id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
707.313 | Angular momentum projection of cranked Hartree-Fock states: Application
to terminating bands in A~44 nuclei | We present the first systematic calculations based on the angular-momentum
projection of cranked Slater determinants. We propose the Iy --> I scheme, by
which one projects the angular momentum I from the 1D cranked state constrained
to the average spin projection of <I_y>=I. Calculations performed for the
rotational band in 46Ti show that the AMP Iy --> I scheme offers a natural
mechanism for correcting the cranking moment of inertia at low-spins and
shifting the terminating state up by ~2 MeV, in accordance with data. We also
apply this scheme to high-spin states near the band termination in A~44 nuclei,
and compare results thereof with experimental data, shell-model calculations,
and results of the approximate analytical symmetry-restoration method proposed
previously.
| nucl-th | we present the first systematic calculations based on the angularmomentum projection of cranked slater determinants we propose the iy i scheme by which one projects the angular momentum i from the 1d cranked state constrained to the average spin projection of i_yi calculations performed for the rotational band in 46ti show that the amp iy i scheme offers a natural mechanism for correcting the cranking moment of inertia at lowspins and shifting the terminating state up by 2 mev in accordance with data we also apply this scheme to highspin states near the band termination in a44 nuclei and compare results thereof with experimental data shellmodel calculations and results of the approximate analytical symmetryrestoration method proposed previously | [['we', 'present', 'the', 'first', 'systematic', 'calculations', 'based', 'on', 'the', 'angularmomentum', 'projection', 'of', 'cranked', 'slater', 'determinants', 'we', 'propose', 'the', 'iy', 'i', 'scheme', 'by', 'which', 'one', 'projects', 'the', 'angular', 'momentum', 'i', 'from', 'the', '1d', 'cranked', 'state', 'constrained', 'to', 'the', 'average', 'spin', 'projection', 'of', 'i_yi', 'calculations', 'performed', 'for', 'the', 'rotational', 'band', 'in', '46ti', 'show', 'that', 'the', 'amp', 'iy', 'i', 'scheme', 'offers', 'a', 'natural', 'mechanism', 'for', 'correcting', 'the', 'cranking', 'moment', 'of', 'inertia', 'at', 'lowspins', 'and', 'shifting', 'the', 'terminating', 'state', 'up', 'by', '2', 'mev', 'in', 'accordance', 'with', 'data', 'we', 'also', 'apply', 'this', 'scheme', 'to', 'highspin', 'states', 'near', 'the', 'band', 'termination', 'in', 'a44', 'nuclei', 'and', 'compare', 'results', 'thereof', 'with', 'experimental', 'data', 'shellmodel', 'calculations', 'and', 'results', 'of', 'the', 'approximate', 'analytical', 'symmetryrestoration', 'method', 'proposed', 'previously']] | [-0.08074038456962035, 0.08377373108248178, -0.07760929113883003, 0.05216500944388507, 0.0035022682019636, -0.11699655284010396, 0.11921660189992715, 0.39356236267638833, -0.21336783431960563, -0.27841003729733066, 0.028994744877420823, -0.26503432747140004, -0.06779684273428038, 0.14487709465493823, 0.02151533815879048, 0.044137234476868785, 0.07341466222791687, -0.024569350049683924, -0.155142623660172, -0.1802121717972975, 0.31608053476329107, 0.10468434129857965, 0.2493292103162068, 0.026430927371205927, 0.07600038761902078, 0.008629409490120515, 0.011197989822871852, -0.03908135510139625, -0.14408295750118877, 0.12800586068330808, 0.22333398576531754, 0.07237827219885953, 0.20802622203298501, -0.4420880438727245, -0.13316860671661662, -0.011399338332315287, 0.1238735132001079, 0.1707751554797716, -0.058904422427682825, -0.2973690599268466, 0.04937719954831297, -0.23492844471413837, -0.16207595051903473, -0.1416103096858582, 0.004427503970075856, 0.021885466721039592, -0.2506786137615053, 0.09353742631445353, 0.03534385569704076, 0.045239925601332255, -0.12280015113534765, -0.21178627126082256, -0.03395582340543338, 0.021826391428986795, 0.05533648847618647, 0.046735143685190564, 0.07747334532701132, -0.02494796750487008, -0.13013329707482307, 0.3909269637477241, -0.04595742996357251, -0.16007360685698427, 0.1052434502655575, -0.13031077797916768, -0.15480431588775104, 0.15000040144577884, 0.11378392227108411, 0.1292427672040567, -0.08058605027760853, 0.0643397959979586, -0.03263197616845565, 0.15045025188214423, -0.00165030913705235, -0.00035184160642848727, 0.1449513887708778, 0.14049470187226115, 0.011299204077212173, 0.07102982211743661, -0.1927952513225344, -0.11196004448605604, -0.29154499195385397, -0.1299704230684591, -0.21618932082007328, 0.0026494720317586733, -0.05354698981822718, -0.08055314028700977, 0.41347057962708567, 0.14212275838087263, 0.1706706225512582, 0.03731082567818496, 0.286411951806625, 0.1085368540513803, 0.05118241205836009, 0.10351263757043502, 0.2630099655831592, 0.1452042638133239, 0.05269191416364424, -0.30649606164814414, 0.007557541262685207, 0.07554317137590005] |
707.3131 | Dynamics of Bloch Oscillations in Disordered Lattice Potentials | We present a detailed analysis of the dynamics of Bloch oscillations of
Bose-Einstein condensates in disordered lattice potentials. Due to the disorder
and the interparticle interactions these oscillations undergo a dephasing,
reflected in a damping of the center of mass oscillations, which should be
observable under realistic experimental conditions. The interplay between
interactions and disorder is far from trivial, ranging from an
interaction-enhanced damping due to modulational instability for strong
interactions, to an interaction-reduced damping due to a dynamical screening of
the disorder potential.
| cond-mat.other cond-mat.dis-nn | we present a detailed analysis of the dynamics of bloch oscillations of boseeinstein condensates in disordered lattice potentials due to the disorder and the interparticle interactions these oscillations undergo a dephasing reflected in a damping of the center of mass oscillations which should be observable under realistic experimental conditions the interplay between interactions and disorder is far from trivial ranging from an interactionenhanced damping due to modulational instability for strong interactions to an interactionreduced damping due to a dynamical screening of the disorder potential | [['we', 'present', 'a', 'detailed', 'analysis', 'of', 'the', 'dynamics', 'of', 'bloch', 'oscillations', 'of', 'boseeinstein', 'condensates', 'in', 'disordered', 'lattice', 'potentials', 'due', 'to', 'the', 'disorder', 'and', 'the', 'interparticle', 'interactions', 'these', 'oscillations', 'undergo', 'a', 'dephasing', 'reflected', 'in', 'a', 'damping', 'of', 'the', 'center', 'of', 'mass', 'oscillations', 'which', 'should', 'be', 'observable', 'under', 'realistic', 'experimental', 'conditions', 'the', 'interplay', 'between', 'interactions', 'and', 'disorder', 'is', 'far', 'from', 'trivial', 'ranging', 'from', 'an', 'interactionenhanced', 'damping', 'due', 'to', 'modulational', 'instability', 'for', 'strong', 'interactions', 'to', 'an', 'interactionreduced', 'damping', 'due', 'to', 'a', 'dynamical', 'screening', 'of', 'the', 'disorder', 'potential']] | [-0.21072919486112981, 0.2633426821182611, -0.09834118669849809, 0.09066613757539631, -0.028767038549083364, -0.1140576930988737, 0.03176189070084996, 0.30065190442557255, -0.2938280571925353, -0.23406429633677725, 0.0368977178818075, -0.3005633675773819, -0.1544043288891574, 0.15869462421074151, 0.049286940864410746, 0.009248960600515088, 0.03109169668372137, -0.03746852096933198, -0.04196939562413707, -0.15207114777841932, 0.33160135302558, 0.05892664944214455, 0.26847608020551594, 0.1391747297560628, 0.0034316660252859794, -0.003966279765478818, 0.08917658422591097, 0.0011262832916375384, -0.14058370393590794, -0.004316931796619242, 0.16288938264485942, -0.07343112262167845, 0.2550517485802432, -0.4554184770593083, -0.22844226714448038, 0.08435441301125719, 0.1787303034328373, 0.22845504222387247, -0.06382320500371685, -0.3522633987097406, -0.0526849181722311, -0.1445994892421302, -0.15095031584601803, -0.08292526388204241, 0.06838839907894831, 0.03502849553408752, -0.33793729452797805, 0.15849655670259732, 0.08684839654246805, 0.10510216134948185, -0.1227756127524358, -0.001064565526433738, -0.039075504634978185, 0.09851614921073239, 0.07707301917463451, -0.0030251457159553305, 0.1439452608710671, -0.15144739683762373, -0.06808305254727827, 0.42767444912748165, -0.0682873581353777, -0.1477853464837893, 0.259786072355437, -0.15690520275047565, -0.03445813884532236, 0.19595052209873515, 0.19968249476009822, 0.021772523062774933, -0.147968301269035, 0.03154929674999138, 0.05640875573932047, 0.1635274853450751, 0.05135059287120779, 0.09567705660789128, 0.2551838666290404, 0.20307123507316932, 0.024481969526463962, 0.1296361587241752, -0.07100881423369185, -0.10095828273389713, -0.26033926125144563, -0.022599363149738455, -0.17716684807316366, 0.10994262712128729, -0.040631702665943674, -0.20620038321084647, 0.4056582397848637, 0.19777901341061455, 0.20126572114987726, -0.02636652325240738, 0.23563009374831095, 0.10840661858533879, 0.07083317224519799, -0.033091283487492656, 0.3150827289946063, 0.20417322618437997, 0.07260452062789216, -0.3477611081136099, 0.007607826006497784, -0.028048850618392587] |
707.3132 | The Dark Side of ROTSE-III Prompt GRB Observations | We present several cases of optical observations during gamma-ray bursts
(GRBs) which resulted in prompt limits but no detection of optical emission.
These limits constrain the prompt optical flux densities and the optical
brightness relative to the gamma-ray emission. The derived constraints fall
within the range of properties observed in GRBs with prompt optical detections,
though at the faint end of optical/gamma flux ratios. The presently accessible
prompt optical limits do not require a different set of intrinsic or
environmental GRB properties, relative to the events with prompt optical
detections.
| astro-ph | we present several cases of optical observations during gammaray bursts grbs which resulted in prompt limits but no detection of optical emission these limits constrain the prompt optical flux densities and the optical brightness relative to the gammaray emission the derived constraints fall within the range of properties observed in grbs with prompt optical detections though at the faint end of opticalgamma flux ratios the presently accessible prompt optical limits do not require a different set of intrinsic or environmental grb properties relative to the events with prompt optical detections | [['we', 'present', 'several', 'cases', 'of', 'optical', 'observations', 'during', 'gammaray', 'bursts', 'grbs', 'which', 'resulted', 'in', 'prompt', 'limits', 'but', 'no', 'detection', 'of', 'optical', 'emission', 'these', 'limits', 'constrain', 'the', 'prompt', 'optical', 'flux', 'densities', 'and', 'the', 'optical', 'brightness', 'relative', 'to', 'the', 'gammaray', 'emission', 'the', 'derived', 'constraints', 'fall', 'within', 'the', 'range', 'of', 'properties', 'observed', 'in', 'grbs', 'with', 'prompt', 'optical', 'detections', 'though', 'at', 'the', 'faint', 'end', 'of', 'opticalgamma', 'flux', 'ratios', 'the', 'presently', 'accessible', 'prompt', 'optical', 'limits', 'do', 'not', 'require', 'a', 'different', 'set', 'of', 'intrinsic', 'or', 'environmental', 'grb', 'properties', 'relative', 'to', 'the', 'events', 'with', 'prompt', 'optical', 'detections']] | [-0.03981891447897959, 0.14644026357596845, -0.014989860601765052, 0.14924673507973718, -0.09854505034268238, -0.073739091222164, 0.08235768033871742, 0.5060676958704933, -0.14356704895499717, -0.3473635632544756, 0.050799509581031924, -0.32621459661867847, 0.06743485693757036, 0.2554607603874246, 0.0016214459993238194, 0.026468258696409425, 0.09891051798797307, -0.10258323691387693, -0.10924869521489639, -0.1930053611233663, 0.21376759964146055, 0.07777183533520594, 0.23978694727522676, 0.06415242792285059, 0.07809241475495562, -0.05844152683727025, -0.10382471629156825, -0.08553438207899888, -0.10824511909669035, 0.05713589776704988, 0.24736920548498295, 0.11785071944095864, 0.0931334796706947, -0.4002579923593596, -0.27107933164689313, 0.21797074823315893, 0.13644368952830857, 0.004036010566083819, 0.018346740623538412, -0.3082069122975462, -0.03021019093039592, -0.17110437863202912, -0.1300479661872129, 0.08641227455600427, 0.056174454739673085, 0.10530809241378408, -0.14808985419320256, 0.09571438513204372, -0.013707360793447927, 0.046799991394947754, -0.10473002415684084, -0.005642719483107663, -0.01987267375316764, 0.03626225213520229, 0.06880726960351628, 0.005879620791234997, 0.18434777944819647, -0.18455739292117318, -0.09993267355465822, 0.428017332731338, -0.05238243080466316, 0.05510998283397783, 0.23184563958065144, -0.23198492813520552, -0.2185008340891911, 0.24588038370515522, 0.14576400201139825, 0.05415917209904181, -0.1802792437060663, -0.08177791860836213, 0.06704730347970898, 0.19493252465899072, 0.009247428583232372, 0.21135323000103864, 0.3195591571876842, 0.10510024480689108, -0.01884239875800447, 0.09065959546087163, -0.28540748525201604, 0.07050585879661729, -0.3337965655151043, -0.04076616693120659, -0.1131261879829376, 0.13241667397535442, -0.06731766459693625, -0.13298430729113267, 0.41863266190283754, 0.12651087142778247, 0.20445471476983237, 0.08181823083602437, 0.3276169471275271, 0.10725585577811318, 0.07165335740349936, 0.06880080860024423, 0.4680872850873497, 0.11026541539206264, 0.12971229413838198, -0.18950985362648629, 0.10619723974214343, -0.03196306056813913] |
707.3133 | Evidence for Three Subpopulations of Globular Clusters in the Early-Type
Post-Starburst Shell Galaxy AM 0139-655 | We present deep HST ACS images of the post-starburt shell galaxy AM 0139-655.
We find evidence for the presence of three distinct globular cluster
subpopulations associated with this galaxy: a centrally concentrated young
population (~ 0.4 Gyr), an intermediate age population (~ 1 Gyr) and an old,
metal-poor population similar to that seen around normal galaxies. The g-I
color distribution of the clusters is bimodal with peaks at 0.85 and 1.35. The
redder peak at g-I=1.35 is consistent with the predicted color for an old
metal-poor population. The clusters associated with the peak at g-I=0.85 are
centrally concentrated and interpreted as a younger and more metal-rich
population. We suggest that these clusters have an age of ~ 0.4 Gyr and solar
metallicity based on a comparison with population synthesis models. The
luminosity function of these "blue" clusters is well represented by a power
law. Interestingly, the brightest shell associated with the galaxy harbors some
of the youngest clusters observed. This seems to indicate that the same merger
event was responsible for the formation of both the shells and the young
clusters. The red part of the color distribution contains several very bright
clusters, which are not expected for an old, metal-poor population.
Furthermore, the luminosity function of the "red" GCs cannot be fit well by
either a single gaussian or a single power law. A composite (gaussian + power
law) fit to the LF of the red clusters yields both a low rms and very plausible
properties for an old population plus an intermediate-age population of GCs.
Hence, we suggest that the red clusters in AM 0139-655 consist of two distinct
GC subpopulations, one being an old, metal-poor population as seen in normal
galaxies and one having formed during a recent dissipative galaxy merger.
| astro-ph | we present deep hst acs images of the poststarburt shell galaxy am 0139655 we find evidence for the presence of three distinct globular cluster subpopulations associated with this galaxy a centrally concentrated young population 04 gyr an intermediate age population 1 gyr and an old metalpoor population similar to that seen around normal galaxies the gi color distribution of the clusters is bimodal with peaks at 085 and 135 the redder peak at gi135 is consistent with the predicted color for an old metalpoor population the clusters associated with the peak at gi085 are centrally concentrated and interpreted as a younger and more metalrich population we suggest that these clusters have an age of 04 gyr and solar metallicity based on a comparison with population synthesis models the luminosity function of these blue clusters is well represented by a power law interestingly the brightest shell associated with the galaxy harbors some of the youngest clusters observed this seems to indicate that the same merger event was responsible for the formation of both the shells and the young clusters the red part of the color distribution contains several very bright clusters which are not expected for an old metalpoor population furthermore the luminosity function of the red gcs cannot be fit well by either a single gaussian or a single power law a composite gaussian power law fit to the lf of the red clusters yields both a low rms and very plausible properties for an old population plus an intermediateage population of gcs hence we suggest that the red clusters in am 0139655 consist of two distinct gc subpopulations one being an old metalpoor population as seen in normal galaxies and one having formed during a recent dissipative galaxy merger | [['we', 'present', 'deep', 'hst', 'acs', 'images', 'of', 'the', 'poststarburt', 'shell', 'galaxy', 'am', '0139655', 'we', 'find', 'evidence', 'for', 'the', 'presence', 'of', 'three', 'distinct', 'globular', 'cluster', 'subpopulations', 'associated', 'with', 'this', 'galaxy', 'a', 'centrally', 'concentrated', 'young', 'population', '04', 'gyr', 'an', 'intermediate', 'age', 'population', '1', 'gyr', 'and', 'an', 'old', 'metalpoor', 'population', 'similar', 'to', 'that', 'seen', 'around', 'normal', 'galaxies', 'the', 'gi', 'color', 'distribution', 'of', 'the', 'clusters', 'is', 'bimodal', 'with', 'peaks', 'at', '085', 'and', '135', 'the', 'redder', 'peak', 'at', 'gi135', 'is', 'consistent', 'with', 'the', 'predicted', 'color', 'for', 'an', 'old', 'metalpoor', 'population', 'the', 'clusters', 'associated', 'with', 'the', 'peak', 'at', 'gi085', 'are', 'centrally', 'concentrated', 'and', 'interpreted', 'as', 'a', 'younger', 'and', 'more', 'metalrich', 'population', 'we', 'suggest', 'that', 'these', 'clusters', 'have', 'an', 'age', 'of', '04', 'gyr', 'and', 'solar', 'metallicity', 'based', 'on', 'a', 'comparison', 'with', 'population', 'synthesis', 'models', 'the', 'luminosity', 'function', 'of', 'these', 'blue', 'clusters', 'is', 'well', 'represented', 'by', 'a', 'power', 'law', 'interestingly', 'the', 'brightest', 'shell', 'associated', 'with', 'the', 'galaxy', 'harbors', 'some', 'of', 'the', 'youngest', 'clusters', 'observed', 'this', 'seems', 'to', 'indicate', 'that', 'the', 'same', 'merger', 'event', 'was', 'responsible', 'for', 'the', 'formation', 'of', 'both', 'the', 'shells', 'and', 'the', 'young', 'clusters', 'the', 'red', 'part', 'of', 'the', 'color', 'distribution', 'contains', 'several', 'very', 'bright', 'clusters', 'which', 'are', 'not', 'expected', 'for', 'an', 'old', 'metalpoor', 'population', 'furthermore', 'the', 'luminosity', 'function', 'of', 'the', 'red', 'gcs', 'can', 'not', 'be', 'fit', 'well', 'by', 'either', 'a', 'single', 'gaussian', 'or', 'a', 'single', 'power', 'law', 'a', 'composite', 'gaussian', 'power', 'law', 'fit', 'to', 'the', 'lf', 'of', 'the', 'red', 'clusters', 'yields', 'both', 'a', 'low', 'rms', 'and', 'very', 'plausible', 'properties', 'for', 'an', 'old', 'population', 'plus', 'an', 'intermediateage', 'population', 'of', 'gcs', 'hence', 'we', 'suggest', 'that', 'the', 'red', 'clusters', 'in', 'am', '0139655', 'consist', 'of', 'two', 'distinct', 'gc', 'subpopulations', 'one', 'being', 'an', 'old', 'metalpoor', 'population', 'as', 'seen', 'in', 'normal', 'galaxies', 'and', 'one', 'having', 'formed', 'during', 'a', 'recent', 'dissipative', 'galaxy', 'merger']] | [-0.019228572338099846, 0.12787489500609095, -0.11190899225095144, 0.1337219625520129, -0.06303426007594884, -0.06419544607576738, 0.038849792601964014, 0.4423170989066675, -0.15057538388707264, -0.35829224114768676, 0.013307457048139841, -0.2954731313727464, -0.029709588302384047, 0.17335239496209065, -0.08302912397564134, -0.09757880215904305, 0.08196646635993741, -0.02795695732640741, 0.010678093121680138, -0.2889180365197647, 0.3081548849146787, 0.020140530595981674, 0.164708938447993, -0.12734594091714418, 0.044625058557701436, -0.09770227296638524, -0.03281009815722033, -0.015172086400468346, -0.09435722558285757, 0.04971494368489968, 0.21460894491530677, 0.1327979830403037, 0.26532397661244145, -0.34364122175774375, -0.17575934802595577, 0.08570671254293537, 0.27350486793809314, 0.0429397196958934, -0.15502560267476667, -0.2574494568227263, 0.08619576256390062, -0.18415996027934134, -0.23664539214386443, 0.13400711260827167, 0.05849657637772144, 0.03511179539772285, -0.21760438594941076, 0.22132298108324625, 0.041911417270776116, 0.09135866045977895, -0.12004932090664491, -0.18082729993075444, -0.07246650051866117, 0.0897392990039922, -0.013475144854290867, 0.050824961290040244, 0.15385281001490383, -0.1446099029779654, -0.017386267871849916, 0.36389331799488955, -0.04073494818416535, 0.03888191023216277, 0.246468023769069, -0.19311319408495423, -0.18180245280239757, 0.08810703081674744, 0.1065918144353151, 0.10827838759085263, -0.18681319128604723, -0.032355529618334725, -0.034330871163776235, 0.2400807491686827, 0.028107569824865127, 0.044515618803899516, 0.34017775780879533, 0.1380518049555684, 0.04274523113219237, 0.10269270475890319, -0.20927849462906295, -0.06699129311108173, -0.20679087615311406, -0.07776779979158037, -0.11317166134428519, 0.08042994073937709, -0.16900732589134998, -0.1794527221285458, 0.34846458729630064, 0.024980912893567676, 0.24674969784332557, 0.0885745263740891, 0.2572748069472324, 0.1184730780810782, 0.15880509903100873, 0.12883997303954736, 0.2341034919911079, 0.17684807761578814, 0.03479810465872939, -0.23721452819561412, 0.09540300334557904, -0.06932343752530462] |
707.3134 | Photon emission rate from atomic systems in the CSL model | We calculate the photon emission rate from a general atomic system in the
mass- proportional CSL model. For an isolated charged particle emitting
kilovolt gamma rays, our results agree with those obtained by Fu. For a neutral
atomic system, photon emission is strongly suppressed for photon wavelengths
much larger than the atomic radius. However, for kilovolt gamma rays, Fu's
result is modified by a structure factor that is of order unity, giving no rate
suppression. Our calculation is readily generalized to the case of non-white
noise, noise couplings that are not mass-proportional, and general
(non-Gaussian) spatial correlation functions, and corresponding results are
given. We briefly discuss the implications of our calculation for upper bounds
on the CSL model parameters.
| quant-ph astro-ph hep-ph hep-th | we calculate the photon emission rate from a general atomic system in the mass proportional csl model for an isolated charged particle emitting kilovolt gamma rays our results agree with those obtained by fu for a neutral atomic system photon emission is strongly suppressed for photon wavelengths much larger than the atomic radius however for kilovolt gamma rays fus result is modified by a structure factor that is of order unity giving no rate suppression our calculation is readily generalized to the case of nonwhite noise noise couplings that are not massproportional and general nongaussian spatial correlation functions and corresponding results are given we briefly discuss the implications of our calculation for upper bounds on the csl model parameters | [['we', 'calculate', 'the', 'photon', 'emission', 'rate', 'from', 'a', 'general', 'atomic', 'system', 'in', 'the', 'mass', 'proportional', 'csl', 'model', 'for', 'an', 'isolated', 'charged', 'particle', 'emitting', 'kilovolt', 'gamma', 'rays', 'our', 'results', 'agree', 'with', 'those', 'obtained', 'by', 'fu', 'for', 'a', 'neutral', 'atomic', 'system', 'photon', 'emission', 'is', 'strongly', 'suppressed', 'for', 'photon', 'wavelengths', 'much', 'larger', 'than', 'the', 'atomic', 'radius', 'however', 'for', 'kilovolt', 'gamma', 'rays', 'fus', 'result', 'is', 'modified', 'by', 'a', 'structure', 'factor', 'that', 'is', 'of', 'order', 'unity', 'giving', 'no', 'rate', 'suppression', 'our', 'calculation', 'is', 'readily', 'generalized', 'to', 'the', 'case', 'of', 'nonwhite', 'noise', 'noise', 'couplings', 'that', 'are', 'not', 'massproportional', 'and', 'general', 'nongaussian', 'spatial', 'correlation', 'functions', 'and', 'corresponding', 'results', 'are', 'given', 'we', 'briefly', 'discuss', 'the', 'implications', 'of', 'our', 'calculation', 'for', 'upper', 'bounds', 'on', 'the', 'csl', 'model', 'parameters']] | [-0.08007038821184523, 0.19781544838238121, -0.01599972294017422, 0.12003954588787771, -0.017918405385234027, -0.13808599580079317, 0.019849462841613954, 0.3690961778883924, -0.18760419147042165, -0.2885765798757745, 0.04068116027717048, -0.30716949012600075, -0.058284702145361474, 0.24801009976864644, 0.022564973787819388, 0.017507435310291548, 0.03309723463676432, 0.011224403844348021, -0.0412821609863401, -0.18395159084216825, 0.3160184880468149, 0.13334341986327894, 0.22848528140701918, 0.08228672159632214, 0.05132985808064833, -0.004628042234577427, -0.040695870079945365, -0.014871623417941713, -0.16463118920187336, 0.07716867781612051, 0.16434881891155256, 0.05849073140807606, 0.1557068777008436, -0.34784020254967596, -0.21855617956720105, 0.10807823703013861, 0.1186684030929909, 0.09784708690179997, -0.04755104687397501, -0.2717181829747376, 0.061457459392229546, -0.17334811072043307, -0.15370786883046522, -0.02050440716987648, 0.026426996257030915, 0.010923966134413137, -0.29745905855993404, 0.11975967545187523, 0.06094566809929156, -0.014296703956514487, -0.05362161731801363, -0.12331770254815576, 0.0029498226246053054, 0.03260397477106763, 0.03254440112798592, 0.05440661118037122, 0.19874694883361646, -0.13086251528667553, -0.11348459003209489, 0.39113300458817674, -0.10432304918901514, -0.18665718597148648, 0.16376349136248983, -0.19956173133809402, -0.11930875175734278, 0.2024034240963955, 0.11679310375773701, 0.1047715130105552, -0.12988323460092394, 0.07539973967266465, -0.03748408124191264, 0.21877156419507346, 0.06434278458967305, 0.08074615590524774, 0.18367428428047344, 0.12137664305124463, 0.05124574192181355, 0.11756927669126571, -0.09708087730315365, -0.0739302095260565, -0.3217217818591274, -0.10658938533180401, -0.18107878681303574, 0.06719997170111731, -0.114987127693955, -0.09975911374693001, 0.35425147423598946, 0.1237285462200266, 0.19073755331650502, 0.07017930280495466, 0.2924031704319876, 0.19712573756688095, 0.036287283775310555, 0.06134000040606415, 0.2812710039106299, 0.14522063666798113, 0.04559729851297095, -0.21748408124226482, 0.05173498660936451, 0.037820832784279806] |
707.3135 | Stress Tensor of Static Dipoles in strongly coupled $\cal{N}$=4 Gauge
Theory | In the context of the AdS/CFT correspondence we calculate the induced stress
tensor of static dipoles (electric-electric and electric-magnetic) in a
strongly coupled ${\cal N}=4$ SYM gauge theory, by solving the linearized
Einstein equation with Maldecena string as a source. Analytic expressions are
given for the far-field and a near-field close to one charge, and compared to
what one has in weak coupling. The result can be compared to lattice results
for QCD-like theories in a deconfined but strongly coupled regime.
| hep-th | in the context of the adscft correspondence we calculate the induced stress tensor of static dipoles electricelectric and electricmagnetic in a strongly coupled cal n4 sym gauge theory by solving the linearized einstein equation with maldecena string as a source analytic expressions are given for the farfield and a nearfield close to one charge and compared to what one has in weak coupling the result can be compared to lattice results for qcdlike theories in a deconfined but strongly coupled regime | [['in', 'the', 'context', 'of', 'the', 'adscft', 'correspondence', 'we', 'calculate', 'the', 'induced', 'stress', 'tensor', 'of', 'static', 'dipoles', 'electricelectric', 'and', 'electricmagnetic', 'in', 'a', 'strongly', 'coupled', 'cal', 'n4', 'sym', 'gauge', 'theory', 'by', 'solving', 'the', 'linearized', 'einstein', 'equation', 'with', 'maldecena', 'string', 'as', 'a', 'source', 'analytic', 'expressions', 'are', 'given', 'for', 'the', 'farfield', 'and', 'a', 'nearfield', 'close', 'to', 'one', 'charge', 'and', 'compared', 'to', 'what', 'one', 'has', 'in', 'weak', 'coupling', 'the', 'result', 'can', 'be', 'compared', 'to', 'lattice', 'results', 'for', 'qcdlike', 'theories', 'in', 'a', 'deconfined', 'but', 'strongly', 'coupled', 'regime']] | [-0.12764679352985694, 0.18488835034659132, -0.06438085618428886, 0.07216389088425786, -0.06428848640061915, -0.16938761787023396, -0.056046719635196494, 0.33954164244933055, -0.189421278637019, -0.22842143507441506, 0.044993655540747565, -0.3147445433132816, -0.15119271108414978, 0.12187320388620719, 0.010642193630337715, 0.039463603618787604, 0.002989089424954727, 0.08383489399566316, -0.10508201269549318, -0.19938170143868775, 0.2954620129952673, 0.014262719982070848, 0.2951026113936678, 0.1091542033944279, 0.06358321964507922, 0.0002475987421348691, 0.036258538626134394, 0.0876594940724317, -0.0945055850315839, 0.11080796143505722, 0.26467777413781735, 0.024876550695626064, 0.1262247720034793, -0.46070649167522787, -0.19805132440524176, 0.03787966601666994, 0.15704556888667867, 0.1658479676116258, -0.007201571910991333, -0.28365203766152264, 0.07042383868974866, -0.1582361591164954, -0.15442941801593407, -0.07062330620829016, -0.012656315497588366, -0.045968085032654926, -0.29105198301840574, 0.08008066800248344, 0.009894518018700182, 0.010834515365422704, -0.0616505484940717, -0.008924112562090159, -0.030263005604501812, 0.055981002160115166, 0.09797924860904458, 0.12185873762937263, 0.11042383378953673, -0.24441566872410475, -0.10641260261181743, 0.4117973836604506, -0.12331203686771915, -0.24733116149436682, 0.18208379124407656, -0.15769039593287743, -0.10184441084857099, 0.09442186086380389, 0.12094079627422616, 0.1819005073281005, -0.14868452664231882, 0.15995106840055087, -0.04305690302280709, 0.13725634338334203, 0.11727677352610044, 0.03683740989654325, 0.2631579189328477, 0.10208052801317535, 0.013899678969755769, 0.1734679072178551, 0.03653749374207109, -0.12854459500813392, -0.34537036819383504, -0.10097749774577096, -0.16092677449632903, 0.08151247717032675, -0.14046327780179127, -0.16631585085997358, 0.3293230192211922, 0.12825332395295846, 0.14264423409549637, 0.02518663030350581, 0.21841049706563354, 0.1726264346492826, 0.06238859347067773, 0.06194431801559404, 0.3185230414121179, 0.23605110283824615, 0.09526221249252557, -0.29569068308919666, -0.11504122868645936, 0.1663421743141953] |
707.3136 | Towards an analytical theory for charged hard spheres | Ion mixtures require an exclusion core to avoid collapse. The Debye Hueckel
theory, where ions are point charges, is accurate only in the limit of infinite
dilution. The MSA is the embedding of hard cores into DH, is valid for higher
densities. In the MSA the properties of any ionic mixture can be represented by
a single screening parameter $\Gamma$. For equal ionic size restricted model is
obtained from the Debye parameter $\kappa$. This one parameter representation
(BIMSA) is valid for complex and associating systems, such as the general
n-polyelectrolytes. The BIMSA is the only theory that satisfies the infinite
dilution limit of the DH theory for any chain length. The contact pair
distribution function of hard ions mixture is a functional of $\Gamma$ and a
small mean field parameter. This yields good agreement with the Monte Carlo
(Bresme et al. Phys. Rev. E {\textbf 51} 289 (1995)) .
| cond-mat.soft cond-mat.stat-mech | ion mixtures require an exclusion core to avoid collapse the debye hueckel theory where ions are point charges is accurate only in the limit of infinite dilution the msa is the embedding of hard cores into dh is valid for higher densities in the msa the properties of any ionic mixture can be represented by a single screening parameter gamma for equal ionic size restricted model is obtained from the debye parameter kappa this one parameter representation bimsa is valid for complex and associating systems such as the general npolyelectrolytes the bimsa is the only theory that satisfies the infinite dilution limit of the dh theory for any chain length the contact pair distribution function of hard ions mixture is a functional of gamma and a small mean field parameter this yields good agreement with the monte carlo bresme et al phys rev e textbf 51 289 1995 | [['ion', 'mixtures', 'require', 'an', 'exclusion', 'core', 'to', 'avoid', 'collapse', 'the', 'debye', 'hueckel', 'theory', 'where', 'ions', 'are', 'point', 'charges', 'is', 'accurate', 'only', 'in', 'the', 'limit', 'of', 'infinite', 'dilution', 'the', 'msa', 'is', 'the', 'embedding', 'of', 'hard', 'cores', 'into', 'dh', 'is', 'valid', 'for', 'higher', 'densities', 'in', 'the', 'msa', 'the', 'properties', 'of', 'any', 'ionic', 'mixture', 'can', 'be', 'represented', 'by', 'a', 'single', 'screening', 'parameter', 'gamma', 'for', 'equal', 'ionic', 'size', 'restricted', 'model', 'is', 'obtained', 'from', 'the', 'debye', 'parameter', 'kappa', 'this', 'one', 'parameter', 'representation', 'bimsa', 'is', 'valid', 'for', 'complex', 'and', 'associating', 'systems', 'such', 'as', 'the', 'general', 'npolyelectrolytes', 'the', 'bimsa', 'is', 'the', 'only', 'theory', 'that', 'satisfies', 'the', 'infinite', 'dilution', 'limit', 'of', 'the', 'dh', 'theory', 'for', 'any', 'chain', 'length', 'the', 'contact', 'pair', 'distribution', 'function', 'of', 'hard', 'ions', 'mixture', 'is', 'a', 'functional', 'of', 'gamma', 'and', 'a', 'small', 'mean', 'field', 'parameter', 'this', 'yields', 'good', 'agreement', 'with', 'the', 'monte', 'carlo', 'bresme', 'et', 'al', 'phys', 'rev', 'e', 'textbf', '51', '289', '1995']] | [-0.08897432475674173, 0.1881798054909167, -0.04365279197938637, 0.06056774190397442, -0.02721564606084333, -0.14326306085826623, 0.06593976959185158, 0.3142304538745925, -0.21505140910287285, -0.28006867063878516, 0.012731670494152544, -0.28689727251831854, -0.04275680863712397, 0.15067845611257427, -0.01131259140998332, 0.02283018658636138, 0.04076356970148885, 0.03231318913620069, -0.05855753275197154, -0.19431256595999002, 0.22946543335274328, 0.07698950990258406, 0.2538537505315617, 0.047563370520139064, 0.08450400766256887, 0.05127542964894221, 0.036989678741924256, 0.06426936644776207, -0.15276356923787818, 0.08518061297945678, 0.2131674704489544, 0.040463863264044955, 0.21282289009468514, -0.35960880148276275, -0.2539492903548914, 0.1260414505442087, 0.11147202296383006, 0.09527859490966269, 0.027102903262453362, -0.2284000730158166, 0.06734476260296812, -0.20066704385034326, -0.15637325636796756, -0.039627214786984645, 0.0852440221650694, 0.04741533351059641, -0.3351399396261614, 0.14150734153938377, 0.06187822016525186, 0.04357391469723856, -0.057645163949928246, -0.1684828946850353, 0.004571388585544709, 0.06581487968408813, -0.013362867541016184, 0.0769839775117968, 0.1486887091369782, -0.09235718412350656, -0.04889732415257539, 0.3923308085488518, -0.06304332394696151, -0.21215861073384681, 0.2014057475058103, -0.11796447711013672, -0.14113260558547658, 0.18739194778350388, 0.07985944184151271, 0.12879267638264638, -0.14485938002407137, 0.17545747225247194, -0.06445921497793784, 0.21044149358519665, 0.07035586227236006, -0.0380037800302691, 0.1992075343914621, 0.16615462598080435, 0.006256077457995464, 0.12311285517929112, -0.0938037813773715, -0.12292049475177515, -0.30413134014816023, -0.1825051645661612, -0.21597541107459822, 0.04183929582682645, -0.13274095494913732, -0.2024642542237416, 0.28483110980596393, 0.10121597740666427, 0.1961071939375769, 0.03253887116605054, 0.2375602002381735, 0.15164329089505676, 0.034307523934532784, 0.06560313306787673, 0.21488893775191778, 0.16471164632255547, 0.025974549828485276, -0.20888798429869995, 0.07867750985961822, 0.10318132112863371] |
707.3137 | Accurate theoretical fits to laser ARPES EDCs in the normal phase of
cuprate superconductors | Anderson has recently proposed a theory of the strange metal state above Tc
in the high Tc superconductors. [arXiv:cond-mat/0512471] It is based on the
idea that the unusual transport properties and spectral functions are caused by
the strong Mott- Hubbard interactions and can be computed by using the formal
apparatus of Gutzwiller projection. In ref. 1 Anderson computed only the
tunneling spectrum and the power-law exponent of the infrared conductivity. He
had calculated the energy distribution curves (EDCs) in angle resolved
photoemission spectroscopy (ARPES) but was discouraged when these differed
radically from the best ARPES measurements available at the time, and did not
include them. In this letter we compare the spectral functions computed within
this model to the novel laser-ARPES data of the Dessau group.These are found to
capture the shape of the experimental EDCs with unprecedented accuracy and in
principle have only one free parameter.
| cond-mat.str-el cond-mat.supr-con | anderson has recently proposed a theory of the strange metal state above tc in the high tc superconductors arxivcondmat0512471 it is based on the idea that the unusual transport properties and spectral functions are caused by the strong mott hubbard interactions and can be computed by using the formal apparatus of gutzwiller projection in ref 1 anderson computed only the tunneling spectrum and the powerlaw exponent of the infrared conductivity he had calculated the energy distribution curves edcs in angle resolved photoemission spectroscopy arpes but was discouraged when these differed radically from the best arpes measurements available at the time and did not include them in this letter we compare the spectral functions computed within this model to the novel laserarpes data of the dessau groupthese are found to capture the shape of the experimental edcs with unprecedented accuracy and in principle have only one free parameter | [['anderson', 'has', 'recently', 'proposed', 'a', 'theory', 'of', 'the', 'strange', 'metal', 'state', 'above', 'tc', 'in', 'the', 'high', 'tc', 'superconductors', 'arxivcondmat0512471', 'it', 'is', 'based', 'on', 'the', 'idea', 'that', 'the', 'unusual', 'transport', 'properties', 'and', 'spectral', 'functions', 'are', 'caused', 'by', 'the', 'strong', 'mott', 'hubbard', 'interactions', 'and', 'can', 'be', 'computed', 'by', 'using', 'the', 'formal', 'apparatus', 'of', 'gutzwiller', 'projection', 'in', 'ref', '1', 'anderson', 'computed', 'only', 'the', 'tunneling', 'spectrum', 'and', 'the', 'powerlaw', 'exponent', 'of', 'the', 'infrared', 'conductivity', 'he', 'had', 'calculated', 'the', 'energy', 'distribution', 'curves', 'edcs', 'in', 'angle', 'resolved', 'photoemission', 'spectroscopy', 'arpes', 'but', 'was', 'discouraged', 'when', 'these', 'differed', 'radically', 'from', 'the', 'best', 'arpes', 'measurements', 'available', 'at', 'the', 'time', 'and', 'did', 'not', 'include', 'them', 'in', 'this', 'letter', 'we', 'compare', 'the', 'spectral', 'functions', 'computed', 'within', 'this', 'model', 'to', 'the', 'novel', 'laserarpes', 'data', 'of', 'the', 'dessau', 'groupthese', 'are', 'found', 'to', 'capture', 'the', 'shape', 'of', 'the', 'experimental', 'edcs', 'with', 'unprecedented', 'accuracy', 'and', 'in', 'principle', 'have', 'only', 'one', 'free', 'parameter']] | [-0.06409731977974945, 0.14066334483989826, -0.12082346015288042, 0.08554554664927612, -0.031717748950743245, -0.16539034131953181, 0.08709473591281697, 0.4033720100479614, -0.24761483256265315, -0.31688882345204344, 0.020563537800626364, -0.3276642164694042, -0.10115094588011037, 0.17962243489980917, -0.02445255130846312, 0.07861805144218831, -0.0009962350401716928, -0.022467671304992918, -0.10899014158349019, -0.22463236935275038, 0.3126734537460531, 0.07233345859114909, 0.2785160475695092, 0.09989551557939397, 0.0346748901574756, 0.015823832908709947, 0.012527244032955624, 0.03213837920258003, -0.14028547996091825, 0.08543779606892106, 0.24982093293187468, 0.027647342494068045, 0.19637528526800452, -0.39841424950605464, -0.2687395135160639, 0.014887571055118719, 0.12645755836274475, 0.08766871693337129, -0.03259212537361438, -0.27915903394265723, 0.04283027569504662, -0.16234033032378647, -0.13257504324752112, -0.09744984879701708, -0.022177835894075945, 0.009543391914727787, -0.19624185150476275, 0.1105695972962874, -0.0052904874755768105, 0.08490886937619911, -0.09326741075266101, -0.1159216560319894, -0.04961647136257044, 0.08228598989020004, 0.04316520359538521, 0.04558898842596035, 0.08884349032369857, -0.10707535889620583, -0.09501103596994653, 0.32921588777874905, -0.05787896632359156, -0.08982514086690369, 0.16273990472190134, -0.22298774213737083, -0.09595076009928663, 0.15644035268794848, 0.07418394092140564, 0.10648909390632373, -0.1536056754837571, 0.10497741548614511, -0.04760783301672847, 0.20136350394265415, 0.04240942950936086, 0.04289709228194422, 0.18079182584511322, 0.1285693087758975, -0.03004040953722627, 0.07767365038065084, -0.14195951494447298, -0.04499556846632105, -0.24021690943239568, -0.11415938045441483, -0.2424356927901196, 0.03503066387212231, -0.04316954345702268, -0.13874822825891897, 0.42138125846071894, 0.1583459351321734, 0.20944221421248382, -0.024468262718680005, 0.2590182619298705, 0.1599918614948466, 0.07715977367155978, 0.049070299493097186, 0.29168968573341975, 0.10411988403777489, 0.1309332957446006, -0.2727437594941067, 0.09888074485610963, 0.04936325401568967] |
707.3138 | ACM sets of points in multiprojective space | If X is a finite set of points in a multiprojective space P^n1 x ... x P^nr
with r >= 2, then X may or may not be arithmetically Cohen-Macaulay (ACM). For
sets of points in P^1 x P^1 there are several classifications of the ACM sets
of points. In this paper we investigate the natural generalizations of these
classifications to an arbitrary multiprojective space. We show that each
classification for ACM points in P^1 x P^1 fails to extend to the general case.
We also give some new necessary and sufficient conditions for a set of points
to be ACM.
| math.AC math.AG | if x is a finite set of points in a multiprojective space pn1 x x pnr with r 2 then x may or may not be arithmetically cohenmacaulay acm for sets of points in p1 x p1 there are several classifications of the acm sets of points in this paper we investigate the natural generalizations of these classifications to an arbitrary multiprojective space we show that each classification for acm points in p1 x p1 fails to extend to the general case we also give some new necessary and sufficient conditions for a set of points to be acm | [['if', 'x', 'is', 'a', 'finite', 'set', 'of', 'points', 'in', 'a', 'multiprojective', 'space', 'pn1', 'x', 'x', 'pnr', 'with', 'r', '2', 'then', 'x', 'may', 'or', 'may', 'not', 'be', 'arithmetically', 'cohenmacaulay', 'acm', 'for', 'sets', 'of', 'points', 'in', 'p1', 'x', 'p1', 'there', 'are', 'several', 'classifications', 'of', 'the', 'acm', 'sets', 'of', 'points', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'natural', 'generalizations', 'of', 'these', 'classifications', 'to', 'an', 'arbitrary', 'multiprojective', 'space', 'we', 'show', 'that', 'each', 'classification', 'for', 'acm', 'points', 'in', 'p1', 'x', 'p1', 'fails', 'to', 'extend', 'to', 'the', 'general', 'case', 'we', 'also', 'give', 'some', 'new', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'a', 'set', 'of', 'points', 'to', 'be', 'acm']] | [-0.19142779459555945, 0.02656091262972702, -0.06980809615454589, 0.05449742427791911, -0.01553708934601434, -0.15205742716507026, 0.07373685340251247, 0.39821513036661077, -0.2954887499788193, -0.1656688427307991, 0.13799821868576487, -0.2694232890928032, -0.11909507905165995, 0.19341446893675385, -0.17962886181406, 0.015711553390090813, 0.02663208923368442, 0.0683976597707681, -0.11585477870098795, -0.43010231316315406, 0.3746396274108327, -0.08992190256413787, 0.19714951712751028, 0.05392011966688013, 0.09914493948371723, 3.477429143256611e-05, 0.030277831613961043, 0.044802826649928, -0.1734538543244002, 0.1309085882767433, 0.33884444215683024, 0.1431759994928584, 0.20605275941768078, -0.3327437652124449, -0.1621716945441534, 0.2737715347303134, 0.11004765882072123, 0.024680032181986278, 0.029951539346854194, -0.2066073307198369, 0.19625786442610652, -0.0758985441949482, -0.14178922374478795, -0.13670138897129683, 0.11534956121591455, 0.04967434406092371, -0.3112523832612417, -0.05422433705399556, 0.0948431348202355, 0.12322919301199492, -0.06900870862576847, -0.1246090729713835, -0.07479368971491401, 0.035782753144193324, -0.043287274514729475, 0.10621982301594783, 0.004887310512871904, -0.054556510089002926, -0.11695489069597438, 0.39530202302366796, -0.020751806841504693, -0.24129108340488842, 0.18066330604029424, -0.1806202529920171, -0.17231136863825447, 0.13720142309826733, 0.14667089625421648, 0.16574944811520365, -0.03756135131110146, 0.15677707252795856, -0.1229897319913061, 0.13977408388422596, 0.09220608820047493, 0.003100130042047099, 0.1377343965524977, 0.0931103386248302, 0.12967049216174267, 0.0894731573191368, -0.06806464243040543, 0.03622050305376902, -0.40750865404955067, -0.19493314378302207, -0.13756888476435583, 0.1048359093775166, -0.08433036518390784, -0.14800172115704327, 0.35312109981484785, 0.1155562114483216, 0.2560238167831693, 0.010278584360323771, 0.18814259043170345, 0.03185698427136451, -0.056469949150476796, 0.12241268770374132, 0.11864227418654899, 0.09819762654263865, 0.006916535933586684, -0.05766719602274172, -0.02714964139717396, 0.14376285506619346] |
707.3139 | Separators of points in a multiprojective space | In this note we develop some of the properties of separators of points in a
multiprojective space. In particular, we prove multigraded analogs of results
of Geramita, Maroscia, and Roberts relating the Hilbert function of X and X
\{P} via the degree of a separator, and Abrescia, Bazzotti, and Marino relating
the degree of a separator to shifts in the minimal multigraded free resolution
of the ideal of points.
| math.AC math.AG | in this note we develop some of the properties of separators of points in a multiprojective space in particular we prove multigraded analogs of results of geramita maroscia and roberts relating the hilbert function of x and x p via the degree of a separator and abrescia bazzotti and marino relating the degree of a separator to shifts in the minimal multigraded free resolution of the ideal of points | [['in', 'this', 'note', 'we', 'develop', 'some', 'of', 'the', 'properties', 'of', 'separators', 'of', 'points', 'in', 'a', 'multiprojective', 'space', 'in', 'particular', 'we', 'prove', 'multigraded', 'analogs', 'of', 'results', 'of', 'geramita', 'maroscia', 'and', 'roberts', 'relating', 'the', 'hilbert', 'function', 'of', 'x', 'and', 'x', 'p', 'via', 'the', 'degree', 'of', 'a', 'separator', 'and', 'abrescia', 'bazzotti', 'and', 'marino', 'relating', 'the', 'degree', 'of', 'a', 'separator', 'to', 'shifts', 'in', 'the', 'minimal', 'multigraded', 'free', 'resolution', 'of', 'the', 'ideal', 'of', 'points']] | [-0.17328451139231524, 0.07313688819748208, -0.09027760998684574, 0.032569099547496684, -0.0007347810209136118, -0.048592212250117554, 0.061643239362941436, 0.3008157450381215, -0.317826291151119, -0.23934622950654363, 0.06617683525705202, -0.25233046214491356, -0.12256906791166826, 0.170064607748028, -0.13182040098631245, 0.040207369648145905, 0.032848344410233425, 0.05741771286932018, -0.10416836781201488, -0.2581346999063636, 0.3885178331172828, 0.035328299343360195, 0.18726955550355892, 0.07172349741625966, 0.13851714595644313, 0.02943326583640142, -0.024773487101562998, 0.059831289630506726, -0.22368108963763172, 0.1912202253994165, 0.24637937233218868, 0.13027298898845346, 0.22474436817521398, -0.3836417336468444, -0.11566598118974292, 0.16580877492599416, 0.09355922154094459, 0.016072276817849895, -0.019601959075468283, -0.1874935243730292, 0.1291982754641636, -0.10990466846013794, -0.18410646226821523, -0.04478916081345894, 0.0531512360144971, 0.10519284086132591, -0.2756930898846776, -0.0007677689533342015, 0.120699227724055, 0.14246971505186098, -0.03362961717048717, -0.11294095912440257, -0.054672294705541746, 0.056319643136565435, -0.02515120062073975, 0.025138301633749947, 0.01924675890724316, -0.1405363034167694, -0.13500226736350945, 0.34043045945917116, -0.057703447118084034, -0.18480882184071976, 0.14785662219351667, -0.2282013636872624, -0.15445878524615458, 0.1065839726590749, 0.11100706381187068, 0.18841314866122874, -0.02679506762687004, 0.19093186426272785, -0.12481195555830543, 0.056285635539979645, 0.13867641756819052, 0.04298647501590577, 0.10544625000858848, 0.11179719231387769, 0.09151261452246796, 0.17299900559891918, -0.06945940465525244, 0.012522993919750055, -0.3846037612494194, -0.27679198342516564, -0.1603716938248412, 0.0888510879524278, -0.10342708856103744, -0.15681188169048366, 0.46580187597481365, 0.11766195486327916, 0.2659529526797335, 0.031180306210775267, 0.1951727745401899, 0.05677524360009667, -0.00506952049379999, 0.058497929254151655, 0.1266106027623843, 0.19474064212673428, 0.01265489115295085, -0.17556371613560864, -0.00506760584980701, 0.17671467357484455] |
707.314 | Interaction-controlled transport of an ultracold Fermi gas | We explore the transport properties of an interacting Fermi gas in a
three-dimensional optical lattice. The center of mass dynamics of the atoms
after a sudden displacement of the trap minimum is monitored for different
interaction strengths and lattice fillings. With increasingly strong attractive
interactions the weakly damped oscillation, observed for the non-interacting
case, turns into a slow relaxational drift. Tuning the interaction strength
during the evolution allows us to dynamically control the transport behavior.
Strong attraction between the atoms leads to the formation of local pairs with
a reduced tunneling rate. The interpretation in terms of pair formation is
supported by a measurement of the number of doubly occupied lattice sites. This
quantity also allows us to determine the temperature of the non-interacting gas
in the lattice to be as low as (27\pm2)% of the Fermi temperature.
| cond-mat.str-el quant-ph | we explore the transport properties of an interacting fermi gas in a threedimensional optical lattice the center of mass dynamics of the atoms after a sudden displacement of the trap minimum is monitored for different interaction strengths and lattice fillings with increasingly strong attractive interactions the weakly damped oscillation observed for the noninteracting case turns into a slow relaxational drift tuning the interaction strength during the evolution allows us to dynamically control the transport behavior strong attraction between the atoms leads to the formation of local pairs with a reduced tunneling rate the interpretation in terms of pair formation is supported by a measurement of the number of doubly occupied lattice sites this quantity also allows us to determine the temperature of the noninteracting gas in the lattice to be as low as 27pm2 of the fermi temperature | [['we', 'explore', 'the', 'transport', 'properties', 'of', 'an', 'interacting', 'fermi', 'gas', 'in', 'a', 'threedimensional', 'optical', 'lattice', 'the', 'center', 'of', 'mass', 'dynamics', 'of', 'the', 'atoms', 'after', 'a', 'sudden', 'displacement', 'of', 'the', 'trap', 'minimum', 'is', 'monitored', 'for', 'different', 'interaction', 'strengths', 'and', 'lattice', 'fillings', 'with', 'increasingly', 'strong', 'attractive', 'interactions', 'the', 'weakly', 'damped', 'oscillation', 'observed', 'for', 'the', 'noninteracting', 'case', 'turns', 'into', 'a', 'slow', 'relaxational', 'drift', 'tuning', 'the', 'interaction', 'strength', 'during', 'the', 'evolution', 'allows', 'us', 'to', 'dynamically', 'control', 'the', 'transport', 'behavior', 'strong', 'attraction', 'between', 'the', 'atoms', 'leads', 'to', 'the', 'formation', 'of', 'local', 'pairs', 'with', 'a', 'reduced', 'tunneling', 'rate', 'the', 'interpretation', 'in', 'terms', 'of', 'pair', 'formation', 'is', 'supported', 'by', 'a', 'measurement', 'of', 'the', 'number', 'of', 'doubly', 'occupied', 'lattice', 'sites', 'this', 'quantity', 'also', 'allows', 'us', 'to', 'determine', 'the', 'temperature', 'of', 'the', 'noninteracting', 'gas', 'in', 'the', 'lattice', 'to', 'be', 'as', 'low', 'as', '27pm2', 'of', 'the', 'fermi', 'temperature']] | [-0.17773347977552237, 0.2195390906622744, -0.04376276111592246, 0.028747062393409763, -0.006676283865541655, -0.12872380489673818, 0.07877203197826896, 0.3325979006561675, -0.2921595621351017, -0.2820827913246233, 0.0033596603745377086, -0.28339381783161427, -0.055328097221625114, 0.14930425048635823, 0.06573909248504108, -0.0062337853150428646, 0.029465792918183506, 0.014578616416530453, -0.07008532564203343, -0.23299208087982595, 0.2901811290559542, 0.09773117048584305, 0.27837259159253464, 0.08057720409910174, 0.05623695100011834, 0.046683364156905535, 0.05521160384544926, 0.025134260599657784, -0.14471729894433796, 0.09390493772019391, 0.16453639954331936, -0.027311591730609427, 0.2551833424363693, -0.4196054881071522, -0.19572145331406246, 0.0923266898514363, 0.16505683681173047, 0.14300182785662094, -0.03864688867699681, -0.2716252977133858, -0.05079706734467814, -0.15754136610028407, -0.2017815147873259, -0.05438102474164245, 0.04637306358964339, 0.06073057665625573, -0.26510991658216654, 0.11664076157090132, 0.015806185312732292, 0.042857680170640455, -0.087948315587391, -0.017224414471237764, -0.06357557345589582, 0.12069313572702699, 0.028906689264240545, 0.015030815942471262, 0.17413537934708007, -0.14504190347578894, -0.04687755122563265, 0.40471469759125345, -0.10479043931088472, -0.14263447255990638, 0.26411370390237576, -0.1890005530639939, -0.06308256425507312, 0.19429988591136396, 0.1450737607155512, 0.04725011861305276, -0.16181187373144132, 0.059507113944078004, -0.019239238442948264, 0.1537549345733693, 0.031018171884309855, 0.04973424066038272, 0.2816795846515328, 0.19757508143891384, 0.07534288976640596, 0.16751667972650705, -0.12704932434062888, -0.12604641918956308, -0.25008955221609586, -0.1375334183744964, -0.1891023563493016, 0.06668277256136393, -0.0541900615954566, -0.17305575028728068, 0.4032819624174468, 0.11918120678636605, 0.25934928765071785, -0.02448587566747986, 0.22900638022344477, 0.12637432316194092, 0.06607122705012125, 0.02027902958819466, 0.2577953470435782, 0.16421916717697396, 0.06448389286596845, -0.3420999355097539, 0.029922370452401533, 0.06592053777273119] |
707.3141 | The Nature of CO Emission From z~6 Quasars | We investigate the nature of CO emission from z~6 quasars by combining
non-LTE radiative transfer calculations with merger-driven models of z~6 quasar
formation that arise naturally in LCDM cosmological simulations. We consider
four model quasars formed in 10^12-10^13 M_sun halos from different merging
histories. Our main results follow. Owing to massive starbursts and funneling
of dense gas into the nuclear regions of merging galaxies, the CO is highly
excited and the flux density peaks between J=5-8. The CO morphology of z~6
quasars often exhibits multiple emission peaks which arise from H2
concentrations which have not yet fully coalesced. Quasars at z~6 display a
large range of sightline dependent line widths such that the lines are
narrowest when the rotating H2 gas associated with the quasar is viewed face-on
(when L_B is largest), and broadest when the gas is seen edge-on (when L_B is
lowest). Thus for all models selection effects exist such that quasars selected
for optical luminosity are preferentially face-on which may result in detected
CO line widths narrower than the median. The sightline averaged line width is
reflective of the circular velocity (V_c) of the host halo, and ranges from
sigma~300-650 km/s. For optically selected QSOs, 10-25% (halo-mass dependant)
of sightlines have narrow line widths compatible with the sole CO detection at
z>6, J1148+5251. When accounting for both the temporal evolution of CO line
widths, as well as the redshift evolution of halo V_c, these models
self-consistently account for the CO line widths of both z~2 sub-mm galaxies
and QSO's. Finally, the dynamical mass derived from the sightline averaged line
widths provides a good estimate of the total mass, and allows for a stellar
bulge and SMBH consistent with the local M_BH-M_bulge relation. [abridged]
| astro-ph | we investigate the nature of co emission from z6 quasars by combining nonlte radiative transfer calculations with mergerdriven models of z6 quasar formation that arise naturally in lcdm cosmological simulations we consider four model quasars formed in 10121013 m_sun halos from different merging histories our main results follow owing to massive starbursts and funneling of dense gas into the nuclear regions of merging galaxies the co is highly excited and the flux density peaks between j58 the co morphology of z6 quasars often exhibits multiple emission peaks which arise from h2 concentrations which have not yet fully coalesced quasars at z6 display a large range of sightline dependent line widths such that the lines are narrowest when the rotating h2 gas associated with the quasar is viewed faceon when l_b is largest and broadest when the gas is seen edgeon when l_b is lowest thus for all models selection effects exist such that quasars selected for optical luminosity are preferentially faceon which may result in detected co line widths narrower than the median the sightline averaged line width is reflective of the circular velocity v_c of the host halo and ranges from sigma300650 kms for optically selected qsos 1025 halomass dependant of sightlines have narrow line widths compatible with the sole co detection at z6 j11485251 when accounting for both the temporal evolution of co line widths as well as the redshift evolution of halo v_c these models selfconsistently account for the co line widths of both z2 submm galaxies and qsos finally the dynamical mass derived from the sightline averaged line widths provides a good estimate of the total mass and allows for a stellar bulge and smbh consistent with the local m_bhm_bulge relation abridged | [['we', 'investigate', 'the', 'nature', 'of', 'co', 'emission', 'from', 'z6', 'quasars', 'by', 'combining', 'nonlte', 'radiative', 'transfer', 'calculations', 'with', 'mergerdriven', 'models', 'of', 'z6', 'quasar', 'formation', 'that', 'arise', 'naturally', 'in', 'lcdm', 'cosmological', 'simulations', 'we', 'consider', 'four', 'model', 'quasars', 'formed', 'in', '10121013', 'm_sun', 'halos', 'from', 'different', 'merging', 'histories', 'our', 'main', 'results', 'follow', 'owing', 'to', 'massive', 'starbursts', 'and', 'funneling', 'of', 'dense', 'gas', 'into', 'the', 'nuclear', 'regions', 'of', 'merging', 'galaxies', 'the', 'co', 'is', 'highly', 'excited', 'and', 'the', 'flux', 'density', 'peaks', 'between', 'j58', 'the', 'co', 'morphology', 'of', 'z6', 'quasars', 'often', 'exhibits', 'multiple', 'emission', 'peaks', 'which', 'arise', 'from', 'h2', 'concentrations', 'which', 'have', 'not', 'yet', 'fully', 'coalesced', 'quasars', 'at', 'z6', 'display', 'a', 'large', 'range', 'of', 'sightline', 'dependent', 'line', 'widths', 'such', 'that', 'the', 'lines', 'are', 'narrowest', 'when', 'the', 'rotating', 'h2', 'gas', 'associated', 'with', 'the', 'quasar', 'is', 'viewed', 'faceon', 'when', 'l_b', 'is', 'largest', 'and', 'broadest', 'when', 'the', 'gas', 'is', 'seen', 'edgeon', 'when', 'l_b', 'is', 'lowest', 'thus', 'for', 'all', 'models', 'selection', 'effects', 'exist', 'such', 'that', 'quasars', 'selected', 'for', 'optical', 'luminosity', 'are', 'preferentially', 'faceon', 'which', 'may', 'result', 'in', 'detected', 'co', 'line', 'widths', 'narrower', 'than', 'the', 'median', 'the', 'sightline', 'averaged', 'line', 'width', 'is', 'reflective', 'of', 'the', 'circular', 'velocity', 'v_c', 'of', 'the', 'host', 'halo', 'and', 'ranges', 'from', 'sigma300650', 'kms', 'for', 'optically', 'selected', 'qsos', '1025', 'halomass', 'dependant', 'of', 'sightlines', 'have', 'narrow', 'line', 'widths', 'compatible', 'with', 'the', 'sole', 'co', 'detection', 'at', 'z6', 'j11485251', 'when', 'accounting', 'for', 'both', 'the', 'temporal', 'evolution', 'of', 'co', 'line', 'widths', 'as', 'well', 'as', 'the', 'redshift', 'evolution', 'of', 'halo', 'v_c', 'these', 'models', 'selfconsistently', 'account', 'for', 'the', 'co', 'line', 'widths', 'of', 'both', 'z2', 'submm', 'galaxies', 'and', 'qsos', 'finally', 'the', 'dynamical', 'mass', 'derived', 'from', 'the', 'sightline', 'averaged', 'line', 'widths', 'provides', 'a', 'good', 'estimate', 'of', 'the', 'total', 'mass', 'and', 'allows', 'for', 'a', 'stellar', 'bulge', 'and', 'smbh', 'consistent', 'with', 'the', 'local', 'm_bhm_bulge', 'relation', 'abridged']] | [-0.038422181729914316, 0.08398107359264519, 0.025947767439786946, 0.11170730574636943, -0.07352369114786098, -0.09730373796331368, 0.01759900131695707, 0.4985058822408384, -0.10517402949704441, -0.3148280791971098, 0.004128834154394547, -0.29676869748457224, 0.04629200122308504, 0.16234458254118989, 0.07857603778931252, -0.03488058425849066, 0.007233330317523698, -0.178017115510646, -0.05171100045122906, -0.24675664217883564, 0.33888359758740577, 0.05113439474084323, 0.1864611941642246, -0.026650320794199704, 0.05695579795766963, -0.12822311820665663, -0.08100030135156744, 0.013479087572768934, -0.1661169138047293, 0.004523143482158406, 0.26191450277939354, 0.11383034235758471, 0.2155347214109907, -0.30812965076692195, -0.19808108590766263, 0.06660621865770557, 0.24857501082924116, 0.09752978919062462, -0.02593900907282967, -0.2832217042770525, 0.054213850273632666, -0.15174055497113265, -0.16043061842243383, 0.1212720083938518, 0.03357683991829694, 0.05415383422653794, -0.19382465105998972, 0.20362975647095855, 0.0072448168212874186, 0.0711751525417076, -0.09321970050981511, -0.09976020872406005, -0.17486588682316925, 0.03718845676956616, 0.022050356955192064, 0.04379013142446843, 0.25132015757639825, -0.12535249220528885, -0.007942479444851339, 0.44996528009864384, -0.0744792248473792, 0.016306559061697146, 0.2096648211090852, -0.21925209237026497, -0.16887452015915597, 0.22053302618075232, 0.13915229535622287, 0.09907471765862437, -0.10085658095150893, -0.010605968591309493, -0.06583285981438346, 0.24301728378148407, 0.02456127752428612, 0.08016003662323527, 0.3807277682066803, 0.04302391707388894, 0.0333939712276538, 0.045588769129531546, -0.21927050397256684, -0.04696247956230187, -0.2219251260929167, -0.08043194814703204, -0.11148276861345487, 0.12637585202486354, -0.15114708340028507, -0.1255469092341717, 0.30016151084695797, 0.11163904567447518, 0.31990020504650907, 0.10660559665540834, 0.32014465537315734, 0.13313286462642948, 0.11737491691101369, 0.10539902142219534, 0.3013494382497632, 0.20075224538114, 0.06886386351322125, -0.24233542875822103, 0.07705781521262522, -0.006695076756828635] |
707.3142 | The Accretion Geometry in Radio-Loud Active Galaxies | We review the latest attempts to determine the accretion geometry in
radio-loud active galactic nuclei (AGN). These objects, which comprise ~10-20%
of the AGN population, produce powerful collimated radio jets that can extend
thousands of parsecs from the center of the host galaxy. Recent multiwavelength
surveys have shown that radio-loudness is more common in low-luminosity AGN
than in higher luminosity Seyfert galaxies or quasars. These low-luminosity AGN
have small enough accretion rates that they are most likely accreting via a
geometrically thick and radiatively inefficient accretion flow. In contrast,
X-ray spectroscopic observations of three higher luminosity broad-line radio
galaxies (3C 120, 4C+74.26 and PG 1425+267) have found evidence for an
untruncated thin disk extending very close to the black hole. These tentative
detections indicate that, for this class of radio-loud AGN, the accretion
geometry is very similar to their radio-quiet counterparts. These observations
suggest that there are three conditions to jet formation that must be
satisfied: the presence of a rapidly spinning black hole, an accretion flow
with a large H/r ratio, and a favorable magnetic field geometry.
| astro-ph | we review the latest attempts to determine the accretion geometry in radioloud active galactic nuclei agn these objects which comprise 1020 of the agn population produce powerful collimated radio jets that can extend thousands of parsecs from the center of the host galaxy recent multiwavelength surveys have shown that radioloudness is more common in lowluminosity agn than in higher luminosity seyfert galaxies or quasars these lowluminosity agn have small enough accretion rates that they are most likely accreting via a geometrically thick and radiatively inefficient accretion flow in contrast xray spectroscopic observations of three higher luminosity broadline radio galaxies 3c 120 4c7426 and pg 1425267 have found evidence for an untruncated thin disk extending very close to the black hole these tentative detections indicate that for this class of radioloud agn the accretion geometry is very similar to their radioquiet counterparts these observations suggest that there are three conditions to jet formation that must be satisfied the presence of a rapidly spinning black hole an accretion flow with a large hr ratio and a favorable magnetic field geometry | [['we', 'review', 'the', 'latest', 'attempts', 'to', 'determine', 'the', 'accretion', 'geometry', 'in', 'radioloud', 'active', 'galactic', 'nuclei', 'agn', 'these', 'objects', 'which', 'comprise', '1020', 'of', 'the', 'agn', 'population', 'produce', 'powerful', 'collimated', 'radio', 'jets', 'that', 'can', 'extend', 'thousands', 'of', 'parsecs', 'from', 'the', 'center', 'of', 'the', 'host', 'galaxy', 'recent', 'multiwavelength', 'surveys', 'have', 'shown', 'that', 'radioloudness', 'is', 'more', 'common', 'in', 'lowluminosity', 'agn', 'than', 'in', 'higher', 'luminosity', 'seyfert', 'galaxies', 'or', 'quasars', 'these', 'lowluminosity', 'agn', 'have', 'small', 'enough', 'accretion', 'rates', 'that', 'they', 'are', 'most', 'likely', 'accreting', 'via', 'a', 'geometrically', 'thick', 'and', 'radiatively', 'inefficient', 'accretion', 'flow', 'in', 'contrast', 'xray', 'spectroscopic', 'observations', 'of', 'three', 'higher', 'luminosity', 'broadline', 'radio', 'galaxies', '3c', '120', '4c7426', 'and', 'pg', '1425267', 'have', 'found', 'evidence', 'for', 'an', 'untruncated', 'thin', 'disk', 'extending', 'very', 'close', 'to', 'the', 'black', 'hole', 'these', 'tentative', 'detections', 'indicate', 'that', 'for', 'this', 'class', 'of', 'radioloud', 'agn', 'the', 'accretion', 'geometry', 'is', 'very', 'similar', 'to', 'their', 'radioquiet', 'counterparts', 'these', 'observations', 'suggest', 'that', 'there', 'are', 'three', 'conditions', 'to', 'jet', 'formation', 'that', 'must', 'be', 'satisfied', 'the', 'presence', 'of', 'a', 'rapidly', 'spinning', 'black', 'hole', 'an', 'accretion', 'flow', 'with', 'a', 'large', 'hr', 'ratio', 'and', 'a', 'favorable', 'magnetic', 'field', 'geometry']] | [-0.053073465809657494, 0.09863066627913007, -0.021016999463534962, 0.17544076402045491, -0.16497186605955375, -0.12480298772791011, 0.0048764852489907775, 0.48782922378030874, -0.08205287561075772, -0.32249381697321006, 0.08681487434446328, -0.303941099588775, 0.02865928100911364, 0.24508799601867162, -0.04408259969048457, -0.05516152765988609, 0.02007286399497656, -0.1700464821930996, -0.02678710865817101, -0.24936239252466771, 0.3070589120593185, 0.0998655724178705, 0.15199809072612874, -0.09829120629198723, 0.056114422623068094, -0.16305381966239146, -0.06015736963284218, -0.0011242027631250479, -0.1297531789108699, 0.041094359478750134, 0.3324748138755055, 0.12173275831076553, 0.22868726777705684, -0.37285340809405354, -0.22158930458504664, 0.06913456760115375, 0.22599160652555061, 0.03143432458381216, -0.12026710486959331, -0.22201311254300346, 0.08857680526581767, -0.266917724817423, -0.15502170495962525, 0.05061541478239042, 0.05194105714688467, 0.02655124445945698, -0.15517067878361065, 0.1306614809074981, 0.07024586836690357, 0.043957340052235595, -0.13680278164555587, -0.02263589251502338, -0.08567562710630608, 0.03129724860270271, 0.12671601927791865, 0.08533007138813872, 0.24138213264213948, -0.15446284356116616, -0.09074739904779583, 0.3727264586667725, 0.031180004063993034, 0.036977299773213214, 0.28715735708105533, -0.2738063993882177, -0.21559921319801675, 0.19419884863230635, 0.19101937215427978, 0.18608458836347203, -0.10286352293313307, -0.059712941129889216, -0.0896527436680271, 0.23871557117245124, -0.02657527755945921, 0.08577922854112464, 0.4057594971036759, 0.0774734914024942, 0.03628072993550976, 0.1094003576794534, -0.2190046355645909, -0.00573225793991722, -0.2234629717981706, -0.034985549729527894, -0.11515259425521507, 0.1934760534901719, -0.18367066742343588, -0.09177895554648528, 0.296228295110566, 0.06482116237682643, 0.2431141627494688, 0.02484335620882809, 0.2840081701360348, 0.039466015410499045, 0.11432191736270715, 0.21552238644937338, 0.4236669914460199, 0.16623017776462823, 0.07949578679322283, -0.22631033869739095, 0.06078035075225378, 0.015690657525917903] |
707.3143 | A parameterization of the Fermat curves satisfying x^(2N)+y^(2N)=1 | Note that the family of closed curves C_N={(x,y)\in R^2;x^(2N)+y^(2N)=1} for
N=1,2,3,... approaches the boundary of [-1,1]^2 as N \to \infty. In this paper
we exhibit a natural parameterization of these curves and generalize to a
larger class of equations.
| math.GM | note that the family of closed curves c_nxyin r2x2ny2n1 for n123 approaches the boundary of 112 as n to infty in this paper we exhibit a natural parameterization of these curves and generalize to a larger class of equations | [['note', 'that', 'the', 'family', 'of', 'closed', 'curves', 'c_nxyin', 'r2x2ny2n1', 'for', 'n123', 'approaches', 'the', 'boundary', 'of', '112', 'as', 'n', 'to', 'infty', 'in', 'this', 'paper', 'we', 'exhibit', 'a', 'natural', 'parameterization', 'of', 'these', 'curves', 'and', 'generalize', 'to', 'a', 'larger', 'class', 'of', 'equations']] | [-0.13164463875865615, 0.1084938292215402, -0.0830072382011929, 0.048564730573923805, -0.05347780047638996, -0.12442851212580462, 0.017991747282369918, 0.3158857407602104, -0.23527302250668808, -0.2873679140481997, 0.04399707804220049, -0.2817398864977263, -0.1748973042011966, 0.23613355418264464, -0.10917240929966038, 0.06825314552800076, 0.015080107703200868, 0.026216427518709284, -0.12442145849628425, -0.2534973641001695, 0.3681866205423265, -0.09500569286378654, 0.1956168828230049, 0.009494785288650845, 0.06925561805129857, -0.05360769571082012, 0.04109172340532815, 0.035764284834668446, -0.2245001333863616, 0.15298820587781234, 0.2692376634647214, 0.0980342611469127, 0.18428746424615383, -0.3741354273783194, -0.20177235149753256, 0.18357786845818563, 0.17037218688307582, 0.07829744107014425, 0.01850192852922388, -0.18134210001979326, 0.12177764216588961, -0.13225469664620185, -0.20981723873095737, -0.04541407641325448, 0.08300794630840018, 0.03991012617542937, -0.25554848180429357, 0.02047491556889302, 0.15628556441515684, 0.08640359606392481, -0.08535288441674532, -0.121529725984343, 0.024759592349968246, 0.05284830150068612, 0.060424246919668606, 0.05914839343293696, 0.0012120677133065623, -0.08894865314878926, -0.08242894845033014, 0.37128142215078697, -0.11322012513473227, -0.21474997140467167, 0.1599064425036714, -0.15350544613760872, -0.19527964666485786, 0.11663140915334225, 0.21376258397877618, 0.22091986203717218, -0.12407222047850892, 0.11385137227684813, -0.097987291072747, 0.0613447734960229, 0.09472880306074748, 0.03907242076270081, 0.09690650723673203, 0.091356251753766, 0.047985438660189915, 0.15986152769167078, -0.04449596889694599, -0.07555795732784916, -0.37379766356300664, -0.2119643359973624, -0.10521765063340599, 0.1159110936097096, -0.06829448690523104, -0.22146565024111722, 0.39152827254823735, 0.12003567824895317, 0.24839530935561335, 0.15286123906136365, 0.1788819641680331, 0.07805233971983497, 0.02007739880197757, 0.06102275230443558, 0.1542316610245286, 0.12321896981951352, 0.035283921714368706, -0.1634877775229413, -0.031129914317028346, 0.07147179007832263] |
707.3144 | The Distances to Open Clusters from Main-Sequence Fitting. IV. Galactic
Cepheids, the LMC, and the Local Distance Scale | We derive the basic properties of seven Galactic open clusters containing
Cepheids and construct their period-luminosity (P-L) relations. For our cluster
main-sequence fitting we extend previous Hyades-based empirical
color-temperature corrections to hotter stars using the Pleiades as a template.
We use BVI_{C}JHK_{s} data to test the reddening law, and include metallicity
effects to perform a more comprehensive study for our clusters than prior
efforts. The ratio of total to selective extinction R_V that we derive is
consistent with expectations. Assuming the LMC P-L slopes, we find <M_V> =
-3.93 +/- 0.07 (statistical) +/- 0.14 (systematic) for 10-day period Cepheids,
which is generally fainter than those in previous studies. Our results are
consistent with recent HST and Hipparcos parallax studies when using the
Wesenheit magnitudes W(VI). Uncertainties in reddening and metallicity are the
major remaining sources of error in the V-band P-L relation, but a higher
precision could be obtained with deeper optical and near-infrared cluster
photometry. We derive distances to NGC4258, the LMC, and M33 of (m - M)_0 =
29.28 +/- 0.10, 18.34 +/- 0.06, and 24.55 +/- 0.28, respectively, with an
additional systematic error of 0.16 mag in the P-L relations. The distance to
NGC4258 is in good agreement with the geometric distance derived from water
masers [\Delta (m - M)_0 = 0.01 +/- 0.24]; our value for M33 is less consistent
with the distance from an eclipsing binary [\Delta (m - M)_0 = 0.37 +/- 0.34];
our LMC distance is moderately shorter than the adopted distance in the HST Key
Project, which formally implies an increase in the Hubble constant of 7% +/-
8%.
| astro-ph | we derive the basic properties of seven galactic open clusters containing cepheids and construct their periodluminosity pl relations for our cluster mainsequence fitting we extend previous hyadesbased empirical colortemperature corrections to hotter stars using the pleiades as a template we use bvi_cjhk_s data to test the reddening law and include metallicity effects to perform a more comprehensive study for our clusters than prior efforts the ratio of total to selective extinction r_v that we derive is consistent with expectations assuming the lmc pl slopes we find m_v 393 007 statistical 014 systematic for 10day period cepheids which is generally fainter than those in previous studies our results are consistent with recent hst and hipparcos parallax studies when using the wesenheit magnitudes wvi uncertainties in reddening and metallicity are the major remaining sources of error in the vband pl relation but a higher precision could be obtained with deeper optical and nearinfrared cluster photometry we derive distances to ngc4258 the lmc and m33 of m m_0 2928 010 1834 006 and 2455 028 respectively with an additional systematic error of 016 mag in the pl relations the distance to ngc4258 is in good agreement with the geometric distance derived from water masers delta m m_0 001 024 our value for m33 is less consistent with the distance from an eclipsing binary delta m m_0 037 034 our lmc distance is moderately shorter than the adopted distance in the hst key project which formally implies an increase in the hubble constant of 7 8 | [['we', 'derive', 'the', 'basic', 'properties', 'of', 'seven', 'galactic', 'open', 'clusters', 'containing', 'cepheids', 'and', 'construct', 'their', 'periodluminosity', 'pl', 'relations', 'for', 'our', 'cluster', 'mainsequence', 'fitting', 'we', 'extend', 'previous', 'hyadesbased', 'empirical', 'colortemperature', 'corrections', 'to', 'hotter', 'stars', 'using', 'the', 'pleiades', 'as', 'a', 'template', 'we', 'use', 'bvi_cjhk_s', 'data', 'to', 'test', 'the', 'reddening', 'law', 'and', 'include', 'metallicity', 'effects', 'to', 'perform', 'a', 'more', 'comprehensive', 'study', 'for', 'our', 'clusters', 'than', 'prior', 'efforts', 'the', 'ratio', 'of', 'total', 'to', 'selective', 'extinction', 'r_v', 'that', 'we', 'derive', 'is', 'consistent', 'with', 'expectations', 'assuming', 'the', 'lmc', 'pl', 'slopes', 'we', 'find', 'm_v', '393', '007', 'statistical', '014', 'systematic', 'for', '10day', 'period', 'cepheids', 'which', 'is', 'generally', 'fainter', 'than', 'those', 'in', 'previous', 'studies', 'our', 'results', 'are', 'consistent', 'with', 'recent', 'hst', 'and', 'hipparcos', 'parallax', 'studies', 'when', 'using', 'the', 'wesenheit', 'magnitudes', 'wvi', 'uncertainties', 'in', 'reddening', 'and', 'metallicity', 'are', 'the', 'major', 'remaining', 'sources', 'of', 'error', 'in', 'the', 'vband', 'pl', 'relation', 'but', 'a', 'higher', 'precision', 'could', 'be', 'obtained', 'with', 'deeper', 'optical', 'and', 'nearinfrared', 'cluster', 'photometry', 'we', 'derive', 'distances', 'to', 'ngc4258', 'the', 'lmc', 'and', 'm33', 'of', 'm', 'm_0', '2928', '010', '1834', '006', 'and', '2455', '028', 'respectively', 'with', 'an', 'additional', 'systematic', 'error', 'of', '016', 'mag', 'in', 'the', 'pl', 'relations', 'the', 'distance', 'to', 'ngc4258', 'is', 'in', 'good', 'agreement', 'with', 'the', 'geometric', 'distance', 'derived', 'from', 'water', 'masers', 'delta', 'm', 'm_0', '001', '024', 'our', 'value', 'for', 'm33', 'is', 'less', 'consistent', 'with', 'the', 'distance', 'from', 'an', 'eclipsing', 'binary', 'delta', 'm', 'm_0', '037', '034', 'our', 'lmc', 'distance', 'is', 'moderately', 'shorter', 'than', 'the', 'adopted', 'distance', 'in', 'the', 'hst', 'key', 'project', 'which', 'formally', 'implies', 'an', 'increase', 'in', 'the', 'hubble', 'constant', 'of', '7', '8']] | [-0.04103905138658756, 0.07348049969671165, -0.10828673994041471, 0.08839927788264676, -0.09435135796834457, -0.09260709340315701, 0.12512710767360516, 0.4468471050228789, -0.17836574713295572, -0.3737818210340857, 0.01483651555711815, -0.33936934512721967, -0.005807265831109877, 0.25021320033863365, -0.12836999699368654, -0.0038767788282419785, 0.08103792389522141, -0.08500232606243537, -0.09664760006827314, -0.2856480068210176, 0.22934186685246877, 0.01874793211421761, 0.16464829180449486, -0.08652341932415529, 0.002131461579610695, -0.08033533349640698, -0.09446001274524776, -0.01596141443681346, -0.24087534835445812, 0.109692886816319, 0.19456610745604497, 0.06525289377451961, 0.18817727007233653, -0.2627939444977835, -0.16123127836704135, 0.06391321460578037, 0.1724105364938517, 0.017761622792942987, -0.009704672685465737, -0.24554857052582124, 0.07661041123493309, -0.1485773512727046, -0.17504527105717924, 0.08370638026268666, 0.11846038671846251, 0.006517316360610077, -0.24244195637648483, 0.1931762408673666, -0.0337413841125417, 0.16338656040798707, -0.12535186236103377, -0.220099593826895, -0.05471416280780691, 0.09196953737070825, -0.000472652536057624, 0.15845103614896267, 0.09878751855758748, -0.054146200511978576, -0.014085785620453128, 0.4055519264236272, -0.09617716355437934, -0.013169952518639555, 0.15522554389951024, -0.1746939930468274, -0.15884632746460867, 0.06732271170153854, 0.11300800921279473, 0.10331442270369617, -0.21855219635472167, 0.019320184191226976, 0.017324052569662112, 0.2645593108211917, 0.036745394110664666, 0.08413230973348114, 0.23808047753089223, 0.11170336370960432, 0.04876312788250486, 0.04426086261301829, -0.25299244226203355, -0.050205219318215026, -0.2604178877315488, -0.08127257950514195, -0.09540513420737456, 0.11511245013465245, -0.2308188476446052, -0.09237924287489327, 0.24568352209456473, 0.12895071186194473, 0.2328271927633678, 0.13562465863055492, 0.2910561373375027, 0.084391983484019, 0.12494819883770734, 0.12528078248593433, 0.3621613719092914, 0.1945522202956808, 0.0469688388844391, -0.20488578352112188, 0.0648767899232823, -0.002246013840769855] |
707.3145 | Muon production in low-energy electron-nucleon and electron-nucleus
scattering | Recently, muon production in electron-proton scattering has been suggested as
a possible candidate reaction for the identification of lepton-flavor violation
due to physics beyond the Standard Model. Here we point out that the
Standard-Model processes $e^- p \to \mu^- p \bar{\nu}_\mu \nu_e$ and $e^- p \to
e^- n \mu^+ \nu_\mu$ can cloud potential beyond-the-Standard-Model signals in
electron-proton collisions. We find that Standard-Model $e p \to \mu X$ cross
sections exceed those from lepton-flavor-violating operators by several orders
of magnitude. We also discuss the possibility of using a nuclear target to
enhance the $e p \to \mu X$ signal.
| hep-ph nucl-ex nucl-th | recently muon production in electronproton scattering has been suggested as a possible candidate reaction for the identification of leptonflavor violation due to physics beyond the standard model here we point out that the standardmodel processes e p to mu p barnu_mu nu_e and e p to e n mu nu_mu can cloud potential beyondthestandardmodel signals in electronproton collisions we find that standardmodel e p to mu x cross sections exceed those from leptonflavorviolating operators by several orders of magnitude we also discuss the possibility of using a nuclear target to enhance the e p to mu x signal | [['recently', 'muon', 'production', 'in', 'electronproton', 'scattering', 'has', 'been', 'suggested', 'as', 'a', 'possible', 'candidate', 'reaction', 'for', 'the', 'identification', 'of', 'leptonflavor', 'violation', 'due', 'to', 'physics', 'beyond', 'the', 'standard', 'model', 'here', 'we', 'point', 'out', 'that', 'the', 'standardmodel', 'processes', 'e', 'p', 'to', 'mu', 'p', 'barnu_mu', 'nu_e', 'and', 'e', 'p', 'to', 'e', 'n', 'mu', 'nu_mu', 'can', 'cloud', 'potential', 'beyondthestandardmodel', 'signals', 'in', 'electronproton', 'collisions', 'we', 'find', 'that', 'standardmodel', 'e', 'p', 'to', 'mu', 'x', 'cross', 'sections', 'exceed', 'those', 'from', 'leptonflavorviolating', 'operators', 'by', 'several', 'orders', 'of', 'magnitude', 'we', 'also', 'discuss', 'the', 'possibility', 'of', 'using', 'a', 'nuclear', 'target', 'to', 'enhance', 'the', 'e', 'p', 'to', 'mu', 'x', 'signal']] | [-0.0918023535383067, 0.19594336671716706, -0.05149956412253455, 0.11052439128029712, -0.03331680702549234, -0.13742054171137968, 0.1139088156823145, 0.28521140261401173, -0.263411325602127, -0.26884250624143347, -0.10862916567106257, -0.3653942739533983, -0.013326473878601528, 0.147540449228955, 0.060524079934408774, 0.12581892066982062, 0.016794323503058785, 0.04441505699532525, -0.01767903918516822, -0.20154638677284273, 0.23004144508087512, 0.1033310901411638, 0.19037994238243874, 0.10898336356657805, 0.018438332124936337, 0.017310365069923655, -0.0548976806951069, -0.08051172781697645, -0.15753057554476463, 0.04073615516423086, 0.27001919506393296, 0.11176892925215391, 0.09734210322554014, -0.37014127397263535, -0.1631796389286007, 0.27331497599560844, 0.11199441780716334, -0.0033961339207480147, -0.021001949283883582, -0.3207168373070201, 0.13503857136808564, -0.21282497829548558, -0.10926737937106921, -0.07854309715140535, 0.1707784661913899, -0.04014530078964118, -0.39759346482591057, 0.032407453371276033, 0.02164121582267844, 0.003204554488065139, 0.0019786916601908754, -0.25320188532944543, -0.010698523847576307, -0.04136284765768416, 0.1358519520839838, 0.09975847709426247, 0.19249854908723915, -0.08954543902714528, -0.21071636662058227, 0.41333901456424166, -0.09661578676397246, -0.16091025903659437, 0.18195933708208328, -0.25939051917164907, -0.10926070581285321, 0.18415514407774472, 0.23181011966353623, 0.06966194485276177, -0.18908045530243187, 0.2292994125645218, -0.013474027037903267, 0.09449923294982446, 0.10926865598624003, 0.02213133327016721, 0.17813944960564224, 0.17498908286952242, 0.0651023051207315, -0.01653617081631507, -0.1776542997020962, 0.03482346525071284, -0.40221705997769, -0.11986523887560684, -0.04794134613012477, 0.16100168195897618, 0.014928318028087605, -0.008203090520157498, 0.2720377423695992, 0.1192760100179561, 0.2625896188392475, -0.07006699848939113, 0.26887292906223814, 0.0729728516996648, 0.03889460641206527, -0.014128262923118107, 0.2674469653498001, 0.15020913002793962, 0.0805532190597103, -0.24436983961982614, 0.03253576154250423, 0.019162663843064587] |
707.3146 | Detecting Early Galaxies Through Their 21-cm Signature | New observations over the next few years of the emission of distant objects
will help unfold the chapter in cosmic history around the era of the first
galaxies. These observations will use the neutral hydrogen emission or
absorption at a wavelength of 21-cm as a detector of the hydrogen abundance. We
predict the signature on the 21-cm signal of the early generations of galaxies.
We calculate the 21-cm power spectrum including two physical effects that were
neglected in previous calculations. The first is the redistribution of the UV
photons from the first galaxies due to their scattering off of the neutral
hydrogen, which results in an enhancement of the 21-cm signal. The second is
the presence of an ionized hydrogen bubble near each source, which produces a
cutoff at observable scales. We show that the resulting clear signature in the
21-cm power spectrum can be used to detect and study the population of galaxies
that formed just 200 million years after the Big Bang.
| astro-ph | new observations over the next few years of the emission of distant objects will help unfold the chapter in cosmic history around the era of the first galaxies these observations will use the neutral hydrogen emission or absorption at a wavelength of 21cm as a detector of the hydrogen abundance we predict the signature on the 21cm signal of the early generations of galaxies we calculate the 21cm power spectrum including two physical effects that were neglected in previous calculations the first is the redistribution of the uv photons from the first galaxies due to their scattering off of the neutral hydrogen which results in an enhancement of the 21cm signal the second is the presence of an ionized hydrogen bubble near each source which produces a cutoff at observable scales we show that the resulting clear signature in the 21cm power spectrum can be used to detect and study the population of galaxies that formed just 200 million years after the big bang | [['new', 'observations', 'over', 'the', 'next', 'few', 'years', 'of', 'the', 'emission', 'of', 'distant', 'objects', 'will', 'help', 'unfold', 'the', 'chapter', 'in', 'cosmic', 'history', 'around', 'the', 'era', 'of', 'the', 'first', 'galaxies', 'these', 'observations', 'will', 'use', 'the', 'neutral', 'hydrogen', 'emission', 'or', 'absorption', 'at', 'a', 'wavelength', 'of', '21cm', 'as', 'a', 'detector', 'of', 'the', 'hydrogen', 'abundance', 'we', 'predict', 'the', 'signature', 'on', 'the', '21cm', 'signal', 'of', 'the', 'early', 'generations', 'of', 'galaxies', 'we', 'calculate', 'the', '21cm', 'power', 'spectrum', 'including', 'two', 'physical', 'effects', 'that', 'were', 'neglected', 'in', 'previous', 'calculations', 'the', 'first', 'is', 'the', 'redistribution', 'of', 'the', 'uv', 'photons', 'from', 'the', 'first', 'galaxies', 'due', 'to', 'their', 'scattering', 'off', 'of', 'the', 'neutral', 'hydrogen', 'which', 'results', 'in', 'an', 'enhancement', 'of', 'the', '21cm', 'signal', 'the', 'second', 'is', 'the', 'presence', 'of', 'an', 'ionized', 'hydrogen', 'bubble', 'near', 'each', 'source', 'which', 'produces', 'a', 'cutoff', 'at', 'observable', 'scales', 'we', 'show', 'that', 'the', 'resulting', 'clear', 'signature', 'in', 'the', '21cm', 'power', 'spectrum', 'can', 'be', 'used', 'to', 'detect', 'and', 'study', 'the', 'population', 'of', 'galaxies', 'that', 'formed', 'just', '200', 'million', 'years', 'after', 'the', 'big', 'bang']] | [-0.06475017841769774, 0.10683668278056202, -0.0547577434719154, 0.05897009341619772, -0.02756448163687842, -0.026554141440655946, 0.00792074168992524, 0.38236145736513344, -0.22174969294641547, -0.299192087804308, 0.06887693087877024, -0.3442777169345901, -0.052997838338076066, 0.16348678252813065, 0.05452771755162536, -0.04504683162099909, 0.027424969153887615, -0.022817648569598975, -0.029191598114443988, -0.24955467488290173, 0.3254666924249472, 0.14961190971193788, 0.19517738194341158, 0.03781646360336553, 0.05683765934763204, -0.0849335590155977, -0.10729029309856365, -0.03797824161763235, -0.09936479332202175, 0.08154174657439155, 0.23161951043620344, 0.15482960191907408, 0.22337735145886586, -0.4312965697637282, -0.23148885363622046, 0.1337840697960928, 0.17454362140468707, 0.14154199509535031, -0.06948212412166091, -0.2875081590240503, 0.03391495161894255, -0.16262687561272576, -0.1331483331997311, 0.047938161334392, 0.012689394050096049, -0.011799119905534587, -0.1914256868391332, 0.08867743848425495, 0.007716538337706701, 0.03761309266856853, -0.051840151061031334, -0.05923706549290772, -0.035292744734494876, 0.11176578082263515, 0.022381051775726784, -0.005693082842498836, 0.210234805558263, -0.14959553468024087, -0.05627097723233264, 0.41792892873650644, -0.15469974688844892, 0.04385147330623756, 0.17568393845520006, -0.2262123984954797, -0.17695325237085544, 0.20123447075190887, 0.182095738149833, 0.09583966115421456, -0.12795643228469644, 0.0194393340125538, -0.01506262600688809, 0.22282812927094311, 0.08755023405523743, 0.06485821773715476, 0.32139768408861286, 0.11819423792071686, 0.04189592269930716, 0.08090962921077578, -0.2108169716325725, -0.01301191196345338, -0.2868694662801118, -0.13327603396482585, -0.14924224436555694, 0.09357267598303534, -0.07398290677475615, -0.1156731996083314, 0.42001804833800144, 0.15548281090635033, 0.23888301291707448, 0.024366502830383892, 0.34035131811141606, 0.10062220327984882, 0.07955112722389991, 0.0324569737436477, 0.3156119879837738, 0.12634929034734008, 0.12036599144382153, -0.2192592495520352, 0.06721363202157635, -0.029677043859165433] |
707.3147 | A Model of Turbulence in Magnetized Plasmas: Implications for the
Dissipation Range in the Solar Wind | This paper studies the turbulent cascade of magnetic energy in weakly
collisional magnetized plasmas. A cascade model is presented, based on the
assumptions of local nonlinear energy transfer in wavenumber space, critical
balance between linear propagation and nonlinear interaction times, and the
applicability of linear dissipation rates for the nonlinearly turbulent plasma.
The model follows the nonlinear cascade of energy from the driving scale in the
MHD regime, through the transition at the ion Larmor radius into the kinetic
Alfven wave regime, in which the turbulence is dissipated by kinetic processes.
The turbulent fluctuations remain at frequencies below the ion cyclotron
frequency due to the strong anisotropy of the turbulent fluctuations,
k_parallel << k_perp (implied by critical balance). In this limit, the
turbulence is optimally described by gyrokinetics; it is shown that the
gyrokinetic approximation is well satisfied for typical slow solar wind
parameters. Wave phase velocity measurements are consistent with a kinetic
Alfven wave cascade and not the onset of ion cyclotron damping. The conditions
under which the gyrokinetic cascade reaches the ion cyclotron frequency are
established. Cascade model solutions imply that collisionless damping provides
a natural explanation for the observed range of spectral indices in the
dissipation range of the solar wind. The dissipation range spectrum is
predicted to be an exponential fall off; the power-law behavior apparent in
observations may be an artifact of limited instrumental sensitivity. The
cascade model is motivated by a programme of gyrokinetic simulations of
turbulence and particle heating in the solar wind.
| astro-ph | this paper studies the turbulent cascade of magnetic energy in weakly collisional magnetized plasmas a cascade model is presented based on the assumptions of local nonlinear energy transfer in wavenumber space critical balance between linear propagation and nonlinear interaction times and the applicability of linear dissipation rates for the nonlinearly turbulent plasma the model follows the nonlinear cascade of energy from the driving scale in the mhd regime through the transition at the ion larmor radius into the kinetic alfven wave regime in which the turbulence is dissipated by kinetic processes the turbulent fluctuations remain at frequencies below the ion cyclotron frequency due to the strong anisotropy of the turbulent fluctuations k_parallel k_perp implied by critical balance in this limit the turbulence is optimally described by gyrokinetics it is shown that the gyrokinetic approximation is well satisfied for typical slow solar wind parameters wave phase velocity measurements are consistent with a kinetic alfven wave cascade and not the onset of ion cyclotron damping the conditions under which the gyrokinetic cascade reaches the ion cyclotron frequency are established cascade model solutions imply that collisionless damping provides a natural explanation for the observed range of spectral indices in the dissipation range of the solar wind the dissipation range spectrum is predicted to be an exponential fall off the powerlaw behavior apparent in observations may be an artifact of limited instrumental sensitivity the cascade model is motivated by a programme of gyrokinetic simulations of turbulence and particle heating in the solar wind | [['this', 'paper', 'studies', 'the', 'turbulent', 'cascade', 'of', 'magnetic', 'energy', 'in', 'weakly', 'collisional', 'magnetized', 'plasmas', 'a', 'cascade', 'model', 'is', 'presented', 'based', 'on', 'the', 'assumptions', 'of', 'local', 'nonlinear', 'energy', 'transfer', 'in', 'wavenumber', 'space', 'critical', 'balance', 'between', 'linear', 'propagation', 'and', 'nonlinear', 'interaction', 'times', 'and', 'the', 'applicability', 'of', 'linear', 'dissipation', 'rates', 'for', 'the', 'nonlinearly', 'turbulent', 'plasma', 'the', 'model', 'follows', 'the', 'nonlinear', 'cascade', 'of', 'energy', 'from', 'the', 'driving', 'scale', 'in', 'the', 'mhd', 'regime', 'through', 'the', 'transition', 'at', 'the', 'ion', 'larmor', 'radius', 'into', 'the', 'kinetic', 'alfven', 'wave', 'regime', 'in', 'which', 'the', 'turbulence', 'is', 'dissipated', 'by', 'kinetic', 'processes', 'the', 'turbulent', 'fluctuations', 'remain', 'at', 'frequencies', 'below', 'the', 'ion', 'cyclotron', 'frequency', 'due', 'to', 'the', 'strong', 'anisotropy', 'of', 'the', 'turbulent', 'fluctuations', 'k_parallel', 'k_perp', 'implied', 'by', 'critical', 'balance', 'in', 'this', 'limit', 'the', 'turbulence', 'is', 'optimally', 'described', 'by', 'gyrokinetics', 'it', 'is', 'shown', 'that', 'the', 'gyrokinetic', 'approximation', 'is', 'well', 'satisfied', 'for', 'typical', 'slow', 'solar', 'wind', 'parameters', 'wave', 'phase', 'velocity', 'measurements', 'are', 'consistent', 'with', 'a', 'kinetic', 'alfven', 'wave', 'cascade', 'and', 'not', 'the', 'onset', 'of', 'ion', 'cyclotron', 'damping', 'the', 'conditions', 'under', 'which', 'the', 'gyrokinetic', 'cascade', 'reaches', 'the', 'ion', 'cyclotron', 'frequency', 'are', 'established', 'cascade', 'model', 'solutions', 'imply', 'that', 'collisionless', 'damping', 'provides', 'a', 'natural', 'explanation', 'for', 'the', 'observed', 'range', 'of', 'spectral', 'indices', 'in', 'the', 'dissipation', 'range', 'of', 'the', 'solar', 'wind', 'the', 'dissipation', 'range', 'spectrum', 'is', 'predicted', 'to', 'be', 'an', 'exponential', 'fall', 'off', 'the', 'powerlaw', 'behavior', 'apparent', 'in', 'observations', 'may', 'be', 'an', 'artifact', 'of', 'limited', 'instrumental', 'sensitivity', 'the', 'cascade', 'model', 'is', 'motivated', 'by', 'a', 'programme', 'of', 'gyrokinetic', 'simulations', 'of', 'turbulence', 'and', 'particle', 'heating', 'in', 'the', 'solar', 'wind']] | [-0.16126200186236422, 0.25584212919600385, -0.039009352134219015, 0.10578907664676372, -0.025963456581260664, -0.0690055276317724, -0.05304158946646968, 0.29625488567843017, -0.2813201209073924, -0.2970428764820099, 0.03757490888359511, -0.2290979125293862, -0.026646613738084413, 0.24494916385990645, 0.05646307019322332, 0.07525068961914225, 0.04948775420511463, -0.04630378705176364, 0.019491515551080335, -0.08283572489896932, 0.29965356762154427, 0.19381036248102965, 0.2887221752211496, 0.03634390106726715, 0.09127083601314111, -0.11200274939716132, 0.017698195745166106, 0.0049693546496120365, -0.1533937510397532, 0.0036191091738102667, 0.2041557020786869, 0.029827220800209296, 0.2766046452983077, -0.4481580229116095, -0.30212600519340654, 0.010773398224301785, 0.1846248300177565, 0.07285007959639421, -0.0024721647850490256, -0.20386791446182623, 0.0057443345029161395, -0.16973783688842511, -0.1234600820567414, 0.003330935007821484, 0.025260927840079887, 0.067591876183341, -0.3361116319868609, 0.16785155940472699, 0.10199848317726325, 0.07470380201614106, -0.0982670420677921, -0.03862176853677175, -0.05401752803972118, 0.0135239995010833, 0.11062827866513238, 0.014353053135566889, 0.1997106912974586, -0.13775349592782526, -0.021865849360733866, 0.3975782696920705, -0.07558976263780312, -0.15740833390433057, 0.18476544339752132, -0.21513717289465614, -0.050484868503329026, 0.2249094013042419, 0.1639498038903294, 0.04407919784184979, -0.11323198044661388, 0.05912564309918996, -0.016680091375732387, 0.16111302131116736, 0.05216103257147603, 0.017927342128143252, 0.23182038421346152, 0.20223546709610996, 0.026514566170582808, 0.08143825991706638, -0.12201321322328774, -0.08852927550583718, -0.31013842211684667, -0.0638218276416808, -0.17788822848343264, 0.04679546888553478, -0.07542657006852681, -0.14776685629654807, 0.4085849373840753, 0.1920109144603669, 0.14985308783076495, 0.011028776578343358, 0.3010340587639934, 0.22842680108144386, 0.0119402110894551, 0.1427596525975396, 0.33615023317563547, 0.1885627328444377, 0.1764323779785759, -0.3069562445306799, 0.02906887812435208, 0.06470084779084208] |
707.3148 | Decaying Dark Energy in Higher-Dimensional Gravity | We use data from observational cosmology to put constraints on
higher-dimensional extensions of general relativity in which the effective
four-dimensional dark-energy density (or cosmological "constant") decays with
time. In particular we study the implications of this decaying dark energy for
the age of the universe, large-scale structure formation, big-bang
nucleosynthesis and the magnitude-redshift relation for Type Ia supernovae. Two
of these tests (age and the magnitude-redshift relation) place modest lower
limits on the free parameter of the theory, a cosmological length scale L akin
to the de Sitter radius. These limits will improve if experimental
uncertainties on supernova magnitudes can be reduced around z=1.
| astro-ph | we use data from observational cosmology to put constraints on higherdimensional extensions of general relativity in which the effective fourdimensional darkenergy density or cosmological constant decays with time in particular we study the implications of this decaying dark energy for the age of the universe largescale structure formation bigbang nucleosynthesis and the magnituderedshift relation for type ia supernovae two of these tests age and the magnituderedshift relation place modest lower limits on the free parameter of the theory a cosmological length scale l akin to the de sitter radius these limits will improve if experimental uncertainties on supernova magnitudes can be reduced around z1 | [['we', 'use', 'data', 'from', 'observational', 'cosmology', 'to', 'put', 'constraints', 'on', 'higherdimensional', 'extensions', 'of', 'general', 'relativity', 'in', 'which', 'the', 'effective', 'fourdimensional', 'darkenergy', 'density', 'or', 'cosmological', 'constant', 'decays', 'with', 'time', 'in', 'particular', 'we', 'study', 'the', 'implications', 'of', 'this', 'decaying', 'dark', 'energy', 'for', 'the', 'age', 'of', 'the', 'universe', 'largescale', 'structure', 'formation', 'bigbang', 'nucleosynthesis', 'and', 'the', 'magnituderedshift', 'relation', 'for', 'type', 'ia', 'supernovae', 'two', 'of', 'these', 'tests', 'age', 'and', 'the', 'magnituderedshift', 'relation', 'place', 'modest', 'lower', 'limits', 'on', 'the', 'free', 'parameter', 'of', 'the', 'theory', 'a', 'cosmological', 'length', 'scale', 'l', 'akin', 'to', 'the', 'de', 'sitter', 'radius', 'these', 'limits', 'will', 'improve', 'if', 'experimental', 'uncertainties', 'on', 'supernova', 'magnitudes', 'can', 'be', 'reduced', 'around', 'z1']] | [-0.0843582793425482, 0.14306761709471735, -0.0947866657605538, 0.17941860734964182, -0.1628560421343606, -0.09257181583178373, 0.028011496975803032, 0.29006214445689693, -0.21716059453319758, -0.3098762846874216, 0.07986228161406381, -0.25493059050495503, -0.0048890722660312, 0.22200852456780223, -0.0040568072156999665, -0.006278606006302512, 0.05415358996609799, 0.007495100515930412, -0.10819261808557293, -0.30707436415384737, 0.3596103896897358, 0.11739915921442354, 0.23370359462849313, -0.013698056156639583, 0.027024400417128794, -0.08959144530280565, -0.07332010581964053, 0.01555999588722793, -0.27435542048008826, 0.06256213573998629, 0.17988593699682007, 0.17682752094249457, 0.20245199803209218, -0.41953726775514394, -0.23831860805428454, 0.16813813622754353, 0.17386593171753562, 0.1316785872958672, -0.06265993890701793, -0.30289181031716556, 0.036410616361536086, -0.18812973818365628, -0.1180883286802922, 0.04669040995829094, 0.016411459311851874, -0.03006347407846568, -0.2032178295669907, 0.16803804677860731, -0.040499030030332506, -0.006158547305788558, -0.09929595465655439, -0.09230293243756303, -0.004490235981603081, 0.03836680501206921, 0.10020083778251249, -0.00043021894480961445, 0.12080538691505073, -0.13463877609599598, -0.048673726797390446, 0.40127697266423357, -0.10678006608157795, -0.09862017190943544, 0.15829268516077158, -0.17660007204932088, -0.18888727799863914, 0.014266750593938364, 0.1737962446282976, 0.05109813601638262, -0.11251023208975451, 0.17462455473119357, 0.04891337549913889, 0.1800569795931761, 0.08350598080477749, 0.06102353720087614, 0.3066300463128405, 0.16050878944560493, 0.036189973687914274, -0.009556239668969423, -0.09061810119265619, -0.060698591851038285, -0.3785249778571037, -0.10767315020068334, -0.09622030563276404, 0.11924710581437327, -0.2208147814064712, -0.15091292781737417, 0.31425377304773205, 0.12998604503585598, 0.1923231675128381, 0.0813878413789028, 0.2776947628455953, 0.06213700916403188, 0.04505018359542681, 0.05680120563528572, 0.3192369655455248, 0.15474591262822146, 0.09108110905463736, -0.2518898516853089, 0.020073572133417025, 0.062388986037918724] |
707.3149 | Dissipation-Scale Turbulence in the Solar Wind | We present a cascade model for turbulence in weakly collisional plasmas that
follows the nonlinear cascade of energy from the large scales of driving in the
MHD regime to the small scales of the kinetic Alfven wave regime where the
turbulence is dissipated by kinetic processes. Steady-state solutions of the
model for the slow solar wind yield three conclusions: (1) beyond the observed
break in the magnetic energy spectrum, one expects an exponential cut-off; (2)
the widely held interpretation that this dissipation range obeys power-law
behavior is an artifact of instrumental sensitivity limitations; and, (3) over
the range of parameters relevant to the solar wind, the observed variation of
dissipation range spectral indices from -2 to -4 is naturally explained by the
varying effectiveness of Landau damping, from an undamped prediction of -7/3 to
a strongly damped index around -4.
| astro-ph | we present a cascade model for turbulence in weakly collisional plasmas that follows the nonlinear cascade of energy from the large scales of driving in the mhd regime to the small scales of the kinetic alfven wave regime where the turbulence is dissipated by kinetic processes steadystate solutions of the model for the slow solar wind yield three conclusions 1 beyond the observed break in the magnetic energy spectrum one expects an exponential cutoff 2 the widely held interpretation that this dissipation range obeys powerlaw behavior is an artifact of instrumental sensitivity limitations and 3 over the range of parameters relevant to the solar wind the observed variation of dissipation range spectral indices from 2 to 4 is naturally explained by the varying effectiveness of landau damping from an undamped prediction of 73 to a strongly damped index around 4 | [['we', 'present', 'a', 'cascade', 'model', 'for', 'turbulence', 'in', 'weakly', 'collisional', 'plasmas', 'that', 'follows', 'the', 'nonlinear', 'cascade', 'of', 'energy', 'from', 'the', 'large', 'scales', 'of', 'driving', 'in', 'the', 'mhd', 'regime', 'to', 'the', 'small', 'scales', 'of', 'the', 'kinetic', 'alfven', 'wave', 'regime', 'where', 'the', 'turbulence', 'is', 'dissipated', 'by', 'kinetic', 'processes', 'steadystate', 'solutions', 'of', 'the', 'model', 'for', 'the', 'slow', 'solar', 'wind', 'yield', 'three', 'conclusions', '1', 'beyond', 'the', 'observed', 'break', 'in', 'the', 'magnetic', 'energy', 'spectrum', 'one', 'expects', 'an', 'exponential', 'cutoff', '2', 'the', 'widely', 'held', 'interpretation', 'that', 'this', 'dissipation', 'range', 'obeys', 'powerlaw', 'behavior', 'is', 'an', 'artifact', 'of', 'instrumental', 'sensitivity', 'limitations', 'and', '3', 'over', 'the', 'range', 'of', 'parameters', 'relevant', 'to', 'the', 'solar', 'wind', 'the', 'observed', 'variation', 'of', 'dissipation', 'range', 'spectral', 'indices', 'from', '2', 'to', '4', 'is', 'naturally', 'explained', 'by', 'the', 'varying', 'effectiveness', 'of', 'landau', 'damping', 'from', 'an', 'undamped', 'prediction', 'of', '73', 'to', 'a', 'strongly', 'damped', 'index', 'around', '4']] | [-0.13236110831743905, 0.21229475610172294, -0.038546298559023334, 0.10588497170579753, -0.012378892849665136, -0.08615922025804008, -0.027346094390044786, 0.2793263976470501, -0.29402184454125485, -0.35455155105197006, 0.04516134560731838, -0.2423903416443084, -0.06370984751598112, 0.2396477239867506, 0.013654469718624438, 0.03637602876073548, 0.0061958536405914595, -0.036176615387999586, 0.015573449343043779, -0.12118540741170623, 0.3014965219955359, 0.12692713268500352, 0.25181684929411857, 0.024261852367115873, 0.08541502490739471, -0.07875453007540532, 0.013616317522246391, -0.0031355533083634716, -0.13368417584788403, 0.03729167011832552, 0.18233060675806234, 0.059969856084457464, 0.2762011554757399, -0.4059802705022906, -0.28674100379991746, 0.029290404727882042, 0.1928089740237088, 0.04763151897849249, 0.02379942730518191, -0.1827124802495486, 0.031025477332462158, -0.18830060227774084, -0.14945646309892513, 0.013213854086851435, 0.0548380581928151, 0.043702542814259816, -0.30970199938331333, 0.15428921868733597, 0.08552010567592723, 0.06564517345479025, -0.09511258802542995, -0.07459086623109346, -0.030901304160111717, 0.06766158878537161, 0.11068448693133957, -0.004793825059667662, 0.16885397301521152, -0.16424177635760445, -0.05938273861206004, 0.39233926756174436, -0.11105752229590767, -0.1275268457297768, 0.21127695822090442, -0.20596314379945396, -0.09045093599374272, 0.22927794462219545, 0.14843811124363648, 0.04486567765873458, -0.10399474301042834, 0.05888603448194252, 0.0020424365383015747, 0.21166126469948462, 0.0433788455773278, 0.017702289035410754, 0.2010750157725332, 0.18643911216474537, 0.018755350627803376, 0.08488654632695086, -0.1389669958934454, -0.0834897169776793, -0.31626103621508395, -0.057032783962287274, -0.17550229389287, 0.07644695304365347, -0.11461433882847943, -0.15318683274589212, 0.43007360498221325, 0.196299601994854, 0.17858701098843344, 0.039399061225620764, 0.2607328852172941, 0.19543457666046118, 0.01929558546149305, 0.11492716301431107, 0.3132961018343589, 0.12972509895251796, 0.15815381079695986, -0.24970119375835306, -0.007424662704579532, 0.017282492730633488] |
707.315 | Angular distribution of leptons from the decay of massive vector bosons | We examine the transverse momentum $Q_\perp$ dependence of the helicity
structure functions for massive vector bosons of mass $Q$ in hadron reactions.
We demonstrate that large logarithmic terms of the form $\ln(Q/Q_\perp)$ in the
helicity structure functions have the same origin as the logarithmic terms in
the angular-integrated cross section and that they can be resummed to all
orders in the strong coupling $\alpha_s$, in the same way as the
angular-integrated cross section. As a consequence of current conservation, the
resummed part of the helicity structure functions preserves the Lam-Tung
relation as a function of $Q_\perp$ to all orders in $\alpha_s$.
| hep-ph nucl-th | we examine the transverse momentum q_perp dependence of the helicity structure functions for massive vector bosons of mass q in hadron reactions we demonstrate that large logarithmic terms of the form lnqq_perp in the helicity structure functions have the same origin as the logarithmic terms in the angularintegrated cross section and that they can be resummed to all orders in the strong coupling alpha_s in the same way as the angularintegrated cross section as a consequence of current conservation the resummed part of the helicity structure functions preserves the lamtung relation as a function of q_perp to all orders in alpha_s | [['we', 'examine', 'the', 'transverse', 'momentum', 'q_perp', 'dependence', 'of', 'the', 'helicity', 'structure', 'functions', 'for', 'massive', 'vector', 'bosons', 'of', 'mass', 'q', 'in', 'hadron', 'reactions', 'we', 'demonstrate', 'that', 'large', 'logarithmic', 'terms', 'of', 'the', 'form', 'lnqq_perp', 'in', 'the', 'helicity', 'structure', 'functions', 'have', 'the', 'same', 'origin', 'as', 'the', 'logarithmic', 'terms', 'in', 'the', 'angularintegrated', 'cross', 'section', 'and', 'that', 'they', 'can', 'be', 'resummed', 'to', 'all', 'orders', 'in', 'the', 'strong', 'coupling', 'alpha_s', 'in', 'the', 'same', 'way', 'as', 'the', 'angularintegrated', 'cross', 'section', 'as', 'a', 'consequence', 'of', 'current', 'conservation', 'the', 'resummed', 'part', 'of', 'the', 'helicity', 'structure', 'functions', 'preserves', 'the', 'lamtung', 'relation', 'as', 'a', 'function', 'of', 'q_perp', 'to', 'all', 'orders', 'in', 'alpha_s']] | [-0.1525296027585864, 0.16292728948406876, -0.08242812251672149, 0.14484299620613456, -0.02034436403773725, 0.025361789476592095, -0.029005357005517, 0.3137289352528751, -0.2518127750232816, -0.25764587910845876, -0.040453113957773894, -0.2904100201278925, -0.0572147704847157, 0.1426059485692531, 0.07793797778896988, 0.07461082745809108, 0.0051094358018599455, 0.010881504309363663, -0.08573719676700421, -0.22721709153614938, 0.3624814148619771, 0.03166108216624707, 0.24714999003801494, 0.173222737708129, 0.10974256662651896, 0.04089161651674658, -0.012519720480777324, -0.0007085309876129031, -0.10759813465716433, 0.03214362808503211, 0.24007198554463685, 0.023639674838632344, 0.14972550872480497, -0.35779223520308734, -0.09576603093184531, 0.06750764184282161, 0.19190214364789426, 0.06975323791615665, 0.009365203334018588, -0.18206813624128698, 0.094861166595947, -0.26166573469061405, -0.14697795470128766, -0.12659263618290426, 0.02666531300637871, 0.024520076266489922, -0.27468756995571314, 0.11857653244398535, 0.018820810443721712, -0.007965691108256578, -0.027053804267197848, -0.1601577998138964, -0.11277786878403276, 0.09114901132881642, 0.13428283562883736, 0.09060471878387034, 0.12256432459689677, -0.24105194219155238, -0.16076843020040543, 0.37894664398394523, -0.11332409104448743, -0.23730437108315527, 0.07888363202102483, -0.26380495525896547, -0.12018492090050131, 0.09774720510002226, 0.20200631365645677, 0.09833836461417376, -0.13580962938431185, 0.1434684813109925, -0.030927377766929567, 0.14196674594655634, 0.09610308061586693, 0.10665370022878051, 0.1474215707741678, 0.0933790129609406, 0.014088041412178428, 0.07931062294053845, -0.04807647068053484, -0.08783721440006048, -0.4275420777313411, -0.16341273374389856, -0.10180602295557037, 0.08756985574145801, -0.1410697882574459, -0.1499281213711947, 0.3942698200722225, 0.08239235491957515, 0.32094073921442035, 0.04402207095175981, 0.32706262772902844, 0.19738414706196636, 0.16414713733829558, 0.07310068786144257, 0.2977659282577224, 0.17914806665154173, 0.11090029563754797, -0.21174351966939867, 0.06824098294600844, 0.09528955987188965] |
707.3151 | Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a
Regular Ring | In this paper it is established that all two-dimensional polynomial
automorphisms over a regular ring R are stably tame. In the case R is a
Dedekind Q-algebra, some stronger results are obtained. A key element in the
proof is a theorem which yields the following corollary: Over an Artinian ring
A all two-dimensional polynomial automorphisms having Jacobian determinant one
are stably tame, and are tame if A is a Q-algebra. Another crucial ingredient,
of interest in itself, is that stable tameness is a local property: If an
automorphism is locally tame, then it is stably tame.
| math.AC math.AG | in this paper it is established that all twodimensional polynomial automorphisms over a regular ring r are stably tame in the case r is a dedekind qalgebra some stronger results are obtained a key element in the proof is a theorem which yields the following corollary over an artinian ring a all twodimensional polynomial automorphisms having jacobian determinant one are stably tame and are tame if a is a qalgebra another crucial ingredient of interest in itself is that stable tameness is a local property if an automorphism is locally tame then it is stably tame | [['in', 'this', 'paper', 'it', 'is', 'established', 'that', 'all', 'twodimensional', 'polynomial', 'automorphisms', 'over', 'a', 'regular', 'ring', 'r', 'are', 'stably', 'tame', 'in', 'the', 'case', 'r', 'is', 'a', 'dedekind', 'qalgebra', 'some', 'stronger', 'results', 'are', 'obtained', 'a', 'key', 'element', 'in', 'the', 'proof', 'is', 'a', 'theorem', 'which', 'yields', 'the', 'following', 'corollary', 'over', 'an', 'artinian', 'ring', 'a', 'all', 'twodimensional', 'polynomial', 'automorphisms', 'having', 'jacobian', 'determinant', 'one', 'are', 'stably', 'tame', 'and', 'are', 'tame', 'if', 'a', 'is', 'a', 'qalgebra', 'another', 'crucial', 'ingredient', 'of', 'interest', 'in', 'itself', 'is', 'that', 'stable', 'tameness', 'is', 'a', 'local', 'property', 'if', 'an', 'automorphism', 'is', 'locally', 'tame', 'then', 'it', 'is', 'stably', 'tame']] | [-0.2117098992554626, 0.08303210208911575, -0.14432260857817406, 0.06096026537488797, -0.09265431691892445, -0.18943198722748397, -0.11487729179862072, 0.3507384618666644, -0.39442427235189825, -0.10161004706363504, 0.12938335734846382, -0.21714439483669898, -0.15043281677693207, 0.227475955694293, -0.15698590130584003, -0.07788411053964713, 0.04853440515580587, 0.14243322047210918, -0.05674849869562119, -0.35456289056067664, 0.35328364857317257, -0.015672889076085994, 0.17290646710898727, 0.05779291523504071, 0.0674578466884365, 0.006554359293659218, 0.014967108545533847, 0.016245709033682942, -0.13666175855496476, 0.05244515198743708, 0.3308364481733103, 0.06150175473885611, 0.29189198701351415, -0.3311672889588711, -0.12887279013132988, 0.2227501367451623, 0.15348275997772967, 0.021068662864612026, -0.06373344583213718, -0.18983044088963652, 0.19060943695270302, -0.19586925997282378, -0.18059200566494837, -0.06579672855635484, 0.09028587760985829, 0.012379111169138923, -0.309799356236302, -0.0044452777462235344, 0.17738638657222813, 0.15398608549730852, -0.020534221606794745, -0.011911119567230344, -0.07672604236965223, 0.05844095451175235, -0.04482393316963377, 0.083401525975205, 0.08098889487155247, -0.06276894148565286, -0.04238078646812937, 0.3589887423343801, -0.023703809410411242, -0.2417345370267867, 0.1560678581445245, -0.1587826936156489, -0.14707361427523816, 0.1717634542049685, -0.01341278128529666, 0.17138572642579675, -0.06363864422746701, 0.2271637946729849, -0.23134789998584893, 0.124463265829642, 0.07487711369473497, -0.017826190903482104, 0.13467338061794484, 0.10972131273107759, 0.14091559708140267, 0.10878746578479574, 0.050379678315948695, -0.009241239604307339, -0.37240469782652025, -0.20525478678852474, -0.15660615419134652, 0.1261838531451455, -0.09699302358588587, -0.1822753494391994, 0.3992302380502224, 0.04684786939469632, 0.12313343950487858, 0.0870375903044381, 0.2512878634734079, 0.04728940229203241, 0.08181430006031103, 0.1005541663034819, 0.14304148585900597, 0.2376365270659638, -0.06613404449550823, -0.04954630731178137, 0.048311168342479505, 0.23841666401858674] |
707.3152 | New Physics Effects in Higgs Decay to Tau Leptons | We study the possible effects of TeV scale new physics (NP) on the rate for
Higgs boson decays to charged leptons, focusing on the tau tau channel which
can be readily studied at the Large Hadron collider. Using an SU(3)_C X SU(2)_L
X U(1)_Y invariant effective theory valid below a NP scale Lambda, we determine
all effective operators up to dimension six that could generate appreciable
contributions to the decay rate and compute the dependence of the rate on the
corresponding operator coefficients. We bound the size of these operator
coefficients based on the scale of the tau mass, naturalness considerations,
and experimental constraints on the tau anomalous magnetic moment. These
considerations imply that contributions to the decay rate from a NP scale
Lambda ~ TeV could be comparable to the prediction based on the SM Yukawa
interaction. A reliable test of the Higgs mechanism for fermion mass generation
via the h-> tau tau channel is possible only after such NP effects are
understood and brought under theoretical control.
| hep-ph | we study the possible effects of tev scale new physics np on the rate for higgs boson decays to charged leptons focusing on the tau tau channel which can be readily studied at the large hadron collider using an su3_c x su2_l x u1_y invariant effective theory valid below a np scale lambda we determine all effective operators up to dimension six that could generate appreciable contributions to the decay rate and compute the dependence of the rate on the corresponding operator coefficients we bound the size of these operator coefficients based on the scale of the tau mass naturalness considerations and experimental constraints on the tau anomalous magnetic moment these considerations imply that contributions to the decay rate from a np scale lambda tev could be comparable to the prediction based on the sm yukawa interaction a reliable test of the higgs mechanism for fermion mass generation via the h tau tau channel is possible only after such np effects are understood and brought under theoretical control | [['we', 'study', 'the', 'possible', 'effects', 'of', 'tev', 'scale', 'new', 'physics', 'np', 'on', 'the', 'rate', 'for', 'higgs', 'boson', 'decays', 'to', 'charged', 'leptons', 'focusing', 'on', 'the', 'tau', 'tau', 'channel', 'which', 'can', 'be', 'readily', 'studied', 'at', 'the', 'large', 'hadron', 'collider', 'using', 'an', 'su3_c', 'x', 'su2_l', 'x', 'u1_y', 'invariant', 'effective', 'theory', 'valid', 'below', 'a', 'np', 'scale', 'lambda', 'we', 'determine', 'all', 'effective', 'operators', 'up', 'to', 'dimension', 'six', 'that', 'could', 'generate', 'appreciable', 'contributions', 'to', 'the', 'decay', 'rate', 'and', 'compute', 'the', 'dependence', 'of', 'the', 'rate', 'on', 'the', 'corresponding', 'operator', 'coefficients', 'we', 'bound', 'the', 'size', 'of', 'these', 'operator', 'coefficients', 'based', 'on', 'the', 'scale', 'of', 'the', 'tau', 'mass', 'naturalness', 'considerations', 'and', 'experimental', 'constraints', 'on', 'the', 'tau', 'anomalous', 'magnetic', 'moment', 'these', 'considerations', 'imply', 'that', 'contributions', 'to', 'the', 'decay', 'rate', 'from', 'a', 'np', 'scale', 'lambda', 'tev', 'could', 'be', 'comparable', 'to', 'the', 'prediction', 'based', 'on', 'the', 'sm', 'yukawa', 'interaction', 'a', 'reliable', 'test', 'of', 'the', 'higgs', 'mechanism', 'for', 'fermion', 'mass', 'generation', 'via', 'the', 'h', 'tau', 'tau', 'channel', 'is', 'possible', 'only', 'after', 'such', 'np', 'effects', 'are', 'understood', 'and', 'brought', 'under', 'theoretical', 'control']] | [-0.10703892954708343, 0.23614833103723262, -0.05908553684102593, 0.17248120356608915, -0.08161175105072159, -0.18301364911686896, 0.04230331982537228, 0.30642436709465637, -0.2786660590597118, -0.28559704279039233, 0.06362926313886419, -0.26720490814685555, -0.006600681819864327, 0.16966163385569372, 0.07681081325392283, 0.07862239949394106, 0.040801832399752345, 0.037586009063358815, -0.07136431301270411, -0.24571962099123215, 0.29794426892545917, 0.057920382651943894, 0.221750040552468, 0.14782106938842585, 0.07376648503400031, -0.02389529204256611, -0.014995705028663256, -0.06388630494309057, -0.14701357979226617, 0.08466680101992097, 0.12881300188607947, 0.055480109775782604, 0.11786225952840011, -0.3768154615758076, -0.11243318774670895, 0.14019129370960096, 0.14108482955877358, 0.05910583822974115, -0.04886325291452175, -0.2939831383285179, 0.12888061549858235, -0.1663004539524471, -0.09061851234859898, -0.05359987931331575, 0.018891329295001924, -0.09362942325623451, -0.3769309752893778, 0.09178460092759148, -0.006791867437728104, 0.00982549605777465, -0.020221064319013663, -0.19272927583993546, -0.01062844792059401, 0.04645243164781104, 0.16205566214159176, 0.03527908665377514, 0.1897040094201137, -0.1545766575294519, -0.14860926671341682, 0.3890564847332869, -0.12415968765881621, -0.20128894024362257, 0.17883878930020036, -0.18049567933970442, -0.1475740496416187, 0.14334121366984964, 0.24199979164404795, 0.10573305084870385, -0.1602394034492872, 0.1958532906903115, -0.03751767611469231, 0.20167473011228831, 0.026300374565402136, 0.08779893400857136, 0.2124974792157965, 0.18070304747449145, 0.048299426185188905, 0.028231167075102263, -0.08527317948201449, -0.05339489695186438, -0.40106953775864984, -0.10820908644797912, -0.11501728958752383, 0.1150523376452925, -0.08106572511288894, -0.06987183829048826, 0.38687128802051857, 0.1402560963428446, 0.25008002521229045, 0.04490704047895547, 0.24641817447956696, 0.12187405734966021, 0.12104599645109763, 0.015947247326212596, 0.2792221906461886, 0.1259908653474191, 0.06823532816044808, -0.2821027870508953, 0.03725175508242544, 0.0935975348527011] |
707.3153 | Consequences of the H-Theorem from Nonlinear Fokker-Planck Equations | A general type of nonlinear Fokker-Planck equation is derived directly from a
master equation, by introducing generalized transition rates. The H-theorem is
demonstrated for systems that follow those classes of nonlinear Fokker-Planck
equations, in the presence of an external potential. For that, a relation
involving terms of Fokker-Planck equations and general entropic forms is
proposed. It is shown that, at equilibrium, this relation is equivalent to the
maximum-entropy principle. Families of Fokker-Planck equations may be related
to a single type of entropy, and so, the correspondence between well-known
entropic forms and their associated Fokker-Planck equations is explored. It is
shown that the Boltzmann-Gibbs entropy, apart from its connection with the
standard -- linear Fokker-Planck equation -- may be also related to a family of
nonlinear Fokker-Planck equations.
| cond-mat.stat-mech | a general type of nonlinear fokkerplanck equation is derived directly from a master equation by introducing generalized transition rates the htheorem is demonstrated for systems that follow those classes of nonlinear fokkerplanck equations in the presence of an external potential for that a relation involving terms of fokkerplanck equations and general entropic forms is proposed it is shown that at equilibrium this relation is equivalent to the maximumentropy principle families of fokkerplanck equations may be related to a single type of entropy and so the correspondence between wellknown entropic forms and their associated fokkerplanck equations is explored it is shown that the boltzmanngibbs entropy apart from its connection with the standard linear fokkerplanck equation may be also related to a family of nonlinear fokkerplanck equations | [['a', 'general', 'type', 'of', 'nonlinear', 'fokkerplanck', 'equation', 'is', 'derived', 'directly', 'from', 'a', 'master', 'equation', 'by', 'introducing', 'generalized', 'transition', 'rates', 'the', 'htheorem', 'is', 'demonstrated', 'for', 'systems', 'that', 'follow', 'those', 'classes', 'of', 'nonlinear', 'fokkerplanck', 'equations', 'in', 'the', 'presence', 'of', 'an', 'external', 'potential', 'for', 'that', 'a', 'relation', 'involving', 'terms', 'of', 'fokkerplanck', 'equations', 'and', 'general', 'entropic', 'forms', 'is', 'proposed', 'it', 'is', 'shown', 'that', 'at', 'equilibrium', 'this', 'relation', 'is', 'equivalent', 'to', 'the', 'maximumentropy', 'principle', 'families', 'of', 'fokkerplanck', 'equations', 'may', 'be', 'related', 'to', 'a', 'single', 'type', 'of', 'entropy', 'and', 'so', 'the', 'correspondence', 'between', 'wellknown', 'entropic', 'forms', 'and', 'their', 'associated', 'fokkerplanck', 'equations', 'is', 'explored', 'it', 'is', 'shown', 'that', 'the', 'boltzmanngibbs', 'entropy', 'apart', 'from', 'its', 'connection', 'with', 'the', 'standard', 'linear', 'fokkerplanck', 'equation', 'may', 'be', 'also', 'related', 'to', 'a', 'family', 'of', 'nonlinear', 'fokkerplanck', 'equations']] | [-0.08022936066798866, 0.09419528561562765, -0.13954797435179353, 0.09989057553187013, -0.11676400823146105, -0.16426677400618792, -0.0324490464925766, 0.25223439711332324, -0.3494031662940979, -0.23571754885092377, 0.03404669242631644, -0.30531954868137834, -0.17179808031022548, 0.22540945374965668, -0.03758647006005049, 0.07819832676602527, 0.05456719815917313, 0.043478750333189965, -0.09101753824204206, -0.18354959867149592, 0.360484025798738, 0.012293407130055129, 0.26707711012102664, -0.00742743626050651, 0.17867707305401564, -0.06883919749222696, 0.029881179213523866, 0.05183852091804147, -0.14219926821556875, 0.10335270177945495, 0.2207065946701914, 0.09862767143920063, 0.26969374518841505, -0.38732865066826344, -0.2595451245382428, 0.10242260327748955, 0.12153893411532045, 0.13468253500387073, -0.030708744771778585, -0.28099068939872085, 0.03238076140731573, -0.17537731042690574, -0.20619053487852215, -0.07131946648284793, 0.06549547301232815, 0.0899580369060859, -0.2748102826625109, 0.18867281300923788, 0.07578918008506298, -0.01976745058223605, -0.11381124199274928, -0.05970240652002394, -0.05806079192832112, 0.018422467116266487, 0.025739889316260815, -0.010038635063916444, 0.05649512892216444, -0.11675367935188115, -0.09412405480444432, 0.3737156465514563, -0.054211311757564544, -0.30268194022774697, 0.19410417528823018, -0.09478787206113339, -0.09356048245914281, 0.11409464611485601, 0.12097038641571999, 0.13493768317997457, -0.26288800293952225, 0.10357461499841884, -0.02470032547786832, 0.1173735244590789, 0.055759083122014996, -0.006099577455781401, 0.13483576552569868, 0.07676756297796965, 0.03290983174368739, 0.15949954147078096, 0.03774551200075075, -0.2162002590149641, -0.3315768885491416, -0.15761433825455606, -0.1716541458554566, 0.12706051611341537, -0.10283907387556974, -0.15794044942362234, 0.31675631208345295, 0.13420984402485192, 0.11225279132276773, 0.07264283748902381, 0.2128245898373425, 0.3071282334327698, 0.032400708133354786, 0.04146772497147322, 0.22786568050831557, 0.22417599760182202, 0.09907239016145468, -0.26117137978971006, 0.060789834742899986, 0.15301221642643215] |
707.3154 | Hysteresis of spectral evolution in the soft state of black-hole binary
LMC X-3 | We report the discovery of hysteresis between the x-ray spectrum and
luminosity of black-hole binary LMC X-3. Our observations, with the
Proportional Counter Array on the Rossi X-ray Timing Explorer, took place
entirely within the soft spectral state, dominated by a spectral component that
was fitted well with a multicolor disk blackbody. A power-law component was
seen only during times when the luminosity of the disk blackbody was declining.
The x-ray luminosity at these times was comparable to that seen in transient
systems (x-ray novae) when they return to the hard state at the end of an
outburst. Our observations may represent partial transitions to the hard state;
complete transitions have been seen in this system by Wilms et al. (2001). If
they are related to the soft-to-hard transition in transients, then they
demonstrate that hysteresis effects can appear without a full state transition.
We discuss these observations in the context of earlier observations of
hysteresis within the hard state of binaries 1E 1740.7-2942 and GRS 1758-258
and in relation to published explanations of hysteresis in transients.
| astro-ph | we report the discovery of hysteresis between the xray spectrum and luminosity of blackhole binary lmc x3 our observations with the proportional counter array on the rossi xray timing explorer took place entirely within the soft spectral state dominated by a spectral component that was fitted well with a multicolor disk blackbody a powerlaw component was seen only during times when the luminosity of the disk blackbody was declining the xray luminosity at these times was comparable to that seen in transient systems xray novae when they return to the hard state at the end of an outburst our observations may represent partial transitions to the hard state complete transitions have been seen in this system by wilms et al 2001 if they are related to the softtohard transition in transients then they demonstrate that hysteresis effects can appear without a full state transition we discuss these observations in the context of earlier observations of hysteresis within the hard state of binaries 1e 174072942 and grs 1758258 and in relation to published explanations of hysteresis in transients | [['we', 'report', 'the', 'discovery', 'of', 'hysteresis', 'between', 'the', 'xray', 'spectrum', 'and', 'luminosity', 'of', 'blackhole', 'binary', 'lmc', 'x3', 'our', 'observations', 'with', 'the', 'proportional', 'counter', 'array', 'on', 'the', 'rossi', 'xray', 'timing', 'explorer', 'took', 'place', 'entirely', 'within', 'the', 'soft', 'spectral', 'state', 'dominated', 'by', 'a', 'spectral', 'component', 'that', 'was', 'fitted', 'well', 'with', 'a', 'multicolor', 'disk', 'blackbody', 'a', 'powerlaw', 'component', 'was', 'seen', 'only', 'during', 'times', 'when', 'the', 'luminosity', 'of', 'the', 'disk', 'blackbody', 'was', 'declining', 'the', 'xray', 'luminosity', 'at', 'these', 'times', 'was', 'comparable', 'to', 'that', 'seen', 'in', 'transient', 'systems', 'xray', 'novae', 'when', 'they', 'return', 'to', 'the', 'hard', 'state', 'at', 'the', 'end', 'of', 'an', 'outburst', 'our', 'observations', 'may', 'represent', 'partial', 'transitions', 'to', 'the', 'hard', 'state', 'complete', 'transitions', 'have', 'been', 'seen', 'in', 'this', 'system', 'by', 'wilms', 'et', 'al', '2001', 'if', 'they', 'are', 'related', 'to', 'the', 'softtohard', 'transition', 'in', 'transients', 'then', 'they', 'demonstrate', 'that', 'hysteresis', 'effects', 'can', 'appear', 'without', 'a', 'full', 'state', 'transition', 'we', 'discuss', 'these', 'observations', 'in', 'the', 'context', 'of', 'earlier', 'observations', 'of', 'hysteresis', 'within', 'the', 'hard', 'state', 'of', 'binaries', '1e', '174072942', 'and', 'grs', '1758258', 'and', 'in', 'relation', 'to', 'published', 'explanations', 'of', 'hysteresis', 'in', 'transients']] | [-0.06729767122700558, 0.12986169748692603, -0.0878242560935938, 0.09201422997942395, -0.09180829714389128, -0.09388266467505087, 0.07627003728070081, 0.45204594537699966, -0.18756535578003458, -0.34764908544987566, 0.13892821157166976, -0.34350975862267497, -0.07373021475149918, 0.20872722353028544, -0.06786764435480627, 0.03106517837998473, 0.06286150429892422, -0.05251405212507283, -0.04944669511655903, -0.23913394203172775, 0.24609057783638522, 0.087540505367126, 0.15658377068075166, -0.02859798672814238, 0.05969005688961785, -0.03965140339171272, -0.014986110196085804, -0.002325507065039233, -0.09510300809310816, -0.00028611340765225684, 0.25476132490077597, 0.0933194473020122, 0.15110199717478565, -0.39622567451459034, -0.2323485789925786, 0.061100391126474585, 0.12978365548260215, -0.00605562526779052, 0.02955314227824473, -0.25751539412425506, 0.019401649468299528, -0.21174988330283998, -0.14429934424385008, 0.018123993734266125, 0.07602908785354956, 0.020507872115168194, -0.17456922391797863, 0.10673823091859198, 0.06401280265256741, 0.0038283466437757856, -0.14595583389055425, -0.05597451396515372, -0.0065120770392076525, 0.05816639355669261, 0.05116433642165325, 0.06927297015984853, 0.10084269405211095, -0.10728178821414668, -0.15521638774270938, 0.30405193872981323, -0.05731794194812955, 0.0688223231920583, 0.20375533126252518, -0.2148613205237451, -0.18833081107218302, 0.1898501279190351, 0.11802411669244368, 0.08325606871690301, -0.14376992604509128, 0.02680702540200693, 0.0028868281087801283, 0.275150513381692, 0.04142714643424724, 0.03345472392978641, 0.3062638261560666, 0.10752868631296912, -0.050759908937885935, 0.19698903329754616, -0.1950307616143156, -0.0650125225906597, -0.2526360813615118, -0.05552473633502752, -0.1563099503917041, 0.11704062846473466, -0.05686719623441337, -0.16047329197790328, 0.353522269549848, 0.06780384723320709, 0.24203725204024318, 0.001566079491223235, 0.27049667050662096, 0.1391973956790621, 0.05926685318834869, 0.12385111515762778, 0.3669695343774885, 0.11781952584604338, 0.16842244451044727, -0.25046562746240847, 0.11479791209047745, 0.007542201325739339] |
707.3155 | A Random Change of Variables and Applications to the Stochastic Porous
Medium Equation with Multiplicative Time Noise | A change of variables is introduced to reduce certain nonlinear stochastic
evolution equations with multiplicative noise to the corresponding
deterministic equation. The result is then used to investigate a stochastic
porous medium equation.
| math.PR math.AP | a change of variables is introduced to reduce certain nonlinear stochastic evolution equations with multiplicative noise to the corresponding deterministic equation the result is then used to investigate a stochastic porous medium equation | [['a', 'change', 'of', 'variables', 'is', 'introduced', 'to', 'reduce', 'certain', 'nonlinear', 'stochastic', 'evolution', 'equations', 'with', 'multiplicative', 'noise', 'to', 'the', 'corresponding', 'deterministic', 'equation', 'the', 'result', 'is', 'then', 'used', 'to', 'investigate', 'a', 'stochastic', 'porous', 'medium', 'equation']] | [-0.09575940620605693, 0.09229133727917956, -0.0866201227022843, 0.06859038622033867, -0.1559053959578953, -0.12250685542257446, -0.017914511771364647, 0.25690720388383576, -0.41001932819684345, -0.24985746020507632, 0.08686878865189625, -0.24821220242390127, -0.2019187237954501, 0.11841205817957719, -0.09791345702427806, 0.11401210771873593, 0.0012003485198048029, -0.022081134502183308, -0.06904465801110773, -0.27150762575029425, 0.3232407545049985, 0.002945224331183867, 0.20015164013161804, -0.08288134753026745, 0.2338690912407456, -0.04382727837020701, -0.08377654139291156, 0.03965366361521636, -0.15811395091992436, 0.027762832458723675, 0.22205892081061998, 0.03573546778749336, 0.32580891245919646, -0.4478982859714465, -0.2823904750755791, 0.13760959547521037, 0.08041999711845578, 0.15408048335688584, 0.02522447866133668, -0.27225123520827654, 0.08370970375835896, -0.1243478384320483, -0.20119113916404208, -0.03517650064984054, 0.007120792951547738, 0.10498105297147324, -0.32509121569720184, 0.10246610020597775, 0.08156582240410375, -0.07689545512425178, -0.07361460293671399, -0.04954841182651845, -0.0172998777336695, 0.032768086163383545, 0.008747174552726474, 0.017978911400970184, 0.14481613593119563, -0.10060565850951454, -0.07222744615071199, 0.3808352394085942, -0.15549603369877193, -0.31100732031645195, 0.12905441963988723, -0.07941656570994493, -0.07601180650068051, 0.1800592891646154, 0.2509100087777232, 0.08124792553258664, -0.267729746601121, 0.07379631009517294, -0.010460296264764938, 0.18976091844678827, 0.0669436806135557, -0.006760250353677707, -0.001511636387669679, 0.19096733323495949, 0.09764144270483291, 0.1704387820015351, 0.03156502787588221, -0.16973892503389806, -0.2634610060150876, -0.13941817840730603, -0.11084622291452957, 0.14494986092728196, -0.13423468082240134, -0.2198384195058183, 0.34131032775974635, 0.15008155298842626, 0.14724466754970225, 0.03843915406050104, 0.2505857677015504, 0.31437935234245024, -0.05444833207311052, 0.08322604851458561, 0.14708096336460474, 0.2992342607767293, 0.1671746727079153, -0.27569916484538803, 0.09051875565483262, 0.11563881263701302] |
707.3156 | Gluelump spectrum from Coulomb gauge QCD | We compute the energy spectrum of gluelumps defined as gluonic excitations
bound to a localized, static octet source. We are able to reproduce the
nontrivial ordering of the spin-parity levels and show how this is related to
the non-abelian part of the Coulomb interaction between color charges.
| hep-ph | we compute the energy spectrum of gluelumps defined as gluonic excitations bound to a localized static octet source we are able to reproduce the nontrivial ordering of the spinparity levels and show how this is related to the nonabelian part of the coulomb interaction between color charges | [['we', 'compute', 'the', 'energy', 'spectrum', 'of', 'gluelumps', 'defined', 'as', 'gluonic', 'excitations', 'bound', 'to', 'a', 'localized', 'static', 'octet', 'source', 'we', 'are', 'able', 'to', 'reproduce', 'the', 'nontrivial', 'ordering', 'of', 'the', 'spinparity', 'levels', 'and', 'show', 'how', 'this', 'is', 'related', 'to', 'the', 'nonabelian', 'part', 'of', 'the', 'coulomb', 'interaction', 'between', 'color', 'charges']] | [-0.12131509515754085, 0.21921507942866772, -0.07917969468782873, 0.1792162243831665, -0.06600347846904968, -0.07039085631952324, 0.02633916517283688, 0.3667655484156406, -0.20678703475030177, -0.32274704608828464, -0.04910442030968818, -0.3010785291962167, -0.08863861937069042, 0.042423070428219245, 0.02973541730341125, -0.018339090475297356, -0.029198956440519938, 0.09674684603282428, -0.05089296412436252, -0.20448958604259693, 0.3512439648719861, 0.007308318557098825, 0.25273457019926704, 0.18837566919466284, 0.022719965554139715, 0.0021113751485864534, 0.03293884693684571, -0.040896135996630854, -0.10677860187802543, 0.11788330692797899, 0.23739831833332342, 0.020239859185320265, 0.11280579192246845, -0.3832465821996014, -0.13331275381781954, 0.10325351801324398, 0.14852955196290574, 0.13617664173324692, -0.0163864921382133, -0.29359879352627916, 0.1314075987270855, -0.20213469102027568, -0.15784231321688028, -0.13294473940387685, -0.005388422106253974, 0.004713035693907357, -0.26460557112450456, 0.1075244902018854, 0.03016759605800852, -0.01585845986103758, -0.12225234087437709, -0.1390007894803235, -0.10670724130691366, 0.1685285487291502, 0.09142888724764293, 0.03912785215342932, 0.11451743628354148, -0.19176408031737394, -0.14200480615204952, 0.37278512099440747, -0.03841362083132597, -0.20399500211661167, 0.15535602659145567, -0.12283986072709903, -0.10117900054505531, 0.10442661067490723, 0.12988422777964437, 0.12124120102244172, -0.11551181876293799, 0.09512603675149024, -0.04049604576318822, 0.193163293473264, 0.054871982290468954, 0.10839501982356639, 0.22943671828413265, 0.06933065299737326, 0.048839354213882, 0.1900394543648717, -0.09478783549027557, -0.10329443908375786, -0.35575295065311674, -0.07973092946625177, -0.22875809855759144, 0.0512429684638343, 0.016065991310553845, -0.20333224243702405, 0.4558081200347589, 0.14500451619003682, 0.19736988831093497, -0.017890681790069064, 0.24816108963630618, 0.13540292657822608, 0.0944574716342415, 0.06666194238363111, 0.21950246900954146, 0.19011040910226393, 0.06609286718625337, -0.330040640524648, -0.06116378171607218, 0.08711852497876958] |
707.3157 | Accurate retrieval of structural information from laser-induced
photoelectron and high-harmonic spectra by few-cycle laser pulses | By analyzing ``exact'' theoretical results from solving the time-dependent
Schr\"odinger equation of atoms in few-cycle laser pulses, we established the
general conclusion that differential elastic scattering and photo-recombination
cross sections of the target ion with {\em free} electrons can be extracted
accurately from laser-generated high-energy electron momentum spectra and
high-order harmonic spectra, respectively. Since both electron scattering and
photoionization (the inverse of photo-recombination) are the conventional means
for interrogating the structure of atoms and molecules, this result shows that
existing few-cycle infrared lasers can be implemented for ultrafast imaging of
transient molecules with temporal resolution of a few femtoseconds.
| physics.atom-ph | by analyzing exact theoretical results from solving the timedependent schrodinger equation of atoms in fewcycle laser pulses we established the general conclusion that differential elastic scattering and photorecombination cross sections of the target ion with em free electrons can be extracted accurately from lasergenerated highenergy electron momentum spectra and highorder harmonic spectra respectively since both electron scattering and photoionization the inverse of photorecombination are the conventional means for interrogating the structure of atoms and molecules this result shows that existing fewcycle infrared lasers can be implemented for ultrafast imaging of transient molecules with temporal resolution of a few femtoseconds | [['by', 'analyzing', 'exact', 'theoretical', 'results', 'from', 'solving', 'the', 'timedependent', 'schrodinger', 'equation', 'of', 'atoms', 'in', 'fewcycle', 'laser', 'pulses', 'we', 'established', 'the', 'general', 'conclusion', 'that', 'differential', 'elastic', 'scattering', 'and', 'photorecombination', 'cross', 'sections', 'of', 'the', 'target', 'ion', 'with', 'em', 'free', 'electrons', 'can', 'be', 'extracted', 'accurately', 'from', 'lasergenerated', 'highenergy', 'electron', 'momentum', 'spectra', 'and', 'highorder', 'harmonic', 'spectra', 'respectively', 'since', 'both', 'electron', 'scattering', 'and', 'photoionization', 'the', 'inverse', 'of', 'photorecombination', 'are', 'the', 'conventional', 'means', 'for', 'interrogating', 'the', 'structure', 'of', 'atoms', 'and', 'molecules', 'this', 'result', 'shows', 'that', 'existing', 'fewcycle', 'infrared', 'lasers', 'can', 'be', 'implemented', 'for', 'ultrafast', 'imaging', 'of', 'transient', 'molecules', 'with', 'temporal', 'resolution', 'of', 'a', 'few', 'femtoseconds']] | [-0.0374503105516061, 0.1890576515944129, -0.06788086965962341, 0.07417546566270028, 0.003671183998724728, -0.13506284464301185, -0.0220886218006431, 0.4789418823019874, -0.2679181957636217, -0.2842322219882838, -0.03268621766097806, -0.33017778769135475, -0.04082200233119004, 0.24502374840232383, 0.07106401122673744, 0.1011518463927481, 0.09004263355010989, -0.07416817217576083, -0.017419870179957907, -0.12201210649241928, 0.2736358659182007, 0.09833916696347061, 0.23656594418365545, 0.09633427657506834, 0.10738619944701593, 0.06991049639805398, -0.004125801310168974, -0.046193525420896935, -0.09107797706544968, 0.1478400674055923, 0.2951499565241087, 0.02272512647088128, 0.175073443800258, -0.5040615263460863, -0.2604879790192677, 0.0035856833782592656, 0.16360822957328924, 0.1752673048065091, -0.09407034158857182, -0.309129868031978, -0.030704509734994535, -0.11644736821339889, -0.14087554291031804, -0.09162964621050791, 0.004959793013492317, 0.1360460768613701, -0.289400215710471, 0.07578554101796313, 0.0008267628480539178, 0.055194697436886, -0.10432254786913593, -0.05162016099502304, -0.013376797537667432, 0.009837519927796993, 0.002569321647634485, -0.00015946468009114868, 0.16609771459861988, -0.1114718369937342, -0.11054589731543503, 0.38695477043287924, -0.11064492914863307, -0.08918483313549348, 0.12379476867529159, -0.20791535949183984, -0.03317362106772083, 0.27479997945178036, 0.1260154651515562, 0.17453949642602842, -0.16449535761388356, 0.048413244280681916, -0.015399713466658888, 0.208043520366651, 0.16349903749527805, 0.0833064777279188, 0.15290461181465423, 0.15693138135747628, -0.024447226247778446, 0.06429503639619633, -0.15160108092852465, -0.046649997644690855, -0.24882448928411863, -0.08620390266231778, -0.19134533348154614, 0.0864098536537377, -0.015109972193992386, -0.09147639497362002, 0.3796481988510362, 0.0940500130980379, 0.12639900601722978, -0.053270050277463114, 0.32748121640296896, 0.19628552189849394, 0.00770356474124422, 0.01619292785310083, 0.26826808910177213, 0.17534319726947808, 0.0997409973613391, -0.2912704360934746, -0.008580318177024824, 0.03933229151116026] |
707.3158 | Quasiparticle mirages in the tunneling spectra of d-wave superconductors | We illustrate the importance of many-body effects in the Fourier transformed
local density of states (FT-LDOS) of d-wave superconductors from a model of
electrons coupled to an Einstein mode with energy Omega_0. For bias energies
significantly larger than Omega_0 the quasiparticles have short lifetimes due
to this coupling, and the FT-LDOS is featureless if the electron-impurity
scattering is treated within the Born approximation. In this regime it is
important to include boson exchange for the electron-impurity scattering which
provides a `step down' in energy for the electrons and allows for long
lifetimes. This many-body effect produces qualitatively different results,
namely the presence of peaks in the FT-LDOS which are mirrors of the
quasiparticle interference peaks which occur at bias energies smaller than ~
Omega_0. The experimental observation of these quasiparticle mirages would be
an important step forward in elucidating the role of many-body effects in
FT-LDOS measurements.
| cond-mat.supr-con cond-mat.str-el | we illustrate the importance of manybody effects in the fourier transformed local density of states ftldos of dwave superconductors from a model of electrons coupled to an einstein mode with energy omega_0 for bias energies significantly larger than omega_0 the quasiparticles have short lifetimes due to this coupling and the ftldos is featureless if the electronimpurity scattering is treated within the born approximation in this regime it is important to include boson exchange for the electronimpurity scattering which provides a step down in energy for the electrons and allows for long lifetimes this manybody effect produces qualitatively different results namely the presence of peaks in the ftldos which are mirrors of the quasiparticle interference peaks which occur at bias energies smaller than omega_0 the experimental observation of these quasiparticle mirages would be an important step forward in elucidating the role of manybody effects in ftldos measurements | [['we', 'illustrate', 'the', 'importance', 'of', 'manybody', 'effects', 'in', 'the', 'fourier', 'transformed', 'local', 'density', 'of', 'states', 'ftldos', 'of', 'dwave', 'superconductors', 'from', 'a', 'model', 'of', 'electrons', 'coupled', 'to', 'an', 'einstein', 'mode', 'with', 'energy', 'omega_0', 'for', 'bias', 'energies', 'significantly', 'larger', 'than', 'omega_0', 'the', 'quasiparticles', 'have', 'short', 'lifetimes', 'due', 'to', 'this', 'coupling', 'and', 'the', 'ftldos', 'is', 'featureless', 'if', 'the', 'electronimpurity', 'scattering', 'is', 'treated', 'within', 'the', 'born', 'approximation', 'in', 'this', 'regime', 'it', 'is', 'important', 'to', 'include', 'boson', 'exchange', 'for', 'the', 'electronimpurity', 'scattering', 'which', 'provides', 'a', 'step', 'down', 'in', 'energy', 'for', 'the', 'electrons', 'and', 'allows', 'for', 'long', 'lifetimes', 'this', 'manybody', 'effect', 'produces', 'qualitatively', 'different', 'results', 'namely', 'the', 'presence', 'of', 'peaks', 'in', 'the', 'ftldos', 'which', 'are', 'mirrors', 'of', 'the', 'quasiparticle', 'interference', 'peaks', 'which', 'occur', 'at', 'bias', 'energies', 'smaller', 'than', 'omega_0', 'the', 'experimental', 'observation', 'of', 'these', 'quasiparticle', 'mirages', 'would', 'be', 'an', 'important', 'step', 'forward', 'in', 'elucidating', 'the', 'role', 'of', 'manybody', 'effects', 'in', 'ftldos', 'measurements']] | [-0.14233961030011613, 0.22319080543322392, -0.10751786968058409, 0.11569239797185443, -0.014708036575976708, -0.12320325117915461, 0.04185393229701033, 0.33858899876781523, -0.23890071935084176, -0.27476296887720286, -0.03063619360869929, -0.3070392264580483, -0.05815283634878491, 0.1856109426446157, 0.05129445486300153, -0.003124752522076238, 0.039114059472124874, -0.0004332420664954267, -0.058271838538667624, -0.18172454011741362, 0.29786825350929075, 0.07714458917943787, 0.27414462770246073, 0.1108560474519299, 0.026574360538427145, 0.044927127949561774, 0.045033345323084686, -0.016281454262566077, -0.10827294682241874, 0.052234541064635404, 0.28340020566406876, -0.06443661170427956, 0.2698167939670384, -0.45612858630053393, -0.20229484288784202, 0.0590337757084978, 0.18309240933341828, 0.18099299938280825, -0.03128068190074385, -0.27956904317188547, 0.007604618167683278, -0.150616375455148, -0.13338005648326282, -0.05418257023150433, 0.02145856185433493, -0.014982192770718303, -0.25128857618395545, 0.16806524269177567, 0.05230284372523223, -0.002644427630999317, -0.06556344933031216, -0.12860089956387266, 0.0008610221015110816, 0.07535007191273345, 0.07595519147963224, 0.022351573358532297, 0.13753374806949742, -0.12209553687756702, -0.06733134822371377, 0.3949028358935085, -0.06238490056540747, -0.13381183213292788, 0.16081675378069893, -0.16819009062999937, -0.08518356873258336, 0.18313725260788039, 0.12740937689293738, 0.0809225016688188, -0.10827173522278054, 0.0668728168573779, 0.02916096268486461, 0.14914328167023622, 0.04683876286674616, 0.13957970820316304, 0.22595327148494654, 0.17123057430630792, 0.03656886218670653, 0.09371532570357013, -0.13551434457034178, -0.07702873470835796, -0.28376461455777086, -0.09900508439431464, -0.1912964176622216, 0.06269255949962527, -0.037832393176010046, -0.147398389780205, 0.4127860865364336, 0.1684490065600672, 0.2019559974680106, -0.00016678666156933527, 0.2820883105534499, 0.1890891296908655, 0.10322101578141933, 0.044175199838993075, 0.3017151655488941, 0.15505265896782688, 0.05457990161423916, -0.2860578010400936, 0.037098759377043544, 0.006413205617668796] |
707.3159 | Rectification and nonlinear transport in chaotic dots and rings | We investigate the nonlinear current-voltage characteristic of mesoscopic
conductors and the current generated through rectification of an alternating
external bias. To leading order in applied voltages both the nonlinear and the
rectified current are quadratic. This current response can be described in
terms of second order conductance coefficients and for a generic mesoscopic
conductor they fluctuate randomly from sample to sample. Due to Coulomb
interactions the symmetry of transport under magnetic field inversion is broken
in a two-terminal setup. Therefore, we consider both the symmetric and
antisymmetric nonlinear conductances separately. We treat interactions
self-consistently taking into account nearby gates.
The nonlinear current is determined by different combinations of second order
conductances depending on the way external voltages are varied away from an
equilibrium reference point (bias mode). We discuss the role of the bias mode
and circuit asymmetry in recent experiments. In a photovoltaic experiment the
alternating perturbations are rectified, and the fluctuations of the nonlinear
conductance are shown to decrease with frequency. Their asymptotical behavior
strongly depends on the bias mode and in general the antisymmetric conductance
is suppressed stronger then the symmetric conductance.
We next investigate nonlinear transport and rectification in chaotic rings.
To this extent we develop a model which combines a chaotic quantum dot and a
ballistic arm to enclose an Aharonov-Bohm flux. In the linear two-probe
conductance the phase of the Aharonov-Bohm oscillation is pinned while in
nonlinear transport phase rigidity is lost. We discuss the shape of the
mesoscopic distribution of the phase and determine the phase fluctuations.
| cond-mat.mes-hall cond-mat.mtrl-sci | we investigate the nonlinear currentvoltage characteristic of mesoscopic conductors and the current generated through rectification of an alternating external bias to leading order in applied voltages both the nonlinear and the rectified current are quadratic this current response can be described in terms of second order conductance coefficients and for a generic mesoscopic conductor they fluctuate randomly from sample to sample due to coulomb interactions the symmetry of transport under magnetic field inversion is broken in a twoterminal setup therefore we consider both the symmetric and antisymmetric nonlinear conductances separately we treat interactions selfconsistently taking into account nearby gates the nonlinear current is determined by different combinations of second order conductances depending on the way external voltages are varied away from an equilibrium reference point bias mode we discuss the role of the bias mode and circuit asymmetry in recent experiments in a photovoltaic experiment the alternating perturbations are rectified and the fluctuations of the nonlinear conductance are shown to decrease with frequency their asymptotical behavior strongly depends on the bias mode and in general the antisymmetric conductance is suppressed stronger then the symmetric conductance we next investigate nonlinear transport and rectification in chaotic rings to this extent we develop a model which combines a chaotic quantum dot and a ballistic arm to enclose an aharonovbohm flux in the linear twoprobe conductance the phase of the aharonovbohm oscillation is pinned while in nonlinear transport phase rigidity is lost we discuss the shape of the mesoscopic distribution of the phase and determine the phase fluctuations | [['we', 'investigate', 'the', 'nonlinear', 'currentvoltage', 'characteristic', 'of', 'mesoscopic', 'conductors', 'and', 'the', 'current', 'generated', 'through', 'rectification', 'of', 'an', 'alternating', 'external', 'bias', 'to', 'leading', 'order', 'in', 'applied', 'voltages', 'both', 'the', 'nonlinear', 'and', 'the', 'rectified', 'current', 'are', 'quadratic', 'this', 'current', 'response', 'can', 'be', 'described', 'in', 'terms', 'of', 'second', 'order', 'conductance', 'coefficients', 'and', 'for', 'a', 'generic', 'mesoscopic', 'conductor', 'they', 'fluctuate', 'randomly', 'from', 'sample', 'to', 'sample', 'due', 'to', 'coulomb', 'interactions', 'the', 'symmetry', 'of', 'transport', 'under', 'magnetic', 'field', 'inversion', 'is', 'broken', 'in', 'a', 'twoterminal', 'setup', 'therefore', 'we', 'consider', 'both', 'the', 'symmetric', 'and', 'antisymmetric', 'nonlinear', 'conductances', 'separately', 'we', 'treat', 'interactions', 'selfconsistently', 'taking', 'into', 'account', 'nearby', 'gates', 'the', 'nonlinear', 'current', 'is', 'determined', 'by', 'different', 'combinations', 'of', 'second', 'order', 'conductances', 'depending', 'on', 'the', 'way', 'external', 'voltages', 'are', 'varied', 'away', 'from', 'an', 'equilibrium', 'reference', 'point', 'bias', 'mode', 'we', 'discuss', 'the', 'role', 'of', 'the', 'bias', 'mode', 'and', 'circuit', 'asymmetry', 'in', 'recent', 'experiments', 'in', 'a', 'photovoltaic', 'experiment', 'the', 'alternating', 'perturbations', 'are', 'rectified', 'and', 'the', 'fluctuations', 'of', 'the', 'nonlinear', 'conductance', 'are', 'shown', 'to', 'decrease', 'with', 'frequency', 'their', 'asymptotical', 'behavior', 'strongly', 'depends', 'on', 'the', 'bias', 'mode', 'and', 'in', 'general', 'the', 'antisymmetric', 'conductance', 'is', 'suppressed', 'stronger', 'then', 'the', 'symmetric', 'conductance', 'we', 'next', 'investigate', 'nonlinear', 'transport', 'and', 'rectification', 'in', 'chaotic', 'rings', 'to', 'this', 'extent', 'we', 'develop', 'a', 'model', 'which', 'combines', 'a', 'chaotic', 'quantum', 'dot', 'and', 'a', 'ballistic', 'arm', 'to', 'enclose', 'an', 'aharonovbohm', 'flux', 'in', 'the', 'linear', 'twoprobe', 'conductance', 'the', 'phase', 'of', 'the', 'aharonovbohm', 'oscillation', 'is', 'pinned', 'while', 'in', 'nonlinear', 'transport', 'phase', 'rigidity', 'is', 'lost', 'we', 'discuss', 'the', 'shape', 'of', 'the', 'mesoscopic', 'distribution', 'of', 'the', 'phase', 'and', 'determine', 'the', 'phase', 'fluctuations']] | [-0.2094970682748652, 0.1628657613573738, -0.045338394485623025, 0.026534516573791928, -0.042220233087097915, -0.14837529809822833, 0.007578843888298674, 0.36436585574887514, -0.31612816001251925, -0.25333226100710315, 0.033087325824596954, -0.28118695728077486, -0.16095682471535924, 0.18222471281215108, -0.01856116505383741, 0.02129774602720382, -0.03588948798032228, 0.0004642412917116496, -0.05465295332196117, -0.20579425171732638, 0.278418823891488, 0.02658572048911326, 0.29916893745823875, 0.03521943482177105, 0.05857190460573486, 0.00031205804057888627, 0.02487586658607479, 0.0743416058537587, -0.11038858960125977, 0.03141640080322372, 0.21568799546137626, -0.08615517770453525, 0.20516417552460367, -0.48836572931346794, -0.15718013842729486, 0.08081757039103041, 0.1193801942052261, 0.15764410089376918, -0.03623211688241063, -0.2781229474669777, 0.05361463144141081, -0.12333087918832605, -0.10560852863576527, -0.06011346048550812, -0.003232532220720277, 0.05578053348370476, -0.28225173742884374, 0.13002531427714065, 0.07252289844845516, 0.047107878405102124, -0.03492738603152276, -0.08215160030591133, -0.025226074058239855, 0.10048759519672534, 0.007312689037025561, -0.021176324194795856, 0.20675609431433029, -0.1576861488187363, -0.09468539613922398, 0.32726582358261264, -0.07277163168310928, -0.17638872937410685, 0.1254856589206267, -0.18894241696707612, -0.040459041471210835, 0.1075991378990772, 0.17766346247072926, 0.08074338977590871, -0.16282885413805726, 0.08038189950425799, 0.01651742739976919, 0.14493097692206006, 0.05219818390520862, 0.023883472716272624, 0.2504404385603495, 0.15840751147740997, 0.08049252175352001, 0.1778898324673504, -0.11297338582780653, -0.10803721454104512, -0.30239512461813267, -0.11020036355416313, -0.16278970377681518, 0.08235667098733399, -0.052395374062824004, -0.1791476571759015, 0.47770256044008075, 0.17309119713888688, 0.204967495890799, 0.005112830311606279, 0.2909435273522115, 0.20808955945265223, 0.06275811806361477, 0.02865430200461016, 0.2548717305629778, 0.17930385656609002, 0.10481457009372544, -0.32417634898621595, 0.05384618498606783, 0.0041709558462621425] |
707.316 | Random Walks in Random Environments | Random walks provide a simple conventional model to describe various
transport processes, for example propagation of heat or diffusion of matter
through a medium. However, in many practical cases the medium is highly
irregular due to defects, impurities, fluctuations etc., and it is natural to
model this as random environment. In the random walks context, such models are
referred to as Random Walks in Random Environments (RWRE). This is a relatively
new chapter in applied probability and physics of disordered systems, initiated
in the 1970s. Early interest was motivated by some problems in biology,
crystallography and metal physics, but later applications have spread through
numerous areas. After 30 years of extensive work, RWRE remain a very active
area of research, which has already led to many surprising discoveries. The
goal of this article is to give a brief introduction to the beautiful area of
RWRE. The principal model to be discussed is a random walk with
nearest-neighbor jumps in independent identically distributed (i.i.d.) random
environment in one dimension, although we shall also comment on some extensions
and generalizations. The focus is on rigorous results; however, heuristics is
used freely to motivate the ideas and explain the approaches and proofs. In a
few cases, sketches of the proofs have been included, which should help the
reader to appreciate the flavor of results and methods.
| math.PR math-ph math.MP | random walks provide a simple conventional model to describe various transport processes for example propagation of heat or diffusion of matter through a medium however in many practical cases the medium is highly irregular due to defects impurities fluctuations etc and it is natural to model this as random environment in the random walks context such models are referred to as random walks in random environments rwre this is a relatively new chapter in applied probability and physics of disordered systems initiated in the 1970s early interest was motivated by some problems in biology crystallography and metal physics but later applications have spread through numerous areas after 30 years of extensive work rwre remain a very active area of research which has already led to many surprising discoveries the goal of this article is to give a brief introduction to the beautiful area of rwre the principal model to be discussed is a random walk with nearestneighbor jumps in independent identically distributed iid random environment in one dimension although we shall also comment on some extensions and generalizations the focus is on rigorous results however heuristics is used freely to motivate the ideas and explain the approaches and proofs in a few cases sketches of the proofs have been included which should help the reader to appreciate the flavor of results and methods | [['random', 'walks', 'provide', 'a', 'simple', 'conventional', 'model', 'to', 'describe', 'various', 'transport', 'processes', 'for', 'example', 'propagation', 'of', 'heat', 'or', 'diffusion', 'of', 'matter', 'through', 'a', 'medium', 'however', 'in', 'many', 'practical', 'cases', 'the', 'medium', 'is', 'highly', 'irregular', 'due', 'to', 'defects', 'impurities', 'fluctuations', 'etc', 'and', 'it', 'is', 'natural', 'to', 'model', 'this', 'as', 'random', 'environment', 'in', 'the', 'random', 'walks', 'context', 'such', 'models', 'are', 'referred', 'to', 'as', 'random', 'walks', 'in', 'random', 'environments', 'rwre', 'this', 'is', 'a', 'relatively', 'new', 'chapter', 'in', 'applied', 'probability', 'and', 'physics', 'of', 'disordered', 'systems', 'initiated', 'in', 'the', '1970s', 'early', 'interest', 'was', 'motivated', 'by', 'some', 'problems', 'in', 'biology', 'crystallography', 'and', 'metal', 'physics', 'but', 'later', 'applications', 'have', 'spread', 'through', 'numerous', 'areas', 'after', '30', 'years', 'of', 'extensive', 'work', 'rwre', 'remain', 'a', 'very', 'active', 'area', 'of', 'research', 'which', 'has', 'already', 'led', 'to', 'many', 'surprising', 'discoveries', 'the', 'goal', 'of', 'this', 'article', 'is', 'to', 'give', 'a', 'brief', 'introduction', 'to', 'the', 'beautiful', 'area', 'of', 'rwre', 'the', 'principal', 'model', 'to', 'be', 'discussed', 'is', 'a', 'random', 'walk', 'with', 'nearestneighbor', 'jumps', 'in', 'independent', 'identically', 'distributed', 'iid', 'random', 'environment', 'in', 'one', 'dimension', 'although', 'we', 'shall', 'also', 'comment', 'on', 'some', 'extensions', 'and', 'generalizations', 'the', 'focus', 'is', 'on', 'rigorous', 'results', 'however', 'heuristics', 'is', 'used', 'freely', 'to', 'motivate', 'the', 'ideas', 'and', 'explain', 'the', 'approaches', 'and', 'proofs', 'in', 'a', 'few', 'cases', 'sketches', 'of', 'the', 'proofs', 'have', 'been', 'included', 'which', 'should', 'help', 'the', 'reader', 'to', 'appreciate', 'the', 'flavor', 'of', 'results', 'and', 'methods']] | [-0.06840848925861744, 0.15168023484470866, -0.08414739799986472, 0.07456388749649974, -0.08357553663580039, -0.1659420995217134, 0.048705905005586386, 0.3963086256849258, -0.2436353974691655, -0.26903173656541135, 0.15074681188032082, -0.28261682332280375, -0.189820805030474, 0.20563137861210937, -0.113316037909299, 0.04596987147314365, 0.03367429236242456, 0.017519152495251017, -0.00687976145120797, -0.30224374594634623, 0.24624450424124358, 0.0615792735866083, 0.25554107518286145, 0.061587034682889424, 0.04634167810050027, 0.00461260721738964, -0.07346243796778233, 0.0237275488318706, -0.10317561054192985, 0.0891072367560202, 0.261235697057849, 0.07817417418751542, 0.30647747714130935, -0.45676875978106873, -0.2598708014091636, 0.1073506653179402, 0.1603563117252813, 0.1510648502944238, -0.08396207015740063, -0.2814904922669578, 0.041035280854236585, -0.14743977199692798, -0.13962543953414755, -0.047753739075196464, 0.047757893011930314, 0.044775729629340594, -0.21560325111719808, 0.027522424437317606, 0.08170795940280884, 0.06176923992474576, 0.027974487935801585, -0.12515313836282344, 0.08181274459945798, 0.11225029763571434, 0.08685391524027733, 0.02669257730153711, 0.1468189028196137, -0.11931142088280565, -0.1484219385451959, 0.40925937864486744, -0.004160645473205522, -0.18579352947762195, 0.25129736362144167, -0.12562386896458638, -0.19551270284205507, 0.09101640885787694, 0.20997310483999418, 0.09763517147013626, -0.18523712411174142, 0.10134781327024478, -0.036636608611007176, 0.09055685775663554, 0.024374566879332267, 0.032262842152100644, 0.20684701652002976, 0.16736751195615482, 0.03909607686054362, 0.1323549726809847, -0.00979150565666869, -0.14225015417159004, -0.2568441268694566, -0.13725020703462876, -0.2034018428405254, 0.06979680764843864, -0.06056634413508851, -0.18384546693623266, 0.38911730875240247, 0.19529680433712332, 0.2001193926018149, 0.00945081818857201, 0.24490814687132903, 0.05829858734280773, 0.011690479795909967, 0.05473927845196974, 0.1777488975015661, 0.19188322649429232, 0.15704785085663267, -0.07297613334971492, 0.09259509591014028, 0.03880487356831908] |
707.3161 | The Subaru/XMM-Newton Deep Survey (SXDS). IV. Evolution of Lya Emitters
from z=3.1 to 5.7 in the 1 deg^2 Field: Luminosity Functions and AGN | We present luminosity functions (LFs) and various properties of Lya emitters
(LAEs) at z=3.1, 3.7, and 5.7, in a 1 deg^2 sky of the Subaru/XMM-Newton Deep
Survey (SXDS) Field. We obtain a photometric sample of 858 LAE candidates based
on deep Subaru/Suprime-Cam imaging data, and a spectroscopic sample of 84
confirmed LAEs from Subaru/FOCAS and VLT/VIMOS spectroscopy in a survey volume
of ~10^6 Mpc^3 with a limiting Lya luminosity of ~3x10^42 erg/s. We derive the
LFs of Lya and UV-continuum (~1500 \AA) for each redshift, taking into account
the statistical error and the field-to-field variation. We find that the
apparent Lya LF shows no significant evolution between z=3.1 and 5.7 within
factors of 1.8 and 2.7 in L* and phi*, respectively. On the other hand, the UV
LF of LAEs increases from z=3.1 to 5.7, indicating that galaxies with Lya
emission are more common at earlier epochs. We identify six LAEs with AGN
activities from our spectra combined with VLA, Spitzer, and XMM-Newton data.
Among the photometrically selected LAEs at z=3.1 and 3.7, only ~1 % show AGN
activities, while the brightest LAEs with logL(Lya) >~ 43.4-43.6 erg/s appear
to always host AGNs. Our LAEs are bluer in UV-continuum color than dropout
galaxies, suggesting lower extinction and/or younger stellar populations. Our
stacking analyses provide upper limits to the radio luminosity and the
f(HeII)/f(Lya) line fraction, and constrain the hidden star formation
(+low-luminosity AGN) and the primordial population in LAEs.
| astro-ph | we present luminosity functions lfs and various properties of lya emitters laes at z31 37 and 57 in a 1 deg2 sky of the subaruxmmnewton deep survey sxds field we obtain a photometric sample of 858 lae candidates based on deep subarusuprimecam imaging data and a spectroscopic sample of 84 confirmed laes from subarufocas and vltvimos spectroscopy in a survey volume of 106 mpc3 with a limiting lya luminosity of 3x1042 ergs we derive the lfs of lya and uvcontinuum 1500 aa for each redshift taking into account the statistical error and the fieldtofield variation we find that the apparent lya lf shows no significant evolution between z31 and 57 within factors of 18 and 27 in l and phi respectively on the other hand the uv lf of laes increases from z31 to 57 indicating that galaxies with lya emission are more common at earlier epochs we identify six laes with agn activities from our spectra combined with vla spitzer and xmmnewton data among the photometrically selected laes at z31 and 37 only 1 show agn activities while the brightest laes with logllya 434436 ergs appear to always host agns our laes are bluer in uvcontinuum color than dropout galaxies suggesting lower extinction andor younger stellar populations our stacking analyses provide upper limits to the radio luminosity and the fheiiflya line fraction and constrain the hidden star formation lowluminosity agn and the primordial population in laes | [['we', 'present', 'luminosity', 'functions', 'lfs', 'and', 'various', 'properties', 'of', 'lya', 'emitters', 'laes', 'at', 'z31', '37', 'and', '57', 'in', 'a', '1', 'deg2', 'sky', 'of', 'the', 'subaruxmmnewton', 'deep', 'survey', 'sxds', 'field', 'we', 'obtain', 'a', 'photometric', 'sample', 'of', '858', 'lae', 'candidates', 'based', 'on', 'deep', 'subarusuprimecam', 'imaging', 'data', 'and', 'a', 'spectroscopic', 'sample', 'of', '84', 'confirmed', 'laes', 'from', 'subarufocas', 'and', 'vltvimos', 'spectroscopy', 'in', 'a', 'survey', 'volume', 'of', '106', 'mpc3', 'with', 'a', 'limiting', 'lya', 'luminosity', 'of', '3x1042', 'ergs', 'we', 'derive', 'the', 'lfs', 'of', 'lya', 'and', 'uvcontinuum', '1500', 'aa', 'for', 'each', 'redshift', 'taking', 'into', 'account', 'the', 'statistical', 'error', 'and', 'the', 'fieldtofield', 'variation', 'we', 'find', 'that', 'the', 'apparent', 'lya', 'lf', 'shows', 'no', 'significant', 'evolution', 'between', 'z31', 'and', '57', 'within', 'factors', 'of', '18', 'and', '27', 'in', 'l', 'and', 'phi', 'respectively', 'on', 'the', 'other', 'hand', 'the', 'uv', 'lf', 'of', 'laes', 'increases', 'from', 'z31', 'to', '57', 'indicating', 'that', 'galaxies', 'with', 'lya', 'emission', 'are', 'more', 'common', 'at', 'earlier', 'epochs', 'we', 'identify', 'six', 'laes', 'with', 'agn', 'activities', 'from', 'our', 'spectra', 'combined', 'with', 'vla', 'spitzer', 'and', 'xmmnewton', 'data', 'among', 'the', 'photometrically', 'selected', 'laes', 'at', 'z31', 'and', '37', 'only', '1', 'show', 'agn', 'activities', 'while', 'the', 'brightest', 'laes', 'with', 'logllya', '434436', 'ergs', 'appear', 'to', 'always', 'host', 'agns', 'our', 'laes', 'are', 'bluer', 'in', 'uvcontinuum', 'color', 'than', 'dropout', 'galaxies', 'suggesting', 'lower', 'extinction', 'andor', 'younger', 'stellar', 'populations', 'our', 'stacking', 'analyses', 'provide', 'upper', 'limits', 'to', 'the', 'radio', 'luminosity', 'and', 'the', 'fheiiflya', 'line', 'fraction', 'and', 'constrain', 'the', 'hidden', 'star', 'formation', 'lowluminosity', 'agn', 'and', 'the', 'primordial', 'population', 'in', 'laes']] | [0.018499845855229444, 0.04961832526615569, -0.04406249824743478, 0.1534870144123683, -0.10739779852674435, -0.05650116606563522, 0.09379390624647585, 0.53423145290688, -0.005799286674044611, -0.3887651043628291, -0.012158822205793033, -0.3733602236764498, 0.014323243072412332, 0.19315536791566648, 0.03258661330275861, -0.048970617022157485, 0.017020584957458302, -0.212099418044465, 0.026099526985459, -0.3861705043249216, 0.25877238032827754, 0.03775839980485821, 0.1873912037122403, -0.06343414526744526, 0.10980055640579517, -0.11092646506339184, -0.15958575433311992, -0.0343253524822099, -0.18263791664359869, 0.009393820641292539, 0.30003910278451784, 0.15322374653864587, 0.27500948311497214, -0.26015312732925566, -0.15377347459659368, 0.06738858991662289, 0.2458488213042269, -0.008669907673833644, -0.010655736922230992, -0.3109616597458848, 0.06446210540520815, -0.13696064106528466, -0.11218054671352129, 0.16155432858039692, 0.03910565850386884, 0.06241284180887227, -0.1780040242945048, 0.18808008110662322, -0.07354742764693169, 0.15110308514163998, -0.1330644527066483, -0.12775767041777977, -0.11687505363172936, -0.0019051210571064457, -0.03427031330460514, 0.1092230922101833, 0.22422682820637452, -0.210608471532716, -0.02568463854243891, 0.34379162361581567, -0.059198382858483244, 0.12376544811630966, 0.21275134799830103, -0.25641480274798245, -0.24881609524023127, 0.18721676177481117, 0.15891008576365237, 0.08105869700756452, -0.15652045045975324, 0.0005762161464178575, -0.003832709296034897, 0.31251454637525805, -0.024311922905295127, 0.13451080249828315, 0.28701346553462387, 0.036235602921806276, 0.029437769498414253, 0.0862495172329151, -0.3010662875693819, 0.06727513355950429, -0.2578178735853617, -0.07053231923788977, -0.0737323477904736, 0.18518388342879744, -0.1957712984723069, -0.09816878661113619, 0.33513418009480694, 0.1513670671015754, 0.2529220251564352, 0.18402013932994282, 0.26061295057634937, 0.1029543074001778, 0.1565918136620894, 0.12214364085942027, 0.33221193938616006, 0.1764772085157171, 0.05682522293965656, -0.19266622856608093, -0.008271049318661267, -0.027814069562971337] |
707.3162 | Triple Higgs boson production in the Linear Collider | Triple Higgs boson production (3H) may provide essential information to
reconstruct the Higgs potential. We consider 3H-production in the International
Linear Collider (ILC) both in the Minimal Supersymmetric Standard Model (MSSM)
and in the general Two-Higgs-doublet Model (2HDM). We compute the total
cross-section for the various 3H final states, such as H^+ H^- h^0, H^0 A^0
h^0, etc. and compare with the more traditional double Higgs (2H) boson
production processes. While the cross-sections for the 2H final states lie
within the same order of magnitude in both the MSSM and 2HDM, we find that for
the 3H states the maximum 2HDM cross-sections, being of order 0.1 pb, are much
larger than the MSSM ones which in most cases are of order 10^{-6} pb or less.
Actually, the 3H processes could be the dominant mechanism for Higgs boson
production in the 2HDM. Ultimately the origin of the remarkable enhancement of
the 3H channels in the 2HDM case (for both type I and type II models)
originates in the structure of the trilinear Higgs boson couplings. The
extremely clean environment of the ILC should allow a relatively comfortable
tagging of the three Higgs boson events. In view of the fact that the MSSM
contribution is negligible, these events should manifest themselves mainly in
the form of 6 heavy-quark jet final states. Some of these signatures could be
spectacular, and in case of being detected would constitute strong evidence of
an extended Higgs sector of non-supersymmetric origin.
| hep-ph | triple higgs boson production 3h may provide essential information to reconstruct the higgs potential we consider 3hproduction in the international linear collider ilc both in the minimal supersymmetric standard model mssm and in the general twohiggsdoublet model 2hdm we compute the total crosssection for the various 3h final states such as h h h0 h0 a0 h0 etc and compare with the more traditional double higgs 2h boson production processes while the crosssections for the 2h final states lie within the same order of magnitude in both the mssm and 2hdm we find that for the 3h states the maximum 2hdm crosssections being of order 01 pb are much larger than the mssm ones which in most cases are of order 106 pb or less actually the 3h processes could be the dominant mechanism for higgs boson production in the 2hdm ultimately the origin of the remarkable enhancement of the 3h channels in the 2hdm case for both type i and type ii models originates in the structure of the trilinear higgs boson couplings the extremely clean environment of the ilc should allow a relatively comfortable tagging of the three higgs boson events in view of the fact that the mssm contribution is negligible these events should manifest themselves mainly in the form of 6 heavyquark jet final states some of these signatures could be spectacular and in case of being detected would constitute strong evidence of an extended higgs sector of nonsupersymmetric origin | [['triple', 'higgs', 'boson', 'production', '3h', 'may', 'provide', 'essential', 'information', 'to', 'reconstruct', 'the', 'higgs', 'potential', 'we', 'consider', '3hproduction', 'in', 'the', 'international', 'linear', 'collider', 'ilc', 'both', 'in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'and', 'in', 'the', 'general', 'twohiggsdoublet', 'model', '2hdm', 'we', 'compute', 'the', 'total', 'crosssection', 'for', 'the', 'various', '3h', 'final', 'states', 'such', 'as', 'h', 'h', 'h0', 'h0', 'a0', 'h0', 'etc', 'and', 'compare', 'with', 'the', 'more', 'traditional', 'double', 'higgs', '2h', 'boson', 'production', 'processes', 'while', 'the', 'crosssections', 'for', 'the', '2h', 'final', 'states', 'lie', 'within', 'the', 'same', 'order', 'of', 'magnitude', 'in', 'both', 'the', 'mssm', 'and', '2hdm', 'we', 'find', 'that', 'for', 'the', '3h', 'states', 'the', 'maximum', '2hdm', 'crosssections', 'being', 'of', 'order', '01', 'pb', 'are', 'much', 'larger', 'than', 'the', 'mssm', 'ones', 'which', 'in', 'most', 'cases', 'are', 'of', 'order', '106', 'pb', 'or', 'less', 'actually', 'the', '3h', 'processes', 'could', 'be', 'the', 'dominant', 'mechanism', 'for', 'higgs', 'boson', 'production', 'in', 'the', '2hdm', 'ultimately', 'the', 'origin', 'of', 'the', 'remarkable', 'enhancement', 'of', 'the', '3h', 'channels', 'in', 'the', '2hdm', 'case', 'for', 'both', 'type', 'i', 'and', 'type', 'ii', 'models', 'originates', 'in', 'the', 'structure', 'of', 'the', 'trilinear', 'higgs', 'boson', 'couplings', 'the', 'extremely', 'clean', 'environment', 'of', 'the', 'ilc', 'should', 'allow', 'a', 'relatively', 'comfortable', 'tagging', 'of', 'the', 'three', 'higgs', 'boson', 'events', 'in', 'view', 'of', 'the', 'fact', 'that', 'the', 'mssm', 'contribution', 'is', 'negligible', 'these', 'events', 'should', 'manifest', 'themselves', 'mainly', 'in', 'the', 'form', 'of', '6', 'heavyquark', 'jet', 'final', 'states', 'some', 'of', 'these', 'signatures', 'could', 'be', 'spectacular', 'and', 'in', 'case', 'of', 'being', 'detected', 'would', 'constitute', 'strong', 'evidence', 'of', 'an', 'extended', 'higgs', 'sector', 'of', 'nonsupersymmetric', 'origin']] | [-0.08716609462982604, 0.21100919101050233, -0.0065936899510185415, 0.1966097799662516, -0.05375348011495492, -0.19512511702379454, 0.01726258078728009, 0.32837124209690055, -0.19952738931289501, -0.2545148238452025, 0.03024087502829991, -0.30863890343886097, -0.008529223986506585, 0.13999366677565492, 0.05192473693942429, 0.05146808824990588, 0.0777891283402595, 0.03340136570726146, -0.05066850370010783, -0.2648436895489248, 0.2779096346233546, 0.03708873166407577, 0.18776904590956775, 0.06748138618207088, -0.005820217571094816, 0.013100968321225771, -0.002302060965252197, -0.1037933442064654, -0.09632615033958017, 0.10348008405666323, 0.2105032435860783, 0.07870571966064566, 0.12135863178141354, -0.3562307030579589, -0.13233463717250865, 0.19537401553664985, 0.1750524356839565, 0.099310739963783, -0.05502684015730145, -0.30637345777502584, 0.09515457034950363, -0.23078921015293877, -0.09414123004846613, -0.028824910166991468, -0.020460259255573706, -0.10349523367330532, -0.30454754564885256, 0.07689558995270589, -0.018957738883394762, 0.027680907803760084, -0.023470922858059528, -0.18605970865529445, -0.1156105381017934, -0.0005852830828140669, 0.1338008099341949, 0.008698167244390174, 0.17660674902537662, -0.21656146906546236, -0.171267777905558, 0.4361700787162983, -0.10327554306518641, -0.1488344545136953, 0.18683588786870856, -0.22071784874472247, -0.15774071348137356, 0.14769550875967574, 0.2144699149678601, 0.07945613232929903, -0.1715236266448791, 0.18617605776961993, 0.006013784939883116, 0.13930499282140485, 0.023420108228331668, 0.08636400936417657, 0.21722007185410433, 0.1836270311705523, 0.034033147381990383, 0.054752107009237994, -0.11340477336351396, -0.08699600804173636, -0.4567649341035067, -0.18002113454003624, -0.010750372232984246, 0.029445377808953385, -0.08979166868168414, -0.10619024706596256, 0.3785816864330904, 0.11057703745687465, 0.26042054999292036, -0.034982581598465734, 0.24749933139309901, 0.07761239897629338, 0.0972618716613146, -0.005639495622430623, 0.3621892122703426, 0.1259368465899072, 0.10283225454694742, -0.1860608006056222, 0.05482973037057637, 0.059063630707469984] |
707.3163 | Intersection probabilities for a chordal SLE path and a semicircle | We derive a number of estimates for the probability that a chordal SLE path
in the upper half plane H intersects a semicircle centred on the real line. We
prove that if 0<kappa<8 and gamma:[0,infinity) to closure(H) is a chordal SLE
in H from 0 to infinity, then P(gamma[0,infinity) cap C(x;rx) neq emptyset)
asymp r^(4a-1) where a=2/kappa and C(x;rx) denotes the semicircle centred at
x>0 of radius rx, 0<r<1/3, in the upper half plane. As an application of our
results, for 0<kappa<8, we derive an estimate for the diameter of a chordal SLE
path in H between two real boundary points 0 and x>0. For 4<kappa<8, we also
estimate the probability that an entire semicircle on the real line is
swallowed at once by a chordal SLE path in H from 0 to infinity.
| math.PR | we derive a number of estimates for the probability that a chordal sle path in the upper half plane h intersects a semicircle centred on the real line we prove that if 0kappa8 and gamma0infinity to closureh is a chordal sle in h from 0 to infinity then pgamma0infinity cap cxrx neq emptyset asymp r4a1 where a2kappa and cxrx denotes the semicircle centred at x0 of radius rx 0r13 in the upper half plane as an application of our results for 0kappa8 we derive an estimate for the diameter of a chordal sle path in h between two real boundary points 0 and x0 for 4kappa8 we also estimate the probability that an entire semicircle on the real line is swallowed at once by a chordal sle path in h from 0 to infinity | [['we', 'derive', 'a', 'number', 'of', 'estimates', 'for', 'the', 'probability', 'that', 'a', 'chordal', 'sle', 'path', 'in', 'the', 'upper', 'half', 'plane', 'h', 'intersects', 'a', 'semicircle', 'centred', 'on', 'the', 'real', 'line', 'we', 'prove', 'that', 'if', '0kappa8', 'and', 'gamma0infinity', 'to', 'closureh', 'is', 'a', 'chordal', 'sle', 'in', 'h', 'from', '0', 'to', 'infinity', 'then', 'pgamma0infinity', 'cap', 'cxrx', 'neq', 'emptyset', 'asymp', 'r4a1', 'where', 'a2kappa', 'and', 'cxrx', 'denotes', 'the', 'semicircle', 'centred', 'at', 'x0', 'of', 'radius', 'rx', '0r13', 'in', 'the', 'upper', 'half', 'plane', 'as', 'an', 'application', 'of', 'our', 'results', 'for', '0kappa8', 'we', 'derive', 'an', 'estimate', 'for', 'the', 'diameter', 'of', 'a', 'chordal', 'sle', 'path', 'in', 'h', 'between', 'two', 'real', 'boundary', 'points', '0', 'and', 'x0', 'for', '4kappa8', 'we', 'also', 'estimate', 'the', 'probability', 'that', 'an', 'entire', 'semicircle', 'on', 'the', 'real', 'line', 'is', 'swallowed', 'at', 'once', 'by', 'a', 'chordal', 'sle', 'path', 'in', 'h', 'from', '0', 'to', 'infinity']] | [-0.11587897518277168, 0.0913879908019444, -0.06578216423653066, 0.01539051835052669, -0.06496235566772521, -0.1531735309883952, 0.07350726014375687, 0.3838823226541281, -0.2657213405109942, -0.16288917346671222, 0.12621947213169188, -0.3499067853987217, -0.08141624266747385, 0.17955535087920727, -0.033004960954189304, 0.0004064710489474237, 0.025922240741550924, 0.10014129317179322, -0.026825337952002884, -0.19630151486955583, 0.2797048004567623, -0.04075255727022886, 0.14755725123733282, 0.06399807998910546, 0.07699995380546898, 0.03861199845373631, 0.06005594320222735, -0.007097747519612312, -0.27180125793715704, 0.02714629311487079, 0.19551116648316383, 0.13307393334247172, 0.2463714235946536, -0.3343330780118704, -0.11051378340274096, 0.15531219682097436, 0.19248059898614883, -0.03298002385348082, 0.034037788849323986, -0.24629094646126032, 0.1138192854821682, -0.03297476150095463, -0.2357821884788573, 0.09243727429956197, 0.1272480640858412, 0.00845956190675497, -0.29733014331012964, 0.041297658076277, 0.10801333842426539, 0.06015461179194972, -0.030929010063409805, -0.13900168622285128, -0.07814167539589106, 0.09596715502813459, -0.017504294496029617, 0.09335803788155317, 0.06087911260128021, -0.08449990908056497, -0.0792393149919808, 0.3176660892814398, -0.09343233822286129, -0.1903129967227578, 0.09461616633087397, -0.2536658880189061, -0.16822224538773298, 0.13001719623804092, 0.11950507197529077, 0.17242148275673388, -0.0739915232360363, 0.20355833503091708, -0.09106514017470181, 0.11512949660420418, 0.10678926330059767, -0.06052463142946363, 0.15407774176768727, 0.0641742078140378, 0.17041094981878996, 0.1573109798748046, -0.14381773201562464, -0.044102535218000415, -0.3824693294763565, -0.21563575922697784, -0.25109770824201405, 0.11731978853046894, -0.1801330251354957, -0.1870837954953313, 0.30904401345551014, 0.13178034440800548, 0.2767345093004405, 0.14821088442206382, 0.2282782776504755, 0.1214737301543355, -0.02245106389373541, 0.16305019994080067, 0.14331441163271666, 0.1601888339687139, 0.019316965989768505, -0.1566624322235584, 0.0210023295506835, 0.08535062498599291] |
707.3164 | The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative
Fourier-Jacobi Algebra | Lichnerowicz's algebra of differential geometric operators acting on
symmetric tensors can be obtained from generalized geodesic motion of an
observer carrying a complex tangent vector. This relation is based upon
quantizing the classical evolution equations, and identifying wavefunctions
with sections of the symmetric tensor bundle and Noether charges with geometric
operators. In general curved spaces these operators obey a deformation of the
Fourier-Jacobi Lie algebra of sp(2,R). These results have already been
generalized by the authors to arbitrary tensor and spinor bundles using
supersymmetric quantum mechanical models and have also been applied to the
theory of higher spin particles. These Proceedings review these results in
their simplest, symmetric tensor setting. New results on a novel and extremely
useful reformulation of the rank 2 deformation of the Fourier-Jacobi Lie
algebra in terms of an associative algebra are also presented. This new algebra
was originally motivated by studies of operator orderings in enveloping
algebras. It provides a new method that is superior in many respects to common
techniques such as Weyl or normal ordering.
| math.DG gr-qc hep-th math.RT | lichnerowiczs algebra of differential geometric operators acting on symmetric tensors can be obtained from generalized geodesic motion of an observer carrying a complex tangent vector this relation is based upon quantizing the classical evolution equations and identifying wavefunctions with sections of the symmetric tensor bundle and noether charges with geometric operators in general curved spaces these operators obey a deformation of the fourierjacobi lie algebra of sp2r these results have already been generalized by the authors to arbitrary tensor and spinor bundles using supersymmetric quantum mechanical models and have also been applied to the theory of higher spin particles these proceedings review these results in their simplest symmetric tensor setting new results on a novel and extremely useful reformulation of the rank 2 deformation of the fourierjacobi lie algebra in terms of an associative algebra are also presented this new algebra was originally motivated by studies of operator orderings in enveloping algebras it provides a new method that is superior in many respects to common techniques such as weyl or normal ordering | [['lichnerowiczs', 'algebra', 'of', 'differential', 'geometric', 'operators', 'acting', 'on', 'symmetric', 'tensors', 'can', 'be', 'obtained', 'from', 'generalized', 'geodesic', 'motion', 'of', 'an', 'observer', 'carrying', 'a', 'complex', 'tangent', 'vector', 'this', 'relation', 'is', 'based', 'upon', 'quantizing', 'the', 'classical', 'evolution', 'equations', 'and', 'identifying', 'wavefunctions', 'with', 'sections', 'of', 'the', 'symmetric', 'tensor', 'bundle', 'and', 'noether', 'charges', 'with', 'geometric', 'operators', 'in', 'general', 'curved', 'spaces', 'these', 'operators', 'obey', 'a', 'deformation', 'of', 'the', 'fourierjacobi', 'lie', 'algebra', 'of', 'sp2r', 'these', 'results', 'have', 'already', 'been', 'generalized', 'by', 'the', 'authors', 'to', 'arbitrary', 'tensor', 'and', 'spinor', 'bundles', 'using', 'supersymmetric', 'quantum', 'mechanical', 'models', 'and', 'have', 'also', 'been', 'applied', 'to', 'the', 'theory', 'of', 'higher', 'spin', 'particles', 'these', 'proceedings', 'review', 'these', 'results', 'in', 'their', 'simplest', 'symmetric', 'tensor', 'setting', 'new', 'results', 'on', 'a', 'novel', 'and', 'extremely', 'useful', 'reformulation', 'of', 'the', 'rank', '2', 'deformation', 'of', 'the', 'fourierjacobi', 'lie', 'algebra', 'in', 'terms', 'of', 'an', 'associative', 'algebra', 'are', 'also', 'presented', 'this', 'new', 'algebra', 'was', 'originally', 'motivated', 'by', 'studies', 'of', 'operator', 'orderings', 'in', 'enveloping', 'algebras', 'it', 'provides', 'a', 'new', 'method', 'that', 'is', 'superior', 'in', 'many', 'respects', 'to', 'common', 'techniques', 'such', 'as', 'weyl', 'or', 'normal', 'ordering']] | [-0.12151737689977339, 0.12052083354653807, -0.0842817744299726, 0.042940652395901814, -0.16909215375808131, -0.12585928606215951, -0.07888383082950726, 0.3387287811072933, -0.2786393747989868, -0.23188693840821478, 0.11240896047566758, -0.24296895146023395, -0.20398942023098773, 0.1712696459455697, -0.09757971896540893, 0.029917330166384534, 0.020515725574304543, 0.08781111531154534, -0.15459668685866215, -0.24386470636074042, 0.40308953347334336, 0.039149770566646744, 0.2795704700767474, 0.021131886113814058, 0.13337259213061092, 0.021547143130974715, -0.029081745170663264, 0.03402788508791736, -0.0957384967818524, 0.15407349293250158, 0.26918147710588275, 0.06426054392419288, 0.1696368076318745, -0.4322342930773143, -0.16050378926000883, 0.1112297207704572, 0.1407336755818146, 0.07431765388545775, -0.047881860789053717, -0.3118458665192647, 0.07221849437878836, -0.21321772390619181, -0.13376013427258057, -0.13879887482996078, 0.03891486900135723, -0.009341602514194714, -0.21259673910897744, 0.07807865476020515, 0.09073773999448032, 0.09742441764209679, -0.12369106914631503, -0.13318953312375734, -0.04567885398594013, 0.05579445643085163, -0.0017529432810734697, 0.01112847241876257, 0.12075492314947633, -0.08836656718969692, -0.1976832335159659, 0.36455908825696814, -0.02722280525039275, -0.2877915720563642, 0.13774366533724852, -0.13807715530281203, -0.16895243351694283, 0.07854985006473049, 0.13013980046001283, 0.17071514924582729, -0.1239931482488701, 0.15448914307574363, -0.07928070481352205, 0.03137267696695554, 0.0689580081312289, 0.020188294439427663, 0.18358700658833652, 0.07919039888047548, 0.03421266492000012, 0.10977350287261246, 0.04908220883902856, -0.11978671542906234, -0.35041752877796806, -0.2003235153550672, -0.12254454082197531, 0.10248741547463375, -0.11349396120313877, -0.1524134393859936, 0.3938478581325779, 0.10261054552359193, 0.17398395392398058, 0.022447410962804285, 0.21104685033991022, 0.13209461963256322, 0.13664678366026342, 0.03004824779223824, 0.21950632401777237, 0.25821546206066687, 0.058807566263821234, -0.1417647396995372, -0.052758276492335596, 0.1737085486529395] |
707.3165 | Extinction Corrected Star Formation Rates Empirically Derived from
Ultraviolet-Optical Colors | Using a sample of galaxies from the Sloan Digital Sky Survey spectroscopic
catalog with measured star-formation rates (SFRs) and ultraviolet (UV)
photometry from the GALEX Medium Imaging Survey, we derived empirical linear
correlations between the SFR to UV luminosity ratio and the UV-optical colors
of blue sequence galaxies. The relations provide a simple prescription to
correct UV data for dust attenuation that best reconciles the SFRs derived from
UV and emission line data. The method breaks down for the red sequence
population as well as for very blue galaxies such as the local ``supercompact''
UV luminous galaxies and the majority of high redshift Lyman Break Galaxies
which form a low attenuation sequence of their own.
| astro-ph | using a sample of galaxies from the sloan digital sky survey spectroscopic catalog with measured starformation rates sfrs and ultraviolet uv photometry from the galex medium imaging survey we derived empirical linear correlations between the sfr to uv luminosity ratio and the uvoptical colors of blue sequence galaxies the relations provide a simple prescription to correct uv data for dust attenuation that best reconciles the sfrs derived from uv and emission line data the method breaks down for the red sequence population as well as for very blue galaxies such as the local supercompact uv luminous galaxies and the majority of high redshift lyman break galaxies which form a low attenuation sequence of their own | [['using', 'a', 'sample', 'of', 'galaxies', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'spectroscopic', 'catalog', 'with', 'measured', 'starformation', 'rates', 'sfrs', 'and', 'ultraviolet', 'uv', 'photometry', 'from', 'the', 'galex', 'medium', 'imaging', 'survey', 'we', 'derived', 'empirical', 'linear', 'correlations', 'between', 'the', 'sfr', 'to', 'uv', 'luminosity', 'ratio', 'and', 'the', 'uvoptical', 'colors', 'of', 'blue', 'sequence', 'galaxies', 'the', 'relations', 'provide', 'a', 'simple', 'prescription', 'to', 'correct', 'uv', 'data', 'for', 'dust', 'attenuation', 'that', 'best', 'reconciles', 'the', 'sfrs', 'derived', 'from', 'uv', 'and', 'emission', 'line', 'data', 'the', 'method', 'breaks', 'down', 'for', 'the', 'red', 'sequence', 'population', 'as', 'well', 'as', 'for', 'very', 'blue', 'galaxies', 'such', 'as', 'the', 'local', 'supercompact', 'uv', 'luminous', 'galaxies', 'and', 'the', 'majority', 'of', 'high', 'redshift', 'lyman', 'break', 'galaxies', 'which', 'form', 'a', 'low', 'attenuation', 'sequence', 'of', 'their', 'own']] | [0.054246241631715195, 0.03559384258949886, -0.07221872412154208, 0.1591389741586602, -0.12878731055711598, -0.02669567793364758, 0.11016241793581487, 0.5346089198213556, -0.10267392309868466, -0.3366733074512171, 0.02775677388695919, -0.3417775896823277, -0.006754587351789941, 0.2065863866872425, -0.06895380122587084, -0.012738931014040566, -0.004061958564283407, -0.2086571186393722, 0.01931924139182387, -0.2991895050296317, 0.2870296852217744, 0.03827516127215779, 0.2197641700344241, -0.12298557917061059, 0.06932579096933097, -0.09615094191597208, -0.16444752373044258, -0.05112037410068771, -0.17284497354494702, -0.011093852859061292, 0.27554469599145587, 0.19438210541139478, 0.22512577949496715, -0.29819821133044216, -0.18591021881641254, 0.10974214990299357, 0.21570963789101527, 0.049323148040465364, -0.11016208687392266, -0.2529862089507768, 0.008922646032727284, -0.14290042674351158, -0.15726062215702688, 0.10491120789362036, 0.025461377861464154, 0.07588617737688448, -0.23796267590445022, 0.17632283840895346, -0.025415517985010926, 0.16784486830963388, -0.11710140645989905, -0.05390993387478849, -0.17371729847408182, 0.12792197864745622, -0.002031542873010039, 0.10664630590573601, 0.20342841804756417, -0.22159687460440655, 0.05300299171358347, 0.40294960111217654, -0.10942561644757086, 0.13734189864733945, 0.20828698654456632, -0.19062363167050417, -0.15523138415756757, 0.14882119256071746, 0.12154752755861567, 0.10143696604924196, -0.22377671186366807, 0.004754206874539427, -0.009763226937502622, 0.2386085782362067, 0.026980763126124182, 0.18710307056975106, 0.3251978874530481, 0.019808010691169487, 0.042702014255337414, 0.07680746051584086, -0.2441211053200633, 0.05753254603756511, -0.27175983556586764, -0.02139781793255521, -0.16755067338336907, 0.15098142193265907, -0.19130155352177097, -0.12223757601788511, 0.3131438650008615, 0.10438958964533294, 0.27884026101547416, 0.22118762789962246, 0.3689912828900244, 0.09854769001046762, 0.16461069923015717, 0.04190924797693024, 0.2930230480416314, 0.16075151512176608, 0.07658373696486587, -0.2570084572020594, -0.007538542800339992, 0.052127432361569095] |
707.3166 | Conformal Windows of SU(N) Gauge Theories, Higher Dimensional
Representations and The Size of The Unparticle World | We present the conformal windows of SU(N) supersymmetric and
nonsupersymmetric gauge theories with vector-like matter transforming according
to higher irreducible representations of the gauge group. We determine the
fraction of asymptotically free theories expected to develop an infrared fixed
point and find that it does not depend on the specific choice of the
representation. This result is exact in supersymmetric theories while it is an
approximate one in the nonsupersymmetric case. The analysis allows us to size
the unparticle world related to the existence of underlying gauge theories
developing an infrared stable fixed point. We find that exactly 50 % of the
asymptotically free theories can develop an infrared fixed point while for the
nonsupersymmetric theories it is circa 25 %. When considering multiple
representations, only for the nonsupersymmetric case, the conformal regions
quickly dominate over the nonconformal ones. For four representations, 70 % of
the asymptotically free space is filled by the conformal region.
According to our theoretical landscape survey the unparticle physics world
occupies a sizable amount of the particle world, at least in theory space, and
before mixing it (at the operator level) with the nonconformal one.
| hep-th hep-lat hep-ph | we present the conformal windows of sun supersymmetric and nonsupersymmetric gauge theories with vectorlike matter transforming according to higher irreducible representations of the gauge group we determine the fraction of asymptotically free theories expected to develop an infrared fixed point and find that it does not depend on the specific choice of the representation this result is exact in supersymmetric theories while it is an approximate one in the nonsupersymmetric case the analysis allows us to size the unparticle world related to the existence of underlying gauge theories developing an infrared stable fixed point we find that exactly 50 of the asymptotically free theories can develop an infrared fixed point while for the nonsupersymmetric theories it is circa 25 when considering multiple representations only for the nonsupersymmetric case the conformal regions quickly dominate over the nonconformal ones for four representations 70 of the asymptotically free space is filled by the conformal region according to our theoretical landscape survey the unparticle physics world occupies a sizable amount of the particle world at least in theory space and before mixing it at the operator level with the nonconformal one | [['we', 'present', 'the', 'conformal', 'windows', 'of', 'sun', 'supersymmetric', 'and', 'nonsupersymmetric', 'gauge', 'theories', 'with', 'vectorlike', 'matter', 'transforming', 'according', 'to', 'higher', 'irreducible', 'representations', 'of', 'the', 'gauge', 'group', 'we', 'determine', 'the', 'fraction', 'of', 'asymptotically', 'free', 'theories', 'expected', 'to', 'develop', 'an', 'infrared', 'fixed', 'point', 'and', 'find', 'that', 'it', 'does', 'not', 'depend', 'on', 'the', 'specific', 'choice', 'of', 'the', 'representation', 'this', 'result', 'is', 'exact', 'in', 'supersymmetric', 'theories', 'while', 'it', 'is', 'an', 'approximate', 'one', 'in', 'the', 'nonsupersymmetric', 'case', 'the', 'analysis', 'allows', 'us', 'to', 'size', 'the', 'unparticle', 'world', 'related', 'to', 'the', 'existence', 'of', 'underlying', 'gauge', 'theories', 'developing', 'an', 'infrared', 'stable', 'fixed', 'point', 'we', 'find', 'that', 'exactly', '50', 'of', 'the', 'asymptotically', 'free', 'theories', 'can', 'develop', 'an', 'infrared', 'fixed', 'point', 'while', 'for', 'the', 'nonsupersymmetric', 'theories', 'it', 'is', 'circa', '25', 'when', 'considering', 'multiple', 'representations', 'only', 'for', 'the', 'nonsupersymmetric', 'case', 'the', 'conformal', 'regions', 'quickly', 'dominate', 'over', 'the', 'nonconformal', 'ones', 'for', 'four', 'representations', '70', 'of', 'the', 'asymptotically', 'free', 'space', 'is', 'filled', 'by', 'the', 'conformal', 'region', 'according', 'to', 'our', 'theoretical', 'landscape', 'survey', 'the', 'unparticle', 'physics', 'world', 'occupies', 'a', 'sizable', 'amount', 'of', 'the', 'particle', 'world', 'at', 'least', 'in', 'theory', 'space', 'and', 'before', 'mixing', 'it', 'at', 'the', 'operator', 'level', 'with', 'the', 'nonconformal', 'one']] | [-0.06758703141383587, 0.18940103019215415, -0.09248193130023183, 0.10126832523943488, -0.0670663603683585, -0.1452597528272732, 0.02059515844594767, 0.32158580127565617, -0.192201470966167, -0.28665469429470636, 0.0776523823910866, -0.29682862409149274, -0.12132993529993981, 0.11741029667819945, -0.03476851408255914, 0.011957995424216444, -0.02565232536352095, 0.07579225994009066, -0.07097953247444276, -0.28672450181734277, 0.31503265177367884, 0.05434879847368933, 0.28068668013787207, 0.027561343656006185, 0.0995789826492764, 0.014467358912894114, -0.018375961175362734, -0.031417279258724624, -0.11634355983959901, 0.10359787645520652, 0.25810426149895804, 0.09283338479677783, 0.1929585337284006, -0.3840541627736174, -0.2159866962449894, 0.14303522123731074, 0.16562647377269998, 0.11220695329755345, -0.005858803446215383, -0.2537324731599261, 0.10018387168426723, -0.1575270415766832, -0.17839967236570256, -0.06428228030080863, -0.010433880729292007, -0.13427508277332978, -0.23993753524556916, 0.01998103277030635, -0.017734735252903425, 0.0391151814666741, -0.06936156541204956, -0.07528179600326852, -0.061751487718416966, 0.107067467230976, 0.11762557244289387, 0.0561359444476557, 0.15424253479303682, -0.19813437188009328, -0.1024781627291664, 0.3855343910511882, -0.06285286013206298, -0.21441060034707587, 0.2103241785070834, -0.17374124495252807, -0.1665346030703681, 0.1519266843595318, 0.09834832964305651, 0.14836804414128157, -0.10306394583694102, 0.2103902361306541, -0.0674725774806964, 0.14860027740920526, 0.06610580704070348, 0.03185190334866311, 0.27453282138053825, 0.11761481921128769, 0.10766629396407382, 0.11576475814124321, -0.03019968898130212, -0.15230877570718288, -0.4063621358177127, -0.13013985934405822, -0.11368992203662301, 0.05647632772332359, -0.15628258896380587, -0.18238724535268877, 0.3854373873206463, 0.1528411951716952, 0.16059008493825275, 0.08283992573857944, 0.2039475420858452, 0.10101105262809258, 0.09872983461544714, 0.09003590027936162, 0.24816646845015214, 0.08927519550113715, 0.0690535286704158, -0.19914839074842353, -0.0890842593252599, 0.11993749016387896] |
707.3167 | Rational Tate classes | In despair, as Deligne (2000) put it, of proving the Hodge and Tate
conjectures, we can try to find substitutes. For abelian varieties in
characteristic zero, Deligne (1982) constructed a theory of Hodge classes
having many of the properties that the algebraic classes would have if the
Hodge conjecture were known. In this article I investigate whether there exists
a theory of "rational Tate classes" on varieties over finite fields having the
properties that the algebraic classes would have if the Hodge and Tate
conjectures were known. v3. Submitted version.
| math.AG math.NT | in despair as deligne 2000 put it of proving the hodge and tate conjectures we can try to find substitutes for abelian varieties in characteristic zero deligne 1982 constructed a theory of hodge classes having many of the properties that the algebraic classes would have if the hodge conjecture were known in this article i investigate whether there exists a theory of rational tate classes on varieties over finite fields having the properties that the algebraic classes would have if the hodge and tate conjectures were known v3 submitted version | [['in', 'despair', 'as', 'deligne', '2000', 'put', 'it', 'of', 'proving', 'the', 'hodge', 'and', 'tate', 'conjectures', 'we', 'can', 'try', 'to', 'find', 'substitutes', 'for', 'abelian', 'varieties', 'in', 'characteristic', 'zero', 'deligne', '1982', 'constructed', 'a', 'theory', 'of', 'hodge', 'classes', 'having', 'many', 'of', 'the', 'properties', 'that', 'the', 'algebraic', 'classes', 'would', 'have', 'if', 'the', 'hodge', 'conjecture', 'were', 'known', 'in', 'this', 'article', 'i', 'investigate', 'whether', 'there', 'exists', 'a', 'theory', 'of', 'rational', 'tate', 'classes', 'on', 'varieties', 'over', 'finite', 'fields', 'having', 'the', 'properties', 'that', 'the', 'algebraic', 'classes', 'would', 'have', 'if', 'the', 'hodge', 'and', 'tate', 'conjectures', 'were', 'known', 'v3', 'submitted', 'version']] | [-0.15597642927120128, 0.06787129675762521, -0.1894986467772267, 0.12476869905755544, -0.11443834654572937, -0.1705197007033146, -0.03603121101494051, 0.2943086790839314, -0.34820042175965177, -0.26256710125340355, 0.09631647086417716, -0.19333363479365492, -0.13982037865142855, 0.19219903582707049, -0.2114180953345365, -0.0558731731855207, -0.002489645111684998, 0.08986412154303657, -0.06192534213057822, -0.4208671786925859, 0.4187397038460606, -0.07314513562661078, 0.23001636382606294, 0.09878960773866209, 0.04980100790659587, -0.021426099569847187, -0.018859136565071013, -0.04944978290134006, -0.1502539552187146, 0.12542523250190749, 0.36739132590591905, 0.07444894374348224, 0.22606512003888687, -0.41005794153445296, -0.1358000060258847, 0.23078534978493634, 0.056386434230242026, 0.05324926462231411, 0.015693185678941922, -0.21533394364847078, 0.12257453066607317, -0.1538944272324443, -0.20196116839845976, -0.11210659138030477, 0.10993796687883635, 0.0437023157460822, -0.16338597348787717, -0.041506995788464944, 0.07417562253799083, 0.18119054195315887, -0.10064807593201598, -0.15654396930864703, -0.06964350598346856, 0.031288486181033984, 0.04803177040691177, 0.0026322807748025904, 0.03669163199245102, -0.12042065667661114, -0.16972580518470043, 0.3456536619975749, -0.03314604825443691, -0.1339437187028428, 0.15030100592929457, -0.12257821046643787, -0.2299766122880909, 0.09108745761008727, 0.018289763232072195, 0.14865936737300622, 0.03590292907837364, 0.1740368850205818, -0.21870852851619324, 0.06875239072315809, 0.17650843678663175, -0.012698127458699875, 0.16050656212286818, 0.015259746079229647, -0.024204341027911545, 0.1208462290207131, -0.03146887343739056, -0.046690335402672645, -0.3230854603565402, -0.1736893599335518, -0.07944672752120015, 0.1819468066199786, -0.04179721745733534, -0.18117154354953932, 0.413449617392487, 0.08209585357819581, 0.1045320441842907, 0.13974653013671437, 0.1654537321934994, 0.039073574624489994, 0.07039831288986736, 0.06450074695361158, 0.1856265081351416, 0.2803571009542793, 0.014342868181928578, -0.07541181921195757, 0.03700036071758303, 0.20192574985428816] |
707.3168 | Wormholes in Maximal Supergravity | In this brief note, we reconsider the problem of finding Euclidean wormhole
solutions to maximal supergravity in d dimensions. We find that such solutions
exists for all d less than or equal to 9. However, we argue that, in
toroidally-compactified string theories, these saddle points never contribute
to the path integral because of a tension with U-duality.
| hep-th | in this brief note we reconsider the problem of finding euclidean wormhole solutions to maximal supergravity in d dimensions we find that such solutions exists for all d less than or equal to 9 however we argue that in toroidallycompactified string theories these saddle points never contribute to the path integral because of a tension with uduality | [['in', 'this', 'brief', 'note', 'we', 'reconsider', 'the', 'problem', 'of', 'finding', 'euclidean', 'wormhole', 'solutions', 'to', 'maximal', 'supergravity', 'in', 'd', 'dimensions', 'we', 'find', 'that', 'such', 'solutions', 'exists', 'for', 'all', 'd', 'less', 'than', 'or', 'equal', 'to', '9', 'however', 'we', 'argue', 'that', 'in', 'toroidallycompactified', 'string', 'theories', 'these', 'saddle', 'points', 'never', 'contribute', 'to', 'the', 'path', 'integral', 'because', 'of', 'a', 'tension', 'with', 'uduality']] | [-0.17033342335240118, 0.10008792278157282, -0.05450749530323914, 0.09192240803843431, -0.06932587361994333, -0.16738011339579575, 0.04972156069041895, 0.31604410339579253, -0.19844919848921044, -0.2691068496288998, 0.09368643946488321, -0.33784338153366533, -0.19719710332823784, 0.13209852762104543, -0.11479990832075211, 0.008548243869362133, 0.03813732520211488, 0.06347772818324822, -0.108399089294835, -0.2949798677582294, 0.35607139026147444, -0.04752088976757867, 0.2029763368357505, 0.054437132585397716, 0.0772637148953176, -0.035747097144069685, -0.013455669221002609, 0.056139130378142, -0.19238512052236598, 0.11263026190447688, 0.26840235583949834, 0.12860280473250896, 0.1881940814533404, -0.4499797556948449, -0.20613160180593176, 0.1990774091183474, 0.23385671602695116, 0.14385040385449038, 0.006258682805180017, -0.17334285072450126, 0.12882619237020013, -0.13195392657403968, -0.1873231502249837, -0.036702718485945036, 0.13553197027483424, -0.09782363956037443, -0.18062783769398397, 0.07014490355296792, 0.029919083030628308, 0.03711448465141335, -0.09301262806236212, -0.102888850927619, 0.009138223540503532, 0.022627755313546265, 0.16031179041601717, 0.09990090406167187, 0.033880603042364656, -0.1579567448892963, -0.13104184617155365, 0.3719542821470116, -0.023154530895875984, -0.24257736211542838, 0.1668402477537581, -0.18088444694045133, -0.16393103857990354, 0.09958248080718997, 0.08010389100568968, 0.17352685292384454, -0.13333881553262472, 0.12887295486871153, -0.0344607370706009, 0.1330682288389653, 0.14820884598884732, 0.0452563486427867, 0.23163936200229987, 0.08451406710914203, 0.15058293538563053, 0.12261012563249096, 0.003494527839523341, -0.10435405865012269, -0.3877876644421901, -0.15074816483372291, -0.11268086177837436, 0.13660840331327304, -0.12005491615439366, -0.1854071674835203, 0.3125439399986395, 0.17816933036998048, 0.1900659265395786, 0.08715926574742687, 0.17959903793234844, 0.0822457235605855, 0.06574957794366908, 0.14813684324534343, 0.2736919918929094, 0.030967412599628524, 0.05137702872577522, -0.18855538505262562, -0.08338987813996417, 0.12323336052109621] |
707.3169 | Traces on operator ideals and arithmetic means | This article - a part of a multipaper project investigating arithmetic mean
ideals - investigates the codimension of commutator spaces [I, B(H)] of
operator ideals on a separable Hilbert space, i.e., ``How many traces can an
ideal support?" We conjecture that the codimension can be only zero, one, or
infinity. Using the arithmetic mean (am) operations on ideals introduced by
Dykema, Figiel, Weiss, and Wodzicki, and the analogous am operations at
infinity that we develop in this article, the conjecture is proven for all
ideals not contained in the largest am-infinity stable ideal and not containing
the smallest am-stable ideal. It is also proven for all soft-edged ideals
(i.e., I= IK(H)) and all soft-complemented ideals (i.e., I= I/K(H)), which
include many classical operator ideals. In the process, we prove that an ideal
of trace class operators supports a unique trace (up to scalar multiples) if
and only if it is am-infinity stable and that, for a principal ideal,
am-infinity stability is equivalent to regularity at infinity of the sequence
of s-numbers of the generator. Furthermore, we apply trace extension methods to
two problems on elementary operators studied by V. Shulman and to
Fuglede-Putnam type problems of the second author.
| math.FA math.OA | this article a part of a multipaper project investigating arithmetic mean ideals investigates the codimension of commutator spaces i bh of operator ideals on a separable hilbert space ie how many traces can an ideal support we conjecture that the codimension can be only zero one or infinity using the arithmetic mean am operations on ideals introduced by dykema figiel weiss and wodzicki and the analogous am operations at infinity that we develop in this article the conjecture is proven for all ideals not contained in the largest aminfinity stable ideal and not containing the smallest amstable ideal it is also proven for all softedged ideals ie i ikh and all softcomplemented ideals ie i ikh which include many classical operator ideals in the process we prove that an ideal of trace class operators supports a unique trace up to scalar multiples if and only if it is aminfinity stable and that for a principal ideal aminfinity stability is equivalent to regularity at infinity of the sequence of snumbers of the generator furthermore we apply trace extension methods to two problems on elementary operators studied by v shulman and to fugledeputnam type problems of the second author | [['this', 'article', 'a', 'part', 'of', 'a', 'multipaper', 'project', 'investigating', 'arithmetic', 'mean', 'ideals', 'investigates', 'the', 'codimension', 'of', 'commutator', 'spaces', 'i', 'bh', 'of', 'operator', 'ideals', 'on', 'a', 'separable', 'hilbert', 'space', 'ie', 'how', 'many', 'traces', 'can', 'an', 'ideal', 'support', 'we', 'conjecture', 'that', 'the', 'codimension', 'can', 'be', 'only', 'zero', 'one', 'or', 'infinity', 'using', 'the', 'arithmetic', 'mean', 'am', 'operations', 'on', 'ideals', 'introduced', 'by', 'dykema', 'figiel', 'weiss', 'and', 'wodzicki', 'and', 'the', 'analogous', 'am', 'operations', 'at', 'infinity', 'that', 'we', 'develop', 'in', 'this', 'article', 'the', 'conjecture', 'is', 'proven', 'for', 'all', 'ideals', 'not', 'contained', 'in', 'the', 'largest', 'aminfinity', 'stable', 'ideal', 'and', 'not', 'containing', 'the', 'smallest', 'amstable', 'ideal', 'it', 'is', 'also', 'proven', 'for', 'all', 'softedged', 'ideals', 'ie', 'i', 'ikh', 'and', 'all', 'softcomplemented', 'ideals', 'ie', 'i', 'ikh', 'which', 'include', 'many', 'classical', 'operator', 'ideals', 'in', 'the', 'process', 'we', 'prove', 'that', 'an', 'ideal', 'of', 'trace', 'class', 'operators', 'supports', 'a', 'unique', 'trace', 'up', 'to', 'scalar', 'multiples', 'if', 'and', 'only', 'if', 'it', 'is', 'aminfinity', 'stable', 'and', 'that', 'for', 'a', 'principal', 'ideal', 'aminfinity', 'stability', 'is', 'equivalent', 'to', 'regularity', 'at', 'infinity', 'of', 'the', 'sequence', 'of', 'snumbers', 'of', 'the', 'generator', 'furthermore', 'we', 'apply', 'trace', 'extension', 'methods', 'to', 'two', 'problems', 'on', 'elementary', 'operators', 'studied', 'by', 'v', 'shulman', 'and', 'to', 'fugledeputnam', 'type', 'problems', 'of', 'the', 'second', 'author']] | [-0.1298259146989156, 0.08460922015439838, -0.06320927146440133, 0.08633803122783064, -0.06397667736985171, -0.14989767728182368, -0.030717368086632817, 0.31169946496971906, -0.3259302825595324, -0.1499570389588674, 0.15973237177374988, -0.28327113829123285, -0.10958085069731356, 0.1838922831337326, -0.11846772241943444, 0.011568511347062528, 0.056327519229111764, 0.08254430435884458, -0.04388718398478933, -0.3010639116693384, 0.4033313998618187, 0.01134625316525881, 0.19062222287727473, 0.02457314590499617, 0.10068430576252584, -0.0022277480994279566, -0.02222957116766618, 0.02683914383643498, -0.15856006100657397, 0.12948555137412862, 0.2659171313668291, 0.11894007535675206, 0.2915005276266199, -0.3633426131871648, -0.09957743584303759, 0.19534503435954834, 0.13734088031909406, 0.010957436425348696, 0.021972182110692254, -0.20506576450111774, 0.15592263164715126, -0.16827767360776377, -0.16795719923356023, -0.09564873463450334, 0.07471018301752898, 0.006236649995956283, -0.2940491919572919, 0.004209857356274883, 0.16329499692178498, 0.11998085004564088, -0.057541379561791055, -0.10450994192312162, -0.024494437844707416, 0.05917172640060576, -0.02091523032554855, 0.002740881387562228, 0.06455861221019847, -0.07005556928089414, -0.13087641284502566, 0.3286010146332093, -0.0585669051661777, -0.19535517496271776, 0.15669390179503423, -0.1771667066006324, -0.1385774965565174, 0.07440477938104707, 0.055590958568530205, 0.15565910887402984, -0.07615174459269605, 0.17330527170232904, -0.10369294007571461, 0.09496878375484345, 0.10365610963258988, 0.026748680626042187, 0.14575674964162783, 0.05534467925198185, 0.09872961959813555, 0.12336928460878344, 0.0046445251561892335, -0.017257778039381194, -0.3446310462955481, -0.22927027734426353, -0.18359285845385434, 0.10389623865619517, -0.04744636087129132, -0.17708537911232083, 0.3966735914803277, 0.13372228671050368, 0.15577908142899666, 0.07158974127378315, 0.24178476535762922, 0.06999411866641962, 0.056435268520353694, 0.14036055931773705, 0.15492861995903345, 0.19043372448724813, 0.022198088366824846, -0.145575843838742, 0.024817592867960533, 0.18450150289214573] |
707.317 | Inductive Definition and Domain Theoretic Properties of Fully Abstract | A construction of fully abstract typed models for PCF and PCF^+ (i.e., PCF +
"parallel conditional function"), respectively, is presented. It is based on
general notions of sequential computational strategies and wittingly consistent
non-deterministic strategies introduced by the author in the seventies.
Although these notions of strategies are old, the definition of the fully
abstract models is new, in that it is given level-by-level in the finite type
hierarchy. To prove full abstraction and non-dcpo domain theoretic properties
of these models, a theory of computational strategies is developed. This is
also an alternative and, in a sense, an analogue to the later game strategy
semantics approaches of Abramsky, Jagadeesan, and Malacaria; Hyland and Ong;
and Nickau. In both cases of PCF and PCF^+ there are definable universal
(surjective) functionals from numerical functions to any given type,
respectively, which also makes each of these models unique up to isomorphism.
Although such models are non-omega-complete and therefore not continuous in the
traditional terminology, they are also proved to be sequentially complete (a
weakened form of omega-completeness), "naturally" continuous (with respect to
existing directed "pointwise", or "natural" lubs) and also "naturally"
omega-algebraic and "naturally" bounded complete -- appropriate generalisation
of the ordinary notions of domain theory to the case of non-dcpos.
| cs.LO | a construction of fully abstract typed models for pcf and pcf ie pcf parallel conditional function respectively is presented it is based on general notions of sequential computational strategies and wittingly consistent nondeterministic strategies introduced by the author in the seventies although these notions of strategies are old the definition of the fully abstract models is new in that it is given levelbylevel in the finite type hierarchy to prove full abstraction and nondcpo domain theoretic properties of these models a theory of computational strategies is developed this is also an alternative and in a sense an analogue to the later game strategy semantics approaches of abramsky jagadeesan and malacaria hyland and ong and nickau in both cases of pcf and pcf there are definable universal surjective functionals from numerical functions to any given type respectively which also makes each of these models unique up to isomorphism although such models are nonomegacomplete and therefore not continuous in the traditional terminology they are also proved to be sequentially complete a weakened form of omegacompleteness naturally continuous with respect to existing directed pointwise or natural lubs and also naturally omegaalgebraic and naturally bounded complete appropriate generalisation of the ordinary notions of domain theory to the case of nondcpos | [['a', 'construction', 'of', 'fully', 'abstract', 'typed', 'models', 'for', 'pcf', 'and', 'pcf', 'ie', 'pcf', 'parallel', 'conditional', 'function', 'respectively', 'is', 'presented', 'it', 'is', 'based', 'on', 'general', 'notions', 'of', 'sequential', 'computational', 'strategies', 'and', 'wittingly', 'consistent', 'nondeterministic', 'strategies', 'introduced', 'by', 'the', 'author', 'in', 'the', 'seventies', 'although', 'these', 'notions', 'of', 'strategies', 'are', 'old', 'the', 'definition', 'of', 'the', 'fully', 'abstract', 'models', 'is', 'new', 'in', 'that', 'it', 'is', 'given', 'levelbylevel', 'in', 'the', 'finite', 'type', 'hierarchy', 'to', 'prove', 'full', 'abstraction', 'and', 'nondcpo', 'domain', 'theoretic', 'properties', 'of', 'these', 'models', 'a', 'theory', 'of', 'computational', 'strategies', 'is', 'developed', 'this', 'is', 'also', 'an', 'alternative', 'and', 'in', 'a', 'sense', 'an', 'analogue', 'to', 'the', 'later', 'game', 'strategy', 'semantics', 'approaches', 'of', 'abramsky', 'jagadeesan', 'and', 'malacaria', 'hyland', 'and', 'ong', 'and', 'nickau', 'in', 'both', 'cases', 'of', 'pcf', 'and', 'pcf', 'there', 'are', 'definable', 'universal', 'surjective', 'functionals', 'from', 'numerical', 'functions', 'to', 'any', 'given', 'type', 'respectively', 'which', 'also', 'makes', 'each', 'of', 'these', 'models', 'unique', 'up', 'to', 'isomorphism', 'although', 'such', 'models', 'are', 'nonomegacomplete', 'and', 'therefore', 'not', 'continuous', 'in', 'the', 'traditional', 'terminology', 'they', 'are', 'also', 'proved', 'to', 'be', 'sequentially', 'complete', 'a', 'weakened', 'form', 'of', 'omegacompleteness', 'naturally', 'continuous', 'with', 'respect', 'to', 'existing', 'directed', 'pointwise', 'or', 'natural', 'lubs', 'and', 'also', 'naturally', 'omegaalgebraic', 'and', 'naturally', 'bounded', 'complete', 'appropriate', 'generalisation', 'of', 'the', 'ordinary', 'notions', 'of', 'domain', 'theory', 'to', 'the', 'case', 'of', 'nondcpos']] | [-0.04582815945157828, 0.08361074052433408, -0.11272474416957504, 0.10270993403643464, -0.11269090239464039, -0.15141400569890762, 0.038018267315077646, 0.37810092373404786, -0.3357153868597544, -0.2488672884556128, 0.09228820918945727, -0.2270894678053329, -0.15127365418063973, 0.18467334252852366, -0.13501180433399096, 0.050353755318002784, 0.017062255760523767, 0.03609916815492114, -0.05745242678047855, -0.25828571282514373, 0.34110238026925854, 0.003116148172985369, 0.26497549359597755, 0.04446369248451712, 0.09426466157266768, -0.023107706494254983, -0.049969312218345475, 0.07423593127701615, -0.14688064311602506, 0.15270686673290615, 0.29110463575787104, 0.16737692632206982, 0.277258692535071, -0.40273969845106855, -0.18554300909037655, 0.11206524222902017, 0.08809751618288494, 0.08792687015638373, 0.015253712022419662, -0.2837215223707652, 0.13063137953511283, -0.16643413900276038, -0.08855870087518726, -0.08261974739851477, 0.02943527073501118, 0.036753065971863556, -0.26232106202333494, 0.017424853316779676, 0.14879912815534102, 0.07366752969428672, -0.05556219111251687, -0.07442004927118126, -0.03455181954306873, 0.06167124611110281, -0.01468861441188796, 0.021425486270843737, 0.036026527573958265, -0.09608287358277444, -0.17609314934933212, 0.3488260194256752, -0.034954630953479726, -0.2295720597071545, 0.22761811041179578, -0.06990246209620156, -0.1594350156140275, 0.07564886121182286, 0.09148821202118473, 0.1293278355549216, -0.12805779168298045, 0.12380186816702021, -0.053189774947100546, 0.15834404077455777, 0.08037824981410674, 0.03393276303160664, 0.14022790177856295, 0.14584982340649968, 0.07234760103501547, 0.12687855016793495, 0.0795516326950966, -0.1341344997516117, -0.32110869790890706, -0.15365727927115155, -0.0939480904630156, -0.003472879283225524, -0.06902675644587315, -0.20195659623486012, 0.35462926745054374, 0.11117616223040314, 0.13388703585176462, 0.12029904524044568, 0.2845610782618742, 0.11712245283713892, 0.05242789350684039, 0.053901272635186216, 0.15857198812189188, 0.1505409522829156, 0.07445928363255858, -0.10609033731767094, 0.05919604853436763, 0.1031595374501852] |
707.3171 | Intrinsic Impurity in the High Temperature Superconductor
Bi_2Sr_2CaCu_2O$_{8+\delta}$ | The {}^{17}O NMR spectra of Bi_2Sr_2CaCu_2O$_{8+\delta}$ (Bi-2212) single
crystals were measured in the temperature range from 4 K to 200 K and magnetic
fields from 3 to 29 T, reported here principally at 8 T. The NMR linewidth of
the oxygen in the CuO_{2} plane was found to be magnetically broadened with the
temperature dependence of a Curie law where the Curie coefficient decreases
with increased doping. This inhomogeneous magnetism is an impurity effect
intrinsic to oxygen doping and persists unmodified into the superconducting
state.
| cond-mat.supr-con cond-mat.str-el | the 17o nmr spectra of bi_2sr_2cacu_2o_8delta bi2212 single crystals were measured in the temperature range from 4 k to 200 k and magnetic fields from 3 to 29 t reported here principally at 8 t the nmr linewidth of the oxygen in the cuo_2 plane was found to be magnetically broadened with the temperature dependence of a curie law where the curie coefficient decreases with increased doping this inhomogeneous magnetism is an impurity effect intrinsic to oxygen doping and persists unmodified into the superconducting state | [['the', '17o', 'nmr', 'spectra', 'of', 'bi_2sr_2cacu_2o_8delta', 'bi2212', 'single', 'crystals', 'were', 'measured', 'in', 'the', 'temperature', 'range', 'from', '4', 'k', 'to', '200', 'k', 'and', 'magnetic', 'fields', 'from', '3', 'to', '29', 't', 'reported', 'here', 'principally', 'at', '8', 't', 'the', 'nmr', 'linewidth', 'of', 'the', 'oxygen', 'in', 'the', 'cuo_2', 'plane', 'was', 'found', 'to', 'be', 'magnetically', 'broadened', 'with', 'the', 'temperature', 'dependence', 'of', 'a', 'curie', 'law', 'where', 'the', 'curie', 'coefficient', 'decreases', 'with', 'increased', 'doping', 'this', 'inhomogeneous', 'magnetism', 'is', 'an', 'impurity', 'effect', 'intrinsic', 'to', 'oxygen', 'doping', 'and', 'persists', 'unmodified', 'into', 'the', 'superconducting', 'state']] | [-0.1126331317183726, 0.27117245319069994, 0.014039305504411459, -0.042046949371476385, -0.001994526369825882, -0.1368323111851864, 0.11592260877437452, 0.3996684607337503, -0.2703872124911012, -0.35511023505207373, -0.03860529239618165, -0.4028874419081737, 0.03625548181726652, 0.18071626827175566, 0.06843248984283384, -0.011106866630999482, -0.13119994514786146, 0.006103229292613618, -0.13748364108888542, -0.2532716614796835, 0.2541501979179242, 0.06439751603585832, 0.31772383411332744, 0.1068550147664021, 0.002209088102202205, -0.03672797268270241, 0.15179908049895482, 0.05345233633895131, -0.1494203288875082, -0.024694824993939084, 0.31756888291634183, -0.10741333077072769, 0.15828487373450223, -0.3525423991110395, -0.1972629801260636, 0.002508320812793339, 0.13798263106933412, 0.1522736701566507, -0.054098841710262656, -0.22650171206058825, 0.05950690564042067, -0.09364160265335265, -0.12996653470566824, -0.03370147494270521, 0.014965563694782117, -0.033989594170056724, -0.24683579372461228, 0.15262183011235558, 0.07217223600840525, 0.2033286800279337, -0.15789776569341912, -0.18528200147454352, -0.09058486406677677, -0.008719722170601872, 0.03108278070028652, 0.1305634839569821, 0.24643359377103694, -0.02875167729387827, -0.045061769730904526, 0.29431037256384596, -0.07991157801931395, 0.029567734639653388, 0.10106142664547352, -0.2682063942446428, -0.05981173947563066, 0.246699665968909, 0.07549427451346727, 0.09904341751560637, -0.1413948072887519, 0.07950236412614364, 0.021251749992370606, 0.27355035725323595, 0.07082096646156381, 0.03405428610961227, 0.1911322160569184, 0.18331086717765122, -0.004530934458050658, 0.1533035771558335, -0.17426289539674625, 0.019834049517179236, -0.15194320444236784, -0.1408620965858812, -0.16547060417805742, 0.12466460332164869, -0.09557535663103302, -0.14626769332406933, 0.3395659169401316, 0.14198119798127343, 0.23564136033768163, -0.09350171147243065, 0.20824511638459037, 0.09127849732689998, 0.10149380933931645, 0.06580403223085929, 0.22930189325090716, 0.24495962441022343, 0.20297200806877191, -0.33055491212974575, 0.06242706436554299, -0.07490039408645209] |
707.3172 | Equivariant orbifold structures on the projective line and integrable
hierarchies | Let $\CP^1_{k,m}$ be the orbifold structure on $\CP^1$ obtained via
uniformizing the neighborhoods of 0 and $\infty$ respectively by $z\mapsto z^k$
and $w\mapsto w^m.$ The diagonal action of the torus on the projective line
induces naturally an orbifold action on $\CP^1_{k,m}.$ In this paper we prove
that if k and m are co-prime then Givental's prediction of the equivariant
total descendent Gromov-Witten potential of $\CP^1_{k,m}$ satisfies certain
Hirota Quadratic Equations (HQE for short). We also show that after an
appropriate change of the variables, similar to Getzler's change in the
equivariant Gromov-Witten theory of $\CP^1$, the HQE turn into the HQE of the
2-Toda hierarchy, i.e., the Gromov-Witten potential of $\CP^1_{k,m}$ is a
tau-function of the 2-Toda hierarchy. More precisely, we obtain a sequence of
tau-functions of the 2-Toda hierarchy from the descendent potential via some
translations. The later condition, that all tau-functions in the sequence are
obtained from a single one via translations, imposes a serious constraint on
the solution of the 2-Toda hierarchy. Our theorem leads to the discovery of a
new integrable hierarchy (we suggest to be called the Equivariant Bi-graded
Toda Hierarchy). We conjecture that this new hierarchy governs, i.e., uniquely
determines, the equivariant Gromov-Witten invariants of $\CP^1_{k,m}.$
| math.SG math.AG | let cp1_km be the orbifold structure on cp1 obtained via uniformizing the neighborhoods of 0 and infty respectively by zmapsto zk and wmapsto wm the diagonal action of the torus on the projective line induces naturally an orbifold action on cp1_km in this paper we prove that if k and m are coprime then giventals prediction of the equivariant total descendent gromovwitten potential of cp1_km satisfies certain hirota quadratic equations hqe for short we also show that after an appropriate change of the variables similar to getzlers change in the equivariant gromovwitten theory of cp1 the hqe turn into the hqe of the 2toda hierarchy ie the gromovwitten potential of cp1_km is a taufunction of the 2toda hierarchy more precisely we obtain a sequence of taufunctions of the 2toda hierarchy from the descendent potential via some translations the later condition that all taufunctions in the sequence are obtained from a single one via translations imposes a serious constraint on the solution of the 2toda hierarchy our theorem leads to the discovery of a new integrable hierarchy we suggest to be called the equivariant bigraded toda hierarchy we conjecture that this new hierarchy governs ie uniquely determines the equivariant gromovwitten invariants of cp1_km | [['let', 'cp1_km', 'be', 'the', 'orbifold', 'structure', 'on', 'cp1', 'obtained', 'via', 'uniformizing', 'the', 'neighborhoods', 'of', '0', 'and', 'infty', 'respectively', 'by', 'zmapsto', 'zk', 'and', 'wmapsto', 'wm', 'the', 'diagonal', 'action', 'of', 'the', 'torus', 'on', 'the', 'projective', 'line', 'induces', 'naturally', 'an', 'orbifold', 'action', 'on', 'cp1_km', 'in', 'this', 'paper', 'we', 'prove', 'that', 'if', 'k', 'and', 'm', 'are', 'coprime', 'then', 'giventals', 'prediction', 'of', 'the', 'equivariant', 'total', 'descendent', 'gromovwitten', 'potential', 'of', 'cp1_km', 'satisfies', 'certain', 'hirota', 'quadratic', 'equations', 'hqe', 'for', 'short', 'we', 'also', 'show', 'that', 'after', 'an', 'appropriate', 'change', 'of', 'the', 'variables', 'similar', 'to', 'getzlers', 'change', 'in', 'the', 'equivariant', 'gromovwitten', 'theory', 'of', 'cp1', 'the', 'hqe', 'turn', 'into', 'the', 'hqe', 'of', 'the', '2toda', 'hierarchy', 'ie', 'the', 'gromovwitten', 'potential', 'of', 'cp1_km', 'is', 'a', 'taufunction', 'of', 'the', '2toda', 'hierarchy', 'more', 'precisely', 'we', 'obtain', 'a', 'sequence', 'of', 'taufunctions', 'of', 'the', '2toda', 'hierarchy', 'from', 'the', 'descendent', 'potential', 'via', 'some', 'translations', 'the', 'later', 'condition', 'that', 'all', 'taufunctions', 'in', 'the', 'sequence', 'are', 'obtained', 'from', 'a', 'single', 'one', 'via', 'translations', 'imposes', 'a', 'serious', 'constraint', 'on', 'the', 'solution', 'of', 'the', '2toda', 'hierarchy', 'our', 'theorem', 'leads', 'to', 'the', 'discovery', 'of', 'a', 'new', 'integrable', 'hierarchy', 'we', 'suggest', 'to', 'be', 'called', 'the', 'equivariant', 'bigraded', 'toda', 'hierarchy', 'we', 'conjecture', 'that', 'this', 'new', 'hierarchy', 'governs', 'ie', 'uniquely', 'determines', 'the', 'equivariant', 'gromovwitten', 'invariants', 'of', 'cp1_km']] | [-0.19541035263769163, 0.05705032474260505, -0.09781879740467497, 0.11372478505640318, -0.07635376865440739, -0.13767064865079182, 0.029403072294875942, 0.2514653407281615, -0.3435707350658013, -0.23178335245569595, 0.07781628057381397, -0.23821031255417013, -0.1846581531762339, 0.1626553063794952, -0.11156097974940572, 0.011738774262940382, 0.0514485091697148, 0.06825004546156171, -0.14725218523215355, -0.29425273086278614, 0.4238126096027525, -0.051632679952769586, 0.20810479588695976, 0.07067457979803185, 0.13107687465173404, 0.0010728561642146346, 0.009204085813696947, -0.0728308388393944, -0.11979024309165301, 0.12601871814781634, 0.22086148379061665, 0.09962466142905674, 0.15733296883011255, -0.38251587150083616, -0.11105254755959394, 0.1477202395585799, 0.16166337777279538, 0.044028120669812924, 0.0193929243460384, -0.29900447826943183, 0.09971987965688488, -0.13939892023797193, -0.17608146539815508, -0.09019946880375801, 0.026018342597981785, 0.02520094103281303, -0.2334786046842127, 0.0407798268063176, 0.06332463901351658, 0.03442651003894239, -0.06039220866479791, -0.09858418134326982, -0.11501571278913075, 0.07561213932332057, 0.04068767422312262, 0.10370876687050953, 0.04236131276714035, -0.12653371664617064, -0.08767684802210124, 0.3780347389113711, -0.10945581400416571, -0.23755526549579337, 0.06807900231681985, -0.12422767929769683, -0.19980830388457174, 0.1138689017919178, 0.06597665644776408, 0.14234130601813594, -0.06911334819373638, 0.1833537612459046, -0.11280141634253397, 0.10917062135090554, 0.10651838783584512, -0.01834101579728361, 0.20136219255238919, 0.10272762918439095, 0.07166606187013595, 0.10868951375250437, -0.000802163832295354, -0.10675958496297129, -0.34941220583191307, -0.1937793898177195, -0.09168881512221669, 0.15781794328618295, -0.13675971336797915, -0.1604650956855183, 0.4296112744192971, 0.0913867818140932, 0.19244026674400314, 0.16368557293861896, 0.17012969762234403, 0.14815467680253475, 0.06427128026423294, -0.0002909387971302218, 0.126610652837092, 0.1840504420653797, 0.024130433011744723, -0.2307320126599752, -0.044134052020801916, 0.24622814011665542] |
707.3173 | Points on Shimura varieties over finite fields: the conjecture of
Langlands and Rapoport | We state an improved version of the conjecture of Langlands and Rapoport, and
we prove the conjecture for a large class of Shimura varieties. In particular,
we obtain the first proof of the (original) conjecture for Shimura varieties of
PEL-type.
| math.NT math.AG | we state an improved version of the conjecture of langlands and rapoport and we prove the conjecture for a large class of shimura varieties in particular we obtain the first proof of the original conjecture for shimura varieties of peltype | [['we', 'state', 'an', 'improved', 'version', 'of', 'the', 'conjecture', 'of', 'langlands', 'and', 'rapoport', 'and', 'we', 'prove', 'the', 'conjecture', 'for', 'a', 'large', 'class', 'of', 'shimura', 'varieties', 'in', 'particular', 'we', 'obtain', 'the', 'first', 'proof', 'of', 'the', 'original', 'conjecture', 'for', 'shimura', 'varieties', 'of', 'peltype']] | [-0.19744437949266286, -0.04688206985265424, -0.1844873777590692, 0.08895725444890559, -0.06778565589338541, -0.13353541268734262, -0.004081361507996917, 0.18926704507321118, -0.28090776661410927, -0.26940306527540087, 0.08793278204102535, -0.14539742495981045, -0.14804763244464994, 0.24870406477712095, -0.24198639059904964, 0.028129804553464054, 0.07887415459845215, -0.0022816699813120065, -0.10307099653873593, -0.4579595308750868, 0.44317741233389824, -0.06354424613527954, 0.23389287530444564, 0.14956531981006266, 0.10185033050947823, 0.07088210675865411, 0.0445986048784107, -0.1337542338296771, -0.13817307248245925, 0.21527431216090917, 0.3232706645387225, 0.12989879529341125, 0.2014730976894498, -0.39531370885670186, -0.09218343903194182, 0.23876762135187163, 0.08135552345775068, 0.16212125641759484, 0.011474687018198893, -0.29706738898530605, 0.0963716360507533, -0.1795747285243124, -0.2674715626984835, -0.08557659140788018, 0.0172418893314898, 0.0018655130174010993, -0.27217445499263704, 4.994915798306465e-05, 0.14791695285239256, 0.20856341796461492, -0.13988820328377188, -0.10744447913020849, -0.0101723896805197, 0.03194620352005586, 0.010770808719098569, 0.030341181287076323, -0.0007310168934054673, -0.17024953556247055, -0.11723887521657161, 0.31957212295383214, -0.08289862144738436, -0.10388220977038146, 0.06393916052766144, -0.15510203468147665, -0.29198946738615633, 0.05446725655347109, 0.08837645081803203, 0.17731475066393615, 0.06399147650226951, 0.14378853793896268, -0.22518807519227266, 0.004549651453271508, 0.12650932555552571, -0.041397942369803785, 0.09740878045558929, 0.08198792814364424, 0.041124116210266945, 0.16991786658763885, -0.04018173295771703, 0.0027709235437214375, -0.36927761789411306, -0.29024810383562, -0.11258516244706698, 0.16075545703060926, -0.0943094661917712, -0.14552997015416622, 0.4010119643062353, 0.0878172388416715, 0.16277696006000042, 0.2427897031418979, 0.142197425942868, 0.05038403787184507, -0.016791928264137824, 0.06376102196518332, 0.17824202445335685, 0.26888238424435257, -0.03638128896709532, -0.12066645630402491, -0.016088080417830497, 0.26203844582196323] |
707.3174 | A new characterization for the m-quasiinvariants of S_n and explicit
basis for two row hook shapes | In 2002, Feigin and Veselov defined the space of m-quasiinvariants for any
Coxeter group, building on earlier work of Chalykh and Veselov. While many
properties of those spaces were proven from this definition, an explicit
computation of a basis was only done in certain cases. In particular, Feigin
and Veselov computed bases for the m-quasiinvariants of dihedral groups,
including S_3, and Felder and Veselov computed the non-symmetric
m-quasiinvariants of lowest degree for general S_n. In this paper, we provide a
new characterization of the m-quasiinvariants of S_n, and use this to provide a
basis for the isotypic component indexed by the partition [n-1,1]. This builds
on a previous paper in which we computed a basis for S_3 via combinatorial
methods.
| math.CO | in 2002 feigin and veselov defined the space of mquasiinvariants for any coxeter group building on earlier work of chalykh and veselov while many properties of those spaces were proven from this definition an explicit computation of a basis was only done in certain cases in particular feigin and veselov computed bases for the mquasiinvariants of dihedral groups including s_3 and felder and veselov computed the nonsymmetric mquasiinvariants of lowest degree for general s_n in this paper we provide a new characterization of the mquasiinvariants of s_n and use this to provide a basis for the isotypic component indexed by the partition n11 this builds on a previous paper in which we computed a basis for s_3 via combinatorial methods | [['in', '2002', 'feigin', 'and', 'veselov', 'defined', 'the', 'space', 'of', 'mquasiinvariants', 'for', 'any', 'coxeter', 'group', 'building', 'on', 'earlier', 'work', 'of', 'chalykh', 'and', 'veselov', 'while', 'many', 'properties', 'of', 'those', 'spaces', 'were', 'proven', 'from', 'this', 'definition', 'an', 'explicit', 'computation', 'of', 'a', 'basis', 'was', 'only', 'done', 'in', 'certain', 'cases', 'in', 'particular', 'feigin', 'and', 'veselov', 'computed', 'bases', 'for', 'the', 'mquasiinvariants', 'of', 'dihedral', 'groups', 'including', 's_3', 'and', 'felder', 'and', 'veselov', 'computed', 'the', 'nonsymmetric', 'mquasiinvariants', 'of', 'lowest', 'degree', 'for', 'general', 's_n', 'in', 'this', 'paper', 'we', 'provide', 'a', 'new', 'characterization', 'of', 'the', 'mquasiinvariants', 'of', 's_n', 'and', 'use', 'this', 'to', 'provide', 'a', 'basis', 'for', 'the', 'isotypic', 'component', 'indexed', 'by', 'the', 'partition', 'n11', 'this', 'builds', 'on', 'a', 'previous', 'paper', 'in', 'which', 'we', 'computed', 'a', 'basis', 'for', 's_3', 'via', 'combinatorial', 'methods']] | [-0.11116732228547335, 0.05883941036481701, -0.08306634713274737, 0.03431600593418504, -0.04995184996320556, -0.06835294503641004, 0.032572183589218186, 0.34252459413061537, -0.2349421952404858, -0.25138356708921494, 0.1193159651971655, -0.19922903426534808, -0.17081582331253836, 0.21300851739166926, -0.10258246675342282, 0.02807815360526244, 0.015403300415103634, 0.042338492077639484, -0.11116415364370671, -0.2843267152716483, 0.35345519992212454, 0.020105746341869235, 0.21117365872487426, 0.003549607346455256, 0.07587290514493361, 0.056260830400666845, -0.07794570407616751, -0.028578970679412428, -0.15496610579139086, 0.20580010645401975, 0.25784003593338034, 0.10992358082827801, 0.19126083365796756, -0.3580964828647363, -0.14441084831293363, 0.14317899997889375, 0.16027793508255855, 0.0684428562031826, -0.04147077765665017, -0.27532391732481, 0.05625859034868578, -0.2199031519889104, -0.13699169525643812, -0.0812495335250181, 0.06277047492912971, 0.011171601673413533, -0.26952230776660147, 0.035803278520082436, 0.08938960852877548, 0.13786510952049866, -0.04513706095361461, -0.18449787294860773, -0.03322679502889514, 0.12353135714074596, -0.015882424366039535, 0.032681873495069645, 0.01872244701953605, -0.07605701903036485, -0.16336909194942564, 0.3741784733875344, -0.0006326842587441206, -0.20347690709168093, 0.11513790457975119, -0.13916106307491038, -0.2448809686349705, 0.07485765625024214, 0.11245184804235274, 0.17024244664159294, -0.10241111502206574, 0.15306459712349654, -0.12111134755735596, 0.05684566904674284, 0.14011947284452617, -0.016981696144891128, 0.07689674604528894, 0.06333034227330549, 0.015813329895900098, 0.15894350508072724, 0.03950558763851101, -0.031404279499838594, -0.2959003649031123, -0.21587645129378263, -0.16180885955691338, 0.0562346878364527, -0.07607917819332215, -0.1492125298071187, 0.40953120871369414, 0.062493458040989935, 0.18735686501458987, 0.097240438592659, 0.18879184137719374, 0.06644974683100978, 0.0489126578962896, 0.042666239962757875, 0.14846560223959387, 0.19671372992064182, 0.013527054201889162, -0.14294103450180654, 0.014869283256120979, 0.20407343633317698] |
707.3175 | Stacked OSTBC: Error Performance and Rate Analysis | It is well known, that the Alamouti scheme is the only space-time code from
orthogonal design achieving the capacity of a multiple-input multiple-output
(MIMO) wireless communication system with n_T=2 transmit antennas and n_R=1
receive antenna. In this work, we propose the n-times stacked Alamouti scheme
for n_T=2n transmit antennas and show that this scheme achieves the capacity in
the case of n_R=1 receive antenna. This result may regarded as an extension of
the Alamouti case. For the more general case of more than one receive antenna,
we show that if the number of transmit antennas is higher than the number of
receive antennas we achieve a high portion of the capacity with this scheme.
Further, we show that the MIMO capacity is at most twice the rate achieved with
the proposed scheme for all SNR. We derive lower and upper bounds for the rate
achieved with this scheme and compare it with upper and lower bounds for the
capacity. In addition to the capacity analysis based on the assumption of a
coherent channel, we analyze the error rate performance of the stacked OSTBC
with the optimal ML detector and with the suboptimal lattice-reduction (LR)
aided zero-forcing detector. We compare the error rate performance of the
stacked OSTBC with spatial multiplexing (SM) and full-diversity achieving
schemes. Finally, we illustrate the theoretical results by numerical
simulations.
| cs.IT math.IT | it is well known that the alamouti scheme is the only spacetime code from orthogonal design achieving the capacity of a multipleinput multipleoutput mimo wireless communication system with n_t2 transmit antennas and n_r1 receive antenna in this work we propose the ntimes stacked alamouti scheme for n_t2n transmit antennas and show that this scheme achieves the capacity in the case of n_r1 receive antenna this result may regarded as an extension of the alamouti case for the more general case of more than one receive antenna we show that if the number of transmit antennas is higher than the number of receive antennas we achieve a high portion of the capacity with this scheme further we show that the mimo capacity is at most twice the rate achieved with the proposed scheme for all snr we derive lower and upper bounds for the rate achieved with this scheme and compare it with upper and lower bounds for the capacity in addition to the capacity analysis based on the assumption of a coherent channel we analyze the error rate performance of the stacked ostbc with the optimal ml detector and with the suboptimal latticereduction lr aided zeroforcing detector we compare the error rate performance of the stacked ostbc with spatial multiplexing sm and fulldiversity achieving schemes finally we illustrate the theoretical results by numerical simulations | [['it', 'is', 'well', 'known', 'that', 'the', 'alamouti', 'scheme', 'is', 'the', 'only', 'spacetime', 'code', 'from', 'orthogonal', 'design', 'achieving', 'the', 'capacity', 'of', 'a', 'multipleinput', 'multipleoutput', 'mimo', 'wireless', 'communication', 'system', 'with', 'n_t2', 'transmit', 'antennas', 'and', 'n_r1', 'receive', 'antenna', 'in', 'this', 'work', 'we', 'propose', 'the', 'ntimes', 'stacked', 'alamouti', 'scheme', 'for', 'n_t2n', 'transmit', 'antennas', 'and', 'show', 'that', 'this', 'scheme', 'achieves', 'the', 'capacity', 'in', 'the', 'case', 'of', 'n_r1', 'receive', 'antenna', 'this', 'result', 'may', 'regarded', 'as', 'an', 'extension', 'of', 'the', 'alamouti', 'case', 'for', 'the', 'more', 'general', 'case', 'of', 'more', 'than', 'one', 'receive', 'antenna', 'we', 'show', 'that', 'if', 'the', 'number', 'of', 'transmit', 'antennas', 'is', 'higher', 'than', 'the', 'number', 'of', 'receive', 'antennas', 'we', 'achieve', 'a', 'high', 'portion', 'of', 'the', 'capacity', 'with', 'this', 'scheme', 'further', 'we', 'show', 'that', 'the', 'mimo', 'capacity', 'is', 'at', 'most', 'twice', 'the', 'rate', 'achieved', 'with', 'the', 'proposed', 'scheme', 'for', 'all', 'snr', 'we', 'derive', 'lower', 'and', 'upper', 'bounds', 'for', 'the', 'rate', 'achieved', 'with', 'this', 'scheme', 'and', 'compare', 'it', 'with', 'upper', 'and', 'lower', 'bounds', 'for', 'the', 'capacity', 'in', 'addition', 'to', 'the', 'capacity', 'analysis', 'based', 'on', 'the', 'assumption', 'of', 'a', 'coherent', 'channel', 'we', 'analyze', 'the', 'error', 'rate', 'performance', 'of', 'the', 'stacked', 'ostbc', 'with', 'the', 'optimal', 'ml', 'detector', 'and', 'with', 'the', 'suboptimal', 'latticereduction', 'lr', 'aided', 'zeroforcing', 'detector', 'we', 'compare', 'the', 'error', 'rate', 'performance', 'of', 'the', 'stacked', 'ostbc', 'with', 'spatial', 'multiplexing', 'sm', 'and', 'fulldiversity', 'achieving', 'schemes', 'finally', 'we', 'illustrate', 'the', 'theoretical', 'results', 'by', 'numerical', 'simulations']] | [-0.22289351125732232, 0.01689462281818107, 0.004233433487052474, -0.014562579814131652, -0.027420807926343427, -0.24374358185813366, 0.11341111024741435, 0.3801414467636579, -0.1901744835349134, -0.268692183254011, 0.09670821342548364, -0.26384757496750677, -0.19237124534415692, 0.19859044873072126, -0.0938514855172435, 0.04087563208904694, 0.041976811696311685, 0.07106840319935684, -0.06691077098275447, -0.3161324006526192, 0.26685884842156293, 0.17076370698888474, 0.3608667478925912, 0.001167531964690696, 0.11474920966299125, -0.008488311289262545, -0.014011594157816316, -0.05792409208741022, -0.10554184627548516, 0.10464539480575198, 0.28765747826462906, 0.1880282541969791, 0.21313792655052358, -0.37259343040599635, -0.23506769188784163, 0.0823646532481269, 0.16692365370620346, 0.09541400258362527, -0.06209212472161692, -0.2235228919491721, 0.17538530667492025, -0.23815299463228662, -0.048895289267375734, 0.03662209502983037, -0.11523432396101711, 0.028797541457884046, -0.3816007916886577, 0.02707450822906176, 0.027369485431425943, 0.022601784286016155, -0.01477845857074409, -0.17869386064606999, 0.046558991586163036, 0.11946337150186384, 0.02670789682389876, -0.01177625672791504, 0.037700653904652215, -0.08414824486442846, -0.0973604817532156, 0.3374909897389166, -0.0514517493008045, -0.27004518308112974, 0.1337939805715061, -0.16661712396764636, -0.05408856738508823, 0.1595232320924377, 0.2539248570357136, 0.10302785663310055, -0.10514563636545242, 0.03281142153999572, -0.037636565288837846, 0.22140170243096793, 0.08404339266410557, 0.1676182071712273, 0.10973604707644559, 0.19865394245223414, 0.14673453435560713, 0.17626057655525482, -0.16502558667267017, -0.06798602506150847, -0.23673392877383617, -0.1464811474995295, -0.21955057136733253, 0.013682893156324568, -0.13590564394549565, -0.03679593336233877, 0.3179056153608491, 0.16550395527077763, 0.12234382276661326, 0.17945735112266958, 0.40392584032942896, 0.11563576790639889, 0.08107627433152544, 0.16237848540225103, 0.2527105200935506, 0.12204282124936079, 0.08156657260931369, -0.22562023531332312, -0.0008480925417835135, 0.023357281024931124] |
707.3176 | Photocurrent Imaging of p-n Junctions and Local Defects in Ambipolar
Carbon Nanotube Transistors | We use scanning photocurrent microscopy (SPCM) to investigate the properties
of internal p-n junctions as well as local defects in ambipolar carbon nanotube
(CNT) transistors. Our SPCM images show strong signals near metal contacts
whose polarity and positions change depending on the gate bias. SPCM images
analyzed in conjunction with the overall conductance also indicate the
existence and gate-dependent evolution of internal p-n junctions near contacts
in the n-type operation regime. To determine the p-n junction position and the
depletion width with a nanometer scale resolution, a Gaussian fit was used. We
also measure the electric potential profile of CNT devices at different gate
biases, which shows that both local defects and induced electric fields can be
imaged using the SPCM technique. Our experiment clearly demonstrates that SPCM
is a valuable tool for imaging and optimizing electrical and optoelectronic
properties of CNT based devices.
| cond-mat.mtrl-sci cond-mat.mes-hall | we use scanning photocurrent microscopy spcm to investigate the properties of internal pn junctions as well as local defects in ambipolar carbon nanotube cnt transistors our spcm images show strong signals near metal contacts whose polarity and positions change depending on the gate bias spcm images analyzed in conjunction with the overall conductance also indicate the existence and gatedependent evolution of internal pn junctions near contacts in the ntype operation regime to determine the pn junction position and the depletion width with a nanometer scale resolution a gaussian fit was used we also measure the electric potential profile of cnt devices at different gate biases which shows that both local defects and induced electric fields can be imaged using the spcm technique our experiment clearly demonstrates that spcm is a valuable tool for imaging and optimizing electrical and optoelectronic properties of cnt based devices | [['we', 'use', 'scanning', 'photocurrent', 'microscopy', 'spcm', 'to', 'investigate', 'the', 'properties', 'of', 'internal', 'pn', 'junctions', 'as', 'well', 'as', 'local', 'defects', 'in', 'ambipolar', 'carbon', 'nanotube', 'cnt', 'transistors', 'our', 'spcm', 'images', 'show', 'strong', 'signals', 'near', 'metal', 'contacts', 'whose', 'polarity', 'and', 'positions', 'change', 'depending', 'on', 'the', 'gate', 'bias', 'spcm', 'images', 'analyzed', 'in', 'conjunction', 'with', 'the', 'overall', 'conductance', 'also', 'indicate', 'the', 'existence', 'and', 'gatedependent', 'evolution', 'of', 'internal', 'pn', 'junctions', 'near', 'contacts', 'in', 'the', 'ntype', 'operation', 'regime', 'to', 'determine', 'the', 'pn', 'junction', 'position', 'and', 'the', 'depletion', 'width', 'with', 'a', 'nanometer', 'scale', 'resolution', 'a', 'gaussian', 'fit', 'was', 'used', 'we', 'also', 'measure', 'the', 'electric', 'potential', 'profile', 'of', 'cnt', 'devices', 'at', 'different', 'gate', 'biases', 'which', 'shows', 'that', 'both', 'local', 'defects', 'and', 'induced', 'electric', 'fields', 'can', 'be', 'imaged', 'using', 'the', 'spcm', 'technique', 'our', 'experiment', 'clearly', 'demonstrates', 'that', 'spcm', 'is', 'a', 'valuable', 'tool', 'for', 'imaging', 'and', 'optimizing', 'electrical', 'and', 'optoelectronic', 'properties', 'of', 'cnt', 'based', 'devices']] | [-0.14713750537743586, 0.05495011386261063, -0.08511762813173442, 0.0027775154521805234, -0.0037372814387910897, -0.18556208839193764, 0.08107220057839488, 0.46724895645295167, -0.26266976647699875, -0.34982961548181873, -0.011530933868521566, -0.2777346733580796, -0.1644867244208904, 0.22763493011653838, -0.010464105127741478, 0.011435364107860045, 0.02734540289060937, -0.08176657253190772, -0.034984280755452346, -0.1787056508781259, 0.22070323702387717, 0.06796038689531593, 0.36851772394341725, 0.10734536317694518, 0.0601224030479999, -0.006556129188134542, 0.058734350281560585, 0.07701975556685486, -0.12498727717370962, 0.05338973620867667, 0.22465540371680012, -0.08594209988304, 0.1806623008257399, -0.49193921282292447, -0.20099889914531055, -0.007318686547579192, 0.14622055140272197, 0.1195686020582798, -0.06785884685571848, -0.29041659847522777, 0.11898787113346367, -0.06362725315719014, -0.10749597362054272, -0.03695148538746354, 0.0016010914938912417, 0.07682100531140652, -0.24264640979688717, 0.06339873394810841, -0.001365491745269133, 0.07599998572671514, -0.05475617548351389, -0.09689398107285443, -0.06747262820944241, 0.12005638034962532, -0.04579433618831293, 0.011655767800726203, 0.3134298638744642, -0.13561940534337838, -0.11461705926275398, 0.2809073140637742, -0.09664635655968191, -0.1153066185684616, 0.14197813239136142, -0.19624807594745006, -0.03851419011092124, 0.12319384989839616, 0.10320376069931728, 0.13314921855797163, -0.16862181910417146, 0.040115309411097165, 0.04631510922788746, 0.18992027867999342, 0.12809143241287935, 0.08956297682986285, 0.25204073025896734, 0.20387337783661982, 0.06060007129821719, 0.1120770610505133, -0.20722733281986117, 0.03856212737284497, -0.23903306484498898, -0.18877702090362114, -0.20229700055885283, 0.10874142677736624, -0.07986524026819097, -0.19358462770146112, 0.4122688650677446, 0.17343903401019312, 0.1760337914650639, -0.0408085082526668, 0.311374480305757, 0.10735676379732063, 0.1237388858579733, -0.032870440866746425, 0.20765593841012256, 0.20122332180229327, 0.10550378042130938, -0.2986606813339879, 0.10596243975063165, -0.0743673939917547] |
707.3177 | Towards a proof of the conjecture of Langlands and Rapoport | A conference talk discussing the conjecture of Langlands and Rapoport
concerning the structure of the points on a Shimura variety modulo a prime of
good reduction.
| math.NT math.AG | a conference talk discussing the conjecture of langlands and rapoport concerning the structure of the points on a shimura variety modulo a prime of good reduction | [['a', 'conference', 'talk', 'discussing', 'the', 'conjecture', 'of', 'langlands', 'and', 'rapoport', 'concerning', 'the', 'structure', 'of', 'the', 'points', 'on', 'a', 'shimura', 'variety', 'modulo', 'a', 'prime', 'of', 'good', 'reduction']] | [-0.2834684599477511, -0.04297048462411532, -0.21984270752335971, 0.07446933741896199, -0.1303505003810502, -0.1251181753244824, 0.05431816160965424, 0.1455443172643964, -0.2587583004855193, -0.32031340825443083, 0.09536997846757564, -0.2061531596655886, -0.15269545077955207, 0.244112455429366, -0.2044252993610616, 0.022240745629040666, 0.0992939959351833, 0.04260160976376098, -0.10444560987301744, -0.45957230489092094, 0.4059452247949174, 0.056108931509348065, 0.25480588650904024, 0.10554581572516607, 0.08588708916571565, 0.07757536952312176, -0.03375251211512547, -0.09287251657448135, -0.10450967791705178, 0.22331447182939604, 0.3587605952500151, 0.09526105080014811, 0.20524745027069002, -0.3829353660918199, -0.09629745277253768, 0.1701346025443994, 0.0240083820043275, 0.04349592277923456, -0.02515054493694781, -0.2781811181742411, 0.10559325598968336, -0.17150331431856522, -0.17854291911666784, -0.05508694812082327, 0.03273596906533035, 0.034511518091536485, -0.1605377063231292, -0.06148794078483032, 0.11614148684132558, 0.3198465183377266, -0.06385667199412218, -0.15926393350729576, 0.034690700471401215, 0.004269996604237419, 0.04658121443711794, 0.09654206454825516, 0.06546088680624962, -0.21360953374264333, -0.15134806365061265, 0.42189956972232234, 0.0046351964657123275, -0.021604222460434988, 0.09345819758108029, -0.1774875860517988, -0.2524192604021384, 0.07695961342408107, 0.1108528460161044, 0.07077695056796074, 0.047638944240483955, 0.21636819065539525, -0.1926029147580266, 0.062250273588758245, 0.18409974676055404, -0.07885126468653862, 0.21632885044583908, 0.10879972054121587, -0.04276825258365044, 0.04638716814896235, 0.009302688681950362, -0.03251775683691868, -0.4500146917998791, -0.22524727415293455, -0.11312186596198724, 0.13427489451490915, -0.07088928683963157, -0.12087558406906632, 0.4561460162512958, 0.04718947113276674, 0.222970564598934, 0.0800446777855261, 0.1628954099634519, 0.004895874057323313, -0.03743890139202659, -0.0027102732744354466, 0.0971854105591774, 0.2638151515991642, -0.021281213911536794, -0.17666705878666386, -0.03850249285236574, 0.21231622162919778] |
707.3178 | Vanishing theorems for toric polyhedra | A toric polyhedron is a reduced closed subscheme of a toric variety that are
partial unions of the orbits of the torus action. We prove vanishing theorems
for toric polyhedra. We also give a proof of the $E_1$-degeneration of Hodge to
de Rham type spectral sequence for toric polyhedra in any characteristic.
Finally, we give a very powerful extension theorem for ample line bundles.
| math.AG | a toric polyhedron is a reduced closed subscheme of a toric variety that are partial unions of the orbits of the torus action we prove vanishing theorems for toric polyhedra we also give a proof of the e_1degeneration of hodge to de rham type spectral sequence for toric polyhedra in any characteristic finally we give a very powerful extension theorem for ample line bundles | [['a', 'toric', 'polyhedron', 'is', 'a', 'reduced', 'closed', 'subscheme', 'of', 'a', 'toric', 'variety', 'that', 'are', 'partial', 'unions', 'of', 'the', 'orbits', 'of', 'the', 'torus', 'action', 'we', 'prove', 'vanishing', 'theorems', 'for', 'toric', 'polyhedra', 'we', 'also', 'give', 'a', 'proof', 'of', 'the', 'e_1degeneration', 'of', 'hodge', 'to', 'de', 'rham', 'type', 'spectral', 'sequence', 'for', 'toric', 'polyhedra', 'in', 'any', 'characteristic', 'finally', 'we', 'give', 'a', 'very', 'powerful', 'extension', 'theorem', 'for', 'ample', 'line', 'bundles']] | [-0.23751294601058204, -0.0191927709263779, -0.1425692497323903, 0.13267013579348308, -0.12317454492643712, -0.17755014850713668, -0.021801111101734615, 0.31100134190822404, -0.28793504881480386, -0.14258332245997965, 0.13476497311300287, -0.18289861620389045, -0.12305669789572084, 0.23178023304642428, -0.2329065797052213, -0.046300392263450674, 0.0846754203195728, 0.013589185716155621, -0.11000627323260738, -0.31769112021558815, 0.46913940743321464, -0.06298538328458865, 0.20119970160285158, 0.12018138853212197, 0.11899235616955492, 0.009485010752483966, 0.057290048412387336, 0.010777161900131475, -0.18904463445921596, 0.16235398807533322, 0.3656252333155227, 0.11175867446166064, 0.12001969102799656, -0.3757003903655069, -0.13104981518838377, 0.21853941955441047, 0.10713148422332273, 0.09262073122792774, -0.03884617362304458, -0.22259485998028328, 0.1294305051218659, -0.12537121093307163, -0.264991171244118, -0.10634997408718817, 0.07592989403813605, 0.05525242906832506, -0.21221671937151798, -0.0812201630957018, 0.15803125122975972, 0.20188162189405706, -0.05104065727117279, -0.0915145281635757, -0.09613902048606958, -0.006963265135825154, -0.06043323429877914, 0.06663432956067106, 0.09070402489502043, -0.059540248446403043, -0.14991976687359432, 0.3542158440760677, -0.09365922604809471, -0.2498208572348905, 0.11278690675657893, -0.12164124348644345, -0.20134958718711185, 0.22826146550240026, 0.07414923723609675, 0.22226205184346154, 0.045147353472808995, 0.18357507295773498, -0.14792374412100467, 0.030659847582379978, 0.10391036009356852, 0.026531939091722644, 0.18836004096305087, 0.08784179498696984, 0.10434038785567122, 0.15533184588310264, -0.019982617762353685, -0.07076792144918785, -0.40158039053517675, -0.2550950205870091, -0.10977391237466937, 0.2351783225904145, -0.17619879106808053, -0.24273365570808805, 0.38520175080362057, -0.025783088863901203, 0.20143139493163853, 0.17589779192579924, 0.21719402672042923, 0.009516752635439238, 0.006772687311269461, 0.036512404776340913, 0.09049599901551292, 0.23248394523998575, -0.03405990382094705, -0.10588960900222735, -0.07324568159316504, 0.28798270693403627] |
707.3179 | Combinatorial Aspects of Elliptic Curves | Given an elliptic curve C, we study here $N_k = #C(F_{q^k})$, the number of
points of C over the finite field F_{q^k}. This sequence of numbers, as k runs
over positive integers, has numerous remarkable properties of a combinatorial
flavor in addition to the usual number theoretical interpretations. In
particular we prove that $N_k = - W_k(q, - N_1)$ where W_k(q,t) is a
(q,t)-analogue of the number of spanning trees of the wheel graph. Additionally
we develop a determinantal formula for N_k where the eigenvalues can be
explicitly written in terms of q, N_1, and roots of unity. We also discuss here
a new sequence of bivariate polynomials related to the factorization of N_k,
which we refer to as elliptic cyclotomic polynomials because of their various
properties.
| math.CO math.NT | given an elliptic curve c we study here n_k cf_qk the number of points of c over the finite field f_qk this sequence of numbers as k runs over positive integers has numerous remarkable properties of a combinatorial flavor in addition to the usual number theoretical interpretations in particular we prove that n_k w_kq n_1 where w_kqt is a qtanalogue of the number of spanning trees of the wheel graph additionally we develop a determinantal formula for n_k where the eigenvalues can be explicitly written in terms of q n_1 and roots of unity we also discuss here a new sequence of bivariate polynomials related to the factorization of n_k which we refer to as elliptic cyclotomic polynomials because of their various properties | [['given', 'an', 'elliptic', 'curve', 'c', 'we', 'study', 'here', 'n_k', 'cf_qk', 'the', 'number', 'of', 'points', 'of', 'c', 'over', 'the', 'finite', 'field', 'f_qk', 'this', 'sequence', 'of', 'numbers', 'as', 'k', 'runs', 'over', 'positive', 'integers', 'has', 'numerous', 'remarkable', 'properties', 'of', 'a', 'combinatorial', 'flavor', 'in', 'addition', 'to', 'the', 'usual', 'number', 'theoretical', 'interpretations', 'in', 'particular', 'we', 'prove', 'that', 'n_k', 'w_kq', 'n_1', 'where', 'w_kqt', 'is', 'a', 'qtanalogue', 'of', 'the', 'number', 'of', 'spanning', 'trees', 'of', 'the', 'wheel', 'graph', 'additionally', 'we', 'develop', 'a', 'determinantal', 'formula', 'for', 'n_k', 'where', 'the', 'eigenvalues', 'can', 'be', 'explicitly', 'written', 'in', 'terms', 'of', 'q', 'n_1', 'and', 'roots', 'of', 'unity', 'we', 'also', 'discuss', 'here', 'a', 'new', 'sequence', 'of', 'bivariate', 'polynomials', 'related', 'to', 'the', 'factorization', 'of', 'n_k', 'which', 'we', 'refer', 'to', 'as', 'elliptic', 'cyclotomic', 'polynomials', 'because', 'of', 'their', 'various', 'properties']] | [-0.20672951420613875, 0.13138158459247887, -0.07736313778441399, 0.023748917629321416, -0.06926713660359382, -0.10670650068980952, 0.023843689070781694, 0.3116151207126677, -0.3121880882109205, -0.2573659342092772, 0.06377639803201116, -0.25245708477838585, -0.14868883725721388, 0.1985672128619626, -0.07187029317331811, 0.03818593456914338, 0.006901956235136216, 0.1161473567985619, -0.053273570688846424, -0.29166759961638794, 0.31789043655832455, -0.0488696404286505, 0.12691428765150098, 0.05042760800570249, 0.08973019025288523, -0.011524657768313773, 0.016155578677232066, -0.012373313901480287, -0.178211411641981, 0.09834001790441108, 0.2783361442697545, 0.15935675094175775, 0.24075531650839063, -0.373306750273332, -0.12108850906758259, 0.2446898137917742, 0.21682878582311485, 0.011031874448720676, -0.014575688465265557, -0.15065216788789257, 0.14247648182014624, -0.176523974838589, -0.13709345480892807, -0.062486046892202766, 0.06074500382043577, 0.08600686015755249, -0.2960595674812794, 0.0053529750223484975, 0.0885111521036985, 0.12759917609704038, 0.042842356408558165, -0.2219712850715344, 0.0013573179923696444, 0.05534808057903622, 0.059360878020136926, -0.0030555097066098822, 0.01431524467188865, -0.11607595848812101, -0.13265130792327304, 0.3635459504711131, -0.05533768842772891, -0.19016282589485248, 0.10129314051009715, -0.16405617747611057, -0.18108900514586518, 0.10188248787308112, 0.16117381221605076, 0.17343381250587603, -0.046830224044000106, 0.13976541229785652, -0.15105379762438437, 0.10234252548155685, 0.12496055706093709, 0.032821420634475844, 0.17056075263147552, 0.0368313799748042, 0.036963115865364674, 0.18005234452333146, -0.01955299781014522, -0.055258724264179666, -0.3415333578983943, -0.20646801985955487, -0.21560106139319637, 0.11287953730206937, -0.16683172034863675, -0.21236008567890774, 0.433756662455077, 0.12352385428966954, 0.25507147097960114, 0.10693694009775451, 0.22334298341690254, 0.12510724044113886, 0.008750718380421555, 0.02524136438748125, 0.08151562802183131, 0.19600627587642522, 0.030569268737842017, -0.16881137257053827, 0.020655939353552335, 0.1286072808279035] |
707.318 | Two Trends of Composition Variation of Zircons and Their Significance in
Origin Discrimination | Zircons can crystallize in a wide range of physical and chemical conditions.
At the same time, they have high stability and durability. Therefore zircons
can grow and survive in a variety of geological processes. In addition, the
diffusivity of chemical compositions in their crystals is very low.
Consequently,we can trace back the evolution history of the planetary materials
containing zircon by zircon U-Th-Pb geochronology and geochemistry studies.
However, this depends on our ability to decipher its genesis,namely magmatic or
metamorphic origins. In this paper, we have found that there are obvious
differences between magmatic and metamorphic zircons in their chemical
composition zonations. The magmatic zircons exhibit composition zonation of
increasing HfO2, and (UO2 + ThO2) content and decreasing ZrO2/HfO2 ratio and
ZrO2 content from inner to outer parts within each growth zone or from core to
rim of a crysta1. The metamorphic zircons exhibit compositional variation trend
opposite to that of magmatic (igneous) zircons,tending to decrease in HfO2,
(UO2+ ThO2)and increase in ZrO2/HfO2 ratio and ZrO2 from core to rim of a
crystal. These chemical composition variation trends are thought to be
controlled by the crystal chemical features of ions themselves and the
evolution trends of magmatism and metamorphism respectively, and can be used to
identify the genesis of zircons. Their morphological features are also
discussed.
| physics.geo-ph astro-ph cond-mat.mtrl-sci | zircons can crystallize in a wide range of physical and chemical conditions at the same time they have high stability and durability therefore zircons can grow and survive in a variety of geological processes in addition the diffusivity of chemical compositions in their crystals is very low consequentlywe can trace back the evolution history of the planetary materials containing zircon by zircon uthpb geochronology and geochemistry studies however this depends on our ability to decipher its genesisnamely magmatic or metamorphic origins in this paper we have found that there are obvious differences between magmatic and metamorphic zircons in their chemical composition zonations the magmatic zircons exhibit composition zonation of increasing hfo2 and uo2 tho2 content and decreasing zro2hfo2 ratio and zro2 content from inner to outer parts within each growth zone or from core to rim of a crysta1 the metamorphic zircons exhibit compositional variation trend opposite to that of magmatic igneous zirconstending to decrease in hfo2 uo2 tho2and increase in zro2hfo2 ratio and zro2 from core to rim of a crystal these chemical composition variation trends are thought to be controlled by the crystal chemical features of ions themselves and the evolution trends of magmatism and metamorphism respectively and can be used to identify the genesis of zircons their morphological features are also discussed | [['zircons', 'can', 'crystallize', 'in', 'a', 'wide', 'range', 'of', 'physical', 'and', 'chemical', 'conditions', 'at', 'the', 'same', 'time', 'they', 'have', 'high', 'stability', 'and', 'durability', 'therefore', 'zircons', 'can', 'grow', 'and', 'survive', 'in', 'a', 'variety', 'of', 'geological', 'processes', 'in', 'addition', 'the', 'diffusivity', 'of', 'chemical', 'compositions', 'in', 'their', 'crystals', 'is', 'very', 'low', 'consequentlywe', 'can', 'trace', 'back', 'the', 'evolution', 'history', 'of', 'the', 'planetary', 'materials', 'containing', 'zircon', 'by', 'zircon', 'uthpb', 'geochronology', 'and', 'geochemistry', 'studies', 'however', 'this', 'depends', 'on', 'our', 'ability', 'to', 'decipher', 'its', 'genesisnamely', 'magmatic', 'or', 'metamorphic', 'origins', 'in', 'this', 'paper', 'we', 'have', 'found', 'that', 'there', 'are', 'obvious', 'differences', 'between', 'magmatic', 'and', 'metamorphic', 'zircons', 'in', 'their', 'chemical', 'composition', 'zonations', 'the', 'magmatic', 'zircons', 'exhibit', 'composition', 'zonation', 'of', 'increasing', 'hfo2', 'and', 'uo2', 'tho2', 'content', 'and', 'decreasing', 'zro2hfo2', 'ratio', 'and', 'zro2', 'content', 'from', 'inner', 'to', 'outer', 'parts', 'within', 'each', 'growth', 'zone', 'or', 'from', 'core', 'to', 'rim', 'of', 'a', 'crysta1', 'the', 'metamorphic', 'zircons', 'exhibit', 'compositional', 'variation', 'trend', 'opposite', 'to', 'that', 'of', 'magmatic', 'igneous', 'zirconstending', 'to', 'decrease', 'in', 'hfo2', 'uo2', 'tho2and', 'increase', 'in', 'zro2hfo2', 'ratio', 'and', 'zro2', 'from', 'core', 'to', 'rim', 'of', 'a', 'crystal', 'these', 'chemical', 'composition', 'variation', 'trends', 'are', 'thought', 'to', 'be', 'controlled', 'by', 'the', 'crystal', 'chemical', 'features', 'of', 'ions', 'themselves', 'and', 'the', 'evolution', 'trends', 'of', 'magmatism', 'and', 'metamorphism', 'respectively', 'and', 'can', 'be', 'used', 'to', 'identify', 'the', 'genesis', 'of', 'zircons', 'their', 'morphological', 'features', 'are', 'also', 'discussed']] | [-0.05491852323813186, 0.18898449375842247, -0.09355703091057258, 0.01102390081641759, -0.04152079705348345, -0.04577457527301394, 0.05705801705533469, 0.42717042883287704, -0.3154294457140102, -0.33735380328870845, 0.08892860506888497, -0.2772225317986388, -0.13244007545875378, 0.1389286684465002, -0.06297205852090636, -0.020304085143438528, -0.012232874776348115, -0.060801552491636865, -0.08952586434427293, -0.2164525663041238, 0.247654829818185, 0.07644134047819952, 0.2399073302659204, 0.0659998870024716, 0.007780319645123012, -0.13229381402906207, 0.028292615749788554, 0.003351370447524712, -0.13649305925209076, 0.07498623641947524, 0.2656885136685303, 0.07277676484349259, 0.17923945344763956, -0.47337035607528744, -0.22404134845245255, 0.05763297827032052, 0.12007038403774777, 0.041512397755133476, -0.09063732952690509, -0.19828501265299947, 0.10716562550381253, -0.1462387736194932, -0.12697546254023553, -0.03642723231373631, 0.04764947390994815, 0.04860172847494189, -0.16377868452644126, 0.10544952462885739, 0.04885958036926963, 0.14333586314131627, -0.1485916968322533, -0.15169505472183584, -0.13636110920534786, 0.16660264598285895, 0.04079415694948032, -0.026936860494961756, 0.2285523784110706, -0.0780409466760438, -0.025586297414733464, 0.4066874058872604, -0.07277786860612341, -0.07313036343136259, 0.2904294315217571, -0.1855727756556355, -0.1033350768227255, 0.1467554094993986, 0.18168048575491552, 0.07802825520911286, -0.14043882557828175, 0.002195470237967438, 0.04743909178096712, 0.16872826280099068, 0.14698231282519203, 0.01596168987564386, 0.2715150459411077, 0.16329732153934548, -0.034942394984734546, 0.11405468962052792, -0.07380384459097883, -0.04394892277418854, -0.15594524081571376, -0.2251207504742311, -0.08327880369735498, 0.009384636464194534, -0.09864681198414299, -0.1962027523296765, 0.3501390221386114, 0.10822662977227701, 0.20412974282831808, -0.03651650142566296, 0.17862239717528153, -0.0018957011801587265, 0.1648890578575682, -0.006112351017652088, 0.23095435762564032, 0.13851346748181437, 0.17108596071075097, -0.26640864517250096, 0.21446404393325652, -0.020522309182006777] |
707.3181 | The Minerageny of Two Groups of Zircons from Plagioclase- Amphibolite of
Mayuan Group in Northern Fujian | Zircons can crystallize in a wide range of physical and chemical conditions.
At the same time, they have high stability and durability. Therefore zircons
can grow and survive in a variety of geological processes. In addition, the
diffusivity of chemical compositions in their crystals is very low.
Consequently,we can trace back the evolution history of the planetary materials
containing zircon with zircon U-Th-Pb geochronology and geochemistry studies.
However, this depends on our ability to decipher its genesis, namely magmatic
or metamorphic origins. In this paper, magmatic and metamorphic zircons were
found from plagioclase-amphibolite samples. Their geneses have been determined
by zircon morphology, chemical composition zonations and geological field
setting combined with their zircon U-Th-Pb ages. We have found obvious
differences in micro-scale Raman spectra between these magmatic and metamorphic
zircons. The magmatic zircons exhibit a high sloping background in their Raman
spectra, but the metamorphic zircons exhibit a low horizontal background in
their Raman spectra, which suggest that the magmatic zircons may contain a much
higher concentration of fluorescent impurities than the metamorphic zircons.
Moreover, reverse variation trends in Raman spectrum peak intensities from core
to rim of a crystal between the magmatic and metamorphic zircons have been
found. We think that this can be attributed to their reverse chemical
composition zonations. These differences can be used to distinguish magmatic
and metamorphic zircons.
| physics.geo-ph astro-ph | zircons can crystallize in a wide range of physical and chemical conditions at the same time they have high stability and durability therefore zircons can grow and survive in a variety of geological processes in addition the diffusivity of chemical compositions in their crystals is very low consequentlywe can trace back the evolution history of the planetary materials containing zircon with zircon uthpb geochronology and geochemistry studies however this depends on our ability to decipher its genesis namely magmatic or metamorphic origins in this paper magmatic and metamorphic zircons were found from plagioclaseamphibolite samples their geneses have been determined by zircon morphology chemical composition zonations and geological field setting combined with their zircon uthpb ages we have found obvious differences in microscale raman spectra between these magmatic and metamorphic zircons the magmatic zircons exhibit a high sloping background in their raman spectra but the metamorphic zircons exhibit a low horizontal background in their raman spectra which suggest that the magmatic zircons may contain a much higher concentration of fluorescent impurities than the metamorphic zircons moreover reverse variation trends in raman spectrum peak intensities from core to rim of a crystal between the magmatic and metamorphic zircons have been found we think that this can be attributed to their reverse chemical composition zonations these differences can be used to distinguish magmatic and metamorphic zircons | [['zircons', 'can', 'crystallize', 'in', 'a', 'wide', 'range', 'of', 'physical', 'and', 'chemical', 'conditions', 'at', 'the', 'same', 'time', 'they', 'have', 'high', 'stability', 'and', 'durability', 'therefore', 'zircons', 'can', 'grow', 'and', 'survive', 'in', 'a', 'variety', 'of', 'geological', 'processes', 'in', 'addition', 'the', 'diffusivity', 'of', 'chemical', 'compositions', 'in', 'their', 'crystals', 'is', 'very', 'low', 'consequentlywe', 'can', 'trace', 'back', 'the', 'evolution', 'history', 'of', 'the', 'planetary', 'materials', 'containing', 'zircon', 'with', 'zircon', 'uthpb', 'geochronology', 'and', 'geochemistry', 'studies', 'however', 'this', 'depends', 'on', 'our', 'ability', 'to', 'decipher', 'its', 'genesis', 'namely', 'magmatic', 'or', 'metamorphic', 'origins', 'in', 'this', 'paper', 'magmatic', 'and', 'metamorphic', 'zircons', 'were', 'found', 'from', 'plagioclaseamphibolite', 'samples', 'their', 'geneses', 'have', 'been', 'determined', 'by', 'zircon', 'morphology', 'chemical', 'composition', 'zonations', 'and', 'geological', 'field', 'setting', 'combined', 'with', 'their', 'zircon', 'uthpb', 'ages', 'we', 'have', 'found', 'obvious', 'differences', 'in', 'microscale', 'raman', 'spectra', 'between', 'these', 'magmatic', 'and', 'metamorphic', 'zircons', 'the', 'magmatic', 'zircons', 'exhibit', 'a', 'high', 'sloping', 'background', 'in', 'their', 'raman', 'spectra', 'but', 'the', 'metamorphic', 'zircons', 'exhibit', 'a', 'low', 'horizontal', 'background', 'in', 'their', 'raman', 'spectra', 'which', 'suggest', 'that', 'the', 'magmatic', 'zircons', 'may', 'contain', 'a', 'much', 'higher', 'concentration', 'of', 'fluorescent', 'impurities', 'than', 'the', 'metamorphic', 'zircons', 'moreover', 'reverse', 'variation', 'trends', 'in', 'raman', 'spectrum', 'peak', 'intensities', 'from', 'core', 'to', 'rim', 'of', 'a', 'crystal', 'between', 'the', 'magmatic', 'and', 'metamorphic', 'zircons', 'have', 'been', 'found', 'we', 'think', 'that', 'this', 'can', 'be', 'attributed', 'to', 'their', 'reverse', 'chemical', 'composition', 'zonations', 'these', 'differences', 'can', 'be', 'used', 'to', 'distinguish', 'magmatic', 'and', 'metamorphic', 'zircons']] | [-0.031820546121175006, 0.1939025645976496, -0.13150751674421937, 0.0501405252825452, -0.0577010864136019, -0.06189031509875513, 0.03521104383351583, 0.4485839498522985, -0.30349768362026913, -0.33248063879976936, 0.08401811212617988, -0.26126678350071114, -0.1420621136465605, 0.17482563104954557, -0.06799613222949677, -0.018057433796285122, -0.00192991225887929, -0.05011443231099596, -0.059441698418284124, -0.20191866430340688, 0.22254744359199796, 0.06603639879104523, 0.2666430402775756, 0.04974518637886053, 0.01758714714077058, -0.1466888359491923, 0.015801975700735778, -0.01254550174826773, -0.14355262613317538, 0.05158883481085099, 0.2766838486344126, 0.058335599851341464, 0.16867145756102242, -0.48503623521039346, -0.24699927429796556, 0.0935134707534736, 0.11936045318909057, 0.06712856016547612, -0.07446988824459196, -0.2112996116540655, 0.09533181987877994, -0.13038609256791706, -0.11566497634064306, -0.05909684791831669, 0.022161199785202642, 0.028179184879230854, -0.14217930482511684, 0.1030901432192574, 0.03511916459716336, 0.1803116595901146, -0.14442832138009687, -0.13285178078762214, -0.13136463457307368, 0.15451312699535577, 0.03314524439574106, -0.05698069081241097, 0.21375823378414, -0.0616808167694405, -0.054278097807656266, 0.3967090475431702, -0.07084268283211419, -0.045080996349612296, 0.3032751527807868, -0.20527982419180507, -0.11257569565488076, 0.16271217388566583, 0.16285941991268085, 0.09953173283521119, -0.16293586638697363, -0.005803592765267502, 0.043080334814877864, 0.17071510833763592, 0.170376991769215, 0.004864050780196447, 0.27589344772350816, 0.13406022582706567, -0.05583793243712133, 0.10817325175299335, -0.1146975023439154, 0.009821671961076759, -0.12640362169078617, -0.21868550554882768, -0.07468344054293928, 0.05154469186494647, -0.08831312025309622, -0.20109374204499497, 0.34022202128166884, 0.10973376023157307, 0.19178460808135234, -0.029648689330274425, 0.17432714267927515, 0.005224810315921131, 0.16428026977007756, -0.02318928728870175, 0.25232341345651327, 0.14227881389753977, 0.1780977022712463, -0.2560069754065291, 0.2159375902286286, -0.029254552499214943] |
707.3182 | Collider Signals of Gravitational Fixed Points | Recent studies have shown that the poor perturbative behavior of General
Relativity in the ultraviolet regime may be ameliorated by the existence of a
non-Gaussian fixed point which renders the theory asymptotically safe and
possibly non-perturbatively renormalizable. This results in a running of the
(effective) gravitational coupling such that gravity becomes weaker at high
energies. We parameterize this effective coupling with a form factor and study
its consequences at the LHC and ILC in models with large extra dimensions or
warped extra dimensions. We find significant effects in the processes of
Kaluza-Klein (KK) graviton exchange or resonant KK graviton production in both
the Drell-Yan reaction as well as in $e^+e^-\to f\bar f$. On the otherhand,
processes leading to KK graviton emission show qualitatively less sensitivity
to the presence of a form factor. In addition, we examine tree-level
perturbative unitarity in $2\to 2$ gravity-mediated scattering and find that
this form factor produces a far better behaved amplitude at large center of
mass energies.
| hep-ph hep-ex hep-th | recent studies have shown that the poor perturbative behavior of general relativity in the ultraviolet regime may be ameliorated by the existence of a nongaussian fixed point which renders the theory asymptotically safe and possibly nonperturbatively renormalizable this results in a running of the effective gravitational coupling such that gravity becomes weaker at high energies we parameterize this effective coupling with a form factor and study its consequences at the lhc and ilc in models with large extra dimensions or warped extra dimensions we find significant effects in the processes of kaluzaklein kk graviton exchange or resonant kk graviton production in both the drellyan reaction as well as in eeto fbar f on the otherhand processes leading to kk graviton emission show qualitatively less sensitivity to the presence of a form factor in addition we examine treelevel perturbative unitarity in 2to 2 gravitymediated scattering and find that this form factor produces a far better behaved amplitude at large center of mass energies | [['recent', 'studies', 'have', 'shown', 'that', 'the', 'poor', 'perturbative', 'behavior', 'of', 'general', 'relativity', 'in', 'the', 'ultraviolet', 'regime', 'may', 'be', 'ameliorated', 'by', 'the', 'existence', 'of', 'a', 'nongaussian', 'fixed', 'point', 'which', 'renders', 'the', 'theory', 'asymptotically', 'safe', 'and', 'possibly', 'nonperturbatively', 'renormalizable', 'this', 'results', 'in', 'a', 'running', 'of', 'the', 'effective', 'gravitational', 'coupling', 'such', 'that', 'gravity', 'becomes', 'weaker', 'at', 'high', 'energies', 'we', 'parameterize', 'this', 'effective', 'coupling', 'with', 'a', 'form', 'factor', 'and', 'study', 'its', 'consequences', 'at', 'the', 'lhc', 'and', 'ilc', 'in', 'models', 'with', 'large', 'extra', 'dimensions', 'or', 'warped', 'extra', 'dimensions', 'we', 'find', 'significant', 'effects', 'in', 'the', 'processes', 'of', 'kaluzaklein', 'kk', 'graviton', 'exchange', 'or', 'resonant', 'kk', 'graviton', 'production', 'in', 'both', 'the', 'drellyan', 'reaction', 'as', 'well', 'as', 'in', 'eeto', 'fbar', 'f', 'on', 'the', 'otherhand', 'processes', 'leading', 'to', 'kk', 'graviton', 'emission', 'show', 'qualitatively', 'less', 'sensitivity', 'to', 'the', 'presence', 'of', 'a', 'form', 'factor', 'in', 'addition', 'we', 'examine', 'treelevel', 'perturbative', 'unitarity', 'in', '2to', '2', 'gravitymediated', 'scattering', 'and', 'find', 'that', 'this', 'form', 'factor', 'produces', 'a', 'far', 'better', 'behaved', 'amplitude', 'at', 'large', 'center', 'of', 'mass', 'energies']] | [-0.13077528249935166, 0.20409312501066812, -0.07580122022108422, 0.14601764504087766, -0.04427253486111438, -0.13796377787653955, 0.01915994719070394, 0.3070457715075463, -0.18420201275543666, -0.2689111969623439, 0.02019214219942597, -0.2804924973551138, -0.10044665614223498, 0.12615517071551746, 0.03430405302536616, 0.021701201231342476, 0.04430424795956006, 0.022997251283492386, -0.05203440435443441, -0.2152630655284695, 0.326742050005123, 0.10054567337530539, 0.20811531800391544, 0.10934968422782136, 0.05683334452462279, 0.02054529725344001, -0.0019589050742653833, -0.025936408169613578, -0.10509634227128117, 0.0562415721606719, 0.24164051983756013, 0.03405300311364785, 0.18082175514212362, -0.37619825874535756, -0.19831973979433562, 0.11003727534854854, 0.17613288268653882, 0.1422167207340043, -0.03805505439141811, -0.25582013834543804, 0.06401378286278082, -0.21238756110822712, -0.15804295195266604, -0.07875283347891161, 0.0023055501615651596, -0.12993166592607366, -0.3143002161135276, 0.100134688301262, -0.0031239799803042395, 0.0026366442778251236, 0.004108824101017995, -0.13633684080272315, -0.053206917500686776, 0.03190416036415155, 0.155975007282478, 0.04488471058361882, 0.15295398623659562, -0.2007801233766382, -0.1331195081828484, 0.36612982846247494, -0.14499795394317236, -0.18280246336139555, 0.2159993528003264, -0.22782938583914972, -0.16332582476905283, 0.15245230605158908, 0.19450841149757903, 0.11437295551697815, -0.14707312506140657, 0.19129638098910404, 0.0324077358710821, 0.15121833627046816, 0.14436650897065798, 0.10182165917487712, 0.21585643440801192, 0.14628015333257707, 0.02661320710422494, 0.08672184541959453, -0.03268788197727437, -0.06759796312285794, -0.39194339114804694, -0.06796341096223504, -0.05988899847265494, 0.11618528224780787, -0.1430830206247018, -0.13661887054960387, 0.31219216315564413, 0.11304648558934001, 0.22669260375874323, 0.04894184006412548, 0.28617662883559125, 0.14175544281268815, 0.11722768427815611, 0.07969718070321337, 0.3473059156633638, 0.08849795278374474, 0.06722352819166572, -0.24613995687967097, -0.030177880037593207, 0.02574045433415629] |
707.3183 | Ferromagnetism as a universal feature of nanoparticles of the otherwise
nonmagnetic oxides | Room-temperature ferromagnetism has been observed in the nanoparticles (7 -
30 nm dia) of nonmagnetic oxides such as CeO2, Al2O3, ZnO, In2O3 and SnO2. The
saturated magnetic moments in CeO_2 and Al_2O_3 nanoparticles are comparable to
those observed in transition metal doped wide band semiconducting oxides. The
other oxide nanoparticles show somewhat lower values of magnetization but with
a clear hysteretic behavior. Conversely, the bulk samples obtained by sintering
the nanoparticles at high temperatures in air or oxygen became diamagnetic. As
there were no magnetic impurities present, we assume that the origin of
ferromagnetism may be due to the exchange interactions between localized
electron spin moments resulting from oxygen vacancies at the surfaces of
nanoparticles. We suggest that ferromagnetism may be a universal characteristic
of nanopartilces of metal oxides
| cond-mat.mtrl-sci | roomtemperature ferromagnetism has been observed in the nanoparticles 7 30 nm dia of nonmagnetic oxides such as ceo2 al2o3 zno in2o3 and sno2 the saturated magnetic moments in ceo_2 and al_2o_3 nanoparticles are comparable to those observed in transition metal doped wide band semiconducting oxides the other oxide nanoparticles show somewhat lower values of magnetization but with a clear hysteretic behavior conversely the bulk samples obtained by sintering the nanoparticles at high temperatures in air or oxygen became diamagnetic as there were no magnetic impurities present we assume that the origin of ferromagnetism may be due to the exchange interactions between localized electron spin moments resulting from oxygen vacancies at the surfaces of nanoparticles we suggest that ferromagnetism may be a universal characteristic of nanopartilces of metal oxides | [['roomtemperature', 'ferromagnetism', 'has', 'been', 'observed', 'in', 'the', 'nanoparticles', '7', '30', 'nm', 'dia', 'of', 'nonmagnetic', 'oxides', 'such', 'as', 'ceo2', 'al2o3', 'zno', 'in2o3', 'and', 'sno2', 'the', 'saturated', 'magnetic', 'moments', 'in', 'ceo_2', 'and', 'al_2o_3', 'nanoparticles', 'are', 'comparable', 'to', 'those', 'observed', 'in', 'transition', 'metal', 'doped', 'wide', 'band', 'semiconducting', 'oxides', 'the', 'other', 'oxide', 'nanoparticles', 'show', 'somewhat', 'lower', 'values', 'of', 'magnetization', 'but', 'with', 'a', 'clear', 'hysteretic', 'behavior', 'conversely', 'the', 'bulk', 'samples', 'obtained', 'by', 'sintering', 'the', 'nanoparticles', 'at', 'high', 'temperatures', 'in', 'air', 'or', 'oxygen', 'became', 'diamagnetic', 'as', 'there', 'were', 'no', 'magnetic', 'impurities', 'present', 'we', 'assume', 'that', 'the', 'origin', 'of', 'ferromagnetism', 'may', 'be', 'due', 'to', 'the', 'exchange', 'interactions', 'between', 'localized', 'electron', 'spin', 'moments', 'resulting', 'from', 'oxygen', 'vacancies', 'at', 'the', 'surfaces', 'of', 'nanoparticles', 'we', 'suggest', 'that', 'ferromagnetism', 'may', 'be', 'a', 'universal', 'characteristic', 'of', 'nanopartilces', 'of', 'metal', 'oxides']] | [-0.08383912598809565, 0.25577809527428363, 0.023699197314558624, 0.02479037591512865, 0.02964051779429245, -0.1701199734348833, 0.09350932651844726, 0.4802018154676505, -0.21338121764023613, -0.33107522834004377, -0.01786478501414572, -0.397710701553371, -0.08633275195501569, 0.14834967328741502, 0.0344573962868844, -0.0392919398923762, -0.06359705452506584, -0.11864673836737887, -0.11025401701652042, -0.19890278553971508, 0.20574262191809156, 0.014615171840121075, 0.295624990074888, 0.13935324112980033, -0.0072721431992478726, -0.08051845795790276, 0.2278857503441991, 0.04170792012504764, -0.13317597913796422, 0.03176811473869433, 0.315866938051511, -0.17842009343668877, 0.16132921476914422, -0.5117623345765072, -0.21975055250419875, 0.0049017980845102406, 0.13306059572922696, 0.15405290460903345, -0.16791931884619957, -0.24918052999258744, 0.0809215261306665, -0.0699379515254826, -0.11799604081600083, -0.04937881687069385, -0.02296893389558229, 0.007873888096353795, -0.24390236134310878, 0.08827619983697325, 0.0924031913544484, 0.16030910906132576, -0.14945448003892647, -0.2256493962362526, -0.15021035772396296, 0.008796674069237169, 0.08110681556047887, 0.020391948903382823, 0.26205870660212566, -0.05335828736076117, -0.07059587054981256, 0.35445054061710835, -0.03617528472535723, 0.007033849113041491, 0.22151384617047987, -0.2551330772492536, -0.024167838829063523, 0.2587854429551466, 0.0887839865419779, 0.11999013490872237, -0.17241590990507094, 0.0561496523625078, 0.017428224666161448, 0.23344433989639826, 0.09270639225334575, 0.08849518990609795, 0.2698410150382345, 0.20665458776240098, -0.016163324354231123, 0.1357384056249802, -0.10691339694931516, 0.050592643839461125, -0.09666916315409897, -0.2482471862444874, -0.23271399919735633, 0.08677672404121226, -0.140867304980643, -0.2527208519131532, 0.30319802245303007, 0.1279713172084234, 0.13839380151599529, -0.11084310782662644, 0.16620553370315846, 0.03257173077042002, 0.10268087648441941, -0.007364307588890312, 0.28283433950557485, 0.19697544244154702, 0.16734160306518825, -0.25583129108326114, 0.19881983202016787, -0.03143478534688557] |
707.3184 | A Raman spectroscopic study of zircons on micro-scale and Its
significance in explaining the origin of zircons | The magmatic and metamorphic zircons were investigated with Raman spectrum
microprobe analysis. We found notable differences between these two kinds of
zircons exhibited by the variation trend of Raman peak intensity from core to
rim of a crystal. In magmatic zircons, the intensity and the ratio H/W of Raman
spectrum peaks gradually decrease from core to rim of a crystal, which is
produced by an increase in metamictization degree and suggests an increase in U
and Th concentrations from core to rim. In metamorphic zircons, there are two
kinds of crystals according to their Raman spectra: the first group of zircons
exhibits a variation trend opposite to those of magmatic zircons, tending to
increase in the Raman peak intensity and H/W value from core to rim of a
crystal, which is produced by a decrease in metamictization degree and
indicates a decrease of U and Th concentrations from core to rim of a crystal.
The second group of zircons exhibits no change in Raman peak intensity and H/W
value through a crystal. The data of infrared and Raman spectra of these
crystals show that they are well crystallized and have no lattice destruction
induced by metamictization, and are thought to crystallize in high temperature
stages of metamorphism. During these stages, the U and Th ions have been
removed by metamorphic fluids from the parent rocks of these zircons. The other
difference between magmatic and metamorphic zircons is the background level of
their Raman spectra, which is high and sloped in magmatic zircons, but low and
horizontal in metamorphic zircons. The differences between magmatic and
metamorphic zircons can be used to identify the genesis of zircons and
understand the origin and evolution history of their parent rocks.
| physics.geo-ph astro-ph physics.chem-ph | the magmatic and metamorphic zircons were investigated with raman spectrum microprobe analysis we found notable differences between these two kinds of zircons exhibited by the variation trend of raman peak intensity from core to rim of a crystal in magmatic zircons the intensity and the ratio hw of raman spectrum peaks gradually decrease from core to rim of a crystal which is produced by an increase in metamictization degree and suggests an increase in u and th concentrations from core to rim in metamorphic zircons there are two kinds of crystals according to their raman spectra the first group of zircons exhibits a variation trend opposite to those of magmatic zircons tending to increase in the raman peak intensity and hw value from core to rim of a crystal which is produced by a decrease in metamictization degree and indicates a decrease of u and th concentrations from core to rim of a crystal the second group of zircons exhibits no change in raman peak intensity and hw value through a crystal the data of infrared and raman spectra of these crystals show that they are well crystallized and have no lattice destruction induced by metamictization and are thought to crystallize in high temperature stages of metamorphism during these stages the u and th ions have been removed by metamorphic fluids from the parent rocks of these zircons the other difference between magmatic and metamorphic zircons is the background level of their raman spectra which is high and sloped in magmatic zircons but low and horizontal in metamorphic zircons the differences between magmatic and metamorphic zircons can be used to identify the genesis of zircons and understand the origin and evolution history of their parent rocks | [['the', 'magmatic', 'and', 'metamorphic', 'zircons', 'were', 'investigated', 'with', 'raman', 'spectrum', 'microprobe', 'analysis', 'we', 'found', 'notable', 'differences', 'between', 'these', 'two', 'kinds', 'of', 'zircons', 'exhibited', 'by', 'the', 'variation', 'trend', 'of', 'raman', 'peak', 'intensity', 'from', 'core', 'to', 'rim', 'of', 'a', 'crystal', 'in', 'magmatic', 'zircons', 'the', 'intensity', 'and', 'the', 'ratio', 'hw', 'of', 'raman', 'spectrum', 'peaks', 'gradually', 'decrease', 'from', 'core', 'to', 'rim', 'of', 'a', 'crystal', 'which', 'is', 'produced', 'by', 'an', 'increase', 'in', 'metamictization', 'degree', 'and', 'suggests', 'an', 'increase', 'in', 'u', 'and', 'th', 'concentrations', 'from', 'core', 'to', 'rim', 'in', 'metamorphic', 'zircons', 'there', 'are', 'two', 'kinds', 'of', 'crystals', 'according', 'to', 'their', 'raman', 'spectra', 'the', 'first', 'group', 'of', 'zircons', 'exhibits', 'a', 'variation', 'trend', 'opposite', 'to', 'those', 'of', 'magmatic', 'zircons', 'tending', 'to', 'increase', 'in', 'the', 'raman', 'peak', 'intensity', 'and', 'hw', 'value', 'from', 'core', 'to', 'rim', 'of', 'a', 'crystal', 'which', 'is', 'produced', 'by', 'a', 'decrease', 'in', 'metamictization', 'degree', 'and', 'indicates', 'a', 'decrease', 'of', 'u', 'and', 'th', 'concentrations', 'from', 'core', 'to', 'rim', 'of', 'a', 'crystal', 'the', 'second', 'group', 'of', 'zircons', 'exhibits', 'no', 'change', 'in', 'raman', 'peak', 'intensity', 'and', 'hw', 'value', 'through', 'a', 'crystal', 'the', 'data', 'of', 'infrared', 'and', 'raman', 'spectra', 'of', 'these', 'crystals', 'show', 'that', 'they', 'are', 'well', 'crystallized', 'and', 'have', 'no', 'lattice', 'destruction', 'induced', 'by', 'metamictization', 'and', 'are', 'thought', 'to', 'crystallize', 'in', 'high', 'temperature', 'stages', 'of', 'metamorphism', 'during', 'these', 'stages', 'the', 'u', 'and', 'th', 'ions', 'have', 'been', 'removed', 'by', 'metamorphic', 'fluids', 'from', 'the', 'parent', 'rocks', 'of', 'these', 'zircons', 'the', 'other', 'difference', 'between', 'magmatic', 'and', 'metamorphic', 'zircons', 'is', 'the', 'background', 'level', 'of', 'their', 'raman', 'spectra', 'which', 'is', 'high', 'and', 'sloped', 'in', 'magmatic', 'zircons', 'but', 'low', 'and', 'horizontal', 'in', 'metamorphic', 'zircons', 'the', 'differences', 'between', 'magmatic', 'and', 'metamorphic', 'zircons', 'can', 'be', 'used', 'to', 'identify', 'the', 'genesis', 'of', 'zircons', 'and', 'understand', 'the', 'origin', 'and', 'evolution', 'history', 'of', 'their', 'parent', 'rocks']] | [-0.05264992026980133, 0.18371952116646936, -0.09161059902264522, -0.004562465824069573, -0.010437516551942312, -0.0679849059291679, 0.06864417836369648, 0.4319794994414217, -0.3043660076882143, -0.3215638222335675, 0.06660087479985079, -0.32332925896088666, -0.11672789983388682, 0.15650769788039184, -0.03654732140940386, -0.02699463470298406, -0.008020050876604562, -0.015544856050201542, -0.053402655238165175, -0.18110557767998922, 0.2598689153197814, 0.07743082760501054, 0.2899305878721594, 0.03914338394257051, 0.03022815468208213, -0.10071710897186263, 0.01713026334756295, -0.003286423667406678, -0.10044454235247832, 0.06131578814010364, 0.2561879384370482, 0.04314262453072633, 0.1775493789818366, -0.4432480411532407, -0.19361245064300947, 0.06541447061109129, 0.11406192442864649, 0.049440646710580904, -0.04961709130084845, -0.22318881977401622, 0.0875859417304579, -0.13637640996572767, -0.13348080688302724, -0.005309075676393207, 0.049001676886883026, 0.022878532633315643, -0.18330529032737486, 0.12735010943232247, 0.0417888705098474, 0.1601152649553089, -0.12493178048545586, -0.11955033905292907, -0.13911661365756545, 0.10229907661409385, 0.07710918878413528, 0.0022980243207152504, 0.17733241446394396, -0.08355840001828395, -0.06702090145766058, 0.38678644636606835, -0.0894446437950474, -0.0017823608969891821, 0.22055166669619772, -0.20959313443562316, -0.08919332727750802, 0.20245693926211003, 0.13319007207625677, 0.0791145236417814, -0.10678871256344906, -0.03503095693314379, 0.04418273337537071, 0.19837637061425778, 0.1615028003649135, -0.007414627521481183, 0.24629079417970318, 0.12255660827366074, -0.039852221418250275, 0.15808283005840262, -0.14310224237037705, -0.004131240376199667, -0.1888010735278363, -0.19556246443417158, -0.09569489075989508, 0.007109831676287642, -0.07545723650395672, -0.17055090800272887, 0.37036390493093124, 0.05081898285649144, 0.216941648876047, -0.047066250358874274, 0.18298003261166434, 0.060249143723362625, 0.13987498227555722, 0.011712945105468893, 0.26154339478442357, 0.15640301571123405, 0.13688653097748496, -0.27740374498504417, 0.13503991343224278, 0.00068592971477371] |
707.3185 | Random generation of finitely generated subgroups of a free group | We give an efficient algorithm to randomly generate finitely generated
subgroups of a given size, in a finite rank free group. Here, the size of a
subgroup is the number of vertices of its representation by a reduced graph
such as can be obtained by the method of Stallings foldings. Our algorithm
randomly generates a subgroup of a given size n, according to the uniform
distribution over size n subgroups. In the process, we give estimates of the
number of size n subgroups, of the average rank of size n subgroups, and of the
proportion of such subgroups that have finite index. Our algorithm has average
case complexity $\O(n)$ in the RAM model and $\O(n^2\log^2n)$ in the bitcost
model.
| math.GR math.CO | we give an efficient algorithm to randomly generate finitely generated subgroups of a given size in a finite rank free group here the size of a subgroup is the number of vertices of its representation by a reduced graph such as can be obtained by the method of stallings foldings our algorithm randomly generates a subgroup of a given size n according to the uniform distribution over size n subgroups in the process we give estimates of the number of size n subgroups of the average rank of size n subgroups and of the proportion of such subgroups that have finite index our algorithm has average case complexity on in the ram model and on2log2n in the bitcost model | [['we', 'give', 'an', 'efficient', 'algorithm', 'to', 'randomly', 'generate', 'finitely', 'generated', 'subgroups', 'of', 'a', 'given', 'size', 'in', 'a', 'finite', 'rank', 'free', 'group', 'here', 'the', 'size', 'of', 'a', 'subgroup', 'is', 'the', 'number', 'of', 'vertices', 'of', 'its', 'representation', 'by', 'a', 'reduced', 'graph', 'such', 'as', 'can', 'be', 'obtained', 'by', 'the', 'method', 'of', 'stallings', 'foldings', 'our', 'algorithm', 'randomly', 'generates', 'a', 'subgroup', 'of', 'a', 'given', 'size', 'n', 'according', 'to', 'the', 'uniform', 'distribution', 'over', 'size', 'n', 'subgroups', 'in', 'the', 'process', 'we', 'give', 'estimates', 'of', 'the', 'number', 'of', 'size', 'n', 'subgroups', 'of', 'the', 'average', 'rank', 'of', 'size', 'n', 'subgroups', 'and', 'of', 'the', 'proportion', 'of', 'such', 'subgroups', 'that', 'have', 'finite', 'index', 'our', 'algorithm', 'has', 'average', 'case', 'complexity', 'on', 'in', 'the', 'ram', 'model', 'and', 'on2log2n', 'in', 'the', 'bitcost', 'model']] | [-0.12390086950607977, 0.14453466598576398, -0.09805134862614007, -0.013330985634546147, -0.025833480210059274, -0.06575365632701413, 0.08864451237654282, 0.38150616801517495, -0.3023769947684417, -0.3332270337604144, 0.08844200067490465, -0.2646489149369931, -0.07137834812293492, 0.18657411129403292, -0.10182054792491371, -0.0001871923810478805, 0.03665400054147941, 0.1458195684382976, -0.006680479484326127, -0.31837183729300506, 0.2900896054747814, 0.0028662910069323193, 0.2496549302013591, -0.02326251614554706, 0.07937401054048185, 0.012027023020752911, -0.029082571422696997, 0.046573546507345985, -0.07688428026899524, 0.10782725678883114, 0.20550298899159594, 0.13086408663588434, 0.2843454046080173, -0.3758946107069062, -0.16049263699737898, 0.1975606296416688, 0.15878280459003427, 0.059479419773412964, -0.07162306850511675, -0.233926177524046, 0.1503048856324374, -0.1981281076037025, -0.1465519893661899, -0.0026870703293105304, 0.09355748763852516, 0.03368947992714959, -0.27345723890052254, 0.018428528089455123, 0.05794891752934052, 0.06824359188834994, -0.004404785096747958, -0.13530746497750534, -0.019435561881637423, 0.13656608843228826, 0.012172213153493337, 0.002697267711667691, 0.09945189705813083, -0.10029359964280926, -0.11162258031130848, 0.39414383246863294, -0.036841434166151085, -0.22794875132819734, 0.12166332825623705, -0.13123720464438704, -0.1313383437424772, 0.15305869376002731, 0.2032354234528365, 0.13971045429441462, -0.014132325569073022, 0.15880289510281173, -0.16171483200248646, 0.1693409941538032, 0.03467462808525158, -0.019841716518246774, 0.06834562058102782, 0.16697057684630914, 0.0908994780383783, 0.19305799932957043, -0.009367830465326748, 0.046228211982791326, -0.3164704177781182, -0.15926490940343022, -0.21972323947791325, 0.06985978924045813, -0.19386975112014995, -0.2157849778058165, 0.4407379417127724, 0.12001528092502159, 0.2130389369282303, 0.13223460787054847, 0.22717519740621417, 0.06198464295436171, 0.06401037485970153, 0.1381577801204018, 0.05542963318589885, 0.15660516034576932, -0.1094147160627595, -0.20062055977424448, 0.07547852090338908, 0.15831206646605822] |
707.3186 | Kinematic and stiffness analysis of the Orthoglide, a PKM with simple,
regular workspace and homogeneous performances | The Orthoglide is a Delta-type PKM dedicated to 3-axis rapid machining
applications that was originally developed at IRCCyN in 2000-2001 to meet the
advantages of both serial 3-axis machines (regular workspace and homogeneous
performances) and parallel kinematic architectures (good dynamic performances
and stiffness). This machine has three fixed parallel linear joints that are
mounted orthogonally. The geometric parameters of the Orthoglide were defined
as function of the size of a prescribed cubic Cartesian workspace that is free
of singularities and internal collision. The interesting features of the
Orthoglide are a regular Cartesian workspace shape, uniform performances in all
directions and good compactness. In this paper, a new method is proposed to
analyze the stiffness of overconstrained Delta-type manipulators, such as the
Orthoglide. The Orthoglide is then benchmarked according to geometric,
kinematic and stiffness criteria: workspace to footprint ratio, velocity and
force transmission factors, sensitivity to geometric errors, torsional
stiffness and translational stiffness.
| cs.RO | the orthoglide is a deltatype pkm dedicated to 3axis rapid machining applications that was originally developed at irccyn in 20002001 to meet the advantages of both serial 3axis machines regular workspace and homogeneous performances and parallel kinematic architectures good dynamic performances and stiffness this machine has three fixed parallel linear joints that are mounted orthogonally the geometric parameters of the orthoglide were defined as function of the size of a prescribed cubic cartesian workspace that is free of singularities and internal collision the interesting features of the orthoglide are a regular cartesian workspace shape uniform performances in all directions and good compactness in this paper a new method is proposed to analyze the stiffness of overconstrained deltatype manipulators such as the orthoglide the orthoglide is then benchmarked according to geometric kinematic and stiffness criteria workspace to footprint ratio velocity and force transmission factors sensitivity to geometric errors torsional stiffness and translational stiffness | [['the', 'orthoglide', 'is', 'a', 'deltatype', 'pkm', 'dedicated', 'to', '3axis', 'rapid', 'machining', 'applications', 'that', 'was', 'originally', 'developed', 'at', 'irccyn', 'in', '20002001', 'to', 'meet', 'the', 'advantages', 'of', 'both', 'serial', '3axis', 'machines', 'regular', 'workspace', 'and', 'homogeneous', 'performances', 'and', 'parallel', 'kinematic', 'architectures', 'good', 'dynamic', 'performances', 'and', 'stiffness', 'this', 'machine', 'has', 'three', 'fixed', 'parallel', 'linear', 'joints', 'that', 'are', 'mounted', 'orthogonally', 'the', 'geometric', 'parameters', 'of', 'the', 'orthoglide', 'were', 'defined', 'as', 'function', 'of', 'the', 'size', 'of', 'a', 'prescribed', 'cubic', 'cartesian', 'workspace', 'that', 'is', 'free', 'of', 'singularities', 'and', 'internal', 'collision', 'the', 'interesting', 'features', 'of', 'the', 'orthoglide', 'are', 'a', 'regular', 'cartesian', 'workspace', 'shape', 'uniform', 'performances', 'in', 'all', 'directions', 'and', 'good', 'compactness', 'in', 'this', 'paper', 'a', 'new', 'method', 'is', 'proposed', 'to', 'analyze', 'the', 'stiffness', 'of', 'overconstrained', 'deltatype', 'manipulators', 'such', 'as', 'the', 'orthoglide', 'the', 'orthoglide', 'is', 'then', 'benchmarked', 'according', 'to', 'geometric', 'kinematic', 'and', 'stiffness', 'criteria', 'workspace', 'to', 'footprint', 'ratio', 'velocity', 'and', 'force', 'transmission', 'factors', 'sensitivity', 'to', 'geometric', 'errors', 'torsional', 'stiffness', 'and', 'translational', 'stiffness']] | [-0.15745836270721875, 0.07679464517308301, -0.06297915845521186, -0.05197342798132204, -0.16602920971988505, -0.1741845753644348, -0.06234587731964175, 0.4292680538308464, -0.26565292277863545, -0.2862996294264265, 0.10033142319968504, -0.20898204529045247, -0.10869344697015262, 0.1689216746078608, -0.11332450478374467, 0.14678673629570863, 0.08169697346257683, 0.02731403141392787, -0.06519331039989514, -0.22844993721963347, 0.24910730017750451, 0.06105328584702587, 0.3295533329640564, 0.009393694480470578, 0.16817471075429288, 0.025435344664545386, 0.020346245314852383, 0.0691702006744986, -0.15572472093361667, 0.10990858273381539, 0.22611707999481281, 0.06904564541458201, 0.2022007562336512, -0.39365736052001776, -0.13331548948036998, 0.05326301974434357, 0.12212239776444651, 0.007923362788891322, 0.04256655892114443, -0.2497000286591509, 0.08776321487139764, -0.13779335370360823, -0.1543080336781905, -0.10232533607631922, 0.037896676552727035, 0.10624843693068742, -0.24593809258198904, 0.0006061376005068029, 0.05038352539199159, 0.14057240925582223, -0.06369545082194045, -0.11986202305630095, -0.046060447737354, 0.15011347678342932, 0.034184662070689036, 0.012339385842144685, 0.1629905013373661, -0.10069550030350097, -0.11525611814623087, 0.3941202466621211, 0.03891230201483459, -0.26927167753149805, 0.21053708825064332, -0.06488084988852375, -0.09208755749798576, 0.13645070992520472, 0.21157058275696872, 0.07265263510941479, -0.17368225986137986, 0.061696030067794616, 0.026526320885750465, 0.13100484152949465, 0.13045276023790633, -0.04199950724202944, 0.1345848043491263, 0.18795650131007852, 0.06236982327199688, 0.1684599071664515, -0.11219524589097618, -0.09973838146298046, -0.2813682472639668, -0.17198654713176534, -0.1547075012073803, -0.07231858521117829, -0.13079932113989917, -0.19326715490253837, 0.39486281367901127, 0.07422732636443566, 0.17092125019744822, 0.05818261044547207, 0.3879007143213561, -0.007399083331141523, 0.0868617644627863, 0.06762223198740303, 0.2547542372485623, 0.13916586668744313, 0.12233574241461036, -0.22514925640701366, 0.05659065720484298, 0.055903052522090116] |
707.3187 | The barnes G function and its relations with sums and products of
generalized Gamma convolution variables | We give a probabilistic interpretation for the Barnes G-function which
appears in random matrix theory and in analytic number theory in the important
moments conjecture due to Keating-Snaith for the Riemann zeta function, via the
analogy with the characteristic polynomial of random unitary matrices. We show
that the Mellin transform of the characteristic polynomial of random unitary
matrices and the Barnes G-function are intimately related with products and
sums of gamma, beta and log-gamma variables. In particular, we show that the
law of the modulus of the characteristic polynomial of random unitary matrices
can be expressed with the help of products of gamma or beta variables, and that
the reciprocal of the Barnes G-function has a L\'{e}vy-Khintchin type
representation. These results lead us to introduce the so called generalized
gamma convolution variables.
| math.PR | we give a probabilistic interpretation for the barnes gfunction which appears in random matrix theory and in analytic number theory in the important moments conjecture due to keatingsnaith for the riemann zeta function via the analogy with the characteristic polynomial of random unitary matrices we show that the mellin transform of the characteristic polynomial of random unitary matrices and the barnes gfunction are intimately related with products and sums of gamma beta and loggamma variables in particular we show that the law of the modulus of the characteristic polynomial of random unitary matrices can be expressed with the help of products of gamma or beta variables and that the reciprocal of the barnes gfunction has a levykhintchin type representation these results lead us to introduce the so called generalized gamma convolution variables | [['we', 'give', 'a', 'probabilistic', 'interpretation', 'for', 'the', 'barnes', 'gfunction', 'which', 'appears', 'in', 'random', 'matrix', 'theory', 'and', 'in', 'analytic', 'number', 'theory', 'in', 'the', 'important', 'moments', 'conjecture', 'due', 'to', 'keatingsnaith', 'for', 'the', 'riemann', 'zeta', 'function', 'via', 'the', 'analogy', 'with', 'the', 'characteristic', 'polynomial', 'of', 'random', 'unitary', 'matrices', 'we', 'show', 'that', 'the', 'mellin', 'transform', 'of', 'the', 'characteristic', 'polynomial', 'of', 'random', 'unitary', 'matrices', 'and', 'the', 'barnes', 'gfunction', 'are', 'intimately', 'related', 'with', 'products', 'and', 'sums', 'of', 'gamma', 'beta', 'and', 'loggamma', 'variables', 'in', 'particular', 'we', 'show', 'that', 'the', 'law', 'of', 'the', 'modulus', 'of', 'the', 'characteristic', 'polynomial', 'of', 'random', 'unitary', 'matrices', 'can', 'be', 'expressed', 'with', 'the', 'help', 'of', 'products', 'of', 'gamma', 'or', 'beta', 'variables', 'and', 'that', 'the', 'reciprocal', 'of', 'the', 'barnes', 'gfunction', 'has', 'a', 'levykhintchin', 'type', 'representation', 'these', 'results', 'lead', 'us', 'to', 'introduce', 'the', 'so', 'called', 'generalized', 'gamma', 'convolution', 'variables']] | [-0.12334352360597549, 0.15188396796370848, -0.13168503845977875, 0.07372962074880382, -0.05605860210898268, -0.10815149718426338, 0.03208668652801056, 0.31144819164094123, -0.33001238163134067, -0.1991609070691785, 0.06613575896774312, -0.22897214443024733, -0.2404522281513329, 0.19993467698449569, -0.03510940267228102, 0.06908304196647333, 0.007905095246911959, 0.08217208333427214, -0.09798818745806756, -0.2676252866437559, 0.3518753647733167, 0.01242632195193548, 0.1966135544730848, 0.017617353618514676, 0.07182857237102194, 0.07709930808361591, -0.09741937243983946, -0.04643564837969633, -0.09994396019831632, 0.11207267346628408, 0.23996177412754366, 0.09661830917626392, 0.1995515206203092, -0.3953527512725528, -0.1444687650784253, 0.169663957785815, 0.139442877929288, -0.04961564624948669, 0.02248093843076179, -0.25423560971269765, 0.06018317142103351, -0.17643769878097845, -0.17007768395328396, -0.08007682209271486, 0.025628844773723878, 0.10637396454583598, -0.33596255024539606, 0.10057929683590436, 0.07103523309520296, 0.016102764222287496, -0.0147324574556742, -0.1726857579903293, 0.07801522399505018, 0.07713283958332968, 0.07235406315441151, 0.032031889411244, 0.06424294985503755, -0.12269790689434273, -0.09751261260986101, 0.33834824713928097, -0.04961812112725674, -0.23735849479682572, 0.12847863281508268, -0.2089530381139453, -0.18411067520972085, 0.10170747572556138, 0.11663019403331835, 0.09673316406650613, -0.08424667332975463, 0.16546971522021028, -0.08643645107148941, 0.09478119281671571, 0.11407193499226265, 0.026321144856313487, 0.14992256197218165, -0.01021716794361652, 0.010696913442709519, 0.16006048752140709, -0.03223347082335985, -0.09909683237592548, -0.33188938375078997, -0.22592933928124778, -0.21536447716350773, 0.11130134198274322, -0.18993287344002396, -0.23804311442210246, 0.4068268249593391, 0.05637300811807504, 0.19155047336977174, 0.13182633635605764, 0.1404612113344874, 0.22226586926173958, 0.06374613524464365, 0.01314263992928651, 0.10069007435609152, 0.2535724242143191, 0.016317969776391415, -0.18579929982461318, 0.06836648092548299, 0.17127624841918812] |
707.3188 | The cubic nonlinear Schr\"odinger equation in two dimensions with radial
data | We establish global well-posedness and scattering for solutions to the
mass-critical nonlinear Schr\"odinger equation $iu_t + \Delta u = \pm |u|^2 u$
for large spherically symmetric L^2_x(\R^2) initial data; in the focusing case
we require, of course, that the mass is strictly less than that of the ground
state. As a consequence, we deduce that in the focusing case, any spherically
symmetric blowup solution must concentrate at least the mass of the ground
state at the blowup time.
We also establish some partial results towards the analogous claims in other
dimensions and without the assumption of spherical symmetry.
| math.AP | we establish global wellposedness and scattering for solutions to the masscritical nonlinear schrodinger equation iu_t delta u pm u2 u for large spherically symmetric l2_xr2 initial data in the focusing case we require of course that the mass is strictly less than that of the ground state as a consequence we deduce that in the focusing case any spherically symmetric blowup solution must concentrate at least the mass of the ground state at the blowup time we also establish some partial results towards the analogous claims in other dimensions and without the assumption of spherical symmetry | [['we', 'establish', 'global', 'wellposedness', 'and', 'scattering', 'for', 'solutions', 'to', 'the', 'masscritical', 'nonlinear', 'schrodinger', 'equation', 'iu_t', 'delta', 'u', 'pm', 'u2', 'u', 'for', 'large', 'spherically', 'symmetric', 'l2_xr2', 'initial', 'data', 'in', 'the', 'focusing', 'case', 'we', 'require', 'of', 'course', 'that', 'the', 'mass', 'is', 'strictly', 'less', 'than', 'that', 'of', 'the', 'ground', 'state', 'as', 'a', 'consequence', 'we', 'deduce', 'that', 'in', 'the', 'focusing', 'case', 'any', 'spherically', 'symmetric', 'blowup', 'solution', 'must', 'concentrate', 'at', 'least', 'the', 'mass', 'of', 'the', 'ground', 'state', 'at', 'the', 'blowup', 'time', 'we', 'also', 'establish', 'some', 'partial', 'results', 'towards', 'the', 'analogous', 'claims', 'in', 'other', 'dimensions', 'and', 'without', 'the', 'assumption', 'of', 'spherical', 'symmetry']] | [-0.15142046558229547, 0.07049234575640999, -0.04656215776738368, 0.07137129081192574, -0.06376406301401163, -0.1405386634121992, -0.0051354820987111645, 0.3169690027734951, -0.21617733148955984, -0.2209284377039263, 0.16420574463830379, -0.3188122634138716, -0.0633421910338496, 0.14431825825258304, 0.0040405445438648855, 0.05275272337817832, 0.03937400447106675, 0.07329540463213466, -0.13235715512725477, -0.2101630089142801, 0.41614301313499086, -0.0694715562570644, 0.22192928223429542, 0.050317789354410614, 0.06473299483462286, 0.01849257600934882, 0.04213036097782223, -0.037338250689208506, -0.19492116603674062, 0.02985006019375042, 0.19844031364804035, 0.07769797918337741, 0.25857567796973807, -0.45516217007840937, -0.1927416045610842, 0.18345574172899912, 0.1373211764583462, 0.16172863618029576, -0.07313336747802647, -0.3072332507440526, 0.08489645443562614, -0.11728416539140438, -0.2679156340168495, -0.032314490022039725, 0.05998665913939476, 0.027899545411530294, -0.2908529125350086, 0.15726578424556034, 0.0875927434131307, 0.009613976718269681, -0.1543494499876703, -0.123511479569501, -0.06896144754841532, 0.05070299714999764, 0.06969350139904572, 0.03633148233455263, 0.006830871027992352, -0.1539039356535987, -0.030430206206725225, 0.3848734164316403, -0.08851382618503474, -0.23570820969578468, 0.1519269141270534, -0.20440147837721986, -0.13304132788785195, 0.10220014878646716, 0.1509781068926187, 0.16123738462399495, -0.089814243887208, 0.13357440479785987, -0.08312582579490385, 0.196625884159125, 0.09845259293031536, 0.01804797971425088, 0.08616019456990455, 0.1313982704164166, 0.1642928611781252, 0.09225846120511721, -0.05688942924791359, -0.1086209997436718, -0.35842377947349296, -0.13273197586991284, -0.1438337264582515, 0.1386341879046277, -0.09798583912687671, -0.11549446102427809, 0.33857856392860414, 0.11001080215271367, 0.1607619767126284, 0.07759162603730434, 0.21548089253667155, 0.1467235525175439, -0.017485209828928896, 0.11332853617587764, 0.24197519640346352, 0.10673151330679263, 0.13243006465858534, -0.23788519218858134, 0.002923931622583615, 0.11242259090864344] |
707.3189 | Fusion Algebras of Logarithmic Minimal Models | We present explicit conjectures for the chiral fusion algebras of the
logarithmic minimal models LM(p,p') considering Virasoro representations with
no enlarged or extended symmetry algebra. The generators of fusion are
countably infinite in number but the ensuing fusion rules are quasi-rational in
the sense that the fusion of a finite number of representations decomposes into
a finite direct sum of representations. The fusion rules are commutative,
associative and exhibit an sl(2) structure but require so-called Kac
representations which are reducible yet indecomposable representations of rank
1. In particular, the identity of the fundamental fusion algebra is in general
a reducible yet indecomposable Kac representation of rank 1. We make detailed
comparisons of our fusion rules with the results of Gaberdiel and Kausch for
p=1 and with Eberle and Flohr for (p,p')=(2,5) corresponding to the logarithmic
Yang-Lee model. In the latter case, we confirm the appearance of indecomposable
representations of rank 3. We also find that closure of a fundamental fusion
algebra is achieved without the introduction of indecomposable representations
of rank higher than 3. The conjectured fusion rules are supported, within our
lattice approach, by extensive numerical studies of the associated integrable
lattice models. Details of our lattice findings and numerical results will be
presented elsewhere. The agreement of our fusion rules with the previous fusion
rules lends considerable support for the identification of the logarithmic
minimal models LM(p,p') with the augmented c_{p,p'} (minimal) models defined
algebraically.
| hep-th cond-mat.stat-mech math-ph math.MP | we present explicit conjectures for the chiral fusion algebras of the logarithmic minimal models lmpp considering virasoro representations with no enlarged or extended symmetry algebra the generators of fusion are countably infinite in number but the ensuing fusion rules are quasirational in the sense that the fusion of a finite number of representations decomposes into a finite direct sum of representations the fusion rules are commutative associative and exhibit an sl2 structure but require socalled kac representations which are reducible yet indecomposable representations of rank 1 in particular the identity of the fundamental fusion algebra is in general a reducible yet indecomposable kac representation of rank 1 we make detailed comparisons of our fusion rules with the results of gaberdiel and kausch for p1 and with eberle and flohr for pp25 corresponding to the logarithmic yanglee model in the latter case we confirm the appearance of indecomposable representations of rank 3 we also find that closure of a fundamental fusion algebra is achieved without the introduction of indecomposable representations of rank higher than 3 the conjectured fusion rules are supported within our lattice approach by extensive numerical studies of the associated integrable lattice models details of our lattice findings and numerical results will be presented elsewhere the agreement of our fusion rules with the previous fusion rules lends considerable support for the identification of the logarithmic minimal models lmpp with the augmented c_pp minimal models defined algebraically | [['we', 'present', 'explicit', 'conjectures', 'for', 'the', 'chiral', 'fusion', 'algebras', 'of', 'the', 'logarithmic', 'minimal', 'models', 'lmpp', 'considering', 'virasoro', 'representations', 'with', 'no', 'enlarged', 'or', 'extended', 'symmetry', 'algebra', 'the', 'generators', 'of', 'fusion', 'are', 'countably', 'infinite', 'in', 'number', 'but', 'the', 'ensuing', 'fusion', 'rules', 'are', 'quasirational', 'in', 'the', 'sense', 'that', 'the', 'fusion', 'of', 'a', 'finite', 'number', 'of', 'representations', 'decomposes', 'into', 'a', 'finite', 'direct', 'sum', 'of', 'representations', 'the', 'fusion', 'rules', 'are', 'commutative', 'associative', 'and', 'exhibit', 'an', 'sl2', 'structure', 'but', 'require', 'socalled', 'kac', 'representations', 'which', 'are', 'reducible', 'yet', 'indecomposable', 'representations', 'of', 'rank', '1', 'in', 'particular', 'the', 'identity', 'of', 'the', 'fundamental', 'fusion', 'algebra', 'is', 'in', 'general', 'a', 'reducible', 'yet', 'indecomposable', 'kac', 'representation', 'of', 'rank', '1', 'we', 'make', 'detailed', 'comparisons', 'of', 'our', 'fusion', 'rules', 'with', 'the', 'results', 'of', 'gaberdiel', 'and', 'kausch', 'for', 'p1', 'and', 'with', 'eberle', 'and', 'flohr', 'for', 'pp25', 'corresponding', 'to', 'the', 'logarithmic', 'yanglee', 'model', 'in', 'the', 'latter', 'case', 'we', 'confirm', 'the', 'appearance', 'of', 'indecomposable', 'representations', 'of', 'rank', '3', 'we', 'also', 'find', 'that', 'closure', 'of', 'a', 'fundamental', 'fusion', 'algebra', 'is', 'achieved', 'without', 'the', 'introduction', 'of', 'indecomposable', 'representations', 'of', 'rank', 'higher', 'than', '3', 'the', 'conjectured', 'fusion', 'rules', 'are', 'supported', 'within', 'our', 'lattice', 'approach', 'by', 'extensive', 'numerical', 'studies', 'of', 'the', 'associated', 'integrable', 'lattice', 'models', 'details', 'of', 'our', 'lattice', 'findings', 'and', 'numerical', 'results', 'will', 'be', 'presented', 'elsewhere', 'the', 'agreement', 'of', 'our', 'fusion', 'rules', 'with', 'the', 'previous', 'fusion', 'rules', 'lends', 'considerable', 'support', 'for', 'the', 'identification', 'of', 'the', 'logarithmic', 'minimal', 'models', 'lmpp', 'with', 'the', 'augmented', 'c_pp', 'minimal', 'models', 'defined', 'algebraically']] | [-0.10272212110935373, 0.11170609197783671, -0.07016937306803966, 0.04685341345958729, -0.09159124413941135, -0.1409846617629692, 0.00997755928249891, 0.37314116257599533, -0.2814760510671012, -0.19691982599807548, 0.11581493000787227, -0.2462350096177072, -0.14545194095377117, 0.1505428298039639, -0.06150479576391901, 0.022828061922275007, 0.09779962006005201, 0.14345674907362604, -0.10285801743454438, -0.29537150968024706, 0.3420579144067349, 0.02864524198577125, 0.2748357897228066, 0.06274457523559636, 0.11406961321394811, 0.03132940300324179, -0.08739698401038, -0.03168827337113784, -0.09549707390319685, 0.18686266171874755, 0.2929588413111831, 0.0875798087225895, 0.18224508587786176, -0.383179388448913, -0.16778335816207085, 0.14581434279283945, 0.1716575310041043, 0.07408861499131122, -0.03427099938841259, -0.2543016682309594, 0.12526939171267318, -0.2585087500393708, -0.11264604470950175, -0.11617215265856778, 0.02706329214926611, -0.00972250684629584, -0.2984582730383176, 0.055642079908593975, 0.1024357024461348, 0.11073565940432092, -0.1253186499121589, -0.15073069798849284, -0.0498241868484369, 0.08053426007155647, -0.019959063977102176, -0.013304980521268666, 0.07371434957195232, -0.1744101989974684, -0.18507026149643624, 0.36656923246312334, 0.02016859850518039, -0.2368583488565414, 0.20102802032426476, -0.12306428991798113, -0.16068004732852445, 0.1319706407789899, 0.07086998879354685, 0.09478133167486955, -0.05353909128548657, 0.14546601139083307, -0.1267130628248003, 0.06823227840495553, 0.06154288091459014, 0.003893682275907424, 0.15933180360242408, 0.14214497106645177, -0.028841503087351932, 0.11614853234595045, 0.02177919679633441, -0.09370281734402251, -0.3860772336298164, -0.12788115414008103, -0.10211493975601774, 0.04994833056834784, -0.09828586472858467, -0.14397086439520476, 0.38789289700303303, 0.1356880539572461, 0.2087712559489251, 0.11610986100301701, 0.22019271642326357, 0.09958215207455957, 0.13780204103144997, 0.049930397603423035, 0.16913156897681667, 0.19242159129873393, -0.03002856485941943, -0.16256250202893577, -0.023444084255421098, 0.1765773317003821] |
707.319 | Electromagnetism and perfect fluids interplay in multidimensional
spacetimes | We consider fields in (D>2)-dimensional spacetime, whose potential is r-form
(skew-symmetric tensor of rank r), the field tensor F being its exterior
derivative and the Lagrangian, a function of the quadratic invariant I of this
tensor. It is shown that vector field (r=1) describes electromagnetic field
only for D=4. In particular, for D=3 and the Lagrangean L as any function of
the above-mentioned invariant, the (r=1)-field has energy-momentum tensor
identical with that of a perfect fluid whose equation of state depends on the
choice of L(I).
| gr-qc | we consider fields in d2dimensional spacetime whose potential is rform skewsymmetric tensor of rank r the field tensor f being its exterior derivative and the lagrangian a function of the quadratic invariant i of this tensor it is shown that vector field r1 describes electromagnetic field only for d4 in particular for d3 and the lagrangean l as any function of the abovementioned invariant the r1field has energymomentum tensor identical with that of a perfect fluid whose equation of state depends on the choice of li | [['we', 'consider', 'fields', 'in', 'd2dimensional', 'spacetime', 'whose', 'potential', 'is', 'rform', 'skewsymmetric', 'tensor', 'of', 'rank', 'r', 'the', 'field', 'tensor', 'f', 'being', 'its', 'exterior', 'derivative', 'and', 'the', 'lagrangian', 'a', 'function', 'of', 'the', 'quadratic', 'invariant', 'i', 'of', 'this', 'tensor', 'it', 'is', 'shown', 'that', 'vector', 'field', 'r1', 'describes', 'electromagnetic', 'field', 'only', 'for', 'd4', 'in', 'particular', 'for', 'd3', 'and', 'the', 'lagrangean', 'l', 'as', 'any', 'function', 'of', 'the', 'abovementioned', 'invariant', 'the', 'r1field', 'has', 'energymomentum', 'tensor', 'identical', 'with', 'that', 'of', 'a', 'perfect', 'fluid', 'whose', 'equation', 'of', 'state', 'depends', 'on', 'the', 'choice', 'of', 'li']] | [-0.22317754031186376, 0.1413342996555216, -0.05720441688043887, -0.008797361081301728, -0.0945755822419682, -0.1544989850207725, -0.11398416134967085, 0.3020069031154408, -0.23216355160317, -0.21748272708671934, 0.06322707179659869, -0.22976824702585444, -0.1810277648626224, 0.0640659068218049, -0.0049818495398058615, 0.023765249346958145, -0.040119153819978236, 0.17750918854247122, -0.09772238771376364, -0.24420558994581157, 0.41595447799738716, 0.012222190069801667, 0.23475264370277085, 0.040275796563090646, 0.18335559416343183, 0.034173678710837575, -0.023260225602836512, 0.05053039731676964, -0.11696849659937844, 0.08188699542763916, 0.202442496532903, 0.10937862563056543, 0.19050960926996435, -0.37080681101583385, -0.18212449936031858, 0.13858190547565327, 0.08417635019868612, 0.07445190878694548, 0.0021991633467704935, -0.22871584918569116, 0.10840972804272657, -0.16998891876462627, -0.1619878584628596, -0.05753347297363422, 0.10480063474901459, -0.017180571003871804, -0.2791993644526776, 0.08510269569780897, 0.0866608487757142, 0.039967936228426613, -0.11944849933908486, -0.14497269096181672, -0.06696986471686293, 0.026994822349618464, 0.08010347319958622, 0.12204319813891369, 0.10534241099787109, -0.18284261593978632, -0.04056779144003111, 0.3775583090589327, -0.14203754189040732, -0.30293206553906205, 0.11107994245693964, -0.14579629553481938, -0.06642132657853995, 0.0831483013664932, 0.10462670069845284, 0.17098086576614366, -0.09487896931960302, 0.26125411356059725, -0.07343001690460368, 0.10356406211880419, 0.07479979663210756, 0.0007232546313282321, 0.1725229581571458, 0.031488379649817946, 0.07660951033125028, 0.13496513712384245, 0.0020276585018590967, -0.09566035982878769, -0.3845660248223473, -0.22196067132274894, -0.23321266976349495, 0.11078158000566285, -0.1605923631154891, -0.23337470240007593, 0.41173784974962474, 0.0553377552286667, 0.13953296902918202, 0.029869672688929472, 0.24716568681247095, 0.13307350177235683, 0.07556471217094976, 0.09950712387833525, 0.2715079300543841, 0.2183676966904279, 0.072238494242158, -0.20413407033090206, -0.04375432717120823, 0.11053752898348167] |
707.3191 | Toward Coupling Flow Driven and Magnetically Driven Dynamos | Most large scale dynamo research for astrophysical rotators focuses on
interior flow driven helical dynamos (FDHDs), but larger scale coronal fields
most directly influence observations. It is thus important to understand the
relationship between coronal and interior fields. Coronal field relaxation is
actually a type of magnetically dominated helical dynamo (MDHD). MDHDs also
occur in fusion plasma devices where they drive a system toward its relaxed
state in response to magnetic helicity injection that otherwise drives the
system away from this state. Global scale fields of astrophysical rotators and
jets are thus plausibly produced by a direct coupling between an interior FDHD
and a coronal MDHD, interfaced by magnetic helicity transport through their
mutual boundary. Tracking the magnetic helicity also elucidates how both FDHD
and MDHDs evolve and saturate. The utility of magnetic helicity is unhampered
by its non-gauge invariance since physical fields can always be recovered.
| astro-ph physics.plasm-ph | most large scale dynamo research for astrophysical rotators focuses on interior flow driven helical dynamos fdhds but larger scale coronal fields most directly influence observations it is thus important to understand the relationship between coronal and interior fields coronal field relaxation is actually a type of magnetically dominated helical dynamo mdhd mdhds also occur in fusion plasma devices where they drive a system toward its relaxed state in response to magnetic helicity injection that otherwise drives the system away from this state global scale fields of astrophysical rotators and jets are thus plausibly produced by a direct coupling between an interior fdhd and a coronal mdhd interfaced by magnetic helicity transport through their mutual boundary tracking the magnetic helicity also elucidates how both fdhd and mdhds evolve and saturate the utility of magnetic helicity is unhampered by its nongauge invariance since physical fields can always be recovered | [['most', 'large', 'scale', 'dynamo', 'research', 'for', 'astrophysical', 'rotators', 'focuses', 'on', 'interior', 'flow', 'driven', 'helical', 'dynamos', 'fdhds', 'but', 'larger', 'scale', 'coronal', 'fields', 'most', 'directly', 'influence', 'observations', 'it', 'is', 'thus', 'important', 'to', 'understand', 'the', 'relationship', 'between', 'coronal', 'and', 'interior', 'fields', 'coronal', 'field', 'relaxation', 'is', 'actually', 'a', 'type', 'of', 'magnetically', 'dominated', 'helical', 'dynamo', 'mdhd', 'mdhds', 'also', 'occur', 'in', 'fusion', 'plasma', 'devices', 'where', 'they', 'drive', 'a', 'system', 'toward', 'its', 'relaxed', 'state', 'in', 'response', 'to', 'magnetic', 'helicity', 'injection', 'that', 'otherwise', 'drives', 'the', 'system', 'away', 'from', 'this', 'state', 'global', 'scale', 'fields', 'of', 'astrophysical', 'rotators', 'and', 'jets', 'are', 'thus', 'plausibly', 'produced', 'by', 'a', 'direct', 'coupling', 'between', 'an', 'interior', 'fdhd', 'and', 'a', 'coronal', 'mdhd', 'interfaced', 'by', 'magnetic', 'helicity', 'transport', 'through', 'their', 'mutual', 'boundary', 'tracking', 'the', 'magnetic', 'helicity', 'also', 'elucidates', 'how', 'both', 'fdhd', 'and', 'mdhds', 'evolve', 'and', 'saturate', 'the', 'utility', 'of', 'magnetic', 'helicity', 'is', 'unhampered', 'by', 'its', 'nongauge', 'invariance', 'since', 'physical', 'fields', 'can', 'always', 'be', 'recovered']] | [-0.16432782094463283, 0.28907518919339775, -0.027209064629298788, 0.12793490315906386, -0.11724069563619105, -0.0965177757642397, -0.014614445405041284, 0.365713571165259, -0.27795305918301094, -0.3256521704507635, 0.08181893634808032, -0.18717431897257872, -0.09618522218223793, 0.22975563022790227, 0.020506580307392788, -0.026948173737635583, 0.03873015341930197, -0.020127435171884214, -0.0046426518811969785, -0.14330600834359145, 0.31863189953650145, 0.08719937953807361, 0.25364159544639236, 0.011539110922129125, 0.06980503097850274, -0.08716178501143734, 0.017775589717446385, 0.05917613763784897, -0.07345867381283167, 0.0173512141481174, 0.19596370409493805, 0.07754803774713255, 0.2213845361317863, -0.5026191884770672, -0.2208424257651196, 0.014643799896675644, 0.19856213215831006, 0.06033006635435084, -0.06551885349240075, -0.24079694877649452, 0.06804736204286839, -0.12417809607408253, -0.10663368095342872, -0.07085263075683504, 0.029969247187659514, -0.021970854336494938, -0.30094176947291124, 0.08730331207509978, 0.06958334715847019, 0.08613206586942526, -0.11386215179988946, -0.028448557136051936, -0.11328657953636655, 0.12556476788991627, 0.14023159597736143, 0.10515636492500756, 0.2489399854357995, -0.1959417116289945, -0.09253521059501044, 0.34068172398280905, -0.005630916252018924, -0.17385824156119256, 0.2192225300307313, -0.21925280451550022, -0.10207332049806912, 0.1832784355109465, 0.17036039622976107, 0.1009252571718807, -0.13004702041218724, 0.038619370613798686, -0.017009754555385746, 0.11702156127826806, 0.035862116410614965, 0.04067600305449772, 0.3345026616865756, 0.13582816542330997, 0.07538555124576421, 0.0850058206751718, -0.10767075046277703, -0.08773491563315088, -0.2596523106116339, -0.11891194366262103, -0.14077983124690222, 0.0947250249450498, -0.05905309755279574, -0.175136814845723, 0.36122585740353225, 0.18321363951561723, 0.16068281326442957, -0.06938960757568902, 0.3095844687220264, 0.09061760479313526, 0.07851773152352436, 0.1775576145229663, 0.33357799246061776, 0.24114060261392478, 0.18950424750223227, -0.27584205375957893, 0.060154021136357004, 0.04869542609411457] |
707.3192 | Zeeman-type dragging in the Kerr--Newman and NUT spacetimes | In this communication we discuss two distinct Zeeman-type gravitomagnetic
effects deserving attention since they can be easily characterized in their
exact form, not via approximation procedures. Some observations are also made
on gravitoelectric effects.
| gr-qc | in this communication we discuss two distinct zeemantype gravitomagnetic effects deserving attention since they can be easily characterized in their exact form not via approximation procedures some observations are also made on gravitoelectric effects | [['in', 'this', 'communication', 'we', 'discuss', 'two', 'distinct', 'zeemantype', 'gravitomagnetic', 'effects', 'deserving', 'attention', 'since', 'they', 'can', 'be', 'easily', 'characterized', 'in', 'their', 'exact', 'form', 'not', 'via', 'approximation', 'procedures', 'some', 'observations', 'are', 'also', 'made', 'on', 'gravitoelectric', 'effects']] | [-0.17919055591611302, 0.18119221314897432, -0.07889603491982117, 0.1664292125736692, -0.14137024667990558, -0.15533890931264444, 0.018429870491244775, 0.4755765911301269, -0.24158023779883103, -0.28888838891597357, 0.13267651181805, -0.23213282443911715, -0.215588728130302, 0.20744802200180643, -0.06773421858601711, -0.04178521560285898, 0.0178411044385832, -0.023538138607845586, -0.07711688655442284, -0.27254115231335163, 0.24516882032484694, 0.010503732982803793, 0.1855366271098747, 0.0768921925302814, -0.010281965218703537, -0.03548204266082715, -0.03797409803990055, 0.09487680295098792, -0.12650030815754743, 0.03150474638952052, 0.258356623680276, 0.09131565590060371, 0.253142813768457, -0.512038566172123, -0.18625739238717975, 0.11473944040891879, 0.18737540935056612, 0.15139907945002265, -0.06515151948791326, -0.3430704852730474, 0.015093971728621161, -0.2118658873334746, -0.07521255675922423, -0.13356360059012384, -0.01407737224636709, 0.02851300160674488, -0.21184781186885254, 0.014857591354966108, 0.05828226464526618, 0.03304921087863691, -0.04265188659979578, -0.12227451683515135, 0.01926265380290501, 0.10130846412742839, 0.10347325530122309, -0.06483171797384892, 0.10311447485240505, -0.09015866425847087, -0.10504191324991338, 0.3776035570429967, -0.013834908056785078, -0.3095968796268982, 0.15575658365645828, -0.17311616826747708, -0.1915392982910442, 0.090179624802926, 0.17866816892124274, 0.09750061799936435, -0.18023211867822445, 0.06678356956142713, 0.047031780896598804, 0.07308283920728546, 0.08558059759054552, 0.1203521275345017, 0.28446868837208433, 0.03164514318546828, -0.050129479167106396, 0.12167212958379156, -0.048480495735181164, -0.09343990285004325, -0.26147403431070204, -0.07093123351703123, -0.15307429890312693, 0.053606766557255894, -0.05102396664647933, -0.10895745543872609, 0.32707834722446827, 0.17627214376047692, 0.14692510710344375, -0.028264265918337247, 0.30347553717301173, 0.07823722754769466, 0.1072101193576065, 0.07094811256427098, 0.35129824493453593, 0.11213778589359101, 0.02366407770622412, -0.17238970051574357, 0.12267057345632244, 0.027676953331512565] |
707.3193 | Nariai--Bertotti--Robinson spacetimes as a building material for one-way
wormholes with horizons, but without singularity | We discuss the problem of wormholes from the viewpoint of gluing together two
Reissner--Nordstr\"om-type universes while putting between them a segment of
the Nariai-type world (in both cases there are also present electromagnetic
fields as well as the cosmological constant). Such a toy wormhole represents an
example of one-way topological communication free from causal paradoxes, though
involving a travel to next spacetime sheet since one has to cross at least a
pair of horizons through which the spacetimes' junction occurs. We also
consider the use of thin shells in these constructions. Such a ``material'' for
wormholes we choose taking into account specific properties of the
Nariai--Bertotti--Robinson spacetimes.
| gr-qc | we discuss the problem of wormholes from the viewpoint of gluing together two reissnernordstromtype universes while putting between them a segment of the nariaitype world in both cases there are also present electromagnetic fields as well as the cosmological constant such a toy wormhole represents an example of oneway topological communication free from causal paradoxes though involving a travel to next spacetime sheet since one has to cross at least a pair of horizons through which the spacetimes junction occurs we also consider the use of thin shells in these constructions such a material for wormholes we choose taking into account specific properties of the nariaibertottirobinson spacetimes | [['we', 'discuss', 'the', 'problem', 'of', 'wormholes', 'from', 'the', 'viewpoint', 'of', 'gluing', 'together', 'two', 'reissnernordstromtype', 'universes', 'while', 'putting', 'between', 'them', 'a', 'segment', 'of', 'the', 'nariaitype', 'world', 'in', 'both', 'cases', 'there', 'are', 'also', 'present', 'electromagnetic', 'fields', 'as', 'well', 'as', 'the', 'cosmological', 'constant', 'such', 'a', 'toy', 'wormhole', 'represents', 'an', 'example', 'of', 'oneway', 'topological', 'communication', 'free', 'from', 'causal', 'paradoxes', 'though', 'involving', 'a', 'travel', 'to', 'next', 'spacetime', 'sheet', 'since', 'one', 'has', 'to', 'cross', 'at', 'least', 'a', 'pair', 'of', 'horizons', 'through', 'which', 'the', 'spacetimes', 'junction', 'occurs', 'we', 'also', 'consider', 'the', 'use', 'of', 'thin', 'shells', 'in', 'these', 'constructions', 'such', 'a', 'material', 'for', 'wormholes', 'we', 'choose', 'taking', 'into', 'account', 'specific', 'properties', 'of', 'the', 'nariaibertottirobinson', 'spacetimes']] | [-0.1685288175149768, 0.09426541736842033, -0.07247340263587967, 0.09665145522932399, -0.09047581910217216, -0.16978489736288363, 0.013990461026792819, 0.3604028129001271, -0.23046840029496277, -0.28173049248948273, 0.09415923072824711, -0.3035242702056355, -0.10616786100567793, 0.1943651745974455, -0.03772461734149816, 0.006029722149009412, 0.009110662567798258, 0.03540495427474731, -0.06015242876063259, -0.1990412603734272, 0.4001609994326982, 0.0148543164689744, 0.21605186407753038, 0.037642994258587935, 0.1293780116390718, -0.0075167617540947106, 0.007936968267148466, 0.07907354553079576, -0.16312781257229805, 0.04070484992621888, 0.23653484561468502, 0.1379825986464912, 0.2325969610784976, -0.4821940356127496, -0.24705544957574807, 0.07890928840651265, 0.14464613952111663, 0.17315638523860746, -0.06086600183746514, -0.29181448148809513, 0.028929652672542154, -0.17148973571382603, -0.12831668337842203, -0.009448984593926173, 0.029257939429953694, -0.037595777610373984, -0.17624637130307438, 0.041377935136277404, 0.029334688249465852, -0.011417465838812344, -0.07603083749934328, -0.05357606429551763, -0.027665772459926612, 0.13452722267072015, 0.1303614324808806, -0.035316019646278674, 0.10570059896596128, -0.13422708453188809, -0.13876653785096868, 0.4081638494049603, -0.028785444998164784, -0.20301511534050387, 0.15988297594430032, -0.1309414300123089, -0.10270770477737247, 0.05742242962411904, 0.13463869799842249, 0.12866685680061016, -0.13528272712532924, 0.10254016892439774, -0.027548352440924576, 0.08802422504314168, 0.14413427838721787, 0.053418234842917266, 0.3036585708394787, 0.14701212900427152, 0.038596695955658226, 0.1663945328459618, -0.04616076993247503, -0.09536963323337676, -0.38974384873894585, -0.20509427223565443, -0.13107102594716158, 0.07626214788409548, -0.12904000266678609, -0.22313174833367877, 0.3496133444966959, 0.10316099647999816, 0.19007321409793254, 0.014784522171193769, 0.26541661087177554, 0.03322816961488845, 0.06011063006557173, 0.09633413491054561, 0.2617252917151968, 0.10024247137952666, 0.08061699709157077, -0.12819217277069153, -0.0001686867502219272, 0.027017229878044915] |
707.3194 | T-odd asymmetries in radiative top-quark decays | We study the angular distribution of the charged lepton in the top-quark
decay into a bottom quark and a W boson which subsequently decays into
\ell\nu_{\ell}, when a hard gluon is radiated off. The absorptive part of the t
\to bWg decay amplitudes, which gives rise to T-odd asymmetries in the
distribution, is calculated at the one-loop level in perturbative QCD. The
asymmetries at a few percent level are predicted, which may be observable at
future colliders.
| hep-ph | we study the angular distribution of the charged lepton in the topquark decay into a bottom quark and a w boson which subsequently decays into ellnu_ell when a hard gluon is radiated off the absorptive part of the t to bwg decay amplitudes which gives rise to todd asymmetries in the distribution is calculated at the oneloop level in perturbative qcd the asymmetries at a few percent level are predicted which may be observable at future colliders | [['we', 'study', 'the', 'angular', 'distribution', 'of', 'the', 'charged', 'lepton', 'in', 'the', 'topquark', 'decay', 'into', 'a', 'bottom', 'quark', 'and', 'a', 'w', 'boson', 'which', 'subsequently', 'decays', 'into', 'ellnu_ell', 'when', 'a', 'hard', 'gluon', 'is', 'radiated', 'off', 'the', 'absorptive', 'part', 'of', 'the', 't', 'to', 'bwg', 'decay', 'amplitudes', 'which', 'gives', 'rise', 'to', 'todd', 'asymmetries', 'in', 'the', 'distribution', 'is', 'calculated', 'at', 'the', 'oneloop', 'level', 'in', 'perturbative', 'qcd', 'the', 'asymmetries', 'at', 'a', 'few', 'percent', 'level', 'are', 'predicted', 'which', 'may', 'be', 'observable', 'at', 'future', 'colliders']] | [-0.0632773635806153, 0.2942458767589037, -0.13976785976609046, 0.1683605477945613, -0.0369482786672843, -0.13334676018589503, 0.050643857261589306, 0.308211567823763, -0.23216989839921234, -0.21230376055222247, -0.021970501748615173, -0.33966550397892276, 0.08421590904910843, 0.11806148455732247, 0.12151259289111023, 0.05788924179172942, 0.0689900708021959, 0.016776827436134026, -0.06263955267351846, -0.22239451284532424, 0.25534008651391255, 0.043177592616479896, 0.17986300556206858, 0.18715527693607978, 0.0368684119266736, 0.008787500584352907, -0.04814981512556022, -0.07597061451645447, -0.06403946051602373, 0.028687576238706998, 0.1970723448525328, 0.0037077834856902043, 0.13335370886828993, -0.32580591252001073, -0.043959290977543246, 0.11891549135038218, 0.1809010173907721, 0.11327593778592668, -0.015327921681493134, -0.2903040088229365, 0.12102284856585109, -0.21417014852964453, -0.1121932448117764, -0.048643144122748214, 0.017922696070866537, -0.09921243785904696, -0.3512804468053502, 0.07002215550656056, -0.055999257063565705, -0.04566849590666205, 0.047135116774346925, -0.2008374004878781, -0.10763842299846667, 0.03049786561115814, 0.15277544466488355, 0.086561900765753, 0.17284230258944747, -0.21810244857152175, -0.13487246810373935, 0.38167552661465165, -0.08655326563695614, -0.18487733346410096, 0.08833167599756028, -0.2911884511833067, -0.14498757664718992, 0.20598130567942735, 0.2639696176478325, 0.08068060493943366, -0.17580024043930387, 0.12841486417939402, -0.0009233419376715727, 0.12854642291287227, 0.11219296502191331, 0.08569816714031743, 0.30361344782611377, 0.17186205641535873, -0.036301194484551234, 0.11053977818258542, -0.09692743473819324, -0.06043008802301408, -0.45228011556598663, -0.10383903539993546, -0.06561465001386868, 0.12163483278293695, -0.03080823187026129, -0.125825872659145, 0.43699006581461275, 0.04467971801270985, 0.2909126707334555, 0.025089342284693637, 0.3367774016828603, 0.17082553401637773, 0.10268035919296664, 0.05897823329893993, 0.3056501905712021, 0.17414616901040464, 0.13999604760342604, -0.2360725223159345, 0.04071105621126178, 0.07125462926682327] |
707.3195 | Galilean geometry of motions | In this paper we show that Galilean group is a matrix Lie group and find its
structure. Then provide the invariants of special Galilean geometry of motions,
by Olver's method of moving coframes, we also find the corresponding
$\{e\}-$structure.
| math.DG | in this paper we show that galilean group is a matrix lie group and find its structure then provide the invariants of special galilean geometry of motions by olvers method of moving coframes we also find the corresponding estructure | [['in', 'this', 'paper', 'we', 'show', 'that', 'galilean', 'group', 'is', 'a', 'matrix', 'lie', 'group', 'and', 'find', 'its', 'structure', 'then', 'provide', 'the', 'invariants', 'of', 'special', 'galilean', 'geometry', 'of', 'motions', 'by', 'olvers', 'method', 'of', 'moving', 'coframes', 'we', 'also', 'find', 'the', 'corresponding', 'estructure']] | [-0.159451675386383, 0.07433347478926851, -0.15108859457839757, 0.01095227207033298, -0.10666614430598341, -0.06688610426126382, -0.006565442482660262, 0.4036472363349719, -0.3037650384582006, -0.26064861334191686, 0.10701789167554428, -0.1845902680264165, -0.2585248564704297, 0.14085342564981262, -0.10215254378719972, -0.038149199318678044, 0.057426232569970384, 0.13124494797338207, -0.16259627994030523, -0.21074513257003558, 0.37867657935772187, 0.014022131904195517, 0.21984000497449857, -0.017158789822879512, 0.11924885979925211, -0.006995834983312166, -0.05260163275763775, 0.03329440143007117, -0.1206152586765268, 0.12268991661496842, 0.17895687309404215, 0.06750113507493949, 0.189032946074477, -0.3746797540344489, -0.16372879362927797, 0.0666850317412844, 0.1240077126914492, 0.10500000111567669, -0.07744584327492003, -0.32441061042631286, 0.0846316328463264, -0.20759256704686543, -0.1873949931289714, -0.09949001265713611, 0.05663528947685009, -0.025669870898127556, -0.17814618742648655, 0.09318681975202754, 0.08123718536435029, 0.10862980028375602, -0.07386388228788303, -0.05095827806358918, -0.06625102713513069, 0.09645699303692733, 0.031007939346660025, -0.017863506140808266, 0.11310030333697796, -0.07515468053782406, -0.10237075573502061, 0.4736561861175757, -0.030220224999655515, -0.24178242959225407, 0.13367090293039113, -0.19511453020505798, -0.19390408121622527, 0.0841452193309147, 0.1557678327155419, 0.14083803927478117, -0.10593511794771378, 0.15188137089493325, -0.1437826881495615, 0.06029283367574979, 0.027301572525921542, -0.02189881746800473, 0.1244242615185869, 0.07529038429642335, 0.10685580944976746, 0.13352823835343886, -0.05268602996157148, -0.019494911655783653, -0.3586397409821168, -0.23444746014399406, -0.09159650469724184, 0.05066170267617473, -0.10516084661335648, -0.14216852997644588, 0.37242996912354076, 0.16343744481221223, 0.18253500202002051, 0.12153232857011832, 0.20704565851543194, 0.10676422834587403, 0.06643836576348314, 0.14151750589744785, 0.22158461656325903, 0.1696386905685545, -0.02855132856907753, -0.22866535482880396, -0.08292245061303942, 0.1610462710213585] |
707.3196 | Effect of Soft Modes on the Shear Viscosity of Quark Matter | We calculate shear viscosity of the quark matter at finite temperature and
density. If we assume that the quark interacts with the soft mode, which is a
collective mode of quark-antiquark pair, the self energy of the quark is
calculated by using the quasi-particle random phase approximation. It is shown
that its imaginary part is large and the mean free path of the quark is short.
With the use of the Kubo formula, the shear viscosity of quark matter becomes
small. The Reynolds number of the quark matter is estimated to be about $3\sim
30$. As the temperature increases, the shear viscosity increases gradually for
$T>200{\rm MeV}$. Moreover it is shown that the shear viscosity is not
sensitive to the chemical potential.
| hep-ph | we calculate shear viscosity of the quark matter at finite temperature and density if we assume that the quark interacts with the soft mode which is a collective mode of quarkantiquark pair the self energy of the quark is calculated by using the quasiparticle random phase approximation it is shown that its imaginary part is large and the mean free path of the quark is short with the use of the kubo formula the shear viscosity of quark matter becomes small the reynolds number of the quark matter is estimated to be about 3sim 30 as the temperature increases the shear viscosity increases gradually for t200rm mev moreover it is shown that the shear viscosity is not sensitive to the chemical potential | [['we', 'calculate', 'shear', 'viscosity', 'of', 'the', 'quark', 'matter', 'at', 'finite', 'temperature', 'and', 'density', 'if', 'we', 'assume', 'that', 'the', 'quark', 'interacts', 'with', 'the', 'soft', 'mode', 'which', 'is', 'a', 'collective', 'mode', 'of', 'quarkantiquark', 'pair', 'the', 'self', 'energy', 'of', 'the', 'quark', 'is', 'calculated', 'by', 'using', 'the', 'quasiparticle', 'random', 'phase', 'approximation', 'it', 'is', 'shown', 'that', 'its', 'imaginary', 'part', 'is', 'large', 'and', 'the', 'mean', 'free', 'path', 'of', 'the', 'quark', 'is', 'short', 'with', 'the', 'use', 'of', 'the', 'kubo', 'formula', 'the', 'shear', 'viscosity', 'of', 'quark', 'matter', 'becomes', 'small', 'the', 'reynolds', 'number', 'of', 'the', 'quark', 'matter', 'is', 'estimated', 'to', 'be', 'about', '3sim', '30', 'as', 'the', 'temperature', 'increases', 'the', 'shear', 'viscosity', 'increases', 'gradually', 'for', 't200rm', 'mev', 'moreover', 'it', 'is', 'shown', 'that', 'the', 'shear', 'viscosity', 'is', 'not', 'sensitive', 'to', 'the', 'chemical', 'potential']] | [-0.12328786829925212, 0.3064858931432332, -0.1353572856149952, 0.04995866767938965, -0.07726548123000536, -0.06538366251586636, 0.04099967073041114, 0.297340110560094, -0.27610552230896046, -0.24609749106890408, 0.017766674149258078, -0.29354938636880273, -0.039325244801719325, 0.12498570796225436, 0.04415465309477049, 0.04223023871419766, 0.011213347802615979, 0.0959603521695807, -0.04753937956507603, -0.22190307388620928, 0.31277228356146614, 0.03128718440074566, 0.2640989957943035, 0.1585126219169152, 0.08831092174172647, -0.005650430588698215, -0.03627296767682453, 0.03293923756554107, -0.12573015286046232, -0.021939889250769597, 0.18622661766707743, -0.005760238498203026, 0.20999199853948325, -0.3596159304715385, -0.19444494459331652, 0.09043088730055192, 0.1015208182213751, 0.12767886094968334, -0.005047122362908746, -0.1840663796506268, 0.13418440461497416, -0.23245947413177284, -0.15904733766070453, -0.08291987757668022, 0.060782134017237456, 0.0039242265114853205, -0.2896444039103721, 0.15850158092712074, -0.03081909498615452, -0.015932586259585768, -0.06291712777523617, -0.15505244889997008, -0.10592723956854999, 0.05324006691759776, 0.13642378712519387, 0.10179909814749498, 0.21069012035438714, -0.20250644272747487, 0.011989568333210777, 0.4101302829871247, -0.09621774280551544, -0.18170275562250418, 0.17593677488948442, -0.16526492033153772, -0.03154392688475503, 0.1621672949976911, 0.12083195813754496, 0.09960236729792327, -0.14045579535193925, 0.10220014645567949, -0.036914392764110515, 0.18817410141437446, 0.06723796993432458, -0.010747009753595944, 0.2385873677849905, 0.2016204340414198, 0.04922460723083374, 0.13120078203010505, -0.12305445143999147, -0.07377328836620778, -0.33000900925133253, -0.14470419902469933, -0.23290577819638247, 0.024491788047940225, -0.13619769829847803, -0.19466224011208877, 0.37509212891517346, 0.09541554298744467, 0.18947857120728567, 0.055189585983791686, 0.32010304493721853, 0.19019218310155744, 0.0849351934349734, 0.11576111974918153, 0.31630683827314005, 0.22407605371068517, 0.14663729870553352, -0.29775635677597617, 0.02827093441978343, 0.06710241194852928] |
707.3197 | Phase diagram for the one-dimensional Hubbard-Holstein model: A
density-matrix renormalization group study | Phase diagram of the Hubbard-Holstein model in the coexistence of
electron-electron and electron-phonon interactions has been theoretically
obtained with the density-matrix renormalization group method for
one-dimensional (1D) systems, where an improved warm-up (the recursive sweep)
procedure has enabled us to calculate various correlation functions. We have
examined the cases of (i) the systems half-filled by electrons for the full
parameter space spanned by the electron-electron and electron-phonon coupling
constants and the phonon frequency, (ii) non-half-filled system, and (iii)
trestle lattice. For (i), we have detected a region where both the charge and
on-site pairing correlations decay with power-laws in real space, which
suggests a metallic behavior. While pairing correlations are not dominant in
(i), we have found that they become dominant as the system is doped in (ii), or
as the electronic band structure is modified (with a broken electron-hole
symmetry) in (iii) in certain parameter regions.
| cond-mat.str-el cond-mat.supr-con | phase diagram of the hubbardholstein model in the coexistence of electronelectron and electronphonon interactions has been theoretically obtained with the densitymatrix renormalization group method for onedimensional 1d systems where an improved warmup the recursive sweep procedure has enabled us to calculate various correlation functions we have examined the cases of i the systems halffilled by electrons for the full parameter space spanned by the electronelectron and electronphonon coupling constants and the phonon frequency ii nonhalffilled system and iii trestle lattice for i we have detected a region where both the charge and onsite pairing correlations decay with powerlaws in real space which suggests a metallic behavior while pairing correlations are not dominant in i we have found that they become dominant as the system is doped in ii or as the electronic band structure is modified with a broken electronhole symmetry in iii in certain parameter regions | [['phase', 'diagram', 'of', 'the', 'hubbardholstein', 'model', 'in', 'the', 'coexistence', 'of', 'electronelectron', 'and', 'electronphonon', 'interactions', 'has', 'been', 'theoretically', 'obtained', 'with', 'the', 'densitymatrix', 'renormalization', 'group', 'method', 'for', 'onedimensional', '1d', 'systems', 'where', 'an', 'improved', 'warmup', 'the', 'recursive', 'sweep', 'procedure', 'has', 'enabled', 'us', 'to', 'calculate', 'various', 'correlation', 'functions', 'we', 'have', 'examined', 'the', 'cases', 'of', 'i', 'the', 'systems', 'halffilled', 'by', 'electrons', 'for', 'the', 'full', 'parameter', 'space', 'spanned', 'by', 'the', 'electronelectron', 'and', 'electronphonon', 'coupling', 'constants', 'and', 'the', 'phonon', 'frequency', 'ii', 'nonhalffilled', 'system', 'and', 'iii', 'trestle', 'lattice', 'for', 'i', 'we', 'have', 'detected', 'a', 'region', 'where', 'both', 'the', 'charge', 'and', 'onsite', 'pairing', 'correlations', 'decay', 'with', 'powerlaws', 'in', 'real', 'space', 'which', 'suggests', 'a', 'metallic', 'behavior', 'while', 'pairing', 'correlations', 'are', 'not', 'dominant', 'in', 'i', 'we', 'have', 'found', 'that', 'they', 'become', 'dominant', 'as', 'the', 'system', 'is', 'doped', 'in', 'ii', 'or', 'as', 'the', 'electronic', 'band', 'structure', 'is', 'modified', 'with', 'a', 'broken', 'electronhole', 'symmetry', 'in', 'iii', 'in', 'certain', 'parameter', 'regions']] | [-0.15467306518008653, 0.16687389458970195, -0.05163873198652665, 0.07461909414109558, -0.009526561626730717, -0.18795939068284448, 0.06509688885703888, 0.4053427513101942, -0.24319599091700494, -0.23085413655036524, 0.022101470208663033, -0.3058700570326349, -0.12835257841841866, 0.14614214404639214, 0.09833681137976397, -0.0006348482152819474, -0.02204389367188799, -0.045484117162094946, -0.11593222851491827, -0.21933592348008685, 0.3263073286539173, 0.026431622366382652, 0.2748155979158944, 0.0820067640842889, 0.016751588720107475, 0.043109388097049034, 0.06113134405243989, 0.0388000796199851, -0.1277103748331297, 0.031987867164999656, 0.24305800288239468, -0.029773787175917565, 0.22906392899960637, -0.4118723667622225, -0.22218273348041032, 0.06177573933661597, 0.21025103732165307, 0.1350246658748054, -0.030303371779952352, -0.3046140539019739, 0.01024916743993606, -0.2308847065600375, -0.10003377583949533, -0.09809495053215794, 0.03413213111782344, 0.0025237402858767554, -0.27822771108564154, 0.09591569068318564, 0.018473151879869913, 0.08092727390283795, -0.08648710314835077, -0.09246257161689693, -0.0621438466597744, 0.10367015965939946, 0.04761447504478545, -0.004055341635511754, 0.09503753926710239, -0.11018392242720887, -0.07376262640113279, 0.396950531132162, -0.05540902676277679, -0.1460003059497741, 0.17071404672317106, -0.17529942393334813, -0.10798727537581876, 0.1592300435707965, 0.101810614406195, 0.04830114776906494, -0.12951840135254514, 0.1447473410273781, 0.0013880045950565845, 0.1536088922387547, -0.03392447046744191, 0.08702765375516083, 0.1763718655486017, 0.16040469118240863, 0.02967239767297056, 0.1049280225280162, -0.11837075752993943, -0.09039604264847322, -0.24804459233474854, -0.13800028226121444, -0.21046020864981085, 0.0014237549542872017, -0.06335211028326988, -0.17001668076120216, 0.41154609805559866, 0.09955776375973571, 0.18324015542788252, -0.025817962212660285, 0.19057147826182924, 0.16875612617419292, 0.08699012237396857, 0.05526878188797974, 0.27444123651685626, 0.11800430947994456, 0.07737246374535846, -0.30707889963068985, 0.05418910380861122, 0.07137336061186196] |
707.3198 | Growth-optimal portfolios under transaction costs | This paper studies a portfolio optimization problem in a discrete-time
Markovian model of a financial market, in which asset price dynamics depend on
an external process of economic factors. There are transaction costs with a
structure that covers, in particular, the case of fixed plus proportional
costs. We prove that there exists a self-financing trading strategy maximizing
the average growth rate of the portfolio wealth. We show that this strategy has
a Markovian form. Our result is obtained by large deviations estimates on
empirical measures of the price process and by a generalization of the
vanishing discount method to discontinuous transition operators.
| q-fin.PM math.OC math.PR | this paper studies a portfolio optimization problem in a discretetime markovian model of a financial market in which asset price dynamics depend on an external process of economic factors there are transaction costs with a structure that covers in particular the case of fixed plus proportional costs we prove that there exists a selffinancing trading strategy maximizing the average growth rate of the portfolio wealth we show that this strategy has a markovian form our result is obtained by large deviations estimates on empirical measures of the price process and by a generalization of the vanishing discount method to discontinuous transition operators | [['this', 'paper', 'studies', 'a', 'portfolio', 'optimization', 'problem', 'in', 'a', 'discretetime', 'markovian', 'model', 'of', 'a', 'financial', 'market', 'in', 'which', 'asset', 'price', 'dynamics', 'depend', 'on', 'an', 'external', 'process', 'of', 'economic', 'factors', 'there', 'are', 'transaction', 'costs', 'with', 'a', 'structure', 'that', 'covers', 'in', 'particular', 'the', 'case', 'of', 'fixed', 'plus', 'proportional', 'costs', 'we', 'prove', 'that', 'there', 'exists', 'a', 'selffinancing', 'trading', 'strategy', 'maximizing', 'the', 'average', 'growth', 'rate', 'of', 'the', 'portfolio', 'wealth', 'we', 'show', 'that', 'this', 'strategy', 'has', 'a', 'markovian', 'form', 'our', 'result', 'is', 'obtained', 'by', 'large', 'deviations', 'estimates', 'on', 'empirical', 'measures', 'of', 'the', 'price', 'process', 'and', 'by', 'a', 'generalization', 'of', 'the', 'vanishing', 'discount', 'method', 'to', 'discontinuous', 'transition', 'operators']] | [-0.12831852811059968, 0.048624512252275716, -0.11412814533447518, 0.0847245771807388, -0.044140583650647276, -0.13242418915672483, 0.16620503135103112, 0.38827226003723253, -0.2899766803043438, -0.20496020382087604, 0.1650398888581834, -0.28947205596840847, -0.181132193645645, 0.16417612307294108, -0.1460666783615107, 0.027844679199487847, 0.0688978331734189, -0.013384246290204864, 0.042363303875568886, -0.2891975434875919, 0.32563621312489405, 0.05367497909544766, 0.28676290715149805, 0.04520067297762223, 0.16542202653363347, -0.0006780092394454222, -0.030273100927326026, 0.02587527281823842, -0.165452428208821, 0.12827984964835695, 0.2614662831685707, 0.12429823100740346, 0.4134396087656747, -0.3947195233868472, -0.16998745949354535, 0.18157648460656478, 0.014538092632303197, 0.05123073947684401, -0.022836959879735812, -0.20205067411549024, 0.007553082918200423, -0.23792776710116395, -0.0996612987261923, -0.04996904407573097, 0.011154741733608878, 0.0225488609142428, -0.3477239013522836, 0.07893032152844849, 0.060759804321124274, 0.038981460980579086, -0.07575149560237632, -0.09869619037535991, -0.021553846849950358, 0.09477641336207836, 0.14291903315917773, -0.02549058375149673, 0.15964653159893466, -0.12742382691780507, -0.2079798569354941, 0.34843585782629605, -0.12225880240564983, -0.21889692218974233, 0.09351927078529901, -0.15423230126536652, -0.1402406672280574, 0.1351673184145315, 0.20624063310085558, 0.0689571134691291, -0.18921711317813664, 0.10614518681027488, -0.08585076020829671, 0.16600300003683158, 0.03727665557708664, -0.008812840151436189, 0.1181452135069241, 0.20153940870088763, 0.1857789889098985, 0.1397258416183439, 0.02481167586337702, -0.2025868047311829, -0.3104014528696151, -0.11470059965915211, -0.18712352204373947, 0.10606487026419856, -0.17998504935402546, -0.1931488213001513, 0.36189628294075604, 0.11446359075888918, 0.1440435643319278, 0.13381539707930357, 0.25587461712455156, 0.1935614136780393, -0.00846880273528251, 0.10459185445991655, 0.16737200722427054, -0.002607279717374374, 0.13008863618597388, -0.20232696936570801, 0.18875909497157908, 0.03717118548229337] |
707.3199 | Review of diffraction at HERA and Tevatron | We present and discuss the recent results on diffraction from the HERA and
Tevatron experiments.
| hep-ph | we present and discuss the recent results on diffraction from the hera and tevatron experiments | [['we', 'present', 'and', 'discuss', 'the', 'recent', 'results', 'on', 'diffraction', 'from', 'the', 'hera', 'and', 'tevatron', 'experiments']] | [0.0310300067688028, 0.08219936549042663, -0.11653570185105006, 0.0290959099928538, -0.062358799452583, 0.012091910474312802, 0.06440886822529138, 0.4375211000442505, -0.1558978104343017, -0.23215059315164885, 0.13081022423381608, -0.4396565990522504, -0.11452010969320933, 0.27489588807026544, 0.07126722956697146, 0.17562297532955806, 0.17569825773437817, -0.10918210372328759, -0.09197733141481876, -0.3140986007948717, 0.337288931508859, 0.08946548694123825, 0.2903972695892056, 0.2507138691842556, 0.12082687815030416, 0.08536169038464626, -0.1214721289773782, -0.018117200831572214, -0.22901692967861892, 0.10056755890448889, 0.26428513216475646, 0.21315610740954677, 0.045111677050590514, -0.5441264510154724, -0.09287106183667977, -0.05966712906956673, 0.020028914014498394, 0.14623609377692143, -0.18027839639689774, -0.36985343595345815, 0.052220117983718714, -0.15279413318882387, -0.059230903784434, -0.1309823786218961, -0.10476259017984073, 0.06327159355084101, -0.2328170528014501, 0.04375108683792253, -0.07557396376505494, 0.09212634408225616, -0.04900960624217987, -0.2609552819281816, 0.06190889296121895, -0.047967233384648957, 0.08080269706745942, 0.038963661839564644, 0.07272995850071311, -0.1605107754468918, -0.2821116595218579, 0.30723065659403803, -0.03952976266543071, -0.004774577294786771, 0.24116114030281702, -0.3386851575225592, -0.1342388540195922, -0.007607877751191457, 0.2517871786529819, 0.05397999758521716, -0.1120307973275582, 0.13777794654015452, -0.08894707510868709, 0.16518976738055546, 0.06838892889209092, 0.002153138568003972, 0.13113951509197552, 0.2675893084456523, -0.03861392987892032, 0.12846805535567304, -0.2175331415453305, -0.02324687025199334, -0.4474417180443803, -0.015023442233602207, -0.0690653624633948, 0.011592560758193335, -0.005127067799912765, 0.04882774675885836, 0.3647352745135625, 0.23782640087107818, 0.3446443319320679, 0.03749417643994093, 0.38238369474808376, 0.05396824690202872, 0.03390691851576169, -0.006744741400082906, 0.31423248865952097, 0.0977029721563061, 0.24314736193045974, -0.25582277928479014, -0.0008304764749482274, -0.018426319832603136] |
707.32 | Enhancing single-molecule photostability by optical feedback from
quantum-jump detection | We report an optical technique that yields an enhancement of single-molecule
photostability, by greatly suppressing photobleaching pathways which involve
photoexcitation from the triplet state. This is accomplished by dynamically
switching off the excitation laser when a quantum-jump of the molecule to the
triplet state is optically detected. This procedure leads to a lengthened
single-molecule observation time and an increased total number of detected
photons. The resulting improvement in photostability unambiguously confirms the
importance of photoexcitation from the triplet state in photobleaching
dynamics, and may allow the investigation of new phenomena at the
single-molecule level.
| quant-ph physics.chem-ph physics.optics | we report an optical technique that yields an enhancement of singlemolecule photostability by greatly suppressing photobleaching pathways which involve photoexcitation from the triplet state this is accomplished by dynamically switching off the excitation laser when a quantumjump of the molecule to the triplet state is optically detected this procedure leads to a lengthened singlemolecule observation time and an increased total number of detected photons the resulting improvement in photostability unambiguously confirms the importance of photoexcitation from the triplet state in photobleaching dynamics and may allow the investigation of new phenomena at the singlemolecule level | [['we', 'report', 'an', 'optical', 'technique', 'that', 'yields', 'an', 'enhancement', 'of', 'singlemolecule', 'photostability', 'by', 'greatly', 'suppressing', 'photobleaching', 'pathways', 'which', 'involve', 'photoexcitation', 'from', 'the', 'triplet', 'state', 'this', 'is', 'accomplished', 'by', 'dynamically', 'switching', 'off', 'the', 'excitation', 'laser', 'when', 'a', 'quantumjump', 'of', 'the', 'molecule', 'to', 'the', 'triplet', 'state', 'is', 'optically', 'detected', 'this', 'procedure', 'leads', 'to', 'a', 'lengthened', 'singlemolecule', 'observation', 'time', 'and', 'an', 'increased', 'total', 'number', 'of', 'detected', 'photons', 'the', 'resulting', 'improvement', 'in', 'photostability', 'unambiguously', 'confirms', 'the', 'importance', 'of', 'photoexcitation', 'from', 'the', 'triplet', 'state', 'in', 'photobleaching', 'dynamics', 'and', 'may', 'allow', 'the', 'investigation', 'of', 'new', 'phenomena', 'at', 'the', 'singlemolecule', 'level']] | [-0.11989533996328394, 0.174479279983411, -0.06209962912637027, -0.02126245626664542, 0.020710492050869667, -0.13134075379236898, 0.1130771876196377, 0.41669214356868983, -0.27701681764162284, -0.3277567544694435, 0.0020430381087824068, -0.2538126681713348, -0.084643917792338, 0.19941468542798402, 0.015263977510101617, -0.005955484626378784, 0.08317976748382554, -0.04707754765726388, 0.01669337877884824, -0.17000506807891455, 0.2386035296602789, 0.1044958176071498, 0.31134387606041547, 0.11075836051493249, 0.10394280237898706, 0.02000384590529064, 0.04002136266988484, -0.08835945912374263, -0.06549467423107497, 0.11389897795433694, 0.2472564193836235, 0.051698741486959875, 0.2432315986841283, -0.4715198473261788, -0.2313842936691412, 0.07796062021813494, 0.17853599953207563, 0.1814691548253053, -0.05936732778726319, -0.31247866746196723, -0.002560126690560595, -0.11195003808020278, -0.11859081826232215, -0.0756681552949421, -0.027779656155233052, -0.029298325505186903, -0.23456686673725538, 0.08254074253775973, 0.05652070727491593, 0.06634313806376242, -0.05393838044751356, -0.06843418737952696, -0.04694632781629867, 0.0700164075010144, 0.04810418901430007, 0.03628842533780311, 0.21424041022645665, -0.16028531210279054, -0.14798343234120848, 0.288668906004069, -0.09932221184692722, -0.05801905340396185, 0.15160892189955932, -0.14729336695126358, -0.0940430713631708, 0.2890105269492624, 0.054281485390829595, 0.16199228790232, -0.15595280207483658, -0.013317022691827584, 0.04447017461457785, 0.23198553685970763, 0.04941383538212865, 0.09712518723384339, 0.21487252015937516, 0.2161782986008899, 0.04026620293363057, 0.17064965777891747, -0.17787079753334376, -0.04241741532856162, -0.2262679704841464, -0.1523414779425985, -0.17015282692823638, 0.10399545473046601, 0.007567114092996641, -0.06625071829283967, 0.40759300606998994, 0.13979521776584194, 0.1999894395034681, -0.035912797679013744, 0.26899021820343555, 0.14788702379248322, 0.073703056067585, -0.051378378069939765, 0.2884888276606402, 0.11960888675790518, 0.0720703327349335, -0.34930443276770096, 0.11129392955998366, -0.04801950663665032] |
707.3201 | Evidence for a breakdown of the Isobaric Multiplet Mass Equation: A
study of the A=35, T=3/2 isospin quartet | Mass measurements on radionuclides along the potassium isotope chain have
been performed with the ISOLTRAP Penning trap mass spectrometer. For 35K
T1/2=178ms) to 46K (T1/2=105s) relative mass uncertainties of 2x10-8 and better
have been achieved. The accurate mass determination of 35K (dm=0.54keV) has
been exploited to test the Isobaric Multiplet Mass Equation (IMME) for the
A=35, T=3/2 isospinquartet. The experimental results indicate a deviation from
the generally adopted quadratic form.
| nucl-ex | mass measurements on radionuclides along the potassium isotope chain have been performed with the isoltrap penning trap mass spectrometer for 35k t12178ms to 46k t12105s relative mass uncertainties of 2x108 and better have been achieved the accurate mass determination of 35k dm054kev has been exploited to test the isobaric multiplet mass equation imme for the a35 t32 isospinquartet the experimental results indicate a deviation from the generally adopted quadratic form | [['mass', 'measurements', 'on', 'radionuclides', 'along', 'the', 'potassium', 'isotope', 'chain', 'have', 'been', 'performed', 'with', 'the', 'isoltrap', 'penning', 'trap', 'mass', 'spectrometer', 'for', '35k', 't12178ms', 'to', '46k', 't12105s', 'relative', 'mass', 'uncertainties', 'of', '2x108', 'and', 'better', 'have', 'been', 'achieved', 'the', 'accurate', 'mass', 'determination', 'of', '35k', 'dm054kev', 'has', 'been', 'exploited', 'to', 'test', 'the', 'isobaric', 'multiplet', 'mass', 'equation', 'imme', 'for', 'the', 'a35', 't32', 'isospinquartet', 'the', 'experimental', 'results', 'indicate', 'a', 'deviation', 'from', 'the', 'generally', 'adopted', 'quadratic', 'form']] | [-0.028523279752610535, 0.17168475840607603, -0.06625140998794725, 0.05042709716398156, -0.004760225938463753, -0.13307969952989934, 0.013186673231592233, 0.3844717429725058, -0.11312705260625631, -0.3508883447555656, 0.05570367335652312, -0.3078492041959455, 0.08035454707163753, 0.2417601261739478, 0.022433638509193606, 0.14925778431422781, 0.08466260326729919, 0.06250525048623483, -0.11439443675617715, -0.17292214829869795, 0.2273767248367552, 0.1325250476542296, 0.2454383262524833, 0.1012026906493261, 0.10482045560087444, -0.10373123142529618, 0.0266585651587582, -0.0663365690094052, -0.17406616772694344, 0.045732279421027866, 0.19254637549095083, 0.02821553900315793, 0.15507523650585703, -0.3538720603242065, -0.19203447027724574, 0.11560131205161187, 0.18176429906408442, 0.09235563710557693, -0.1269093406418423, -0.2707167220386592, 0.03408124185851634, -0.22444854778322307, -0.15814547851738153, -0.06153680029268743, 0.005780491667489211, -0.01231840762457895, -0.30369838991795073, 0.14834541361778975, -0.04078524644699593, 0.12365049070142435, -0.13561614502616454, -0.2921434510499239, -0.04666153618106336, 0.04971280478815915, 0.08083336628183271, 0.058829018782654945, 0.2084510155643026, -0.011628674075120327, -0.017555409534410996, 0.36708820645104756, -0.08768336576494304, -0.0896417988802899, 0.11081331046509811, -0.18938918154912465, -0.1552828790718746, 0.19009774161333387, 0.15280114452241722, 0.07821066726253113, -0.20876901223550015, 0.04947465766753973, -0.03275916338757132, 0.2265552260320295, 0.09585534459487959, 0.008328466704397491, 0.21732270679874063, 0.15939784623597833, -0.03086762480917528, 0.02568917054414862, -0.15396817368243568, -0.06484086496868369, -0.15934069499824988, -0.16286858013336314, -0.131407634983065, 0.03965987731300464, -0.0351433910667159, -0.07269904526148105, 0.29763293225021864, 0.09712337276495776, 0.20737363113033952, 0.018075637455860324, 0.2637740015052259, 0.12250999167780251, 0.17477882225957178, -0.01733471839829828, 0.3247099346057935, 0.24424916851531828, 0.12566447820316887, -0.3352564801991155, 0.09019619358393054, 0.03472920096564022] |
707.3202 | Stability in the instantaneous Bethe-Salpeter formalism:
harmonic-oscillator reduced Salpeter equation | A popular three-dimensional reduction of the Bethe-Salpeter formalism for the
description of bound states in quantum field theory is the Salpeter equation,
derived by assuming both instantaneous interactions and free propagation of all
bound-state constituents. Numerical (variational) studies of the Salpeter
equation with confining interaction, however, observed specific instabilities
of the solutions, likely related to the Klein paradox and rendering (part of
the) bound states unstable. An analytic investigation of this problem by a
comprehensive spectral analysis is feasible for the reduced Salpeter equation
with only harmonic-oscillator confining interactions. There we are able to
prove rigorously that the bound-state solutions correspond to real discrete
energy spectra bounded from below and are thus free of any instabilities.
| hep-ph nucl-th | a popular threedimensional reduction of the bethesalpeter formalism for the description of bound states in quantum field theory is the salpeter equation derived by assuming both instantaneous interactions and free propagation of all boundstate constituents numerical variational studies of the salpeter equation with confining interaction however observed specific instabilities of the solutions likely related to the klein paradox and rendering part of the bound states unstable an analytic investigation of this problem by a comprehensive spectral analysis is feasible for the reduced salpeter equation with only harmonicoscillator confining interactions there we are able to prove rigorously that the boundstate solutions correspond to real discrete energy spectra bounded from below and are thus free of any instabilities | [['a', 'popular', 'threedimensional', 'reduction', 'of', 'the', 'bethesalpeter', 'formalism', 'for', 'the', 'description', 'of', 'bound', 'states', 'in', 'quantum', 'field', 'theory', 'is', 'the', 'salpeter', 'equation', 'derived', 'by', 'assuming', 'both', 'instantaneous', 'interactions', 'and', 'free', 'propagation', 'of', 'all', 'boundstate', 'constituents', 'numerical', 'variational', 'studies', 'of', 'the', 'salpeter', 'equation', 'with', 'confining', 'interaction', 'however', 'observed', 'specific', 'instabilities', 'of', 'the', 'solutions', 'likely', 'related', 'to', 'the', 'klein', 'paradox', 'and', 'rendering', 'part', 'of', 'the', 'bound', 'states', 'unstable', 'an', 'analytic', 'investigation', 'of', 'this', 'problem', 'by', 'a', 'comprehensive', 'spectral', 'analysis', 'is', 'feasible', 'for', 'the', 'reduced', 'salpeter', 'equation', 'with', 'only', 'harmonicoscillator', 'confining', 'interactions', 'there', 'we', 'are', 'able', 'to', 'prove', 'rigorously', 'that', 'the', 'boundstate', 'solutions', 'correspond', 'to', 'real', 'discrete', 'energy', 'spectra', 'bounded', 'from', 'below', 'and', 'are', 'thus', 'free', 'of', 'any', 'instabilities']] | [-0.11998681094224468, 0.12536878973872356, -0.09779510297110015, 0.115380622508759, -0.0651357655116389, -0.1496910126076947, 0.02846270546032084, 0.2970413516018668, -0.21973808823105204, -0.298371700329128, 0.0457135180065585, -0.30049071669305577, -0.10187388159703978, 0.16276639830802792, 0.04485786299156989, 0.08286299708914094, 0.0984206500529424, 0.02354998335820334, -0.08296447585071919, -0.18206687429759266, 0.3694976283807372, 0.011011433718396864, 0.2460807978520812, 0.09125455037754929, 0.0643621337608081, 0.012532832793457883, 0.034022303699547875, -0.03261537098422133, -0.1721684007972789, 0.11022109490345586, 0.21685805276953535, 0.07594774149013041, 0.2561003635075457, -0.44290960787249534, -0.24820874423463027, 0.0791866562232889, 0.1834590353938783, 0.14049983750386486, -0.04781004646517023, -0.29506235715033935, 0.048530157302217235, -0.15710188954434326, -0.21987908952146898, -0.06721730278965471, 0.023859742564221458, 0.01691596921842449, -0.24460677393503358, 0.15571228865782955, 0.01725803582391156, 0.009981951804767394, -0.1689914858303884, -0.08616383957419672, -0.05397579362234582, 0.05483265402967688, 0.04561504351119671, 0.021010219286083532, 0.06808193555053581, -0.17429039409938107, -0.08398238993008975, 0.4011336832532081, -0.04873134406957904, -0.22045593766559815, 0.18485483089522137, -0.10991209594945318, -0.06122023056277299, 0.16912358790507603, 0.11330403016221806, 0.13054836222677138, -0.16022469696653044, 0.13205964608240375, -0.035865490509454034, 0.15671870720187395, 0.05522946381523948, -0.0018243566476579371, 0.16012454536293858, 0.11074380159121135, 0.02717485044408461, 0.09481959109965327, 0.015524396326609662, -0.1668523060968788, -0.33432448498005496, -0.09222752453259656, -0.1887707372711859, 0.08594408462422193, -0.06552636428148553, -0.20237769722207932, 0.3586589712649584, 0.11250734453077994, 0.1330189120329531, 0.04227591614873181, 0.2673691837960083, 0.21568335675642472, 0.042366819837580214, 0.08614429485470314, 0.25594882915952594, 0.17066326687024136, 0.042732865565681254, -0.2614703547442332, -0.019157587121048106, 0.059814901039348556] |
707.3203 | Geo-neutrinos and Earth's interior | The deepest hole that has ever been dug is about 12 km deep. Geochemists
analyze samples from the Earth's crust and from the top of the mantle.
Seismology can reconstruct the density profile throughout all Earth, but not
its composition. In this respect, our planet is mainly unexplored.
Geo-neutrinos, the antineutrinos from the progenies of U, Th and K40 decays in
the Earth, bring to the surface information from the whole planet, concerning
its content of natural radioactive elements. Their detection can shed light on
the sources of the terrestrial heat flow, on the present composition, and on
the origins of the Earth. Geo-neutrinos represent a new probe of our planet,
which can be exploited as a consequence of two fundamental advances that
occurred in the last few years: the development of extremely low background
neutrino detectors and the progress on understanding neutrino propagation. We
review the status and the prospects of the field.
| physics.geo-ph astro-ph hep-ph nucl-ex nucl-th | the deepest hole that has ever been dug is about 12 km deep geochemists analyze samples from the earths crust and from the top of the mantle seismology can reconstruct the density profile throughout all earth but not its composition in this respect our planet is mainly unexplored geoneutrinos the antineutrinos from the progenies of u th and k40 decays in the earth bring to the surface information from the whole planet concerning its content of natural radioactive elements their detection can shed light on the sources of the terrestrial heat flow on the present composition and on the origins of the earth geoneutrinos represent a new probe of our planet which can be exploited as a consequence of two fundamental advances that occurred in the last few years the development of extremely low background neutrino detectors and the progress on understanding neutrino propagation we review the status and the prospects of the field | [['the', 'deepest', 'hole', 'that', 'has', 'ever', 'been', 'dug', 'is', 'about', '12', 'km', 'deep', 'geochemists', 'analyze', 'samples', 'from', 'the', 'earths', 'crust', 'and', 'from', 'the', 'top', 'of', 'the', 'mantle', 'seismology', 'can', 'reconstruct', 'the', 'density', 'profile', 'throughout', 'all', 'earth', 'but', 'not', 'its', 'composition', 'in', 'this', 'respect', 'our', 'planet', 'is', 'mainly', 'unexplored', 'geoneutrinos', 'the', 'antineutrinos', 'from', 'the', 'progenies', 'of', 'u', 'th', 'and', 'k40', 'decays', 'in', 'the', 'earth', 'bring', 'to', 'the', 'surface', 'information', 'from', 'the', 'whole', 'planet', 'concerning', 'its', 'content', 'of', 'natural', 'radioactive', 'elements', 'their', 'detection', 'can', 'shed', 'light', 'on', 'the', 'sources', 'of', 'the', 'terrestrial', 'heat', 'flow', 'on', 'the', 'present', 'composition', 'and', 'on', 'the', 'origins', 'of', 'the', 'earth', 'geoneutrinos', 'represent', 'a', 'new', 'probe', 'of', 'our', 'planet', 'which', 'can', 'be', 'exploited', 'as', 'a', 'consequence', 'of', 'two', 'fundamental', 'advances', 'that', 'occurred', 'in', 'the', 'last', 'few', 'years', 'the', 'development', 'of', 'extremely', 'low', 'background', 'neutrino', 'detectors', 'and', 'the', 'progress', 'on', 'understanding', 'neutrino', 'propagation', 'we', 'review', 'the', 'status', 'and', 'the', 'prospects', 'of', 'the', 'field']] | [-0.05139781572563829, 0.1901766777653369, -0.06710775428622036, 0.06311665596881748, -0.07607509305219781, -0.012708246458346157, 0.06321639043135946, 0.3092841251929796, -0.2625594093111265, -0.32136578864328186, 0.13262175736732756, -0.3204983402853162, -0.09572193097761449, 0.2238040760682981, -0.03325331415920184, 0.008141443254334815, 0.09216695312361896, 0.056937922863594066, -0.08317960128439225, -0.22838313544315159, 0.266131932338931, 0.09872059904939032, 0.2217836045854865, 0.08670151795966709, 0.07485802385049074, -0.0713324784027303, -0.07012764767141026, -0.09049033371692072, -0.11517372658962058, 0.13817733583144015, 0.20715233339361994, 0.18327667908377798, 0.19155833133636346, -0.47157351867435804, -0.24628691620564733, 0.08839528615665591, 0.12191692370391798, 0.06087260755628128, -0.0847281458471092, -0.30531285434742184, 0.054736196262049765, -0.16299329004463514, -0.10829979809780234, 0.02120791400670153, 0.025061882573508602, 0.009639841857445396, -0.1685221070550029, 0.0324406511792487, 0.0344206550443131, 0.06606936326183475, -0.08981208220501644, -0.18068626813675745, -0.018122235581650114, 0.15222090122813445, 0.101218343392818, 0.025407912190607902, 0.15937261784668355, -0.14829930896700355, -0.020711457508987462, 0.40597209851774907, -0.09420467288160295, -0.07076827768583362, 0.21136325567327682, -0.21364008694992925, -0.11174487888058221, 0.1351620171742599, 0.22510441907018033, 0.1180861963726142, -0.179600294655055, 0.08090226752421015, -0.04400549247157851, 0.15699448136710167, 0.06779303807107841, 0.042135201656302204, 0.3376059333361637, 0.2219755872657973, 0.07427543072711701, 0.03823034410985807, -0.19772248100976345, -0.0222065006352328, -0.25512529606170026, -0.16680137328560057, -0.13544613939901703, 0.06941105481064072, -0.04219106742395073, -0.11867881958864422, 0.4303747281261714, 0.16627196537245528, 0.17254118357018075, -0.06401273190482136, 0.29125949449447636, 0.027076668776358705, 0.07149657881910018, 0.05509424557775454, 0.337880823700354, 0.16166675578364553, 0.1456766975807708, -0.22799503290112696, 0.12781544025756078, 0.007291284233051675] |
707.3204 | Emergence of the NMSGUT | We trace the emergence of the ``New Minimal'' supersymmetric SO(10) GUT
(NMSGUT) out of the debris created by our demonstration that the MSGUT is
falsified by the data. The NMSGUT is based on ${\bf{210\oplus 10\oplus
120\oplus 126\oplus {\bar {126}}}}$ Higgs system. It has only spontaneous CP
violation and Type I seesaw. With only 24 real superpotential parameters it is
the simplest model capable of accommodating the known 18 parameter fermion mass
data set and yet has enough freedom to accommodate the still unknown Leptonic
CP violation and neutrino mass scale parameters. Our focus is on the two most
salient features uncovered by our analysis: the domination of the
${\bf{\bar{126}}}$ Yukawa couplings by those of the ${\bf{10,120}}$ (required
for evasion of the no-go that trapped the MSGUT) and the inescapable raising of
the Baryon violation scales(and thus suppression of proton decay) decreed by a
proper inclusion of the threshold effects associated with the calculated
superheavy spectra. These two structural features are shown to be
complementary.
| hep-ph | we trace the emergence of the new minimal supersymmetric so10 gut nmsgut out of the debris created by our demonstration that the msgut is falsified by the data the nmsgut is based on bf210oplus 10oplus 120oplus 126oplus bar 126 higgs system it has only spontaneous cp violation and type i seesaw with only 24 real superpotential parameters it is the simplest model capable of accommodating the known 18 parameter fermion mass data set and yet has enough freedom to accommodate the still unknown leptonic cp violation and neutrino mass scale parameters our focus is on the two most salient features uncovered by our analysis the domination of the bfbar126 yukawa couplings by those of the bf10120 required for evasion of the nogo that trapped the msgut and the inescapable raising of the baryon violation scalesand thus suppression of proton decay decreed by a proper inclusion of the threshold effects associated with the calculated superheavy spectra these two structural features are shown to be complementary | [['we', 'trace', 'the', 'emergence', 'of', 'the', 'new', 'minimal', 'supersymmetric', 'so10', 'gut', 'nmsgut', 'out', 'of', 'the', 'debris', 'created', 'by', 'our', 'demonstration', 'that', 'the', 'msgut', 'is', 'falsified', 'by', 'the', 'data', 'the', 'nmsgut', 'is', 'based', 'on', 'bf210oplus', '10oplus', '120oplus', '126oplus', 'bar', '126', 'higgs', 'system', 'it', 'has', 'only', 'spontaneous', 'cp', 'violation', 'and', 'type', 'i', 'seesaw', 'with', 'only', '24', 'real', 'superpotential', 'parameters', 'it', 'is', 'the', 'simplest', 'model', 'capable', 'of', 'accommodating', 'the', 'known', '18', 'parameter', 'fermion', 'mass', 'data', 'set', 'and', 'yet', 'has', 'enough', 'freedom', 'to', 'accommodate', 'the', 'still', 'unknown', 'leptonic', 'cp', 'violation', 'and', 'neutrino', 'mass', 'scale', 'parameters', 'our', 'focus', 'is', 'on', 'the', 'two', 'most', 'salient', 'features', 'uncovered', 'by', 'our', 'analysis', 'the', 'domination', 'of', 'the', 'bfbar126', 'yukawa', 'couplings', 'by', 'those', 'of', 'the', 'bf10120', 'required', 'for', 'evasion', 'of', 'the', 'nogo', 'that', 'trapped', 'the', 'msgut', 'and', 'the', 'inescapable', 'raising', 'of', 'the', 'baryon', 'violation', 'scalesand', 'thus', 'suppression', 'of', 'proton', 'decay', 'decreed', 'by', 'a', 'proper', 'inclusion', 'of', 'the', 'threshold', 'effects', 'associated', 'with', 'the', 'calculated', 'superheavy', 'spectra', 'these', 'two', 'structural', 'features', 'are', 'shown', 'to', 'be', 'complementary']] | [-0.10155875701746493, 0.20941375866127404, -0.015570509474527854, 0.12504163206849964, -0.10449165654200945, -0.16778069867872522, 0.0645581773028171, 0.25696027335300115, -0.2060928163010199, -0.32982345812184655, 0.08798804558648711, -0.2688926598924843, -0.07695776037293377, 0.13357893056930362, 0.005638000724174846, 0.05350640195245444, 0.022617008811100067, 0.0022515027989164827, -0.023658144497095683, -0.24126360319577944, 0.3325092814373205, 0.05397496202393719, 0.22369568521932046, 0.06410234234720955, 0.07163971901787387, -0.06151743804868195, -0.03388265774567953, -0.05632806173670366, -0.09638662138631675, 0.09254149069629251, 0.15917851203208014, 0.14097099046957512, 0.14181313328213574, -0.35469155744157776, -0.18994853570363165, 0.15920278200408247, 0.12580559828162471, 0.09092336721134066, -0.07468961759019203, -0.31693000629868195, 0.08555270424575447, -0.17588718322117275, -0.11727838717568781, -0.09633499457680197, -0.011429661676657866, -0.08640598273193985, -0.2922458811576322, 0.0859602426015338, -0.008821690531002114, 0.0369196054814904, 0.0031055600370818413, -0.14095929013753183, -0.07270971057294458, 0.03292028919319327, 0.1358904168928065, -0.01806647448817858, 0.14071475850238888, -0.1577464200582309, -0.11684164801693481, 0.41018559479426525, -0.04688482318414803, -0.1432605382989259, 0.1393193156973268, -0.1419401180754005, -0.1540815628839437, 0.1334645140811986, 0.08837685931795017, 0.0685783116514245, -0.17186048585828972, 0.1508260837261513, -0.06786996827559164, 0.16748369802498136, 0.04311493907690696, 0.04280150170952822, 0.24041330773525826, 0.18347510489814492, 0.027485954445809913, 0.025236058600611337, -0.0944660712042413, -0.07139752652374623, -0.3876127585745561, -0.09484665527338197, -0.14239149376669008, 0.047725550895441116, -0.10199452646659479, -0.08916276022383324, 0.42803513966732143, 0.1304835823374679, 0.21607041211295525, 0.021299883743505114, 0.25085360661614686, 0.05591442563105736, 0.14502700321630846, 0.030522729267267894, 0.31657940486839375, 0.12733184459029193, 0.07124079277981883, -0.29677509824218956, 0.04307159365253141, 0.05414801492407825] |
707.3205 | Neutrality and Many-Valued Logics | In this book, we consider various many-valued logics: standard, linear,
hyperbolic, parabolic, non-Archimedean, p-adic, interval, neutrosophic, etc. We
survey also results which show the tree different proof-theoretic frameworks
for many-valued logics, e.g. frameworks of the following deductive calculi:
Hilbert's style, sequent, and hypersequent. We present a general way that
allows to construct systematically analytic calculi for a large family of
non-Archimedean many-valued logics: hyperrational-valued, hyperreal-valued, and
p-adic valued logics characterized by a special format of semantics with an
appropriate rejection of Archimedes' axiom. These logics are built as different
extensions of standard many-valued logics (namely, Lukasiewicz's, Goedel's,
Product, and Post's logics). The informal sense of Archimedes' axiom is that
anything can be measured by a ruler. Also logical multiple-validity without
Archimedes' axiom consists in that the set of truth values is infinite and it
is not well-founded and well-ordered. On the base of non-Archimedean valued
logics, we construct non-Archimedean valued interval neutrosophic logic INL by
which we can describe neutrality phenomena.
| cs.LO cs.AI | in this book we consider various manyvalued logics standard linear hyperbolic parabolic nonarchimedean padic interval neutrosophic etc we survey also results which show the tree different prooftheoretic frameworks for manyvalued logics eg frameworks of the following deductive calculi hilberts style sequent and hypersequent we present a general way that allows to construct systematically analytic calculi for a large family of nonarchimedean manyvalued logics hyperrationalvalued hyperrealvalued and padic valued logics characterized by a special format of semantics with an appropriate rejection of archimedes axiom these logics are built as different extensions of standard manyvalued logics namely lukasiewiczs goedels product and posts logics the informal sense of archimedes axiom is that anything can be measured by a ruler also logical multiplevalidity without archimedes axiom consists in that the set of truth values is infinite and it is not wellfounded and wellordered on the base of nonarchimedean valued logics we construct nonarchimedean valued interval neutrosophic logic inl by which we can describe neutrality phenomena | [['in', 'this', 'book', 'we', 'consider', 'various', 'manyvalued', 'logics', 'standard', 'linear', 'hyperbolic', 'parabolic', 'nonarchimedean', 'padic', 'interval', 'neutrosophic', 'etc', 'we', 'survey', 'also', 'results', 'which', 'show', 'the', 'tree', 'different', 'prooftheoretic', 'frameworks', 'for', 'manyvalued', 'logics', 'eg', 'frameworks', 'of', 'the', 'following', 'deductive', 'calculi', 'hilberts', 'style', 'sequent', 'and', 'hypersequent', 'we', 'present', 'a', 'general', 'way', 'that', 'allows', 'to', 'construct', 'systematically', 'analytic', 'calculi', 'for', 'a', 'large', 'family', 'of', 'nonarchimedean', 'manyvalued', 'logics', 'hyperrationalvalued', 'hyperrealvalued', 'and', 'padic', 'valued', 'logics', 'characterized', 'by', 'a', 'special', 'format', 'of', 'semantics', 'with', 'an', 'appropriate', 'rejection', 'of', 'archimedes', 'axiom', 'these', 'logics', 'are', 'built', 'as', 'different', 'extensions', 'of', 'standard', 'manyvalued', 'logics', 'namely', 'lukasiewiczs', 'goedels', 'product', 'and', 'posts', 'logics', 'the', 'informal', 'sense', 'of', 'archimedes', 'axiom', 'is', 'that', 'anything', 'can', 'be', 'measured', 'by', 'a', 'ruler', 'also', 'logical', 'multiplevalidity', 'without', 'archimedes', 'axiom', 'consists', 'in', 'that', 'the', 'set', 'of', 'truth', 'values', 'is', 'infinite', 'and', 'it', 'is', 'not', 'wellfounded', 'and', 'wellordered', 'on', 'the', 'base', 'of', 'nonarchimedean', 'valued', 'logics', 'we', 'construct', 'nonarchimedean', 'valued', 'interval', 'neutrosophic', 'logic', 'inl', 'by', 'which', 'we', 'can', 'describe', 'neutrality', 'phenomena']] | [-0.11751352755981646, 0.060346636500830206, -0.13746842867724454, 0.17593325294441525, -0.2342676631572425, -0.14384788601617715, 0.057246111917671316, 0.3496717002026286, -0.33121512582300194, -0.21721566738976036, 0.04972875146580872, -0.26753164037395116, -0.0674612307268533, 0.17809183156536001, -0.2018582302080408, 0.038348667524628205, -0.012748307334911672, 0.0798369697473089, -0.05260752719399893, -0.2348423154485578, 0.3763096481324381, -0.09738345471341281, 0.2198349390724662, 0.0024922719035463726, 0.13987273146640464, 0.07393475761043893, 0.008545322008549598, 0.09157048730523723, -0.14800685440455408, 0.12377100417414194, 0.42618540895118073, 0.2430458020027371, 0.32531785191879103, -0.40515204665553606, -0.10583383619049742, 0.08981916367129725, 0.0624585397912087, 0.029922436904992647, 0.05093450946540566, -0.3653189990473733, 0.04574955488661909, -0.2140187992149694, -0.076784029247085, -0.16584371511118523, 0.0723026471374153, 0.047998895908699955, -0.21376460253492377, -0.07696263994584097, 0.22717297377337695, 0.2387975008911207, -0.06166996070588672, -0.10800259976105017, -0.0009163006907328963, -0.01527528325614822, -0.04785832925180602, -0.0028360951988465467, 0.12832234925620115, -0.010963014709603066, -0.2486759921303019, 0.3455109431947415, -0.06901518992818655, -0.2072906920176213, 0.1077803536629672, -0.10370843573087815, -0.19034524222355406, 0.020167498705481554, 0.04888414407807408, 0.12684702128320222, -0.13645511855531461, 0.17417525714315224, -0.12063910670364929, 0.19709601746812747, 0.18854257233802726, 0.06329880136726602, 0.20257781341280431, 0.13505630909871594, 0.0006550194459795288, 0.14586945069704654, 0.08595326333010131, -0.13467676811228702, -0.34923954108718097, -0.14665761388316276, -0.02555600281324309, 0.031022700690312138, -0.11726158651310853, -0.2526741645352286, 0.3411818012939232, 0.1706542343547817, 0.06649174962554626, 0.1991481876644383, 0.26636064865857745, 0.1146541650820958, 0.09622988408538187, -0.03313680351092658, 0.111705553878075, 0.16661560264190622, 0.1093137372050814, -0.03726130376041979, 0.062197544511146605, 0.1177789970037118] |
707.3206 | A random walker on a ratchet potential: Effect of a non Gaussian noise | We analyze the effect of a colored non Gaussian noise on a model of a random
walker moving along a ratchet potential. Such a model was motivated by the
transport properties of motor proteins, like kinesin and myosin. Previous
studies have been realized assuming white noises. However, for real situations,
in general we could expect that those noises be correlated and non Gaussian.
Among other aspects, in addition to a maximum in the current as the noise
intensity is varied, we have also found another optimal value of the current
when departing from Gaussian behavior. We show the relevant effects that arise
when departing from Gaussian behavior, particularly related to current's
enhancement, and discuss its relevance for both biological and technological
situations.
| cond-mat.stat-mech cond-mat.other | we analyze the effect of a colored non gaussian noise on a model of a random walker moving along a ratchet potential such a model was motivated by the transport properties of motor proteins like kinesin and myosin previous studies have been realized assuming white noises however for real situations in general we could expect that those noises be correlated and non gaussian among other aspects in addition to a maximum in the current as the noise intensity is varied we have also found another optimal value of the current when departing from gaussian behavior we show the relevant effects that arise when departing from gaussian behavior particularly related to currents enhancement and discuss its relevance for both biological and technological situations | [['we', 'analyze', 'the', 'effect', 'of', 'a', 'colored', 'non', 'gaussian', 'noise', 'on', 'a', 'model', 'of', 'a', 'random', 'walker', 'moving', 'along', 'a', 'ratchet', 'potential', 'such', 'a', 'model', 'was', 'motivated', 'by', 'the', 'transport', 'properties', 'of', 'motor', 'proteins', 'like', 'kinesin', 'and', 'myosin', 'previous', 'studies', 'have', 'been', 'realized', 'assuming', 'white', 'noises', 'however', 'for', 'real', 'situations', 'in', 'general', 'we', 'could', 'expect', 'that', 'those', 'noises', 'be', 'correlated', 'and', 'non', 'gaussian', 'among', 'other', 'aspects', 'in', 'addition', 'to', 'a', 'maximum', 'in', 'the', 'current', 'as', 'the', 'noise', 'intensity', 'is', 'varied', 'we', 'have', 'also', 'found', 'another', 'optimal', 'value', 'of', 'the', 'current', 'when', 'departing', 'from', 'gaussian', 'behavior', 'we', 'show', 'the', 'relevant', 'effects', 'that', 'arise', 'when', 'departing', 'from', 'gaussian', 'behavior', 'particularly', 'related', 'to', 'currents', 'enhancement', 'and', 'discuss', 'its', 'relevance', 'for', 'both', 'biological', 'and', 'technological', 'situations']] | [-0.09207167568021134, 0.15757242511179237, -0.06755934086948877, 0.07000270205049883, -0.03184528381670596, -0.17405297016709675, 0.050164717801829385, 0.3909784761242202, -0.27460459372425666, -0.24450218822562791, 0.08537068501492719, -0.2910977949495198, -0.2337606569568886, 0.23346762949997774, -0.09529290344856191, 0.03181467586927895, 0.024044966362378576, 0.04961018652424262, -0.009378104028864534, -0.19592892896521408, 0.29065031230785565, 0.029758744847342432, 0.2845301792945438, 0.008776032419295096, 0.07134777009029125, -0.025540203001105884, -0.023229452750844058, 0.07560008231428314, -0.08454266148220965, 0.04590098167479527, 0.19081488327260632, 0.05219165604660807, 0.2599404482399953, -0.4218713269591881, -0.30934400474805324, 0.14842940611215155, 0.12173906092619767, 0.1463308397863732, -0.055588004372409947, -0.28536149789197524, 0.06036879116531889, -0.1417648866219202, -0.1190397245771267, -0.059643270934504444, 0.011792479815786003, 0.08127473270020555, -0.2735809527917719, 0.08866242356536352, 0.07895796510131388, 0.054572626517047404, -0.03608603368143047, -0.1546851246508953, -0.0009458092438270811, 0.13725018498848468, 0.059927189466925185, -0.006385427365293269, 0.2138794641560096, -0.19052208196677145, -0.13968347630188724, 0.37232376565273134, -0.09039273965706834, -0.23610180090124275, 0.20166675089171432, -0.13566537987685107, -0.13978277352928628, 0.08479884826028566, 0.1684509229037117, 0.059806243970715364, -0.17411490977616775, 0.05972245586539817, -0.009938070539110264, 0.09907356207068155, 0.06497461373200182, 0.032935640299940845, 0.20939343680673447, 0.1498197024825533, 0.04591526572027656, 0.1669527118692564, -0.1022065715600935, -0.14239577945230192, -0.26263958744544413, -0.10847850691443156, -0.1582781032031234, 0.06796000917350538, -0.05325971842508717, -0.1438024655427234, 0.3862243096924341, 0.20030056947811706, 0.2172003329624651, 0.02083481423801086, 0.2725479518689337, 0.11007448471796348, 0.018751020134869414, 0.039908517026113435, 0.2198303931881292, 0.11259722002575816, 0.11519443825818598, -0.19975506575667437, 0.10821951706283038, -0.06511681471172659] |
707.3207 | Index theory for actions of compact Lie groups on C*-algebras | We study the index theory for actions of compact Lie groups on C*-algebras
with an emphasis on principal actions. Given an invariant semifinite trace on
the C*-algebra we obtain semifinite spectral triples. For circle actions we
consider the relation to the dual Pimsner-Voiculescu sequence. On the way we
show that the notions ``saturated'' and ``principal'' are equivalent for
actions by compact Lie groups.
| math.KT math.OA | we study the index theory for actions of compact lie groups on calgebras with an emphasis on principal actions given an invariant semifinite trace on the calgebra we obtain semifinite spectral triples for circle actions we consider the relation to the dual pimsnervoiculescu sequence on the way we show that the notions saturated and principal are equivalent for actions by compact lie groups | [['we', 'study', 'the', 'index', 'theory', 'for', 'actions', 'of', 'compact', 'lie', 'groups', 'on', 'calgebras', 'with', 'an', 'emphasis', 'on', 'principal', 'actions', 'given', 'an', 'invariant', 'semifinite', 'trace', 'on', 'the', 'calgebra', 'we', 'obtain', 'semifinite', 'spectral', 'triples', 'for', 'circle', 'actions', 'we', 'consider', 'the', 'relation', 'to', 'the', 'dual', 'pimsnervoiculescu', 'sequence', 'on', 'the', 'way', 'we', 'show', 'that', 'the', 'notions', 'saturated', 'and', 'principal', 'are', 'equivalent', 'for', 'actions', 'by', 'compact', 'lie', 'groups']] | [-0.13724652307462834, 0.08698027350779046, -0.09161875154527407, 0.09217266587629205, -0.10719728248474734, -0.08720955902355768, 0.01448212969782097, 0.48688666336238384, -0.27245072251747526, -0.19493594163260053, 0.15210562837975367, -0.26459923903975224, -0.11251104631949038, 0.2008097902354267, -0.2043293220774522, -0.049889849193970714, 0.0779676491113764, 0.1996914848744396, -0.1232562090661968, -0.19791311139817394, 0.5166809323598587, -0.01908399948170261, 0.2263646379615816, -0.014157366820625843, 0.09494884007625164, 0.05103484924793953, -0.08522794908651757, -0.0038576043610061917, -0.15159095948368462, 0.17352767871131028, 0.24576177980218614, 0.08479504624292963, 0.1941409549779362, -0.3535367635980485, -0.1368896003871683, 0.15350243955525378, 0.04633418395967474, -0.06013795009089841, -0.03027066747317948, -0.34155270850492847, 0.09678286596733544, -0.21741790567443425, -0.08636379909391205, -0.10116337666968031, 0.05588335375345889, -0.046214224345627976, -0.21768385528158102, -0.012925844816934495, 0.0884558984507171, 0.11197155915082448, -0.15203019442214144, -0.036848760165628935, -0.025677046295078026, 0.16669112260616015, -0.04148245741251028, -0.047450580268300006, 0.15227091680502608, -0.02272335483899547, -0.16842632011939135, 0.36404257649112315, -0.08780623308663803, -0.21999482369966925, 0.17517020361172775, -0.17574806305180704, -0.2573968822594791, 0.04836371759810145, 0.1032067836513595, 0.19426347622795712, -0.02645182317549673, 0.1404061655962973, -0.14218712910004552, 0.10629908186161802, 0.0007491083002634464, 0.03338127591395899, 0.17843952542910027, 0.07341502246166033, 0.13563613586926035, 0.12961437829607536, 0.07807523990789103, -0.007427520872581573, -0.3488778469581453, -0.18864482143775574, -0.07037034321073739, 0.13090315709511438, -0.12860623200120042, -0.17624270024576358, 0.3817387315193339, 0.08025853576818628, 0.1961561557910745, 0.17689323636688412, 0.18318758647711503, 0.14164504691928861, 0.053095357285605535, 0.06521927330288149, 0.11864625544302047, 0.27856430793107145, -0.1051228241699319, -0.18044696576775066, -0.10296913210509552, 0.24046920414363582] |
707.3208 | Amplification of gravitational waves signal in Michelson
coherent-squeezed interferometer | Gravitational waves reaching a Michelson interferometer are expected to
induce a very small change in the length of its arms causing a phase shift
between them, but it is very difficult to observe the extremely small phase
shift signals produced. In the present letter we show that the gravitational
waves signal could be amplified by orders of magnitude by using very special
conditions for a coherent-squeezed Michelson interferometer in which the
coherent state enters one port of the interferometer and the squeezed vacuum
enters in the other port. We treat the case where without the gravitational
induced phase shift the very strong coherent state goes out of one output port
while the squeezed vacuum goes out the other output port (the ``dark'' port).
While the phase shift produced by the gravitation waves does not give any
significant change in the strong coherent output, the light intensity in the
``dark'' port is amplified with decreased fluctuations as the squeezing
increases.
| gr-qc | gravitational waves reaching a michelson interferometer are expected to induce a very small change in the length of its arms causing a phase shift between them but it is very difficult to observe the extremely small phase shift signals produced in the present letter we show that the gravitational waves signal could be amplified by orders of magnitude by using very special conditions for a coherentsqueezed michelson interferometer in which the coherent state enters one port of the interferometer and the squeezed vacuum enters in the other port we treat the case where without the gravitational induced phase shift the very strong coherent state goes out of one output port while the squeezed vacuum goes out the other output port the dark port while the phase shift produced by the gravitation waves does not give any significant change in the strong coherent output the light intensity in the dark port is amplified with decreased fluctuations as the squeezing increases | [['gravitational', 'waves', 'reaching', 'a', 'michelson', 'interferometer', 'are', 'expected', 'to', 'induce', 'a', 'very', 'small', 'change', 'in', 'the', 'length', 'of', 'its', 'arms', 'causing', 'a', 'phase', 'shift', 'between', 'them', 'but', 'it', 'is', 'very', 'difficult', 'to', 'observe', 'the', 'extremely', 'small', 'phase', 'shift', 'signals', 'produced', 'in', 'the', 'present', 'letter', 'we', 'show', 'that', 'the', 'gravitational', 'waves', 'signal', 'could', 'be', 'amplified', 'by', 'orders', 'of', 'magnitude', 'by', 'using', 'very', 'special', 'conditions', 'for', 'a', 'coherentsqueezed', 'michelson', 'interferometer', 'in', 'which', 'the', 'coherent', 'state', 'enters', 'one', 'port', 'of', 'the', 'interferometer', 'and', 'the', 'squeezed', 'vacuum', 'enters', 'in', 'the', 'other', 'port', 'we', 'treat', 'the', 'case', 'where', 'without', 'the', 'gravitational', 'induced', 'phase', 'shift', 'the', 'very', 'strong', 'coherent', 'state', 'goes', 'out', 'of', 'one', 'output', 'port', 'while', 'the', 'squeezed', 'vacuum', 'goes', 'out', 'the', 'other', 'output', 'port', 'the', 'dark', 'port', 'while', 'the', 'phase', 'shift', 'produced', 'by', 'the', 'gravitation', 'waves', 'does', 'not', 'give', 'any', 'significant', 'change', 'in', 'the', 'strong', 'coherent', 'output', 'the', 'light', 'intensity', 'in', 'the', 'dark', 'port', 'is', 'amplified', 'with', 'decreased', 'fluctuations', 'as', 'the', 'squeezing', 'increases']] | [-0.20013497363916546, 0.24344648550844417, -0.08052302051391218, 0.0633031305133617, -0.06876959737958445, -0.14288986256088382, 0.031090241648936236, 0.33897179447161324, -0.2692215078211618, -0.2935133664253748, 0.05761063811896404, -0.254587806885734, -0.10160051036989258, 0.2113708292585124, -0.02282275762350398, -0.01878732008275242, 0.07492653992387273, 0.04946827294550977, -0.03618984028137635, -0.1634602256356475, 0.28879194207630066, 0.08702697888977311, 0.2759913229720327, -0.020492486986653798, 0.12220472894585545, -0.007873980773601142, 0.0012410624192898754, -0.003228899398994333, -0.0535478969004372, -0.01836159370792737, 0.23428870852210754, 0.09155780644413763, 0.2345111836743711, -0.4538983513817847, -0.19562756702151596, 0.13121880519602144, 0.08136795195015059, 0.1865241900313376, -0.019732278144959384, -0.33702921982028716, -0.011156640532455823, -0.15592426413435384, -0.1177514484825796, -0.001349819903174099, -0.0030271175153459766, -0.0075227109453225, -0.21649324914745097, 0.043536131033006145, 0.032049061435438786, -0.04533231358553441, 0.021528048943633027, -0.05215911702223638, -0.035255320506381256, 0.10541458038683489, 0.02790762217270222, 0.07292898177643711, 0.16710108606168214, -0.18306847874429547, -0.04520314558754739, 0.37306101407867465, -0.16445330262137284, -0.12518159093909292, 0.12563884983998988, -0.18819967175558586, -0.04707704259338203, 0.1863489142544392, 0.10989000691018952, 0.08397998788640043, -0.036601399185733414, 0.03426686672269771, 0.04098102149887467, 0.23924929101558975, 0.1818806107255554, 0.09571253181487885, 0.26248187387842425, 0.10827257387477716, 0.0894765239853248, 0.2019936376919021, -0.1437441693386795, -0.06507522617276383, -0.31136219167851975, -0.09270629961535616, -0.15603639220572868, 0.021734685947497685, -0.043468630421557464, -0.14325401031429758, 0.3833103840775296, 0.13142286173694726, 0.16264323525587623, -0.02803360695332734, 0.3617930023479949, 0.15722701975741898, 0.07538164715112755, 0.02387513438790287, 0.38246422699131305, 0.13016552807479137, 0.13493808488794984, -0.24270077395903053, 0.056665941055149494, -0.036877628281103365] |
707.3209 | Commensurability effects for fermionic atoms trapped in 1D optical
lattices | Fermionic atoms in two different hyperfine states confined in optical
lattices show strong commensurability effects due to the interplay between the
atomic density wave (ADW) ordering and the lattice potential. We show that
spatially separated regions of commensurable and incommensurable phases can
coexist. The commensurability between the harmonic trap and the lattice sites
can be used to control the amplitude of the atomic density waves in the central
region of the trap.
| cond-mat.str-el | fermionic atoms in two different hyperfine states confined in optical lattices show strong commensurability effects due to the interplay between the atomic density wave adw ordering and the lattice potential we show that spatially separated regions of commensurable and incommensurable phases can coexist the commensurability between the harmonic trap and the lattice sites can be used to control the amplitude of the atomic density waves in the central region of the trap | [['fermionic', 'atoms', 'in', 'two', 'different', 'hyperfine', 'states', 'confined', 'in', 'optical', 'lattices', 'show', 'strong', 'commensurability', 'effects', 'due', 'to', 'the', 'interplay', 'between', 'the', 'atomic', 'density', 'wave', 'adw', 'ordering', 'and', 'the', 'lattice', 'potential', 'we', 'show', 'that', 'spatially', 'separated', 'regions', 'of', 'commensurable', 'and', 'incommensurable', 'phases', 'can', 'coexist', 'the', 'commensurability', 'between', 'the', 'harmonic', 'trap', 'and', 'the', 'lattice', 'sites', 'can', 'be', 'used', 'to', 'control', 'the', 'amplitude', 'of', 'the', 'atomic', 'density', 'waves', 'in', 'the', 'central', 'region', 'of', 'the', 'trap']] | [-0.22359085041615698, 0.2878908854003789, -0.01931674828908096, 0.04509662580676377, 0.05127873377771013, -0.11971240661417444, 0.07350414448107283, 0.41631796480053, -0.29647944163944984, -0.25492103829876417, -0.003581447900311711, -0.26766448541052845, -0.09693303298101658, 0.12150323745380673, 0.06766219575163429, -0.0032308559036917156, -0.0028000574740063813, -0.027259640719017222, -0.06935246390639804, -0.19879435414461316, 0.3042575279186066, -0.02236992739037507, 0.2903778830853601, 0.10976157557322747, 0.026281715306039486, -0.019587474409490824, 0.07796711530277713, 0.012119638888786236, -0.1259482104963657, 0.12721996098338828, 0.2308654233865026, -0.07162378725802733, 0.17656234570959997, -0.4885680501401011, -0.21320163333115894, 0.08965133655712837, 0.16457337054372248, 0.161200814312906, -0.012110981443482969, -0.34254249648397994, -0.05423127333374901, -0.1196580214632882, -0.14224466319299406, -0.07026839081663638, 0.03298859007190913, 0.10135319594862974, -0.23159144773510182, 0.11898065500685738, 0.04178731210575077, 0.07829713715667215, -0.12198522974358639, -0.046878409009271614, -0.062228609445608325, 0.13141507788613024, -0.013117086970143847, 0.015738329080502607, 0.12878690634776527, -0.07994943817498602, -0.08710055029304284, 0.4214743443557786, -0.09163606328527546, -0.12930585489246166, 0.2555102459672425, -0.24062605375871093, -0.03548744388131632, 0.14566304960236368, 0.17371421752290594, 0.03244791210292735, -0.059659097712331764, 0.05303688312819253, -0.03600354564110199, 0.2136128429426915, 0.13386162836104631, 0.08171046376487033, 0.2869155676000648, 0.06705254188919854, 0.11136452318169177, 0.18517715017434158, -0.13086322586362562, -0.11681295743781245, -0.24794021455778015, -0.07759508419419742, -0.20161708521967134, -0.018112120838850387, -0.05242499912148762, -0.14473108418234107, 0.41061231689915684, 0.08943019811704289, 0.18618961058867475, -0.10733154751101716, 0.21232009735993213, 0.09511066393719779, 0.0689630805217247, 0.013932153081340302, 0.27110938795117867, 0.18696167069073352, 0.02052083981430365, -0.3276272032461647, -0.05372337485379022, 0.04479985867187174] |
707.321 | Applications of the change-of-rings spectral sequence to the computation
of Hochschild cohomology | We consider the change-of-rings spectral sequence as it applies to Hochschild
cohomology, obtaining a description of the differentials on the first page
which relates it to the multiplicative stucture on cohomology. Using this
information, we are able to completely describe the cohomology structure of
monogenic algebras as well as some information on the structure of the
cohomology in more general situations.
We also show how to use the spectral sequence to reprove and generalize
results of M. Auslander et. al. about homological epimorphisms. We derive from
this a rather general version of the long exact sequence due to D. Happel for a
one-point (co)-extension of a finite dimensional algebra and show how it can be
put to use in concrete examples.
| math.KT | we consider the changeofrings spectral sequence as it applies to hochschild cohomology obtaining a description of the differentials on the first page which relates it to the multiplicative stucture on cohomology using this information we are able to completely describe the cohomology structure of monogenic algebras as well as some information on the structure of the cohomology in more general situations we also show how to use the spectral sequence to reprove and generalize results of m auslander et al about homological epimorphisms we derive from this a rather general version of the long exact sequence due to d happel for a onepoint coextension of a finite dimensional algebra and show how it can be put to use in concrete examples | [['we', 'consider', 'the', 'changeofrings', 'spectral', 'sequence', 'as', 'it', 'applies', 'to', 'hochschild', 'cohomology', 'obtaining', 'a', 'description', 'of', 'the', 'differentials', 'on', 'the', 'first', 'page', 'which', 'relates', 'it', 'to', 'the', 'multiplicative', 'stucture', 'on', 'cohomology', 'using', 'this', 'information', 'we', 'are', 'able', 'to', 'completely', 'describe', 'the', 'cohomology', 'structure', 'of', 'monogenic', 'algebras', 'as', 'well', 'as', 'some', 'information', 'on', 'the', 'structure', 'of', 'the', 'cohomology', 'in', 'more', 'general', 'situations', 'we', 'also', 'show', 'how', 'to', 'use', 'the', 'spectral', 'sequence', 'to', 'reprove', 'and', 'generalize', 'results', 'of', 'm', 'auslander', 'et', 'al', 'about', 'homological', 'epimorphisms', 'we', 'derive', 'from', 'this', 'a', 'rather', 'general', 'version', 'of', 'the', 'long', 'exact', 'sequence', 'due', 'to', 'd', 'happel', 'for', 'a', 'onepoint', 'coextension', 'of', 'a', 'finite', 'dimensional', 'algebra', 'and', 'show', 'how', 'it', 'can', 'be', 'put', 'to', 'use', 'in', 'concrete', 'examples']] | [-0.09190799220911382, 0.004766546333363901, -0.11915415949188173, 0.1317357619040801, -0.1173008839522178, -0.10586867683256666, -0.0034932681097416206, 0.3525710281605522, -0.3403685990041898, -0.2569741797555859, 0.1375535364165747, -0.19756170248923202, -0.19348170711503673, 0.19711562934874868, -0.1781353431288153, -0.03678981221843666, 0.02164036695030518, 0.09503506364611287, -0.07461302286295297, -0.2851283554705636, 0.3954957866109908, 0.036916805638854085, 0.19797768283557768, 0.06188407297207353, 0.08034849735364939, 0.015836932971918335, -0.03682070775636627, -0.033713906273866695, -0.18436880919228618, 0.1298355252171556, 0.2915670328986986, 0.08085703261895105, 0.1823527718540087, -0.38432651947562896, -0.1376314859526853, 0.11884233077871613, 0.12364069702647006, 0.11778297489800024, -0.007668453619529222, -0.26762651818959665, 0.12056540533473405, -0.2045657814955727, -0.11169610717333853, -0.13915233944232266, 0.04405874437652528, 0.02522395985821883, -0.23494673936414376, 0.00866371884937204, 0.09821140264878826, 0.06902954766216378, -0.06029223395744339, -0.07406141884275712, -0.055106815014733, 0.12332878038287162, -0.011146876963903197, 0.01665514264993059, 0.08907751399480428, -0.07016456822245042, -0.12835379514532785, 0.36964196830522267, -0.05863927837538843, -0.21434006705336894, 0.17125093007925898, -0.157960331645639, -0.20352523561644678, 0.06337730278416226, 0.08971163707319647, 0.17147700307735553, -0.04927450973482337, 0.12958058098544523, -0.09606232156511396, 0.11595915503179034, 0.10952617373356285, 0.02851570324370793, 0.13199330652908733, 0.10241401218809187, 0.06653408842006077, 0.1829034047133367, -0.00381921633767585, -0.06148179348723109, -0.3242191888159141, -0.1954443929590828, -0.1496280793294621, 0.1531684181575353, -0.07373152515283436, -0.1641416282315428, 0.4258067888983836, 0.17839507144090022, 0.23111737988268335, 0.13334956582887875, 0.25370064133312553, 0.06285742029431277, 0.06807445238955552, 0.0487090045819059, 0.12481275854055032, 0.22543817406985908, 0.06955270464144027, -0.1200907252379693, -0.010633916105143726, 0.1882893015940984] |
707.3211 | Asymptotic behavior and orbital stability of galactic dynamics in
relativistic scalar gravity | The Nordstr\"om-Vlasov system is a relativistic Lorentz invariant
generalization of the Vlasov-Poisson system in the gravitational case. The
asymptotic behavior of solutions and the non-linear stability of steady states
are investigated. It is shown that solutions of the Nordstr\"om-Vlasov system
with energy grater or equal to the mass satisfy a dispersion estimate in terms
of the conformal energy. When the energy is smaller than the mass, we prove
existence and non-linear (orbital) stability of a class of static solutions
(isotropic polytropes) against general perturbations. The proof of orbital
stability is based on a variational problem associated to the minimization of
the energy functional under suitable constraints.
| math-ph math.MP | the nordstromvlasov system is a relativistic lorentz invariant generalization of the vlasovpoisson system in the gravitational case the asymptotic behavior of solutions and the nonlinear stability of steady states are investigated it is shown that solutions of the nordstromvlasov system with energy grater or equal to the mass satisfy a dispersion estimate in terms of the conformal energy when the energy is smaller than the mass we prove existence and nonlinear orbital stability of a class of static solutions isotropic polytropes against general perturbations the proof of orbital stability is based on a variational problem associated to the minimization of the energy functional under suitable constraints | [['the', 'nordstromvlasov', 'system', 'is', 'a', 'relativistic', 'lorentz', 'invariant', 'generalization', 'of', 'the', 'vlasovpoisson', 'system', 'in', 'the', 'gravitational', 'case', 'the', 'asymptotic', 'behavior', 'of', 'solutions', 'and', 'the', 'nonlinear', 'stability', 'of', 'steady', 'states', 'are', 'investigated', 'it', 'is', 'shown', 'that', 'solutions', 'of', 'the', 'nordstromvlasov', 'system', 'with', 'energy', 'grater', 'or', 'equal', 'to', 'the', 'mass', 'satisfy', 'a', 'dispersion', 'estimate', 'in', 'terms', 'of', 'the', 'conformal', 'energy', 'when', 'the', 'energy', 'is', 'smaller', 'than', 'the', 'mass', 'we', 'prove', 'existence', 'and', 'nonlinear', 'orbital', 'stability', 'of', 'a', 'class', 'of', 'static', 'solutions', 'isotropic', 'polytropes', 'against', 'general', 'perturbations', 'the', 'proof', 'of', 'orbital', 'stability', 'is', 'based', 'on', 'a', 'variational', 'problem', 'associated', 'to', 'the', 'minimization', 'of', 'the', 'energy', 'functional', 'under', 'suitable', 'constraints']] | [-0.18532418754755714, 0.09065605735599573, -0.09281390793797262, 0.10858374529184317, -0.042432815354879735, -0.10098680486586296, -0.034314394243202116, 0.25320285546400073, -0.22676991462654802, -0.2749934525070888, 0.11966986763554643, -0.2651180445023303, -0.0932850034974454, 0.18014153841452427, -0.012432866949447483, 0.12237016738058543, 0.050897823031640275, 0.07288208923012651, -0.11382934378398547, -0.19163380737882107, 0.38081338702050865, 0.05496890365831413, 0.2606966934201993, 0.024603680937599286, 0.11104658357184029, -0.020959350256302026, 0.06007360685441011, 0.040403401048607984, -0.15307976726371464, 0.08980305698966028, 0.1564640312433355, 0.05939577035122674, 0.27711187369401025, -0.38317901989058506, -0.20690184646123527, 0.11047621556329278, 0.09115847643851391, 0.10603704680864401, -0.015877283825143678, -0.2611500147426993, 0.10243184117705754, -0.17223657189675098, -0.21769172894188538, -0.061725351256581976, 0.018685746235105227, 0.07313352736934386, -0.27921912979932045, 0.13855005664540068, 0.0796061612068201, 0.010526189559280986, -0.1925899787445746, -0.062341101186455423, -0.0776116872955342, 0.0121494228086755, 0.10710131439362776, -0.016300962778809918, 0.09227864818981374, -0.1299547039297462, -0.0465533347088703, 0.42019036340193366, -0.0647669133763455, -0.2807396920573599, 0.1725788843435815, -0.11314533027064688, -0.09365978718181756, 0.1337791224348552, 0.16376127655407027, 0.15274047372282817, -0.140066190928749, 0.11602045688668336, -0.03762757895022349, 0.17048912449687156, 0.07114197460073486, 0.060643272090567066, 0.17577921332932026, 0.15181202199178273, 0.13469770277481316, 0.15036614175956203, -0.042919810877273847, -0.12805183517377614, -0.3010846951730409, -0.1480021615785037, -0.17560420889750053, 0.08438006385651259, -0.09660745335645086, -0.1663171110006449, 0.4153211359461805, 0.08335463620240707, 0.11175155980986948, 0.07707504329781206, 0.265643593117173, 0.19278435019077733, 0.016783826654987795, 0.11601963335700896, 0.3139140677532919, 0.16747489014535016, 0.08160488969835294, -0.2688638486334931, 0.020481306115024776, 0.11433680229029565] |
707.3212 | Signature of chirality in scanning-probe imaging of charge flow in
graphene | We theoretically propose to directly observe the chiral nature of charge
carriers in graphene mono- and bilayers within a controlled scattering
experiment. The charge located on a capacitively coupled scanning probe
microscope (SPM) tip acts as a scattering center with controllable position on
the graphene sheet. Unambiguous features from the chirality of the particles in
single and bilayer graphene arise in the ballistic transport in the presence of
such a scattering center. To theoretically model the scattering from the smooth
potential created by the SPM tip, we develop the scattering formalism within
first-order Born approximation. We calculate the current through a device with
an SPM tip between two constrictions (quantum point contacts) as a function of
the tip position.
| cond-mat.mes-hall | we theoretically propose to directly observe the chiral nature of charge carriers in graphene mono and bilayers within a controlled scattering experiment the charge located on a capacitively coupled scanning probe microscope spm tip acts as a scattering center with controllable position on the graphene sheet unambiguous features from the chirality of the particles in single and bilayer graphene arise in the ballistic transport in the presence of such a scattering center to theoretically model the scattering from the smooth potential created by the spm tip we develop the scattering formalism within firstorder born approximation we calculate the current through a device with an spm tip between two constrictions quantum point contacts as a function of the tip position | [['we', 'theoretically', 'propose', 'to', 'directly', 'observe', 'the', 'chiral', 'nature', 'of', 'charge', 'carriers', 'in', 'graphene', 'mono', 'and', 'bilayers', 'within', 'a', 'controlled', 'scattering', 'experiment', 'the', 'charge', 'located', 'on', 'a', 'capacitively', 'coupled', 'scanning', 'probe', 'microscope', 'spm', 'tip', 'acts', 'as', 'a', 'scattering', 'center', 'with', 'controllable', 'position', 'on', 'the', 'graphene', 'sheet', 'unambiguous', 'features', 'from', 'the', 'chirality', 'of', 'the', 'particles', 'in', 'single', 'and', 'bilayer', 'graphene', 'arise', 'in', 'the', 'ballistic', 'transport', 'in', 'the', 'presence', 'of', 'such', 'a', 'scattering', 'center', 'to', 'theoretically', 'model', 'the', 'scattering', 'from', 'the', 'smooth', 'potential', 'created', 'by', 'the', 'spm', 'tip', 'we', 'develop', 'the', 'scattering', 'formalism', 'within', 'firstorder', 'born', 'approximation', 'we', 'calculate', 'the', 'current', 'through', 'a', 'device', 'with', 'an', 'spm', 'tip', 'between', 'two', 'constrictions', 'quantum', 'point', 'contacts', 'as', 'a', 'function', 'of', 'the', 'tip', 'position']] | [-0.15529307324689726, 0.14234317336419788, -0.10709618265200563, -0.0008041807019910892, 0.006386482720302434, -0.16393798806493273, 0.09744898763195682, 0.37407022743571955, -0.3059213042587918, -0.28218611469101, -0.04777488794115161, -0.3367748381022145, -0.16074656271727897, 0.13998096215366504, 0.03193801059191968, 0.000727883047040771, -0.015967018537892484, -0.03452326387886991, -0.03934052176460499, -0.10797430848812356, 0.27130710797290464, 0.006869719865606675, 0.33337553379227636, 0.09491669240665912, 0.08791281472296775, 0.10167559171330277, 0.0996524578453425, 0.017933546444166358, -0.12890839784899177, 0.0647577579767138, 0.1945460516051585, -0.12376308476575847, 0.18010750279112273, -0.5342401720646048, -0.15856593255611026, -0.034450221931984444, 0.15839960704412812, 0.1665767092382958, -0.10024408657424652, -0.3188322724680565, 0.016158915829195195, -0.11149433892642875, -0.17031299825288168, -0.0015039576526668643, -0.03617707661846105, -0.003556776254735261, -0.21245424170047045, 0.08850595831260585, -0.039939829320529426, 0.03472037575825924, -0.05180098766954068, -0.03271420778190138, -0.061349198415859785, 0.08467290224116139, -0.020837187424630803, 0.04216751159254868, 0.26530632438889445, -0.15159424125635604, -0.12226714985445142, 0.3427697993587984, -0.10728124291988231, -0.17567378783817678, 0.1727697693648897, -0.18731439481841541, 0.02939701052343457, 0.11736502666652453, 0.12992369169525864, 0.13647977023448074, -0.1927965149252104, 0.07516477413440295, -0.02853216278218046, 0.14584917080135695, 0.1146066824342085, 0.0322669380493149, 0.2954364861635601, 0.2438222388384723, 0.042506805308037944, 0.13061461372578814, -0.22924323674409866, -0.03678625694108235, -0.302229672885586, -0.1410884692961511, -0.20850348877994454, 0.06879318912490075, -0.028088521408729115, -0.20863483294242008, 0.3926276026778862, 0.1554863987756627, 0.22786193410670305, -0.08594426117493074, 0.3235961616101886, 0.117844016629686, 0.09606542140088913, -0.012765828124834459, 0.2704265748401086, 0.14985883054753937, 0.09921050212588631, -0.28042970413533863, 0.03294789543211022, 0.011897639512327038] |
707.3213 | Demonstration of Temporal Distinguishability of Three and Four Photons
with Asymmetric Beam Splitter | By using an asymmetric beam splitter, we observe the generalized
Hong-Ou-Mandel effects for three and four photons, respectively. Furthermore,
we can use this generalized Hong-Ou-Mandel interferometer to characterize
temporal distinguishability.
| quant-ph | by using an asymmetric beam splitter we observe the generalized hongoumandel effects for three and four photons respectively furthermore we can use this generalized hongoumandel interferometer to characterize temporal distinguishability | [['by', 'using', 'an', 'asymmetric', 'beam', 'splitter', 'we', 'observe', 'the', 'generalized', 'hongoumandel', 'effects', 'for', 'three', 'and', 'four', 'photons', 'respectively', 'furthermore', 'we', 'can', 'use', 'this', 'generalized', 'hongoumandel', 'interferometer', 'to', 'characterize', 'temporal', 'distinguishability']] | [-0.1464255099495252, 0.17360493716599498, -0.1464626015474399, 0.11000827120539422, 0.006105827043453852, -0.19889319532861313, 0.0027128400358681875, 0.5085863674680392, -0.23433049451559781, -0.2996586394185821, -0.05916429511271417, -0.2698574798181653, -0.15110545828938485, 0.2032190313562751, -0.06255778909350435, 0.04796419224391381, 0.030612552786866823, -0.09400045927613973, -0.06584508763626218, -0.1792917777473728, 0.3515907717247804, 0.04984872324857861, 0.30925529102484384, 0.03240815407286088, 0.1743616871846219, 0.10255332851472, -0.019189177888135116, -0.008036001647512118, -0.09607627778314054, 0.028722208614150684, 0.1808450884729003, 0.10818186891507746, 0.194987486799558, -0.41259992172320686, -0.1747784636216238, 0.1351406249217689, 0.13316825013607742, 0.14666520652050774, 0.03128638425841927, -0.3690268963575363, -0.04156187754124403, -0.18893135252098242, -0.07359967244168122, -0.07081550545990467, -0.08364011019778748, -0.0051425491770108545, -0.22997151141365368, 0.013598477405806383, 0.03806923185475171, -0.024082195417334636, 0.11800961184004942, -0.03348754160106182, 0.06077989485735694, 0.021966539261241754, -0.17261839533845583, -0.1092747865865628, 0.06344022934014598, -0.03760064946254715, -0.2611043876657883, 0.312535867591699, -0.11049957483386, -0.19312387923710048, 0.0823382418602705, -0.16998651066484552, -0.07092041869958242, 0.062006011977791785, 0.1845422666830321, 0.07812866390837978, -0.15457280940997103, -0.1392482323901883, -0.0565946903390189, 0.20406414506336054, 0.27511711077143747, 0.14981386410072445, 0.17280640229582786, 0.11575166949381431, 0.0511633255208532, 0.31114667902390164, -0.23394311753412086, -0.04913409051174919, -0.32756387582048774, -0.12899173554033042, -0.15913930910949906, 0.029147204632560413, -0.08039271722809645, -0.007979084411635995, 0.40723281310250364, 0.12012833684372405, 0.0992217575510343, -0.0027589160948991776, 0.34680528634538255, 0.14759931759908795, 0.006316038717826208, -0.03033478238309423, 0.2853929441422224, 0.18208272110205143, 0.061809360918899374, -0.2887410594771306, -0.055431258080837625, -0.027253004473944506] |
707.3214 | The quantum solvation, adiabatic versus nonadiabatic, and Markovian
versus non-Markovian nature of electron transfer rate processes | In this work, we revisit the electron transfer rate theory, with particular
interests in the distinct quantum solvation effect, and the characterizations
of adiabatic/nonadiabatic and Markovian/non-Markovian rate processes. We first
present a full account for the quantum solvation effect on the electron
transfer in Debye solvents, addressed previously in J. Theore. & Comput. Chem.
{\bf 5}, 685 (2006). Distinct reaction mechanisms, including the quantum
solvation-induced transitions from barrier-crossing to tunneling, and from
barrierless to quantum barrier-crossing rate processes, are shown in the fast
modulation or low viscosity regime. This regime is also found in favor of
nonadiabatic rate processes. We further propose to use Kubo's motional
narrowing line shape function to describe the Markovian character of the
reaction. It is found that a non-Markovian rate process is most likely to occur
in a symmetric system in the fast modulation regime, where the electron
transfer is dominant by tunneling due to the Fermi resonance.
| physics.chem-ph | in this work we revisit the electron transfer rate theory with particular interests in the distinct quantum solvation effect and the characterizations of adiabaticnonadiabatic and markoviannonmarkovian rate processes we first present a full account for the quantum solvation effect on the electron transfer in debye solvents addressed previously in j theore comput chem bf 5 685 2006 distinct reaction mechanisms including the quantum solvationinduced transitions from barriercrossing to tunneling and from barrierless to quantum barriercrossing rate processes are shown in the fast modulation or low viscosity regime this regime is also found in favor of nonadiabatic rate processes we further propose to use kubos motional narrowing line shape function to describe the markovian character of the reaction it is found that a nonmarkovian rate process is most likely to occur in a symmetric system in the fast modulation regime where the electron transfer is dominant by tunneling due to the fermi resonance | [['in', 'this', 'work', 'we', 'revisit', 'the', 'electron', 'transfer', 'rate', 'theory', 'with', 'particular', 'interests', 'in', 'the', 'distinct', 'quantum', 'solvation', 'effect', 'and', 'the', 'characterizations', 'of', 'adiabaticnonadiabatic', 'and', 'markoviannonmarkovian', 'rate', 'processes', 'we', 'first', 'present', 'a', 'full', 'account', 'for', 'the', 'quantum', 'solvation', 'effect', 'on', 'the', 'electron', 'transfer', 'in', 'debye', 'solvents', 'addressed', 'previously', 'in', 'j', 'theore', 'comput', 'chem', 'bf', '5', '685', '2006', 'distinct', 'reaction', 'mechanisms', 'including', 'the', 'quantum', 'solvationinduced', 'transitions', 'from', 'barriercrossing', 'to', 'tunneling', 'and', 'from', 'barrierless', 'to', 'quantum', 'barriercrossing', 'rate', 'processes', 'are', 'shown', 'in', 'the', 'fast', 'modulation', 'or', 'low', 'viscosity', 'regime', 'this', 'regime', 'is', 'also', 'found', 'in', 'favor', 'of', 'nonadiabatic', 'rate', 'processes', 'we', 'further', 'propose', 'to', 'use', 'kubos', 'motional', 'narrowing', 'line', 'shape', 'function', 'to', 'describe', 'the', 'markovian', 'character', 'of', 'the', 'reaction', 'it', 'is', 'found', 'that', 'a', 'nonmarkovian', 'rate', 'process', 'is', 'most', 'likely', 'to', 'occur', 'in', 'a', 'symmetric', 'system', 'in', 'the', 'fast', 'modulation', 'regime', 'where', 'the', 'electron', 'transfer', 'is', 'dominant', 'by', 'tunneling', 'due', 'to', 'the', 'fermi', 'resonance']] | [-0.10986317951309806, 0.16293865242429698, -0.051479632920042304, 0.049224357124245825, -0.002710845028050244, -0.14766101914457977, 0.08517917630650725, 0.35916772903253635, -0.27934970424044875, -0.24847592297010124, -0.01026245709663878, -0.2536222464373956, -0.14235961851198226, 0.18325554483647769, -0.02709708978732427, 0.027642206609404335, 0.024738160663206752, -0.03616370702938487, -0.013514943621121347, -0.17889159495399024, 0.2729805177760621, 0.1127749551491191, 0.2902550930151483, 0.11145367107974986, 0.07309335279123237, 0.007352435789071024, 0.026865758174099027, -0.06725946258132656, -0.1815193654676841, 0.046753820227459074, 0.2817495989551147, -0.0032119866476083797, 0.22682864577199022, -0.4244067234111329, -0.25418288270011546, 0.04223156007627646, 0.13146630823301772, 0.184303256838272, -0.032490672271233055, -0.23697628222405911, 0.017712458074092864, -0.18932059555624922, -0.05736526077923675, -0.06046398362144828, 0.0797852852071325, 0.004788251295685768, -0.27995164109393955, 0.15222491745351968, 0.08563189710179965, 0.027610769340147574, -0.05841962708005061, -0.08372939395640666, 0.025328384414315223, 0.07467994433362037, 0.03841615783652135, 0.0313528587797191, 0.16436269807629286, -0.10536438292823731, -0.13301746144735566, 0.37683714911652105, -0.07119465643074363, -0.13876236481281617, 0.22473866522622604, -0.19718946953459332, -0.08029113097426792, 0.18832429151361188, 0.14646039611039063, 0.12946919787364702, -0.16751964251821239, 0.08838433439125462, 0.05096674345433712, 0.15162559146604812, 0.0671770057377095, 0.03211638314959903, 0.1729856694396585, 0.12082061603510132, -0.004349131590376297, 0.12648291155385474, -0.13313936149856698, -0.16608377067993085, -0.24729032340149085, -0.1643172564295431, -0.17359345896945647, 0.09384191575304915, 0.0037118196241984454, -0.11951930594378306, 0.3552014066372067, 0.13763950353177884, 0.20105882065370678, -0.03959059791639447, 0.23847023306104045, 0.16413944078609347, 0.02467551292773957, 0.0815293564957877, 0.2493918022637566, 0.15674437114658454, 0.10581033163703978, -0.3143983999112, 0.07302176051773131, 0.042651734532167515] |
707.3215 | Many-Body Separability of Warm Qubits | We analyze the separability of the joint state of a collection of two-level
systems at finite temperature T. The fact that only separable states are found
in the neighborhood of their thermal equilibrium state guarantees that
decoherence will destroy any initially arranged entanglement in a finite time.
| quant-ph cond-mat.stat-mech | we analyze the separability of the joint state of a collection of twolevel systems at finite temperature t the fact that only separable states are found in the neighborhood of their thermal equilibrium state guarantees that decoherence will destroy any initially arranged entanglement in a finite time | [['we', 'analyze', 'the', 'separability', 'of', 'the', 'joint', 'state', 'of', 'a', 'collection', 'of', 'twolevel', 'systems', 'at', 'finite', 'temperature', 't', 'the', 'fact', 'that', 'only', 'separable', 'states', 'are', 'found', 'in', 'the', 'neighborhood', 'of', 'their', 'thermal', 'equilibrium', 'state', 'guarantees', 'that', 'decoherence', 'will', 'destroy', 'any', 'initially', 'arranged', 'entanglement', 'in', 'a', 'finite', 'time']] | [-0.20161522087700506, 0.23873464769109132, -0.11688581623255889, 0.03144195699628363, 0.057120768947804226, -0.1531713946345956, 0.08034389000386, 0.35386980110977556, -0.27686128206551075, -0.21271156670248254, 0.06505757916540383, -0.2952096701223165, -0.010471686604432762, 0.08626094662604179, -0.027598612010478973, 0.047763173389149476, 0.09421940801784079, 0.12179950933824195, -0.09954013470362158, -0.26315233965424145, 0.33411492744183285, 0.014247377105849855, 0.28292553190221176, 0.02664969005483262, 0.09633355578308568, -0.006876780473171396, 0.06493900946163117, 0.07347617269384656, -0.0724263957598212, 0.01595898459422739, 0.27184733823734397, 0.1350464217681834, 0.3011349323701034, -0.43677334138687623, -0.204350971161051, 0.17993272453833847, 0.13200973119943382, 0.15536481019931825, -0.01851826310752237, -0.27920491739790493, 0.054783043332714984, -0.17188648994457215, -0.1558858389233021, -0.0838098643345144, 0.03210130654909509, -0.0167519733745684, -0.21934117618551913, 0.06340789674048095, 0.13420084670701243, 0.019778396557778754, -0.06486933802234683, -0.060766301712298645, -0.0694899319651279, 0.11901695355450972, -0.08032800144258331, -0.03920987545651324, 0.14495528518083564, -0.07677992517524894, -0.09503063040369368, 0.3162986091783944, -0.06825119649317671, -0.1666347418535263, 0.21043788476232836, -0.1810418187462269, -0.10049646884262403, 0.12136368992480825, 0.14534124074147103, 0.1290732101101349, -0.1491461189542996, 0.10395831896111052, -0.0625370146429285, 0.1942347959427044, 0.040550418485431595, 0.13625301083827274, 0.18908688352700878, 0.09235403298380528, 0.10943634423645253, 0.1863060261796605, -0.03218584903020491, -0.126698626145879, -0.3275648701757668, -0.14281110859109444, -0.2601474037076882, 0.07969614415568241, -0.05801513455213701, -0.2001421634266351, 0.3839990935149662, 0.12181999827636049, 0.16816223610905892, 0.03970494836648094, 0.23427793546084394, 0.09664526155733681, -0.016416041423229777, 0.11617450225860515, 0.23792757341598578, 0.13030390314599302, 0.0695592952456246, -0.31158382091374, 0.09149479000095992, 0.0038689145659829708] |
707.3216 | Complex cobordism and algebraic topology | This is a historical survey, beginning where Atiyah and Sullivan leave off...
| math.HO math.KT | this is a historical survey beginning where atiyah and sullivan leave off | [['this', 'is', 'a', 'historical', 'survey', 'beginning', 'where', 'atiyah', 'and', 'sullivan', 'leave', 'off']] | [-0.08838956686668098, 0.17004014815514287, -0.19668924358362952, 0.17645268375054002, -0.2879997257065649, -0.17511512366278717, 0.08447848287566255, 0.28413033702721197, -0.3035739337404569, -0.23481512100746235, 0.1850982578471303, -0.3183190201719602, -0.1364162415266037, 0.1432034926644216, -0.23975891705291966, -0.20084909908473492, 0.09342720670004685, 0.056987450613329806, -0.016930332543173183, -0.3786633483444651, 0.2874493707592289, 0.18319400493055582, 0.1329851133438448, 0.043766077530259885, 0.06195566679040591, 0.009064801425362626, -0.15166589233558625, -0.08934352003658812, -0.06452434750584264, 0.0018051154135415952, 0.32861536275595427, 0.19013143718863526, 0.2773051590969165, -0.3923664678974698, -0.09959521074779332, 0.09346694328511755, 0.0991455012311538, 0.02808997469643752, -0.04586877526404957, -0.3413872681558132, 0.02646510136158516, -0.17379250330850482, -0.0749310643101732, 0.06274678682287534, 0.14679244921232262, 0.029424626011556636, -0.05496789515018463, -0.07080335317490001, 0.054044292618831, 0.19022948403532305, -0.028961725300177932, -0.046319241635501385, -0.025134715988921624, 0.1076262315036729, 0.0319651254103519, 0.13912036269903183, 0.1079428552960356, -0.0861761622557727, -0.05722515828286608, 0.3215004607724647, -0.02245018631219864, -0.026354510337114334, 0.06292088325911512, -0.15980789228342474, -0.2031506858766079, 0.12041080844937824, 0.10162471739264826, 0.1226898121337096, -0.07095808380593856, 0.20980629068314252, -0.07214561849832535, 0.07290991488844156, 0.18996563677986464, -0.11119867628440261, 0.2644454787174861, 0.18683901755139232, 0.06566879176534712, 0.09983289738496144, -0.04195676247278849, -0.13336456660181284, -0.36714428663253784, -0.10503103832403819, -0.04811956391980251, 0.27522075246088207, 0.08247811196027517, -0.1463782899081707, 0.40896178409457207, 0.1164456292365988, 0.2694303537912977, 0.06909194010465096, 0.30195549976391095, -0.0019825839747985206, -0.02812888038655122, 0.07652644498739392, 0.20533323536316553, 0.1380861549793432, 0.18511676186850914, -0.07823355437722057, -0.02057310558545093, 0.19379518801967302] |
707.3217 | Soft ideals and arithmetic mean ideals | This article investigates the soft-interior and the soft-cover of operator
ideals. These operations, and especially the first one, have been widely used
before, but making their role explicit and analyzing their interplay with the
arithmetic mean operations is essential for the study of the multiplicity of
traces (see arXiv:0707.3169v1 [math.FA]). Many classical ideals are "soft",
i.e., coincide with their soft interior or with their soft cover, and many
ideal constructions yield soft ideals. Arithmetic mean (am) operations were
proven to be intrinsic to the theory of operator ideals by the work of Dykema,
Figiel, Weiss, and Wodzicki on the structure of commutators and arithmetic mean
operations at infinity were studied in arXiv:0707.3169v1 [math.FA]. Here we
focus on the commutation relations between these operations and soft
operations. In the process we characterize the am-interior and the am-infinity
interior of an ideal.
| math.FA math.OA | this article investigates the softinterior and the softcover of operator ideals these operations and especially the first one have been widely used before but making their role explicit and analyzing their interplay with the arithmetic mean operations is essential for the study of the multiplicity of traces see arxiv07073169v1 mathfa many classical ideals are soft ie coincide with their soft interior or with their soft cover and many ideal constructions yield soft ideals arithmetic mean am operations were proven to be intrinsic to the theory of operator ideals by the work of dykema figiel weiss and wodzicki on the structure of commutators and arithmetic mean operations at infinity were studied in arxiv07073169v1 mathfa here we focus on the commutation relations between these operations and soft operations in the process we characterize the aminterior and the aminfinity interior of an ideal | [['this', 'article', 'investigates', 'the', 'softinterior', 'and', 'the', 'softcover', 'of', 'operator', 'ideals', 'these', 'operations', 'and', 'especially', 'the', 'first', 'one', 'have', 'been', 'widely', 'used', 'before', 'but', 'making', 'their', 'role', 'explicit', 'and', 'analyzing', 'their', 'interplay', 'with', 'the', 'arithmetic', 'mean', 'operations', 'is', 'essential', 'for', 'the', 'study', 'of', 'the', 'multiplicity', 'of', 'traces', 'see', 'arxiv07073169v1', 'mathfa', 'many', 'classical', 'ideals', 'are', 'soft', 'ie', 'coincide', 'with', 'their', 'soft', 'interior', 'or', 'with', 'their', 'soft', 'cover', 'and', 'many', 'ideal', 'constructions', 'yield', 'soft', 'ideals', 'arithmetic', 'mean', 'am', 'operations', 'were', 'proven', 'to', 'be', 'intrinsic', 'to', 'the', 'theory', 'of', 'operator', 'ideals', 'by', 'the', 'work', 'of', 'dykema', 'figiel', 'weiss', 'and', 'wodzicki', 'on', 'the', 'structure', 'of', 'commutators', 'and', 'arithmetic', 'mean', 'operations', 'at', 'infinity', 'were', 'studied', 'in', 'arxiv07073169v1', 'mathfa', 'here', 'we', 'focus', 'on', 'the', 'commutation', 'relations', 'between', 'these', 'operations', 'and', 'soft', 'operations', 'in', 'the', 'process', 'we', 'characterize', 'the', 'aminterior', 'and', 'the', 'aminfinity', 'interior', 'of', 'an', 'ideal']] | [-0.11758462851004745, 0.11944371078915773, -0.09778796869537068, 0.11290594995658063, -0.034265438910504736, -0.08818052209982717, 0.014570631950024377, 0.3758267501162158, -0.3247258206312027, -0.2845247332834535, 0.17995799233602292, -0.2831930863671005, -0.1432486166867117, 0.18417039573778984, -0.1094991486924873, 0.07724690925053976, 0.007197910671432813, 0.06932947203965374, -0.07574595862792598, -0.2661354946929754, 0.3542081213832177, 0.05244537886508085, 0.20693981024885066, 0.033369787327979725, 0.062090961134526876, 0.046557923634019165, -0.10550636611533938, -0.013549404963850976, -0.1374873397319957, 0.17063188146523856, 0.24595767730778015, 0.08100363134268533, 0.24081388403040668, -0.4608000927639228, -0.10835640472618656, 0.1481399175055601, 0.09282091073346911, 0.003629573282820207, 0.03610286417900136, -0.2012058188310928, 0.09616114383701373, -0.16077047587475843, -0.11322421660254434, -0.11726886593840188, 0.03244393663480878, 0.06295916371357937, -0.21812546953981465, 0.018641389402802345, 0.14475481823362685, 0.14547217721464456, -0.03965227787244927, -0.12174982957679917, -0.013598211395933672, 0.1313791317779019, 0.012476836908738026, -0.030861022521707193, 0.10755733130585954, -0.12761279510472107, -0.14872250188555983, 0.326975205042227, 0.02507162142234544, -0.15305018517775115, 0.18383421668161948, -0.1663956638296238, -0.13466009829124367, 0.06997250350261176, 0.09477746009274765, 0.12987881289726055, -0.10550747213031476, 0.16517187262091923, -0.03382891929122033, 0.08019872074601826, 0.12185787109106228, 0.08358273386041186, 0.1682364354599957, 0.07904676023042864, 0.009079879543882001, 0.15263774890228415, -0.031444147436155215, -0.06667652884843173, -0.2804483357747948, -0.17377888600997352, -0.1311314026273235, 0.04622557241021207, -0.05301898331812548, -0.17770246184534497, 0.3697143689125638, 0.1100789568641361, 0.17497582737209827, 0.04937617672538316, 0.26868492982315795, 0.1004137240074299, 0.06733780134710725, 0.08929492770176795, 0.21985034265865883, 0.2082534356025496, 0.06639754291347884, -0.17444061764205496, 0.04840371373144013, 0.13399753771135928] |
707.3218 | Satellite Luminosities in Galaxy Groups | Halo model interpretations of the luminosity dependence of galaxy clustering
assume that there is a central galaxy in every sufficiently massive halo, and
that this central galaxy is very different from all the others in the halo. The
halo model decomposition makes the remarkable prediction that the mean
luminosity of the non-central galaxies in a halo should be almost independent
of halo mass: the predicted increase is about 20% while the halo mass increases
by a factor of more than 20. In contrast, the luminosity of the central object
is predicted to increase approximately linearly with halo mass at low to
intermediate masses, and logarithmically at high masses. We show that this
weak, almost non-existent mass-dependence of the satellites is in excellent
agreement with the satellite population in group catalogs constructed by two
different collaborations. This is remarkable, because the halo model prediction
was made without ever identifying groups and clusters. The halo model also
predicts that the number of satellites in a halo is drawn from a Poisson
distribution with mean which depends on halo mass. This, combined with the weak
dependence of satellite luminosity on halo mass, suggests that the Scott
effect, such that the luminosities of very bright galaxies are merely the
statistically extreme values of a general luminosity distribution, may better
apply to the most luminous satellite galaxy in a halo than to BCGs. If galaxies
are identified with halo substructure at the present time, then central
galaxies should be about 4 times more massive than satellite galaxies of the
same luminosity, whereas the differences between the stellar M/L ratios should
be smaller. Therefore, a comparison of the weak lensing signal from central and
satellite galaxies should provide useful constraints. [abridged]
| astro-ph | halo model interpretations of the luminosity dependence of galaxy clustering assume that there is a central galaxy in every sufficiently massive halo and that this central galaxy is very different from all the others in the halo the halo model decomposition makes the remarkable prediction that the mean luminosity of the noncentral galaxies in a halo should be almost independent of halo mass the predicted increase is about 20 while the halo mass increases by a factor of more than 20 in contrast the luminosity of the central object is predicted to increase approximately linearly with halo mass at low to intermediate masses and logarithmically at high masses we show that this weak almost nonexistent massdependence of the satellites is in excellent agreement with the satellite population in group catalogs constructed by two different collaborations this is remarkable because the halo model prediction was made without ever identifying groups and clusters the halo model also predicts that the number of satellites in a halo is drawn from a poisson distribution with mean which depends on halo mass this combined with the weak dependence of satellite luminosity on halo mass suggests that the scott effect such that the luminosities of very bright galaxies are merely the statistically extreme values of a general luminosity distribution may better apply to the most luminous satellite galaxy in a halo than to bcgs if galaxies are identified with halo substructure at the present time then central galaxies should be about 4 times more massive than satellite galaxies of the same luminosity whereas the differences between the stellar ml ratios should be smaller therefore a comparison of the weak lensing signal from central and satellite galaxies should provide useful constraints abridged | [['halo', 'model', 'interpretations', 'of', 'the', 'luminosity', 'dependence', 'of', 'galaxy', 'clustering', 'assume', 'that', 'there', 'is', 'a', 'central', 'galaxy', 'in', 'every', 'sufficiently', 'massive', 'halo', 'and', 'that', 'this', 'central', 'galaxy', 'is', 'very', 'different', 'from', 'all', 'the', 'others', 'in', 'the', 'halo', 'the', 'halo', 'model', 'decomposition', 'makes', 'the', 'remarkable', 'prediction', 'that', 'the', 'mean', 'luminosity', 'of', 'the', 'noncentral', 'galaxies', 'in', 'a', 'halo', 'should', 'be', 'almost', 'independent', 'of', 'halo', 'mass', 'the', 'predicted', 'increase', 'is', 'about', '20', 'while', 'the', 'halo', 'mass', 'increases', 'by', 'a', 'factor', 'of', 'more', 'than', '20', 'in', 'contrast', 'the', 'luminosity', 'of', 'the', 'central', 'object', 'is', 'predicted', 'to', 'increase', 'approximately', 'linearly', 'with', 'halo', 'mass', 'at', 'low', 'to', 'intermediate', 'masses', 'and', 'logarithmically', 'at', 'high', 'masses', 'we', 'show', 'that', 'this', 'weak', 'almost', 'nonexistent', 'massdependence', 'of', 'the', 'satellites', 'is', 'in', 'excellent', 'agreement', 'with', 'the', 'satellite', 'population', 'in', 'group', 'catalogs', 'constructed', 'by', 'two', 'different', 'collaborations', 'this', 'is', 'remarkable', 'because', 'the', 'halo', 'model', 'prediction', 'was', 'made', 'without', 'ever', 'identifying', 'groups', 'and', 'clusters', 'the', 'halo', 'model', 'also', 'predicts', 'that', 'the', 'number', 'of', 'satellites', 'in', 'a', 'halo', 'is', 'drawn', 'from', 'a', 'poisson', 'distribution', 'with', 'mean', 'which', 'depends', 'on', 'halo', 'mass', 'this', 'combined', 'with', 'the', 'weak', 'dependence', 'of', 'satellite', 'luminosity', 'on', 'halo', 'mass', 'suggests', 'that', 'the', 'scott', 'effect', 'such', 'that', 'the', 'luminosities', 'of', 'very', 'bright', 'galaxies', 'are', 'merely', 'the', 'statistically', 'extreme', 'values', 'of', 'a', 'general', 'luminosity', 'distribution', 'may', 'better', 'apply', 'to', 'the', 'most', 'luminous', 'satellite', 'galaxy', 'in', 'a', 'halo', 'than', 'to', 'bcgs', 'if', 'galaxies', 'are', 'identified', 'with', 'halo', 'substructure', 'at', 'the', 'present', 'time', 'then', 'central', 'galaxies', 'should', 'be', 'about', '4', 'times', 'more', 'massive', 'than', 'satellite', 'galaxies', 'of', 'the', 'same', 'luminosity', 'whereas', 'the', 'differences', 'between', 'the', 'stellar', 'ml', 'ratios', 'should', 'be', 'smaller', 'therefore', 'a', 'comparison', 'of', 'the', 'weak', 'lensing', 'signal', 'from', 'central', 'and', 'satellite', 'galaxies', 'should', 'provide', 'useful', 'constraints', 'abridged']] | [-0.06549305118040362, 0.11801843882942768, -0.11457230723381304, 0.15732834645007787, -0.08996408749371768, -0.03285467358665508, 0.0021973113700943557, 0.40891321523670565, -0.11416490911792049, -0.3921485418453813, 0.025383646128976946, -0.3085517110466434, -0.003485857920819207, 0.21025652701979486, -0.0269081046183904, -0.018839282968046815, 0.05401013744178049, -0.008890635695761854, -0.08777033774500811, -0.282031670207027, 0.3330015240314727, 0.09689039947840859, 0.19577509167220183, -0.04204502637465403, 0.06702425662354615, -0.045596213977612356, -0.07279940072381706, -0.0014137658952294212, -0.10353458702996712, 0.03366985085538768, 0.24597939293047316, 0.10455738205987074, 0.24003964513540268, -0.334122094594804, -0.16575862989442325, 0.13131849854498318, 0.2167748010382383, 0.056713895444562165, -0.10752820964430851, -0.24139240671014578, 0.10462783766755214, -0.21252596949333358, -0.16062007929655936, 0.09385270647818975, 0.050772434876036415, 0.023521438279605813, -0.22185207530856133, 0.18754070611811538, 0.03081200306871579, 0.044208603914369614, -0.04524636756743125, -0.108215710420668, -0.09281982353586181, 0.06631123438771618, 0.06659942449626038, 0.07588546148975167, 0.21386229464673975, -0.15365343002863882, 0.011477031861840372, 0.4224839024245739, -0.050056890416185766, -0.038891368410795144, 0.22182087300737438, -0.2354117674655036, -0.18114928647175252, 0.07704600542375262, 0.14802511907958735, 0.050248377927039796, -0.16551613203625667, 0.01825078249543399, -0.06741021215556223, 0.2489883448078967, 0.03098113190284685, 0.02156674703519297, 0.3109544739486617, 0.11645446070388221, 0.1121467592830876, 0.049727139755135825, -0.1380100906695844, -0.030555384533822928, -0.215897236569997, -0.0731005917515671, -0.16525609480552048, 0.05535886650659928, -0.17762769921744045, -0.09424767801783195, 0.3566469546211393, 0.13573150851951682, 0.2843207040493246, 0.12725482683796271, 0.3058696407979975, 0.11036717499557294, 0.1499445626218068, 0.10618515848999091, 0.3074209464419829, 0.15979911326920906, 0.02054482837117751, -0.21433180175300917, 0.07984974460978583, -0.037150980554226984] |
707.3219 | Unitarity and real properties of the neutral meson complex | The proof of the Khalfin Theorem for neutral meson complex is analyzed. It is
shown that the unitarity of the time evolution operator for the total system
under considerations assures that the Khalfin's Theorem holds. The consequences
of this Theorem for the neutral mesons system are discussed: it is shown, eg.,
that diagonal matrix elements of the exact effective Hamiltonian for the
neutral meson complex can not be equal if CPT symmetry holds and CP symmetry is
violated. Properties of time evolution governed by a time--independent
effective Hamiltonian acting in the neutral mesons subspace of states are
considered. Using the Khalfin's Theorem it is shown that if such Hamiltonian is
time--independent then the evolution operator for the total system containing
the neutral meson complex can not be a unitary operator. It is shown
graphically for a given specific model how the Khalfin's Theorem works. It is
also shown for this model how the difference of the mentioned diagonal matrix
elements of the effective Hamiltonian varies in time.
| hep-ph | the proof of the khalfin theorem for neutral meson complex is analyzed it is shown that the unitarity of the time evolution operator for the total system under considerations assures that the khalfins theorem holds the consequences of this theorem for the neutral mesons system are discussed it is shown eg that diagonal matrix elements of the exact effective hamiltonian for the neutral meson complex can not be equal if cpt symmetry holds and cp symmetry is violated properties of time evolution governed by a timeindependent effective hamiltonian acting in the neutral mesons subspace of states are considered using the khalfins theorem it is shown that if such hamiltonian is timeindependent then the evolution operator for the total system containing the neutral meson complex can not be a unitary operator it is shown graphically for a given specific model how the khalfins theorem works it is also shown for this model how the difference of the mentioned diagonal matrix elements of the effective hamiltonian varies in time | [['the', 'proof', 'of', 'the', 'khalfin', 'theorem', 'for', 'neutral', 'meson', 'complex', 'is', 'analyzed', 'it', 'is', 'shown', 'that', 'the', 'unitarity', 'of', 'the', 'time', 'evolution', 'operator', 'for', 'the', 'total', 'system', 'under', 'considerations', 'assures', 'that', 'the', 'khalfins', 'theorem', 'holds', 'the', 'consequences', 'of', 'this', 'theorem', 'for', 'the', 'neutral', 'mesons', 'system', 'are', 'discussed', 'it', 'is', 'shown', 'eg', 'that', 'diagonal', 'matrix', 'elements', 'of', 'the', 'exact', 'effective', 'hamiltonian', 'for', 'the', 'neutral', 'meson', 'complex', 'can', 'not', 'be', 'equal', 'if', 'cpt', 'symmetry', 'holds', 'and', 'cp', 'symmetry', 'is', 'violated', 'properties', 'of', 'time', 'evolution', 'governed', 'by', 'a', 'timeindependent', 'effective', 'hamiltonian', 'acting', 'in', 'the', 'neutral', 'mesons', 'subspace', 'of', 'states', 'are', 'considered', 'using', 'the', 'khalfins', 'theorem', 'it', 'is', 'shown', 'that', 'if', 'such', 'hamiltonian', 'is', 'timeindependent', 'then', 'the', 'evolution', 'operator', 'for', 'the', 'total', 'system', 'containing', 'the', 'neutral', 'meson', 'complex', 'can', 'not', 'be', 'a', 'unitary', 'operator', 'it', 'is', 'shown', 'graphically', 'for', 'a', 'given', 'specific', 'model', 'how', 'the', 'khalfins', 'theorem', 'works', 'it', 'is', 'also', 'shown', 'for', 'this', 'model', 'how', 'the', 'difference', 'of', 'the', 'mentioned', 'diagonal', 'matrix', 'elements', 'of', 'the', 'effective', 'hamiltonian', 'varies', 'in', 'time']] | [-0.13094889148888542, 0.20249205786444827, -0.08341011325522008, 0.11600597778162333, -0.021882918865481268, -0.15883085209998987, -0.002054778560661449, 0.31353337342242993, -0.25430885137443593, -0.20091698030121402, 0.07159357387600411, -0.26207531268937057, -0.15008457324573557, 0.15307264879881266, 0.007535209391310722, 0.05876931238746616, 0.0689934040838016, 0.08735392978944688, -0.0702966344682221, -0.23139820411706533, 0.3446065847745199, 0.004368750213277331, 0.23988356969380628, 0.1246278606153729, 0.09371308267150007, 0.03671873846470551, 0.010213766467316957, -0.002293010869671306, -0.052447363420028495, 0.04716326663177182, 0.21534599483286415, 0.14340648863431132, 0.18036264298249505, -0.3771929905643899, -0.17263206505512227, 0.14278716370072997, 0.12923121236117965, 0.11366271415535739, -0.02784123610074961, -0.2882944576353013, 0.10232984552070677, -0.16215830910978782, -0.2027702095338372, -0.09702264207755466, 0.07704142329121332, -0.04308133006714909, -0.3003792106926798, 0.08757544996936298, 0.09551764613653194, 0.01727198391893466, -0.07212827997672522, -0.09743527679991335, -0.06259362808077368, 0.0886993057562964, 0.05670685496552105, 0.023877319029370646, 0.14115143228394766, -0.0638698702482897, -0.057683606131537675, 0.4317830262794912, -0.06565204102540399, -0.2692959308178125, 0.11065909277625427, -0.11993065739920486, -0.13533773630701318, 0.0824663616155001, 0.07960781078607201, 0.10430977222353532, -0.181688578414569, 0.17863787518232827, -0.1174575223735238, 0.15500667575233712, 0.04241884570613414, 0.04389952220758814, 0.1301328262361603, 0.11054491166939992, 0.08662956811677286, 0.07938034571902436, 0.043321670038614445, -0.11945167548039895, -0.3271193268324087, -0.16093325482689758, -0.19808756324468169, 0.0944867409630832, -0.07362279076745083, -0.11767745498148864, 0.40207891101519505, 0.09660352838044765, 0.1627334969921294, 0.011690300839122184, 0.2728177107031273, 0.2079074101266033, 0.07877327579012264, 0.08735902786455647, 0.2545913856164246, 0.2001673954881973, 0.10099050165070388, -0.2541908230144575, 0.04969512577542288, 0.12368255144704557] |
707.322 | First-principles modeling of BaCeO_{3}: structure and stabilization of O
vacancies by Pd-doping | We use first-principles density functional theory (DFT) calculations to
investigate the ground state structures of both BaCeO_{3} (BC) and Pd-doped BC
(BCP). The relaxed structures match closely with recent experimental scattering
studies, and also provide a local picture of how the BC perovskite lattice
accommodates Pd. Both stoichiometric and oxygen-deficient materials are
considered, and structures with an O vacancy adjacent to each Pd are predicted
to be favored. The oxidation state of Pd in each doped structure is
investigated through a structural analysis, the results of which are supported
by an orbital-resolved projected density of states. The vacancy stabilization
by Pd in BCP is explained through redox chemistry and lattice strain relief.
| cond-mat.mtrl-sci | we use firstprinciples density functional theory dft calculations to investigate the ground state structures of both baceo_3 bc and pddoped bc bcp the relaxed structures match closely with recent experimental scattering studies and also provide a local picture of how the bc perovskite lattice accommodates pd both stoichiometric and oxygendeficient materials are considered and structures with an o vacancy adjacent to each pd are predicted to be favored the oxidation state of pd in each doped structure is investigated through a structural analysis the results of which are supported by an orbitalresolved projected density of states the vacancy stabilization by pd in bcp is explained through redox chemistry and lattice strain relief | [['we', 'use', 'firstprinciples', 'density', 'functional', 'theory', 'dft', 'calculations', 'to', 'investigate', 'the', 'ground', 'state', 'structures', 'of', 'both', 'baceo_3', 'bc', 'and', 'pddoped', 'bc', 'bcp', 'the', 'relaxed', 'structures', 'match', 'closely', 'with', 'recent', 'experimental', 'scattering', 'studies', 'and', 'also', 'provide', 'a', 'local', 'picture', 'of', 'how', 'the', 'bc', 'perovskite', 'lattice', 'accommodates', 'pd', 'both', 'stoichiometric', 'and', 'oxygendeficient', 'materials', 'are', 'considered', 'and', 'structures', 'with', 'an', 'o', 'vacancy', 'adjacent', 'to', 'each', 'pd', 'are', 'predicted', 'to', 'be', 'favored', 'the', 'oxidation', 'state', 'of', 'pd', 'in', 'each', 'doped', 'structure', 'is', 'investigated', 'through', 'a', 'structural', 'analysis', 'the', 'results', 'of', 'which', 'are', 'supported', 'by', 'an', 'orbitalresolved', 'projected', 'density', 'of', 'states', 'the', 'vacancy', 'stabilization', 'by', 'pd', 'in', 'bcp', 'is', 'explained', 'through', 'redox', 'chemistry', 'and', 'lattice', 'strain', 'relief']] | [-0.1071000423970389, 0.14442105977906142, -0.04850997298123181, 0.022140506589953025, 0.02054341396669278, -0.137207775401908, 0.07700773345218417, 0.447020854012252, -0.28759828850895436, -0.2463487849344273, 0.04143727782417324, -0.2978211681417248, -0.1519257206771825, 0.07839627169242532, 0.04113974944092669, 0.016944172976723126, 0.01927199895149684, -0.036471993462885266, -0.11963380427678695, -0.22285644890665002, 0.2701859701601033, 0.06594639902080719, 0.3261911809310183, 0.07119541085295815, -0.04085444776878298, 0.021660844585648528, 0.08504912935969261, 0.07811335595072927, -0.17580939864588752, 0.15829498804675685, 0.26678211253706935, 0.008478172618459474, 0.1786638554877828, -0.5068470998457423, -0.25537389732460986, -0.05935057326480075, 0.06543419986694783, 0.1311215781680149, -0.08684260144972385, -0.2847218706004053, 0.1104299350193836, -0.12992876262387243, -0.09462624591112405, -0.08151935196590719, -0.045390350542761186, 0.025991590844618308, -0.262555124144267, 0.10644391687300585, -0.030037475468775443, 0.07540694363398198, -0.1766216909840099, -0.1739111451984295, -0.17290797594699775, 0.0444350311299786, 0.018790164261821424, 0.035683068022580804, 0.1689196151874221, -0.05658986085505636, -0.1316537847364875, 0.3888595845080442, -0.007060922933994113, -0.11923176272738692, 0.18798611565652462, -0.14350870554335415, -0.08842203878117977, 0.13325430460374904, 0.0716188192862581, 0.09621628128864744, -0.14450514280533017, 0.07676340499211119, -0.002415110958322698, 0.18647686689504767, 0.03439864866028598, 0.02792419300221645, 0.1735638272948563, 0.20067464922730988, 0.028737589574276325, 0.089436009411935, -0.09049932978342513, -0.11173580824145796, -0.2061655270669878, -0.1903930826821608, -0.1841092080838542, 0.027487248925886512, -0.047580261265220296, -0.18165524841835806, 0.34080117549915034, 0.04450522715578208, 0.20068596447356515, -0.08659708472954629, 0.17503034444588766, 0.06756156212272676, 0.04587702889012189, -0.0003561210799710573, 0.22303099903437468, 0.22348609559976304, 0.06176013110608265, -0.272457610788495, 0.13609028504511156, 0.00964793708985084] |
707.3221 | Continuous Time Random Walks (CTRWs): Simulation of continuous
trajectories | Continuous time random walks have been developed as a straightforward
generalisation of classical random walk processes. Some 10 years ago, Fogedby
introduced a continuous representation of these processes by means of a set of
Langevin equations [H. C. Fogedby, Phys. Rev. E 50 (1994)]. The present work is
devoted to a detailed discussion of Fogedby's model and presents its
application for the robust numerical generation of sample paths of continuous
time random walk processes.
| physics.data-an physics.chem-ph | continuous time random walks have been developed as a straightforward generalisation of classical random walk processes some 10 years ago fogedby introduced a continuous representation of these processes by means of a set of langevin equations h c fogedby phys rev e 50 1994 the present work is devoted to a detailed discussion of fogedbys model and presents its application for the robust numerical generation of sample paths of continuous time random walk processes | [['continuous', 'time', 'random', 'walks', 'have', 'been', 'developed', 'as', 'a', 'straightforward', 'generalisation', 'of', 'classical', 'random', 'walk', 'processes', 'some', '10', 'years', 'ago', 'fogedby', 'introduced', 'a', 'continuous', 'representation', 'of', 'these', 'processes', 'by', 'means', 'of', 'a', 'set', 'of', 'langevin', 'equations', 'h', 'c', 'fogedby', 'phys', 'rev', 'e', '50', '1994', 'the', 'present', 'work', 'is', 'devoted', 'to', 'a', 'detailed', 'discussion', 'of', 'fogedbys', 'model', 'and', 'presents', 'its', 'application', 'for', 'the', 'robust', 'numerical', 'generation', 'of', 'sample', 'paths', 'of', 'continuous', 'time', 'random', 'walk', 'processes']] | [-0.08896320697426809, 0.14063865324141275, -0.07376583621666676, -0.03120740246467135, -0.07537415715485392, -0.11304284003235295, 0.1129623197222417, 0.38699880645046353, -0.22586267244097002, -0.2625332806836551, 0.07322678069623423, -0.22542020898889487, -0.15656994076603106, 0.19768588732547637, -0.07171656006396236, 0.14348783547265298, 0.07060401968028344, -0.0372856834339319, -0.003147453351707106, -0.2801580352997276, 0.19145523968431852, 0.07579887108746129, 0.22226324831266744, -0.007463122442574568, 0.139838992775431, 0.050078975843449294, -0.13004468992667298, -0.01742599431661443, -0.15853140989816944, 0.06001170171083699, 0.15846419174381546, 0.09697355594630287, 0.35355961684819676, -0.42009811080993453, -0.2844808017835021, 0.1276021641613522, 0.0734816882365816, 0.09072593531348336, -0.04075536129235382, -0.3317194876169235, 0.040424448552764426, -0.18859919090427354, -0.15306515493233439, -0.07900446817495296, 0.1634879462998098, 0.015180598406619589, -0.2610537863375855, 0.10612672654924993, 0.11219155052217694, 0.09596483969510021, 0.06409675728785477, -0.09619665713849622, 0.03291267178572294, 0.043146954016418944, -0.021687051853571664, 0.06450062440249177, 0.10802909331707757, -0.0029255454625252268, -0.23358776801410067, 0.3848195351319204, -0.06475233296031815, -0.16154110022905793, 0.22839035177734537, -0.12618052908940844, -0.14973823089992078, 0.147440702037912, 0.20039057159717655, 0.19236975879421536, -0.23543585337121303, 0.14780830266528014, -0.05581309457767007, 0.059526190666717965, 0.04565073252642449, -0.008226600055858282, 0.12059830812225775, 0.1821775855627698, 0.020793958858941013, 0.1373995774143546, -0.024782110267961528, -0.16772564243472798, -0.30570865811740744, -0.18294210476033443, -0.1887359259269712, 0.12504149690060548, -0.05725626381664228, -0.17778975854981954, 0.42122421023422774, 0.14763096530026507, 0.2268444496193822, 0.10000800636505157, 0.20534180633684385, 0.14286180289522057, -0.04843200371817122, 0.06706250763931115, 0.11380914861908589, 0.2227376007153587, 0.13512765355473777, -0.0941415867164836, 0.05104720621684592, 0.10152543483065887] |
707.3222 | When is g_{tt} g_{rr} = -1? | The Schwarzschild metric, its Reissner-Nordstrom-de Sitter generalizations to
higher dimensions, and some further generalizations all share the feature that
g_{tt} g_{rr}=-1 in Schwarzschild-like coordinates. In this pedagogical note we
trace this feature to the condition that the Ricci tensor (and stress-energy
tensor in a solution to Einstein's equation) has vanishing radial null-null
component, i.e. is proportional to the metric in the t-r subspace. We also show
this condition holds if and only if the area-radius coordinate is an affine
parameter on the radial null geodesics.
| gr-qc hep-th | the schwarzschild metric its reissnernordstromde sitter generalizations to higher dimensions and some further generalizations all share the feature that g_tt g_rr1 in schwarzschildlike coordinates in this pedagogical note we trace this feature to the condition that the ricci tensor and stressenergy tensor in a solution to einsteins equation has vanishing radial nullnull component ie is proportional to the metric in the tr subspace we also show this condition holds if and only if the arearadius coordinate is an affine parameter on the radial null geodesics | [['the', 'schwarzschild', 'metric', 'its', 'reissnernordstromde', 'sitter', 'generalizations', 'to', 'higher', 'dimensions', 'and', 'some', 'further', 'generalizations', 'all', 'share', 'the', 'feature', 'that', 'g_tt', 'g_rr1', 'in', 'schwarzschildlike', 'coordinates', 'in', 'this', 'pedagogical', 'note', 'we', 'trace', 'this', 'feature', 'to', 'the', 'condition', 'that', 'the', 'ricci', 'tensor', 'and', 'stressenergy', 'tensor', 'in', 'a', 'solution', 'to', 'einsteins', 'equation', 'has', 'vanishing', 'radial', 'nullnull', 'component', 'ie', 'is', 'proportional', 'to', 'the', 'metric', 'in', 'the', 'tr', 'subspace', 'we', 'also', 'show', 'this', 'condition', 'holds', 'if', 'and', 'only', 'if', 'the', 'arearadius', 'coordinate', 'is', 'an', 'affine', 'parameter', 'on', 'the', 'radial', 'null', 'geodesics']] | [-0.16383269555600627, 0.08620625715359763, -0.10141104579504047, 0.05511556648222419, -0.15821855355031966, -0.14854291516600088, -0.09916206929344862, 0.3365326585092892, -0.24670593214354344, -0.14421087443562491, 0.0917114912465747, -0.30445464646133286, -0.14923486098026237, 0.09039050492130973, -0.09972948450013064, -0.0037474538472625205, 0.01311149523826316, 0.12185791270097807, -0.12026537086543006, -0.2663462801193375, 0.40223477628924664, 0.0718587182817005, 0.27035976776442977, 0.05905112628603265, 0.15436741431421114, -0.04087774906240936, 0.026122166328908254, 0.05375772263366906, -0.1508209721631872, 0.03461811862057186, 0.2246784415827798, 0.1742825788345986, 0.22360447238731598, -0.3599249155127576, -0.17747586037564492, 0.16786756278902648, 0.15444894729270822, 0.09819212787330062, -0.004809597447525621, -0.2712317170752656, 0.09945217965876163, -0.15003852196276143, -0.19996002881851468, -0.07477045703923241, 0.07001849838222067, -0.07976780654419036, -0.22202885243764503, 0.08905136924745637, 0.11891059727141899, -0.01732038592343174, -0.16004889996284397, -0.05531780547018917, -0.044612463840859984, 0.023352595389864984, 0.13696967116231376, 0.06603200718693968, 0.07851824779728693, -0.08467114474236344, -0.02372048712069435, 0.3544391088320741, -0.1113143403338091, -0.3405781058106749, 0.11525087989866734, -0.18023385414631948, -0.13477000781512333, 0.025302620138972998, 0.10259399432384055, 0.1793690957350745, -0.13783081118959845, 0.17013070212158796, -0.038209386236433475, 0.10042243628274827, 0.14496747333379018, 0.03300054093068909, 0.1738946603311758, -0.016915794351093826, 0.13510757156958184, 0.1218324202844607, -0.025287870946894622, -0.08315278588062418, -0.3898775313005206, -0.2368452574896981, -0.1757443884756261, 0.09794213836236547, -0.20640196782551357, -0.1838238029297264, 0.3665627734292121, 0.11326400547113735, 0.16456104825123302, 0.07408125453539902, 0.2746199697167391, 0.08896995777364022, 0.060596570322689204, 0.17053755592288716, 0.28184355099282193, 0.15298825354659043, 0.12959606908372648, -0.18952225223516247, -0.0388969772473155, 0.16311760262830094] |
707.3223 | The Circumstellar Structure and Excitation Effects around the Massive
Protostar Cepheus A HW 2 | We report SMA 335 GHz continuum observations with angular resolution of
~0.''3, together with VLA ammonia observations with ~1'' resolution toward Cep
A HW 2. We find that the flattened disk structure of the dust emission observed
by Patel et al. is preserved at the 0.''3 scale, showing an elongated structure
of ~$0.''6 size (450 AU) peaking on HW 2. In addition, two ammonia cores are
observed, one associated with a hot-core previously reported, and an elongated
core with a double peak separated by ~1.''3 and with signs of heating at the
inner edges of the gas facing HW 2. The double-peaked ammonia structure, as
well as the double-peaked CH3CN structure reported previously (and proposed to
be two independent hot-cores), surround both the dust emission as well as the
double-peaked SO2 disk structure found by Jimenez-Serra et al. All these
results argue against the interpretation of the elongated dust-gas structure as
due to a chance-superposition of different cores; instead, they imply that it
is physically related to the central massive object within a disk-protostar-jet
system.
| astro-ph | we report sma 335 ghz continuum observations with angular resolution of 03 together with vla ammonia observations with 1 resolution toward cep a hw 2 we find that the flattened disk structure of the dust emission observed by patel et al is preserved at the 03 scale showing an elongated structure of 06 size 450 au peaking on hw 2 in addition two ammonia cores are observed one associated with a hotcore previously reported and an elongated core with a double peak separated by 13 and with signs of heating at the inner edges of the gas facing hw 2 the doublepeaked ammonia structure as well as the doublepeaked ch3cn structure reported previously and proposed to be two independent hotcores surround both the dust emission as well as the doublepeaked so2 disk structure found by jimenezserra et al all these results argue against the interpretation of the elongated dustgas structure as due to a chancesuperposition of different cores instead they imply that it is physically related to the central massive object within a diskprotostarjet system | [['we', 'report', 'sma', '335', 'ghz', 'continuum', 'observations', 'with', 'angular', 'resolution', 'of', '03', 'together', 'with', 'vla', 'ammonia', 'observations', 'with', '1', 'resolution', 'toward', 'cep', 'a', 'hw', '2', 'we', 'find', 'that', 'the', 'flattened', 'disk', 'structure', 'of', 'the', 'dust', 'emission', 'observed', 'by', 'patel', 'et', 'al', 'is', 'preserved', 'at', 'the', '03', 'scale', 'showing', 'an', 'elongated', 'structure', 'of', '06', 'size', '450', 'au', 'peaking', 'on', 'hw', '2', 'in', 'addition', 'two', 'ammonia', 'cores', 'are', 'observed', 'one', 'associated', 'with', 'a', 'hotcore', 'previously', 'reported', 'and', 'an', 'elongated', 'core', 'with', 'a', 'double', 'peak', 'separated', 'by', '13', 'and', 'with', 'signs', 'of', 'heating', 'at', 'the', 'inner', 'edges', 'of', 'the', 'gas', 'facing', 'hw', '2', 'the', 'doublepeaked', 'ammonia', 'structure', 'as', 'well', 'as', 'the', 'doublepeaked', 'ch3cn', 'structure', 'reported', 'previously', 'and', 'proposed', 'to', 'be', 'two', 'independent', 'hotcores', 'surround', 'both', 'the', 'dust', 'emission', 'as', 'well', 'as', 'the', 'doublepeaked', 'so2', 'disk', 'structure', 'found', 'by', 'jimenezserra', 'et', 'al', 'all', 'these', 'results', 'argue', 'against', 'the', 'interpretation', 'of', 'the', 'elongated', 'dustgas', 'structure', 'as', 'due', 'to', 'a', 'chancesuperposition', 'of', 'different', 'cores', 'instead', 'they', 'imply', 'that', 'it', 'is', 'physically', 'related', 'to', 'the', 'central', 'massive', 'object', 'within', 'a', 'diskprotostarjet', 'system']] | [-0.05794951545751289, 0.09057569722301186, -0.012019244196949995, 0.01704412925517328, -0.03287923154802394, -0.11375005957561583, -0.0066665868106031275, 0.45209188676542705, -0.18908908666923033, -0.37259716116033537, 0.09301017863302878, -0.24940269530685455, -0.07340574269428064, 0.1282771113948156, 0.001696921938115306, -0.009771238779649138, 0.025053357081869017, -0.09703120161583156, -0.03154451243255331, -0.18227933629345128, 0.2777141617825106, 0.1129801762916627, 0.16970124418918064, 0.013320912013364118, 0.0618459853991779, -0.1225337365775625, -0.04149586976946969, -0.004191664036646572, -0.10666491061066787, 0.050650175605023724, 0.19940124352378172, 0.06932837882228787, 0.17609593479442057, -0.35973139346593563, -0.20098011822464237, -0.010606888447457935, 0.16804031879853523, 0.03659666084537381, -0.02411851523190802, -0.28997881962013655, 0.08625084590929294, -0.1717976425632791, -0.2127374453600823, 0.057609250432708196, 0.09534493564186912, 0.008808539476387246, -0.2045731669382399, 0.1285639814957595, 0.06516025769755746, 0.07412843835235121, -0.11499007128189966, -0.17384034257357647, -0.08690831953474479, 0.02279158825141906, -0.02659368031584707, 0.1052429386964667, 0.19193224589836005, -0.09230074224372704, -0.09614291525315166, 0.38056983674565953, -0.0784207269016991, -0.04083413335805138, 0.25585241906334, -0.20726454898725913, -0.20009256194329314, 0.22572176663847696, 0.07109769597399043, 0.08122862760612076, -0.07192757130635913, -0.02140859927681182, -0.08257498722033281, 0.2485472931913291, 0.11114098348284455, 0.06160877068793913, 0.3029909661551665, 0.10682695239716977, 0.003541979007422924, 0.14179785078192642, -0.23949946845610687, -0.06861026411296048, -0.23036955173361545, -0.11870174107484911, -0.12895721032444868, 0.058863248343835446, -0.09476394631890703, -0.10398320233373091, 0.312725177007504, 0.058274846150926506, 0.30188559921191493, 0.007569074905777013, 0.2729494469594319, 0.052987755640486134, 0.1183819858961853, 0.1538018589605828, 0.2734343936089535, 0.15303685648328685, 0.1356517948286488, -0.20129499090181893, 0.05775026410507659, -0.04344789965394122] |
707.3224 | Tight-binding modeling of charge migration in DNA devices | Long range charge transfer experiments in DNA oligomers and the subsequently
measured -- and very diverse -- transport response of DNA wires in solid state
experiments exemplifies the need for a thorough theoretical understanding of
charge migration in DNA-based natural and artificial materials. Here we present
a review of tight-binding models for DNA conduction which have the intrinsic
merit of containing more structural information than plain rate-equation models
while still retaining sufficient detail of the electronic properties. This
allows for simulations of transport properties to be more manageable with
respect to density functional theory methods or correlated first principle
algorithms.
| q-bio.GN cond-mat.soft q-bio.OT | long range charge transfer experiments in dna oligomers and the subsequently measured and very diverse transport response of dna wires in solid state experiments exemplifies the need for a thorough theoretical understanding of charge migration in dnabased natural and artificial materials here we present a review of tightbinding models for dna conduction which have the intrinsic merit of containing more structural information than plain rateequation models while still retaining sufficient detail of the electronic properties this allows for simulations of transport properties to be more manageable with respect to density functional theory methods or correlated first principle algorithms | [['long', 'range', 'charge', 'transfer', 'experiments', 'in', 'dna', 'oligomers', 'and', 'the', 'subsequently', 'measured', 'and', 'very', 'diverse', 'transport', 'response', 'of', 'dna', 'wires', 'in', 'solid', 'state', 'experiments', 'exemplifies', 'the', 'need', 'for', 'a', 'thorough', 'theoretical', 'understanding', 'of', 'charge', 'migration', 'in', 'dnabased', 'natural', 'and', 'artificial', 'materials', 'here', 'we', 'present', 'a', 'review', 'of', 'tightbinding', 'models', 'for', 'dna', 'conduction', 'which', 'have', 'the', 'intrinsic', 'merit', 'of', 'containing', 'more', 'structural', 'information', 'than', 'plain', 'rateequation', 'models', 'while', 'still', 'retaining', 'sufficient', 'detail', 'of', 'the', 'electronic', 'properties', 'this', 'allows', 'for', 'simulations', 'of', 'transport', 'properties', 'to', 'be', 'more', 'manageable', 'with', 'respect', 'to', 'density', 'functional', 'theory', 'methods', 'or', 'correlated', 'first', 'principle', 'algorithms']] | [-0.07321109378007146, 0.1100834673365616, -0.05468511762933768, 0.06519008437718017, -0.030120458437262902, -0.1534711963649155, 0.06428990928974117, 0.41661891597798284, -0.2704073382370478, -0.3226436626680471, 0.024626422486961723, -0.28171069363897727, -0.16461239747788606, 0.19386341470075125, 0.0040952503510123615, 0.09536757748764084, 0.07558267396323536, -0.04312111185008318, -0.1036739724460153, -0.19525302968425107, 0.22517505949078015, 0.09260664161915977, 0.30557937081428055, 0.08194273469342413, 0.04872427119431561, -0.009594355928426494, 0.008511787513270974, 0.033568715524612644, -0.17916073441658079, 0.18639079348614193, 0.284646716767495, 0.03910689359074648, 0.2611573431468616, -0.5463227168941984, -0.27680344032883947, 0.03622084211234992, 0.12790693834005873, 0.1727515365655192, -0.07764887622687063, -0.217490798124939, 0.07439117368942659, -0.1514588258804145, -0.07275300294312896, -0.16494603565304863, 0.03311462317146741, 0.03798435471372261, -0.21310880017818465, 0.10525702170870856, 0.0425333601769478, 0.0971606926878496, -0.08159284615634979, -0.12507361943396378, -0.02510480940988173, 0.11185465359048234, 0.029445307329297066, -0.026446231038604235, 0.17591145941607503, -0.15960389106981077, -0.10868448615834421, 0.40647014055391584, -0.028262365690927847, -0.19139982553656873, 0.21155410161484223, -0.11628983022433667, -0.11404442649372683, 0.13930459426031733, 0.1458893450718297, 0.13145841219538482, -0.21648599396516777, 0.0346397015352838, 0.010166178778768992, 0.1945253541807131, 0.016070484692154795, 0.09774002922123906, 0.24121290097032122, 0.25730887647333306, 0.012732940585808638, 0.12079187588794726, -0.06474267006661667, -0.11856696633527017, -0.21083127315707353, -0.1867688670279268, -0.17336270246388658, 0.06663847902590143, -0.045664261479663654, -0.18142582900936202, 0.4232293125051929, 0.16756321239636793, 0.14072909996350658, 0.017037996191921055, 0.26786484848113956, 0.029229318416007434, 0.057120215898493726, -0.007151508466245568, 0.17458294926695905, 0.14468271472272748, 0.1053196643027762, -0.23663861551844723, 0.10763348685577512, -0.02657732776394684] |
707.3225 | Gluon contributions to the pion mass and light cone momentum fraction | We calculate the matrix elements of the gluonic contributions to the
energy-momentum tensor for a pion of mass 600 < Mpi < 1100 MeV in quenched
lattice QCD. We find that gluons contribute (37 +/- 8 +/- 12)% of the pion's
light cone momentum. The bare matrix elements corresponding to the trace
anomaly contribution to the pion mass are also obtained. The discretizations of
the energy-momentum tensor we use have other promising applications, ranging
from calculating the origin of hadron spin to QCD thermodynamics.
| hep-lat hep-ph | we calculate the matrix elements of the gluonic contributions to the energymomentum tensor for a pion of mass 600 mpi 1100 mev in quenched lattice qcd we find that gluons contribute 37 8 12 of the pions light cone momentum the bare matrix elements corresponding to the trace anomaly contribution to the pion mass are also obtained the discretizations of the energymomentum tensor we use have other promising applications ranging from calculating the origin of hadron spin to qcd thermodynamics | [['we', 'calculate', 'the', 'matrix', 'elements', 'of', 'the', 'gluonic', 'contributions', 'to', 'the', 'energymomentum', 'tensor', 'for', 'a', 'pion', 'of', 'mass', '600', 'mpi', '1100', 'mev', 'in', 'quenched', 'lattice', 'qcd', 'we', 'find', 'that', 'gluons', 'contribute', '37', '8', '12', 'of', 'the', 'pions', 'light', 'cone', 'momentum', 'the', 'bare', 'matrix', 'elements', 'corresponding', 'to', 'the', 'trace', 'anomaly', 'contribution', 'to', 'the', 'pion', 'mass', 'are', 'also', 'obtained', 'the', 'discretizations', 'of', 'the', 'energymomentum', 'tensor', 'we', 'use', 'have', 'other', 'promising', 'applications', 'ranging', 'from', 'calculating', 'the', 'origin', 'of', 'hadron', 'spin', 'to', 'qcd', 'thermodynamics']] | [-0.06715803471161053, 0.27432838188688036, -0.09035734126737224, 0.1031500564327871, -0.053066336734991636, -0.028245854238048197, 0.012484465222223661, 0.34777844125055707, -0.20490609608241356, -0.24297076326329262, -0.007775744622631464, -0.3715170740149915, -0.010974386404268444, 0.07471505114808678, 0.10956182832596824, 0.05599425312248059, 0.03887473640497774, 0.015462049574125558, -0.15857215671567246, -0.1938758497184608, 0.3673505943850614, 0.009173952479613945, 0.21143227466527606, 0.2136246318812482, 0.09241382989566774, 0.0005452536250231787, -0.07087529300479219, -0.06838408598559909, -0.08514434927246839, 0.0842772247560788, 0.2162926289252937, 0.023461636865977197, 0.09395035703200846, -0.35411221338436005, -0.11659655819748878, 0.09409771042992361, 0.10380658638314344, 0.11808481640182436, -0.03438123664818704, -0.21059847313445063, 0.11123144855810096, -0.24365921013522893, -0.20932989785214887, -0.08891483925399371, -0.021760316781001165, -0.07895940475864335, -0.2648041633015964, 0.10460177252207359, -0.07563149835914373, 0.001961133489385247, -0.0595561012843973, -0.28186636546161026, -0.018865233214455657, 0.09344444424496032, 0.10926954300812212, 0.06152808693004772, 0.207689717708854, -0.15888355564675294, -0.11431998626503628, 0.4506494677159935, -0.07624636795371771, -0.15404714869800956, 0.11609520974161569, -0.16686476892791688, -0.112721553852316, 0.18315268623409792, 0.18218365414068102, 0.09329441658956057, -0.2016835778951645, 0.08225281294435263, -0.03290919976425357, 0.16037318658782168, 0.10290657005098183, 0.0858665224921424, 0.22651666852761992, 0.09324793047853745, -0.039073533602640965, 0.08914301255790633, -0.08363138549029828, -0.10288131298148073, -0.3401417648885399, -0.15185111883329228, -0.1812648056191392, 0.13038495540531586, -0.16544662538799457, -0.13147609492298215, 0.3775450778193772, 0.1707581867114641, 0.1907768359655165, 0.037104618747252974, 0.28665009429678323, 0.08469774830082315, 0.13926250080112368, 0.08786090158391743, 0.30453037093393504, 0.2741604041075334, 0.19610107792541384, -0.2827458958112402, -0.11724408224108629, 0.12172807293245569] |
707.3226 | Invariants of Closed 3-Manifolds via Nullhomotopic Filling Dehn Spheres | We provide a calculus for the presentation of closed 3-manifolds via
nullhomotopic filling Dehn spheres and we use it to define an invariant of
closed 3-manifolds by applying the state-sum machinery. As a potential
application of this invariant, we show how to get lower bounds for the Matveev
complexity of P2-irreducible closed 3-manifolds. We also describe an easy
algorithm for constructing a nullhomotopic filling Dehn sphere of each closed
3-manifold from any of its one-vertex triangulations.
| math.GT | we provide a calculus for the presentation of closed 3manifolds via nullhomotopic filling dehn spheres and we use it to define an invariant of closed 3manifolds by applying the statesum machinery as a potential application of this invariant we show how to get lower bounds for the matveev complexity of p2irreducible closed 3manifolds we also describe an easy algorithm for constructing a nullhomotopic filling dehn sphere of each closed 3manifold from any of its onevertex triangulations | [['we', 'provide', 'a', 'calculus', 'for', 'the', 'presentation', 'of', 'closed', '3manifolds', 'via', 'nullhomotopic', 'filling', 'dehn', 'spheres', 'and', 'we', 'use', 'it', 'to', 'define', 'an', 'invariant', 'of', 'closed', '3manifolds', 'by', 'applying', 'the', 'statesum', 'machinery', 'as', 'a', 'potential', 'application', 'of', 'this', 'invariant', 'we', 'show', 'how', 'to', 'get', 'lower', 'bounds', 'for', 'the', 'matveev', 'complexity', 'of', 'p2irreducible', 'closed', '3manifolds', 'we', 'also', 'describe', 'an', 'easy', 'algorithm', 'for', 'constructing', 'a', 'nullhomotopic', 'filling', 'dehn', 'sphere', 'of', 'each', 'closed', '3manifold', 'from', 'any', 'of', 'its', 'onevertex', 'triangulations']] | [-0.19981055618508867, 0.09587485429648568, -0.13304978504004938, 0.14873038208277553, -0.11926862793533426, -0.18054049832158184, 0.06030525643329479, 0.351106995814725, -0.26095519122961713, -0.28943533438110824, 0.09876037031828769, -0.21933225900130837, -0.2002743087589471, 0.2500578314065933, -0.16982014273832502, -0.010683093098218945, 0.06278152967876706, 0.0762152742800505, -0.11365732521210846, -0.26956192710387866, 0.38486543618828845, -0.05229529983511096, 0.13018943967702062, 0.154822852456403, 0.15336710992759386, -0.009333398422888039, 0.027322470418814766, 0.061735431430861354, -0.28003658130029707, 0.15519641828723252, 0.2610575066340205, 0.07530251338367204, 0.13672082744367225, -0.3880066073156501, -0.0963263895583192, 0.11948042778347276, 0.15428989683277905, 0.02455886401922295, -0.06931426422670484, -0.29018268517316564, 0.06296987001980214, -0.15703146254006578, -0.18844200825735338, -0.10980425690496831, 0.02822757300945293, -0.033752639005941, -0.1552059927543221, -0.06182210424058691, 0.11931432935556299, 0.1119132038254879, -0.04867810552700815, -0.09517810839277349, 0.010880310204811394, 0.21630978980714358, -0.007837253328608839, 0.08532833200756852, 0.10690168108742096, -0.07976818858878687, -0.1634063326055184, 0.3377322081084314, -0.08070001759762435, -0.323866111986143, 0.0990714303855049, -0.09994412590994646, -0.21367389607659884, 0.1952439696944662, 0.10691572663276211, 0.12895024970394411, -0.06701202104848467, 0.18051406922734858, -0.12878470131085792, 0.06351464209882052, 0.10997606704538491, -0.06614382981665824, 0.1426463817080826, 0.09669546046796695, 0.13336641026513749, 0.253564672736837, 0.013377206498070768, -0.008107764462597276, -0.33197641411894246, -0.2838290959204498, -0.13167463724293108, 0.14762853296767725, -0.12392828025067022, -0.24045029730922052, 0.35396327389600246, 0.008132994150448786, 0.16932068689187108, 0.2115212304174508, 0.30692546211464916, 0.03899284851535125, 0.048140090124338474, 0.14536531267099476, 0.0667644478074324, 0.17303639798927561, -0.06874054551467691, -0.12005757791370056, -0.06169247142602935, 0.22445814088477115] |
707.3227 | Direct and reverse log-Sobolev inequalities in $\mu$-deformed
Segal-Bargmann analysis | Both direct and reverse log-Sobolev inequalities, relating the Shannon
entropy with a $\mu$-deformed energy, are shown to hold in a family of
$\mu$-deformed Segal-Bargmann spaces. This shows that the $\mu$-deformed energy
of a state is finite if and only if its Shannon entropy is finite. The direct
inequality is a new result, while the reverse inequality has already been shown
by the authors but using different methods. Next the $\mu$-deformed energy of a
state is shown to be finite if and only if its Dirichlet form energy is finite.
This leads to both direct and reverse log-Sobolev inequalities that relate the
Shannon entropy with the Dirichlet energy. We obtain that the Dirichlet energy
of a state is finite if and only if its Shannon entropy is finite. The main
method used here is based on a study of the reproducing kernel function of
these spaces and the associated integral kernel transform.
| math-ph math.MP | both direct and reverse logsobolev inequalities relating the shannon entropy with a mudeformed energy are shown to hold in a family of mudeformed segalbargmann spaces this shows that the mudeformed energy of a state is finite if and only if its shannon entropy is finite the direct inequality is a new result while the reverse inequality has already been shown by the authors but using different methods next the mudeformed energy of a state is shown to be finite if and only if its dirichlet form energy is finite this leads to both direct and reverse logsobolev inequalities that relate the shannon entropy with the dirichlet energy we obtain that the dirichlet energy of a state is finite if and only if its shannon entropy is finite the main method used here is based on a study of the reproducing kernel function of these spaces and the associated integral kernel transform | [['both', 'direct', 'and', 'reverse', 'logsobolev', 'inequalities', 'relating', 'the', 'shannon', 'entropy', 'with', 'a', 'mudeformed', 'energy', 'are', 'shown', 'to', 'hold', 'in', 'a', 'family', 'of', 'mudeformed', 'segalbargmann', 'spaces', 'this', 'shows', 'that', 'the', 'mudeformed', 'energy', 'of', 'a', 'state', 'is', 'finite', 'if', 'and', 'only', 'if', 'its', 'shannon', 'entropy', 'is', 'finite', 'the', 'direct', 'inequality', 'is', 'a', 'new', 'result', 'while', 'the', 'reverse', 'inequality', 'has', 'already', 'been', 'shown', 'by', 'the', 'authors', 'but', 'using', 'different', 'methods', 'next', 'the', 'mudeformed', 'energy', 'of', 'a', 'state', 'is', 'shown', 'to', 'be', 'finite', 'if', 'and', 'only', 'if', 'its', 'dirichlet', 'form', 'energy', 'is', 'finite', 'this', 'leads', 'to', 'both', 'direct', 'and', 'reverse', 'logsobolev', 'inequalities', 'that', 'relate', 'the', 'shannon', 'entropy', 'with', 'the', 'dirichlet', 'energy', 'we', 'obtain', 'that', 'the', 'dirichlet', 'energy', 'of', 'a', 'state', 'is', 'finite', 'if', 'and', 'only', 'if', 'its', 'shannon', 'entropy', 'is', 'finite', 'the', 'main', 'method', 'used', 'here', 'is', 'based', 'on', 'a', 'study', 'of', 'the', 'reproducing', 'kernel', 'function', 'of', 'these', 'spaces', 'and', 'the', 'associated', 'integral', 'kernel', 'transform']] | [-0.06060243019485686, 0.13190311356293444, -0.14674943321020595, 0.11829680738360035, -0.08547304131534715, -0.14351831524577363, 0.034614486594773855, 0.32495455158911396, -0.3214063631210303, -0.17548986700122918, 0.1434139276828481, -0.2883700244190381, -0.09501404502114516, 0.2258029752071725, -0.06899586509580151, 0.07155318292041328, 0.06041372152174891, 0.1425173482433615, -0.08667053104785351, -0.24431395591144137, 0.35769832504925547, 0.030909768250209607, 0.29158235547465844, 0.1358134024375618, 0.12247774988067466, -0.02237033023690151, 0.009531874339164094, 0.014243207861120436, -0.16148992393096248, 0.13701423021520653, 0.2249973617441681, 0.12122526173131959, 0.3147675692726741, -0.36968798969952477, -0.23656110863343177, 0.19858609457864174, 0.07489283550962411, 0.035209115093499915, -0.03004389051856806, -0.2490483210576291, 0.0892108248127316, -0.1832538771486243, -0.09137901596243907, -0.08226360101869565, 0.00029585322994270073, 0.05388094507048326, -0.2809289177349269, 0.12872490483268306, 0.1027346147942844, -0.01884506387938283, -0.08884551528832006, -0.0807891527610208, -0.047744337965839156, 0.059021377311526055, 0.02708358864688518, 0.03680594707222421, 0.046069767104657613, -0.0616348962274855, -0.09325359492803252, 0.30883996540931863, -0.03663546396481083, -0.24554359246144034, 0.1598761945670711, -0.17122695575597763, -0.10571383744391878, 0.07103486299292733, 0.059807585725030366, 0.12265651544173624, -0.1414194248727714, 0.1769280818650277, -0.06562271292956658, 0.14342626763988806, 0.0652009003598317, 0.03535640492899627, 0.09872710090500629, 0.08387007697258725, 0.13115368811228614, 0.21081425763268813, -0.05306233496702776, -0.11234776827966214, -0.32252907749290105, -0.26506147537355784, -0.29093534053636355, 0.05978044777467156, -0.08238089612079168, -0.17023618827324935, 0.34022515323105584, 0.06183630197820877, 0.16442931676591863, 0.062291244914545525, 0.2635470527218075, 0.1991522548757247, 0.055483240587945216, 0.09145306845177088, 0.20500599097041106, 0.2028380695033498, 0.08434430880330207, -0.1956817156955945, 0.0765856902071873, 0.15628482631734567] |
707.3228 | 1- Brane Sources for the Lightcone Worldsheet: Q-branion - {\bar
Q}-branion Scattering to One Loop | This paper extends the study, initiated by Rozowsky and Thorn [1], of gauge
fields in interaction with Dirac fields living on separated parallel 1-branes.
In a lightcone description, replacing static point sources by 1-brane sources
allows p^+ conservation to be maintained in their presence, which simplifies
the lightcone quantization procedure. Here we calculate on-shell branion
scattering amplitudes through 1 loop in lightcone gauge, and thereby resolve a
puzzling ambiguity encountered in the off-shell calculations of [1]. We confirm
that infrared divergences cancel in properly defined scattering probabilities.
This work lays the groundwork for the incorporation of 1-brane sources in the
lightcone worldsheet formalism.
| hep-th | this paper extends the study initiated by rozowsky and thorn 1 of gauge fields in interaction with dirac fields living on separated parallel 1branes in a lightcone description replacing static point sources by 1brane sources allows p conservation to be maintained in their presence which simplifies the lightcone quantization procedure here we calculate onshell branion scattering amplitudes through 1 loop in lightcone gauge and thereby resolve a puzzling ambiguity encountered in the offshell calculations of 1 we confirm that infrared divergences cancel in properly defined scattering probabilities this work lays the groundwork for the incorporation of 1brane sources in the lightcone worldsheet formalism | [['this', 'paper', 'extends', 'the', 'study', 'initiated', 'by', 'rozowsky', 'and', 'thorn', '1', 'of', 'gauge', 'fields', 'in', 'interaction', 'with', 'dirac', 'fields', 'living', 'on', 'separated', 'parallel', '1branes', 'in', 'a', 'lightcone', 'description', 'replacing', 'static', 'point', 'sources', 'by', '1brane', 'sources', 'allows', 'p', 'conservation', 'to', 'be', 'maintained', 'in', 'their', 'presence', 'which', 'simplifies', 'the', 'lightcone', 'quantization', 'procedure', 'here', 'we', 'calculate', 'onshell', 'branion', 'scattering', 'amplitudes', 'through', '1', 'loop', 'in', 'lightcone', 'gauge', 'and', 'thereby', 'resolve', 'a', 'puzzling', 'ambiguity', 'encountered', 'in', 'the', 'offshell', 'calculations', 'of', '1', 'we', 'confirm', 'that', 'infrared', 'divergences', 'cancel', 'in', 'properly', 'defined', 'scattering', 'probabilities', 'this', 'work', 'lays', 'the', 'groundwork', 'for', 'the', 'incorporation', 'of', '1brane', 'sources', 'in', 'the', 'lightcone', 'worldsheet', 'formalism']] | [-0.14542744973761157, 0.1930260765822787, -0.09797981010713414, 0.08475261160364266, -0.059674812407762394, -0.08407900426034615, 0.06896392551510978, 0.3574474059164013, -0.15618253512965405, -0.23340228874711136, -0.019565722200900828, -0.26019225366126547, -0.1342404653163006, 0.07893647585411136, -0.035984540097963286, 0.023037258015178582, 0.006725336379353322, -0.041062030973205085, -0.0906549620866666, -0.20262231622986934, 0.3581546109133199, 0.019834514270198767, 0.2653401714210928, 0.06806663186380676, 0.08148889554956672, 0.12358394745445135, -0.11417212753611453, 0.001193250173374134, -0.07374948291965434, 0.07608102849460956, 0.25032355560631236, 0.07059782014374494, 0.16466754131982395, -0.43484223203039635, -0.2284930381449122, 0.037421993132881526, 0.22689646282050685, 0.13213706776549966, 0.015769688297273116, -0.2819496829236182, 0.038610822336255186, -0.13760625517598407, -0.19613553571980447, -0.08728290114360039, -0.028406606631024796, -0.08667695091115128, -0.20328561743429185, 0.07140514956600051, 0.025776838040317173, 0.03720551292009951, -0.05671722621613584, -0.08973956607994349, 0.002239939192876074, 0.0852046800211218, 0.09138631289733537, 0.09145756450929113, 0.11997607272282682, -0.16165041858695595, -0.15341079051551573, 0.3678840762894491, -0.034053194850190156, -0.21636517897394358, 0.08804303325493545, -0.15315228515286364, -0.18372625500128112, 0.13582752165430242, 0.11561120880365956, 0.1573663593233362, -0.21381660810142172, 0.18521446397176525, 0.030194521128364345, 0.06422402605433793, 0.15975599457491554, 0.04459244883436637, 0.23442568582500897, 0.07801003409629487, -0.034840511877287185, 0.11598229857832741, -0.06299833654581259, -0.12400808777687523, -0.4124024904095659, -0.12602761733393766, -0.11940359514133603, 0.11292300307575394, -0.06473255971436362, -0.13214033533757388, 0.3330982625895344, 0.1918638778357383, 0.1717061990433756, 0.04691165555200046, 0.2784195596936579, 0.10097806492201783, 0.10868826390508854, 0.05832103562830062, 0.2532637655362943, 0.1673219640620564, 0.0692391022563314, -0.23848807821210072, -0.08656585981667626, 0.08441726437897659] |
707.3229 | Leibniz seminorms for "Matrix algebras converge to the sphere" | In an earlier paper of mine relating vector bundles and Gromov-Hausdorff
distance for ordinary compact metric spaces, it was crucial that the Lipschitz
seminorms from the metrics satisfy a strong Leibniz property. In the present
paper, for the now non-commutative situation of matrix algebras converging to
the sphere (or to other spaces) for quantum Gromov-Hausdorff distance, we show
how to construct suitable seminorms that also satisfy the strong Leibniz
property. This is in preparation for making precise certain statements in the
literature of high-energy physics concerning "vector bundles" over matrix
algebras that "correspond" to monopole bundles over the sphere. We show that a
fairly general source of seminorms that satisfy the strong Leibniz property
consists of derivations into normed bimodules. For matrix algebras our main
technical tools are coherent states and Berezin symbols.
| math.OA hep-th math.MG | in an earlier paper of mine relating vector bundles and gromovhausdorff distance for ordinary compact metric spaces it was crucial that the lipschitz seminorms from the metrics satisfy a strong leibniz property in the present paper for the now noncommutative situation of matrix algebras converging to the sphere or to other spaces for quantum gromovhausdorff distance we show how to construct suitable seminorms that also satisfy the strong leibniz property this is in preparation for making precise certain statements in the literature of highenergy physics concerning vector bundles over matrix algebras that correspond to monopole bundles over the sphere we show that a fairly general source of seminorms that satisfy the strong leibniz property consists of derivations into normed bimodules for matrix algebras our main technical tools are coherent states and berezin symbols | [['in', 'an', 'earlier', 'paper', 'of', 'mine', 'relating', 'vector', 'bundles', 'and', 'gromovhausdorff', 'distance', 'for', 'ordinary', 'compact', 'metric', 'spaces', 'it', 'was', 'crucial', 'that', 'the', 'lipschitz', 'seminorms', 'from', 'the', 'metrics', 'satisfy', 'a', 'strong', 'leibniz', 'property', 'in', 'the', 'present', 'paper', 'for', 'the', 'now', 'noncommutative', 'situation', 'of', 'matrix', 'algebras', 'converging', 'to', 'the', 'sphere', 'or', 'to', 'other', 'spaces', 'for', 'quantum', 'gromovhausdorff', 'distance', 'we', 'show', 'how', 'to', 'construct', 'suitable', 'seminorms', 'that', 'also', 'satisfy', 'the', 'strong', 'leibniz', 'property', 'this', 'is', 'in', 'preparation', 'for', 'making', 'precise', 'certain', 'statements', 'in', 'the', 'literature', 'of', 'highenergy', 'physics', 'concerning', 'vector', 'bundles', 'over', 'matrix', 'algebras', 'that', 'correspond', 'to', 'monopole', 'bundles', 'over', 'the', 'sphere', 'we', 'show', 'that', 'a', 'fairly', 'general', 'source', 'of', 'seminorms', 'that', 'satisfy', 'the', 'strong', 'leibniz', 'property', 'consists', 'of', 'derivations', 'into', 'normed', 'bimodules', 'for', 'matrix', 'algebras', 'our', 'main', 'technical', 'tools', 'are', 'coherent', 'states', 'and', 'berezin', 'symbols']] | [-0.13427693963127868, 0.07419059170671315, -0.08493655447715096, 0.13941063791429414, -0.13567883295840338, -0.12476391018249262, -0.018740786388744005, 0.4012182034215981, -0.3389876191714372, -0.150483478252825, 0.11785263004467676, -0.2504194172648923, -0.1478704345654136, 0.2098073757663229, -0.16092810427587956, 0.019968979039642596, 0.08584893444076852, 0.0892217607680302, -0.12986718408266237, -0.25990986617026446, 0.4778574921358797, 0.0247914704250844, 0.2635199817674781, 0.05866099442390347, 0.11059269664066851, 0.018991430640164623, -0.008536652248716891, -0.005327709918995773, -0.1322759346563489, 0.13556338840337553, 0.31415207837896486, 0.10771796533280346, 0.23278434087235228, -0.3811145117335701, -0.1311587667944132, 0.18214426415489243, 0.09626181413532459, -0.013744513196100417, -0.005829241858529193, -0.2950793224512914, 0.10269947076580466, -0.1479100166693946, -0.14333355566136596, -0.11924019589831114, 0.05840923255519535, 0.026476221656272735, -0.23806522938963795, 0.010974569258208323, 0.12774645439804272, 0.06171467393300587, -0.12030256436997674, -0.08868510697537654, -0.006303040121674985, 0.1020061096292045, 0.003961743862207111, 0.03863216146889766, 0.10103062709051192, -0.03782292768749569, -0.15378304801030518, 0.34231407146312687, -0.03130198008892007, -0.2284400467725849, 0.11911519672511552, -0.17031130871798536, -0.19607473117180338, 0.0772817772988202, 0.10105030768711988, 0.13159426649738298, -0.0924222120784111, 0.1491089685237091, -0.10327975179551911, 0.085936029364628, 0.09396500205200978, 0.09422723132691563, 0.1466092239204038, 0.07809808896504399, 0.11938525094909776, 0.12041713291808921, 0.043454498800105955, -0.10422726548574444, -0.3793704875611833, -0.2141569746462138, -0.1080176115746757, 0.11810225756450284, -0.11109764069030796, -0.18962870108810975, 0.33022073243527594, 0.12512302844736137, 0.17797424867959286, 0.14057071953031577, 0.20734438720278273, 0.03523202007548898, 0.10329397296869106, 0.03014465956773637, 0.23785011911470638, 0.2707427129082914, 0.07001048662783788, -0.07927442925870139, -0.018613781566430527, 0.1967596071439662] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.