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710.3053 | Group Analysis of Variable Coefficient Diffusion--Convection Equations.
III. Conservation Laws | The notions of generating sets of conservation laws of systems of
differential equations with respect to symmetry groups and equivalence groups
are introduced and applied. This allows us to generalize essentially the
procedure of finding potential symmetries for the systems with multidimensional
spaces of conservation laws. A class of variable coefficient (1+1)-dimensional
nonlinear diffusion-convection equations of general form
$f(x)u_t=(g(x)A(u)u_x)_x+h(x)B(u)u_x$ is investigated. Using the most direct
method, we carry out two classifications of local conservation laws up to
equivalence relations generated by both usual and enhanced equivalence groups.
Equivalence with respect to $\hat G^{\sim}$ and correct choice of gauge
coefficients of equations play the major role for simple and clear formulation
of the final results. The notion of contractions of conservation laws and one
of characteristics of conservation laws are introduced and contractions of
conservation laws of diffusion-convection equations are found.
| math-ph math.MP | the notions of generating sets of conservation laws of systems of differential equations with respect to symmetry groups and equivalence groups are introduced and applied this allows us to generalize essentially the procedure of finding potential symmetries for the systems with multidimensional spaces of conservation laws a class of variable coefficient 11dimensional nonlinear diffusionconvection equations of general form fxu_tgxauu_x_xhxbuu_x is investigated using the most direct method we carry out two classifications of local conservation laws up to equivalence relations generated by both usual and enhanced equivalence groups equivalence with respect to hat gsim and correct choice of gauge coefficients of equations play the major role for simple and clear formulation of the final results the notion of contractions of conservation laws and one of characteristics of conservation laws are introduced and contractions of conservation laws of diffusionconvection equations are found | [['the', 'notions', 'of', 'generating', 'sets', 'of', 'conservation', 'laws', 'of', 'systems', 'of', 'differential', 'equations', 'with', 'respect', 'to', 'symmetry', 'groups', 'and', 'equivalence', 'groups', 'are', 'introduced', 'and', 'applied', 'this', 'allows', 'us', 'to', 'generalize', 'essentially', 'the', 'procedure', 'of', 'finding', 'potential', 'symmetries', 'for', 'the', 'systems', 'with', 'multidimensional', 'spaces', 'of', 'conservation', 'laws', 'a', 'class', 'of', 'variable', 'coefficient', '11dimensional', 'nonlinear', 'diffusionconvection', 'equations', 'of', 'general', 'form', 'fxu_tgxauu_x_xhxbuu_x', 'is', 'investigated', 'using', 'the', 'most', 'direct', 'method', 'we', 'carry', 'out', 'two', 'classifications', 'of', 'local', 'conservation', 'laws', 'up', 'to', 'equivalence', 'relations', 'generated', 'by', 'both', 'usual', 'and', 'enhanced', 'equivalence', 'groups', 'equivalence', 'with', 'respect', 'to', 'hat', 'gsim', 'and', 'correct', 'choice', 'of', 'gauge', 'coefficients', 'of', 'equations', 'play', 'the', 'major', 'role', 'for', 'simple', 'and', 'clear', 'formulation', 'of', 'the', 'final', 'results', 'the', 'notion', 'of', 'contractions', 'of', 'conservation', 'laws', 'and', 'one', 'of', 'characteristics', 'of', 'conservation', 'laws', 'are', 'introduced', 'and', 'contractions', 'of', 'conservation', 'laws', 'of', 'diffusionconvection', 'equations', 'are', 'found']] | [-0.15630574923540866, 0.10475390958932361, -0.09682361231451588, 0.055478595870746564, -0.09247615643377816, -0.1360805018904752, 0.00016484595502593688, 0.2615810565679567, -0.28508485141106316, -0.32665142309935097, 0.05241971144818568, -0.2788446320371544, -0.1259244432207197, 0.18748694088842188, -0.04756230744533241, 0.08713520860183052, 0.006474816474863993, -0.04549197439503457, -0.11534684500989638, -0.2183054993694116, 0.39484026811218687, 0.0017993417102843523, 0.3005839974619448, -0.018467572416245404, 0.19041434149590453, -0.01607158579530993, -0.11927043438024287, 0.05551437236967364, -0.1268229432636872, 0.13456246660789475, 0.20361216870203083, 0.08037919003150559, 0.2092167374411864, -0.3964054300399896, -0.16623674470133015, 0.10300709457203214, 0.09847227965115703, 0.0666588954411314, -0.025969994063156525, -0.25728185355796346, 0.08966229202425373, -0.16667330948236797, -0.19256492015390125, -0.12348504385777882, 0.040699918208909884, 0.07089737006463111, -0.25623712712965374, 0.12689438388749424, 0.11084759967135531, 0.06728526228772742, -0.1088462012508119, -0.05987032641174405, -0.07888974598109988, 0.13036018617318146, 0.07917680482080738, -0.0801845652749762, 0.09007125712981048, -0.12263514135265723, -0.14943112406014863, 0.4572750727246915, -0.007092433356280838, -0.2750462226586283, 0.18878392851079948, -0.11065521166393799, -0.17258956260047853, 0.09350397840275296, 0.14170736711738366, 0.12992685316463135, -0.16453911857014256, 0.09382504868096606, -0.030346923726860302, 0.0826477370989908, 0.06080792273860425, 0.024274599156758215, 0.14189030879642814, 0.05600837405571448, 0.08442287826578, 0.09388837864722259, 0.059462067724338596, -0.1674182366326152, -0.37698681905333487, -0.16948453751392661, -0.07749904123401004, 0.0675774728282704, -0.10367683054636083, -0.1390272502063973, 0.35950622252421455, 0.11318490719422698, 0.12212898245946105, 0.09308681263521845, 0.1833915350326736, 0.1962120555806905, 0.087820900607455, 0.01969409032857844, 0.2003785435908607, 0.2742049572606837, 0.07268347076439698, -0.21257802771870046, -0.004093834667998765, 0.1683043835352042] |
710.3054 | Spatial Relationship between Solar Flares and Coronal Mass Ejections | We report on the spatial relationship between solar flares and coronal mass
ejections (CMEs) observed during 1996-2005 inclusive. We identified 496
flare-CME pairs considering limb flares (distance from central meridian > 45
deg) with soft X-ray flare size > C3 level. The CMEs were detected by the Large
Angle and Spectrometric Coronagraph (LASCO) on board the Solar and Heliospheric
Observatory (SOHO). We investigated the flare positions with respect to the CME
span for the events with X-class, M-class, and C-class flares separately. It is
found that the most frequent flare site is at the center of the CME span for
all the three classes, but that frequency is different for the different
classes. Many X-class flares often lie at the center of the associated CME,
while C-class flares widely spread to the outside of the CME span. The former
is different from previous studies, which concluded that no preferred flare
site exists. We compared our result with the previous studies and conclude that
the long-term LASCO observation enabled us to obtain the detailed spatial
relation between flares and CMEs. Our finding calls for a closer flare-CME
relationship and supports eruption models typified by the CSHKP magnetic
reconnection model.
| astro-ph | we report on the spatial relationship between solar flares and coronal mass ejections cmes observed during 19962005 inclusive we identified 496 flarecme pairs considering limb flares distance from central meridian 45 deg with soft xray flare size c3 level the cmes were detected by the large angle and spectrometric coronagraph lasco on board the solar and heliospheric observatory soho we investigated the flare positions with respect to the cme span for the events with xclass mclass and cclass flares separately it is found that the most frequent flare site is at the center of the cme span for all the three classes but that frequency is different for the different classes many xclass flares often lie at the center of the associated cme while cclass flares widely spread to the outside of the cme span the former is different from previous studies which concluded that no preferred flare site exists we compared our result with the previous studies and conclude that the longterm lasco observation enabled us to obtain the detailed spatial relation between flares and cmes our finding calls for a closer flarecme relationship and supports eruption models typified by the cshkp magnetic reconnection model | [['we', 'report', 'on', 'the', 'spatial', 'relationship', 'between', 'solar', 'flares', 'and', 'coronal', 'mass', 'ejections', 'cmes', 'observed', 'during', '19962005', 'inclusive', 'we', 'identified', '496', 'flarecme', 'pairs', 'considering', 'limb', 'flares', 'distance', 'from', 'central', 'meridian', '45', 'deg', 'with', 'soft', 'xray', 'flare', 'size', 'c3', 'level', 'the', 'cmes', 'were', 'detected', 'by', 'the', 'large', 'angle', 'and', 'spectrometric', 'coronagraph', 'lasco', 'on', 'board', 'the', 'solar', 'and', 'heliospheric', 'observatory', 'soho', 'we', 'investigated', 'the', 'flare', 'positions', 'with', 'respect', 'to', 'the', 'cme', 'span', 'for', 'the', 'events', 'with', 'xclass', 'mclass', 'and', 'cclass', 'flares', 'separately', 'it', 'is', 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710.3055 | A Vector Supersymmetry Killing IR Divergences in Non-Commutative Gauge
Theories | This is a report on the joint work with Francois Gieres, Stefan Hohenegger,
Olivier Piguet and Manfred Schweda. We consider a non-commutative U(1) gauge
theory with an extension which was originally proposed by A. A. Slavnov in
order to get rid of UV/IR mixing problems. Here we show, that the improved IR
behaviour of this model is mainly due to the appearence of a linear vector
supersymmetry.
| hep-th | this is a report on the joint work with francois gieres stefan hohenegger olivier piguet and manfred schweda we consider a noncommutative u1 gauge theory with an extension which was originally proposed by a a slavnov in order to get rid of uvir mixing problems here we show that the improved ir behaviour of this model is mainly due to the appearence of a linear vector supersymmetry | [['this', 'is', 'a', 'report', 'on', 'the', 'joint', 'work', 'with', 'francois', 'gieres', 'stefan', 'hohenegger', 'olivier', 'piguet', 'and', 'manfred', 'schweda', 'we', 'consider', 'a', 'noncommutative', 'u1', 'gauge', 'theory', 'with', 'an', 'extension', 'which', 'was', 'originally', 'proposed', 'by', 'a', 'a', 'slavnov', 'in', 'order', 'to', 'get', 'rid', 'of', 'uvir', 'mixing', 'problems', 'here', 'we', 'show', 'that', 'the', 'improved', 'ir', 'behaviour', 'of', 'this', 'model', 'is', 'mainly', 'due', 'to', 'the', 'appearence', 'of', 'a', 'linear', 'vector', 'supersymmetry']] | [-0.0936079886960215, 0.1269382381599371, -0.10553381798126793, 0.056389151548501104, -0.12262597194057889, -0.10291456213599304, 0.02488927129707008, 0.3037520640355069, -0.22516178391379071, -0.26494182529859245, 0.12747335509084223, -0.24706059748132247, -0.19432760673225857, 0.09647386928190826, -0.14648170402870164, 0.014045371121028438, -0.019871180047630332, 0.005026776445447467, -0.08429976921252091, -0.2588239355645783, 0.3227800715758349, 0.06659665329789277, 0.22914826676202438, 0.07658940326655284, 0.13239921531931031, 0.016564318757446017, -0.030095255744527094, -0.012589684440172277, -0.1336954912518422, 0.14215302166849142, 0.18432077462784946, 0.04218748278071871, 0.24041099278838374, -0.35105672395729925, -0.23614291090052575, 0.09249855837697396, 0.09335170635313261, 0.1175128052909713, -0.04781049372513735, -0.2980780341895297, 0.07286964496961446, -0.19265763231669553, -0.1085091182776523, -0.04921178218501154, -0.02017363515915349, -0.07729109085630625, -0.2964944692066638, 0.057254817802459, 0.08949825871968642, 0.05422816614736803, -0.034223612667119596, -0.05737762267381186, 0.02129496118868701, -0.0078206151156337, 0.10175082267596736, 0.07224962156760739, 0.02137085383583326, -0.12968444210855523, -0.15162956390122417, 0.3679353437619284, -0.09430262724163185, -0.20044215653615538, 0.1552540383345331, -0.08890747870918858, -0.16864391273338697, 0.06448755059682298, 0.12218505052078399, 0.14466187323705526, -0.15517838233790826, 0.1934926371968686, -0.12143279089650605, 0.16534340043290285, 0.05792950424074661, -0.013697919770493172, 0.15151353055989603, 0.1425262335105799, 0.051596914723631926, 0.16520265598228434, -0.02199603827102692, -0.08090726844966412, -0.30789593773079105, -0.17023718429845758, -0.120463687125266, 0.10209334172759554, -0.01906690368900854, -0.14980524439306464, 0.3762882497958344, 0.147672479339235, 0.21667112941941014, 0.05169013717568305, 0.23541964363539591, 0.12777048503630795, 0.046644893154734746, 0.03006436392024625, 0.231758765221457, 0.15280476073166938, 0.12560988135373918, -0.24900023291411344, -0.02763184224750148, 0.14923237838956993] |
710.3056 | How we discovered the nonet of light scalar mesons | As has been confirmed meanwhile by lattice-QCD calculations (see e.g.
hep-lat/0702023), the confinement spectrum of non-exotic quark-antiquark
systems has its ground state for scalar mesons well above 1 GeV in the
Resonance Spectrum Expansion (RSE). For instance, in the S-wave Kaon-pion RSE
amplitude, a broad resonance was predicted slightly above 1.4 GeV
[hep-ex/0106077], which is confirmed by experiment as the K*0(1430). However, a
complete nonet of light scalar mesons was predicted (Zeit.Phys.C30,615
[http://www-spires.slac.stanford.edu/spires/find/hep?key=1573454]) as well,
when a model strongly related to the RSE and initially developed to describe
the heavy quarkonia resonance spectra (Phys.Rev.D21,772
[http://www-spires.slac.stanford.edu/spires/find/hep?key=363162]) was applied
in the light-quark sector. Thus, it was found that the light scalar-meson nonet
constitutes part of the ordinary meson spectrum, albeit represented by
"extraordinary" [hep-ph/0701038] poles [hep-ex/0106077].
Similar resonances and bound states appear in the charmed sector
[hep-ph/0305035], and are predicted in the B-meson spectrum [hep-ph/0312078,
hep-ph/0406242].
A recent work [hep-ph/0703286] confirmed the presence of light scalar-meson
poles in the RSE amplitude for S-wave and P-wave pion-pion and Kaon-pion
contributions to three-body decay processes measured by the BES, E791 and FOCUS
collaborations.
| hep-ph | as has been confirmed meanwhile by latticeqcd calculations see eg heplat0702023 the confinement spectrum of nonexotic quarkantiquark systems has its ground state for scalar mesons well above 1 gev in the resonance spectrum expansion rse for instance in the swave kaonpion rse amplitude a broad resonance was predicted slightly above 14 gev hepex0106077 which is confirmed by experiment as the k01430 however a complete nonet of light scalar mesons was predicted zeitphysc30615 httpwwwspiresslacstanfordeduspiresfindhepkey1573454 as well when a model strongly related to the rse and initially developed to describe the heavy quarkonia resonance spectra physrevd21772 httpwwwspiresslacstanfordeduspiresfindhepkey363162 was applied in the lightquark sector thus it was found that the light scalarmeson nonet constitutes part of the ordinary meson spectrum albeit represented by extraordinary hepph0701038 poles hepex0106077 similar resonances and bound states appear in the charmed sector hepph0305035 and are predicted in the bmeson spectrum hepph0312078 hepph0406242 a recent work hepph0703286 confirmed the presence of light scalarmeson poles in the rse amplitude for swave and pwave pionpion and kaonpion contributions to threebody decay processes measured by the bes e791 and focus collaborations | [['as', 'has', 'been', 'confirmed', 'meanwhile', 'by', 'latticeqcd', 'calculations', 'see', 'eg', 'heplat0702023', 'the', 'confinement', 'spectrum', 'of', 'nonexotic', 'quarkantiquark', 'systems', 'has', 'its', 'ground', 'state', 'for', 'scalar', 'mesons', 'well', 'above', '1', 'gev', 'in', 'the', 'resonance', 'spectrum', 'expansion', 'rse', 'for', 'instance', 'in', 'the', 'swave', 'kaonpion', 'rse', 'amplitude', 'a', 'broad', 'resonance', 'was', 'predicted', 'slightly', 'above', '14', 'gev', 'hepex0106077', 'which', 'is', 'confirmed', 'by', 'experiment', 'as', 'the', 'k01430', 'however', 'a', 'complete', 'nonet', 'of', 'light', 'scalar', 'mesons', 'was', 'predicted', 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710.3057 | A linear moose model with pairs of degenerate gauge boson triplets | The possibility of the existence of a strongly interacting electroweak
symmetry breaking sector, as opposed to the weakly interacting light Higgs of
the Standard Model, is not yet ruled out by experiments. In this paper we make
an extensive study of a deconstructed model (or ``moose'' model) providing a
possible effective description of such a strong symmetry breaking sector, and
show its compatibility with experimental data for a wide portion of the model
parameters space. The model is a direct generalization of the previously
proposed D-BESS model.
| hep-ph | the possibility of the existence of a strongly interacting electroweak symmetry breaking sector as opposed to the weakly interacting light higgs of the standard model is not yet ruled out by experiments in this paper we make an extensive study of a deconstructed model or moose model providing a possible effective description of such a strong symmetry breaking sector and show its compatibility with experimental data for a wide portion of the model parameters space the model is a direct generalization of the previously proposed dbess model | [['the', 'possibility', 'of', 'the', 'existence', 'of', 'a', 'strongly', 'interacting', 'electroweak', 'symmetry', 'breaking', 'sector', 'as', 'opposed', 'to', 'the', 'weakly', 'interacting', 'light', 'higgs', 'of', 'the', 'standard', 'model', 'is', 'not', 'yet', 'ruled', 'out', 'by', 'experiments', 'in', 'this', 'paper', 'we', 'make', 'an', 'extensive', 'study', 'of', 'a', 'deconstructed', 'model', 'or', 'moose', 'model', 'providing', 'a', 'possible', 'effective', 'description', 'of', 'such', 'a', 'strong', 'symmetry', 'breaking', 'sector', 'and', 'show', 'its', 'compatibility', 'with', 'experimental', 'data', 'for', 'a', 'wide', 'portion', 'of', 'the', 'model', 'parameters', 'space', 'the', 'model', 'is', 'a', 'direct', 'generalization', 'of', 'the', 'previously', 'proposed', 'dbess', 'model']] | [-0.12338321109648881, 0.12645500749068708, -0.06975615499974337, 0.07461862749728743, -0.10353626973580482, -0.1443224726298954, 0.06568114254975604, 0.3200922445718979, -0.25084273983876026, -0.3156630420884074, 0.085522141877486, -0.2520474010623645, -0.1429934366200076, 0.1414717346521874, 0.04101149603009744, 0.046580530420828305, 0.04664083329830752, 0.03502038160885879, -0.051053740550509416, -0.2074270850713473, 0.2916505289545586, 0.07610615771155545, 0.2717252967169855, 0.08344560813396996, 0.09431139199566746, 0.004144764294154769, -0.0006597721895073043, -0.016737219309339538, -0.0881899474080392, 0.11152803835589005, 0.1289485750265073, 0.08571863687748826, 0.18516659998703142, -0.3734658132198938, -0.2712691689538228, 0.1530046172976104, 0.11768457843640516, 0.13510283085972416, -0.07950409408252643, -0.3227701826930739, 0.042396103795401235, -0.23033480616936156, -0.17491902413149907, -0.09841324341331803, -0.06826798402877568, -0.08798342112852477, -0.3024161783653463, 0.06276738296667667, 0.0524569281301093, 0.06649626300993056, -0.0390416772854731, -0.02510293629453626, -0.06581606408364551, 0.03947423836270477, 0.09936263720602403, 0.020010287517432643, 0.07842241104984612, -0.212662938557197, -0.12744456677979163, 0.45270821086109375, -0.08725435654957626, -0.2008708977373317, 0.21790930368060377, -0.07884086145976082, -0.13580619140939656, 0.09169350664109685, 0.15274143082544553, 0.11152193866410227, -0.1521553705056566, 0.15314203071567706, -0.14197188820744064, 0.19118764374924954, -0.048516051489101764, 0.012906063212688232, 0.2723177527618963, 0.2592173359345991, 0.028756030477843312, 0.13618331032177045, -0.025345048888824707, -0.12271691568068575, -0.4020264517126042, -0.14322984853196283, -0.1200320106811908, 0.01560757435106288, -0.04644691828603797, -0.1537754007907541, 0.43885042349439723, 0.15903446777604607, 0.2410141578225722, 0.028947075347004587, 0.28687655660432093, 0.05370498663978651, 0.0899601369327324, -0.019718150315849586, 0.2820377896301622, 0.09081556656408708, 0.03527167884004844, -0.20377632696316902, 0.015086874132975936, 0.0406295481289542] |
710.3058 | Taxonomy and clustering in collaborative systems: the case of the
on-line encyclopedia Wikipedia | In this paper we investigate the nature and structure of the relation between
imposed classifications and real clustering in a particular case of a
scale-free network given by the on-line encyclopedia Wikipedia. We find a
statistical similarity in the distributions of community sizes both by using
the top-down approach of the categories division present in the archive and in
the bottom-up procedure of community detection given by an algorithm based on
the spectral properties of the graph. Regardless the statistically similar
behaviour the two methods provide a rather different division of the articles,
thereby signaling that the nature and presence of power laws is a general
feature for these systems and cannot be used as a benchmark to evaluate the
suitability of a clustering method.
| physics.soc-ph | in this paper we investigate the nature and structure of the relation between imposed classifications and real clustering in a particular case of a scalefree network given by the online encyclopedia wikipedia we find a statistical similarity in the distributions of community sizes both by using the topdown approach of the categories division present in the archive and in the bottomup procedure of community detection given by an algorithm based on the spectral properties of the graph regardless the statistically similar behaviour the two methods provide a rather different division of the articles thereby signaling that the nature and presence of power laws is a general feature for these systems and cannot be used as a benchmark to evaluate the suitability of a clustering method | [['in', 'this', 'paper', 'we', 'investigate', 'the', 'nature', 'and', 'structure', 'of', 'the', 'relation', 'between', 'imposed', 'classifications', 'and', 'real', 'clustering', 'in', 'a', 'particular', 'case', 'of', 'a', 'scalefree', 'network', 'given', 'by', 'the', 'online', 'encyclopedia', 'wikipedia', 'we', 'find', 'a', 'statistical', 'similarity', 'in', 'the', 'distributions', 'of', 'community', 'sizes', 'both', 'by', 'using', 'the', 'topdown', 'approach', 'of', 'the', 'categories', 'division', 'present', 'in', 'the', 'archive', 'and', 'in', 'the', 'bottomup', 'procedure', 'of', 'community', 'detection', 'given', 'by', 'an', 'algorithm', 'based', 'on', 'the', 'spectral', 'properties', 'of', 'the', 'graph', 'regardless', 'the', 'statistically', 'similar', 'behaviour', 'the', 'two', 'methods', 'provide', 'a', 'rather', 'different', 'division', 'of', 'the', 'articles', 'thereby', 'signaling', 'that', 'the', 'nature', 'and', 'presence', 'of', 'power', 'laws', 'is', 'a', 'general', 'feature', 'for', 'these', 'systems', 'and', 'can', 'not', 'be', 'used', 'as', 'a', 'benchmark', 'to', 'evaluate', 'the', 'suitability', 'of', 'a', 'clustering', 'method']] | [-0.08896524037071873, 0.022082138500875786, -0.11878738346295284, 0.053347192778592074, -0.056875441615129745, -0.07605381448945356, 0.06325985364050471, 0.37827563948101467, -0.2602108735886831, -0.3327517036019662, 0.08988721276511483, -0.2400582888060146, -0.2022080803511753, 0.17378209952619814, -0.03911937143845809, 0.02013656779355, 0.058382432929994094, 0.044630240070835006, -0.04446370574268734, -0.2409311936946959, 0.3651831445417234, 0.07718266975060696, 0.3330892819009485, 0.028051262026623128, 0.059781821862247495, -0.0029845318927000913, -0.0883917645569743, 0.05354644205432296, -0.09956405901319822, 0.17382542042815613, 0.2457634278532443, 0.19246238777931365, 0.28593893654991887, -0.3669568413336362, -0.19453017658088356, 0.11289959354141342, 0.1384725763364547, 0.09122521919198334, -0.051823655676488424, -0.28478552098201204, 0.0989625078278579, -0.17459004073743783, -0.05269335046233166, -0.057771321326967266, 0.02118198759114695, 0.04143756171614523, -0.23683413494579744, 0.07228880778827246, 0.0670400590354961, 0.07861481008992072, -0.06299634002119539, -0.07460691091246045, 0.013106919972906037, 0.17100835497498454, 0.0007341334638777115, -0.036303301031390824, 0.08623483875352475, -0.15832824281749217, -0.1735599890114769, 0.41817975623000947, -0.04827934102199617, -0.20423907859043944, 0.2106026058967155, -0.07973343804700389, -0.15675640326466353, 0.07158939200379545, 0.20402309332515986, 0.12341506201182566, -0.17215354446486186, 0.04601648608767723, -0.050705199359014394, 0.171836023041535, 0.041417338663623446, 0.010420218779472634, 0.2007837459104993, 0.1925292921101024, 0.027685903175364412, 0.1543641900782296, -0.08661666834202136, -0.06665352456242082, -0.26055827523980823, -0.13157664829983362, -0.20026456690319475, -0.011942303190557545, -0.12731119755242992, -0.1731927319548078, 0.4505437804046013, 0.16219339906681507, 0.22420936215868487, 0.06831250245690286, 0.2835614513014517, 0.06986006931678969, 0.04854436448035163, 0.06795727145407231, 0.1998851738707532, 0.08543120642813544, 0.1199887603011337, -0.19077449175898756, 0.08327172145742687, 0.044395613142923035] |
710.3059 | High Mass X-ray Binaries and Recent Star Formation History of the Small
Magellanic Cloud | We study the relation between high-mass X-ray binary (HMXB) population and
recent star formation history (SFH) for the Small Magellanic Cloud (SMC). Using
archival optical SMC observations, we have approximated the color-magnitude
diagrams of the stellar population by model stellar populations and, in this
way, reconstructed the spatially resolved SFH of the galaxy over the past 100
Myr.We analyze the errors and stability of this method for determining the
recent SFH and show that uncertainties in the models of massive stars at late
evolutionary stages are the main factor that limits its accuracy. By combining
the SFH with the spatial distribution of HMXBs obtained from XMM-Newton
observations, we have derived the dependence of the HMXB number on the time
elapsed since the star formation event. The number of young systems with ages
10 Myr is shown to be smaller than the prediction based on the type-II
supernova rate. The HMXB number reaches its maximum ~20-50 Myr after the star
formation event. This may be attributable, at least partly, to a low luminosity
threshold in the population of X-ray sources studied, Lmin~1e+34 erg/s. Be/X
systems make a dominant contribution to this population, while the contribution
from HMXBs with black holes is relatively small.
| astro-ph | we study the relation between highmass xray binary hmxb population and recent star formation history sfh for the small magellanic cloud smc using archival optical smc observations we have approximated the colormagnitude diagrams of the stellar population by model stellar populations and in this way reconstructed the spatially resolved sfh of the galaxy over the past 100 myrwe analyze the errors and stability of this method for determining the recent sfh and show that uncertainties in the models of massive stars at late evolutionary stages are the main factor that limits its accuracy by combining the sfh with the spatial distribution of hmxbs obtained from xmmnewton observations we have derived the dependence of the hmxb number on the time elapsed since the star formation event the number of young systems with ages 10 myr is shown to be smaller than the prediction based on the typeii supernova rate the hmxb number reaches its maximum 2050 myr after the star formation event this may be attributable at least partly to a low luminosity threshold in the population of xray sources studied lmin1e34 ergs bex systems make a dominant contribution to this population while the contribution from hmxbs with black holes is relatively small | [['we', 'study', 'the', 'relation', 'between', 'highmass', 'xray', 'binary', 'hmxb', 'population', 'and', 'recent', 'star', 'formation', 'history', 'sfh', 'for', 'the', 'small', 'magellanic', 'cloud', 'smc', 'using', 'archival', 'optical', 'smc', 'observations', 'we', 'have', 'approximated', 'the', 'colormagnitude', 'diagrams', 'of', 'the', 'stellar', 'population', 'by', 'model', 'stellar', 'populations', 'and', 'in', 'this', 'way', 'reconstructed', 'the', 'spatially', 'resolved', 'sfh', 'of', 'the', 'galaxy', 'over', 'the', 'past', '100', 'myrwe', 'analyze', 'the', 'errors', 'and', 'stability', 'of', 'this', 'method', 'for', 'determining', 'the', 'recent', 'sfh', 'and', 'show', 'that', 'uncertainties', 'in', 'the', 'models', 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710.306 | A momentum Space Analysis of the Triple Pomeron Vertex in pQCD | We study properties of the momentum space Triple Pomeron Vertex in
perturbative QCD. Particular attention is given to the collinear limit where
transverse momenta on one side of the vertex are much larger than on the other
side. We also comment on the kernels in nonlinear evolution equations.
| hep-ph hep-th | we study properties of the momentum space triple pomeron vertex in perturbative qcd particular attention is given to the collinear limit where transverse momenta on one side of the vertex are much larger than on the other side we also comment on the kernels in nonlinear evolution equations | [['we', 'study', 'properties', 'of', 'the', 'momentum', 'space', 'triple', 'pomeron', 'vertex', 'in', 'perturbative', 'qcd', 'particular', 'attention', 'is', 'given', 'to', 'the', 'collinear', 'limit', 'where', 'transverse', 'momenta', 'on', 'one', 'side', 'of', 'the', 'vertex', 'are', 'much', 'larger', 'than', 'on', 'the', 'other', 'side', 'we', 'also', 'comment', 'on', 'the', 'kernels', 'in', 'nonlinear', 'evolution', 'equations']] | [-0.12710224555727714, 0.14736290648579597, -0.0840596458001528, 0.10244111468152066, -0.1713683595395802, -0.0869557010785987, -0.01584831632984181, 0.38325684463294846, -0.1972144910444816, -0.16917781655987105, 0.05298173190385569, -0.36364865821087733, -0.05838271889660973, 0.16649195326802632, 0.009079023177037016, 0.03234420947652931, 0.07223584421444684, 0.10480292851570994, -0.10295413771139768, -0.23167892628892636, 0.41538216546177864, 0.005127923873563607, 0.21027022012276575, 0.111881884202982, 0.0826585794178148, 0.0874883019181046, -0.02350704950125267, 0.0009829962600633735, -0.1735424535193791, 0.05458064336562529, 0.18207066357232785, -0.018326831292749073, 0.20551761608900657, -0.4090113832692926, -0.1430605862600108, 0.05689960124436766, 0.13450421001956178, 0.10760724385424207, 0.0511151381288073, -0.20827498335468894, 0.059681228963502995, -0.1727993213571608, -0.11246407573344186, -0.05088920165629437, 0.004010477277915925, -0.021692699354995664, -0.22383755045787743, 0.02192104649960432, 0.05595767385481546, -0.015579943060098836, 0.025541697948938236, -0.17684767922522346, -0.09830704509901504, 0.0440091045650964, 0.07172316748377246, 0.08698768951095796, 0.10153623361838982, -0.23050016155078387, -0.15098130986249694, 0.3667181427590549, -0.008884051437841359, -0.24738593708510356, 0.15503317805511566, -0.2675604016694706, -0.18292990089200126, 0.09677219651833487, 0.20862891212649023, 0.16735501288591573, -0.12044842578082655, 0.14398524182615802, -0.023894629664331053, 0.12362409129855223, 0.09686427240376361, 0.12004932947456837, 0.16700772180532417, 0.15480050479042498, 0.05786051805868434, 0.15187690824313904, -0.053491120735998265, -0.20234207498530546, -0.349469568580389, -0.06444512001083542, -0.15960005110052103, 0.059305610174002744, -0.14998451988988867, -0.15087783550067493, 0.39137016076711006, 0.1539812538831029, 0.25492395480008173, -0.007552939176093787, 0.3116825122463827, 0.1843853254104033, 0.09559150393276165, 0.08019483560201479, 0.2509710557836418, 0.12365802331381322, 0.09970287574105896, -0.25102007578728563, -0.01651715118593226, 0.16389138558103392] |
710.3061 | Modelling spin qubits in carbon peapods | We have calculated electron spin interactions in chains of Sc@C82 endohedral
fullerenes in isolation and inserted into a semiconducting or metallic
single-walled carbon nanotube to form a peapod. Using hybrid density functional
theory (DFT), we find that the spin resides mainly on the fullerene cage,
whether or not the fullerenes are in a nanotube. The spin interactions decay
exponentially with fullerene separation, and the system can be described by a
simple antiferromagnetic Heisenberg spin chain. A generalised Hubbard-Anderson
model gives an exchange parameter J and a Coulomb parameter U in good agreement
with the DFT values. Within the accuracy of the calculations, neither
semiconducting nor metallic nanotubes affect the interactions between the
fullerene electron spins.
| cond-mat.mtrl-sci cond-mat.str-el | we have calculated electron spin interactions in chains of scc82 endohedral fullerenes in isolation and inserted into a semiconducting or metallic singlewalled carbon nanotube to form a peapod using hybrid density functional theory dft we find that the spin resides mainly on the fullerene cage whether or not the fullerenes are in a nanotube the spin interactions decay exponentially with fullerene separation and the system can be described by a simple antiferromagnetic heisenberg spin chain a generalised hubbardanderson model gives an exchange parameter j and a coulomb parameter u in good agreement with the dft values within the accuracy of the calculations neither semiconducting nor metallic nanotubes affect the interactions between the fullerene electron spins | [['we', 'have', 'calculated', 'electron', 'spin', 'interactions', 'in', 'chains', 'of', 'scc82', 'endohedral', 'fullerenes', 'in', 'isolation', 'and', 'inserted', 'into', 'a', 'semiconducting', 'or', 'metallic', 'singlewalled', 'carbon', 'nanotube', 'to', 'form', 'a', 'peapod', 'using', 'hybrid', 'density', 'functional', 'theory', 'dft', 'we', 'find', 'that', 'the', 'spin', 'resides', 'mainly', 'on', 'the', 'fullerene', 'cage', 'whether', 'or', 'not', 'the', 'fullerenes', 'are', 'in', 'a', 'nanotube', 'the', 'spin', 'interactions', 'decay', 'exponentially', 'with', 'fullerene', 'separation', 'and', 'the', 'system', 'can', 'be', 'described', 'by', 'a', 'simple', 'antiferromagnetic', 'heisenberg', 'spin', 'chain', 'a', 'generalised', 'hubbardanderson', 'model', 'gives', 'an', 'exchange', 'parameter', 'j', 'and', 'a', 'coulomb', 'parameter', 'u', 'in', 'good', 'agreement', 'with', 'the', 'dft', 'values', 'within', 'the', 'accuracy', 'of', 'the', 'calculations', 'neither', 'semiconducting', 'nor', 'metallic', 'nanotubes', 'affect', 'the', 'interactions', 'between', 'the', 'fullerene', 'electron', 'spins']] | [-0.1516832911875099, 0.1873793466019969, -0.01401053029960103, 0.017124642972607705, 0.02906730995317431, -0.1825049798363787, 0.06915371649257283, 0.456597948169107, -0.212488623360466, -0.25330607233601704, -0.049064147923337784, -0.34686248640023304, -0.08373799849007475, 0.08201178879346371, 0.09339545824638519, -0.04260113801967492, 0.0704142846955444, -0.004079044173602341, -0.09602754234066724, -0.1654602754738574, 0.18822991241802556, 0.03796094323900577, 0.2511175853078225, 0.13878236213094441, 0.022172271533411714, 0.06690560126668986, 0.16447028170927966, 0.03948127797788434, -0.16532091848510613, 0.12835334049713423, 0.2410964164208915, -0.11406883578175646, 0.18912494834512472, -0.5336691553851491, -0.17255779992985099, 0.018571284374941075, 0.16691631692657738, 0.14923416002931303, -0.03784809291072745, -0.284885153844299, 0.01212844998461374, -0.22844945582185397, -0.11318820293251376, -0.06874066718298484, -0.004677336630329751, 0.04102239636050766, -0.21775420154281483, 0.11027302480253734, 0.05933088270677744, 0.023166596789866288, -0.08579377931738763, -0.13901848503972583, -0.09713117648406248, 0.04528262695346616, 0.013869984744304563, 0.009319324197509048, 0.2312079002231098, -0.06163094713140214, -0.11070533361073517, 0.3875150512740539, -0.07066661151117858, -0.17226067126581543, 0.15603311564936712, -0.16171461381140703, -0.09239214810281339, 0.14909494240163712, 0.04122519417535187, 0.10213144977675065, -0.17344636095099544, 0.13593876617405362, -0.011794921265008222, 0.20423353029815317, 0.05873109230959559, 0.058432499105516685, 0.2670740330624476, 0.19491587779402994, 0.004036054482863268, 0.09490687297881793, -0.0869027353320761, -0.09819618614161746, -0.17790637799260908, -0.18342086229587726, -0.255256885515624, 0.09181567453197204, -0.06739569982279422, -0.2279927221764075, 0.3751278310177313, 0.043885479841272876, 0.14773159211689377, -0.0524520171324216, 0.19839516985475233, 0.07534058574227649, 0.09834297668809693, -0.014968282510444783, 0.25433093372307586, 0.23496580107766613, 0.021825535545583096, -0.2954374352687553, 0.07074561580329349, 0.017250599774630053] |
710.3062 | Effects of stellar collisions on star cluster evolution and core
collapse | We systematically study the effects of collisions on the overall dynamical
evolution of dense star clusters using Monte Carlo simulations over many
relaxation times. We derive many observable properties of these clusters,
including their core radii and the radial distribution of collision products.
We also study different aspects of collisions in a cluster taking into account
the shorter lifetimes of more massive stars, which has not been studied in
detail before. Depending on the lifetimes of the significantly more massive
collision products, observable properties of the cluster can be modified
qualitatively; for example, even without binaries, core collapse can sometimes
be avoided simply because of stellar collisions.
| astro-ph | we systematically study the effects of collisions on the overall dynamical evolution of dense star clusters using monte carlo simulations over many relaxation times we derive many observable properties of these clusters including their core radii and the radial distribution of collision products we also study different aspects of collisions in a cluster taking into account the shorter lifetimes of more massive stars which has not been studied in detail before depending on the lifetimes of the significantly more massive collision products observable properties of the cluster can be modified qualitatively for example even without binaries core collapse can sometimes be avoided simply because of stellar collisions | [['we', 'systematically', 'study', 'the', 'effects', 'of', 'collisions', 'on', 'the', 'overall', 'dynamical', 'evolution', 'of', 'dense', 'star', 'clusters', 'using', 'monte', 'carlo', 'simulations', 'over', 'many', 'relaxation', 'times', 'we', 'derive', 'many', 'observable', 'properties', 'of', 'these', 'clusters', 'including', 'their', 'core', 'radii', 'and', 'the', 'radial', 'distribution', 'of', 'collision', 'products', 'we', 'also', 'study', 'different', 'aspects', 'of', 'collisions', 'in', 'a', 'cluster', 'taking', 'into', 'account', 'the', 'shorter', 'lifetimes', 'of', 'more', 'massive', 'stars', 'which', 'has', 'not', 'been', 'studied', 'in', 'detail', 'before', 'depending', 'on', 'the', 'lifetimes', 'of', 'the', 'significantly', 'more', 'massive', 'collision', 'products', 'observable', 'properties', 'of', 'the', 'cluster', 'can', 'be', 'modified', 'qualitatively', 'for', 'example', 'even', 'without', 'binaries', 'core', 'collapse', 'can', 'sometimes', 'be', 'avoided', 'simply', 'because', 'of', 'stellar', 'collisions']] | [-0.09630890002378445, 0.1812212771831829, -0.14499439057136806, 0.12981259996924444, -0.01975947142813668, -0.016003082946996056, 0.0006105404120878639, 0.4061243277669789, -0.21607502189325603, -0.3314490774037125, 0.08043072107422088, -0.23131545301457154, -0.03087725738829402, 0.21432517047875743, 0.03543644157351456, -0.00927294032086801, 0.15648410691244302, 0.013554448113889894, -0.10139705313295648, -0.28250732294514463, 0.3366504479025569, 0.08914654184933578, 0.15773474080401045, 0.025476389969307407, -0.002964679853529365, 0.003078242341735374, -0.04020749680071234, 0.06540105412670663, -0.1481419774599234, 0.046574305958129794, 0.18420702341517486, 0.13754326399093686, 0.2328609087217216, -0.4705208170915318, -0.23063361898900192, 0.11836315467779603, 0.24842078952884702, 0.11771016857242995, -0.057375897978983, -0.26759625435154016, 0.0868905294843227, -0.2434778739567672, -0.13706052574877428, -0.024258669500596054, 0.04457340455640142, 0.06050333583936374, -0.201210811651512, 0.11241844981755392, 0.026996217470857637, 0.03270782921985488, -0.0745886595458419, -0.1429935803584685, -0.05434092876684164, 0.10300001623783539, 0.03542574840732719, -0.053039284218450854, 0.17757171455762027, -0.1184310950937237, -0.06893546226495337, 0.4234524337209274, 0.008386613493219506, -0.10827372891602115, 0.2640939548298299, -0.1865344178976021, -0.167629751498663, 0.1306748424687153, 0.23302476230473476, 0.16213234400520293, -0.2112262955710083, 0.0020119934903118307, 0.020073302168503542, 0.1525261259298319, 0.08486849172301938, 0.08875830275894395, 0.2615205861419161, 0.16589281654908, -0.032549357260403304, 0.11666985379888842, -0.10746506980629028, -0.1528820078123674, -0.22015225942133465, -0.10545642230503052, -0.11851515082607621, 0.06861703068458053, -0.11988556366313192, -0.11690135759727976, 0.3460264996686411, 0.11974523873634149, 0.21849962007080284, 0.010830665756861252, 0.26718826484039565, 0.12371279528173053, 0.12178255000726154, 0.07315120046575353, 0.24323211659929742, 0.1427076288681721, 0.044134191423436955, -0.26458939708003376, 0.0942180094518046, 0.006482403259724379] |
710.3063 | The Baikal Neutrino Telescope: Status and plans | The high energy neutrino telescope NT200+ is currently in operation in Lake
Baikal. We review the status of the Baikal the Baikal Neutrino Telescope, and
describe recent progress on key components of the next generation
kilometer-cube (km3) Lake Baikal detector, like investigation of new large area
phototubes, integrated into the telescope.
| astro-ph | the high energy neutrino telescope nt200 is currently in operation in lake baikal we review the status of the baikal the baikal neutrino telescope and describe recent progress on key components of the next generation kilometercube km3 lake baikal detector like investigation of new large area phototubes integrated into the telescope | [['the', 'high', 'energy', 'neutrino', 'telescope', 'nt200', 'is', 'currently', 'in', 'operation', 'in', 'lake', 'baikal', 'we', 'review', 'the', 'status', 'of', 'the', 'baikal', 'the', 'baikal', 'neutrino', 'telescope', 'and', 'describe', 'recent', 'progress', 'on', 'key', 'components', 'of', 'the', 'next', 'generation', 'kilometercube', 'km3', 'lake', 'baikal', 'detector', 'like', 'investigation', 'of', 'new', 'large', 'area', 'phototubes', 'integrated', 'into', 'the', 'telescope']] | [-0.08281070381402969, 0.2222096669487655, 0.004774629259482026, 0.091246010561008, -0.06988061890006066, -0.049349029418081045, -0.024528270848095418, 0.2984804159775376, -0.1072654116153717, -0.36851324431598187, 0.20742942136246711, -0.3769831334799528, -0.12895404710434377, 0.2474460535356775, -0.08193210946395993, 0.04105598139576614, 0.18978343481197954, -0.08779520116746425, -0.05255106847733259, -0.24617643356323243, 0.22050786247476936, 0.29192199170589445, 0.3626994778960943, 0.0977299815416336, 0.21906918079126625, -0.09171135240700096, -0.14133797593414785, -0.10701844584895298, -0.11968304425477981, 0.0768442933820188, 0.29200758893042805, 0.19363807732239366, 0.1535297716036439, -0.4638856952264905, -0.11035791305825114, 0.1085746907745488, 0.03544498559553176, -0.048001154139637944, -0.0735424296488054, -0.35659467583522203, -0.007328762579709292, -0.2158010710030794, -0.20946199467405677, 0.12225145280361176, -0.037517833150923253, 0.005871884264051914, -0.10318725448101759, -0.09290904072113335, -0.11020446514710784, 0.03994451703503728, -0.049307837635278705, -0.2124463973660022, 0.0623520257906057, 0.13268091021105646, -0.010001418725587428, 0.022791726419236512, 0.10109185889246873, -0.16387551250867546, 0.00447874866425991, 0.33313894979655745, -0.0882877200935036, 0.04513481262605637, 0.09023608247051015, -0.2286807919293642, -0.18723495863378048, 0.1270870422106236, 0.3027756723947823, 0.014685031885746866, -0.2596758277900517, 0.13055719971540383, -0.05678035436198115, 0.1366701767966151, 0.052111856597475706, 0.0007768681272864342, 0.30452974431216717, 0.4100137588754296, 0.16583256374447955, 0.027192443050444125, -0.3136099232500419, -0.040868255738168956, -0.3547529445961118, -0.19022733999416233, -0.1232515047537163, 0.04814494589343667, 0.07991256636596518, -0.07977064680308103, 0.4500965978950262, 0.1084572906885296, 0.05994618501514196, -0.0222050750721246, 0.31263427635654806, -0.08500373407267034, 0.13360261746682225, -0.004206269877031445, 0.324067536406219, 0.0747196650414844, 0.2538606715481728, -0.23200528451241553, -0.02943163621937856, 0.06862501275725663] |
710.3064 | The Baikal Neutrino Telescope: Selected Physics Results | We present results on searches for exotic particles (relativistic magnetic
monopoles and WIMPs) and for UHE neutrinos, obtained with the Baikal neutrino
telescope NT200.
| astro-ph | we present results on searches for exotic particles relativistic magnetic monopoles and wimps and for uhe neutrinos obtained with the baikal neutrino telescope nt200 | [['we', 'present', 'results', 'on', 'searches', 'for', 'exotic', 'particles', 'relativistic', 'magnetic', 'monopoles', 'and', 'wimps', 'and', 'for', 'uhe', 'neutrinos', 'obtained', 'with', 'the', 'baikal', 'neutrino', 'telescope', 'nt200']] | [-0.090149575456356, 0.4398788726539351, -0.022524918507163722, 0.28931905546536046, -0.10090728546492755, -0.09516005860253547, 0.0013967521469263982, 0.36988485092297196, -0.01813263938917468, -0.391752059571445, -0.010778615813857565, -0.40630644792690873, 0.013134882630159458, 0.2529434682801366, 0.12461918809761603, -0.013891176398222646, 0.17262878005082408, -0.07043065642938018, -0.019084497762378305, -0.23180112914027026, 0.24341703887330368, 0.2219172662201648, 0.13403381985456994, 0.08390566718298942, 0.19901012536138296, -0.028101137354193877, -0.06946954557982583, -0.11902654132184882, -0.14234842422107855, 0.02911547354112069, 0.19271571550052613, 0.08075022020299609, -0.08068899313608806, -0.4878225037828088, -0.1755956456375619, 0.20090533567902943, 0.1373214735649526, 0.020572636121263106, -0.2357176027192812, -0.5294784766932329, 0.04840966205423077, -0.18057340216667703, -0.19414897495880723, -0.0184026825785016, -0.09800570139971872, 0.0073671153125663595, -0.2515502726503958, -0.023691639381771285, -0.09209068786973755, -0.02897615482409795, -0.16910498143018535, -0.2546461679933903, 0.11477707801289701, -0.03265840428260466, 0.1936587510475268, -0.07352454395731911, 0.17581906929262914, -0.21991334085275108, -0.1486373608931899, 0.418723844923079, -0.09445528822834603, -0.047952162489915885, 0.16881656301969392, -0.21969662761936584, -0.21648671415944895, 0.16757448591912785, 0.24150031273408482, 0.08870211412431672, -0.17544646270107478, 0.12844613875010205, -0.10016687268701692, 0.07303212032032509, 0.018992055517931778, 0.019220578639457624, 0.38058118848130107, 0.2712116593805452, 0.15661425954507044, -0.08909233266604133, -0.2982624404733845, 0.10704095378362884, -0.3751718994850914, -0.1655221875019682, -0.14078268563995758, 0.08253636661296089, 0.022667848079436226, -0.06584071951995914, 0.34974249799658236, 0.11048959641872595, 0.030260794951270025, 0.009375473678422471, 0.2739351335912943, -0.05580247212977459, -0.019562863240328927, 0.07203097183567782, 0.41652637471755344, 0.1673670800525239, 0.23931371554499492, -0.20107328612357378, -0.14915022486820817, 0.15455280659565082] |
710.3065 | Localization on quantum graphs with random vertex couplings | We consider Schr\"odinger operators on a class of periodic quantum graphs
with randomly distributed Kirchhoff coupling constants at all vertices. Using
the technique of self-adjoint extensions we obtain conditions for localization
on quantum graphs in terms of finite volume criteria for some energy-dependent
discrete Hamiltonians. These conditions hold in the strong disorder limit and
at the spectral edges.
| math-ph math.MP | we consider schrodinger operators on a class of periodic quantum graphs with randomly distributed kirchhoff coupling constants at all vertices using the technique of selfadjoint extensions we obtain conditions for localization on quantum graphs in terms of finite volume criteria for some energydependent discrete hamiltonians these conditions hold in the strong disorder limit and at the spectral edges | [['we', 'consider', 'schrodinger', 'operators', 'on', 'a', 'class', 'of', 'periodic', 'quantum', 'graphs', 'with', 'randomly', 'distributed', 'kirchhoff', 'coupling', 'constants', 'at', 'all', 'vertices', 'using', 'the', 'technique', 'of', 'selfadjoint', 'extensions', 'we', 'obtain', 'conditions', 'for', 'localization', 'on', 'quantum', 'graphs', 'in', 'terms', 'of', 'finite', 'volume', 'criteria', 'for', 'some', 'energydependent', 'discrete', 'hamiltonians', 'these', 'conditions', 'hold', 'in', 'the', 'strong', 'disorder', 'limit', 'and', 'at', 'the', 'spectral', 'edges']] | [-0.16307167712085205, 0.148326748596697, -0.0034290585899725556, 0.05512246622800313, -0.0320509322637949, -0.1767658677417785, 0.02972414308821718, 0.4091672822833061, -0.2312628620400511, -0.2237673575090694, 0.09669916814289473, -0.3114455625061588, -0.1046311624091247, 0.1684179332203649, -0.04345929027727709, 0.1211635867587355, 0.09857098446709328, 0.05714528835860306, -0.06399686446670315, -0.22433155990237819, 0.3646346272053679, -0.06708507373495477, 0.21333013892430683, 0.11881481682689025, 0.05981514148478364, 0.05424101874714011, 0.034730547093706016, 0.028877167512887512, -0.17962639993317586, 0.070466298722373, 0.2361169298910054, -0.0141522908615398, 0.23215402506998387, -0.4425294305808071, -0.22226072730624985, 0.15775038311579104, 0.07185884616498289, 0.11516231367492984, -0.0008474904441692192, -0.3152053511364321, 0.09798450370174672, -0.08762278517001662, -0.1629358508206647, -0.04547549689445516, 0.02079755823521329, 0.05550217785840404, -0.30538774863013934, 0.07780932549162414, 0.0689242347625309, 0.08631446707897403, -0.0695028693158308, -0.07976564809936902, 0.038544553837835276, 0.09369712536512263, -0.06306450668890992, -0.11173835693826449, 0.0515136757126913, -0.08055082499852469, -0.15040024544176614, 0.37468553967131624, -0.06997374896409697, -0.23376004027748673, 0.14296391610846984, -0.1150213645225198, -0.19293863597679242, 0.0703743302568408, 0.16730330894091006, 0.16186180447453055, -0.14359440614373006, 0.19187868758935706, -0.03165062789901577, 0.08568967838675298, 0.10606096405535936, 0.13527400902440323, 0.12511149705548225, 0.05382150921424658, 0.17273914696777176, 0.1445590330775554, 0.019018290722983534, -0.09569427593418493, -0.3654992703733773, -0.07715126905782983, -0.22646169817468537, 0.0753814913653608, -0.20270822194765187, -0.2453104585152248, 0.4486728658626691, 0.12792713973863884, 0.17405024921553658, 0.11346457452224247, 0.15180181884527977, 0.16857659866519528, 0.04983954318413453, 0.0915856163483113, 0.15782084388523926, 0.1850020152251718, 0.07283822083364017, -0.21870501276812163, -0.018983753839636158, 0.1694993953589864] |
710.3066 | A Unified Approach to Algebraic Set Theory | The paper provides an introduction to the field of Algebraic Set Theory
(AST). AST is a flexible categorical framework for studying different kinds of
set theories: both classical and constructive, predicative and impredicative.
We discuss the basic results in this area, with a particular emphasis on
applications to the constructive set theories IZF and CZF. (This paper is a
summary of a tutorial on categorical logic given by the second named author at
the Logic Colloquium 2006 in Nijmegen.)
| math.LO math.CT | the paper provides an introduction to the field of algebraic set theory ast ast is a flexible categorical framework for studying different kinds of set theories both classical and constructive predicative and impredicative we discuss the basic results in this area with a particular emphasis on applications to the constructive set theories izf and czf this paper is a summary of a tutorial on categorical logic given by the second named author at the logic colloquium 2006 in nijmegen | [['the', 'paper', 'provides', 'an', 'introduction', 'to', 'the', 'field', 'of', 'algebraic', 'set', 'theory', 'ast', 'ast', 'is', 'a', 'flexible', 'categorical', 'framework', 'for', 'studying', 'different', 'kinds', 'of', 'set', 'theories', 'both', 'classical', 'and', 'constructive', 'predicative', 'and', 'impredicative', 'we', 'discuss', 'the', 'basic', 'results', 'in', 'this', 'area', 'with', 'a', 'particular', 'emphasis', 'on', 'applications', 'to', 'the', 'constructive', 'set', 'theories', 'izf', 'and', 'czf', 'this', 'paper', 'is', 'a', 'summary', 'of', 'a', 'tutorial', 'on', 'categorical', 'logic', 'given', 'by', 'the', 'second', 'named', 'author', 'at', 'the', 'logic', 'colloquium', '2006', 'in', 'nijmegen']] | [-0.10622569714095208, 0.025560099812986365, -0.08620128407484934, 0.0915217247048888, -0.15493104347511183, -0.11645028037549573, 0.04526800251583557, 0.28913020586618515, -0.2594127360852199, -0.26611274204959595, 0.07356237466417583, -0.23796707327894667, -0.16333037496786093, 0.1847762342872499, -0.16539694649414927, -0.011102641272488275, 0.017906701273308432, 0.0768591386996964, -0.04245656528038597, -0.24576124500577587, 0.3525234675919048, 0.01418507844209671, 0.25948785369201927, 0.06667729672796058, 0.11692922572970768, 0.07380681303978155, -0.062645331809085, 0.05202141991238805, -0.1561136355305303, 0.1953169215187619, 0.30663115896661824, 0.18243093640673197, 0.3094314881423606, -0.423556864167316, -0.13000790059236408, 0.030044870958015134, 0.03882591650361502, 0.11760145825550514, -0.016859371029429988, -0.309363697101421, 0.0786353746735597, -0.21034175850144482, -0.059190799435011196, -0.08791015538846768, 0.0635126443606318, -0.008831503105503095, -0.24988048680346236, -0.057278315188905485, 0.1404434453306979, 0.16751539835682774, -0.009504894400678598, -0.10163509750096246, 0.07450727683704204, 0.030201520558588112, -0.035199180641064205, 0.08470760454435515, 0.054741893628246704, -0.08773209553659905, -0.1518430711960868, 0.3608048918975305, -0.025531503607672226, -0.15219562149995677, 0.19902620119148795, -0.05613445289008602, -0.2409670570411401, 0.014442088836921921, 0.14053855697282508, 0.11134682753700999, -0.16903666753463353, 0.18174581974523754, -0.05094604566693306, 0.1477100140521232, 0.0810470934839377, 0.03829124215047194, 0.20116427736474743, 0.2086737495169185, -0.005675323272147511, 0.1355931718945739, 0.03390831136604464, -0.10636915102648208, -0.41379878802012793, -0.15965845154692668, -0.09386155721318873, -0.010010264790322207, -0.03391764415490671, -0.17544158805998725, 0.43357449353236377, 0.14228402448543995, 0.11230103518295137, 0.11527826454301801, 0.2813241478715894, 0.09532558007509878, -0.016324464235413536, -0.00032333712553298926, 0.12963473891745073, 0.17904714542393915, 0.11657225717849369, -0.0956109024358094, 0.0067303944681181655, 0.1423142088188118] |
710.3067 | Parity Doublet Model applied to Neutron Stars | The Parity doublet model containing the SU(2) multiplets including the
baryons identified as the chiral partners of the nucleons is applied for
neutron star matter. The chiral restoration is analyzed and the maximum mass of
the star is calculated.
| astro-ph | the parity doublet model containing the su2 multiplets including the baryons identified as the chiral partners of the nucleons is applied for neutron star matter the chiral restoration is analyzed and the maximum mass of the star is calculated | [['the', 'parity', 'doublet', 'model', 'containing', 'the', 'su2', 'multiplets', 'including', 'the', 'baryons', 'identified', 'as', 'the', 'chiral', 'partners', 'of', 'the', 'nucleons', 'is', 'applied', 'for', 'neutron', 'star', 'matter', 'the', 'chiral', 'restoration', 'is', 'analyzed', 'and', 'the', 'maximum', 'mass', 'of', 'the', 'star', 'is', 'calculated']] | [-0.10982020476307625, 0.25347899636014914, -0.040660423280384675, 0.15679929024265268, -0.07188416741048105, -0.08890525332819192, -0.02951066234172919, 0.2974725634050675, -0.10124326770146115, -0.305954505999883, 0.021884728223085403, -0.3216806092323401, 0.03210832589329817, -0.010908568331685204, 0.08942554709620965, 0.03331237211107062, -0.03243235828211674, 0.17963439054214037, -0.07182790192130667, -0.22720838185901251, 0.32702642170569074, -0.05790649833253179, 0.20193115927470037, 0.11195043646372281, 0.08010036718004789, -0.009002751073776146, 0.010719342778126398, -0.09675930077448869, -0.06300174884307079, 0.015954691009261668, 0.18463064338534307, 0.08075539493121398, 0.06120000454859856, -0.37381107426988774, -0.20522782559960318, 0.09810765887586734, 0.1339149072808094, 0.14837886753659218, -0.09787378353305543, -0.33209304148570085, 0.0901068216906144, -0.2246846336668405, -0.17500983938001669, -0.07571169399680236, -0.013189559396451864, -0.042315713894099764, -0.30268557971486676, 0.12024825049612002, -0.02390539766743015, 0.031536407386645295, -0.08312047416201004, -0.22887873417960528, -0.17297899682456866, 0.03596940884987513, 0.1446852404415273, 0.04850635859064567, 0.17055395317192262, -0.24334003198414278, -0.11386533313168165, 0.5095839731586285, -0.07185123161150095, -0.10048574319061561, 0.07318407067885765, -0.0943389155018406, -0.16411308349611667, 0.08808788370627624, 0.12414821634928767, 0.15779365410502905, -0.14355303335170716, 0.07197016049982406, -0.0945596523487415, 0.17607894435954782, 0.06822190034943514, 0.02392905109967941, 0.32754391114203596, 0.1882502315685344, -0.02136631208495834, 0.09963062243201794, -0.16340737376744166, -0.14504816941916943, -0.3228938296699944, -0.0926187858880999, -0.18390255067975092, -0.018671683799953032, -0.060713860086532526, -0.05649696801526424, 0.4400488277658438, 0.0028653245132703046, 0.18107156097912827, -0.0528681925080048, 0.27864948563421, 0.11663770524916263, 0.1361170005148802, 0.03305778448255016, 0.3130357688388381, 0.32830812562352574, 0.06738886990112802, -0.3849042207360841, -0.04809110384816543, 0.06664185950723596] |
710.3068 | Identifying $D_{sJ}(2700)$ through its decay modes | We study how to assign the recently observed $D_{sJ}(2700)$ meson to an
appropriate level of the $c \bar s$ spectrum by the analysis of its decay modes
in final states comprising a light pseudoscalar meson. We use an effective
lagrangian approach with heavy quark and chiral symmetries, obtaining that the
measurement of the $D^* K$ decay width would allow to distinguish between two
possible assignments.
| hep-ph hep-ex | we study how to assign the recently observed d_sj2700 meson to an appropriate level of the c bar s spectrum by the analysis of its decay modes in final states comprising a light pseudoscalar meson we use an effective lagrangian approach with heavy quark and chiral symmetries obtaining that the measurement of the d k decay width would allow to distinguish between two possible assignments | [['we', 'study', 'how', 'to', 'assign', 'the', 'recently', 'observed', 'd_sj2700', 'meson', 'to', 'an', 'appropriate', 'level', 'of', 'the', 'c', 'bar', 's', 'spectrum', 'by', 'the', 'analysis', 'of', 'its', 'decay', 'modes', 'in', 'final', 'states', 'comprising', 'a', 'light', 'pseudoscalar', 'meson', 'we', 'use', 'an', 'effective', 'lagrangian', 'approach', 'with', 'heavy', 'quark', 'and', 'chiral', 'symmetries', 'obtaining', 'that', 'the', 'measurement', 'of', 'the', 'd', 'k', 'decay', 'width', 'would', 'allow', 'to', 'distinguish', 'between', 'two', 'possible', 'assignments']] | [-0.10473305132383337, 0.23623898615747188, -0.12760256035969808, 0.07315590954027497, -0.061917569660223444, -0.17685151817993475, 0.10219490318200909, 0.3258623836705318, -0.22125643494610603, -0.282108470510978, -0.0378936204002597, -0.2966511597427038, -0.03134716253441114, 0.058575228759302544, 0.0827497790209376, 0.06705922235000449, 0.04811629460802158, 0.06534384897766778, -0.06785844198804206, -0.1844236451272781, 0.32418156825006006, -0.01638625579384657, 0.20523101054490187, 0.10122113735056841, -0.004211307087769875, 0.026188951974304823, -0.027366316587162706, -0.07532416798460942, -0.14029932283279217, 0.11899801158399965, 0.1883091747572717, 0.1292662559220424, 0.14805409113804882, -0.36037220685527876, -0.12473650048486888, 0.12783667518255803, 0.15951591106131674, 0.10614097787497136, -0.002723449396972473, -0.3089879074348853, 0.130336958481572, -0.15952639735948582, -0.17636563354530013, -0.14008013852513754, 0.06886023641922152, -0.10782584539757899, -0.3109116261251844, 0.027894868083351936, -0.021526439803150985, 0.018012963951780245, -0.03024626248337042, -0.18398133719769807, -0.05011342127735798, 0.08378407249513727, 0.11392632579932419, 0.0634762698054636, 0.12383157102247844, -0.1289195029459034, -0.14917249711087116, 0.3735671484413055, -0.13054448095723414, -0.1845131609445581, 0.16557833313440473, -0.1258756905149382, -0.1208787028462841, 0.12163140422736222, 0.1947898944409994, 0.08743190858513117, -0.14372184538783936, 0.06980037028596808, -0.05417176025131574, 0.17829990836684234, 0.07337324925196859, 0.08860789140184912, 0.2064988333718457, 0.13504708919387598, -0.014807728577691776, 0.08494538183395679, -0.10062208409922627, -0.04654252655320586, -0.3655485267822559, -0.15118931602113522, -0.08728133347601845, 0.06765919199679046, -0.01877846825988784, -0.11358219506935431, 0.43671508193589176, 0.08058090699979892, 0.27423996830788944, -0.012508932304067107, 0.27631586897545135, 0.09967816927685187, 0.06325189279428181, 0.06993456401933844, 0.2734222715648894, 0.22370811987739916, 0.0753434670659212, -0.3174850593392666, -0.02302314262980452, 0.027253504058059593] |
710.3069 | $C^*$-envelopes of universal free products and semicrossed products for
multivariable dynamics | We show that for a class of operator algebras satisfying a natural condition
the $C^*$-envelope of the universal free product of operator algebras $A_i$ is
given by the free product of the $C^*$-envelopes of the $A_i$. We apply this
theorem to, in special cases, the $C^*$-envelope of the semicrossed products
for multivariable dynamics in terms of the single variable semicrossed products
of Peters.
| math.OA math.FA | we show that for a class of operator algebras satisfying a natural condition the cenvelope of the universal free product of operator algebras a_i is given by the free product of the cenvelopes of the a_i we apply this theorem to in special cases the cenvelope of the semicrossed products for multivariable dynamics in terms of the single variable semicrossed products of peters | [['we', 'show', 'that', 'for', 'a', 'class', 'of', 'operator', 'algebras', 'satisfying', 'a', 'natural', 'condition', 'the', 'cenvelope', 'of', 'the', 'universal', 'free', 'product', 'of', 'operator', 'algebras', 'a_i', 'is', 'given', 'by', 'the', 'free', 'product', 'of', 'the', 'cenvelopes', 'of', 'the', 'a_i', 'we', 'apply', 'this', 'theorem', 'to', 'in', 'special', 'cases', 'the', 'cenvelope', 'of', 'the', 'semicrossed', 'products', 'for', 'multivariable', 'dynamics', 'in', 'terms', 'of', 'the', 'single', 'variable', 'semicrossed', 'products', 'of', 'peters']] | [-0.1498411778094513, 0.10140942078497675, -0.036667576754495265, 0.042404901886743215, -0.05902066296114335, -0.08503838408265323, -0.017653515192842674, 0.3188608357948916, -0.3699351722182381, -0.12880436056810948, 0.1237425195748016, -0.2323869953028089, -0.14596155055222057, 0.2117653696221255, -0.13068312436105714, -0.0016364020827625478, 0.10903846301020138, 0.15122691887829984, -0.11196710665651138, -0.2275715579116155, 0.4794209993311337, -0.007644008275949293, 0.18612320007135472, 0.05774644482880831, 0.11462145031148953, 0.05998106566923005, -0.01878095931181359, -0.05511016265786782, -0.18281384377561544, 0.11559241792807977, 0.24276399576947802, 0.14222807602749932, 0.2482612895454088, -0.3507002073687516, -0.07505028731086189, 0.19201657254367122, 0.10343282148685484, -0.05270180209643311, 0.011356780394202187, -0.24178579306259515, 0.039972075068997956, -0.2735217965488869, -0.13539723687553926, -0.08164190698326343, 0.054620384785627564, 0.01604838672256659, -0.361913593545083, 0.08388696426510929, 0.11487836224426116, 0.03288665777515797, -0.11701494182962628, -0.10032452641439343, -0.05154941616845982, 0.13073665647220517, -0.02230142224358306, -0.04653208220880183, 0.1048864878507124, -0.08689772496960821, -0.1409178510426529, 0.3710242256167389, -0.0486118435445759, -0.23765887719179904, 0.095965829796143, -0.20188123232404154, -0.2036461335207735, 0.0357070123085693, 0.05884920779637815, 0.18045109921386318, -0.08545235483094103, 0.19411613033818348, -0.15120706387928554, 0.00769650921343811, 0.07731799299400004, 0.03470889751666358, 0.08658900166610403, 0.04163152892290363, 0.06131031432019044, 0.21147240857992852, 0.07752082425923575, -0.04922711847734357, -0.37759788479611633, -0.23728580686027215, -0.12268231992447187, 0.11528282380101108, -0.11635187061296569, -0.2203396689442415, 0.43119577327299685, 0.06799012914093004, 0.14620012497263296, 0.07255407020686165, 0.2027751837620541, 0.14005017032225928, 0.11274884991525184, 0.009386287159508183, 0.1179714116548735, 0.2449360684277342, 0.03065195760970551, -0.15772728925748242, -0.009640767194685481, 0.18967690419346567] |
710.307 | A curious example of two model categories and some associated
differential graded algebras | The paper gives a new proof that the model categories of stable modules for
the rings Z/(p^2) and (Z/p)[\epsilon]/(\epsilon^2) are not Quillen equivalent.
The proof uses homotopy endomorphism ring spectra. Our considerations lead to
an example of two differential graded algebras which are derived equivalent but
whose associated model categories of modules are not Quillen equivalent. As a
bonus, we also obtain derived equivalent dgas with non-isomorphic K-theories.
| math.AT | the paper gives a new proof that the model categories of stable modules for the rings zp2 and zpepsilonepsilon2 are not quillen equivalent the proof uses homotopy endomorphism ring spectra our considerations lead to an example of two differential graded algebras which are derived equivalent but whose associated model categories of modules are not quillen equivalent as a bonus we also obtain derived equivalent dgas with nonisomorphic ktheories | [['the', 'paper', 'gives', 'a', 'new', 'proof', 'that', 'the', 'model', 'categories', 'of', 'stable', 'modules', 'for', 'the', 'rings', 'zp2', 'and', 'zpepsilonepsilon2', 'are', 'not', 'quillen', 'equivalent', 'the', 'proof', 'uses', 'homotopy', 'endomorphism', 'ring', 'spectra', 'our', 'considerations', 'lead', 'to', 'an', 'example', 'of', 'two', 'differential', 'graded', 'algebras', 'which', 'are', 'derived', 'equivalent', 'but', 'whose', 'associated', 'model', 'categories', 'of', 'modules', 'are', 'not', 'quillen', 'equivalent', 'as', 'a', 'bonus', 'we', 'also', 'obtain', 'derived', 'equivalent', 'dgas', 'with', 'nonisomorphic', 'ktheories']] | [-0.12101130141292823, -0.013506836005714166, -0.08496555549773707, 0.13374847629621847, -0.091126183061791, -0.24854851521051197, -0.08967986626119645, 0.3874473141422912, -0.35114714811875747, -0.22541688991460337, 0.09182266287033015, -0.20256788683916205, -0.14508413955041055, 0.20739612697081558, -0.19465522170622848, -0.1143258841319093, 0.09225545012489406, 0.09491577430857595, -0.046255147824786715, -0.27070825947309607, 0.4379756726157754, 0.027128518764068608, 0.2392335162355687, 0.013522625751376374, 0.13765714977131183, -0.053687425191277886, -0.03635017990843573, 0.042066684159547535, -0.19387766506591092, 0.17352503978772393, 0.3040465866841042, 0.035855505559871444, 0.11564877523637529, -0.367216247231213, -0.0074748987220783734, 0.16888497562717592, 0.1516048449731029, 0.053077801274928026, -0.015653400330929393, -0.2930160984118928, 0.1255575512160561, -0.26450924653170715, -0.08294978732270981, -0.1005823640152812, 0.04831078470990395, 0.04641314070504993, -0.27085136120388315, -0.05120683983081271, 0.12045594353016827, 0.10838019651875122, -0.12246188832405232, -0.0869071770028503, -0.09477862208011324, 0.07960473294300374, -0.04005581816422072, -0.07188245347603711, 0.1294740689640392, -0.03990934577895634, -0.1715371330588389, 0.3574458260033558, -0.06071772721053949, -0.18399272008395906, 0.16530144111072617, -0.047786141120230975, -0.13156285215475, 0.20095454067436616, -0.051503056754121805, 0.1333267857501311, -0.09080016422571975, 0.12818450033021814, -0.1835981738100301, 0.10144941537960697, 0.06622658291164396, 0.05376112358922611, 0.1709096486082495, 0.061962658595015756, 0.058739658403853236, 0.1412938590397808, 0.07391683004515023, -0.0467649888970069, -0.3693556033297261, -0.18340119210752978, -0.00909753743760677, 0.10543593038055948, -0.05813739675339555, -0.20740439674691924, 0.4298735904271033, 0.13289603280987758, 0.18401520494927667, 0.20977563867102197, 0.21159395239135223, 0.07527958684420186, 0.10484222155898365, -0.011057454485180371, 0.17727223264466999, 0.2941682533319317, -0.007844573748645499, -0.01861743334291586, -0.021723249197395433, 0.22291661809379262] |
710.3071 | Separable states and positive maps | Using the natural duality between linear functionals on tensor products of
C*-algebras with the trace class operators on a Hilbert space H and linear maps
of the C*-algebra into B(H), we study the relationship between separability,
entanglement and the Peres condition of states and positivity properties of the
linear maps.
| math.OA | using the natural duality between linear functionals on tensor products of calgebras with the trace class operators on a hilbert space h and linear maps of the calgebra into bh we study the relationship between separability entanglement and the peres condition of states and positivity properties of the linear maps | [['using', 'the', 'natural', 'duality', 'between', 'linear', 'functionals', 'on', 'tensor', 'products', 'of', 'calgebras', 'with', 'the', 'trace', 'class', 'operators', 'on', 'a', 'hilbert', 'space', 'h', 'and', 'linear', 'maps', 'of', 'the', 'calgebra', 'into', 'bh', 'we', 'study', 'the', 'relationship', 'between', 'separability', 'entanglement', 'and', 'the', 'peres', 'condition', 'of', 'states', 'and', 'positivity', 'properties', 'of', 'the', 'linear', 'maps']] | [-0.0885859514772892, 0.12219073734711855, -0.07312675967812537, 0.07734895383939147, -0.03177541506011039, -0.0975602631829679, 0.012786850538104773, 0.3401778133958578, -0.33853366747498514, -0.19461403582245113, 0.11510989130474628, -0.3053365880809724, -0.1201185042411089, 0.14964259017258882, -0.032333720214664935, 0.09322014611214399, 0.05936215665191412, 0.028376315236091614, -0.18773541370406746, -0.21773036798462272, 0.48119413865031674, 0.02107692549005151, 0.24649885468184948, 0.07531142005696893, 0.16087065583094953, 0.037673705401830376, -0.03816095244139433, 0.00013743827992584556, -0.14268623786978424, 0.15674257473438047, 0.2206441815546714, 0.17725022124126555, 0.24164443001151084, -0.4038039679825306, -0.1346693610958755, 0.1775393132120371, -0.017791919747833163, -0.03000632007839158, 0.004239501203410327, -0.33408195748925207, -0.013698227386921644, -0.14287344010546804, -0.023377072289586066, -0.12074787294492126, 0.055557193644344804, -0.03018318508286029, -0.27852570459246634, 0.09229085924569518, 0.13224361054599285, 0.09107824644073843, -0.11606433568522334, -0.007149506714195013, -0.11195461614057421, 0.09746335939504207, -0.040919190235435964, -0.06106608128640801, 0.10454705901443959, -0.08060380533337592, -0.11792518308386207, 0.3086682825908065, -0.09776362409698777, -0.2416818369179964, 0.21152947191148996, -0.20770444609224797, -0.15667841354850678, 0.012319177594035865, 0.13550990533083676, 0.13220701117068528, -0.057942363172769545, 0.19355318812304176, -0.13422531699761747, 0.08974874306470156, 0.05788475461304188, 0.12630870877765119, 0.12124459758400917, 0.004788040106650442, 0.1360878377314657, 0.226286466345191, 0.03504388133995235, -0.08749091614037752, -0.3482755493372679, -0.21476767545565964, -0.15701609306037426, 0.09645303198602051, -0.14359102674672614, -0.1663215972483158, 0.42854396331124006, 0.016942141707986594, 0.2263392649788875, 0.10643242189660668, 0.17767306342720984, 0.1239096512645483, 0.06941535053774714, 0.04670824885368347, 0.1752961445786059, 0.3504808226972818, 0.014054983798414468, -0.2278120501060039, -0.0058457724191248416, 0.23520443290472032] |
710.3072 | Cohomology of the Hilbert scheme of points on a surface with values in
representations of tautological bundles | Let $X$ a smooth quasi-projective algebraic surface, $L$ a line bundle on
$X$. Let $X^{[n]}$ the Hilbert scheme of $n$ points on $X$ and $L^{[n]}$ the
tautological bundle on $X^{[n]}$ naturally associated to the line bundle $L$ on
$X$. We explicitely compute the image $\bkrh(L^{[n]})$ of the tautological
bundle $L^{[n]}$ for the Bridgeland-King-Reid equivalence $\bkrh :
\B{D}^b(X^{[n]}) \ra \B{D}^b_{\perm_n}(X^n)$ in terms of a complex
$\comp{\mc{C}}_L$ of $\perm_n$-equivariant sheaves in $\B{D}^b_{\perm_n}(X^n)$.
We give, moreover, a characterization of the image $\bkrh(L^{[n]} \tens ...
\tens L^{[n]})$ in terms of of the hyperderived spectral sequence $E^{p,q}_1$
associated to the derived $k$-fold tensor power of the complex
$\comp{\mc{C}}_L$. The study of the $\perm_n$-invariants of this spectral
sequence allows to get the derived direct images of the double tensor power and
of the general $k$-fold exterior power of the tautological bundle for the
Hilbert-Chow morphism, providing Danila-Brion-type formulas in these two cases.
This yields easily the computation of the cohomology of $X^{[n]}$ with values
in $L^{[n]} \tens L^{[n]}$ and $\Lambda^k L^{[n]}$.
| math.AG math.AC math.CO | let x a smooth quasiprojective algebraic surface l a line bundle on x let xn the hilbert scheme of n points on x and ln the tautological bundle on xn naturally associated to the line bundle l on x we explicitely compute the image bkrhln of the tautological bundle ln for the bridgelandkingreid equivalence bkrh bdbxn ra bdb_perm_nxn in terms of a complex compmcc_l of perm_nequivariant sheaves in bdb_perm_nxn we give moreover a characterization of the image bkrhln tens tens ln in terms of of the hyperderived spectral sequence epq_1 associated to the derived kfold tensor power of the complex compmcc_l the study of the perm_ninvariants of this spectral sequence allows to get the derived direct images of the double tensor power and of the general kfold exterior power of the tautological bundle for the hilbertchow morphism providing danilabriontype formulas in these two cases this yields easily the computation of the cohomology of xn with values in ln tens ln and lambdak ln | [['let', 'x', 'a', 'smooth', 'quasiprojective', 'algebraic', 'surface', 'l', 'a', 'line', 'bundle', 'on', 'x', 'let', 'xn', 'the', 'hilbert', 'scheme', 'of', 'n', 'points', 'on', 'x', 'and', 'ln', 'the', 'tautological', 'bundle', 'on', 'xn', 'naturally', 'associated', 'to', 'the', 'line', 'bundle', 'l', 'on', 'x', 'we', 'explicitely', 'compute', 'the', 'image', 'bkrhln', 'of', 'the', 'tautological', 'bundle', 'ln', 'for', 'the', 'bridgelandkingreid', 'equivalence', 'bkrh', 'bdbxn', 'ra', 'bdb_perm_nxn', 'in', 'terms', 'of', 'a', 'complex', 'compmcc_l', 'of', 'perm_nequivariant', 'sheaves', 'in', 'bdb_perm_nxn', 'we', 'give', 'moreover', 'a', 'characterization', 'of', 'the', 'image', 'bkrhln', 'tens', 'tens', 'ln', 'in', 'terms', 'of', 'of', 'the', 'hyperderived', 'spectral', 'sequence', 'epq_1', 'associated', 'to', 'the', 'derived', 'kfold', 'tensor', 'power', 'of', 'the', 'complex', 'compmcc_l', 'the', 'study', 'of', 'the', 'perm_ninvariants', 'of', 'this', 'spectral', 'sequence', 'allows', 'to', 'get', 'the', 'derived', 'direct', 'images', 'of', 'the', 'double', 'tensor', 'power', 'and', 'of', 'the', 'general', 'kfold', 'exterior', 'power', 'of', 'the', 'tautological', 'bundle', 'for', 'the', 'hilbertchow', 'morphism', 'providing', 'danilabriontype', 'formulas', 'in', 'these', 'two', 'cases', 'this', 'yields', 'easily', 'the', 'computation', 'of', 'the', 'cohomology', 'of', 'xn', 'with', 'values', 'in', 'ln', 'tens', 'ln', 'and', 'lambdak', 'ln']] | [-0.2144801997827987, 0.009708434864878655, -0.029027791451662777, 0.011996942713546257, -0.0447975740643839, -0.11909036783501506, 0.020708101387135684, 0.32911933574359864, -0.3368544199162473, -0.20013872678081193, 0.049576183882697175, -0.26110946039523697, -0.09296336334509155, 0.2092675317451358, -0.10215359304653247, -0.0073806981764694985, -0.0020497514866292476, 0.12119949031000336, -0.11699178099632263, -0.24993429405381903, 0.39826761798933147, 0.005571377488474051, 0.2392256175975005, 0.049968094346889605, 0.12668480968723694, -0.01033466017494599, -0.01308855383346478, -0.056075926731100484, -0.14324701916251797, 0.1679605716203029, 0.29129551142454146, 0.08144080714633067, 0.18818137327635973, -0.38966072231531146, -0.11747675615673264, 0.193656756815811, 0.15170401266776026, -0.08908676905557514, 0.06624310820363462, -0.2345080872749289, 0.1289976873093595, -0.14377326601340126, -0.1226328951648126, -0.08543408452222745, 0.08926799192481363, 0.05151778944923232, -0.2798284188999484, -0.019841461374113956, 0.07257153868985673, 0.08368353561963886, -0.02328052093856968, -0.11489195314391205, -0.07221448806424936, 0.04514200075839957, -0.003653631191700697, 0.06306978956020126, 0.1087204452417791, -0.08017754961736501, -0.06270800072389345, 0.38462698442240556, -0.11128328560191827, -0.1996637645798425, 0.04885163043625653, -0.18159578075942895, -0.11968530386686325, 0.1781002148427069, 0.11390011300643285, 0.21817706971739728, 0.037516715930153925, 0.17212494985394491, -0.09041973291896284, 0.10922965683198224, 0.06139207939306895, 0.031083549464819952, 0.11207890311566492, 0.08494324959038446, 0.019267102252536764, 0.11875194933265448, -0.1000796672461244, -0.049972064606845376, -0.3748322974952559, -0.24509418071247638, -0.13129994690418242, 0.19561563983404387, -0.19713974594633327, -0.14877344134574136, 0.41780862962291093, 0.024366384010451537, 0.2833724373400522, 0.1328630774320724, 0.2605823322307939, 0.08686840935765455, 0.04929297291984161, -0.01125888121003906, 0.12329379397289207, 0.19959751905252537, 0.026818953566253186, -0.16824344334037353, -0.016572181871160864, 0.17089629181350272] |
710.3073 | Medium-evolved fragmentation functions | Medium-induced gluon radiation is usually identified as the dominant
dynamical mechanism underling the {\it jet quenching} phenomenon observed in
heavy-ion collisions. In its actual implementation, multiple medium-induced
gluon emissions are assumed to be independent, leading, in the eikonal
approximation, to a Poisson distribution. Here, we introduce a medium term in
the splitting probabilities so that both medium and vacuum contributions are
included on the same footing in a DGLAP approach. The improvements include
energy-momentum conservation at each individual splitting, medium-modified
virtuality evolution and a coherent implementation of vacuum and medium
splitting probabilities. Noticeably, the usual formalism is recovered when the
virtuality and the energy of the parton are very large. This leads to a similar
description of the suppression observed in heavy-ion collisions with values of
the transport coefficient of the same order as those obtained using the {\it
quenching weights}.
| hep-ph | mediuminduced gluon radiation is usually identified as the dominant dynamical mechanism underling the it jet quenching phenomenon observed in heavyion collisions in its actual implementation multiple mediuminduced gluon emissions are assumed to be independent leading in the eikonal approximation to a poisson distribution here we introduce a medium term in the splitting probabilities so that both medium and vacuum contributions are included on the same footing in a dglap approach the improvements include energymomentum conservation at each individual splitting mediummodified virtuality evolution and a coherent implementation of vacuum and medium splitting probabilities noticeably the usual formalism is recovered when the virtuality and the energy of the parton are very large this leads to a similar description of the suppression observed in heavyion collisions with values of the transport coefficient of the same order as those obtained using the it quenching weights | [['mediuminduced', 'gluon', 'radiation', 'is', 'usually', 'identified', 'as', 'the', 'dominant', 'dynamical', 'mechanism', 'underling', 'the', 'it', 'jet', 'quenching', 'phenomenon', 'observed', 'in', 'heavyion', 'collisions', 'in', 'its', 'actual', 'implementation', 'multiple', 'mediuminduced', 'gluon', 'emissions', 'are', 'assumed', 'to', 'be', 'independent', 'leading', 'in', 'the', 'eikonal', 'approximation', 'to', 'a', 'poisson', 'distribution', 'here', 'we', 'introduce', 'a', 'medium', 'term', 'in', 'the', 'splitting', 'probabilities', 'so', 'that', 'both', 'medium', 'and', 'vacuum', 'contributions', 'are', 'included', 'on', 'the', 'same', 'footing', 'in', 'a', 'dglap', 'approach', 'the', 'improvements', 'include', 'energymomentum', 'conservation', 'at', 'each', 'individual', 'splitting', 'mediummodified', 'virtuality', 'evolution', 'and', 'a', 'coherent', 'implementation', 'of', 'vacuum', 'and', 'medium', 'splitting', 'probabilities', 'noticeably', 'the', 'usual', 'formalism', 'is', 'recovered', 'when', 'the', 'virtuality', 'and', 'the', 'energy', 'of', 'the', 'parton', 'are', 'very', 'large', 'this', 'leads', 'to', 'a', 'similar', 'description', 'of', 'the', 'suppression', 'observed', 'in', 'heavyion', 'collisions', 'with', 'values', 'of', 'the', 'transport', 'coefficient', 'of', 'the', 'same', 'order', 'as', 'those', 'obtained', 'using', 'the', 'it', 'quenching', 'weights']] | [-0.10307924796708245, 0.19803272821801773, -0.16888163785337873, 0.1601802126664655, -0.046708545720217924, -0.037583083836592944, -0.03288815263906454, 0.3851338029238032, -0.2375548816854068, -0.2622993424343249, -0.02090019648333232, -0.2572849281198272, -0.014811908981452385, 0.09756217534977493, 0.038876413618683395, 0.04201697833154512, 0.06776370659077553, -0.00564744900779944, -0.018498160200959717, -0.1923387224748004, 0.35675361483020984, 0.09535537879019877, 0.2764766490968697, 0.11773249004300393, 0.10359205017241993, 0.03293802639542161, -0.038699706943692465, -0.0027554660130635644, -0.07005193717440249, 0.026899794245829, 0.24256724997502851, 0.026576694598492046, 0.20544524202519593, -0.38391738168313994, -0.1810589615414117, 0.057604631585736116, 0.1384966812455277, 0.1435028856375803, -0.023621663511466526, -0.21893837901347496, 0.04218866733061348, -0.2485335398306872, -0.14295833531258537, -0.04505754198799742, -0.04587213822197935, 0.006399511154873152, -0.30119542448272835, 0.09571740360838091, 0.012485678133295505, -0.031591793769930904, -0.03480403878022619, -0.15801627536020274, -0.05770347277462112, 0.0650065332010854, 0.0819332557532223, 0.06599387597682364, 0.17532044343967387, -0.1794093790569785, -0.10680976240558827, 0.43857147333258434, -0.031068005240753503, -0.1775940703429366, 0.14133390915210206, -0.2000210887045725, -0.1021626384314546, 0.17487551208175983, 0.16576986621853942, 0.11296197526294784, -0.18369552259820973, 0.03831534670725306, 0.013111148432478414, 0.1114695704152398, 0.08968230096147732, 0.11247295617779836, 0.1445866107795361, 0.13110361968708747, -0.03511995893856841, 0.09621846886493715, -0.05988303154000207, -0.14774248434696347, -0.37344556914498794, -0.07561357013849936, -0.14555583722519536, 0.0831526383321653, -0.10957920411890637, -0.13944883113446255, 0.3622007963399515, 0.12231900107036246, 0.2367529482778875, 0.0019817544570100223, 0.3563922435137714, 0.16951215319196752, 0.07746743499004144, 0.09228176711430998, 0.26683562918704873, 0.16570166479928275, 0.1650596177444879, -0.28446382236277273, 0.08484266813289612, 0.062452317734004545] |
710.3074 | Reducing the spectral index in F-term hybrid inflation | We consider a class of well motivated supersymmetric models of F-term hybrid
inflation (FHI) which can be linked to the supersymmetric grand unification.
The predicted scalar spectral index n_s cannot be smaller than 0.97 and can
exceed unity including corrections from minimal supergravity, if the number of
e-foldings corresponding to the pivot scale k_*=0.002/Mpc is around 50. These
results are marginally consistent with the fitting of the three-year Wilkinson
microwave anisotropy probe data by the standard power-law cosmological model
with cold dark matter and a cosmological constant. However, n_s can be reduced
by applying two mechanisms: (i) The utilization of a quasi-canonical Kahler
potential with a convenient choice of a sign and (ii) the restriction of the
number of e-foldings that k_* suffered during FHI. In the case (i), we
investigate the possible reduction of n_s without generating maxima and minima
of the potential on the inflationary path. In the case (ii), the additional
e-foldings required for solving the horizon and flatness problems can be
generated by a subsequent stage of fast-roll [slow-roll] modular inflation
realized by a string modulus which does [does not] acquire effective mass
before the onset of modular inflation.
| hep-ph | we consider a class of well motivated supersymmetric models of fterm hybrid inflation fhi which can be linked to the supersymmetric grand unification the predicted scalar spectral index n_s cannot be smaller than 097 and can exceed unity including corrections from minimal supergravity if the number of efoldings corresponding to the pivot scale k_0002mpc is around 50 these results are marginally consistent with the fitting of the threeyear wilkinson microwave anisotropy probe data by the standard powerlaw cosmological model with cold dark matter and a cosmological constant however n_s can be reduced by applying two mechanisms i the utilization of a quasicanonical kahler potential with a convenient choice of a sign and ii the restriction of the number of efoldings that k_ suffered during fhi in the case i we investigate the possible reduction of n_s without generating maxima and minima of the potential on the inflationary path in the case ii the additional efoldings required for solving the horizon and flatness problems can be generated by a subsequent stage of fastroll slowroll modular inflation realized by a string modulus which does does not acquire effective mass before the onset of modular inflation | [['we', 'consider', 'a', 'class', 'of', 'well', 'motivated', 'supersymmetric', 'models', 'of', 'fterm', 'hybrid', 'inflation', 'fhi', 'which', 'can', 'be', 'linked', 'to', 'the', 'supersymmetric', 'grand', 'unification', 'the', 'predicted', 'scalar', 'spectral', 'index', 'n_s', 'can', 'not', 'be', 'smaller', 'than', '097', 'and', 'can', 'exceed', 'unity', 'including', 'corrections', 'from', 'minimal', 'supergravity', 'if', 'the', 'number', 'of', 'efoldings', 'corresponding', 'to', 'the', 'pivot', 'scale', 'k_0002mpc', 'is', 'around', '50', 'these', 'results', 'are', 'marginally', 'consistent', 'with', 'the', 'fitting', 'of', 'the', 'threeyear', 'wilkinson', 'microwave', 'anisotropy', 'probe', 'data', 'by', 'the', 'standard', 'powerlaw', 'cosmological', 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710.3075 | Small-Scale Structure of Spacetime: Bounds and Conjectures | This review consists of two parts. The first part establishes certain
astrophysical bounds on the smoothness of classical spacetime. Some of the best
bounds to date are based on the absence of vacuum Cherenkov radiation in
ultrahigh-energy cosmic rays. The second part discusses possible implications
of these bounds for the quantum structure of spacetime. One conjecture is that
the fundamental length scale of quantum spacetime may be different from the
Planck length.
| hep-ph | this review consists of two parts the first part establishes certain astrophysical bounds on the smoothness of classical spacetime some of the best bounds to date are based on the absence of vacuum cherenkov radiation in ultrahighenergy cosmic rays the second part discusses possible implications of these bounds for the quantum structure of spacetime one conjecture is that the fundamental length scale of quantum spacetime may be different from the planck length | [['this', 'review', 'consists', 'of', 'two', 'parts', 'the', 'first', 'part', 'establishes', 'certain', 'astrophysical', 'bounds', 'on', 'the', 'smoothness', 'of', 'classical', 'spacetime', 'some', 'of', 'the', 'best', 'bounds', 'to', 'date', 'are', 'based', 'on', 'the', 'absence', 'of', 'vacuum', 'cherenkov', 'radiation', 'in', 'ultrahighenergy', 'cosmic', 'rays', 'the', 'second', 'part', 'discusses', 'possible', 'implications', 'of', 'these', 'bounds', 'for', 'the', 'quantum', 'structure', 'of', 'spacetime', 'one', 'conjecture', 'is', 'that', 'the', 'fundamental', 'length', 'scale', 'of', 'quantum', 'spacetime', 'may', 'be', 'different', 'from', 'the', 'planck', 'length']] | [-0.1614674882665794, 0.18087058586792815, -0.050806740544632904, 0.1047914849801196, -0.10935830454885338, -0.039980589324841276, -0.049796813833785966, 0.26992667480630594, -0.2408961486330049, -0.29921685304078793, 0.09490699194591595, -0.2592867875905035, -0.10211194166266876, 0.2618412367430412, -0.0255094098392874, 0.054773798173603915, 0.0010097789604009853, 0.04990453822150206, -0.04156390424678749, -0.2814038608517472, 0.3884744675920552, 0.12610118614651988, 0.2561885009700846, 0.10420675547276106, 0.09593945767523514, -0.04788703381200321, -0.09744950170473506, -0.06064537818181432, -0.15514909443754732, 0.13226498899166472, 0.2035696588961097, 0.1346905813875815, 0.2065713904287097, -0.4276939091796521, -0.2161550547364944, 0.1119099677954283, 0.08943420545094544, 0.12051130669553661, -0.01954413995392517, -0.2850786249263264, 0.08285693266791189, -0.07887702874399515, -0.14292408023740993, 0.04806112379042639, -0.025412775576114655, -0.010128332851713317, -0.16312173053948856, 0.06236047299009644, 0.06826953184402858, -0.00022629772461692078, -0.08173128472278929, -0.1430132999796317, 0.07332280816950111, 0.13424372096132073, 0.1019717634416237, -0.027857673522602353, 0.1174806291431499, -0.1236301160178199, -0.15661980506653586, 0.40223874694978196, -0.06812595613559501, -0.14873423474879624, 0.1516381731910062, -0.19272786144736326, -0.17639635450258437, 0.10966492900883572, 0.13659101168418097, 0.10104725961314721, -0.1402454486047241, 0.17455573032040977, -0.03732728127700587, 0.15954939971884918, 0.13074297670714763, 0.11254247362699567, 0.2581045840634033, 0.1392524308887207, 0.09820336034883642, 0.1371826796465838, -0.10329461682380901, -0.08746096760943248, -0.41930016480101684, -0.1667758694642948, -0.2132939150194741, 0.09486331654867779, -0.15637850559627017, -0.1620387670975308, 0.3791110065455238, 0.16076498805664918, 0.15873519791704085, 0.026481958132030234, 0.30171917616907096, 0.030747358557871647, 0.0016828786530014542, 0.06358385428191266, 0.3223611202835552, 0.1263639023042439, 0.0601797273201454, -0.1952705647244228, 0.060921282015947834, 0.11904812292454557] |
710.3076 | The Chemical Enrichment History of the Large Magellanic Cloud | Ca II triplet spectroscopy has been used to derive stellar metallicities for
individual stars in four LMC fields situated at galactocentric distances of
3\arcdeg, 5\arcdeg, 6\arcdeg\@ and 8\arcdeg\@ to the north of the Bar. Observed
metallicity distributions show a well defined peak, with a tail toward low
metallicities. The mean metallicity remains constant until 6\arcdeg\@
([Fe/H]$\sim$-0.5 dex), while for the outermost field, at 8\arcdeg, the mean
metallicity is substantially lower than in the rest of the disk
([Fe/H]$\sim$-0.8 dex). The combination of spectroscopy with deep CCD
photometry has allowed us to break the RGB age--metallicity degeneracy and
compute the ages for the objects observed spectroscopically. The obtained
age--metallicity relationships for our four fields are statistically
indistinguishable. We conclude that the lower mean metallicity in the outermost
field is a consequence of it having a lower fraction of intermediate-age stars,
which are more metal-rich than the older stars. The disk age--metallicity
relationship is similar to that for clusters. However, the lack of objects with
ages between 3 and 10 Gyr is not observed in the field population. Finally, we
used data from the literature to derive consistently the age--metallicity
relationship of the bar. Simple chemical evolution models have been used to
reproduce the observed age--metallicity relationships with the purpose of
investigating which mechanism has participated in the evolution of the disk and
bar. We find that while the disk age--metallicity relationship is well
reproduced by close-box models or models with a small degree of outflow, that
of the bar is only reproduced by models with combination of infall and outflow.
| astro-ph | ca ii triplet spectroscopy has been used to derive stellar metallicities for individual stars in four lmc fields situated at galactocentric distances of 3arcdeg 5arcdeg 6arcdeg and 8arcdeg to the north of the bar observed metallicity distributions show a well defined peak with a tail toward low metallicities the mean metallicity remains constant until 6arcdeg fehsim05 dex while for the outermost field at 8arcdeg the mean metallicity is substantially lower than in the rest of the disk fehsim08 dex the combination of spectroscopy with deep ccd photometry has allowed us to break the rgb agemetallicity degeneracy and compute the ages for the objects observed spectroscopically the obtained agemetallicity relationships for our four fields are statistically indistinguishable we conclude that the lower mean metallicity in the outermost field is a consequence of it having a lower fraction of intermediateage stars which are more metalrich than the older stars the disk agemetallicity relationship is similar to that for clusters however the lack of objects with ages between 3 and 10 gyr is not observed in the field population finally we used data from the literature to derive consistently the agemetallicity relationship of the bar simple chemical evolution models have been used to reproduce the observed agemetallicity relationships with the purpose of investigating which mechanism has participated in the evolution of the disk and bar we find that while the disk agemetallicity relationship is well reproduced by closebox models or models with a small degree of outflow that of the bar is only reproduced by models with combination of infall and outflow | [['ca', 'ii', 'triplet', 'spectroscopy', 'has', 'been', 'used', 'to', 'derive', 'stellar', 'metallicities', 'for', 'individual', 'stars', 'in', 'four', 'lmc', 'fields', 'situated', 'at', 'galactocentric', 'distances', 'of', '3arcdeg', '5arcdeg', '6arcdeg', 'and', '8arcdeg', 'to', 'the', 'north', 'of', 'the', 'bar', 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710.3077 | Aspects of Predicative Algebraic Set Theory I: Exact Completion | This is the first in a series of three papers on Algebraic Set Theory. Its
main purpose is to lay the necessary groundwork for the next two parts, one on
Realisability and the other on Sheaf Models in Algebraic Set Theory.
| math.LO math.CT | this is the first in a series of three papers on algebraic set theory its main purpose is to lay the necessary groundwork for the next two parts one on realisability and the other on sheaf models in algebraic set theory | [['this', 'is', 'the', 'first', 'in', 'a', 'series', 'of', 'three', 'papers', 'on', 'algebraic', 'set', 'theory', 'its', 'main', 'purpose', 'is', 'to', 'lay', 'the', 'necessary', 'groundwork', 'for', 'the', 'next', 'two', 'parts', 'one', 'on', 'realisability', 'and', 'the', 'other', 'on', 'sheaf', 'models', 'in', 'algebraic', 'set', 'theory']] | [-0.13580275656337418, -0.01166085281023165, -0.10062918603056814, 0.06523203846669143, -0.08051957058288702, -0.07123219796524542, 0.013786154469793163, 0.2924742012670854, -0.28305460567154533, -0.22180477034573148, 0.12875769377640653, -0.2752189814771821, -0.15156589223571668, 0.2495774844797646, -0.05916671875137382, 0.034054664779942845, 0.0019641456126076417, 0.10959380162062078, -0.031115683795111936, -0.31337598940675576, 0.4318846622481942, -0.03938507820229705, 0.25100319299324436, 0.05713486085395988, 0.06495096473159587, -0.017510038482525, -0.08125670206528611, -0.035320456639477395, -0.10811424150881244, 0.20253370443313587, 0.28057316809201616, 0.13886199095400004, 0.31863432977257705, -0.48433543696272663, -0.1306660304118584, 0.059718330379393766, 0.07197128708769636, 0.09603868020562137, 0.0478914559324749, -0.20650028864421496, 0.09957053246567162, -0.13541962624323078, -0.10515652322096795, -0.08122685831040144, 0.056693272165408946, -0.023284697087436187, -0.18651929443202367, -0.05837451441713223, 0.06158887322356061, 0.11645350698381662, -0.09013391939480221, -0.12121017276672874, 0.04171803576599171, 0.11637277023230748, -0.007737471642563256, 0.03227901036237798, 0.06379484476112737, -0.07430487298179508, -0.12523068560332787, 0.39409221563397384, -0.045668593812279584, -0.2211413442543367, 0.19521466101996782, -0.1387521255840888, -0.24886792543821218, 0.02347441803573108, 0.1398954269726102, 0.14416540191486116, -0.12648566664628139, 0.10650082498010839, -0.06322644223890654, 0.09821397563578879, 0.019762811898367434, -0.017645344501588403, 0.21994651679131316, 0.20974824902397105, 0.0404918367187237, 0.10484918715892269, -0.009180984261059543, -0.0919633885482099, -0.4270277877406376, -0.181310755564127, -0.1406361049540886, 0.03755979580668414, -0.041068116441104995, -0.14102662000350835, 0.48867516701177854, 0.1681404771146978, 0.14707969910487895, 0.08293664250977156, 0.3303097522840267, 0.06620209590353003, 0.006750811697778906, -0.023324123333867002, 0.19668837557206068, 0.18427077390071822, 0.05072772615339335, -0.10894999973385072, 0.026732371926943704, 0.18359539798665336] |
710.3078 | Multivariable Wilson polynomials and degenerate Hecke algebras | We study a rational version of the double affine Hecke algebra associated to
the nonreduced affine root system of type $(C^\vee_n,C_n)$. A certain
representation in terms of difference-reflection operators naturally leads to
the definition of nonsymmetric versions of the multivariable Wilson
polynomials. Using the degenerate Hecke algebra we derive several properties,
such as orthogonality relations and quadratic norms, for the nonsymmetric and
symmetric multivariable Wilson polynomials.
| math.RT math.CA | we study a rational version of the double affine hecke algebra associated to the nonreduced affine root system of type cvee_nc_n a certain representation in terms of differencereflection operators naturally leads to the definition of nonsymmetric versions of the multivariable wilson polynomials using the degenerate hecke algebra we derive several properties such as orthogonality relations and quadratic norms for the nonsymmetric and symmetric multivariable wilson polynomials | [['we', 'study', 'a', 'rational', 'version', 'of', 'the', 'double', 'affine', 'hecke', 'algebra', 'associated', 'to', 'the', 'nonreduced', 'affine', 'root', 'system', 'of', 'type', 'cvee_nc_n', 'a', 'certain', 'representation', 'in', 'terms', 'of', 'differencereflection', 'operators', 'naturally', 'leads', 'to', 'the', 'definition', 'of', 'nonsymmetric', 'versions', 'of', 'the', 'multivariable', 'wilson', 'polynomials', 'using', 'the', 'degenerate', 'hecke', 'algebra', 'we', 'derive', 'several', 'properties', 'such', 'as', 'orthogonality', 'relations', 'and', 'quadratic', 'norms', 'for', 'the', 'nonsymmetric', 'and', 'symmetric', 'multivariable', 'wilson', 'polynomials']] | [-0.1863650032534049, 0.04472729181154416, -0.07541242602209632, 0.09382359365431162, -0.13618183510306364, -0.15911918278210438, -0.04634076840280054, 0.25879792005468444, -0.39097110588605016, -0.14659642124405273, 0.13500606612024757, -0.21941636605904652, -0.23313401123652092, 0.19442415995738255, -0.15245704764786822, 0.036302584810898854, 0.044946540863468096, 0.08318154257005797, -0.23598781646444247, -0.2535620396813521, 0.4438148678495334, 0.007934575470594259, 0.19947637502963728, 0.007367007835553243, 0.09556135115428613, 0.058420489316519636, -0.03260359544163713, -0.08683140547229694, -0.08807246932186759, 0.1717830645815971, 0.2828015890366469, 0.04801763932292278, 0.20685908662585112, -0.3398401993398483, -0.026091055453826603, 0.2151672031587133, 0.1826944190247629, -0.011388899729802058, 0.02650528482089822, -0.2607741000560614, -0.016869707274823807, -0.2524341413607964, -0.23592440207990317, -0.101050125180672, -0.02993734089227823, 0.0610655965247693, -0.313654442389424, 0.035848532380679476, 0.08104745914729741, 0.15621164621642003, -0.0928560432476493, -0.14638573368832183, -0.03136853971160375, 0.010668710955920127, -0.05603760229423642, -0.04439306566849924, 0.06608739046809765, -0.08649233794914415, -0.1828000443486067, 0.3650761973972504, -0.030292545957490803, -0.280958100895469, 0.10371778005949006, -0.1782878892352948, -0.1819635316120604, 0.038136140705543, 0.13700830629095434, 0.08101399765851405, -0.05784283091242497, 0.17672593533240546, -0.15017033490137413, -0.007144937032045653, 0.1377786619015611, 0.04463618198552957, 0.13482802928640292, -0.05288038808279313, 0.03759643266407343, 0.19421977651520417, 0.06602526292688428, -0.15801319406869319, -0.36879962648336706, -0.20523206882465345, -0.06471816854049953, 0.08958812876640318, -0.18665430923305953, -0.2460772030055523, 0.4362515996281917, 0.050538800628139424, 0.1632268039509654, 0.1472533156378911, 0.14049979895353318, 0.1923093141683449, 0.1446303195821551, -0.018153158757978908, 0.08187952640538032, 0.30033920547710014, 0.040915049340289375, -0.2157597939985303, -0.04762647794917799, 0.30146651351108] |
710.3079 | Fedosov Quantization of Lagrange-Finsler and Hamilton-Cartan Spaces and
Einstein Gravity Lifts on (Co) Tangent Bundles | We provide a method of converting Lagrange and Finsler spaces and their
Legendre transforms to Hamilton and Cartan spaces into almost Kaehler
structures on tangent and cotangent bundles. In particular cases, the Hamilton
spaces contain nonholonomic lifts of (pseudo) Riemannian / Einstein metrics on
effective phase spaces. This allows us to define the corresponding Fedosov
operators and develop deformation quantization schemes for nonlinear mechanical
and gravity models on Lagrange- and Hamilton-Fedosov manifolds.
| math-ph gr-qc hep-th math.MP quant-ph | we provide a method of converting lagrange and finsler spaces and their legendre transforms to hamilton and cartan spaces into almost kaehler structures on tangent and cotangent bundles in particular cases the hamilton spaces contain nonholonomic lifts of pseudo riemannian einstein metrics on effective phase spaces this allows us to define the corresponding fedosov operators and develop deformation quantization schemes for nonlinear mechanical and gravity models on lagrange and hamiltonfedosov manifolds | [['we', 'provide', 'a', 'method', 'of', 'converting', 'lagrange', 'and', 'finsler', 'spaces', 'and', 'their', 'legendre', 'transforms', 'to', 'hamilton', 'and', 'cartan', 'spaces', 'into', 'almost', 'kaehler', 'structures', 'on', 'tangent', 'and', 'cotangent', 'bundles', 'in', 'particular', 'cases', 'the', 'hamilton', 'spaces', 'contain', 'nonholonomic', 'lifts', 'of', 'pseudo', 'riemannian', 'einstein', 'metrics', 'on', 'effective', 'phase', 'spaces', 'this', 'allows', 'us', 'to', 'define', 'the', 'corresponding', 'fedosov', 'operators', 'and', 'develop', 'deformation', 'quantization', 'schemes', 'for', 'nonlinear', 'mechanical', 'and', 'gravity', 'models', 'on', 'lagrange', 'and', 'hamiltonfedosov', 'manifolds']] | [-0.17634400590988142, 0.04388873637071811, -0.10818431944187198, 0.14817314843946536, -0.1880124213406816, -0.15350450565373258, -0.06464465682261757, 0.38015427190278256, -0.2606695412591632, -0.2197542184431638, 0.09639170496292146, -0.22507352177407094, -0.22071555207616517, 0.16463353699738426, -0.18768798994964786, 0.057141415641776154, 0.06441683286767719, 0.04559259678540652, -0.2129403581377119, -0.25560710979625584, 0.5051541168774877, 0.01334869339396911, 0.2148872513689899, 0.006186707517398255, 0.22714764664914192, 0.01142720644628363, 0.004790067978735481, 0.001506428578717792, -0.17617519006931356, 0.15135171257591407, 0.23710964976245513, 0.04987772461692137, 0.18753335630255086, -0.41515465090716525, -0.17432741640119015, 0.1649001954788608, 0.0918327592845474, -0.014066069440117904, 0.045370280424997744, -0.3325522332319191, -0.008814578636416368, -0.0647632739639708, -0.09571144627407194, -0.23015625881297247, -0.007283046252892486, -0.01674082500727049, -0.21999932097969577, -0.023771697111910076, 0.09396462745166251, 0.0590184422342905, -0.18587222607623385, -0.09117118701604861, -0.0847984435968101, 0.035594866471365096, -0.02913994754531554, 0.028726579451800457, 0.13124456063045986, 0.03905592209609624, -0.11542606311185019, 0.42236891697560036, -0.044095936909850156, -0.370082550868392, 0.0705739719061447, -0.07664611185235637, -0.16712279358346546, 0.08027794379740953, 0.19310244497443949, 0.17539424683366503, -0.046281032995986085, 0.16189161416758516, 0.040427764897633875, 0.0002692654196705137, 0.1475414731938924, 0.03166072376604591, 0.1484423223018114, 0.04357920685184321, 0.14801575275237805, 0.09585751571160342, 0.0185113697678649, -0.13619938400640552, -0.3364249745649951, -0.26072800452155726, -0.05782755284703204, 0.15169605056622198, -0.17161626739814112, -0.21816011869149016, 0.41062464910958496, 0.01773091855325869, 0.12470195648659553, 0.13651632300045874, 0.21356187700626572, 0.05217851970727289, 0.06679181269968727, 0.06632874352591378, 0.24287603607268204, 0.3270366211820926, 0.10053913422660636, -0.12696433191054635, -0.16238938733669264, 0.25741519024928233] |
710.308 | String instantons, fluxes and moduli stabilization | We analyze a class of dual pairs of heterotic and type I models based on
freely-acting $\mathbb{Z}_2 \times \mathbb{Z}_2$ orbifolds in four dimensions.
Using the adiabatic argument, it is possible to calculate non-perturbative
contributions to the gauge coupling threshold corrections on the type I side by
exploiting perturbative calculations on the heterotic side, without the
drawbacks due to twisted moduli. The instanton effects can then be combined
with closed-string fluxes to stabilize most of the moduli fields of the
internal manifold, and also the dilaton, in a racetrack realization of the type
I model.
| hep-th | we analyze a class of dual pairs of heterotic and type i models based on freelyacting mathbbz_2 times mathbbz_2 orbifolds in four dimensions using the adiabatic argument it is possible to calculate nonperturbative contributions to the gauge coupling threshold corrections on the type i side by exploiting perturbative calculations on the heterotic side without the drawbacks due to twisted moduli the instanton effects can then be combined with closedstring fluxes to stabilize most of the moduli fields of the internal manifold and also the dilaton in a racetrack realization of the type i model | [['we', 'analyze', 'a', 'class', 'of', 'dual', 'pairs', 'of', 'heterotic', 'and', 'type', 'i', 'models', 'based', 'on', 'freelyacting', 'mathbbz_2', 'times', 'mathbbz_2', 'orbifolds', 'in', 'four', 'dimensions', 'using', 'the', 'adiabatic', 'argument', 'it', 'is', 'possible', 'to', 'calculate', 'nonperturbative', 'contributions', 'to', 'the', 'gauge', 'coupling', 'threshold', 'corrections', 'on', 'the', 'type', 'i', 'side', 'by', 'exploiting', 'perturbative', 'calculations', 'on', 'the', 'heterotic', 'side', 'without', 'the', 'drawbacks', 'due', 'to', 'twisted', 'moduli', 'the', 'instanton', 'effects', 'can', 'then', 'be', 'combined', 'with', 'closedstring', 'fluxes', 'to', 'stabilize', 'most', 'of', 'the', 'moduli', 'fields', 'of', 'the', 'internal', 'manifold', 'and', 'also', 'the', 'dilaton', 'in', 'a', 'racetrack', 'realization', 'of', 'the', 'type', 'i', 'model']] | [-0.12984781386826108, 0.14201846067853113, -0.06132758671338571, 0.10313342622248456, -0.11988951160790438, -0.17395909208844, 0.038633462279400926, 0.33007808307066877, -0.20772118189377076, -0.23163759315069368, 0.11369435817617526, -0.251946068215283, -0.12509027111562007, 0.13315895790769222, -0.07902697327130652, -0.039819306504486646, -0.035078860992724274, 0.013210610947274465, -0.11097068789457169, -0.2779705349450059, 0.39662482693513973, -0.004057541648124127, 0.2894333870883318, 0.07878872758629633, 0.07657649262035464, -0.043640698293877886, -0.01368344755486605, 0.003089635454593821, -0.134923990370032, 0.11433221535271708, 0.1734084728206189, -0.004291963500981318, 0.0983418359599532, -0.47383705992251635, -0.19896335179541022, 0.10837965063314806, 0.12847613185109136, 0.1569375768848794, 0.009988100427708172, -0.2749024528237258, 0.08276127384569337, -0.17687962949771355, -0.13068096404226417, -0.08982916333851346, 0.007628651380420048, -0.0396972908440264, -0.23866766219354293, -0.002103036435808927, -0.009305582539069447, 0.003581241191104129, -0.05199841106498733, -0.08915446886168595, -0.08276524368742917, 0.05221645672250777, 0.13249320557286487, 0.028597770199338172, 0.11490531666377718, -0.2099593647141406, -0.16656286754903007, 0.3683868429048898, -0.08718609351149582, -0.22646382274948298, 0.13067374164189033, -0.06394607024861777, -0.15861077364930448, 0.1141467382809385, 0.11666912839381381, 0.16011035556321657, -0.06105894354627805, 0.18209268024780767, 0.027849631884353274, 0.14418805680891617, 0.04691165446878431, 0.04949601311137543, 0.21687961330122135, 0.10191458056958273, 0.0043334526336811325, 0.11900017403705204, -0.09455595525387833, -0.1381358990967125, -0.42810193899067794, -0.12025484123187972, -0.10985907729952893, 0.1594034659322054, -0.11274883724183112, -0.1438396037655308, 0.41990461466001705, 0.12411720748059452, 0.19211555289679227, 0.029796855662889938, 0.22647739405882486, 0.07895062516066939, 0.1048155046350501, 0.01507583464139161, 0.2361277456177359, 0.15632972955713642, 0.01257624454360376, -0.27200021703747357, -0.10064648250439898, 0.20433976369578036] |
710.3081 | Analyzing the effects of surface distribution of pores in cell
electroporation for a cell membrane containing cholesterol | This paper presents a model and numerical analysis (simulations) of
transmembrane potential induced in biological cell membrane under the influence
of externally applied electric field (i.e., electroporation). This model
differs from the established models of electroporation in two distinct ways.
Firstly, it incorporates the presence of cholesterol (~20% mole-fraction) in
biological membrane. Secondly, it considers the distribution of pores as a
function of the variation of transmembrane potential from one region of the
cell to another. Formulation is based on the role of membrane tension and
electrical forces in the formation of pores in a cell membrane, which is
considered as an infinitesimally thin insulator. The model has been used to
explore the process of creation and evolution of pores and to determine the
number and size of pores as a function of applied electric field (magnitude and
duration). Results show that the presence of cholesterol enhances poration by
changing the membrane tension. Analyses indicate that the number of pores and
average pore radii differ significantly from one part of the cell to the other.
While some regions of the cell membrane undergo rapid and dense poration,
others remain unaffected. The method can be a useful tool for a more realistic
prediction of pore formation in cells subjected to electroporation.
| physics.bio-ph | this paper presents a model and numerical analysis simulations of transmembrane potential induced in biological cell membrane under the influence of externally applied electric field ie electroporation this model differs from the established models of electroporation in two distinct ways firstly it incorporates the presence of cholesterol 20 molefraction in biological membrane secondly it considers the distribution of pores as a function of the variation of transmembrane potential from one region of the cell to another formulation is based on the role of membrane tension and electrical forces in the formation of pores in a cell membrane which is considered as an infinitesimally thin insulator the model has been used to explore the process of creation and evolution of pores and to determine the number and size of pores as a function of applied electric field magnitude and duration results show that the presence of cholesterol enhances poration by changing the membrane tension analyses indicate that the number of pores and average pore radii differ significantly from one part of the cell to the other while some regions of the cell membrane undergo rapid and dense poration others remain unaffected the method can be a useful tool for a more realistic prediction of pore formation in cells subjected to electroporation | [['this', 'paper', 'presents', 'a', 'model', 'and', 'numerical', 'analysis', 'simulations', 'of', 'transmembrane', 'potential', 'induced', 'in', 'biological', 'cell', 'membrane', 'under', 'the', 'influence', 'of', 'externally', 'applied', 'electric', 'field', 'ie', 'electroporation', 'this', 'model', 'differs', 'from', 'the', 'established', 'models', 'of', 'electroporation', 'in', 'two', 'distinct', 'ways', 'firstly', 'it', 'incorporates', 'the', 'presence', 'of', 'cholesterol', '20', 'molefraction', 'in', 'biological', 'membrane', 'secondly', 'it', 'considers', 'the', 'distribution', 'of', 'pores', 'as', 'a', 'function', 'of', 'the', 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710.3082 | Knot Concordance and Higher-Order Blanchfield Duality | In 1997, T. Cochran, K. Orr, and P. Teichner defined a filtration {F_n} of
the classical knot concordance group C. The filtration is important because of
its strong connection to the classification of topological 4-manifolds. Here we
introduce new techniques for studying C and use them to prove that, for each
natural number n, the abelian group F_n/F_{n.5} has infinite rank. We establish
the same result for the corresponding filtration of the smooth concordance
group. We also resolve a long-standing question as to whether certain natural
families of knots, first considered by Casson-Gordon and Gilmer, contain slice
knots.
| math.GT math.AT | in 1997 t cochran k orr and p teichner defined a filtration f_n of the classical knot concordance group c the filtration is important because of its strong connection to the classification of topological 4manifolds here we introduce new techniques for studying c and use them to prove that for each natural number n the abelian group f_nf_n5 has infinite rank we establish the same result for the corresponding filtration of the smooth concordance group we also resolve a longstanding question as to whether certain natural families of knots first considered by cassongordon and gilmer contain slice knots | [['in', '1997', 't', 'cochran', 'k', 'orr', 'and', 'p', 'teichner', 'defined', 'a', 'filtration', 'f_n', 'of', 'the', 'classical', 'knot', 'concordance', 'group', 'c', 'the', 'filtration', 'is', 'important', 'because', 'of', 'its', 'strong', 'connection', 'to', 'the', 'classification', 'of', 'topological', '4manifolds', 'here', 'we', 'introduce', 'new', 'techniques', 'for', 'studying', 'c', 'and', 'use', 'them', 'to', 'prove', 'that', 'for', 'each', 'natural', 'number', 'n', 'the', 'abelian', 'group', 'f_nf_n5', 'has', 'infinite', 'rank', 'we', 'establish', 'the', 'same', 'result', 'for', 'the', 'corresponding', 'filtration', 'of', 'the', 'smooth', 'concordance', 'group', 'we', 'also', 'resolve', 'a', 'longstanding', 'question', 'as', 'to', 'whether', 'certain', 'natural', 'families', 'of', 'knots', 'first', 'considered', 'by', 'cassongordon', 'and', 'gilmer', 'contain', 'slice', 'knots']] | [-0.19392897698039913, 0.09364915315456195, -0.11183637257057186, 0.08482585449308651, -0.11403966005131298, -0.17579779427555597, 0.03587068535140431, 0.34508021854396376, -0.3330165334616084, -0.2846670142584005, 0.07088750692521584, -0.1846031756282841, -0.14507315233967513, 0.17536417100764454, -0.15324064144123423, 0.002831982234279074, 0.012327018274678563, 0.07073276959910836, -0.0330383260603709, -0.29922972848087703, 0.35586324194446206, -0.019488161491534234, 0.18445530886125125, 0.06204573856666684, 0.09188996026012096, -0.031018211653793756, -0.06790963466497785, 0.0005683650557255866, -0.22864568696574994, 0.12279334201534488, 0.272977581855898, 0.06366645198609984, 0.2036995917596683, -0.33364618316824945, -0.17380139069175538, 0.17847106310691, 0.11987553526913482, 0.0045283882835955944, -0.04356527452271584, -0.25291049220048045, 0.16103560533564615, -0.16910589771934462, -0.15520771202982916, -0.07856839272782815, 0.10173604410374537, -0.004679394063862915, -0.1690963674883111, 0.002802065585214854, 0.09720426446245033, 0.10427785231446733, 0.0012147748683655293, -0.10798685570076412, -0.03361294477493787, 0.14577986295715126, 0.05526337722953105, 0.08402371234070434, 0.059878370691356916, -0.12494915439177076, -0.16320977578585855, 0.37957235443766935, -0.10085877450183034, -0.1596892036364547, 0.19445287931368363, -0.13695957543499462, -0.23679984452164904, 0.13781422966549514, 0.04685754617509831, 0.13625471345748877, -0.015611241666638121, 0.1524984694462583, -0.16360471867100926, 0.08790990415656445, 0.12460142791233196, -0.028874921892788643, 0.11374534355780604, 0.07944544519734931, 0.08357828996163241, 0.1497882973516778, -0.007552236368777516, 0.01237252386457914, -0.3043927088455886, -0.2803063772200626, -0.12613974207993217, 0.12054514294319159, -0.0772543057547799, -0.17589100886478412, 0.3818432657874893, 0.05417232010311599, 0.19069349279209058, 0.11842693478743337, 0.20956369173922101, 0.02624304917978351, 0.021229863620591254, 0.0656519630230127, 0.07990685310238516, 0.2112223367035693, -0.049624784326903065, -0.14647788763858796, 0.014794466220559932, 0.20330348463814554] |
710.3083 | Electroweak radiative corrections to the three channels of the process
f_1 bar-f_1 ZA --> 0 | We have calculated the electroweak radiative corrections at the O(alpha)
level to the three channels of the process f_1 bar-f_1 Z A --> 0 and
implemented them into the SANC system. Here A stands for the photon and f_1 for
a first generation fermion whose mass is neglected everywhere except in
arguments of logarithmic functions. The symbol --> 0 means that 4-momenta of
all the external particles flow inwards. We present the complete analytical
results for the covariant and helicity amplitudes for three cross channels: f_1
+ bar-f_1 --> Z + gamma, Z --> f_1 + bar-f_1 + gamma and f_1 + gamma --> f_1 +
Z. The one-loop scalar form factors of these channels are simply related by an
appropriate permutation of their arguments s,t,u. To check the correctness of
our results we first of all observe the independence of the scalar form factors
on the gauge parameters and the validity of the Ward identity, i.e. external
photon transversality, and, secondly, compare our numerical results with the
other independent calculations available to us.
| hep-ph | we have calculated the electroweak radiative corrections at the oalpha level to the three channels of the process f_1 barf_1 z a 0 and implemented them into the sanc system here a stands for the photon and f_1 for a first generation fermion whose mass is neglected everywhere except in arguments of logarithmic functions the symbol 0 means that 4momenta of all the external particles flow inwards we present the complete analytical results for the covariant and helicity amplitudes for three cross channels f_1 barf_1 z gamma z f_1 barf_1 gamma and f_1 gamma f_1 z the oneloop scalar form factors of these channels are simply related by an appropriate permutation of their arguments stu to check the correctness of our results we first of all observe the independence of the scalar form factors on the gauge parameters and the validity of the ward identity ie external photon transversality and secondly compare our numerical results with the other independent calculations available to us | [['we', 'have', 'calculated', 'the', 'electroweak', 'radiative', 'corrections', 'at', 'the', 'oalpha', 'level', 'to', 'the', 'three', 'channels', 'of', 'the', 'process', 'f_1', 'barf_1', 'z', 'a', '0', 'and', 'implemented', 'them', 'into', 'the', 'sanc', 'system', 'here', 'a', 'stands', 'for', 'the', 'photon', 'and', 'f_1', 'for', 'a', 'first', 'generation', 'fermion', 'whose', 'mass', 'is', 'neglected', 'everywhere', 'except', 'in', 'arguments', 'of', 'logarithmic', 'functions', 'the', 'symbol', '0', 'means', 'that', '4momenta', 'of', 'all', 'the', 'external', 'particles', 'flow', 'inwards', 'we', 'present', 'the', 'complete', 'analytical', 'results', 'for', 'the', 'covariant', 'and', 'helicity', 'amplitudes', 'for', 'three', 'cross', 'channels', 'f_1', 'barf_1', 'z', 'gamma', 'z', 'f_1', 'barf_1', 'gamma', 'and', 'f_1', 'gamma', 'f_1', 'z', 'the', 'oneloop', 'scalar', 'form', 'factors', 'of', 'these', 'channels', 'are', 'simply', 'related', 'by', 'an', 'appropriate', 'permutation', 'of', 'their', 'arguments', 'stu', 'to', 'check', 'the', 'correctness', 'of', 'our', 'results', 'we', 'first', 'of', 'all', 'observe', 'the', 'independence', 'of', 'the', 'scalar', 'form', 'factors', 'on', 'the', 'gauge', 'parameters', 'and', 'the', 'validity', 'of', 'the', 'ward', 'identity', 'ie', 'external', 'photon', 'transversality', 'and', 'secondly', 'compare', 'our', 'numerical', 'results', 'with', 'the', 'other', 'independent', 'calculations', 'available', 'to', 'us']] | [-0.15256386420827364, 0.1515616266739139, -0.052684218385628215, 0.09161108157401657, -0.031040511242588237, -0.12088574795623773, 0.07338214892821895, 0.35564586659036346, -0.2184766516235137, -0.22443765325848858, 0.030481752807394447, -0.3032624832371627, -0.05811030734216143, 0.181223251935426, 0.08440244560447047, 0.078719446384148, 0.025485570971036983, 0.044191605775714196, -0.07295870464498697, -0.255296066309114, 0.34430400493263374, -0.016138804470834555, 0.21396770317713085, 0.061782047076813555, 0.0784445350869713, 0.014930274416092622, -0.06630206492192403, -0.08045149271724963, -0.16710146013212546, 0.06810579059268433, 0.18868400219097972, 0.08817621334087199, 0.17878572148002364, -0.35724685194850697, -0.11645073515785846, 0.0737201678138112, 0.1416633432171096, 0.047677331421227175, -0.007170383799164071, -0.2715303996132195, 0.11620916084863497, -0.17204428718431047, -0.1257847974118291, -0.08305179811385603, 0.000885493684834315, -0.0034193391326037834, -0.33685163927887296, 0.06784045387722232, 0.052806686212885784, 0.017653369111538524, -0.014913265001274462, -0.17932207635432437, -0.055010900966983085, 0.14910980016478778, 0.10139326371471798, 0.06932221894510279, 0.12377004211367125, -0.15804796396866097, -0.12880348933837804, 0.3686737861595705, -0.0893930633990894, -0.23821394352322342, 0.12193342188853154, -0.19184920569150452, -0.15867876705279335, 0.1294026390543676, 0.13638890269812357, 0.11083788467680769, -0.1377940306074323, 0.14293079569641545, -0.015344161296011937, 0.13589516005113125, 0.0811875287951913, 0.021406760339288074, 0.13831507768824788, 0.0414901829318949, -0.04507304734601839, 0.09671081295072678, -0.03758332742098862, -0.03722142511578791, -0.42353699657997473, -0.15935236904138064, -0.10223659979425188, 0.07881038323004781, -0.12484999416568145, -0.12135289777984466, 0.38336654549944527, 0.10786487492361317, 0.17966528481980956, 0.09218271931867612, 0.2951821184565707, 0.14896356396268529, 0.06978133980019098, 0.07348558655511474, 0.22425076468602007, 0.16674244375699457, 0.02564213630254809, -0.2177065510382773, 0.0015157595479666638, 0.05903926772276865] |
710.3084 | Casimir Forces between Compact Objects: I. The Scalar Case | We have developed an exact, general method to compute Casimir interactions
between a finite number of compact objects of arbitrary shape and separation.
Here, we present details of the method for a scalar field to illustrate our
approach in its most simple form; the generalization to electromagnetic fields
is outlined in Ref. [1]. The interaction between the objects is attributed to
quantum fluctuations of source distributions on their surfaces, which we
decompose in terms of multipoles. A functional integral over the effective
action of multipoles gives the resulting interaction. Each object's shape and
boundary conditions enter the effective action only through its scattering
matrix. Their relative positions enter through universal translation matrices
that depend only on field type and spatial dimension. The distinction of our
method from the pairwise summation of two-body potentials is elucidated in
terms of the scattering processes between three objects. To illustrate the
power of the technique, we consider Robin boundary conditions $\phi -\lambda
\partial_n \phi=0$, which interpolate between Dirichlet and Neumann cases as
$\lambda$ is varied. We obtain the interaction between two such spheres
analytically in a large separation expansion, and numerically for all
separations. The cases of unequal radii and unequal $\lambda$ are studied. We
find sign changes in the force as a function of separation in certain ranges of
$\lambda$ and see deviations from the proximity force approximation even at
short separations, most notably for Neumann boundary conditions.
| cond-mat.stat-mech | we have developed an exact general method to compute casimir interactions between a finite number of compact objects of arbitrary shape and separation here we present details of the method for a scalar field to illustrate our approach in its most simple form the generalization to electromagnetic fields is outlined in ref 1 the interaction between the objects is attributed to quantum fluctuations of source distributions on their surfaces which we decompose in terms of multipoles a functional integral over the effective action of multipoles gives the resulting interaction each objects shape and boundary conditions enter the effective action only through its scattering matrix their relative positions enter through universal translation matrices that depend only on field type and spatial dimension the distinction of our method from the pairwise summation of twobody potentials is elucidated in terms of the scattering processes between three objects to illustrate the power of the technique we consider robin boundary conditions phi lambda partial_n phi0 which interpolate between dirichlet and neumann cases as lambda is varied we obtain the interaction between two such spheres analytically in a large separation expansion and numerically for all separations the cases of unequal radii and unequal lambda are studied we find sign changes in the force as a function of separation in certain ranges of lambda and see deviations from the proximity force approximation even at short separations most notably for neumann boundary conditions | [['we', 'have', 'developed', 'an', 'exact', 'general', 'method', 'to', 'compute', 'casimir', 'interactions', 'between', 'a', 'finite', 'number', 'of', 'compact', 'objects', 'of', 'arbitrary', 'shape', 'and', 'separation', 'here', 'we', 'present', 'details', 'of', 'the', 'method', 'for', 'a', 'scalar', 'field', 'to', 'illustrate', 'our', 'approach', 'in', 'its', 'most', 'simple', 'form', 'the', 'generalization', 'to', 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710.3085 | Mapping the Atmospheres of Hot Jupiters | We present the results of recent observations of phase-dependent variations
in brightness designed to characterize the atmospheres of hot Jupiters. In
particular, we focus on recent observations of the transiting planet HD 189733b
at 8 micron using the Spitzer Space Telescope, which allow us to determine the
efficiency of the day-night circulation on this planet and estimate the
longitudinal positions of hot and cold regions in the atmosphere. We discuss
the implications of these observations in the context of two other successful
detections of more sparsely-sampled phase variations for the non-transiting
systems upsilon And b and HD 179949b, which imply a potential diversity in the
properties of the atmospheres of hot Jupiters. Lastly, we highlight several
upcoming Spitzer observations that will extend this sample to additional
wavelengths and more transiting systems in the near future.
| astro-ph | we present the results of recent observations of phasedependent variations in brightness designed to characterize the atmospheres of hot jupiters in particular we focus on recent observations of the transiting planet hd 189733b at 8 micron using the spitzer space telescope which allow us to determine the efficiency of the daynight circulation on this planet and estimate the longitudinal positions of hot and cold regions in the atmosphere we discuss the implications of these observations in the context of two other successful detections of more sparselysampled phase variations for the nontransiting systems upsilon and b and hd 179949b which imply a potential diversity in the properties of the atmospheres of hot jupiters lastly we highlight several upcoming spitzer observations that will extend this sample to additional wavelengths and more transiting systems in the near future | [['we', 'present', 'the', 'results', 'of', 'recent', 'observations', 'of', 'phasedependent', 'variations', 'in', 'brightness', 'designed', 'to', 'characterize', 'the', 'atmospheres', 'of', 'hot', 'jupiters', 'in', 'particular', 'we', 'focus', 'on', 'recent', 'observations', 'of', 'the', 'transiting', 'planet', 'hd', '189733b', 'at', '8', 'micron', 'using', 'the', 'spitzer', 'space', 'telescope', 'which', 'allow', 'us', 'to', 'determine', 'the', 'efficiency', 'of', 'the', 'daynight', 'circulation', 'on', 'this', 'planet', 'and', 'estimate', 'the', 'longitudinal', 'positions', 'of', 'hot', 'and', 'cold', 'regions', 'in', 'the', 'atmosphere', 'we', 'discuss', 'the', 'implications', 'of', 'these', 'observations', 'in', 'the', 'context', 'of', 'two', 'other', 'successful', 'detections', 'of', 'more', 'sparselysampled', 'phase', 'variations', 'for', 'the', 'nontransiting', 'systems', 'upsilon', 'and', 'b', 'and', 'hd', '179949b', 'which', 'imply', 'a', 'potential', 'diversity', 'in', 'the', 'properties', 'of', 'the', 'atmospheres', 'of', 'hot', 'jupiters', 'lastly', 'we', 'highlight', 'several', 'upcoming', 'spitzer', 'observations', 'that', 'will', 'extend', 'this', 'sample', 'to', 'additional', 'wavelengths', 'and', 'more', 'transiting', 'systems', 'in', 'the', 'near', 'future']] | [-0.10606301024004265, 0.11835984412356522, -0.06273121000698734, 0.03336150349738697, -0.08954972424026993, -0.04966612752458012, 0.08018731409166423, 0.3745851970635596, -0.15288133019650424, -0.31254199856064385, 0.113911785280194, -0.29097561535459976, -0.11452480047053003, 0.2119549152130882, -0.10588895567106428, 0.03967504874302971, 0.12440398608989738, -0.09150575563759991, -0.01466443196275375, -0.2773786863795033, 0.2768034278863558, 0.08453396316617727, 0.07021836492198485, 0.04544152578821889, -0.009593730378482077, -0.07337164267104257, -0.09945104928618229, -0.06334597245225235, -0.2140750311298352, 0.10031577627071075, 0.2244962439406663, 0.13340312563296822, 0.1668136011119242, -0.39685578502135793, -0.27501833531660613, 0.08361383913498786, 0.12004659103436602, 0.025602086371293773, -0.015393525933958934, -0.2709732325333688, 0.04612007692447622, -0.15262760602075745, -0.1710987660068053, -0.014695184046609534, 0.0546059458344071, 0.00622285696229449, -0.2600868129585352, 0.028558629123425043, 0.028743819954494636, 0.14199941298337998, -0.15779642189887386, -0.14722139788446603, -0.05918044572506376, 0.09158088007114, -0.004799760133028031, -0.016201088839658984, 0.1068449982545442, -0.12828313461159943, -0.06055399146689861, 0.4120135083518646, -0.17033567003112424, -0.0084512488330128, 0.27171604387738085, -0.2656903785584426, -0.19866240608885333, 0.12914675750459234, 0.2101284114781905, 0.14532250646777728, -0.14610869856896225, -0.01338566471175808, -0.04497152805604317, 0.16144054412013956, 0.05470850695166047, 0.11474209483367977, 0.37371981332975407, 0.1395835442520264, 0.07565146131760062, 0.11362530230587624, -0.29277338864005825, -0.055800417058721734, -0.1995156969530163, -0.14045386451675937, -0.12497153001302784, -0.016269200871250142, -0.08338845028591567, -0.08514833306479785, 0.383868429430381, 0.23442371436788192, 0.20191093416263658, 0.013220390710220844, 0.34852185247948875, 0.02938295238547855, 0.0697178292834131, 0.0867644392022932, 0.32179923351526396, 0.14760287091894833, 0.14848422985868873, -0.2798201749549696, 0.042372809472942245, -0.04653235076650701] |
710.3086 | Towards Einstein-Podolsky-Rosen quantum channel multiplexing | A single broadband squeezed field constitutes a quantum communication
resource that is sufficient for the realization of a large number N of quantum
channels based on distributed Einstein-Podolsky-Rosen (EPR) entangled states.
Each channel can serve as a resource for, e.g. independent quantum key
distribution or teleportation protocols. N-fold channel multiplexing can be
realized by accessing 2N squeezed modes at different Fourier frequencies. We
report on the experimental implementation of the N=1 case through the
interference of two squeezed states, extracted from a single broadband squeezed
field, and demonstrate all techniques required for multiplexing (N>1). Quantum
channel frequency multiplexing can be used to optimize the exploitation of a
broadband squeezed field in a quantum information task. For instance, it is
useful if the bandwidth of the squeezed field is larger than the bandwidth of
the homodyne detectors. This is currently a typical situation in many
experiments with squeezed and two-mode squeezed entangled light.
| quant-ph | a single broadband squeezed field constitutes a quantum communication resource that is sufficient for the realization of a large number n of quantum channels based on distributed einsteinpodolskyrosen epr entangled states each channel can serve as a resource for eg independent quantum key distribution or teleportation protocols nfold channel multiplexing can be realized by accessing 2n squeezed modes at different fourier frequencies we report on the experimental implementation of the n1 case through the interference of two squeezed states extracted from a single broadband squeezed field and demonstrate all techniques required for multiplexing n1 quantum channel frequency multiplexing can be used to optimize the exploitation of a broadband squeezed field in a quantum information task for instance it is useful if the bandwidth of the squeezed field is larger than the bandwidth of the homodyne detectors this is currently a typical situation in many experiments with squeezed and twomode squeezed entangled light | [['a', 'single', 'broadband', 'squeezed', 'field', 'constitutes', 'a', 'quantum', 'communication', 'resource', 'that', 'is', 'sufficient', 'for', 'the', 'realization', 'of', 'a', 'large', 'number', 'n', 'of', 'quantum', 'channels', 'based', 'on', 'distributed', 'einsteinpodolskyrosen', 'epr', 'entangled', 'states', 'each', 'channel', 'can', 'serve', 'as', 'a', 'resource', 'for', 'eg', 'independent', 'quantum', 'key', 'distribution', 'or', 'teleportation', 'protocols', 'nfold', 'channel', 'multiplexing', 'can', 'be', 'realized', 'by', 'accessing', '2n', 'squeezed', 'modes', 'at', 'different', 'fourier', 'frequencies', 'we', 'report', 'on', 'the', 'experimental', 'implementation', 'of', 'the', 'n1', 'case', 'through', 'the', 'interference', 'of', 'two', 'squeezed', 'states', 'extracted', 'from', 'a', 'single', 'broadband', 'squeezed', 'field', 'and', 'demonstrate', 'all', 'techniques', 'required', 'for', 'multiplexing', 'n1', 'quantum', 'channel', 'frequency', 'multiplexing', 'can', 'be', 'used', 'to', 'optimize', 'the', 'exploitation', 'of', 'a', 'broadband', 'squeezed', 'field', 'in', 'a', 'quantum', 'information', 'task', 'for', 'instance', 'it', 'is', 'useful', 'if', 'the', 'bandwidth', 'of', 'the', 'squeezed', 'field', 'is', 'larger', 'than', 'the', 'bandwidth', 'of', 'the', 'homodyne', 'detectors', 'this', 'is', 'currently', 'a', 'typical', 'situation', 'in', 'many', 'experiments', 'with', 'squeezed', 'and', 'twomode', 'squeezed', 'entangled', 'light']] | [-0.2052048876235188, 0.23483481270101803, -0.09523189433936127, 0.013060448770135591, -0.01642531065245796, -0.2611315710053436, 0.05424474477216503, 0.39786489825009513, -0.221520579916327, -0.2475452861858924, 0.07624594680122468, -0.22978897829613598, -0.06842668175905649, 0.26204812171176617, -0.043968312895709745, 0.12617717428197225, 0.079249406037362, 0.02131134852472889, 0.016318081896507033, -0.20909280865453184, 0.2730928848774822, 0.026408956978182112, 0.3826303644669487, -0.0063730348330481275, 0.0940598430246801, 0.06178653117048701, 0.031092987234986044, -0.0847347947817884, -0.05209410597140768, 0.07730709082725777, 0.30772070538123925, 0.1636408793599338, 0.2596968980138435, -0.38910118728189874, -0.2102648922752307, 0.1358036312985381, 0.15438646740480372, 0.18024247520799308, -0.007339773325886773, -0.3196905373065659, 0.010325024115732767, -0.18182752460339352, -0.06834722426413607, -0.07152817333974924, -0.042238053881048565, -0.03609779175052321, -0.300385423844043, 0.051927156315957144, -0.011750097405303294, 0.012296701226947144, 0.06663160434292972, -0.07848334077770185, 0.014940552833171463, 0.10433574173887457, -0.11876675029328142, -0.019100283291711668, 0.14098973722675032, -0.18055953449220397, -0.17531710073174173, 0.3418442036460252, -0.07311050759333164, -0.20416575690461813, 0.09405394970465415, -0.10724952409203213, -0.06800689353105172, 0.082401426974684, 0.1411885966877698, 0.09640134330440656, -0.11046684910864937, 0.030384467295095276, -0.028964517423637995, 0.2449015576750849, 0.12697064338441888, 0.23573435747714125, 0.23637423400865182, 0.13901453069411218, 0.08475491757723687, 0.23003001020084698, -0.10414474364063751, -0.08241181349148974, -0.3131835372432282, -0.16562278383092857, -0.3032977071377804, 0.11496590322042864, -0.09078491875257705, -0.09419754321999407, 0.4187718043348899, 0.11734147906597507, 0.09878723448951189, -0.00808796543003011, 0.3771099999154869, 0.10370187995393185, 0.07176096941417966, 0.06158380073649919, 0.2533839003766556, 0.15247313463355808, 0.08118650945222103, -0.20026675029581192, -0.02399040219193251, -0.08322229959058429] |
710.3087 | Quantum plasticity and dislocation-induced supersolidity | We suggest that below a certain temperature T_k, the free energy for the
creation of kinks-antikinks pairs in the dislocation network of solid He4
becomes negative. The underlying physical mechanism is the related liberation
of vacancies which initiate Feynman's permutation cycles in the bulk.
Consequently, dislocations should wander and sweep an increasingly larger
volume at low temperatures. This phenomenon should lead both to a stiffening of
the solid below T_k and to the appearance of a non zero superfluid fraction at
a second temperature T_c < T_k.
| cond-mat.stat-mech | we suggest that below a certain temperature t_k the free energy for the creation of kinksantikinks pairs in the dislocation network of solid he4 becomes negative the underlying physical mechanism is the related liberation of vacancies which initiate feynmans permutation cycles in the bulk consequently dislocations should wander and sweep an increasingly larger volume at low temperatures this phenomenon should lead both to a stiffening of the solid below t_k and to the appearance of a non zero superfluid fraction at a second temperature t_c t_k | [['we', 'suggest', 'that', 'below', 'a', 'certain', 'temperature', 't_k', 'the', 'free', 'energy', 'for', 'the', 'creation', 'of', 'kinksantikinks', 'pairs', 'in', 'the', 'dislocation', 'network', 'of', 'solid', 'he4', 'becomes', 'negative', 'the', 'underlying', 'physical', 'mechanism', 'is', 'the', 'related', 'liberation', 'of', 'vacancies', 'which', 'initiate', 'feynmans', 'permutation', 'cycles', 'in', 'the', 'bulk', 'consequently', 'dislocations', 'should', 'wander', 'and', 'sweep', 'an', 'increasingly', 'larger', 'volume', 'at', 'low', 'temperatures', 'this', 'phenomenon', 'should', 'lead', 'both', 'to', 'a', 'stiffening', 'of', 'the', 'solid', 'below', 't_k', 'and', 'to', 'the', 'appearance', 'of', 'a', 'non', 'zero', 'superfluid', 'fraction', 'at', 'a', 'second', 'temperature', 't_c', 't_k']] | [-0.15626686249366578, 0.32684284934435065, -0.07463641114476131, 0.03563959528418148, -0.043814140769159966, -0.08435622881002286, 0.12232751010862343, 0.31466401275247335, -0.2900335605968447, -0.2631609272759627, 0.028244793456157342, -0.28846279707572914, -0.07524462585775729, 0.143014966521193, -0.0122004771605134, -0.04255938837852548, -0.03817063475794652, 0.09769656295162242, -0.08868782713954501, -0.2060720215606339, 0.2696246555622886, 0.07843965210041086, 0.3194527689148398, 0.14478571702013998, 0.049351892876267595, -0.07333424772574183, 0.07492261924506986, 0.025255735025412458, -0.16435028339731028, 0.03471370180520941, 0.25637447158806026, -0.03329925832924132, 0.2557344201623517, -0.42508092196110414, -0.22438555074965252, 0.11612862883245244, 0.11751684824223904, 0.14481404916082016, -0.02528970904977006, -0.18578268932726452, 0.06604342357844444, -0.1301425879547263, -0.15379879030892077, -0.02465674368226353, 0.03855370875338421, -0.04138433679061777, -0.22338770649888937, 0.14511608256246236, 0.08235418873784296, 0.07470115583170862, -0.05616358046091217, -0.12237914498785839, -0.0850629402543692, 0.047841473635943495, 0.03257777690613533, 0.048271446129964556, 0.20731603324632433, -0.12986239612047726, -0.04199996116735479, 0.38745845029240145, -0.031111095922396463, -0.07780877660792183, 0.1997193490565919, -0.16202796201824265, -0.0848661417251124, 0.24013893196140143, 0.13080196246943054, 0.06559673480908661, -0.10027710477657178, 0.00257693560937803, -0.0002300024059984614, 0.14258926711319125, 0.0861454962478841, 0.013966927414431292, 0.2739919975509538, 0.18198861434836597, 0.08289065101348302, 0.14267501156599097, -0.0871036078698714, -0.07466847701546024, -0.3305095853722271, -0.17824889898628873, -0.18848440969253288, 0.07263225664877716, -0.0916575042910956, -0.22109922051758452, 0.31707999128848313, 0.11863891511936397, 0.25100674164645814, 0.028875347677453915, 0.23611983241075102, 0.1298802682424567, 0.09554349116652328, 0.046411184224245304, 0.1755625124582473, 0.14756033518625533, 0.13283883228843266, -0.2954274100419271, 0.06821914412464727, 0.044740826548898924] |
710.3088 | Influences of an impurity on the transport properties of one-dimensional
antisymmetric spin filter | The influences of an impurity on the spin and the charge transport of
one-dimensional antisymmetric spin filter are investigated using bosonization
and Keldysh formulation and the results are highlighted against those of
spinful Luttinger liquids. Due to the dependence of the electron spin
orientation on wave number the spin transport is not affected by the impurity,
while the charge transport is essentially identical with that of spinless
one-dimensional Luttinger liquid.
| cond-mat.str-el | the influences of an impurity on the spin and the charge transport of onedimensional antisymmetric spin filter are investigated using bosonization and keldysh formulation and the results are highlighted against those of spinful luttinger liquids due to the dependence of the electron spin orientation on wave number the spin transport is not affected by the impurity while the charge transport is essentially identical with that of spinless onedimensional luttinger liquid | [['the', 'influences', 'of', 'an', 'impurity', 'on', 'the', 'spin', 'and', 'the', 'charge', 'transport', 'of', 'onedimensional', 'antisymmetric', 'spin', 'filter', 'are', 'investigated', 'using', 'bosonization', 'and', 'keldysh', 'formulation', 'and', 'the', 'results', 'are', 'highlighted', 'against', 'those', 'of', 'spinful', 'luttinger', 'liquids', 'due', 'to', 'the', 'dependence', 'of', 'the', 'electron', 'spin', 'orientation', 'on', 'wave', 'number', 'the', 'spin', 'transport', 'is', 'not', 'affected', 'by', 'the', 'impurity', 'while', 'the', 'charge', 'transport', 'is', 'essentially', 'identical', 'with', 'that', 'of', 'spinless', 'onedimensional', 'luttinger', 'liquid']] | [-0.17243226192492458, 0.2633688193897667, -0.0208188280995403, 0.019476329179347624, -0.009906613134912081, -0.19635936869973583, -0.01486080486793071, 0.34051083512604235, -0.21207690361355033, -0.24606027118861676, 0.014297311041238053, -0.35687649340501854, -0.10298164234097515, 0.16844981177044765, 0.06465733807001794, 0.06019487674348056, -0.05280811844526657, -0.02139588418815817, -0.12858460736793598, -0.2223784559273294, 0.3108129759003142, 0.005673075653612613, 0.311436602473259, 0.13366583846509456, 0.0636085970826181, 0.16689772895936456, 0.04536383186600038, 0.054369054388787065, -0.11625832341596834, 0.026542754471302034, 0.20231700628397187, -0.15231861384984638, 0.13222581788099239, -0.4916227450328214, -0.20939880225009153, -0.05155386199559351, 0.1532177535950073, 0.16697667607305838, -0.03709038448453482, -0.32562904711812735, -0.034725797389234814, -0.20471123500860164, -0.14793966029870456, -0.07671042115627123, -0.02193423799721391, 0.042446628517687456, -0.18873704272056266, 0.14611959418814097, 0.07558711776676189, 0.017528939958927885, -0.05905120306914406, -0.11884460670075246, -0.10401079997952495, 0.057221833375349106, 0.07367817518367831, 0.012334415456280112, 0.22889934748943364, -0.1699333082751504, -0.11969446052930184, 0.348958690757198, -0.052057740770812544, -0.2689057265009199, 0.21632389942450184, -0.18212232747381288, -0.02186162048684699, 0.14614624311881405, 0.0411627690307796, 0.0783823604628976, -0.17380861639976503, 0.08381130691102173, -0.09401876547219996, 0.13146845211324815, -0.02050999267292874, 0.06973025482813162, 0.28429020680487155, 0.1911888293123671, 0.07651744764963431, 0.10454903784141477, -0.16561991502530873, -0.15215981061004902, -0.22046222040163618, -0.15993083271064928, -0.28943351682807716, 0.05963245062573281, -0.023883260420032977, -0.17122026979258018, 0.4590088300939117, 0.16381805897025126, 0.11570974681110653, -0.018198639526963233, 0.22669079384899565, 0.1693217234686017, 0.007277535713676895, 0.03922141448461584, 0.21408055145958704, 0.22119420942783888, 0.037561626293297325, -0.43220476168873057, 0.043541454929592355, 0.07811706569045782] |
710.3089 | Addendum to: Commensurations of the Johnson kernel | Let K(S) be the subgroup of the extended mapping class group, Mod(S),
generated by Dehn twists about separating curves. In our earlier paper, we
showed that Comm(K(S)) and Aut(K(S)) are both isomorphic to Mod(S) when S is a
closed, connected, orientable surface of genus g at least 4. By modifying our
original proof, we show that the same result holds for g at leat 3, thus
confirming Farb's conjecture in all cases (the statement is not true for any g
less than 3).
| math.GT math.GR | let ks be the subgroup of the extended mapping class group mods generated by dehn twists about separating curves in our earlier paper we showed that commks and autks are both isomorphic to mods when s is a closed connected orientable surface of genus g at least 4 by modifying our original proof we show that the same result holds for g at leat 3 thus confirming farbs conjecture in all cases the statement is not true for any g less than 3 | [['let', 'ks', 'be', 'the', 'subgroup', 'of', 'the', 'extended', 'mapping', 'class', 'group', 'mods', 'generated', 'by', 'dehn', 'twists', 'about', 'separating', 'curves', 'in', 'our', 'earlier', 'paper', 'we', 'showed', 'that', 'commks', 'and', 'autks', 'are', 'both', 'isomorphic', 'to', 'mods', 'when', 's', 'is', 'a', 'closed', 'connected', 'orientable', 'surface', 'of', 'genus', 'g', 'at', 'least', '4', 'by', 'modifying', 'our', 'original', 'proof', 'we', 'show', 'that', 'the', 'same', 'result', 'holds', 'for', 'g', 'at', 'leat', '3', 'thus', 'confirming', 'farbs', 'conjecture', 'in', 'all', 'cases', 'the', 'statement', 'is', 'not', 'true', 'for', 'any', 'g', 'less', 'than', '3']] | [-0.14808200347470118, 0.11318724468583241, -0.08982260642223991, 0.040181092808052196, -0.07896269504562951, -0.1901876642543357, 0.016297668383049312, 0.37335019474849107, -0.23911136383539996, -0.31972364482935517, 0.10762432416086085, -0.27537579768977594, -0.11949733542860486, 0.2646991637942847, -0.11931088928831741, -0.0913517938926816, 0.09659762881929054, 0.062452778592705725, -0.0713668662821874, -0.3340239947428927, 0.336086570401676, -0.10382669826503843, 0.172117593382427, 0.06100503582274541, 0.04905101112672128, 0.033369886805303395, 0.001844009873457253, 0.0415124246575715, -0.11690046032399551, 0.09348632485853159, 0.2771825486037415, 0.05744563317857683, 0.205446679542365, -0.3526352637447417, -0.2135747886641184, 0.18459463056060485, 0.13150298094260507, -0.002294895623344928, 0.00510799492476508, -0.24943557470105587, 0.20304182738764212, -0.09355129198811482, -0.17997835023561493, 0.008304676623083651, 0.10153233564924449, -0.07966700303368271, -0.20982711023534648, 0.007856083754450082, 0.1428686293773353, 0.10424659411655739, -0.018089232360944153, -0.13705799263552762, -0.09075689183664508, 0.10452855258372437, -0.001035097206477076, 0.13400828731828368, 0.03699897946207784, -0.09894528394797816, -0.07376482828694861, 0.3573582363256719, -0.09487341612493765, -0.14343110730405897, 0.13058415915584193, -0.22889740247046575, -0.18335621149017242, 0.15737646657216828, 0.029619881219696255, 0.1597557662113104, -0.03461791625977639, 0.15777409446818638, -0.15095517612062395, 0.13699701189179905, 0.11314088881044881, -0.08367385502206162, 0.12469643181484572, 0.06999438076963997, 0.11592004658159567, 0.137931351584848, -0.002477158105466515, 0.10091842793917749, -0.36282441671937704, -0.1803486547069042, -0.15966291895747417, 0.14295100726030796, -0.09663423367874202, -0.07472538595320657, 0.38898638444952666, 0.061054666666314004, 0.12853950643911957, 0.18325169708114117, 0.20781234352616593, 0.045481956427101976, 0.08487631565294577, 0.19403326794272288, 0.12943013794720173, 0.16199548560543917, -0.12611426319926977, -0.1335154759231955, 0.020644012332195417, 0.1554983679263387] |
710.309 | Helicity Amplitudes for Charmonium Production in Hadron-Hadron and
Photon-Hadron Collisions | We present the gluon-gluon and photon-gluon helicity amplitudes for color
singlet and octet charmonium production in polarized and unpolarized
hadron-hadron and photon-hadron collisions.
| hep-ph | we present the gluongluon and photongluon helicity amplitudes for color singlet and octet charmonium production in polarized and unpolarized hadronhadron and photonhadron collisions | [['we', 'present', 'the', 'gluongluon', 'and', 'photongluon', 'helicity', 'amplitudes', 'for', 'color', 'singlet', 'and', 'octet', 'charmonium', 'production', 'in', 'polarized', 'and', 'unpolarized', 'hadronhadron', 'and', 'photonhadron', 'collisions']] | [-0.015611194266492257, 0.4247966273080396, -0.15086640996615525, 0.3149341659053512, 0.03288392811689688, -0.05593291265161141, -0.059417238631083266, 0.49178949970266095, -0.07343958461981105, -0.09340797308022561, -0.26651547971161327, -0.35131313797572383, 0.1504093372951383, -0.0020247768185546865, 0.22199701436835786, 0.10947622447882009, 0.14357432917408322, -0.07013512489831318, 0.06466352971999542, -0.22174218499466128, 0.3957615455855494, -0.075802534778157, 0.23011753031902987, 0.37716530295817746, 0.010348454360728678, 0.2923771962725922, -0.09897664005858013, -0.22766955715158713, -0.04689992705117101, 0.09962389860226287, 0.31157437007388344, 8.179619908332825e-05, -0.12312516744208077, -0.3542129980076266, 0.023070496587973575, 0.14314430225235614, 0.2087990264205829, 0.17614880657714346, -0.08773862623164187, -0.2799616514340691, 0.047707611290009125, -0.30354633182287216, -0.08876353263369073, -0.1318681389093399, 0.03461861537526483, -0.10429294472155363, -0.4643165141991947, 0.1452512500564689, -0.08321216994005701, 0.050643916251947696, -0.013371847519327117, -0.3439559537269499, -0.1959097789519507, -0.11788551695644855, 0.09945778884803472, 0.2040471841338212, 0.17644601746502778, -0.3423592923259687, -0.33347352464561875, 0.34186708796566917, -0.045659498210348516, -0.08773748515902655, 0.11603870230686406, -0.2504297909529313, -0.14364849095759186, 0.13935255406059974, 0.31208124027951906, 0.10170084181363168, -0.21686172145216362, 0.0752569678462232, 0.026415461795809475, 0.08609764001575178, 0.18680271765460138, 0.2100943487704448, 0.18136660025819487, 0.1855571933252656, -0.18322008653827335, 0.09396031150675338, -0.15818753870932953, -0.06670203545819157, -0.4699389092300249, -0.0993237506152819, 0.006659157290730787, 0.06400039532910222, 0.012468843622153381, 0.003909491002559662, 0.33525571348550526, 0.008706612755423006, 0.2539486246912376, -0.0485493495007572, 0.44129057034202246, 0.08643377483215021, 0.03515620383879413, 0.14985461140294437, 0.2815390466509954, 0.31530196786574693, 0.24629486578962076, -0.33664291789350304, -0.03857401244180358, 0.05406249245709699] |
710.3091 | First observation of J/\psi and \psi(2S) decaying to n K^0_S\bar\Lambda
+c.c | The decays of $\jpsi$ and $\psip$ to ${n}{K^0_S}\bar{\Lambda}+c.c.$ are
observed and measured for the first time, and the perturbative QCD ``12%'' rule
is tested, based on $5.8 \times 10^7$ $\jpsi$ and $1.4 \times 10^7$ $\psip$
events collected with BESII detector at the Beijing Electron-Positron Collider.
No obvious enhancement near $n\bar{\Lambda}$ threshold in $\jpsi \to
{n}{K^0_S}\bar{\Lambda}+c.c.$ is observed, and the upper limit on the branching
ratio of $\jpsi \to {K^0_S} X, X \to n \bar \Lambda$ is determined.
| hep-ex | the decays of jpsi and psip to nk0_sbarlambdacc are observed and measured for the first time and the perturbative qcd 12 rule is tested based on 58 times 107 jpsi and 14 times 107 psip events collected with besii detector at the beijing electronpositron collider no obvious enhancement near nbarlambda threshold in jpsi to nk0_sbarlambdacc is observed and the upper limit on the branching ratio of jpsi to k0_s x x to n bar lambda is determined | [['the', 'decays', 'of', 'jpsi', 'and', 'psip', 'to', 'nk0_sbarlambdacc', 'are', 'observed', 'and', 'measured', 'for', 'the', 'first', 'time', 'and', 'the', 'perturbative', 'qcd', '12', 'rule', 'is', 'tested', 'based', 'on', '58', 'times', '107', 'jpsi', 'and', '14', 'times', '107', 'psip', 'events', 'collected', 'with', 'besii', 'detector', 'at', 'the', 'beijing', 'electronpositron', 'collider', 'no', 'obvious', 'enhancement', 'near', 'nbarlambda', 'threshold', 'in', 'jpsi', 'to', 'nk0_sbarlambdacc', 'is', 'observed', 'and', 'the', 'upper', 'limit', 'on', 'the', 'branching', 'ratio', 'of', 'jpsi', 'to', 'k0_s', 'x', 'x', 'to', 'n', 'bar', 'lambda', 'is', 'determined']] | [-0.08230563052819816, 0.19831593144634688, -0.09049260707546931, 0.10851420356256485, 0.0086138190047161, -0.08693338079831085, 0.08614655044338843, 0.3020381144298291, -0.10224832537760203, -0.27492718932193677, -0.009492330072208535, -0.4470847040616177, 0.11412763243503365, 0.17536254421291822, 0.09897897996612497, 0.1466991969988354, 0.07680246449780424, 0.04476855213854562, -0.029646136357474165, -0.23476503512545213, 0.15694372258400796, 0.037921412398006664, 0.22479561604936985, 0.125995984728876, 0.08681561402674462, -0.0338631501024891, -0.052272500092717444, -0.08233867610829908, -0.17085705877508264, -0.02735919482625291, 0.27271003490376816, 0.11021040319590955, 0.08021930992804668, -0.3363998578672574, 0.019767366362282553, 0.18090221587870572, 0.12244853741690717, -0.03926017032181089, 0.03307677231213028, -0.3619563681375537, 0.23765905249889033, -0.14074848691077047, -0.046018149036712745, 0.03860500476297897, 0.1515782127893102, -0.10169931952967434, -0.3786025658073659, 0.09307035197176643, -0.08343188779277576, 0.04428846221314932, 0.01618873602962373, -0.25366213718882286, -0.018287511699757463, -0.07190538530640707, 0.08008749373068379, 0.1758674842406165, 0.22947090973045575, -0.07891037510204557, -0.18593344150262103, 0.38034183713229924, -0.0726421844726271, -0.05195729607972631, 0.14135859247511, -0.29373366938828416, -0.1090584049139776, 0.24026720482553984, 0.26408999870103356, 0.06912252224503539, -0.1671322160966795, 0.08135160347179358, -0.006340397605231988, 0.21051545597210125, 0.13246280698080523, 0.07079839375895776, 0.10120709281850518, 0.23288295825005736, -0.04395950769351141, 0.024188139090452948, -0.15508918975781952, -0.034392271456749154, -0.40625609176680194, -0.08995835376097946, -0.06669548849694783, 0.1617565561869383, -0.04921889860034335, -0.004063171485589968, 0.29428134067927963, 0.04678182564424099, 0.3647318389203802, 0.01887404532926912, 0.27103598003049156, 0.15652152174152434, -0.0032937622615734014, 0.09602084622865487, 0.3004232415476361, 0.16829597041312908, 0.15910874283243273, -0.2660262469592429, 0.04838451452716883, 0.007973184016205975] |
710.3092 | Cavity-QED with cold atoms trapped in a double-well potential | We investigate the interplay dynamics of a cavity qed system, where the
two-level atoms are trapped in a double-well potential, and the cavity mode,
with a frequency largely detuned to the atomic level splitting, is driven by a
probe laser. The interaction between the center-of-mass motion of the atoms and
the cavity mode is induced by the position dependent atom-field coupling. The
dynamics of the system is characterized by two distinct time scales, the
inverse of the atomic interwell tunneling rate and the inverse of the cavity
loss rate. The system shows drastically different (quasi) steady behaviors in
the short-time and long-time intervals.
| quant-ph | we investigate the interplay dynamics of a cavity qed system where the twolevel atoms are trapped in a doublewell potential and the cavity mode with a frequency largely detuned to the atomic level splitting is driven by a probe laser the interaction between the centerofmass motion of the atoms and the cavity mode is induced by the position dependent atomfield coupling the dynamics of the system is characterized by two distinct time scales the inverse of the atomic interwell tunneling rate and the inverse of the cavity loss rate the system shows drastically different quasi steady behaviors in the shorttime and longtime intervals | [['we', 'investigate', 'the', 'interplay', 'dynamics', 'of', 'a', 'cavity', 'qed', 'system', 'where', 'the', 'twolevel', 'atoms', 'are', 'trapped', 'in', 'a', 'doublewell', 'potential', 'and', 'the', 'cavity', 'mode', 'with', 'a', 'frequency', 'largely', 'detuned', 'to', 'the', 'atomic', 'level', 'splitting', 'is', 'driven', 'by', 'a', 'probe', 'laser', 'the', 'interaction', 'between', 'the', 'centerofmass', 'motion', 'of', 'the', 'atoms', 'and', 'the', 'cavity', 'mode', 'is', 'induced', 'by', 'the', 'position', 'dependent', 'atomfield', 'coupling', 'the', 'dynamics', 'of', 'the', 'system', 'is', 'characterized', 'by', 'two', 'distinct', 'time', 'scales', 'the', 'inverse', 'of', 'the', 'atomic', 'interwell', 'tunneling', 'rate', 'and', 'the', 'inverse', 'of', 'the', 'cavity', 'loss', 'rate', 'the', 'system', 'shows', 'drastically', 'different', 'quasi', 'steady', 'behaviors', 'in', 'the', 'shorttime', 'and', 'longtime', 'intervals']] | [-0.21382125728374834, 0.24021115256202163, -0.05033049341833707, 0.011131881337242147, 0.058242678990388666, -0.157076495559434, 0.04709961468995847, 0.3686834567416351, -0.31255892749188596, -0.2526216471716942, 0.01230931058028731, -0.2684546276312141, -0.06342473158215, 0.18343142271765228, 0.06254674988749066, 0.045532010124942054, 0.04929236149035611, 0.001282675474321524, -0.001153436661200616, -0.13444827748259114, 0.33685252562422957, 0.07365590540999636, 0.30834985047000124, 0.04342940445193677, 0.1369084512670208, -0.01374357075936803, 0.07857744249253018, -0.035163730618010446, -0.10235855277193692, 0.07947140258004509, 0.1505961255492525, -0.005144434549294195, 0.2980924697809862, -0.43647837872137724, -0.15413991645548167, 0.06077565440853822, 0.1747280698997484, 0.17236066047210716, -0.0157571894306581, -0.33600526762384814, -0.07238966967340885, -0.13984779488222981, -0.13140601938301064, -0.012059275036026697, 0.03533317068890099, 0.06620773904531904, -0.2635084373731781, 0.09893368238818298, 0.060748380925325515, 0.06510170265236526, -0.06677123614433177, 0.019991494316236993, -0.0006121400183120978, 0.08057856030063704, 0.02328065406865648, -0.004999765557478842, 0.2166153338954793, -0.1419826437565453, -0.09064620093089863, 0.3674383370513187, -0.1322873896372152, -0.16581423157482472, 0.21212349557634264, -0.2103965459843573, 0.05385158453543571, 0.14921786412325444, 0.1350844052238209, 0.08359331442314444, -0.15644652153550676, 0.0898395597062173, 0.03103935642131758, 0.2281280428948767, 0.09699424303326647, 0.09696772142349588, 0.19822971378136606, 0.20166275074572113, 0.029339902681633105, 0.1977114543155993, -0.11012935287599425, -0.14730578782579418, -0.2539355452036829, -0.09496821215019101, -0.20262459869376717, 0.027785647836812203, -0.06989573194923386, -0.11833325332229577, 0.44122414947351785, 0.08308294001888727, 0.19949213245395317, -0.05090137150644967, 0.30158938687222386, 0.2023889894949869, 0.023791466269967625, 0.004504336229552632, 0.3260865051037117, 0.13073812424910516, 0.07650385567357817, -0.4244343000192882, -0.009966393259073635, 0.032937837877645364] |
710.3093 | Acceleration-Enlarged Symmetries in Nonrelativistic Space-Time with a
Cosmological Constant | By considering the nonrelativistic limit of de-Sitter geometry one obtains
the nonrelativistic space-time with a cosmological constant and Newton-Hooke
(NH) symmetries. We show that the NH symmetry algebra can be enlarged by the
addition of the constant acceleration generators and endowed with central
extensions (one in any dimension (D) and three in D=(2+1)). We present a
classical Lagrangian and Hamiltonian framework for constructing models
quasi-invariant under enlarged NH symmetries which depend on three parameters
described by three nonvanishing central charges. The Hamiltonian dynamics then
splits into external and internal sectors with new non-commutative structures
of external and internal phase spaces. We show that in the limit of vanishing
cosmological constant the system reduces to the one presented in [1] which
possesses accelaration-enlarged Galilean symmetries.
| hep-th | by considering the nonrelativistic limit of desitter geometry one obtains the nonrelativistic spacetime with a cosmological constant and newtonhooke nh symmetries we show that the nh symmetry algebra can be enlarged by the addition of the constant acceleration generators and endowed with central extensions one in any dimension d and three in d21 we present a classical lagrangian and hamiltonian framework for constructing models quasiinvariant under enlarged nh symmetries which depend on three parameters described by three nonvanishing central charges the hamiltonian dynamics then splits into external and internal sectors with new noncommutative structures of external and internal phase spaces we show that in the limit of vanishing cosmological constant the system reduces to the one presented in 1 which possesses accelarationenlarged galilean symmetries | [['by', 'considering', 'the', 'nonrelativistic', 'limit', 'of', 'desitter', 'geometry', 'one', 'obtains', 'the', 'nonrelativistic', 'spacetime', 'with', 'a', 'cosmological', 'constant', 'and', 'newtonhooke', 'nh', 'symmetries', 'we', 'show', 'that', 'the', 'nh', 'symmetry', 'algebra', 'can', 'be', 'enlarged', 'by', 'the', 'addition', 'of', 'the', 'constant', 'acceleration', 'generators', 'and', 'endowed', 'with', 'central', 'extensions', 'one', 'in', 'any', 'dimension', 'd', 'and', 'three', 'in', 'd21', 'we', 'present', 'a', 'classical', 'lagrangian', 'and', 'hamiltonian', 'framework', 'for', 'constructing', 'models', 'quasiinvariant', 'under', 'enlarged', 'nh', 'symmetries', 'which', 'depend', 'on', 'three', 'parameters', 'described', 'by', 'three', 'nonvanishing', 'central', 'charges', 'the', 'hamiltonian', 'dynamics', 'then', 'splits', 'into', 'external', 'and', 'internal', 'sectors', 'with', 'new', 'noncommutative', 'structures', 'of', 'external', 'and', 'internal', 'phase', 'spaces', 'we', 'show', 'that', 'in', 'the', 'limit', 'of', 'vanishing', 'cosmological', 'constant', 'the', 'system', 'reduces', 'to', 'the', 'one', 'presented', 'in', '1', 'which', 'possesses', 'accelarationenlarged', 'galilean', 'symmetries']] | [-0.1666294819395232, 0.19032538190817203, -0.034274946913365426, 0.04769463699341305, -0.05084629341339072, -0.1708095380582097, -0.03227221329953915, 0.3251897114048886, -0.22753258035101784, -0.27611257739334816, 0.07549064760986049, -0.22919474929813446, -0.09771738540593201, 0.12437659978669713, -0.03171236286833277, -0.021742554529138456, -0.008622706915077761, 0.061023291879962006, -0.12351184756669208, -0.23194843098309223, 0.3648510208292826, 0.024934954910985824, 0.2353857880253799, -0.02211522622028275, 0.16681230564154986, 0.012336337878330937, 0.010365013919043832, 0.04367588074287263, -0.13581240930789948, 0.0873636939843011, 0.171339508915909, 0.05306875371995071, 0.14803914609175872, -0.4182508777584729, -0.21922497882515313, 0.09568936531469832, 0.1279561922817332, 0.09589401985957795, -0.029590068874327937, -0.30922109693122224, 0.02615800156159614, -0.18981097987663698, -0.2048574846457478, -0.10042750135033839, 0.014751908616389989, -0.045788023560270064, -0.22400929471402148, 0.08551086291171066, 0.0786964238065364, 0.031438417384416106, -0.11444120012541734, -0.08454839302874284, -0.09852092906575256, 0.06861851512685388, 0.07247651365350902, 0.003392669754632847, 0.12604810031437566, -0.11603630609749778, -0.12736927414676402, 0.4207053245764559, -0.10381579033772999, -0.2755133254165814, 0.14927975306612992, -0.15175785568383773, -0.19448042646943917, 0.08012071357873397, 0.09871895913019534, 0.07818109565225195, -0.09544146668196209, 0.22068761426647152, -0.01791307683920533, 0.1194231633581524, 0.07428058386000434, 0.026466316214149316, 0.18376770654950686, 0.07377837014164988, 0.08958430770061517, 0.11550450277215672, -0.019364674452586265, -0.16306348702429257, -0.3838658910699007, -0.15495727456182362, -0.11593742393017785, 0.10851794849263459, -0.17268295300962608, -0.09875678999644773, 0.37211915783629546, 0.11005335362255195, 0.19701821702282604, 0.004555532029201466, 0.23897171892770908, 0.1280668291104276, 0.07261418587740177, 0.11191317465580333, 0.23135867459714654, 0.13642370986101043, 0.019659676096909415, -0.22361063610050616, -0.07620031495268147, 0.13834229505779902] |
710.3094 | Effect of the lattice alignment on Bloch oscillations of a Bose-Einstein
condensate in a square optical lattice | We consider a Bose-Einstein condensate of ultracold atoms loaded into a
square optical lattice and subject to a static force. For vanishing atom-atom
interactions the atoms perform periodic Bloch oscillations for arbitrary
direction of the force. We study the stability of these oscillations for
non-vanishing interactions, which is shown to depend on an alignment of the
force vector with respect to the lattice crystallographic axes. If the force is
aligned along any of the axes, the mean field approach can be used to identify
the stability conditions. On the contrary, for a misaligned force one has to
employ the microscopic approach, which predicts periodic modulation of Bloch
oscillations in the limit of a large forcing.
| cond-mat.supr-con cond-mat.mes-hall | we consider a boseeinstein condensate of ultracold atoms loaded into a square optical lattice and subject to a static force for vanishing atomatom interactions the atoms perform periodic bloch oscillations for arbitrary direction of the force we study the stability of these oscillations for nonvanishing interactions which is shown to depend on an alignment of the force vector with respect to the lattice crystallographic axes if the force is aligned along any of the axes the mean field approach can be used to identify the stability conditions on the contrary for a misaligned force one has to employ the microscopic approach which predicts periodic modulation of bloch oscillations in the limit of a large forcing | [['we', 'consider', 'a', 'boseeinstein', 'condensate', 'of', 'ultracold', 'atoms', 'loaded', 'into', 'a', 'square', 'optical', 'lattice', 'and', 'subject', 'to', 'a', 'static', 'force', 'for', 'vanishing', 'atomatom', 'interactions', 'the', 'atoms', 'perform', 'periodic', 'bloch', 'oscillations', 'for', 'arbitrary', 'direction', 'of', 'the', 'force', 'we', 'study', 'the', 'stability', 'of', 'these', 'oscillations', 'for', 'nonvanishing', 'interactions', 'which', 'is', 'shown', 'to', 'depend', 'on', 'an', 'alignment', 'of', 'the', 'force', 'vector', 'with', 'respect', 'to', 'the', 'lattice', 'crystallographic', 'axes', 'if', 'the', 'force', 'is', 'aligned', 'along', 'any', 'of', 'the', 'axes', 'the', 'mean', 'field', 'approach', 'can', 'be', 'used', 'to', 'identify', 'the', 'stability', 'conditions', 'on', 'the', 'contrary', 'for', 'a', 'misaligned', 'force', 'one', 'has', 'to', 'employ', 'the', 'microscopic', 'approach', 'which', 'predicts', 'periodic', 'modulation', 'of', 'bloch', 'oscillations', 'in', 'the', 'limit', 'of', 'a', 'large', 'forcing']] | [-0.22394553451171226, 0.20018016057526794, -0.0755566330069838, 0.014900827507043014, -0.05968256366601133, -0.12586689906032836, 0.016518971830120553, 0.36858687909400983, -0.2624841668278627, -0.21039938417151977, 0.052023611180281835, -0.2552047122877253, -0.0828600906888428, 0.17080602535330083, 0.02955009462311864, 0.024661319557091464, 0.03253458390093368, 0.06657988403154456, -0.04188427058574946, -0.22886682136753655, 0.31067755362423866, 0.01783932678644424, 0.2997588261799968, 0.050237443525870534, 0.10563994436018655, 0.049299705773591995, 0.06774614294585975, 0.03674542898231226, -0.14801989018894307, 0.09848747473696004, 0.12614615737339077, -0.043625415691539, 0.22632241127202693, -0.4646749175437119, -0.19063979006655837, 0.10540565782753022, 0.14951811792814862, 0.1741667056152516, -0.015741459893710587, -0.27309039191383383, 0.006051235996267718, -0.11164119671220364, -0.19508723297925748, -0.10959452345319416, 0.039363547138181396, 0.08372754468177648, -0.3071831334868203, 0.08046081734254308, 0.07235670614501705, 0.09587112744541272, -0.1408267135772368, -0.03959031004215712, 0.013063563183759865, 0.09659215561316713, 0.05805967596217828, 0.07775156924136631, 0.13658988962516835, -0.08916479439839073, -0.09376941268210826, 0.4540434991535933, -0.11739467421202394, -0.24823136711088212, 0.17184870743557162, -0.1284136743917454, -0.05150420963359268, 0.13143726463186675, 0.19622985182087058, 0.06899169310927392, -0.10413298421012966, 0.0332038495117677, -0.04409028705533432, 0.1762807780907125, 0.09673395456503267, 0.005463559650208639, 0.2746560933149379, 0.12721968739414993, 0.09952516690422983, 0.14060923369581121, -0.1278860837413484, -0.1135460366535446, -0.25622697679487905, -0.11337996387611264, -0.20927714448746132, 0.04789098088791513, -0.0384077206536186, -0.21090235881907257, 0.3955527805439804, 0.1490569050545278, 0.20255831133412278, -0.017360938095447163, 0.2879130275920033, 0.09334218268809111, 0.10495235411369282, -0.01802344679751474, 0.31618616059827415, 0.18298522049723112, 0.04728733686649281, -0.29719809906800154, -0.00532308196163048, 0.042998117473705307] |
710.3095 | Ballistic Phase of Self-Interacting Random Walks | We explain a unified approach to a study of ballistic phase for a large
family of self-interacting random walks with a drift and self-interacting
polymers with an external stretching force. The approach is based on a recent
version of the Ornstein-Zernike theory developed in earlier works. It leads to
local limit results for various observables (e.g. displacement of the end-point
or number of hits of a fixed finite pattern) on paths of n-step walks
(polymers) on all possible deviation scales from CLT to LD. The class of
models, which display ballistic phase in the "universality class" discussed in
the paper, includes self-avoiding walks, Domb-Joyce model, random walks in an
annealed random potential, reinforced polymers and weakly reinforced random
walks.
| math.PR math-ph math.MP | we explain a unified approach to a study of ballistic phase for a large family of selfinteracting random walks with a drift and selfinteracting polymers with an external stretching force the approach is based on a recent version of the ornsteinzernike theory developed in earlier works it leads to local limit results for various observables eg displacement of the endpoint or number of hits of a fixed finite pattern on paths of nstep walks polymers on all possible deviation scales from clt to ld the class of models which display ballistic phase in the universality class discussed in the paper includes selfavoiding walks dombjoyce model random walks in an annealed random potential reinforced polymers and weakly reinforced random walks | [['we', 'explain', 'a', 'unified', 'approach', 'to', 'a', 'study', 'of', 'ballistic', 'phase', 'for', 'a', 'large', 'family', 'of', 'selfinteracting', 'random', 'walks', 'with', 'a', 'drift', 'and', 'selfinteracting', 'polymers', 'with', 'an', 'external', 'stretching', 'force', 'the', 'approach', 'is', 'based', 'on', 'a', 'recent', 'version', 'of', 'the', 'ornsteinzernike', 'theory', 'developed', 'in', 'earlier', 'works', 'it', 'leads', 'to', 'local', 'limit', 'results', 'for', 'various', 'observables', 'eg', 'displacement', 'of', 'the', 'endpoint', 'or', 'number', 'of', 'hits', 'of', 'a', 'fixed', 'finite', 'pattern', 'on', 'paths', 'of', 'nstep', 'walks', 'polymers', 'on', 'all', 'possible', 'deviation', 'scales', 'from', 'clt', 'to', 'ld', 'the', 'class', 'of', 'models', 'which', 'display', 'ballistic', 'phase', 'in', 'the', 'universality', 'class', 'discussed', 'in', 'the', 'paper', 'includes', 'selfavoiding', 'walks', 'dombjoyce', 'model', 'random', 'walks', 'in', 'an', 'annealed', 'random', 'potential', 'reinforced', 'polymers', 'and', 'weakly', 'reinforced', 'random', 'walks']] | [-0.11289076421100709, 0.21133066834162867, -0.11075300216076098, 0.0005301991917834687, -0.02529097002336145, -0.17768588261052715, 0.06174412958359174, 0.38832934460594876, -0.2475207735390105, -0.19331282689510024, 0.048015489509063106, -0.28681186025477007, -0.16333550522534349, 0.17660632334696522, -0.0376508624671749, 0.09246933569802958, 0.01315289082303017, 0.016793181368408083, 0.0005167415849825352, -0.23274525743517868, 0.2269993495194759, 0.028095293085740394, 0.276549360558328, 0.02083772554369487, 0.09548309496251725, 0.06892878227248914, -0.02227854835135596, 0.08001339134267148, -0.16887674947120562, 0.07162499534232276, 0.12961886300522069, -0.027327130333434382, 0.24569249186398728, -0.4137903296333902, -0.2537850503254087, 0.14596810269349514, 0.12044676765444896, 0.15489898096406127, -0.039311408642444666, -0.29457492170808447, 0.03885682096837887, -0.15383627499696337, -0.1607135589891935, 0.009734285365351859, 0.034298044234169885, 0.09086273920315341, -0.27851634292018074, 0.08134541289583475, 0.08829095647787723, 0.049647007364497966, 0.020766714626938857, -0.08955998975830544, 0.05456822901913317, 0.0750769382370088, 0.048050671945983434, 0.026444912334403194, 0.1719093876460395, -0.1318892050737969, -0.18557835606067685, 0.39794739270964324, -0.08267819249079007, -0.19722976935479572, 0.21317088177638957, -0.14651691274200918, -0.18615800341466018, 0.128062767708408, 0.18312576234716327, 0.13810500190123728, -0.17441468480035288, 0.10451392709187568, -0.05941712480633199, 0.08499387117932324, 0.02868948059798289, -0.008259327209578091, 0.1874307330243853, 0.1934873181700456, 0.07089839033594653, 0.18146224362392196, -0.05477056939139211, -0.20043273848146906, -0.29180176840007244, -0.12996663214998835, -0.23507374442014217, 0.09696404966173552, -0.1748312626857244, -0.29012203470122916, 0.3658744775486656, 0.16862067323913718, 0.22368743892821694, 0.1707405159181422, 0.1862963876186111, 0.06468276053025317, 0.02109629658496931, 0.012459711502345294, 0.13785026080029852, 0.17482242816980897, 0.08774874031938956, -0.12548113823397536, 0.06116433862788493, 0.14604388924996456] |
710.3096 | Virtual Gravitons at the LHC | Virtual gravitons effects at the LHC in scenarios with large extra dimensions
and low-scale gravity are sensitive to the ultraviolet completion of the
Kaluza-Klein effective theory. We study implications of a gravitational fixed
point at high energies on gravitational Drell-Yan lepton production in hadron
collisions. The fixed point behaviour leads to finite LHC cross sections. We
determine the reach for the fundamental Planck scale. An observation of these
signals might shed light on the fundamental quantum theory of gravity.
| hep-ph | virtual gravitons effects at the lhc in scenarios with large extra dimensions and lowscale gravity are sensitive to the ultraviolet completion of the kaluzaklein effective theory we study implications of a gravitational fixed point at high energies on gravitational drellyan lepton production in hadron collisions the fixed point behaviour leads to finite lhc cross sections we determine the reach for the fundamental planck scale an observation of these signals might shed light on the fundamental quantum theory of gravity | [['virtual', 'gravitons', 'effects', 'at', 'the', 'lhc', 'in', 'scenarios', 'with', 'large', 'extra', 'dimensions', 'and', 'lowscale', 'gravity', 'are', 'sensitive', 'to', 'the', 'ultraviolet', 'completion', 'of', 'the', 'kaluzaklein', 'effective', 'theory', 'we', 'study', 'implications', 'of', 'a', 'gravitational', 'fixed', 'point', 'at', 'high', 'energies', 'on', 'gravitational', 'drellyan', 'lepton', 'production', 'in', 'hadron', 'collisions', 'the', 'fixed', 'point', 'behaviour', 'leads', 'to', 'finite', 'lhc', 'cross', 'sections', 'we', 'determine', 'the', 'reach', 'for', 'the', 'fundamental', 'planck', 'scale', 'an', 'observation', 'of', 'these', 'signals', 'might', 'shed', 'light', 'on', 'the', 'fundamental', 'quantum', 'theory', 'of', 'gravity']] | [-0.11433209264297274, 0.2585700551194177, -0.12369808997911742, 0.17122489261099055, -0.060560754235079395, -0.1344883364147825, 0.003816372454107468, 0.26715018564858767, -0.20341084116503974, -0.2632843238549142, 0.0233800958906878, -0.31283768488070635, -0.045003149847063835, 0.1490305753283297, 0.019428408073992293, 0.084329802003583, 0.04730828309024955, 0.013025062883720745, -0.04336368386291816, -0.25148483710599284, 0.3483532364288628, 0.13549640819966746, 0.2316857977664169, 0.16311993295491872, 0.0994459886599002, 0.03726202471452895, -0.06374883085498115, -0.054433596709483785, -0.11842123771534313, 0.08499172397467744, 0.2563736518385195, 0.0629595139791859, 0.1410964047182587, -0.41343993801163814, -0.18898039091897162, 0.13971358046077098, 0.10973821669416148, 0.16657271977997373, -0.06121222888520341, -0.2727738493416883, 0.10372699094535429, -0.17736158477543276, -0.1805666398928984, -0.015652876170469992, -0.008082780338635173, -0.10312933880611783, -0.25771158781562803, 0.013739906338005196, -0.10729546594150553, 0.04581718586821439, -0.02457606701970195, -0.12679173095045682, -0.021116552517831892, 0.03714673963811579, 0.13938988479962455, 0.00046269121414781373, 0.19907449795334023, -0.20865185521218832, -0.1848356501859483, 0.4194062454861742, -0.08441196558879147, -0.1367045597297057, 0.22069906346688542, -0.22934244761738595, -0.19188147246590048, 0.1310026109531003, 0.26413979131619364, 0.09906203495456448, -0.12017541069278045, 0.1903592855544301, 0.03145775953425637, 0.14045817830048712, 0.1199387948712499, 0.1282810927309756, 0.3381987322664148, 0.20229792495882964, 0.030633875569682334, 0.04427868593484163, -0.10151151451576926, -0.07550098769413897, -0.47971990590405217, -0.08020405660315617, -0.09367219636311071, 0.09294420630005011, -0.14544751345385543, -0.09793991895534004, 0.3072316609558803, 0.14843918584122123, 0.22994325496256351, 0.026833119990799247, 0.27988986936073657, 0.11900453813244365, 0.06222913877543392, 0.020195718925399116, 0.345384802197731, 0.12117102211694929, 0.1283306376831724, -0.26275742414725733, -0.0653377577199754, 0.09122301638126373] |
710.3097 | Interaction and thermodynamics of spinons in the XX chain | The mapping between the fermion and spinon compositions of eigenstates in the
one-dimensional spin-1/2 XX model on a lattice with N sites is used to describe
the spinon interaction from two different perspectives: (i) For finite N the
energy of all eigenstates is expressed as a function of spinon momenta and
spinon spins, which, in turn, are solutions of a set of Bethe ansatz equations.
The latter are the basis of an exact thermodynamic analysis in the spinon
representation of the XX model. (ii) For N -> infinity the energy per site of
spinon configurations involving any number of spinon orbitals is expressed as a
function of reduced variables representing momentum, filling, and magnetization
of each orbital. The spins of spinons in a single orbital are found to be
coupled in a manner well described by an Ising-like equivalent-neighbor
interaction, switching from ferromagnetic to antiferromagnetic as the filling
exceeds a critical level. Comparisons are made with results for the
Haldane-Shastry model.
| cond-mat.str-el | the mapping between the fermion and spinon compositions of eigenstates in the onedimensional spin12 xx model on a lattice with n sites is used to describe the spinon interaction from two different perspectives i for finite n the energy of all eigenstates is expressed as a function of spinon momenta and spinon spins which in turn are solutions of a set of bethe ansatz equations the latter are the basis of an exact thermodynamic analysis in the spinon representation of the xx model ii for n infinity the energy per site of spinon configurations involving any number of spinon orbitals is expressed as a function of reduced variables representing momentum filling and magnetization of each orbital the spins of spinons in a single orbital are found to be coupled in a manner well described by an isinglike equivalentneighbor interaction switching from ferromagnetic to antiferromagnetic as the filling exceeds a critical level comparisons are made with results for the haldaneshastry model | [['the', 'mapping', 'between', 'the', 'fermion', 'and', 'spinon', 'compositions', 'of', 'eigenstates', 'in', 'the', 'onedimensional', 'spin12', 'xx', 'model', 'on', 'a', 'lattice', 'with', 'n', 'sites', 'is', 'used', 'to', 'describe', 'the', 'spinon', 'interaction', 'from', 'two', 'different', 'perspectives', 'i', 'for', 'finite', 'n', 'the', 'energy', 'of', 'all', 'eigenstates', 'is', 'expressed', 'as', 'a', 'function', 'of', 'spinon', 'momenta', 'and', 'spinon', 'spins', 'which', 'in', 'turn', 'are', 'solutions', 'of', 'a', 'set', 'of', 'bethe', 'ansatz', 'equations', 'the', 'latter', 'are', 'the', 'basis', 'of', 'an', 'exact', 'thermodynamic', 'analysis', 'in', 'the', 'spinon', 'representation', 'of', 'the', 'xx', 'model', 'ii', 'for', 'n', 'infinity', 'the', 'energy', 'per', 'site', 'of', 'spinon', 'configurations', 'involving', 'any', 'number', 'of', 'spinon', 'orbitals', 'is', 'expressed', 'as', 'a', 'function', 'of', 'reduced', 'variables', 'representing', 'momentum', 'filling', 'and', 'magnetization', 'of', 'each', 'orbital', 'the', 'spins', 'of', 'spinons', 'in', 'a', 'single', 'orbital', 'are', 'found', 'to', 'be', 'coupled', 'in', 'a', 'manner', 'well', 'described', 'by', 'an', 'isinglike', 'equivalentneighbor', 'interaction', 'switching', 'from', 'ferromagnetic', 'to', 'antiferromagnetic', 'as', 'the', 'filling', 'exceeds', 'a', 'critical', 'level', 'comparisons', 'are', 'made', 'with', 'results', 'for', 'the', 'haldaneshastry', 'model']] | [-0.1910407034389209, 0.23057429797936493, -0.011954122850147542, 0.07333289859743672, -0.001370260087423958, -0.17581553339550737, 0.0679739312559832, 0.3214750655635726, -0.21588796797441318, -0.2718780906914617, 0.0016452001604193357, -0.3622829826272209, -0.05461250877851853, 0.13894857441919156, 0.10006818635156378, -0.0052799160082940945, 0.025140801328234375, 0.06370094334706664, -0.12596785217465367, -0.21305789923062549, 0.26947098107175405, -0.00313292678038124, 0.225661792390747, 0.0388252682343591, 0.092813928571195, 0.05045481260167435, 0.09455456665800739, -0.015230582188087283, -0.09783413213153835, 0.0968385574588865, 0.25682694088100105, -0.006647749189869501, 0.17819460476894164, -0.4005303125712089, -0.1638849842885975, 0.040859900723444295, 0.1975700210838113, 0.14104291202893365, 0.05263594926436781, -0.28345179910829754, -0.023956695417291486, -0.2100910745735746, -0.1602306568300264, -0.08749104055750649, -0.007268950393699925, 0.05222688081266824, -0.25514698620536364, 0.10283768402878195, 0.052667254457628584, 0.09969617736060173, -0.10976263244519942, -0.1456297012628056, -0.11517653805203736, 0.10434470267500728, 0.07746502891313867, 0.08014211992940545, 0.08332823529781308, -0.14753888845152688, -0.13216702990757767, 0.36659735898138024, -0.048474158538738266, -0.25890950300963594, 0.17759537637757603, -0.13387867361379904, -0.09078031024255324, 0.15155854826853102, 0.09848335616115947, 0.09249376894440502, -0.15609430789772888, 0.12094036083476567, -0.06384001388360047, 0.16789950062939168, -0.0028031664216541683, 0.053928920524776915, 0.27263922126730905, 0.15327181668253614, 0.03667787966842297, 0.18095879695683834, -0.06256828010518803, -0.15256328593968646, -0.31049039248609916, -0.18171548114405595, -0.27948081463036945, 0.07817418302074657, -0.09418401592965893, -0.19442316300119272, 0.4139600427763071, 0.10128923594602383, 0.2210786584939342, 0.003590813198388787, 0.1778522936932859, 0.15522697976857672, 0.04693544192850822, 0.051048129539412915, 0.15397097422683145, 0.15199259337241527, 0.04625196222186787, -0.2631270832614973, -0.0076008686170098375, 0.12727509207470575] |
710.3098 | Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey | After a brief summary of the main properties of Poisson manifolds and Lie
algebroids in general, we survey recent work on the modular classes of Poisson
and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted
Poisson structure, and of Poisson-Nijenhuis manifolds. A review of the spinor
approach to the modular class concludes the paper.
| math.SG math-ph math.MP | after a brief summary of the main properties of poisson manifolds and lie algebroids in general we survey recent work on the modular classes of poisson and twisted poisson manifolds of lie algebroids with a poisson or twisted poisson structure and of poissonnijenhuis manifolds a review of the spinor approach to the modular class concludes the paper | [['after', 'a', 'brief', 'summary', 'of', 'the', 'main', 'properties', 'of', 'poisson', 'manifolds', 'and', 'lie', 'algebroids', 'in', 'general', 'we', 'survey', 'recent', 'work', 'on', 'the', 'modular', 'classes', 'of', 'poisson', 'and', 'twisted', 'poisson', 'manifolds', 'of', 'lie', 'algebroids', 'with', 'a', 'poisson', 'or', 'twisted', 'poisson', 'structure', 'and', 'of', 'poissonnijenhuis', 'manifolds', 'a', 'review', 'of', 'the', 'spinor', 'approach', 'to', 'the', 'modular', 'class', 'concludes', 'the', 'paper']] | [-0.1839611887474332, 0.002773005809438856, -0.055380299916131456, 0.07589591236523631, -0.20150218472669, -0.07779032894687955, -0.03204524204780331, 0.38009179305089147, -0.3069848337112681, -0.2464521249527471, 0.07155736401195131, -0.19625685396685935, -0.26242530416582893, 0.19150787117694945, -0.1709306170314289, -0.005012299604060357, 0.10286554269361914, 0.11579888646507211, -0.17171041498352824, -0.3117086008934533, 0.5704631193688041, 0.10193657871793237, 0.2530737715536369, -0.017637088788640603, 0.1395538626075314, -0.01286170023019638, -0.07756729633138891, -0.030603836658165642, -0.15182293900860505, 0.1670254914972343, 0.2561910153905812, -0.030792765719652698, 0.19437638927953677, -0.3886688790823284, -0.12992469144560265, 0.07412702046955626, 0.08519803483463954, 0.008236592962292203, -7.120395904374228e-05, -0.3512851085448474, 0.06565277311101295, -0.17635739679660714, -0.15870899033912442, -0.04733321632732425, -0.012784656202583983, 0.07556101794174888, -0.16118528956053124, 0.019694206811356963, 0.16120214226018442, 0.12602423620001788, -0.10707646211315143, -0.14050675695557802, -0.01759699552336283, 0.01440614848724452, -0.03608439210189605, 0.0039046038710103745, 0.14764398990787173, -0.09112959600200779, -0.16972273382309236, 0.3836552893514173, -0.02538311004377248, -0.2198417113538374, 0.09626942400191502, -0.11420723495253346, -0.31478769248841626, 0.08541567556012683, 0.1331698087681281, 0.15169672646739504, -0.13961004336025534, 0.1460157572016071, -0.06149227213800738, -0.07248906427667591, 0.06502663517338142, -0.04034362645439902, 0.2007394829732284, 0.20554505946245372, 0.07095173274150543, 0.09186535124389227, -0.016847155404097418, -0.1302997976410807, -0.38234841771293104, -0.2100832372528027, -0.044466370161165274, 0.22145395516826397, -0.06381025921738208, -0.20449763636121102, 0.4587080342727795, 0.05823821298320565, 0.21531839857057652, 0.13553370739611095, 0.18893363816957726, 0.056955101311598956, 0.010094895828188512, 0.01621665725925643, 0.0806968776149708, 0.3035186934693341, 0.0765667340162684, -0.03479087313539103, -0.15928105143789334, 0.11752734877365201] |
710.3099 | Short Gamma Ray Bursts: a bimodal origin? | Short-hard Gamma Ray Bursts (SGRBs) are currently thought to arise from
gravitational wave driven coalescences of double neutron star systems forming
either in the field or dynamically in globular clusters. For both channels we
fit the peak flux distribution of BATSE SGRBs to derive the local burst
formation rate and luminosity function. We then compare the resulting redshift
distribution with Swift 2-year data, showing that both formation channels are
needed in order to reproduce the observations. Double neutron stars forming in
globular clusters are found to dominate the distribution at z<0.3, whereas the
field population from primordial binaries can account for the high-z SGRBs.
This result is not in contradiction with the observed host galaxy type of
SGRBs.
| astro-ph | shorthard gamma ray bursts sgrbs are currently thought to arise from gravitational wave driven coalescences of double neutron star systems forming either in the field or dynamically in globular clusters for both channels we fit the peak flux distribution of batse sgrbs to derive the local burst formation rate and luminosity function we then compare the resulting redshift distribution with swift 2year data showing that both formation channels are needed in order to reproduce the observations double neutron stars forming in globular clusters are found to dominate the distribution at z03 whereas the field population from primordial binaries can account for the highz sgrbs this result is not in contradiction with the observed host galaxy type of sgrbs | [['shorthard', 'gamma', 'ray', 'bursts', 'sgrbs', 'are', 'currently', 'thought', 'to', 'arise', 'from', 'gravitational', 'wave', 'driven', 'coalescences', 'of', 'double', 'neutron', 'star', 'systems', 'forming', 'either', 'in', 'the', 'field', 'or', 'dynamically', 'in', 'globular', 'clusters', 'for', 'both', 'channels', 'we', 'fit', 'the', 'peak', 'flux', 'distribution', 'of', 'batse', 'sgrbs', 'to', 'derive', 'the', 'local', 'burst', 'formation', 'rate', 'and', 'luminosity', 'function', 'we', 'then', 'compare', 'the', 'resulting', 'redshift', 'distribution', 'with', 'swift', '2year', 'data', 'showing', 'that', 'both', 'formation', 'channels', 'are', 'needed', 'in', 'order', 'to', 'reproduce', 'the', 'observations', 'double', 'neutron', 'stars', 'forming', 'in', 'globular', 'clusters', 'are', 'found', 'to', 'dominate', 'the', 'distribution', 'at', 'z03', 'whereas', 'the', 'field', 'population', 'from', 'primordial', 'binaries', 'can', 'account', 'for', 'the', 'highz', 'sgrbs', 'this', 'result', 'is', 'not', 'in', 'contradiction', 'with', 'the', 'observed', 'host', 'galaxy', 'type', 'of', 'sgrbs']] | [-0.07819090641529883, 0.14573421612948226, -0.059367186646371826, 0.23156689941662095, -0.12131484649568339, -0.03597454047935494, 0.05410530712550222, 0.43627952680118004, -0.17180371803618272, -0.3346187024361501, -0.012297083814115406, -0.338878778046218, 0.0015308174121038695, 0.2501284013012961, 0.0095598404848222, -0.0430610027614097, 0.1015737039921016, -0.0676164831019054, -0.03659591350743401, -0.2918270429521326, 0.323015156926161, 0.0935048440518647, 0.1728854871323427, -0.1125878672691662, 0.010426624809289194, -0.04894527054581223, -0.05308077653270152, -0.0676858839500001, -0.15585723384590552, -0.04063714967381556, 0.27544031403682556, 0.14491275436702675, 0.13657263313593754, -0.39786014650648427, -0.2504414603502837, 0.129803805379197, 0.20140649107190134, 0.05676020327481931, -0.09294822297287884, -0.2836984330314701, 0.08171837808469594, -0.22683136527805384, -0.16246842514127652, 0.09298307833388068, 0.02360619278821968, 0.13010032160771948, -0.20786575037765048, 0.17678648195233418, 0.004491323680159146, -0.03871790854007763, -0.1269662083862586, -0.030170199228450656, -0.014836788173543952, 0.04974078827229786, 0.07006191652291849, 0.10249073894041338, 0.17148515114252913, -0.13463843411221404, -0.07970830433907271, 0.38729816441566256, -0.026469950387609523, 0.03426719000523563, 0.1944376347918, -0.2790853664894604, -0.20968710667043292, 0.16171584808725423, 0.1492768444191917, 0.0790404115065585, -0.19562139701575704, -0.02210103445814654, 0.05939377792847, 0.20788552975124222, 0.05513121646639528, 0.08559719350209195, 0.3561357125655701, 0.09936021706799708, -0.009978807049850791, 0.07803384348813255, -0.24293678893186785, -0.03206807869028742, -0.26477198630287235, -0.03877070659013875, -0.1483916782742461, 0.11658878760832614, -0.08806180736724331, -0.151989566335865, 0.31600982716338616, 0.025621139843478576, 0.17780158417378317, 0.10024027385459365, 0.21467446933610965, 0.11284593586371895, 0.11670919420923721, 0.12018717138759666, 0.3115886876643714, 0.1691219669735154, 0.04112073551405663, -0.2447351473896622, 0.11828886043162962, -0.02859945460301587] |
710.31 | Testing extra dimensions below the production threshold of Kaluza-Klein
excitations | We consider a stabilized RS1 model in the energy range below the direct
production of KK states. In this range we work out the effective Lagrangian due
to exchange of heavy KK tensor graviton and scalar radion states and compute
explicitly the corresponding effective coupling constants. As an example, the
Drell-Yan lepton pair production at the Tevatron and the LHC is analyzed in two
situations, when the first KK resonance is too heavy to be directly detected at
the colliders, and when the first KK resonance is visible but other states are
still too heavy. It is shown that in both cases the contribution from the KK
invisible tower leads to a modification of final particles distributions. In
particular, for the second case a nontrivial interference between the first KK
mode and the rest KK tower takes place. Expected 95% CL limits for model
parameters for the Tevatron and the LHC are given. In the Appendix useful
formulas for the cross sections and distributions of various new $2\to2$
processes via heavy KK tower exchange are presented, the new formulas
containing nonzero particle masses for final state fermions and bosons. The
formulas and numerical results are obtained by means of the CompHEP code, in
which all new effective interactions are implemented providing a tool for
simulation of corresponding events and a more detailed analysis.
| hep-ph hep-th | we consider a stabilized rs1 model in the energy range below the direct production of kk states in this range we work out the effective lagrangian due to exchange of heavy kk tensor graviton and scalar radion states and compute explicitly the corresponding effective coupling constants as an example the drellyan lepton pair production at the tevatron and the lhc is analyzed in two situations when the first kk resonance is too heavy to be directly detected at the colliders and when the first kk resonance is visible but other states are still too heavy it is shown that in both cases the contribution from the kk invisible tower leads to a modification of final particles distributions in particular for the second case a nontrivial interference between the first kk mode and the rest kk tower takes place expected 95 cl limits for model parameters for the tevatron and the lhc are given in the appendix useful formulas for the cross sections and distributions of various new 2to2 processes via heavy kk tower exchange are presented the new formulas containing nonzero particle masses for final state fermions and bosons the formulas and numerical results are obtained by means of the comphep code in which all new effective interactions are implemented providing a tool for simulation of corresponding events and a more detailed analysis | [['we', 'consider', 'a', 'stabilized', 'rs1', 'model', 'in', 'the', 'energy', 'range', 'below', 'the', 'direct', 'production', 'of', 'kk', 'states', 'in', 'this', 'range', 'we', 'work', 'out', 'the', 'effective', 'lagrangian', 'due', 'to', 'exchange', 'of', 'heavy', 'kk', 'tensor', 'graviton', 'and', 'scalar', 'radion', 'states', 'and', 'compute', 'explicitly', 'the', 'corresponding', 'effective', 'coupling', 'constants', 'as', 'an', 'example', 'the', 'drellyan', 'lepton', 'pair', 'production', 'at', 'the', 'tevatron', 'and', 'the', 'lhc', 'is', 'analyzed', 'in', 'two', 'situations', 'when', 'the', 'first', 'kk', 'resonance', 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'masses', 'for', 'final', 'state', 'fermions', 'and', 'bosons', 'the', 'formulas', 'and', 'numerical', 'results', 'are', 'obtained', 'by', 'means', 'of', 'the', 'comphep', 'code', 'in', 'which', 'all', 'new', 'effective', 'interactions', 'are', 'implemented', 'providing', 'a', 'tool', 'for', 'simulation', 'of', 'corresponding', 'events', 'and', 'a', 'more', 'detailed', 'analysis']] | [-0.09851812970818798, 0.22580548944616025, -0.07764989544763835, 0.15839616988938002, -0.04575623172615141, -0.14609989839827334, 0.028493828731672544, 0.2855724211105651, -0.2141187441620909, -0.2986553004303855, 0.02782854437045001, -0.3014074384251551, -0.027935910464636147, 0.18714032729830793, 0.07873981866056064, 0.048160651682003196, 0.08319584582201435, 0.051707034137083274, -0.0051770657263101065, -0.22791856061980428, 0.3081479094266858, 0.048673683046592996, 0.22224644175208605, 0.12513307967920675, 0.060618409321062904, 0.03942895895016334, -0.01505231765263835, -0.06648305442330936, 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710.3101 | Moving NRQCD and B to K* gamma | The formulation of NRQCD discretized in a reference frame boosted relative to
the B rest frame will enable calculation of B form factors over a larger range
of momentum transfer. We have initiated a program to calculate form factors
describing the rare decay B to K* gamma. We discuss the strategy and challenges
of the project. As a first step in the numerical calculations, we present first
results for bottomonium quantities using the O(Lambda_{QCD}^2/m^2, v_{NR}^4)
moving NRQCD action.
| hep-lat | the formulation of nrqcd discretized in a reference frame boosted relative to the b rest frame will enable calculation of b form factors over a larger range of momentum transfer we have initiated a program to calculate form factors describing the rare decay b to k gamma we discuss the strategy and challenges of the project as a first step in the numerical calculations we present first results for bottomonium quantities using the olambda_qcd2m2 v_nr4 moving nrqcd action | [['the', 'formulation', 'of', 'nrqcd', 'discretized', 'in', 'a', 'reference', 'frame', 'boosted', 'relative', 'to', 'the', 'b', 'rest', 'frame', 'will', 'enable', 'calculation', 'of', 'b', 'form', 'factors', 'over', 'a', 'larger', 'range', 'of', 'momentum', 'transfer', 'we', 'have', 'initiated', 'a', 'program', 'to', 'calculate', 'form', 'factors', 'describing', 'the', 'rare', 'decay', 'b', 'to', 'k', 'gamma', 'we', 'discuss', 'the', 'strategy', 'and', 'challenges', 'of', 'the', 'project', 'as', 'a', 'first', 'step', 'in', 'the', 'numerical', 'calculations', 'we', 'present', 'first', 'results', 'for', 'bottomonium', 'quantities', 'using', 'the', 'olambda_qcd2m2', 'v_nr4', 'moving', 'nrqcd', 'action']] | [-0.09921405037044008, 0.12871593107640938, -0.11291698937910903, 0.01844150221931111, -0.03356118638705658, -0.08056480240223832, 0.09152697473818032, 0.38524558517689766, -0.24133032578729877, -0.254039221198151, -0.0018084906133528996, -0.2581954115364504, -0.04628815857378006, 0.13596064375872774, 0.02120260790137476, 0.08209393276391845, 0.12019966045811184, 0.035651093171174195, -0.1425237533909048, -0.17398289993625918, 0.283513763833693, 0.06466770599179558, 0.19760212679638675, 0.042696275196871476, 0.04678114503622055, 0.019622912526277726, -0.10673887863461125, -0.001015160085731431, -0.15062947076818856, 0.13123749582538088, 0.22346269892602177, 0.12550892511774836, 0.2699456445897292, -0.3578804674876952, -0.14491227668661036, 0.06220726757065246, 0.12996747676209597, 0.12872344652484907, -0.013646314851939678, -0.2578954929485917, 0.09868193666548714, -0.22596270649840958, -0.12287520710991598, -0.11163460703468636, 0.051596081055896845, -0.03795860084018817, -0.3129242886789143, 0.021663110592941705, -0.009995384070862201, 0.017998309279343965, -0.08008548095944877, -0.17177598945502387, 0.05022276864742468, 0.14530367063554495, 0.07307671666096308, 0.08179174571935284, 0.15026626482875527, -0.1235307872258617, -0.13734541734141348, 0.47423887037132917, -0.13576477169714818, -0.18165752914195, 0.12586510054595573, -0.17409120549104715, -0.14326666242528804, 0.11846930439289856, 0.24893045247422138, 0.15442731104006893, -0.16317298348478385, 0.06798781351550899, -0.01546605191144504, 0.10626433566702824, 0.062117240318146194, 0.032578842420327034, 0.1605376118156863, 0.14567415325559283, -0.03014936212658588, 0.11725879489064314, -0.09090992292438291, -0.07611018732974403, -0.40981844400888995, -0.1906022032673814, -0.10691693753592278, 0.06098988176151914, -0.016957584321062313, -0.11230828854451447, 0.3693844843839638, 0.12373762900671481, 0.22708111127078728, 0.030004071433244173, 0.2784937612810417, 0.10686655627949604, 0.06758681962827195, 0.09450275726052687, 0.23463564189641098, 0.14593339973668518, 0.11245534448167555, -0.2506584411419585, -0.013547092265645532, 0.10977380690287407] |
710.3102 | The High Density Region of QCD from an Effective Model | We study the high density region of QCD within an effective model obtained in
the frame of the hopping parameter expansion and choosing Polyakov-type loops
as the main dynamical variables representing the fermionic matter. This model
still shows the so-called sign problem, a difficulty peculiar to non-zero
chemical potential, but it permits the development of algorithms which ensure a
good overlap of the simulated Monte Carlo ensemble with the true one. We review
the main features of the model and present results concerning the dependence of
various observables on the chemical potential and on the temperature, in
particular of the charge density and the Polykov loop susceptibility, which may
be used to characterize the various phases expected at high baryonic density.
In this way, we obtain information about the phase structure of the model and
the corresponding phase transitions and cross over regions, which can be
considered as hints about the behaviour of non-zero density QCD.
| hep-lat hep-ph hep-th | we study the high density region of qcd within an effective model obtained in the frame of the hopping parameter expansion and choosing polyakovtype loops as the main dynamical variables representing the fermionic matter this model still shows the socalled sign problem a difficulty peculiar to nonzero chemical potential but it permits the development of algorithms which ensure a good overlap of the simulated monte carlo ensemble with the true one we review the main features of the model and present results concerning the dependence of various observables on the chemical potential and on the temperature in particular of the charge density and the polykov loop susceptibility which may be used to characterize the various phases expected at high baryonic density in this way we obtain information about the phase structure of the model and the corresponding phase transitions and cross over regions which can be considered as hints about the behaviour of nonzero density qcd | [['we', 'study', 'the', 'high', 'density', 'region', 'of', 'qcd', 'within', 'an', 'effective', 'model', 'obtained', 'in', 'the', 'frame', 'of', 'the', 'hopping', 'parameter', 'expansion', 'and', 'choosing', 'polyakovtype', 'loops', 'as', 'the', 'main', 'dynamical', 'variables', 'representing', 'the', 'fermionic', 'matter', 'this', 'model', 'still', 'shows', 'the', 'socalled', 'sign', 'problem', 'a', 'difficulty', 'peculiar', 'to', 'nonzero', 'chemical', 'potential', 'but', 'it', 'permits', 'the', 'development', 'of', 'algorithms', 'which', 'ensure', 'a', 'good', 'overlap', 'of', 'the', 'simulated', 'monte', 'carlo', 'ensemble', 'with', 'the', 'true', 'one', 'we', 'review', 'the', 'main', 'features', 'of', 'the', 'model', 'and', 'present', 'results', 'concerning', 'the', 'dependence', 'of', 'various', 'observables', 'on', 'the', 'chemical', 'potential', 'and', 'on', 'the', 'temperature', 'in', 'particular', 'of', 'the', 'charge', 'density', 'and', 'the', 'polykov', 'loop', 'susceptibility', 'which', 'may', 'be', 'used', 'to', 'characterize', 'the', 'various', 'phases', 'expected', 'at', 'high', 'baryonic', 'density', 'in', 'this', 'way', 'we', 'obtain', 'information', 'about', 'the', 'phase', 'structure', 'of', 'the', 'model', 'and', 'the', 'corresponding', 'phase', 'transitions', 'and', 'cross', 'over', 'regions', 'which', 'can', 'be', 'considered', 'as', 'hints', 'about', 'the', 'behaviour', 'of', 'nonzero', 'density', 'qcd']] | [-0.11178802733549908, 0.13370308175301857, -0.11349328985670581, 0.06797323274245906, -0.013173876483474047, -0.06079948806248966, 0.06920989435015908, 0.3373027290788389, -0.24956726654763184, -0.32914836522071594, 0.08667830184417506, -0.25579576677672805, -0.11983602026086901, 0.12647612887554832, 0.01916808062664894, 0.050572972603502776, 0.008618313083124737, 0.06604228141987997, -0.10371909380079278, -0.20757142458441516, 0.3095393955166782, 0.07147154796928648, 0.2621530998978884, 0.08911137674604692, 0.08295713014780513, -0.007773146024274249, -0.03333701746117684, 0.026904409773076975, -0.14737443654016863, 0.08401237514748748, 0.20826260092397852, 0.06624589152333717, 0.2009137805536269, -0.3932857522680875, -0.23499337696290065, 0.1243992660314806, 0.13546007506609445, 0.13254038938546492, -0.04363085810966309, -0.2658770780649877, 0.041432488466342614, -0.17068143500796248, -0.16085295954704165, -0.09501586920551715, -0.02729626928846682, 0.011347579475372068, -0.2621167618559764, 0.09555134906850364, 0.00812510086369941, 0.014303283304757167, -0.06345493687098966, -0.14605369227487713, -0.03324358851889209, 0.13375631321762357, 0.05841639331136379, 0.0474473480593353, 0.12467987162151163, -0.17710898962893312, -0.08065478469755862, 0.38443862776001614, -0.063383985198884, -0.14301410740421663, 0.1857372762755521, -0.17850395429498261, -0.1259389397305166, 0.1118873497230872, 0.1489815193829277, 0.10300686834980884, -0.14472916347402778, 0.07488347935234947, 0.004654875511844312, 0.16059558698006215, 0.014973933597455823, 0.04436047286576321, 0.24731656588133305, 0.1500858608918685, 0.02836072205475742, 0.12396779292893986, -0.08478387184741516, -0.14669074794397718, -0.33449300894693984, -0.13564573321453927, -0.1650572027034697, 0.0006292396976101783, -0.13182721645364748, -0.18212651960371481, 0.4324503465044883, 0.19410636239655077, 0.24424662051962748, -0.0018221139900326249, 0.29112512606887087, 0.1268562842325698, 0.05825476152521949, 0.046663133337372736, 0.21956213187846926, 0.15936398033293026, 0.10186434092165361, -0.26623167131066083, 0.06308014268776582, 0.047261994932928396] |
710.3103 | The twist-3 parton distribution function e(x) in large-Nc chiral theory | The chirally-odd twist-3 parton distribution function e(x) of the nucleon is
studied in the large-Nc limit in the framework of the chiral quark-soliton
model. It is demonstrated that in spite of properties not shared by other
distribution functions, namely the appearance of a delta(x)-singularity and
quadratic divergences in e(x), an equally reliable calculation is possible.
Among the most remarkable results obtained in this work is the fact that the
coefficient of the delta(x)-singularity can be computed exactly in this model,
avoiding involved numerics. Our results complete existing studies in
literature.
| hep-ph | the chirallyodd twist3 parton distribution function ex of the nucleon is studied in the largenc limit in the framework of the chiral quarksoliton model it is demonstrated that in spite of properties not shared by other distribution functions namely the appearance of a deltaxsingularity and quadratic divergences in ex an equally reliable calculation is possible among the most remarkable results obtained in this work is the fact that the coefficient of the deltaxsingularity can be computed exactly in this model avoiding involved numerics our results complete existing studies in literature | [['the', 'chirallyodd', 'twist3', 'parton', 'distribution', 'function', 'ex', 'of', 'the', 'nucleon', 'is', 'studied', 'in', 'the', 'largenc', 'limit', 'in', 'the', 'framework', 'of', 'the', 'chiral', 'quarksoliton', 'model', 'it', 'is', 'demonstrated', 'that', 'in', 'spite', 'of', 'properties', 'not', 'shared', 'by', 'other', 'distribution', 'functions', 'namely', 'the', 'appearance', 'of', 'a', 'deltaxsingularity', 'and', 'quadratic', 'divergences', 'in', 'ex', 'an', 'equally', 'reliable', 'calculation', 'is', 'possible', 'among', 'the', 'most', 'remarkable', 'results', 'obtained', 'in', 'this', 'work', 'is', 'the', 'fact', 'that', 'the', 'coefficient', 'of', 'the', 'deltaxsingularity', 'can', 'be', 'computed', 'exactly', 'in', 'this', 'model', 'avoiding', 'involved', 'numerics', 'our', 'results', 'complete', 'existing', 'studies', 'in', 'literature']] | [-0.0859994594564383, 0.10586411469156357, -0.1202859452952186, 0.08514267535633996, -0.018709567964248275, -0.0476560498823294, 0.00625676481888212, 0.377833215584015, -0.21549529133862333, -0.24060074899388456, 0.016598960177319915, -0.30180453800264445, -0.1712691123348436, 0.16624255112811237, -0.03453192772108248, 0.06985127541166998, 0.04693521888948035, 0.01728106176630519, -0.05650802890719289, -0.25004755170218346, 0.3023575957564787, 0.044110918531312084, 0.28552143181535017, 0.11876689200021925, 0.0379729734937093, 0.032055348398741974, -0.050935909098506656, -0.003442286734533464, -0.09511797206998862, 0.11766420893542383, 0.25949779820853264, 0.10208987060217749, 0.2073652546467452, -0.39866246184569665, -0.2209661742458227, 0.08196646673069603, 0.15043826790890474, 0.09537489109554853, -0.00513488049458327, -0.20845787418770723, 0.08494008743691248, -0.1880573677220221, -0.1628464493932652, -0.10127070787009494, -0.011855017476121029, -0.019411370190310067, -0.27306027391968274, 0.10731117876417849, 0.06772088842873258, 0.019909847335054957, -0.045171232795043065, -0.15644182344020782, -0.022822872526815224, 0.10922445714388085, 0.10880113459706049, 0.07682109237702071, 0.07158980268085825, -0.20324144670311575, -0.1256977473546205, 0.3807040198502698, -0.0437343241860983, -0.2201460112935339, 0.13309202125916877, -0.18158040886166796, -0.16306524439019032, 0.07872923584547879, 0.09218035543594381, 0.15132492797813196, -0.2123552025670464, 0.09992959933695329, -0.09665334883852508, 0.14063940652052004, 0.039867701233717905, 0.03603254623133047, 0.13677721086290034, 0.1525696755397594, -0.03035780762311542, 0.11459736300608271, -0.018363172675472224, -0.1560444675349823, -0.3282013812113082, -0.1027112581831371, -0.2259104745676634, -0.0074726177803334385, -0.09214558755298514, -0.14179767094333068, 0.3974340790561561, 0.150465062278826, 0.23371937541403517, 0.014671818460284293, 0.31558678853700217, 0.15314827174959897, 0.10533327077269211, 0.053814670991623535, 0.2715080766456908, 0.11467848066775792, 0.058555114168630934, -0.22644039062547616, 0.1002281682362416, 0.04589735128884685] |
710.3104 | The Galactic Bulge: A Review | The Milky Way is the only galaxy for which we can resolve individual stars at
all evolutionary phases, from the Galactic center to the outskirt. The last
decade, thanks to the advent of near IR detectors and 8 meter class telescopes,
has seen a great progress in the understanding of the Milky Way central region:
the bulge. Here we review the most recent results regarding the bulge
structure, age, kinematics and chemical composition. These results have
profound implications for the formation and evolution of the Milky Way and of
galaxies in general. This paper provides a summary on our current understanding
of the Milky Way bulge, intended mainly for workers on other fields.
| astro-ph | the milky way is the only galaxy for which we can resolve individual stars at all evolutionary phases from the galactic center to the outskirt the last decade thanks to the advent of near ir detectors and 8 meter class telescopes has seen a great progress in the understanding of the milky way central region the bulge here we review the most recent results regarding the bulge structure age kinematics and chemical composition these results have profound implications for the formation and evolution of the milky way and of galaxies in general this paper provides a summary on our current understanding of the milky way bulge intended mainly for workers on other fields | [['the', 'milky', 'way', 'is', 'the', 'only', 'galaxy', 'for', 'which', 'we', 'can', 'resolve', 'individual', 'stars', 'at', 'all', 'evolutionary', 'phases', 'from', 'the', 'galactic', 'center', 'to', 'the', 'outskirt', 'the', 'last', 'decade', 'thanks', 'to', 'the', 'advent', 'of', 'near', 'ir', 'detectors', 'and', '8', 'meter', 'class', 'telescopes', 'has', 'seen', 'a', 'great', 'progress', 'in', 'the', 'understanding', 'of', 'the', 'milky', 'way', 'central', 'region', 'the', 'bulge', 'here', 'we', 'review', 'the', 'most', 'recent', 'results', 'regarding', 'the', 'bulge', 'structure', 'age', 'kinematics', 'and', 'chemical', 'composition', 'these', 'results', 'have', 'profound', 'implications', 'for', 'the', 'formation', 'and', 'evolution', 'of', 'the', 'milky', 'way', 'and', 'of', 'galaxies', 'in', 'general', 'this', 'paper', 'provides', 'a', 'summary', 'on', 'our', 'current', 'understanding', 'of', 'the', 'milky', 'way', 'bulge', 'intended', 'mainly', 'for', 'workers', 'on', 'other', 'fields']] | [-0.054346724545204006, 0.03597373484048696, -0.10220809999968758, 0.05574853936688299, -0.1336831075089893, 0.007901618553869493, 0.03136954434417946, 0.3967939711843444, -0.20161570474789767, -0.365017858160808, 0.04191678452441485, -0.27199633336271595, -0.07725761660613713, 0.23348772023038, -0.04136805967206292, -0.010133261704792689, 0.07176680601638767, -0.05866452685837527, -0.03318593908818356, -0.292262974267298, 0.3237201521436857, 0.08249257581588705, 0.1975461637180925, -0.004235481736209013, 0.057578991383594354, -0.06795239021004368, -0.0880677605921452, -0.03656323053729844, -0.16409554284692338, 0.12949787572219934, 0.2688212204823452, 0.1431220132750418, 0.25561212328163724, -0.42907665923765276, -0.21947022832402613, 0.07381931968049797, 0.22145065216479443, 0.1138768088663887, -0.15997903317056464, -0.25189834388912513, 0.06565297740012968, -0.1727865666184014, -0.2008695540685965, 0.03955884759141281, 0.044457111157378, 0.008430658950907203, -0.12287895443933744, 0.05749572710179419, 0.048096543432427655, 0.07642614461720583, -0.08524831688336501, -0.1398526969297781, -0.00592296247255156, 0.15426204725687878, 0.02909023920228639, 0.09191421803037546, 0.1917308521275697, -0.18842957160369683, -0.06296360433777481, 0.39993531082188133, -0.04111605133053608, -0.002167585027709076, 0.246190070232327, -0.24251997603355407, -0.2039039744583445, 0.011008637755350993, 0.16598835834755307, 0.10903616947641151, -0.2022323754695409, 0.08400449322215157, -0.023938373901543363, 0.13944243526795005, 0.04709608874291973, 0.07565001566934015, 0.3532199624563213, 0.17876608040496972, 0.09497891689920633, 0.051040800943026994, -0.15812786989144784, -0.1134952698768306, -0.2319223291582667, -0.1524619237948374, -0.08197482342036458, 0.07249217571080786, -0.10088032028644008, -0.06864689686129578, 0.41960346734612786, 0.15003081895225573, 0.21619688287641095, 0.015963071794712718, 0.32011114050988604, 0.01627858445167838, 0.1319729198528602, 0.07877957512237198, 0.3152602478301367, 0.1608319132943201, 0.12680229140379656, -0.203507385090966, 0.13028371960967286, -0.0036494090567977555] |
710.3105 | WFPC2 LRF Imaging of Emission Line Nebulae in 3CR Radio Galaxies | We present HST/WFPC2 Linear Ramp Filter images of high surface brightness
emission lines (either [OII], [OIII], or H-alpha+[NII]) in 80 3CR radio
sources. We overlay the emission line images on high resolution VLA radio
images (eight of which are new reductions of archival data) in order to examine
the spatial relationship between the optical and radio emission. We confirm
that the radio and optical emission line structures are consistent with weak
alignment at low redshift (z < 0.6) except in the Compact Steep Spectrum (CSS)
radio galaxies where both the radio source and the emission line nebulae are on
galactic scales and strong alignment is seen at all redshifts. There are weak
trends for the aligned emission line nebulae to be more luminous, and for the
emission line nebula size to increase with redshift and/or radio power. The
combination of these results suggests that there is a limited but real capacity
for the radio source to influence the properties of the emission line nebulae
at these low redshifts (z < 0.6). Our results are consistent with previous
suggestions that both mechanical and radiant energy are responsible for
generating alignment between the radio source and emission line gas.
| astro-ph | we present hstwfpc2 linear ramp filter images of high surface brightness emission lines either oii oiii or halphanii in 80 3cr radio sources we overlay the emission line images on high resolution vla radio images eight of which are new reductions of archival data in order to examine the spatial relationship between the optical and radio emission we confirm that the radio and optical emission line structures are consistent with weak alignment at low redshift z 06 except in the compact steep spectrum css radio galaxies where both the radio source and the emission line nebulae are on galactic scales and strong alignment is seen at all redshifts there are weak trends for the aligned emission line nebulae to be more luminous and for the emission line nebula size to increase with redshift andor radio power the combination of these results suggests that there is a limited but real capacity for the radio source to influence the properties of the emission line nebulae at these low redshifts z 06 our results are consistent with previous suggestions that both mechanical and radiant energy are responsible for generating alignment between the radio source and emission line gas | [['we', 'present', 'hstwfpc2', 'linear', 'ramp', 'filter', 'images', 'of', 'high', 'surface', 'brightness', 'emission', 'lines', 'either', 'oii', 'oiii', 'or', 'halphanii', 'in', '80', '3cr', 'radio', 'sources', 'we', 'overlay', 'the', 'emission', 'line', 'images', 'on', 'high', 'resolution', 'vla', 'radio', 'images', 'eight', 'of', 'which', 'are', 'new', 'reductions', 'of', 'archival', 'data', 'in', 'order', 'to', 'examine', 'the', 'spatial', 'relationship', 'between', 'the', 'optical', 'and', 'radio', 'emission', 'we', 'confirm', 'that', 'the', 'radio', 'and', 'optical', 'emission', 'line', 'structures', 'are', 'consistent', 'with', 'weak', 'alignment', 'at', 'low', 'redshift', 'z', '06', 'except', 'in', 'the', 'compact', 'steep', 'spectrum', 'css', 'radio', 'galaxies', 'where', 'both', 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710.3106 | ADIPLS -- the Aarhus adiabatic oscillation package | Development of the Aarhus adiabatic pulsation code started around 1978.
Although the main features have been stable for more than a decade, development
of the code is continuing, concerning numerical properties and output. The code
has been provided as a generally available package and has seen substantial use
at a number of installations. Further development of the package, including
bringing the documentation closer to being up to date, is planned as part of
the HELAS Coordination Action.
| astro-ph | development of the aarhus adiabatic pulsation code started around 1978 although the main features have been stable for more than a decade development of the code is continuing concerning numerical properties and output the code has been provided as a generally available package and has seen substantial use at a number of installations further development of the package including bringing the documentation closer to being up to date is planned as part of the helas coordination action | [['development', 'of', 'the', 'aarhus', 'adiabatic', 'pulsation', 'code', 'started', 'around', '1978', 'although', 'the', 'main', 'features', 'have', 'been', 'stable', 'for', 'more', 'than', 'a', 'decade', 'development', 'of', 'the', 'code', 'is', 'continuing', 'concerning', 'numerical', 'properties', 'and', 'output', 'the', 'code', 'has', 'been', 'provided', 'as', 'a', 'generally', 'available', 'package', 'and', 'has', 'seen', 'substantial', 'use', 'at', 'a', 'number', 'of', 'installations', 'further', 'development', 'of', 'the', 'package', 'including', 'bringing', 'the', 'documentation', 'closer', 'to', 'being', 'up', 'to', 'date', 'is', 'planned', 'as', 'part', 'of', 'the', 'helas', 'coordination', 'action']] | [-0.07298132836933599, 0.0541898638989728, -0.08460980240715207, 0.005891693433952312, -0.07914945495302801, -0.12010909081134316, -0.016933280865770655, 0.3578902252695777, -0.2066316953074042, -0.3333372867895992, 0.19308280684779605, -0.2728711338350912, -0.06742411848103216, 0.27644884086806665, -0.032286426112926626, 0.09044286354698917, 0.12648255258266414, 0.02610734156816714, -0.0472707985960818, -0.26281443277113864, 0.24453022852298115, 0.1989055911937801, 0.2252250430174172, 0.05225006126883355, 0.027755125437851077, -0.05786321529296118, -0.11461080399768234, -0.034863141504442925, -0.08995924992244933, 0.11878835040979184, 0.25910702622314163, 0.19298537096685983, 0.33950819151306694, -0.4097072872538845, -0.2228665818496571, 0.019892690909267464, 0.15152407731473833, 0.11189857794141228, -0.06301064066178401, -0.21097633022173948, 0.0941014118710315, -0.2513238444875974, -0.14109291470391894, -0.05519424499822902, 0.08313526268201796, 0.0036132206487191187, -0.2027507108400346, -0.05289150847049503, 0.025254062419249254, 0.1485172259113328, -0.01395234332552978, -0.15739642473107035, -0.054721368494891114, 0.17789592194770062, 0.06093222323151958, 0.10580638249997389, 0.06795278519948388, -0.10205700207356509, -0.11634614545997086, 0.4053441287296546, -0.02208509551177509, -0.06426466478929892, 0.21981931582407713, -0.10630813625629072, -0.14508015790639758, 0.1461326988813068, 0.17451779615714566, 0.07865508298152248, -0.142256132798729, 0.09784448300881383, 0.019784255833183596, 0.17765361382686473, 0.06267595547553781, 0.006245796018364755, 0.215667904245776, 0.19816630313402744, 0.002408531570033013, 0.14810397368311495, -0.06169996118171491, -0.1070952365921762, -0.2555485433360634, -0.16622404930145515, -0.1367891696553871, 0.018343959366539857, 0.027356167874592295, -0.15326946179152695, 0.4219251223537442, 0.15442399572968096, 0.07305981296828234, 0.015396904490597836, 0.30564937735726305, 0.05302507172387045, 0.16967409418581367, 0.130647539197431, 0.24387035405190735, 0.13137629195781692, 0.11660114219775061, -0.15613137474344052, 0.10609529613118086, 0.016037494427972025] |
710.3107 | D=4, N=2 Supergravity in the Presence of Vector-Tensor Multiplets and
the Role of higher p-forms in the Framework of Free Differential Algebras | We thoroughly analyze at the bosonic level, in the framework of Free
Differential Algebras (FDA), the role of 2-form potentials setting in
particular evidence the precise geometric formulation of the anti-Higgs
mechanism giving mass to the tensors. We then construct the (super)-FDA
encoding the coupling of vector-tensor multiplets in D=4, N=2 supergravity, by
solving the Bianchi identities in superspace and thus retrieving the full
theory up to 3-fermions terms in the supersymmetry transformation laws, leaving
the explicit construction of the Lagrangian to future work. We further explore
the extension of the bosonic FDA in the presence of higher p-form potentials,
focussing our attention to the particular case p=3, which would occur in the
construction of D=5, N=2 supergravity where some of the scalars are properly
dualized.
| hep-th | we thoroughly analyze at the bosonic level in the framework of free differential algebras fda the role of 2form potentials setting in particular evidence the precise geometric formulation of the antihiggs mechanism giving mass to the tensors we then construct the superfda encoding the coupling of vectortensor multiplets in d4 n2 supergravity by solving the bianchi identities in superspace and thus retrieving the full theory up to 3fermions terms in the supersymmetry transformation laws leaving the explicit construction of the lagrangian to future work we further explore the extension of the bosonic fda in the presence of higher pform potentials focussing our attention to the particular case p3 which would occur in the construction of d5 n2 supergravity where some of the scalars are properly dualized | [['we', 'thoroughly', 'analyze', 'at', 'the', 'bosonic', 'level', 'in', 'the', 'framework', 'of', 'free', 'differential', 'algebras', 'fda', 'the', 'role', 'of', '2form', 'potentials', 'setting', 'in', 'particular', 'evidence', 'the', 'precise', 'geometric', 'formulation', 'of', 'the', 'antihiggs', 'mechanism', 'giving', 'mass', 'to', 'the', 'tensors', 'we', 'then', 'construct', 'the', 'superfda', 'encoding', 'the', 'coupling', 'of', 'vectortensor', 'multiplets', 'in', 'd4', 'n2', 'supergravity', 'by', 'solving', 'the', 'bianchi', 'identities', 'in', 'superspace', 'and', 'thus', 'retrieving', 'the', 'full', 'theory', 'up', 'to', '3fermions', 'terms', 'in', 'the', 'supersymmetry', 'transformation', 'laws', 'leaving', 'the', 'explicit', 'construction', 'of', 'the', 'lagrangian', 'to', 'future', 'work', 'we', 'further', 'explore', 'the', 'extension', 'of', 'the', 'bosonic', 'fda', 'in', 'the', 'presence', 'of', 'higher', 'pform', 'potentials', 'focussing', 'our', 'attention', 'to', 'the', 'particular', 'case', 'p3', 'which', 'would', 'occur', 'in', 'the', 'construction', 'of', 'd5', 'n2', 'supergravity', 'where', 'some', 'of', 'the', 'scalars', 'are', 'properly', 'dualized']] | [-0.12700030169396745, 0.11462220582520453, -0.014635047527045255, 0.08099374857663018, -0.09597105534020357, -0.14734327035948513, -0.014708404524849986, 0.27091302785537835, -0.19885135863763773, -0.2812596785578483, 0.07790457937446219, -0.25827999327831513, -0.18761101898139085, 0.09414329944647909, -0.055470402797350916, 0.008277881606595545, -0.03838679429931127, 0.06621481811370307, -0.11380340045363438, -0.31159961473847914, 0.348120168438257, 0.03323189223495623, 0.22534221306261493, 0.0414273116853073, 0.0841461992444001, 0.012783746371363721, -0.0353079459542878, -0.05708313400183267, -0.1237878528481815, 0.1595082603682711, 0.2531579005230517, 0.0975661384040202, 0.15580124939541992, -0.44624480558937885, -0.20208909339224163, 0.11739692741028238, 0.17672143644952343, 0.1671808806950287, -0.015787340738485013, -0.27594127881007524, 0.04064216988484898, -0.16341580464305902, -0.1747732561694958, -0.121024098739452, 0.01638595529688083, -0.10278796113845778, -0.2531815560315016, 0.06015096158668852, 0.08214116966488158, 0.054943710043117766, -0.1079685238863879, -0.062037048815954024, -0.07414444857579845, 0.0703725907156562, 0.09374292290247069, 0.012309815243645609, 0.09159606673974331, -0.19357308169554283, -0.11490939648223783, 0.38036149918911905, -0.0615032359094518, -0.25927643755041974, 0.11035008483558773, -0.14243945388532267, -0.2060976117902352, 0.0828702817084192, 0.12803153093995118, 0.17086218783207904, -0.1378045966091558, 0.2204946565599847, -0.014942432314581503, 0.08544271599834527, 0.10326397420868762, 0.05232129767783198, 0.19799175983809722, 0.09350412882243593, 0.0193516980635184, 0.14907047451602493, 0.001951678621968845, -0.13374417864531088, -0.4327338100751726, -0.16382464181633696, -0.06426700212561139, 0.06061589009529812, -0.13293823909487223, -0.12350962668793594, 0.41167034476813746, 0.14081868253708854, 0.13770193408235787, 0.05872012105698478, 0.21293267697035298, 0.12096435318954622, 0.09693652268771719, 0.006604808924068522, 0.25087707667025677, 0.1789656469420477, 0.08611394617161373, -0.24222937459883287, -0.12241174413527293, 0.153449922606985] |
710.3108 | Functional programming framework for GRworkbench | The software tool GRworkbench is an ongoing project in visual, numerical
General Relativity at The Australian National University. Recently, the
numerical differential geometric engine of GRworkbench has been rewritten using
functional programming techniques. By allowing functions to be directly
represented as program variables in C++ code, the functional framework enables
the mathematical formalism of Differential Geometry to be more closely
reflected in GRworkbench . The powerful technique of `automatic
differentiation' has replaced numerical differentiation of the metric
components, resulting in more accurate derivatives and an order-of-magnitude
performance increase for operations relying on differentiation.
| gr-qc | the software tool grworkbench is an ongoing project in visual numerical general relativity at the australian national university recently the numerical differential geometric engine of grworkbench has been rewritten using functional programming techniques by allowing functions to be directly represented as program variables in c code the functional framework enables the mathematical formalism of differential geometry to be more closely reflected in grworkbench the powerful technique of automatic differentiation has replaced numerical differentiation of the metric components resulting in more accurate derivatives and an orderofmagnitude performance increase for operations relying on differentiation | [['the', 'software', 'tool', 'grworkbench', 'is', 'an', 'ongoing', 'project', 'in', 'visual', 'numerical', 'general', 'relativity', 'at', 'the', 'australian', 'national', 'university', 'recently', 'the', 'numerical', 'differential', 'geometric', 'engine', 'of', 'grworkbench', 'has', 'been', 'rewritten', 'using', 'functional', 'programming', 'techniques', 'by', 'allowing', 'functions', 'to', 'be', 'directly', 'represented', 'as', 'program', 'variables', 'in', 'c', 'code', 'the', 'functional', 'framework', 'enables', 'the', 'mathematical', 'formalism', 'of', 'differential', 'geometry', 'to', 'be', 'more', 'closely', 'reflected', 'in', 'grworkbench', 'the', 'powerful', 'technique', 'of', 'automatic', 'differentiation', 'has', 'replaced', 'numerical', 'differentiation', 'of', 'the', 'metric', 'components', 'resulting', 'in', 'more', 'accurate', 'derivatives', 'and', 'an', 'orderofmagnitude', 'performance', 'increase', 'for', 'operations', 'relying', 'on', 'differentiation']] | [-0.06045928103191292, -0.027299818137101323, -0.14663948017566683, 0.08736901763325516, -0.12810159327826745, -0.11961995817356459, -0.003781279333887379, 0.35162621724884957, -0.2692469684812038, -0.3310706532033889, 0.12914746922299103, -0.23966784853710915, -0.16311723551695215, 0.26894735148095567, -0.08995661047115193, 0.10099754577664577, 0.05710945901987345, -0.015196432116562906, -0.07189724635859222, -0.22512855631319564, 0.2806327915876982, 0.129090729372009, 0.254966782618557, 0.007790797879747318, 0.09725880380922361, 0.009314623868862249, -0.11811047537333291, 0.018472800593134827, -0.06980096131598618, 0.17191424155000434, 0.3309247763700905, 0.21921537601662314, 0.3090585074589952, -0.4720105384375252, -0.18648544837639708, -0.004271983417034473, 0.09612466250141354, 0.06163554123359854, -0.044530728491815316, -0.2976570743257585, 0.029181899826811707, -0.2220318710239118, -0.14111255298105432, -0.11895482038127501, 0.02673517214640489, -0.013603562348694339, -0.2554371979533006, 0.022604572708192078, -0.012138941011432073, 0.14261082993091448, -0.007302120388687953, -0.10579202674157188, -0.02511810863127365, 0.14462093943122611, -0.007833873217864691, 0.08438557950126857, 0.13178379936953602, -0.0651593401208115, -0.14879610586870948, 0.3490510480782098, -0.07312912704504054, -0.23692063024551, 0.17694451546033277, -0.10651912303823653, -0.15614612561488606, 0.13631382773936543, 0.19273433466340698, 0.14551969992665006, -0.21759998746742698, 0.09650044152500492, 0.04015580091483729, 0.1917731034083535, 0.04957293925563926, -0.0328583470007921, 0.18421497341161897, 0.19104697308553706, 0.032436033662040994, 0.12071538200531073, 0.0011042585803965187, -0.12594788680460467, -0.25803990530498, -0.1894133339255859, -0.1103997940131787, -0.019640505845334544, -0.07702344401379536, -0.15039512851913256, 0.35718327212025935, 0.0970380739283586, 0.04612504026812056, 0.011452327090133305, 0.32072348160790687, 0.1679075457618835, 0.13205551274713007, 0.04137531989355288, 0.18053916187415345, 0.14917466494649567, 0.15341185346630443, -0.19918398480260055, 0.11459898854524869, 0.110068156151101] |
710.3109 | Heavy MSSM Higgs Bosons at CMS: "LHC wedge" and Higgs-Mass Precision | The search for MSSM Higgs bosons will be an important goal at the LHC. In
order to analyze the search reach of the CMS experiment for the heavy neutral
MSSM Higgs bosons, we combine the latest results for the CMS experimental
sensitivities based on full simulation studies with state-of-the-art
theoretical predictions of MSSM Higgs-boson properties. The experimental
analyses are done assuming an integrated luminosity of 30 or 60 fb^-1. The
results are interpreted as 5$ \si$ discovery contours in MSSM M_A-tan_beta
benchmark scenarios. Special emphasis is put on the variation of the Higgs
mixing parameter mu. While the variation of mu can shift the prospective
discovery reach (and correspondingly the ``LHC wedge'' region) by about Delta
tan_beta= 10, the discovery reach is rather stable with respect to the impact
of other supersymmetric parameters. Within the discovery region we analyze the
accuracy with which the masses of the heavy neutral Higgs bosons can be
determined. An accuracy of 1-4% should be achievable, depending on M_A and
tan_beta.
| hep-ph | the search for mssm higgs bosons will be an important goal at the lhc in order to analyze the search reach of the cms experiment for the heavy neutral mssm higgs bosons we combine the latest results for the cms experimental sensitivities based on full simulation studies with stateoftheart theoretical predictions of mssm higgsboson properties the experimental analyses are done assuming an integrated luminosity of 30 or 60 fb1 the results are interpreted as 5 si discovery contours in mssm m_atan_beta benchmark scenarios special emphasis is put on the variation of the higgs mixing parameter mu while the variation of mu can shift the prospective discovery reach and correspondingly the lhc wedge region by about delta tan_beta 10 the discovery reach is rather stable with respect to the impact of other supersymmetric parameters within the discovery region we analyze the accuracy with which the masses of the heavy neutral higgs bosons can be determined an accuracy of 14 should be achievable depending on m_a and tan_beta | [['the', 'search', 'for', 'mssm', 'higgs', 'bosons', 'will', 'be', 'an', 'important', 'goal', 'at', 'the', 'lhc', 'in', 'order', 'to', 'analyze', 'the', 'search', 'reach', 'of', 'the', 'cms', 'experiment', 'for', 'the', 'heavy', 'neutral', 'mssm', 'higgs', 'bosons', 'we', 'combine', 'the', 'latest', 'results', 'for', 'the', 'cms', 'experimental', 'sensitivities', 'based', 'on', 'full', 'simulation', 'studies', 'with', 'stateoftheart', 'theoretical', 'predictions', 'of', 'mssm', 'higgsboson', 'properties', 'the', 'experimental', 'analyses', 'are', 'done', 'assuming', 'an', 'integrated', 'luminosity', 'of', '30', 'or', '60', 'fb1', 'the', 'results', 'are', 'interpreted', 'as', '5', 'si', 'discovery', 'contours', 'in', 'mssm', 'm_atan_beta', 'benchmark', 'scenarios', 'special', 'emphasis', 'is', 'put', 'on', 'the', 'variation', 'of', 'the', 'higgs', 'mixing', 'parameter', 'mu', 'while', 'the', 'variation', 'of', 'mu', 'can', 'shift', 'the', 'prospective', 'discovery', 'reach', 'and', 'correspondingly', 'the', 'lhc', 'wedge', 'region', 'by', 'about', 'delta', 'tan_beta', '10', 'the', 'discovery', 'reach', 'is', 'rather', 'stable', 'with', 'respect', 'to', 'the', 'impact', 'of', 'other', 'supersymmetric', 'parameters', 'within', 'the', 'discovery', 'region', 'we', 'analyze', 'the', 'accuracy', 'with', 'which', 'the', 'masses', 'of', 'the', 'heavy', 'neutral', 'higgs', 'bosons', 'can', 'be', 'determined', 'an', 'accuracy', 'of', '14', 'should', 'be', 'achievable', 'depending', 'on', 'm_a', 'and', 'tan_beta']] | [-0.06846035134428775, 0.18678404056389622, 0.0015688964000241045, 0.10915065174487543, -0.08079939709095486, -0.15008047025605856, 0.06663057681577034, 0.34697200557643393, -0.1793853622659233, -0.34455043197425744, 0.08840812837104706, -0.3053819225688678, 0.042308498858418093, 0.18572748788346324, 0.03145806631774653, 0.08443583291113736, 0.10459236026999641, 0.020362071561099714, -0.0916831426572122, -0.29625902579345526, 0.23523383462347136, 0.09379045521918998, 0.20474315010549793, 0.09752351456568632, 0.02150860860809145, -0.02536681672300111, -0.04642402871192085, -0.0726226868854095, -0.1598143542384594, 0.11228978270258058, 0.19931632863828935, 0.093106143440594, 0.15080354490642806, -0.31468080830232925, -0.12365507735542572, 0.14145486982937633, 0.16661209473316277, 0.047437112060998265, -0.057865727052558213, -0.3672986373765372, 0.11571171728849232, -0.19630990699719053, -0.12965737403572414, -0.026148910726790865, -0.04280988351688776, -0.08928601939339158, -0.32957470475370626, 0.05672814258435988, -0.09209314149142389, 0.0677920272503699, -0.020355919095496815, -0.21129128002527967, -0.06905124883212328, 0.008909638035559959, 0.10577248837672601, 0.020378005681755806, 0.19820419555889016, -0.19576120919671403, -0.18547115034384495, 0.3839007538844304, -0.1105347059713396, -0.1558865780908129, 0.18079150876125702, -0.16628737781612002, -0.12519517798728522, 0.1344739298346026, 0.22903869848653494, 0.07169593615578039, -0.15071431343185615, 0.17543812645234572, -0.020570536054311746, 0.18393776274892132, 0.045894508537589515, 0.06659406893998833, 0.24593601048452757, 0.26428377221574084, 0.04967915308549551, 0.05279953235371813, -0.13063297866765095, -0.09621791032995715, -0.41668230360331776, -0.1176016736349248, -0.04963119933942715, 0.0005014817691856928, -0.08189181185377263, -0.03542129508589944, 0.3841054137930813, 0.17192324550530638, 0.2842930738045554, 0.009630423002029175, 0.26755428398715286, 0.09770811498038898, 0.0692284248168973, 0.00037561021520789845, 0.3774354410503643, 0.09033447859881738, 0.11287286589679543, -0.20446500927770891, 0.028305268589076192, 0.027795560416731847] |
710.311 | Anomalous Thermal Conductivity of Semi-Metallic Superconductors with
Electron-Hole Compensation | The effects of low carrier density and carrier compensation on mixed-state
thermal transport are investigated beyond the quasiclassical approximation. It
is shown that, contrary to the usual observations, the interplay of the two
effects leads to an {\it increase} in the thermal conductivity immediately
below the upper critical field $H_{c2}$. Our result can account for the
anomalous behavior of the mixed-state thermal conductivity near $H_{c2}$
recently observed in URu$_2$Si$_2$.
| cond-mat.supr-con cond-mat.str-el | the effects of low carrier density and carrier compensation on mixedstate thermal transport are investigated beyond the quasiclassical approximation it is shown that contrary to the usual observations the interplay of the two effects leads to an it increase in the thermal conductivity immediately below the upper critical field h_c2 our result can account for the anomalous behavior of the mixedstate thermal conductivity near h_c2 recently observed in uru_2si_2 | [['the', 'effects', 'of', 'low', 'carrier', 'density', 'and', 'carrier', 'compensation', 'on', 'mixedstate', 'thermal', 'transport', 'are', 'investigated', 'beyond', 'the', 'quasiclassical', 'approximation', 'it', 'is', 'shown', 'that', 'contrary', 'to', 'the', 'usual', 'observations', 'the', 'interplay', 'of', 'the', 'two', 'effects', 'leads', 'to', 'an', 'it', 'increase', 'in', 'the', 'thermal', 'conductivity', 'immediately', 'below', 'the', 'upper', 'critical', 'field', 'h_c2', 'our', 'result', 'can', 'account', 'for', 'the', 'anomalous', 'behavior', 'of', 'the', 'mixedstate', 'thermal', 'conductivity', 'near', 'h_c2', 'recently', 'observed', 'in', 'uru_2si_2']] | [-0.14575998283133074, 0.22606251334313446, -0.09633621675353768, 0.05426133666491217, -0.04993044384215297, -0.08428198131530182, 0.09310147039545025, 0.3203637425153368, -0.2453403251947484, -0.28658317863617255, 0.04501029565268992, -0.31845308168102865, -0.1424098500199076, 0.2001054574586991, 0.014784543005668598, 0.03031028881399096, -0.09110047550790984, 0.019104822079880512, -0.08080773557320345, -0.21987383707385996, 0.26279041105105233, 0.08513286570761947, 0.40588628487202566, 0.1485975700147126, 0.014244653615236713, 0.00045198680617023206, 0.07698868622031549, 0.06243305600018821, -0.14211161950642354, -0.006935892262212608, 0.23863937735449578, -0.09656445531552468, 0.16689058754971062, -0.4428587661772642, -0.2734141639312324, 0.031106355417843744, 0.1375635956764977, 0.12019394038150599, -0.037627681398062385, -0.24422328215956257, 0.030272880002208378, -0.11932780347980451, -0.13285358717827045, -0.0849693090101515, -0.0026348866572927523, -0.07373540958160184, -0.24811682348018108, 0.13872988635431166, 0.0906685278278546, 0.03600619817987773, -0.1095050283761668, -0.15819133369360064, -0.03449450126525177, 0.07094520623998149, 0.08238729645845656, 0.02157977940109761, 0.1967954647531598, -0.16681834250904512, -0.05591577986268786, 0.3285331581921681, -0.1105159660362625, -0.0768934192702822, 0.1551590381136191, -0.2199914743448945, -0.05682171271789981, 0.20420027651614847, 0.08996382315197717, 0.0556953568821368, -0.15398176338361658, 0.1023121870732765, -0.010883750118976594, 0.1119880190530819, -0.0012107277356520078, 0.09522658340848875, 0.21448162497709627, 0.15004690059636167, 0.0471380604835956, 0.1350766262444465, -0.13549857597757617, -0.09903653742124637, -0.2538688757551321, -0.1470161375414202, -0.21711474864919117, 0.06204884221939289, -0.11520279818395848, -0.1930720245788731, 0.35195929914766894, 0.2531863808078502, 0.18614285699078353, -0.014738011575452443, 0.27945280034580955, 0.23852889055716872, 0.05738931158692508, 0.08048624161333925, 0.3295724351984867, 0.2068315056031165, 0.1492079846304504, -0.35285459026235383, 0.11876083005462652, -0.012784883572274575] |
710.3111 | Long-time self-diffusion of Brownian Gaussian-core particles | Using extensive Brownian dynamics computer simulations, the long-time
self-diffusion coefficient is calculated for Gaussian-core particles as a
function of the number density. Both spherical and rod-like particles
interacting via Gaussian segments ar$ For increasing concentration we find that
the translational self-diffusion behaves non-monotonically reflecting the
structural reentrance effect in the equilibrium phase diagram. Both in the
limits of zero and infinite concentration, it approaches its short-time value.
The microscopic Medina-Noyola theory qualitatively accounts for the
translational long-time diffusion. The long-time orientational diffusion
coefficient for Gaussian rods, on the other hand, remains very close to its
short-time counterpart for any density. Some implications of the weak
translation-rotation coupling for ultrasoft rods are discussed.
| cond-mat.soft | using extensive brownian dynamics computer simulations the longtime selfdiffusion coefficient is calculated for gaussiancore particles as a function of the number density both spherical and rodlike particles interacting via gaussian segments ar for increasing concentration we find that the translational selfdiffusion behaves nonmonotonically reflecting the structural reentrance effect in the equilibrium phase diagram both in the limits of zero and infinite concentration it approaches its shorttime value the microscopic medinanoyola theory qualitatively accounts for the translational longtime diffusion the longtime orientational diffusion coefficient for gaussian rods on the other hand remains very close to its shorttime counterpart for any density some implications of the weak translationrotation coupling for ultrasoft rods are discussed | [['using', 'extensive', 'brownian', 'dynamics', 'computer', 'simulations', 'the', 'longtime', 'selfdiffusion', 'coefficient', 'is', 'calculated', 'for', 'gaussiancore', 'particles', 'as', 'a', 'function', 'of', 'the', 'number', 'density', 'both', 'spherical', 'and', 'rodlike', 'particles', 'interacting', 'via', 'gaussian', 'segments', 'ar', 'for', 'increasing', 'concentration', 'we', 'find', 'that', 'the', 'translational', 'selfdiffusion', 'behaves', 'nonmonotonically', 'reflecting', 'the', 'structural', 'reentrance', 'effect', 'in', 'the', 'equilibrium', 'phase', 'diagram', 'both', 'in', 'the', 'limits', 'of', 'zero', 'and', 'infinite', 'concentration', 'it', 'approaches', 'its', 'shorttime', 'value', 'the', 'microscopic', 'medinanoyola', 'theory', 'qualitatively', 'accounts', 'for', 'the', 'translational', 'longtime', 'diffusion', 'the', 'longtime', 'orientational', 'diffusion', 'coefficient', 'for', 'gaussian', 'rods', 'on', 'the', 'other', 'hand', 'remains', 'very', 'close', 'to', 'its', 'shorttime', 'counterpart', 'for', 'any', 'density', 'some', 'implications', 'of', 'the', 'weak', 'translationrotation', 'coupling', 'for', 'ultrasoft', 'rods', 'are', 'discussed']] | [-0.1245277932643689, 0.22301453082646067, -0.10272991299830578, 0.06068676481598166, -0.006772101747694316, -0.15135015977278082, -0.013844753578850613, 0.37596237979963554, -0.26325817112517247, -0.2269140838997791, 0.051780220786076005, -0.31850050831935156, -0.14856620333031625, 0.13308190992353736, 0.07020835139996347, 0.07856685482699692, -0.015623695829564386, 0.04699723991284332, -0.057947671902995254, -0.1648241544041682, 0.19130300371257403, 0.03186053330884189, 0.3073227129633295, 0.09029041659842069, 0.09846572565367899, 0.04059291683842201, 0.050539890404891326, 0.0490258741402277, -0.2109609130701928, 0.011143078767434434, 0.16598355712008303, -0.06500696594331849, 0.22110880313541842, -0.4296990989262725, -0.24317364300693478, 0.08586273707348753, 0.1824000508289549, 0.11880192043981305, -0.04398646991939057, -0.2752019880624773, -0.0006125263383649793, -0.13398601221516393, -0.1994755077888971, -0.08171688723335932, 0.07188244105257967, 0.07867837601618187, -0.22648374166608126, 0.22026919430910466, 0.049572370057036214, 0.07232012122298952, -0.10536773620500557, -0.11619904341159372, -0.028733240541171382, 0.13083356278340189, 0.12880518993673226, -0.054737253362094763, 0.24817708895231286, -0.18322230586026972, -0.042729510166388644, 0.369726179159238, -0.10410084631629624, -0.24219752339696562, 0.23749305480705188, -0.1810243605879379, -0.10485830408025969, 0.1874013672003875, 0.09963255227535023, 0.10568549685381554, -0.12571169824448522, 0.08247060190177279, -0.01836750862977325, 0.19487434414819488, 0.05696991467345003, 0.013797579989726614, 0.17785465332620717, 0.17040129326418177, 0.030227048664462863, 0.15675395263226805, -0.1077519428417053, -0.19175540847989084, -0.2521711231654023, -0.17114416716267933, -0.24392789820427294, 0.020810855426699727, -0.18899163259387328, -0.20683364998675077, 0.3072567462988265, 0.11688376813791357, 0.17811400562457674, 0.10978404110977175, 0.24063613363814348, 0.10329054054271362, -0.04290061848875773, 0.03271359816059336, 0.24436777164485213, 0.18263500169766983, 0.12973369665964096, -0.32022889937391624, 0.11315798146339755, 0.08222614765494458] |
710.3112 | Possible CP-Violation effects in core-collapse Supernovae | We study CP-violation effects when neutrinos are present in dense matter,
such as outside the proto-neutron star formed in a core-collapse supernova.
Using general arguments based on the Standard Model, we confirm that there are
no CP-violating effects at the tree level on the electron neutrino and
anti-neutrino fluxes in a core-collapse supernova. On the other hand
significant effects can be obtained for muon and tau neutrinos even at the tree
level. We show that CP violating effects can be present in the supernova
electron (anti)neutrino fluxes as well, if muon and tau neutrinos have
different fluxes at the neutrinosphere. Such differences could arise due to
physics beyond the Standard Model, such as the presence of flavor-changing
interactions.
| astro-ph hep-ph | we study cpviolation effects when neutrinos are present in dense matter such as outside the protoneutron star formed in a corecollapse supernova using general arguments based on the standard model we confirm that there are no cpviolating effects at the tree level on the electron neutrino and antineutrino fluxes in a corecollapse supernova on the other hand significant effects can be obtained for muon and tau neutrinos even at the tree level we show that cp violating effects can be present in the supernova electron antineutrino fluxes as well if muon and tau neutrinos have different fluxes at the neutrinosphere such differences could arise due to physics beyond the standard model such as the presence of flavorchanging interactions | [['we', 'study', 'cpviolation', 'effects', 'when', 'neutrinos', 'are', 'present', 'in', 'dense', 'matter', 'such', 'as', 'outside', 'the', 'protoneutron', 'star', 'formed', 'in', 'a', 'corecollapse', 'supernova', 'using', 'general', 'arguments', 'based', 'on', 'the', 'standard', 'model', 'we', 'confirm', 'that', 'there', 'are', 'no', 'cpviolating', 'effects', 'at', 'the', 'tree', 'level', 'on', 'the', 'electron', 'neutrino', 'and', 'antineutrino', 'fluxes', 'in', 'a', 'corecollapse', 'supernova', 'on', 'the', 'other', 'hand', 'significant', 'effects', 'can', 'be', 'obtained', 'for', 'muon', 'and', 'tau', 'neutrinos', 'even', 'at', 'the', 'tree', 'level', 'we', 'show', 'that', 'cp', 'violating', 'effects', 'can', 'be', 'present', 'in', 'the', 'supernova', 'electron', 'antineutrino', 'fluxes', 'as', 'well', 'if', 'muon', 'and', 'tau', 'neutrinos', 'have', 'different', 'fluxes', 'at', 'the', 'neutrinosphere', 'such', 'differences', 'could', 'arise', 'due', 'to', 'physics', 'beyond', 'the', 'standard', 'model', 'such', 'as', 'the', 'presence', 'of', 'flavorchanging', 'interactions']] | [-0.03766416490740948, 0.25485764513328923, 0.005143324333002349, 0.22387306849172306, -0.06253963022224479, -0.10286703322209038, 0.07065966679967182, 0.3302899495840578, -0.21357058156755263, -0.3079930669391307, 0.059769965818751665, -0.33456244473187724, -0.039885552852588185, 0.2012444126490756, 0.04617082811813107, -0.040123439693855026, 0.11810012740947275, -0.009923602628000712, -0.11136286662125928, -0.20647309347987175, 0.30689562544210863, 0.07591045189498907, 0.17853484731325406, 0.11722198424671414, 0.0663807255805912, -0.07602767014118322, -0.04792655419195229, -0.01767306835627404, -0.06666042891361107, -0.056292764372902655, 0.19079212873068666, 0.12807182605788744, 0.08507899668509677, -0.4829340502935446, -0.24497075275896843, 0.18718146668526076, 0.16467600503652277, 0.11132610481926951, -0.10279048641381974, -0.31300951068494787, 0.06433835652483216, -0.20697690571472838, -0.08054131518859985, -0.016711595146601105, -0.06959750865570317, -0.010111973149370465, -0.2917839349918383, 0.10588225199825178, -0.032045418166721205, 0.016554601687811695, -0.004924220255461632, -0.1763420571578998, -0.0017328855948585827, 0.06365601427905396, 0.14487241826689076, 0.00455398985897033, 0.14021497927566642, -0.1551760317228924, -0.11759938031308732, 0.46947108455381154, -0.09463559966179211, -0.15430147360252627, 0.19519464827292615, -0.22608310856730124, -0.17122518798431097, 0.11554813487711757, 0.190290382787017, 0.053798169515221934, -0.1594613230994644, 0.08316056385993469, -0.05980659368984654, 0.1084336189802744, 0.03923499510797151, 0.052984124126435175, 0.3224982307371447, 0.21499816103940989, 0.06638560724499935, -0.007830964205530077, -0.19506873115423626, 0.012470653635781195, -0.36556916552106455, -0.08777361644147816, -0.08291921096112011, 0.09091607476505688, -0.060616222217751044, -0.12215658658878657, 0.36788945821887353, 0.12018692426351925, 0.14015890013868526, -0.029175812852079586, 0.29022433121009905, 0.0817023230631741, 0.06510211717558362, 0.0870776086674719, 0.3303922162296535, 0.10743833752151705, 0.10103473226318799, -0.295743971384304, 0.08229122401246707, 0.07487128728653415] |
710.3113 | A prototype device for acoustic neutrino detection in Lake Baikal | In April 2006, a 4-channel acoustic antenna has been put in long-term
operation on Lake Baikal. The detector was installed at a depth of about 100 m
on the instrumentation string of Baikal Neutrino Telescope NT200+. This
detector may be regarded as a prototype of a subunit for a future underwater
acoustic neutrino telescope. We describe the design of acoustic detector and
present first results obtained from data analysis.
| astro-ph | in april 2006 a 4channel acoustic antenna has been put in longterm operation on lake baikal the detector was installed at a depth of about 100 m on the instrumentation string of baikal neutrino telescope nt200 this detector may be regarded as a prototype of a subunit for a future underwater acoustic neutrino telescope we describe the design of acoustic detector and present first results obtained from data analysis | [['in', 'april', '2006', 'a', '4channel', 'acoustic', 'antenna', 'has', 'been', 'put', 'in', 'longterm', 'operation', 'on', 'lake', 'baikal', 'the', 'detector', 'was', 'installed', 'at', 'a', 'depth', 'of', 'about', '100', 'm', 'on', 'the', 'instrumentation', 'string', 'of', 'baikal', 'neutrino', 'telescope', 'nt200', 'this', 'detector', 'may', 'be', 'regarded', 'as', 'a', 'prototype', 'of', 'a', 'subunit', 'for', 'a', 'future', 'underwater', 'acoustic', 'neutrino', 'telescope', 'we', 'describe', 'the', 'design', 'of', 'acoustic', 'detector', 'and', 'present', 'first', 'results', 'obtained', 'from', 'data', 'analysis']] | [-0.1149138117182082, 0.1449610605849412, -0.08261021416283389, 0.03312597520129782, -0.0996461762925205, -0.12607063450918032, -0.000396773404698225, 0.35673334914516064, -0.12733704473425134, -0.34826881347386085, 0.1740199124265084, -0.33935387734242756, -0.12141364069142635, 0.2745104660819946, -0.05032482975419017, 0.055240330083862595, 0.16710757312999255, 0.009103733425339064, -0.02960601901176615, -0.18837215926876102, 0.17970192383812822, 0.2307352584692231, 0.3037469054342828, 0.021806874906347282, 0.20809650544475333, -0.049830317450012415, -0.08688861498798149, -0.05127458435827461, -0.07340512411167804, 0.038510415163161095, 0.3436032401640778, 0.1655828677677968, 0.1566103509006401, -0.447835067368072, -0.20385750095643426, 0.05271579617587174, 0.06253699542603632, 0.030019657767337303, -0.059105470536978566, -0.38019971235020866, 0.048760908219686615, -0.20715822315896334, -0.13797928132386744, 0.10355777919724368, -0.005153951572551244, -0.021103289329271385, -0.19166915771632415, -0.0740189963573779, -0.04264465911799799, 0.07617569223478221, -0.06658333240319854, -0.14542974282622986, 0.036765299457381814, 0.10489797312766314, -0.04171472717670427, 0.03188041304035679, 0.07573289498416842, -0.06879667229478018, -0.05110746117281741, 0.3504034397934658, -0.0727036330997404, -0.04680931578943695, 0.10111379826971181, -0.16611879416134046, -0.10416622133925557, 0.10732835498840912, 0.31336195815516554, 0.0457210054324157, -0.22668453911994246, 0.0944384347463526, -0.06123447175934047, 0.18884053073175575, 0.13253613769927103, -0.01876975640492595, 0.2688922387669268, 0.3588529807933863, 0.08431926280584025, 0.09845131944925727, -0.2913942531871515, 0.08570320707867327, -0.3280848160696526, -0.11317668910529735, -0.16031142845547394, 0.07836626209419868, 0.04523296125146284, -0.08852747132650753, 0.41737053127608437, 0.10582266732598182, 0.136701088493177, -0.011444939313915329, 0.28346489719452633, -0.020831268241939444, 0.1331750239798988, 0.005751416276114574, 0.3187181639579543, 0.07207934343128675, 0.24398077136256557, -0.19985387409004665, 0.003484173313431118, 0.05956579285059664] |
710.3114 | ASTEC -- the Aarhus STellar Evolution Code | The Aarhus code is the result of a long development, starting in 1974, and
still ongoing. A novel feature is the integration of the computation of
adiabatic oscillations for specified models as part of the code. It offers
substantial flexibility in terms of microphysics and has been carefully tested
for the computation of solar models. However, considerable development is still
required in the treatment of nuclear reactions, diffusion and convective
mixing.
| astro-ph | the aarhus code is the result of a long development starting in 1974 and still ongoing a novel feature is the integration of the computation of adiabatic oscillations for specified models as part of the code it offers substantial flexibility in terms of microphysics and has been carefully tested for the computation of solar models however considerable development is still required in the treatment of nuclear reactions diffusion and convective mixing | [['the', 'aarhus', 'code', 'is', 'the', 'result', 'of', 'a', 'long', 'development', 'starting', 'in', '1974', 'and', 'still', 'ongoing', 'a', 'novel', 'feature', 'is', 'the', 'integration', 'of', 'the', 'computation', 'of', 'adiabatic', 'oscillations', 'for', 'specified', 'models', 'as', 'part', 'of', 'the', 'code', 'it', 'offers', 'substantial', 'flexibility', 'in', 'terms', 'of', 'microphysics', 'and', 'has', 'been', 'carefully', 'tested', 'for', 'the', 'computation', 'of', 'solar', 'models', 'however', 'considerable', 'development', 'is', 'still', 'required', 'in', 'the', 'treatment', 'of', 'nuclear', 'reactions', 'diffusion', 'and', 'convective', 'mixing']] | [-0.1018292682022381, 0.11586743120340184, -0.05633576109375752, 0.05443933959820793, -0.03527603025587512, -0.08748315580346634, 0.018849053282395636, 0.32890201459678126, -0.24550452293224737, -0.3405236744282531, 0.13472474003735352, -0.18285442343060399, -0.08894198613477425, 0.22660718323059484, -0.055167607057177215, 0.09535441188220407, 0.11691503190028836, -0.023997139592300838, -0.058138457641715074, -0.20725583717961546, 0.2527434668031482, 0.1550620877197091, 0.24819920905275453, 0.10200580052742866, 0.0966895603911761, -0.07340605728800448, -0.0969605560112797, -0.04881260551931992, -0.07484022006380181, 0.10956780357502768, 0.24764694415598953, 0.16022835556142243, 0.310654287816773, -0.4535171785195109, -0.28591938764119235, 0.057061677608429125, 0.1488824360872763, 0.14674964160199316, -0.06843119474049185, -0.19302209161064574, 0.041862420213054606, -0.21734772958386112, -0.09995737079609658, -0.07233279124951698, 0.08254090627051995, -0.010449627186434055, -0.2646201265890571, 0.042442710347093224, 0.08037981390953064, 0.09461184682875452, -0.05014405016538123, -0.11433492638301891, -0.018827422771235586, 0.16219915151858413, 0.0547383026462573, 0.04961913414168316, 0.08891946700414721, -0.15963392892301503, -0.085601895798365, 0.4276908342005082, -0.06415408810364528, -0.15302532338406102, 0.17822104217615767, -0.10418235212826812, -0.12438222965304281, 0.13754749544699427, 0.16682948591843458, 0.10161014749917766, -0.170548975953019, 0.11068856861511193, 0.022830090393692676, 0.12475979276998363, 0.012274747255297614, 0.006395736105845008, 0.20167452563912097, 0.26696209354378597, -0.006074296415481769, 0.07916864618973833, -0.08277933455636384, -0.14119835409932627, -0.2929143522862791, -0.1817088216858011, -0.1538809575009304, 0.030314886968740275, -0.033308468017322145, -0.1752422091249429, 0.42924291449008695, 0.14521633968754133, 0.12748496554477115, -0.0006508632090834665, 0.31648002072355486, 0.09410044504821458, 0.12882540465503092, 0.0788378612807309, 0.254450947531617, 0.1512562252554885, 0.11411404088926567, -0.2387930876313066, 0.1488133233735784, 0.012447482801344193] |
710.3115 | Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov
Bihamiltonian Structures | The Drinfeld - Sokolov construction associates a hierarchy of bihamiltonian
integrable systems with every untwisted affine Lie algebra. We compute the
complete set of invariants of the related bihamiltonian structures with respect
to the group of Miura type transformations.
| math.DG math-ph math.MP | the drinfeld sokolov construction associates a hierarchy of bihamiltonian integrable systems with every untwisted affine lie algebra we compute the complete set of invariants of the related bihamiltonian structures with respect to the group of miura type transformations | [['the', 'drinfeld', 'sokolov', 'construction', 'associates', 'a', 'hierarchy', 'of', 'bihamiltonian', 'integrable', 'systems', 'with', 'every', 'untwisted', 'affine', 'lie', 'algebra', 'we', 'compute', 'the', 'complete', 'set', 'of', 'invariants', 'of', 'the', 'related', 'bihamiltonian', 'structures', 'with', 'respect', 'to', 'the', 'group', 'of', 'miura', 'type', 'transformations']] | [-0.24172948462594496, 0.013903881815311155, -0.05154442610709291, 0.05951786627012648, -0.19686011935731298, -0.18642920901459692, -0.08003429705767255, 0.2558397237260483, -0.41294930914514943, -0.2018652264669072, 0.08750151061011772, -0.233735172960319, -0.20659432219537466, 0.17241387792225732, -0.1472799658138109, -0.015731049174638956, 0.07781876481174932, 0.10956894027951516, -0.2391283795923779, -0.2965129433984035, 0.4797743860828249, -0.043190650421341785, 0.2252365179163845, -0.10956607950165083, 0.19732187345231833, 0.017910476626926346, -0.059918872276811225, -0.09868828371461284, -0.1264891045315093, 0.1264228954923486, 0.31889072786036293, 0.02852638185906567, 0.054495883149732104, -0.34207806854714073, 0.002517458499488911, 0.14696282486578352, 0.15128605677991322, 0.04407172831461618, 0.022747309094196873, -0.3301023309560199, 0.03131157711246296, -0.2104071480663199, -0.23764799462974465, -0.06999625938356314, 0.11218168807068937, 0.03778458754286954, -0.14798642191607014, 0.019086897936894706, 0.043385052661362444, 0.10790241855245672, -0.15579663668023913, -0.02279205718322804, -0.19375786883143806, 0.008376646970741843, -0.13953618224906295, 0.05608260494313742, 0.10515442791878932, -0.04041889040289741, -0.22756393175376088, 0.4152194343899426, 0.031326067070231625, -0.2732428384846763, 0.135461451583787, -0.11809135110754716, -0.2976549977044526, 0.12564569382046006, 0.034108549013341725, 0.04042553717858697, -0.06174518501288012, 0.22020705951083647, -0.14220715799417935, 0.006501900663256253, 0.09726640101718276, -0.028024244759427875, 0.13289194850643216, 0.09879974106718835, 0.05661266708844587, 0.11222340095494139, 0.11665918178072102, -0.08262968727534539, -0.38099055423548345, -0.23245050874002596, -0.029296882475089086, 0.1483672826158765, -0.10580452943318769, -0.18298391088549243, 0.4619636586622188, 0.06340662360583481, 0.12417375909066514, 0.16318050451503185, 0.05182630039359394, 0.12766136304746492, 0.18089920213740124, 0.04327384440081292, 0.06082623090447956, 0.33106724153223793, -0.008191125920826667, -0.21910687244350188, -0.13776942447906262, 0.28976746648550034] |
710.3116 | Zonotopes With Large 2D Cuts | There are d-dimensional zonotopes with n zones for which a 2-dimensional
central section has \Omega(n^{d-1}) vertices. For d=3 this was known, with
examples provided by the "Ukrainian easter eggs'' by Eppstein et al. Our result
is asymptotically optimal for all fixed d>=2.
| math.MG math.CO | there are ddimensional zonotopes with n zones for which a 2dimensional central section has omegand1 vertices for d3 this was known with examples provided by the ukrainian easter eggs by eppstein et al our result is asymptotically optimal for all fixed d2 | [['there', 'are', 'ddimensional', 'zonotopes', 'with', 'n', 'zones', 'for', 'which', 'a', '2dimensional', 'central', 'section', 'has', 'omegand1', 'vertices', 'for', 'd3', 'this', 'was', 'known', 'with', 'examples', 'provided', 'by', 'the', 'ukrainian', 'easter', 'eggs', 'by', 'eppstein', 'et', 'al', 'our', 'result', 'is', 'asymptotically', 'optimal', 'for', 'all', 'fixed', 'd2']] | [-0.08449282406306849, 0.13667971997453673, 0.03251749867709672, -6.0976542555159186e-05, -0.01984089373883496, -0.18070288653281041, 0.03991610644294358, 0.3120714894087031, -0.08751707712597237, -0.3089896122266243, 0.11788847560926181, -0.3541278909074097, -0.1690301023276023, 0.16590841859579086, -0.1431587165585015, 0.0562297672533044, 0.012394639935980483, 0.005555246797640149, 0.08578500151634216, -0.38454211416949585, 0.28330033763152795, 0.05853112977815837, 0.2105899485873013, 0.021788454398785424, 0.08867031025200538, 0.05659924895025608, -0.0074294930914553204, 0.04307814978244828, -0.21298123630354318, 0.07415303045020598, 0.30971603527119973, 0.10082191728600641, 0.21406064023513618, -0.34523833729326725, -0.19986063515676594, 0.11415298620704561, 0.12832740774923346, 0.08843055477354494, -0.07620183794145904, -0.2668248161491824, 0.12477786665237169, -0.09990714395009889, -0.15807796596753887, -0.002181047664546385, 0.1781606181388403, 0.016335595330995756, -0.3087014401467835, 0.01924770788812056, 0.12564551049457273, 0.06438668267574252, 0.0313085133391546, -0.1745389858033599, -0.06925225922860569, 0.1087311606558903, -0.035610537731838296, 0.09926924430878788, 0.0011429078990548122, -0.010611843879947938, -0.16256738002071294, 0.32384440975218287, 0.03615811503515011, -0.19985755054825327, 0.18608965779223094, -0.11112513615772492, -0.13880210423206046, 0.11909567481815451, 0.05207267962396145, 0.15182305165430213, -0.11459510857466518, 0.2115879670557816, -0.19345564118064032, 0.10323054670560651, 0.17564677368713225, -0.0834617892950319, 0.1398030968791828, 0.1065618278027126, 0.07741777403507291, 0.13061432113371244, -0.028245744891691862, -0.08361209992166017, -0.2896748011840916, -0.11602967514134035, -0.18497336101888612, 0.06703527234835414, -0.12877883574720927, -0.11812684762223465, 0.24512040665055193, 0.007741030578206225, 0.2117890877785479, 0.087575680056655, 0.2110523535165845, 0.05200709410795442, 0.025734454654611466, 0.22154934396512987, 0.19350831187898065, 0.08611703021508618, 0.04975400669727384, -0.08561700463249552, 0.044853440644900974, 0.17448318022780301] |
710.3117 | Applicability of colour index calibrations to T Tauri stars | We examine the applicability of effective temperature scales of several broad
band colours to T Tauri stars (TTS). We take into account different colour
systems as well as stellar parameters like metallicity and surface gravity
which influence the conversion from colour indices or spectral type to
effective temperature. For a large sample of TTS, we derive temperatures from
broad band colour indices and check if they are consistent in a statistical
sense with temperatures inferred from spectral types. There are some scales
(for V-H, V-K, I-J, J-H, and J-K) which indeed predict the same temperatures as
the spectral types and therefore can be at least used to confirm effective
temperatures. Furthermore, we examine whether TTS with dynamically derived
masses can be used for a test of evolutionary models and effective temperature
calibrations. We compare the observed parameters of the eclipsing T Tauri
binary V1642 Ori A to the predictions of evolutionary models in both the H-R
and the Kiel diagram using temperatures derived with several colour index
scales. We check whether the evolutionary models and the colour index scales
are consistent with coevality and the dynamical masses of the binary
components. It turns out that the Kiel diagram offers a stricter test than the
H-R diagram. Only the evolutionary models of Baraffe et al. (1998) with mixing
length parameter 1.9 and of D'Antona & Mazzitelli (1994, 1997) show consistent
results in the Kiel diagram in combination with some conversion scales of
Houdashelt et al. (2000) and of Kenyon & Hartmann (1995).
| astro-ph | we examine the applicability of effective temperature scales of several broad band colours to t tauri stars tts we take into account different colour systems as well as stellar parameters like metallicity and surface gravity which influence the conversion from colour indices or spectral type to effective temperature for a large sample of tts we derive temperatures from broad band colour indices and check if they are consistent in a statistical sense with temperatures inferred from spectral types there are some scales for vh vk ij jh and jk which indeed predict the same temperatures as the spectral types and therefore can be at least used to confirm effective temperatures furthermore we examine whether tts with dynamically derived masses can be used for a test of evolutionary models and effective temperature calibrations we compare the observed parameters of the eclipsing t tauri binary v1642 ori a to the predictions of evolutionary models in both the hr and the kiel diagram using temperatures derived with several colour index scales we check whether the evolutionary models and the colour index scales are consistent with coevality and the dynamical masses of the binary components it turns out that the kiel diagram offers a stricter test than the hr diagram only the evolutionary models of baraffe et al 1998 with mixing length parameter 19 and of dantona mazzitelli 1994 1997 show consistent results in the kiel diagram in combination with some conversion scales of houdashelt et al 2000 and of kenyon hartmann 1995 | [['we', 'examine', 'the', 'applicability', 'of', 'effective', 'temperature', 'scales', 'of', 'several', 'broad', 'band', 'colours', 'to', 't', 'tauri', 'stars', 'tts', 'we', 'take', 'into', 'account', 'different', 'colour', 'systems', 'as', 'well', 'as', 'stellar', 'parameters', 'like', 'metallicity', 'and', 'surface', 'gravity', 'which', 'influence', 'the', 'conversion', 'from', 'colour', 'indices', 'or', 'spectral', 'type', 'to', 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0.05733964994911723] |
710.3118 | A Theory For Particle Settling and Shear-Induced Migration in Thin Film
Flow | Experiments of particle-laden inclined film flow [Zhou, Dupuy, Bertozzi, and
Hosoi, Phys. Rev. Lett. 94 (2005)] have displayed different settling behaviors
depending on the particle concentration $\phi$ and angle of inclination
$\theta$, in which particles accumulate on the substrate or near the advancing
contact line, or remain mixed. Zhou et al. presented a lubrication model that
captures the qualitative behavior of the high-$\phi$, high-$\theta$ regime,
characterized by a particle-rich ridge near the contact line, but cannot
explain the other observed settling behaviors. This work presents a model in
which $\phi$ varies through the film depth, unlike Zhou et al.'s model. Average
velocities for the liquid and particulate phases are computed, and the
implications for phase separation are discussed. It is found that the
equilibrium depth profile of $\phi$ is more important than gravitational
settling in the down-slope direction in determining phase separation. The
predicted settling behavior is directly compared with Zhou et al.'s
experimental data.
| physics.flu-dyn | experiments of particleladen inclined film flow zhou dupuy bertozzi and hosoi phys rev lett 94 2005 have displayed different settling behaviors depending on the particle concentration phi and angle of inclination theta in which particles accumulate on the substrate or near the advancing contact line or remain mixed zhou et al presented a lubrication model that captures the qualitative behavior of the highphi hightheta regime characterized by a particlerich ridge near the contact line but cannot explain the other observed settling behaviors this work presents a model in which phi varies through the film depth unlike zhou et als model average velocities for the liquid and particulate phases are computed and the implications for phase separation are discussed it is found that the equilibrium depth profile of phi is more important than gravitational settling in the downslope direction in determining phase separation the predicted settling behavior is directly compared with zhou et als experimental data | [['experiments', 'of', 'particleladen', 'inclined', 'film', 'flow', 'zhou', 'dupuy', 'bertozzi', 'and', 'hosoi', 'phys', 'rev', 'lett', '94', '2005', 'have', 'displayed', 'different', 'settling', 'behaviors', 'depending', 'on', 'the', 'particle', 'concentration', 'phi', 'and', 'angle', 'of', 'inclination', 'theta', 'in', 'which', 'particles', 'accumulate', 'on', 'the', 'substrate', 'or', 'near', 'the', 'advancing', 'contact', 'line', 'or', 'remain', 'mixed', 'zhou', 'et', 'al', 'presented', 'a', 'lubrication', 'model', 'that', 'captures', 'the', 'qualitative', 'behavior', 'of', 'the', 'highphi', 'hightheta', 'regime', 'characterized', 'by', 'a', 'particlerich', 'ridge', 'near', 'the', 'contact', 'line', 'but', 'can', 'not', 'explain', 'the', 'other', 'observed', 'settling', 'behaviors', 'this', 'work', 'presents', 'a', 'model', 'in', 'which', 'phi', 'varies', 'through', 'the', 'film', 'depth', 'unlike', 'zhou', 'et', 'als', 'model', 'average', 'velocities', 'for', 'the', 'liquid', 'and', 'particulate', 'phases', 'are', 'computed', 'and', 'the', 'implications', 'for', 'phase', 'separation', 'are', 'discussed', 'it', 'is', 'found', 'that', 'the', 'equilibrium', 'depth', 'profile', 'of', 'phi', 'is', 'more', 'important', 'than', 'gravitational', 'settling', 'in', 'the', 'downslope', 'direction', 'in', 'determining', 'phase', 'separation', 'the', 'predicted', 'settling', 'behavior', 'is', 'directly', 'compared', 'with', 'zhou', 'et', 'als', 'experimental', 'data']] | [-0.12461169902613241, 0.16069969906193482, -0.09122490777646179, -0.03524686302762938, -0.04677105692590212, -0.1640523227578779, 0.015643924143612868, 0.34994009958410804, -0.20601570304761363, -0.3452705248537195, 0.0386493344637777, -0.27946154612975266, -0.15714664144030252, 0.1927241341947191, -0.07804422794732374, 0.03686461825900433, 0.014325885745626231, -0.08633946152041097, -0.04429339069204841, -0.24554575912884208, 0.19861617771033258, 0.09220748070276694, 0.2684173797462861, 0.07467482375531373, 0.03361590695945401, 0.00949708363131995, -0.015493409962139347, 0.05718254815944313, -0.20360166727999518, -0.00042891906659034163, 0.17718065030836536, 0.02521615562444196, 0.17643926348295305, -0.38336678339144237, -0.253581361518568, 0.059790203117995294, 0.12015564316980444, 0.06799022581385956, -0.029515346489992603, -0.3001182044481302, 0.031342169183741816, -0.12895010111327343, -0.15237998818773052, -0.017503391509851467, 0.10096124546789842, 0.020637774261133442, -0.24206542292936378, 0.16091728364812913, 0.09534705683056797, 0.08846059885003012, -0.026300527568144553, -0.13793994577045177, -0.058339963189338324, 0.029366907932759298, 0.03672302945429314, 0.07040414325106743, 0.18214945121994847, -0.12468759437823403, -0.05275948197496208, 0.3481202543525678, -0.047034446118031356, -0.1453754520640926, 0.23214448483164918, -0.12264921415800172, -0.051342500419077744, 0.14531944573754083, 0.1596942903328832, 0.14485378536190113, -0.08480596565641463, 0.057484850911846894, -0.08520933435383168, 0.18680396558741083, 0.13936454181517052, -0.08587075780484486, 0.20341894048713632, 0.1432592827318744, -0.00981073385722899, 0.08552777466051244, -0.12917059314794016, -0.13776530603562215, -0.23065713392086812, -0.15526413243844525, -0.13265455888535876, -0.008287276874516346, -0.03153824868162961, -0.13536817687654312, 0.33749028828067634, 0.13030473563998526, 0.2513548285192387, 0.019368774874450323, 0.22558614360350002, 0.07741304777385727, -0.03170867589402145, 0.1345606683874382, 0.3254775922494493, 0.14189625801306896, 0.1565190048604091, -0.25208119999060963, 0.1472814755768261, 0.06478290563576262] |
710.3119 | Product groups acting on manifolds | We analyse volume-preserving actions of product groups on Riemannian
manifolds. To this end, we establish a new superrigidity theorem for ergodic
cocycles of product groups ranging in linear groups. There are no a priori
assumptions on the acting groups, except a spectral gap assumption on their
action.
Our main application to manifolds concerns irreducible actions of Kazhdan
product groups. We prove the following dichotomy: Either the action is
infinitesimally linear, which means that the derivative cocycle arises from
unbounded linear representations of all factors. Otherwise, the action is
measurably isometric, in which case there are at most two factors in the
product group.
As a first application, this provides lower bounds on the dimension of the
manifold in terms of the number of factors in the acting group. Another
application is a strong restriction for actions of non-linear groups.
| math.GR math.DS | we analyse volumepreserving actions of product groups on riemannian manifolds to this end we establish a new superrigidity theorem for ergodic cocycles of product groups ranging in linear groups there are no a priori assumptions on the acting groups except a spectral gap assumption on their action our main application to manifolds concerns irreducible actions of kazhdan product groups we prove the following dichotomy either the action is infinitesimally linear which means that the derivative cocycle arises from unbounded linear representations of all factors otherwise the action is measurably isometric in which case there are at most two factors in the product group as a first application this provides lower bounds on the dimension of the manifold in terms of the number of factors in the acting group another application is a strong restriction for actions of nonlinear groups | [['we', 'analyse', 'volumepreserving', 'actions', 'of', 'product', 'groups', 'on', 'riemannian', 'manifolds', 'to', 'this', 'end', 'we', 'establish', 'a', 'new', 'superrigidity', 'theorem', 'for', 'ergodic', 'cocycles', 'of', 'product', 'groups', 'ranging', 'in', 'linear', 'groups', 'there', 'are', 'no', 'a', 'priori', 'assumptions', 'on', 'the', 'acting', 'groups', 'except', 'a', 'spectral', 'gap', 'assumption', 'on', 'their', 'action', 'our', 'main', 'application', 'to', 'manifolds', 'concerns', 'irreducible', 'actions', 'of', 'kazhdan', 'product', 'groups', 'we', 'prove', 'the', 'following', 'dichotomy', 'either', 'the', 'action', 'is', 'infinitesimally', 'linear', 'which', 'means', 'that', 'the', 'derivative', 'cocycle', 'arises', 'from', 'unbounded', 'linear', 'representations', 'of', 'all', 'factors', 'otherwise', 'the', 'action', 'is', 'measurably', 'isometric', 'in', 'which', 'case', 'there', 'are', 'at', 'most', 'two', 'factors', 'in', 'the', 'product', 'group', 'as', 'a', 'first', 'application', 'this', 'provides', 'lower', 'bounds', 'on', 'the', 'dimension', 'of', 'the', 'manifold', 'in', 'terms', 'of', 'the', 'number', 'of', 'factors', 'in', 'the', 'acting', 'group', 'another', 'application', 'is', 'a', 'strong', 'restriction', 'for', 'actions', 'of', 'nonlinear', 'groups']] | [-0.20042128886348273, 0.10594349589764991, -0.10532672870686452, 0.05951054353290405, -0.09861297979481894, -0.08893519724055911, 0.04244466653937916, 0.3817315852879245, -0.28615793249177873, -0.2327824372449796, 0.16796515306052517, -0.2648742329731262, -0.15557043539886128, 0.21976288441206804, -0.14120809270886422, -0.036248225868652784, 0.044998618321855074, 0.13786885530600768, -0.09760230184673406, -0.2414259044135244, 0.45194854623162384, -0.05428573347983225, 0.2328493644503488, 0.04572543755120082, 0.11378963631343283, 0.0035226706201009613, -0.04094705324311801, -0.030012409082151574, -0.09695261987052874, 0.14015115321138136, 0.27293847559904344, 0.04119791523653933, 0.2601746076118308, -0.3553051204829336, -0.17916159686572153, 0.18662140416919434, 0.08367423052738736, 0.043479864485143085, -0.054184448052693505, -0.2882421309607465, 0.05993902184179709, -0.17474688525251347, -0.11848590395701446, -0.06214502861173891, 0.03559971688543078, -0.02594618226582412, -0.2445146392380966, 0.02848702803481933, 0.12170011648680452, 0.10982582491668437, -0.11781571018878076, -0.09235155352612408, -0.008927001567597655, 0.20070952604266834, 0.07294963502740527, -0.006785537598641227, 0.14111539170065587, -0.07434632504198084, -0.12685229332795997, 0.3954456410866579, -0.0870941595288275, -0.25528410090495357, 0.207437582833277, -0.16441358495235658, -0.22256915944481015, 0.09222493652093278, 0.16284438677755245, 0.14212073086218224, -0.05991441735716389, 0.16305049264924132, -0.10011927933572866, 0.11211893465889203, 0.08449611020870774, 0.013936517601866249, 0.07539107089212312, 0.09272768101889453, 0.18063380451296732, 0.11715211577231077, 0.07782347602585478, -0.029847151083911925, -0.34792032848587995, -0.16912364902765417, -0.11313634660855444, 0.1454328450327404, -0.12495782023895424, -0.16461142520638009, 0.3804658767901254, 0.04403526195753768, 0.16355020288552205, 0.11507195212355674, 0.23086911691821738, 0.09199418043114728, 0.07035139782468139, 0.08611839575518807, 0.16041502621185652, 0.1984420361117922, -0.06928969183333701, -0.12678839419901425, 0.003528865791267628, 0.1843892579074118] |
710.312 | A New Determination of the High Redshift Type Ia Supernova Rates with
the Hubble Space Telescope Advanced Camera for Surveys | We present a new measurement of the volumetric rate of Type Ia supernova up
to a redshift of 1.7, using the Hubble Space Telescope (HST) GOODS data
combined with an additional HST dataset covering the North GOODS field
collected in 2004. We employ a novel technique that does not require
spectroscopic data for identifying Type Ia supernovae (although spectroscopic
measurements of redshifts are used for over half the sample); instead we employ
a Bayesian approach using only photometric data to calculate the probability
that an object is a Type Ia supernova. This Bayesian technique can easily be
modified to incorporate improved priors on supernova properties, and it is
well-suited for future high-statistics supernovae searches in which
spectroscopic follow up of all candidates will be impractical. Here, the method
is validated on both ground- and space-based supernova data having some
spectroscopic follow up. We combine our volumetric rate measurements with low
redshift supernova data, and fit to a number of possible models for the
evolution of the Type Ia supernova rate as a function of redshift. The data do
not distinguish between a flat rate at redshift > 0.5 and a previously proposed
model, in which the Type Ia rate peaks at redshift >1 due to a significant
delay from star-formation to the supernova explosion. Except for the highest
redshifts, where the signal to noise ratio is generally too low to apply this
technique, this approach yields smaller or comparable uncertainties than
previous work.
| astro-ph | we present a new measurement of the volumetric rate of type ia supernova up to a redshift of 17 using the hubble space telescope hst goods data combined with an additional hst dataset covering the north goods field collected in 2004 we employ a novel technique that does not require spectroscopic data for identifying type ia supernovae although spectroscopic measurements of redshifts are used for over half the sample instead we employ a bayesian approach using only photometric data to calculate the probability that an object is a type ia supernova this bayesian technique can easily be modified to incorporate improved priors on supernova properties and it is wellsuited for future highstatistics supernovae searches in which spectroscopic follow up of all candidates will be impractical here the method is validated on both ground and spacebased supernova data having some spectroscopic follow up we combine our volumetric rate measurements with low redshift supernova data and fit to a number of possible models for the evolution of the type ia supernova rate as a function of redshift the data do not distinguish between a flat rate at redshift 05 and a previously proposed model in which the type ia rate peaks at redshift 1 due to a significant delay from starformation to the supernova explosion except for the highest redshifts where the signal to noise ratio is generally too low to apply this technique this approach yields smaller or comparable uncertainties than previous work | [['we', 'present', 'a', 'new', 'measurement', 'of', 'the', 'volumetric', 'rate', 'of', 'type', 'ia', 'supernova', 'up', 'to', 'a', 'redshift', 'of', '17', 'using', 'the', 'hubble', 'space', 'telescope', 'hst', 'goods', 'data', 'combined', 'with', 'an', 'additional', 'hst', 'dataset', 'covering', 'the', 'north', 'goods', 'field', 'collected', 'in', '2004', 'we', 'employ', 'a', 'novel', 'technique', 'that', 'does', 'not', 'require', 'spectroscopic', 'data', 'for', 'identifying', 'type', 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710.3121 | Latitudinal variation of the solar photospheric intensity | We have examined images from the Precision Solar Photometric Telescope (PSPT)
at the Mauna Loa Solar Observatory (MLSO) in search of latitudinal variation in
the solar photospheric intensity. Along with the expected brightening of the
solar activity belts, we have found a weak enhancement of the mean continuum
intensity at polar latitudes (continuum intensity enhancement $\sim0.1 - 0.2%$
corresponding to a brightness temperature enhancement of $\sim2.5{\rm K}$).
This appears to be thermal in origin and not due to a polar accumulation of
weak magnetic elements, with both the continuum and CaIIK intensity
distributions shifted towards higher values with little change in shape from
their mid-latitude distributions. Since the enhancement is of low spatial
frequency and of very small amplitude it is difficult to separate from
systematic instrumental and processing errors. We provide a thorough discussion
of these and conclude that the measurement captures real solar latitudinal
intensity variations.
| astro-ph | we have examined images from the precision solar photometric telescope pspt at the mauna loa solar observatory mlso in search of latitudinal variation in the solar photospheric intensity along with the expected brightening of the solar activity belts we have found a weak enhancement of the mean continuum intensity at polar latitudes continuum intensity enhancement sim01 02 corresponding to a brightness temperature enhancement of sim25rm k this appears to be thermal in origin and not due to a polar accumulation of weak magnetic elements with both the continuum and caiik intensity distributions shifted towards higher values with little change in shape from their midlatitude distributions since the enhancement is of low spatial frequency and of very small amplitude it is difficult to separate from systematic instrumental and processing errors we provide a thorough discussion of these and conclude that the measurement captures real solar latitudinal intensity variations | [['we', 'have', 'examined', 'images', 'from', 'the', 'precision', 'solar', 'photometric', 'telescope', 'pspt', 'at', 'the', 'mauna', 'loa', 'solar', 'observatory', 'mlso', 'in', 'search', 'of', 'latitudinal', 'variation', 'in', 'the', 'solar', 'photospheric', 'intensity', 'along', 'with', 'the', 'expected', 'brightening', 'of', 'the', 'solar', 'activity', 'belts', 'we', 'have', 'found', 'a', 'weak', 'enhancement', 'of', 'the', 'mean', 'continuum', 'intensity', 'at', 'polar', 'latitudes', 'continuum', 'intensity', 'enhancement', 'sim01', '02', 'corresponding', 'to', 'a', 'brightness', 'temperature', 'enhancement', 'of', 'sim25rm', 'k', 'this', 'appears', 'to', 'be', 'thermal', 'in', 'origin', 'and', 'not', 'due', 'to', 'a', 'polar', 'accumulation', 'of', 'weak', 'magnetic', 'elements', 'with', 'both', 'the', 'continuum', 'and', 'caiik', 'intensity', 'distributions', 'shifted', 'towards', 'higher', 'values', 'with', 'little', 'change', 'in', 'shape', 'from', 'their', 'midlatitude', 'distributions', 'since', 'the', 'enhancement', 'is', 'of', 'low', 'spatial', 'frequency', 'and', 'of', 'very', 'small', 'amplitude', 'it', 'is', 'difficult', 'to', 'separate', 'from', 'systematic', 'instrumental', 'and', 'processing', 'errors', 'we', 'provide', 'a', 'thorough', 'discussion', 'of', 'these', 'and', 'conclude', 'that', 'the', 'measurement', 'captures', 'real', 'solar', 'latitudinal', 'intensity', 'variations']] | [-0.08757345308549702, 0.16369502759478402, -0.04456954913175836, 0.08848573274824921, -0.035806634769059056, -0.046093301872919205, 0.04096083980937469, 0.443604467373316, -0.22478814152398838, -0.37173327187164906, 0.06767996769322425, -0.2704694655464113, -0.09970004020613574, 0.19587506893800483, -0.0872588408568053, -0.01576814718010319, 0.048857180458702604, -0.030539276979374225, -0.06399773174523041, -0.16064333106346784, 0.1986580960528583, 0.14411979975166167, 0.24493469899127476, 0.02614140731550208, 0.06730381355361165, -0.09544570851108046, -0.07553432273304686, 0.0099938009409424, -0.07576267881388024, 0.08502229725701266, 0.2279160220023929, 0.07548764371392348, 0.1878557189804863, -0.3761728266190712, -0.21284445817107145, 0.05222838749272787, 0.10549247837593766, 0.03171397623808763, -0.024448310436845637, -0.24927252495493488, 0.04589710523355372, -0.07186212609553723, -0.15368266741833872, 0.05016915337053891, 0.05909566036156271, 0.024337143021109862, -0.25187633535983106, 0.10082380802427628, 0.01765422128318321, 0.19406535681083698, -0.08976290665795, -0.13729655591542927, -0.07735301626507243, 0.13880691637616085, 0.07253014173067245, 0.06428611904078205, 0.15443400257159354, -0.09529007565654611, -0.004502240767968553, 0.36857606426869727, -0.1376875120763141, -0.054801105467767335, 0.16192937132959462, -0.287975431674914, -0.14767007583270775, 0.24870607692140098, 0.18375876646640957, 0.0625579779616044, -0.11058511398574274, 0.00961123188608326, 0.0024335691737023745, 0.19969219877067826, 0.09826199831219301, 0.07806679159941367, 0.2884365091398105, 0.1122974035944663, 0.07592218174428052, 0.10255018312746951, -0.28819042618456137, -0.053946307252104184, -0.2464881807971163, -0.07364754756393076, -0.08913301488821757, 0.0702912796204189, -0.10117943560794475, -0.1588038187664078, 0.39329561296071175, 0.17730476981865204, 0.220999973374704, 0.02068087003086092, 0.3214430255169163, 0.13017029525414361, 0.0975700809737528, 0.06034881781888048, 0.3127960931053575, 0.15856912725630412, 0.1981888110464325, -0.25914051741809857, 0.07335434621833518, -0.004789010681002876] |
710.3122 | Oscillatory Modes of a Prominence-PCTR-Corona Slab Model | Oscillations of magnetic structures in the solar corona have often been
interpreted in terms of magnetohydrodynamic waves. We study the adiabatic
magnetoacoustic modes of a prominence plasma slab with a uniform longitudinal
magnetic field, surrounded by a prominence-corona transition region (PCTR) and
a coronal medium. Considering linear small-amplitude oscillations, the
dispersion relation for the magnetoacoustic slow and fast modes is deduced
assuming evanescent-like perturbations in the coronal medium. In the system
without PCTR, a classification of the oscillatory modes according to the
polarisation of their eigenfunctions is made in order to distinguish modes with
fast-like or slow-like properties. Internal and external slow modes are
governed by the prominence and coronal properties respectively, and fast modes
are mostly dominated by prominence conditions for the observed wavelengths. In
addition, the inclusion of an isothermal PCTR does not substantially influence
the mode frequencies, but new solutions (PCTR slow modes) are present.
| astro-ph | oscillations of magnetic structures in the solar corona have often been interpreted in terms of magnetohydrodynamic waves we study the adiabatic magnetoacoustic modes of a prominence plasma slab with a uniform longitudinal magnetic field surrounded by a prominencecorona transition region pctr and a coronal medium considering linear smallamplitude oscillations the dispersion relation for the magnetoacoustic slow and fast modes is deduced assuming evanescentlike perturbations in the coronal medium in the system without pctr a classification of the oscillatory modes according to the polarisation of their eigenfunctions is made in order to distinguish modes with fastlike or slowlike properties internal and external slow modes are governed by the prominence and coronal properties respectively and fast modes are mostly dominated by prominence conditions for the observed wavelengths in addition the inclusion of an isothermal pctr does not substantially influence the mode frequencies but new solutions pctr slow modes are present | [['oscillations', 'of', 'magnetic', 'structures', 'in', 'the', 'solar', 'corona', 'have', 'often', 'been', 'interpreted', 'in', 'terms', 'of', 'magnetohydrodynamic', 'waves', 'we', 'study', 'the', 'adiabatic', 'magnetoacoustic', 'modes', 'of', 'a', 'prominence', 'plasma', 'slab', 'with', 'a', 'uniform', 'longitudinal', 'magnetic', 'field', 'surrounded', 'by', 'a', 'prominencecorona', 'transition', 'region', 'pctr', 'and', 'a', 'coronal', 'medium', 'considering', 'linear', 'smallamplitude', 'oscillations', 'the', 'dispersion', 'relation', 'for', 'the', 'magnetoacoustic', 'slow', 'and', 'fast', 'modes', 'is', 'deduced', 'assuming', 'evanescentlike', 'perturbations', 'in', 'the', 'coronal', 'medium', 'in', 'the', 'system', 'without', 'pctr', 'a', 'classification', 'of', 'the', 'oscillatory', 'modes', 'according', 'to', 'the', 'polarisation', 'of', 'their', 'eigenfunctions', 'is', 'made', 'in', 'order', 'to', 'distinguish', 'modes', 'with', 'fastlike', 'or', 'slowlike', 'properties', 'internal', 'and', 'external', 'slow', 'modes', 'are', 'governed', 'by', 'the', 'prominence', 'and', 'coronal', 'properties', 'respectively', 'and', 'fast', 'modes', 'are', 'mostly', 'dominated', 'by', 'prominence', 'conditions', 'for', 'the', 'observed', 'wavelengths', 'in', 'addition', 'the', 'inclusion', 'of', 'an', 'isothermal', 'pctr', 'does', 'not', 'substantially', 'influence', 'the', 'mode', 'frequencies', 'but', 'new', 'solutions', 'pctr', 'slow', 'modes', 'are', 'present']] | [-0.19195629264649056, 0.25923052992863493, -0.009899281354442444, 0.06529189944618113, -0.08468281608936058, -0.05601947344137891, 0.007269322934356353, 0.38574429780040703, -0.22422371952067296, -0.2749298355774954, 0.100023509837266, -0.2401762608700266, -0.0980166661942199, 0.20388599839029603, 0.02794259692656278, 0.03507782541708192, 0.0643632241352525, -0.018176863995406214, -0.002688207102250563, -0.08986110982249096, 0.27689773211740465, 0.07845716287496768, 0.25960965208670966, -0.03246175855946765, 0.03399428879612521, -0.09605901813603401, -0.007014644574629117, 0.03611524376737341, -0.10018064612126032, -0.0012313148376774299, 0.1923846201687112, 0.046655719305631026, 0.2340359879332301, -0.49799879337979913, -0.2669849405128968, -0.0011545401146278193, 0.22609158293088924, 0.07735076837866783, -0.00857125621684508, -0.2640454262903292, 0.04196909932445173, -0.09889852411866393, -0.15813846512991067, -0.03644930575782918, 0.02542761036223566, 0.01599053402865076, -0.2794163567859246, 0.13582028989992678, 0.09470673405552564, 0.09602888753280452, -0.1147877338919661, -0.012399954291551744, -0.06755211891938154, 0.061015642115731454, 0.12406556196957316, 0.000804843191274327, 0.16368012047972377, -0.1303812997568756, -0.051590012067495146, 0.3634705226613234, -0.092961194686598, -0.14747398485723015, 0.21673156834551938, -0.2062851931574461, -0.04897019278085854, 0.19549474271001574, 0.16448883921201404, 0.0786522514799176, -0.10100706839576772, 0.015309653813832707, 0.0108035574156842, 0.15252894656222366, 0.11713192670778308, 0.05115831356929385, 0.2749015682389679, 0.09740899195767021, -0.02784103600225373, 0.14810323414762747, -0.10686788115369743, -0.0261766951920286, -0.24196488853569512, -0.10632361361217901, -0.09137353042123858, 0.00499582377891136, -0.07358108512841545, -0.23799085496503808, 0.43987037777607263, 0.060764127701837076, 0.18770740656277854, -0.04999605628936105, 0.28572745545614153, 0.15583124643268242, 0.035493069304446755, 0.1868432575728336, 0.3547476516232813, 0.24646820229229402, 0.15906095547818463, -0.2697815887043125, 0.023595067002794193, 0.047894213705846705] |
710.3123 | Ambiguities on the Hamiltonian formulation of the free falling particle
with quadratic dissipation | For a free falling particle moving in a media which has quadratic velocity
force effect on the particle, two equivalent constants of motion, with units of
energy, two Lagrangians, and two Hamiltonians are deduced. These quantities
describe the dynamics of the same classical system. However, their quantization
and the associated statistical mechanics (for an ensemble of particles)
describe two completely different quantum and statistical systems. This is
shown at first order in the dissipative parameter.
| quant-ph | for a free falling particle moving in a media which has quadratic velocity force effect on the particle two equivalent constants of motion with units of energy two lagrangians and two hamiltonians are deduced these quantities describe the dynamics of the same classical system however their quantization and the associated statistical mechanics for an ensemble of particles describe two completely different quantum and statistical systems this is shown at first order in the dissipative parameter | [['for', 'a', 'free', 'falling', 'particle', 'moving', 'in', 'a', 'media', 'which', 'has', 'quadratic', 'velocity', 'force', 'effect', 'on', 'the', 'particle', 'two', 'equivalent', 'constants', 'of', 'motion', 'with', 'units', 'of', 'energy', 'two', 'lagrangians', 'and', 'two', 'hamiltonians', 'are', 'deduced', 'these', 'quantities', 'describe', 'the', 'dynamics', 'of', 'the', 'same', 'classical', 'system', 'however', 'their', 'quantization', 'and', 'the', 'associated', 'statistical', 'mechanics', 'for', 'an', 'ensemble', 'of', 'particles', 'describe', 'two', 'completely', 'different', 'quantum', 'and', 'statistical', 'systems', 'this', 'is', 'shown', 'at', 'first', 'order', 'in', 'the', 'dissipative', 'parameter']] | [-0.13278964777632307, 0.21568975580409946, -0.10574143253887693, 0.058843719245245056, 0.0037493886053562163, -0.13350983540217082, -0.057801895826511705, 0.3341740341236194, -0.3043334554011623, -0.2976864010281861, 0.046352589131953816, -0.2843915530542533, -0.09630130009415248, 0.19720780580304564, 0.0019943072522679963, 0.09723400833706061, 0.03237149228652318, 0.10581486308015883, -0.054158042185008526, -0.1971946139757832, 0.33665719205513595, 0.015357271363027393, 0.2507740565141042, -0.002742095875243346, 0.1691235138910512, -0.0007871716469526291, -0.005226989711324374, 0.049348268485628066, -0.13939548415442307, 0.10391462614759803, 0.17434074220558007, 0.013139418674012025, 0.25289010246594745, -0.42885644746323426, -0.2224535071477294, 0.08890918174137671, 0.1279178246917824, 0.12894674997000644, -0.025525766029022633, -0.2600301014818251, -0.0020178831539427243, -0.1582724006039401, -0.1261490981032451, -0.05546735769758622, 0.03450177825987339, 0.036505462035226324, -0.19805959347635507, 0.08766479892345766, 0.07421887467304865, 0.07234558040897052, -0.09760643363619845, -0.09911162203643471, 0.032079157022138434, 0.12859342499325674, 0.05008237515576184, -0.036937017707775036, 0.16721942545846105, -0.13127525561489164, -0.12109565665324529, 0.45610360557834306, -0.020763519603448608, -0.26384398665900033, 0.22450046146909397, -0.11111886570851008, -0.1267326738126576, 0.11236095415738721, 0.1558219287544489, 0.09396419926236073, -0.2091490517432491, 0.0778082354281408, 0.016300164411465326, 0.1365363236516714, 0.04055737263212601, 0.0358758102885137, 0.2279544725889961, 0.060714030240972834, 0.04256357016662757, 0.11116051786889633, -0.06352308798348531, -0.19445298880338668, -0.31696007803082465, -0.19158143431258698, -0.18508728684857487, 0.02861731650152554, -0.09642534800436503, -0.1601320270150124, 0.3899055274824301, 0.1245933302018481, 0.17831239597251017, 0.04611741491748641, 0.2544145731876294, 0.14915167052298783, 0.02041370315787693, 0.03811875871072213, 0.2926895410319169, 0.1309909864452978, 0.07632981160034737, -0.24090743486148616, -0.01699777706215779, 0.08019450512093802] |
710.3124 | The 2+1 flavor topological susceptibility from the asqtad action at 0.06
fm | We report new data for the topological susceptibility computed on 2+1 flavor
dynamical configurations with lattice spacing 0.06 fm, generated with the
asqtad action. The topological susceptibility is computed by HYP smearing and
compared with rooted staggered chiral perturbation theory as the pion mass goes
to zero. At 0.06 fm, the raw data is already quite close to the continuum
extrapolated values obtained from coarser lattices. These results provide a
further test of the asqtad action with rooted staggered flavors.
| hep-lat | we report new data for the topological susceptibility computed on 21 flavor dynamical configurations with lattice spacing 006 fm generated with the asqtad action the topological susceptibility is computed by hyp smearing and compared with rooted staggered chiral perturbation theory as the pion mass goes to zero at 006 fm the raw data is already quite close to the continuum extrapolated values obtained from coarser lattices these results provide a further test of the asqtad action with rooted staggered flavors | [['we', 'report', 'new', 'data', 'for', 'the', 'topological', 'susceptibility', 'computed', 'on', '21', 'flavor', 'dynamical', 'configurations', 'with', 'lattice', 'spacing', '006', 'fm', 'generated', 'with', 'the', 'asqtad', 'action', 'the', 'topological', 'susceptibility', 'is', 'computed', 'by', 'hyp', 'smearing', 'and', 'compared', 'with', 'rooted', 'staggered', 'chiral', 'perturbation', 'theory', 'as', 'the', 'pion', 'mass', 'goes', 'to', 'zero', 'at', '006', 'fm', 'the', 'raw', 'data', 'is', 'already', 'quite', 'close', 'to', 'the', 'continuum', 'extrapolated', 'values', 'obtained', 'from', 'coarser', 'lattices', 'these', 'results', 'provide', 'a', 'further', 'test', 'of', 'the', 'asqtad', 'action', 'with', 'rooted', 'staggered', 'flavors']] | [-0.09587749558850192, 0.3023628054303117, -0.090156657321495, 0.06354148966784123, -0.022220803960226475, -0.10381781303876778, 0.13402352057019015, 0.40369234143290667, -0.159047125314828, -0.27855724429828116, 0.09314641785458662, -0.34585420379880816, -0.03567762369057163, 0.11012880473863333, 0.016866713936906308, 0.06774541222712287, 0.10647993081947789, 0.04516829922540637, -0.17257944851880894, -0.2289666878990829, 0.3151272105460521, -0.0006384425389114768, 0.2896611606935039, 0.10831183660775423, 0.00787357692315709, -0.02358437470975332, -0.02735353399766609, 0.007484771334566176, -0.12714309967705048, 0.04170072167180479, 0.14228673533070832, -0.07123861133777609, 0.07250476328190417, -0.34696345212869345, -0.20922321055550128, -0.0031279616174288093, 0.08115705632371828, 0.11363875765819102, 0.017089970958477353, -0.3284475820488296, 0.12669779026182368, -0.14997648264979943, -0.1864490290696267, -0.15075038546929137, -0.06218441139208153, -0.08443842243286781, -0.34487576482351867, 0.06749534790869802, -0.06308041147603945, 0.19231811224599368, -0.027906206093030052, -0.26002862029708923, -0.1021814364939928, 0.14177158730453812, 0.07671530073566828, 0.1805030350398738, 0.08098266455926932, -0.08699021379288752, -0.16487844931252765, 0.47486224678577854, -0.0897383445102605, -0.15613259579986333, 0.14817543235840275, -0.1783750939241145, -0.11679492254625075, 0.13235773448832333, 0.1460160184535198, 0.055886779382126404, -0.10065377653809264, 0.042805622820014835, -0.05881322156055831, 0.2378224899803172, 0.08130665509961546, 0.004221809271257371, 0.23375917470548302, 0.1542329809482908, 0.015941732598003, 0.11622914283361752, -0.07009152918180916, -0.12461806248174981, -0.23717671097256243, 0.03684546637232415, -0.21817843629978598, 0.11834508651518263, -0.16892257751878786, -0.16953297904983627, 0.34794194930000233, 0.1927892414445523, 0.19860825861105696, 0.07149533069459721, 0.26137767094187436, 0.10752796664455673, 0.11826993334107101, 0.05367029143963009, 0.16925824307836593, 0.18847842869872694, 0.1300319742585998, -0.29238939243368806, -0.16816601526807062, 0.16497271860134788] |
710.3125 | High-energy Atmospheric Muon Flux Expected at India-Based Neutrino
Observatory | We calculate the zenith-angle dependence of conventional and prompt
high-energy muon fluxes at India-Based Neutrino Observatory (INO) depth. This
study demonstrates a possibility to discriminate models of the charm
hadroproduction including the low-x QCD behaviour of hadronic cross-sections
relevant at very high energies.
| hep-ph | we calculate the zenithangle dependence of conventional and prompt highenergy muon fluxes at indiabased neutrino observatory ino depth this study demonstrates a possibility to discriminate models of the charm hadroproduction including the lowx qcd behaviour of hadronic crosssections relevant at very high energies | [['we', 'calculate', 'the', 'zenithangle', 'dependence', 'of', 'conventional', 'and', 'prompt', 'highenergy', 'muon', 'fluxes', 'at', 'indiabased', 'neutrino', 'observatory', 'ino', 'depth', 'this', 'study', 'demonstrates', 'a', 'possibility', 'to', 'discriminate', 'models', 'of', 'the', 'charm', 'hadroproduction', 'including', 'the', 'lowx', 'qcd', 'behaviour', 'of', 'hadronic', 'crosssections', 'relevant', 'at', 'very', 'high', 'energies']] | [0.0033813143192335617, 0.2756651180991253, -0.08617689475677041, 0.27325930808898236, -0.03381686555871437, -0.06680676019425656, 0.014241124200093191, 0.3476203221741111, -0.1669625529781157, -0.29282013101633203, -0.06453243795739011, -0.38849196253820906, 0.08795576295707115, 0.17184655732193657, 0.14656069846607225, 0.09557479391480948, 0.09763104871435221, -0.06471351785368698, -0.10678893301722615, -0.14234555664548088, 0.29076482641489004, 0.19359933905476748, 0.2876825503311878, 0.24104387889247994, 0.11829244178654842, -0.023115213646358528, -0.0811194286595077, -0.10374531271152718, -0.1113360462666944, 0.0002488301590431568, 0.3021330237859856, 0.03588447686241463, 0.004010316590930141, -0.36370005631862684, -0.1454570356020054, 0.14306399884612062, 0.06065756483220084, 0.03802196434590706, 0.010021816394941579, -0.2591453412071217, 0.06712547977736523, -0.22558262822932976, -0.2311276917827727, -0.06682427760300248, -0.09265834634560485, -0.03784433824313415, -0.27980460488605635, 0.0193989499320471, -0.1361104124225676, 0.021460105470100115, -0.00022759994621886762, -0.21357481848708418, 0.01527162916893356, 0.05006833730785306, 0.1348881356331498, 0.04948568749674704, 0.13769336949579072, -0.2364110066528367, -0.16434354476460125, 0.4040601400355267, -0.03949636104516685, -0.01346181649281535, 0.19640571550401145, -0.2966767273799971, -0.18925340567867077, 0.2218729782156473, 0.25691237915740456, 0.08603615722034214, -0.24475981039536554, 0.09046927136558564, 0.02895465403318752, 0.15747569380111473, 0.062071409791188185, 0.08655571033311792, 0.25924928415821175, 0.291627275086073, -0.046273293580080185, 0.027007465987184714, -0.21829465224385955, 0.002606173273349224, -0.3904943690570288, -0.08613688951401516, -0.04350426277622234, 0.10589124137795596, -0.03991636905655384, -0.12086596299872496, 0.4224006365551505, 0.1276233095329168, 0.22914390569162923, -0.0019700503150044484, 0.32962630236478047, 0.03267247313200388, 0.0048835061837074365, 0.023517598051491173, 0.34177451281873295, 0.15945852634518645, 0.2287657659847376, -0.35907478998469317, 0.04787265442225129, 0.08076558712609978] |
710.3126 | Spectrum-Generating Algebra for Charged Superstrings in Background Gauge
Fields | The spectrum-generating algebra (SGA) for charged superstrings placed in
constant background magnetic fields is constructed. Contrary to the neutral
string this algebra is characteristic of including the cyclotron frequency. The
Regge intercept and superconformal anomalies are calculated to be shifted by
the cyclotron frequency and D-brane parameters from the conventional values.
| hep-th | the spectrumgenerating algebra sga for charged superstrings placed in constant background magnetic fields is constructed contrary to the neutral string this algebra is characteristic of including the cyclotron frequency the regge intercept and superconformal anomalies are calculated to be shifted by the cyclotron frequency and dbrane parameters from the conventional values | [['the', 'spectrumgenerating', 'algebra', 'sga', 'for', 'charged', 'superstrings', 'placed', 'in', 'constant', 'background', 'magnetic', 'fields', 'is', 'constructed', 'contrary', 'to', 'the', 'neutral', 'string', 'this', 'algebra', 'is', 'characteristic', 'of', 'including', 'the', 'cyclotron', 'frequency', 'the', 'regge', 'intercept', 'and', 'superconformal', 'anomalies', 'are', 'calculated', 'to', 'be', 'shifted', 'by', 'the', 'cyclotron', 'frequency', 'and', 'dbrane', 'parameters', 'from', 'the', 'conventional', 'values']] | [-0.15157472837588512, 0.20659190465641372, -0.022441210809583757, 0.08449758225184519, -0.11193134807342407, -0.17847439938900517, -0.034654781624090435, 0.3253447608657035, -0.22998914876770155, -0.25089380001722306, 0.04348703185963791, -0.25560790857336685, -0.0479934844097086, 0.185480830971809, -0.010735279478717084, -0.009572028787064767, -0.04927084812273582, 0.11703734172909867, -0.0716669040677302, -0.1610739177946622, 0.35743510051100863, 0.09056366337280647, 0.30006109083107874, 0.0012791091393606336, 0.06535614889991634, -0.020400390458092384, 0.01074245703570983, 0.001977518785233591, -0.07953165933562845, 0.09439052466083975, 0.2713995345356856, 0.03518640513157509, 0.05534441184763815, -0.3870470066983983, -0.18347901671978772, 0.07673412252801891, 0.17037637797458208, 0.14193481268982092, 0.008266793180476217, -0.2760495383146347, 0.060896674371963624, -0.13645869849578424, -0.16207550957744174, -0.0031587930131411436, 0.04773417012948616, -0.03541867131842118, -0.2590932143194711, 0.06165723371155122, -0.03128601245207749, 0.0920899624539101, -0.11502336267856698, -0.16352813332980753, -0.0402467511229071, 0.0656721092687518, 0.11331628609046925, 0.09961753749909501, 0.239831078249742, -0.13387003441012518, -0.16264932208201466, 0.3521836407701759, -0.0845980226043977, -0.20252716497463338, 0.09324131380109225, -0.21736954485851467, -0.12272804147363, 0.14894972778126306, 0.07944278544107196, 0.09063949772868962, -0.11179231148779246, 0.21506031564044237, 9.452639257206636e-05, 0.10345654987145726, 0.1445103862651569, 0.018037977975373175, 0.2966790014841393, 0.056431477747894095, -0.04353834697794096, 0.09389947444958356, -0.07801741914933219, -0.07246321089127485, -0.3359895233137935, -0.06800067632952157, -0.10771676094508638, 0.07102866228852495, -0.09967347365911301, -0.17482198701769697, 0.386002320211892, 0.13262834873817422, 0.1862257669734604, 0.022848456732782664, 0.24547932292426042, 0.21052993618536228, 0.13017737997385362, 0.06350942456400861, 0.2773396879726765, 0.20642816277640855, 0.11860995840135158, -0.27710970848748534, -0.12143975992084426, 0.14421842991392694] |
710.3127 | Properties of two dimensional sets with small sumset | Let $A, B\subseteq \mathbb{R}^2$ be finite, nonempty subsets, let $s\geq 2$
be an integer, and let $h_1(A,B)$ denote the minimal number $t$ such that there
exist $2t$ (not necessarily distinct) parallel lines,
$\ell_1,...,\ell_{t},\ell'_1,...,\ell'_{t}$, with $A\subseteq
\bigcup_{i=1}^{t}\ell_i$ and $B\subseteq\bigcup_{i=1}^{t}\ell'_i$. Suppose
$h_1(A,B)\geq s$. Then we show that:
(a) if $||A|-|B||\leq s$ and $|A|+|B|\geq 4s^2-6s+3$, then $$|A+B|\geq
(2-\frac 1 s)(|A|+|B|)-2s+1;$$
(b) if $|A|\geq |B|+s$ and $|B|\geq 2s^2-{7/2}s+{3/2}$, then $$|A+B|\geq
|A|+(3-\frac 2 s)|B|-s;$$
(c) if $|A|\geq {1/2}s(s-1)|B|+s$ and either $|A|>
{1/8}(2s-1)^2|B|-{1/4}(2s-1)+\frac{(s-1)^2}{2(|B|-2)}$ or $|B|\geq
\frac{2s+4}{3}$, then $$|A+B|\geq |A|+s(|B|-1).$$
This extends the 2-dimensional case of the Freiman $2^d$--Theorem to distinct
sets $A$ and $B$, and, in the symmetric case $A=B$, improves the best prior
known bound for $|A|+|B|$ (due to Stanchescu, and which was cubic in $s$) to an
exact value.
As part of the proof, we give general lower bounds for two dimensional
subsets that improve the 2-dimensional case of estimates of Green and Tao and
of Gardner and Gronchi, and that generalize the 2-dimensional case of the
Brunn-Minkowski Theorem.
| math.CO math.NT | let a bsubseteq mathbbr2 be finite nonempty subsets let sgeq 2 be an integer and let h_1ab denote the minimal number t such that there exist 2t not necessarily distinct parallel lines ell_1ell_tell_1ell_t with asubseteq bigcup_i1tell_i and bsubseteqbigcup_i1tell_i suppose h_1abgeq s then we show that a if ableq s and abgeq 4s26s3 then abgeq 2frac 1 sab2s1 b if ageq bs and bgeq 2s272s32 then abgeq a3frac 2 sbs c if ageq 12ss1bs and either a 182s12b142s1fracs122b2 or bgeq frac2s43 then abgeq asb1 this extends the 2dimensional case of the freiman 2dtheorem to distinct sets a and b and in the symmetric case ab improves the best prior known bound for ab due to stanchescu and which was cubic in s to an exact value as part of the proof we give general lower bounds for two dimensional subsets that improve the 2dimensional case of estimates of green and tao and of gardner and gronchi and that generalize the 2dimensional case of the brunnminkowski theorem | [['let', 'a', 'bsubseteq', 'mathbbr2', 'be', 'finite', 'nonempty', 'subsets', 'let', 'sgeq', '2', 'be', 'an', 'integer', 'and', 'let', 'h_1ab', 'denote', 'the', 'minimal', 'number', 't', 'such', 'that', 'there', 'exist', '2t', 'not', 'necessarily', 'distinct', 'parallel', 'lines', 'ell_1ell_tell_1ell_t', 'with', 'asubseteq', 'bigcup_i1tell_i', 'and', 'bsubseteqbigcup_i1tell_i', 'suppose', 'h_1abgeq', 's', 'then', 'we', 'show', 'that', 'a', 'if', 'ableq', 's', 'and', 'abgeq', '4s26s3', 'then', 'abgeq', '2frac', '1', 'sab2s1', 'b', 'if', 'ageq', 'bs', 'and', 'bgeq', '2s272s32', 'then', 'abgeq', 'a3frac', '2', 'sbs', 'c', 'if', 'ageq', '12ss1bs', 'and', 'either', 'a', '182s12b142s1fracs122b2', 'or', 'bgeq', 'frac2s43', 'then', 'abgeq', 'asb1', 'this', 'extends', 'the', '2dimensional', 'case', 'of', 'the', 'freiman', '2dtheorem', 'to', 'distinct', 'sets', 'a', 'and', 'b', 'and', 'in', 'the', 'symmetric', 'case', 'ab', 'improves', 'the', 'best', 'prior', 'known', 'bound', 'for', 'ab', 'due', 'to', 'stanchescu', 'and', 'which', 'was', 'cubic', 'in', 's', 'to', 'an', 'exact', 'value', 'as', 'part', 'of', 'the', 'proof', 'we', 'give', 'general', 'lower', 'bounds', 'for', 'two', 'dimensional', 'subsets', 'that', 'improve', 'the', '2dimensional', 'case', 'of', 'estimates', 'of', 'green', 'and', 'tao', 'and', 'of', 'gardner', 'and', 'gronchi', 'and', 'that', 'generalize', 'the', '2dimensional', 'case', 'of', 'the', 'brunnminkowski', 'theorem']] | [-0.1306243639713807, 0.125412504745544, -0.015735539401085765, 0.001019562689420946, -0.05290807368363322, -0.2238241329061373, 0.06943139732531611, 0.3051798957683738, -0.26712383717816596, -0.20764270368451754, 0.1021930540446192, -0.3194319074295017, -0.11241402575246595, 0.16036143437928416, -0.06742415014043025, -0.057560936381287925, 0.02399087168849906, 0.07773964482957856, -0.04991427154915518, -0.2770575189574418, 0.29422642030623675, -0.11093140111631708, 0.15480627135673555, 0.0809469826177182, 0.06108089940412747, 0.029605703201724697, 0.03215665181802697, 0.033914669580288874, -0.212377290057353, 0.059896486857597596, 0.25162090998241643, 0.15041576773051593, 0.24718928789189518, -0.36715114149974276, -0.14029650950483633, 0.23717970948817443, 0.16414915987703677, -0.038861769224541716, 0.013093452022521948, -0.24131104648298282, 0.20983838819473094, -0.11718108497146788, -0.138204206875988, -0.02449452596568558, 0.1529986008243105, 0.025702283611780938, -0.3676850705419895, 0.011121279584700303, 0.15142412373907124, 0.053538590527774876, -0.056141446904273126, -0.18935608481664506, -0.06241890575909457, 0.05186529816991792, -0.03268734435396676, 0.14684500113215965, -0.014171407832486542, -0.028998240059720036, -0.11495984244832633, 0.35071248331088695, -0.06704937461270205, -0.19866832178579458, 0.1483238372174616, -0.19214066084233786, -0.13294150593339016, 0.07345686421655612, 0.08746430608413078, 0.15869082734050438, -0.03578762171191737, 0.20649337150397037, -0.12837400003058824, 0.1472678664595271, 0.11967661843591967, -0.01940592247275759, 0.09057757764320747, 0.04693954899931783, 0.12217208046145392, 0.10503972087414713, -0.040682172606273596, 0.041530100332684075, -0.33436235597523684, -0.17457942824838885, -0.1933799454115874, 0.15559647312946387, -0.09331356632154719, -0.1372742628260818, 0.2996213894864754, 0.05730618751223896, 0.18500414044775118, 0.10515023907415248, 0.21633771694703213, 0.07581021420161135, -0.007860074694027865, 0.16565796916699962, 0.08667349885593689, 0.1548034001869575, -0.027791640153833178, -0.15182018020639, -0.02710354122771135, 0.12237444607886357] |
710.3128 | Electron Spin or "Classically Non-Describable Two-Valuedness" | In December 1924 Wolfgang Pauli proposed the idea of an inner degree of
freedom of the electron, which he insisted should be thought of as genuinely
quantum mechanical in nature. Shortly thereafter Ralph Kronig and,
independently, Samuel Goudsmit and George Uhlenbeck took up a less radical
stance by suggesting that this degree of freedom somehow corresponded to an
inner rotational motion, though it was unclear from the very beginning how
literal one was actually supposed to take this picture, since it was
immediately recognised (already by Goudsmit and Uhlenbeck) that it would very
likely lead to serious problems with Special Relativity if the model were to
reproduce the electron's values for mass, charge, angular momentum, and
magnetic moment. However, probably due to the then overwhelming impression that
classical concepts were generally insufficient for the proper description of
microscopic phenomena, a more detailed reasoning was never given. In this
contribution I shall investigate in some detail what the restrictions on the
physical quantities just mentioned are, if they are to be reproduced by rather
simple classical models of the electron within the framework of Special
Relativity. It turns out that surface stresses play a decisive role and that
the question of whether a classical model for the electron does indeed
contradict Special Relativity can only be answered on the basis of an
\emph{exact} solution, which has hitherto not been given.
| physics.hist-ph | in december 1924 wolfgang pauli proposed the idea of an inner degree of freedom of the electron which he insisted should be thought of as genuinely quantum mechanical in nature shortly thereafter ralph kronig and independently samuel goudsmit and george uhlenbeck took up a less radical stance by suggesting that this degree of freedom somehow corresponded to an inner rotational motion though it was unclear from the very beginning how literal one was actually supposed to take this picture since it was immediately recognised already by goudsmit and uhlenbeck that it would very likely lead to serious problems with special relativity if the model were to reproduce the electrons values for mass charge angular momentum and magnetic moment however probably due to the then overwhelming impression that classical concepts were generally insufficient for the proper description of microscopic phenomena a more detailed reasoning was never given in this contribution i shall investigate in some detail what the restrictions on the physical quantities just mentioned are if they are to be reproduced by rather simple classical models of the electron within the framework of special relativity it turns out that surface stresses play a decisive role and that the question of whether a classical model for the electron does indeed contradict special relativity can only be answered on the basis of an emphexact solution which has hitherto not been given | [['in', 'december', '1924', 'wolfgang', 'pauli', 'proposed', 'the', 'idea', 'of', 'an', 'inner', 'degree', 'of', 'freedom', 'of', 'the', 'electron', 'which', 'he', 'insisted', 'should', 'be', 'thought', 'of', 'as', 'genuinely', 'quantum', 'mechanical', 'in', 'nature', 'shortly', 'thereafter', 'ralph', 'kronig', 'and', 'independently', 'samuel', 'goudsmit', 'and', 'george', 'uhlenbeck', 'took', 'up', 'a', 'less', 'radical', 'stance', 'by', 'suggesting', 'that', 'this', 'degree', 'of', 'freedom', 'somehow', 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710.3129 | Minimal Flavor Violation, Seesaw, and R-parity | The Minimal Flavor Violation hypothesis (MFV) is extended to the R-parity
violating MSSM, supplemented with a simple seesaw mechanism. The requirement of
MFV is shown to suppress lepton and baryon-number violating couplings
sufficiently to pass all experimental bounds, in particular those for proton
decay, and is thus a viable alternative to R-parity. The phenomenological
consequences for FCNC, LFV and colliders are briefly discussed. Typically, MFV
predicts sizeable baryon-number violation in some characteristic channels, like
single stop resonant production.
| hep-ph | the minimal flavor violation hypothesis mfv is extended to the rparity violating mssm supplemented with a simple seesaw mechanism the requirement of mfv is shown to suppress lepton and baryonnumber violating couplings sufficiently to pass all experimental bounds in particular those for proton decay and is thus a viable alternative to rparity the phenomenological consequences for fcnc lfv and colliders are briefly discussed typically mfv predicts sizeable baryonnumber violation in some characteristic channels like single stop resonant production | [['the', 'minimal', 'flavor', 'violation', 'hypothesis', 'mfv', 'is', 'extended', 'to', 'the', 'rparity', 'violating', 'mssm', 'supplemented', 'with', 'a', 'simple', 'seesaw', 'mechanism', 'the', 'requirement', 'of', 'mfv', 'is', 'shown', 'to', 'suppress', 'lepton', 'and', 'baryonnumber', 'violating', 'couplings', 'sufficiently', 'to', 'pass', 'all', 'experimental', 'bounds', 'in', 'particular', 'those', 'for', 'proton', 'decay', 'and', 'is', 'thus', 'a', 'viable', 'alternative', 'to', 'rparity', 'the', 'phenomenological', 'consequences', 'for', 'fcnc', 'lfv', 'and', 'colliders', 'are', 'briefly', 'discussed', 'typically', 'mfv', 'predicts', 'sizeable', 'baryonnumber', 'violation', 'in', 'some', 'characteristic', 'channels', 'like', 'single', 'stop', 'resonant', 'production']] | [-0.14442764754699638, 0.3221830596956305, 0.0502357620996638, 0.31098348820934263, -0.19084267794059065, -0.2985255978307508, 0.10340944975513804, 0.23175260360734776, -0.2102789628582123, -0.24281788631700552, 0.017584898192674305, -0.2666082793297485, 0.003374652237070199, 0.10386597980351116, 0.04947229295682449, 0.0909621273764433, 0.0175402259770542, -0.06862944827224009, -0.01761871994807361, -0.22050743096340925, 0.22957421268802136, 0.048374899806311496, 0.1978097594856547, 0.16052438892447987, -0.02379525593147637, -0.06154131203985367, -0.029029733111084893, -0.08868205991501991, -0.09045088876976082, 0.030947142388098516, 0.17342818215361033, 0.12446494777806294, 0.008713302047302326, -0.4185412106319116, -0.15904300170353589, 0.25850231054788214, 0.16598765415330538, 0.11847486150845025, -0.11937950414199477, -0.322517624984567, 0.09813163523824933, -0.25554420949162865, -0.11750722850243059, -0.1347003684928402, -0.049194130121181026, -0.16018901235209063, -0.4718750130910522, 0.09705065868985958, -0.049086402516621046, -0.026479338155462384, 0.07789508583328615, -0.1725896878932149, -0.06135219641220875, -0.0881121550531437, 0.2734985774985921, -0.06559948292441475, 0.1889216727218949, -0.16630911716642097, -0.20126085481248224, 0.4435774599730324, -0.05247891486550753, -0.2091231788866795, 0.1646136960420662, -0.2094254739991485, -0.25222609574811006, 0.08789049253727381, 0.1524747638270641, 0.01727414497723564, -0.23165039874565524, 0.25177303121129696, -0.027394576977269772, 0.07692823026221819, 0.08638141550965464, 0.12902625953444305, 0.26133826967233265, 0.24994771287310869, 0.07154202027819477, -0.012166035851129355, -0.04300489264707535, -0.07656136830038844, -0.5776675091698192, -0.09698343600701684, -0.035090298644111804, 0.03899083310403885, -0.05132153437518401, -0.041352406310929485, 0.3902707534292952, 0.11533719930015743, 0.20248508233374032, 0.0705043816795716, 0.2977514407681062, 0.050987039650909796, 0.13558610227818674, 0.00299139722632483, 0.34824108509294605, 0.10826236691075163, 0.1101802867383529, -0.30493309947614294, 0.06223877210719272, 0.06294126761778711] |
710.313 | An Alternative Look To Precession In Accretion Disks | We have considered precession in accretion disks in which a second moment of
inertia relative to an axis perpendicular to the axis of rotation may be very
important. This formalism, that takes into account the precession contribution
to the angular momentum, is based on the existence of a parameter $\it p$ which
determines three characteristic densities resulting from the averaging process
and imposes constraints on the actual disk density. It is shown that the
precession velocity will lie in a three branch solution, and depends on how
large is the disk actual density as compared to the characteristic densities.
Besides the large spread on the solution for the precession velocity, depending
on the density strength, it may be prograde and retrograde. It is shown that
the keplerian thin disk, with very large density values compared to
characteristic ones, only precesses very far away from the primary object,
which implies very large precession periods. For other models, the disk will
thicken, with large deviations from the keplerian approximation. Constraints on
the density only will be effective for very large values of the ratio ${{\dot
M} \over M_{p}}$, respectively, accretion rate and mass of the primary. Under
this condition, the structure of the precessing region is found. Lower bounds
on the precession period are found for not so large values of this ratio.
Deviations from the mean precessional motion are considered. It is shown that
these deviations result in periodic motions as long as the time scales
associated to them are comparable to the remaining time scales. Otherwise, they
result in misalignment motions, forcing the plane of the disk to become normal
to the orbital plane of the secondary.
| astro-ph | we have considered precession in accretion disks in which a second moment of inertia relative to an axis perpendicular to the axis of rotation may be very important this formalism that takes into account the precession contribution to the angular momentum is based on the existence of a parameter it p which determines three characteristic densities resulting from the averaging process and imposes constraints on the actual disk density it is shown that the precession velocity will lie in a three branch solution and depends on how large is the disk actual density as compared to the characteristic densities besides the large spread on the solution for the precession velocity depending on the density strength it may be prograde and retrograde it is shown that the keplerian thin disk with very large density values compared to characteristic ones only precesses very far away from the primary object which implies very large precession periods for other models the disk will thicken with large deviations from the keplerian approximation constraints on the density only will be effective for very large values of the ratio dot m over m_p respectively accretion rate and mass of the primary under this condition the structure of the precessing region is found lower bounds on the precession period are found for not so large values of this ratio deviations from the mean precessional motion are considered it is shown that these deviations result in periodic motions as long as the time scales associated to them are comparable to the remaining time scales otherwise they result in misalignment motions forcing the plane of the disk to become normal to the orbital plane of the secondary | [['we', 'have', 'considered', 'precession', 'in', 'accretion', 'disks', 'in', 'which', 'a', 'second', 'moment', 'of', 'inertia', 'relative', 'to', 'an', 'axis', 'perpendicular', 'to', 'the', 'axis', 'of', 'rotation', 'may', 'be', 'very', 'important', 'this', 'formalism', 'that', 'takes', 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710.3131 | Friedel oscillations of Density of States in a one-dimensional Mott
insulator and Incommensurate Charge Density Wave/Superconductor | Oscillations of local density of states generated by a single scalar impurity
potential are calculated for one-dimensional systems with dynamically generated
charge or spin gap. At zero temperature the oscillations develop at finite wave
vector ($\pi$ for the Mott insulator and $2k_F$ for ICDW/SC) and at frequencies
larger than the soliton spectral gap $m$. Their amplitude has a broad maximum
at $\omega \approx 3m$, where $m$ is the gap magnitude.
| cond-mat.supr-con cond-mat.str-el | oscillations of local density of states generated by a single scalar impurity potential are calculated for onedimensional systems with dynamically generated charge or spin gap at zero temperature the oscillations develop at finite wave vector pi for the mott insulator and 2k_f for icdwsc and at frequencies larger than the soliton spectral gap m their amplitude has a broad maximum at omega approx 3m where m is the gap magnitude | [['oscillations', 'of', 'local', 'density', 'of', 'states', 'generated', 'by', 'a', 'single', 'scalar', 'impurity', 'potential', 'are', 'calculated', 'for', 'onedimensional', 'systems', 'with', 'dynamically', 'generated', 'charge', 'or', 'spin', 'gap', 'at', 'zero', 'temperature', 'the', 'oscillations', 'develop', 'at', 'finite', 'wave', 'vector', 'pi', 'for', 'the', 'mott', 'insulator', 'and', '2k_f', 'for', 'icdwsc', 'and', 'at', 'frequencies', 'larger', 'than', 'the', 'soliton', 'spectral', 'gap', 'm', 'their', 'amplitude', 'has', 'a', 'broad', 'maximum', 'at', 'omega', 'approx', '3m', 'where', 'm', 'is', 'the', 'gap', 'magnitude']] | [-0.20677359461568404, 0.29178328410405124, -0.032252693687147206, 0.03877562620724295, -0.010510381905065067, -0.1736552148004589, 0.07060381185695314, 0.35294386606825434, -0.23939812182705256, -0.2861961752878151, 0.035277539675218475, -0.3457534046222766, -0.0160889087440581, 0.15220483793519382, 0.11719811402693175, 0.03327622630403958, -0.014405415771340115, 0.06264285619060199, -0.1280212956548169, -0.13143673949483511, 0.3443658007443815, -0.003965822453408137, 0.2584113473059151, 0.05144381872040854, 0.03990415787405294, 0.013704619572862335, 0.10459983040430192, -0.014651173320801361, -0.15821228520244535, 0.017853420345024948, 0.25320641481506545, -0.06894981283424557, 0.24916868579263488, -0.3731531463833391, -0.22799337981943635, 0.07263929110722266, 0.1568236205898954, 0.09611287963428143, -0.030674591657125216, -0.28803695669478696, 0.14120332413501496, -0.1458468655043322, -0.1716960912124942, -0.028965884097514376, 0.10126337164716012, -0.027013944866864578, -0.2769839132434108, 0.13228577742542047, -0.0004341405397955922, 0.08425186320707417, -0.04883303488537237, -0.17586633693966744, -0.08876560884865298, 0.039869938427042485, 0.0010127700777535422, 0.09026095329149478, 0.12943096647875896, -0.09862481787854778, -0.05849056070218322, 0.31533006515245937, -0.15024414239894174, -0.1161040911970633, 0.1431571232775847, -0.21793979842323755, 0.03058239876333138, 0.2164708798400302, 0.11134369482380757, 0.08947967262128773, -0.05136406956496986, 0.08748107395249595, 0.020528492632708378, 0.18470453493173936, 0.0970117216727332, 0.08041220752225406, 0.3115923062938711, 0.1548513935919365, 0.11864307359454856, 0.08381561007674622, -0.11738169516025083, -0.022296801094721624, -0.2532806353562552, -0.08388761528497697, -0.2580857469389836, 0.03971070678886937, -0.05584653467572618, -0.1522395161749876, 0.4331457582504853, 0.05070498627543017, 0.20426224340833182, 0.037269554430985, 0.234827208413702, 0.20623513100587804, 0.06993222619622838, 0.1068244569570474, 0.20939757784599086, 0.1518735395292279, 0.1263716181881888, -0.29655286894800764, -0.04420588822804216, 0.008191480439669196] |
710.3132 | Poisson convergence for the largest eigenvalues of Heavy Tailed Random
Matrices | We study the statistics of the largest eigenvalues of real symmetric and
sample covariance matrices when the entries are heavy tailed. Extending the
result obtained by Soshnikov in \cite{Sos1}, we prove that, in the absence of
the fourth moment, the top eigenvalues behave, in the limit, as the largest
entries of the matrix.
| math.PR | we study the statistics of the largest eigenvalues of real symmetric and sample covariance matrices when the entries are heavy tailed extending the result obtained by soshnikov in citesos1 we prove that in the absence of the fourth moment the top eigenvalues behave in the limit as the largest entries of the matrix | [['we', 'study', 'the', 'statistics', 'of', 'the', 'largest', 'eigenvalues', 'of', 'real', 'symmetric', 'and', 'sample', 'covariance', 'matrices', 'when', 'the', 'entries', 'are', 'heavy', 'tailed', 'extending', 'the', 'result', 'obtained', 'by', 'soshnikov', 'in', 'citesos1', 'we', 'prove', 'that', 'in', 'the', 'absence', 'of', 'the', 'fourth', 'moment', 'the', 'top', 'eigenvalues', 'behave', 'in', 'the', 'limit', 'as', 'the', 'largest', 'entries', 'of', 'the', 'matrix']] | [-0.11301932354959157, 0.12952491722535342, -0.011154798754992394, 0.07128005062874693, 0.016040133598905344, -0.021718067582696676, 0.016719484993910346, 0.2914285422660984, -0.23254680518920606, -0.2555322017466936, 0.14500975061002044, -0.3690410894699968, -0.12985018730306855, 0.11350353574380279, -0.018981397590743236, 0.060921251530369494, 0.06867900213602787, 0.08568756096065044, -0.09545242381192601, -0.24694111336094254, 0.36316491367940146, 0.019453321099997714, 0.2467349263606593, 0.0009869697790306348, 0.02994271944491909, 0.027683763191677056, -0.05677995837938327, -0.02712570902524301, -0.014885866912244148, 0.10787528898799792, 0.188739146070125, 0.0688277428674225, 0.2302343098876568, -0.3589519294007634, -0.07224684385941006, 0.2041122122005058, 0.1149727722586249, 0.06552104411933285, -0.03770055093963702, -0.31252471576086605, 0.1591922281166682, -0.16318948767506158, -0.23185222541304448, -0.023991512927190903, 0.0005730236164079263, 0.05145691338335522, -0.3009383397248502, 0.1365896184803345, 0.10657897790392432, 0.035828420758032456, 0.0016216609465817993, -0.24976466860299787, 0.025783302656446513, 0.1426408372426522, 0.10550721583870025, -0.1424709519219155, 0.08094281439955991, -0.10156670493037942, -0.07223936955695255, 0.34940797789022326, -0.10163354106211606, -0.18514449066983965, 0.0657727885274933, -0.2753836562803302, -0.12579844249949718, 0.07485772450812735, 0.2003321357501241, 0.11998741610799558, -0.11966716483500651, 0.16709923579317268, -0.12894527790530658, 0.11080955435262205, 0.059666146336194985, -0.001733411130352089, 0.12066443404182792, 0.06424344761315016, 0.08332501342878319, 0.1491203979553225, -0.0667325335715969, -0.09938067504957032, -0.31279659004380495, -0.16658939643261525, -0.3394605772784696, 0.06700203352822708, -0.1689843227457179, -0.21578719058575538, 0.41981068138892835, 0.13770596446612707, 0.27012355475185007, 0.08578370378997463, 0.2199069216596679, 0.13668066374017285, 0.05650073225395037, 0.09030476345035893, 0.19764306108789662, 0.22464411681106028, 0.0963189038537586, -0.18470236773674303, 0.07166191111676969, 0.08230923889921261] |
710.3133 | Color-octet scalars at the LHC | Color-octet scalars, if present at the TeV scale, will be produced in
abundance at the LHC. We discuss in some detail the phenomenology of scalars in
the (8,2)_{1/2} representation, recently identified by Manohar and Wise as an
addition to the standard-model Higgs sector consistent with the principle of
minimal flavor violation. Couplings of this multiplet to the Higgs lift the
mass degeneracy among its states, possibly allowing for two-body decays of a
heavier colored scalar to a lighter one and a gauge boson. We perform a
renormalization group analysis of these couplings and find that limits from
Tevatron searches leave little room for these decays. This fact, and the
assumption of minimal flavor violation, lead us to study the case where the
octets decay to the heaviest kinematically accessible fermion pairs. Focusing
on pair-production events leading to (t t-bar t t-bar), (b b-bar b b-bar), and
(b b-bar t t-bar) final states, we find that discovery at the LHC should be
possible up to masses exceeding 1 TeV.
| hep-ph | coloroctet scalars if present at the tev scale will be produced in abundance at the lhc we discuss in some detail the phenomenology of scalars in the 82_12 representation recently identified by manohar and wise as an addition to the standardmodel higgs sector consistent with the principle of minimal flavor violation couplings of this multiplet to the higgs lift the mass degeneracy among its states possibly allowing for twobody decays of a heavier colored scalar to a lighter one and a gauge boson we perform a renormalization group analysis of these couplings and find that limits from tevatron searches leave little room for these decays this fact and the assumption of minimal flavor violation lead us to study the case where the octets decay to the heaviest kinematically accessible fermion pairs focusing on pairproduction events leading to t tbar t tbar b bbar b bbar and b bbar t tbar final states we find that discovery at the lhc should be possible up to masses exceeding 1 tev | [['coloroctet', 'scalars', 'if', 'present', 'at', 'the', 'tev', 'scale', 'will', 'be', 'produced', 'in', 'abundance', 'at', 'the', 'lhc', 'we', 'discuss', 'in', 'some', 'detail', 'the', 'phenomenology', 'of', 'scalars', 'in', 'the', '82_12', 'representation', 'recently', 'identified', 'by', 'manohar', 'and', 'wise', 'as', 'an', 'addition', 'to', 'the', 'standardmodel', 'higgs', 'sector', 'consistent', 'with', 'the', 'principle', 'of', 'minimal', 'flavor', 'violation', 'couplings', 'of', 'this', 'multiplet', 'to', 'the', 'higgs', 'lift', 'the', 'mass', 'degeneracy', 'among', 'its', 'states', 'possibly', 'allowing', 'for', 'twobody', 'decays', 'of', 'a', 'heavier', 'colored', 'scalar', 'to', 'a', 'lighter', 'one', 'and', 'a', 'gauge', 'boson', 'we', 'perform', 'a', 'renormalization', 'group', 'analysis', 'of', 'these', 'couplings', 'and', 'find', 'that', 'limits', 'from', 'tevatron', 'searches', 'leave', 'little', 'room', 'for', 'these', 'decays', 'this', 'fact', 'and', 'the', 'assumption', 'of', 'minimal', 'flavor', 'violation', 'lead', 'us', 'to', 'study', 'the', 'case', 'where', 'the', 'octets', 'decay', 'to', 'the', 'heaviest', 'kinematically', 'accessible', 'fermion', 'pairs', 'focusing', 'on', 'pairproduction', 'events', 'leading', 'to', 't', 'tbar', 't', 'tbar', 'b', 'bbar', 'b', 'bbar', 'and', 'b', 'bbar', 't', 'tbar', 'final', 'states', 'we', 'find', 'that', 'discovery', 'at', 'the', 'lhc', 'should', 'be', 'possible', 'up', 'to', 'masses', 'exceeding', '1', 'tev']] | [-0.06406877513204347, 0.31090501280180305, -0.04147283297996702, 0.1463277840784507, -0.09745323123102675, -0.18995564463243464, 0.0734993773207645, 0.28385346131731887, -0.21037360320111648, -0.26702595604140134, -0.018397748415563478, -0.33127014057910337, 0.030727685889273527, 0.10406672835095032, 0.06421490217603389, 0.04058578766091073, 0.09450435546127015, 0.041324558398974615, -0.05592490215210654, -0.2838565220479809, 0.28119711434313405, 0.008147022648093602, 0.12940124346503235, 0.11030932774467926, 0.011608276762888722, 0.005461520886802603, -0.0229615918998163, -0.11693849699319496, -0.11913420909981401, 0.04723494967731226, 0.19172903008404232, 0.08787699204237599, 0.09984525162837513, -0.2908387643872716, -0.07820491277102735, 0.20467335533993763, 0.1752359374215649, 0.10030051687776688, -0.0669131363801647, -0.3610873402586939, 0.15596846320633112, -0.2219336486000213, -0.11115233721059103, -0.07535838959821765, -0.0013680893711612693, -0.17069463347156888, -0.3407466426260293, 0.08260277599384565, -0.04048795339622302, 0.029765047066445862, 0.029225893317960158, -0.1868510895985223, -0.11290310126995402, -0.017448981833045503, 0.18642992243292697, 0.04773089093560841, 0.1801864027289585, -0.19434001575323887, -0.18577331398860442, 0.38507164580680964, -0.10243246759775848, -0.1439489069078783, 0.2172903841100855, -0.1950126253123883, -0.20256445380315805, 0.11445150574547283, 0.216196960658722, 0.0832155449832152, -0.20284167786927096, 0.20382339203379593, -0.035321599194070415, 0.1372163889463991, 0.09279043189737768, 0.10695532282919712, 0.24218864222833267, 0.1517144126673451, 0.0468786832560519, 0.04210503996277805, -0.08061531077241636, -0.027780923515993414, -0.4650191573004815, -0.14730979771896577, -0.04922584207018926, 0.08962369343637311, -0.030996239920395532, -0.06166204722553846, 0.39508771852013613, 0.14268219687732026, 0.2888523296042833, 0.022334644352667965, 0.24692453365423717, 0.06065589631006809, 0.12702470798554022, 0.0793089810814265, 0.32301834486566977, 0.1702724328303399, 0.12167774159128644, -0.2622563248022787, -0.027915715055617813, 0.05460379847985072] |
710.3134 | Shape Fluctuations in Randomly Stirred Dilute Emulsions | In this paper we consider the effects of the interaction between droplets or
other deformable objects in an emulsion under random stirring of the host
fluid. Our main interest is to obtain autocorrelation functions of the shape
fluctuations in such randomly stirred host fluids, beyond the dilute limit
regime. Thus, a system of deformable objects immersed in a host liquid that is
randomly stirred is considered, where the objects interact with each other via
the host liquid. Keeping expressions in the first order in the density of
objects and in deviation of objects shapes from spherical, the shape of each
object is expanded in spherical harmonic modes and the correlations of these
modes are derived. The special case of objects that are governed by surface
tension is investigated. The interaction between objects is explicitly
formulated and the deformation correlations are obtained.
| physics.flu-dyn | in this paper we consider the effects of the interaction between droplets or other deformable objects in an emulsion under random stirring of the host fluid our main interest is to obtain autocorrelation functions of the shape fluctuations in such randomly stirred host fluids beyond the dilute limit regime thus a system of deformable objects immersed in a host liquid that is randomly stirred is considered where the objects interact with each other via the host liquid keeping expressions in the first order in the density of objects and in deviation of objects shapes from spherical the shape of each object is expanded in spherical harmonic modes and the correlations of these modes are derived the special case of objects that are governed by surface tension is investigated the interaction between objects is explicitly formulated and the deformation correlations are obtained | [['in', 'this', 'paper', 'we', 'consider', 'the', 'effects', 'of', 'the', 'interaction', 'between', 'droplets', 'or', 'other', 'deformable', 'objects', 'in', 'an', 'emulsion', 'under', 'random', 'stirring', 'of', 'the', 'host', 'fluid', 'our', 'main', 'interest', 'is', 'to', 'obtain', 'autocorrelation', 'functions', 'of', 'the', 'shape', 'fluctuations', 'in', 'such', 'randomly', 'stirred', 'host', 'fluids', 'beyond', 'the', 'dilute', 'limit', 'regime', 'thus', 'a', 'system', 'of', 'deformable', 'objects', 'immersed', 'in', 'a', 'host', 'liquid', 'that', 'is', 'randomly', 'stirred', 'is', 'considered', 'where', 'the', 'objects', 'interact', 'with', 'each', 'other', 'via', 'the', 'host', 'liquid', 'keeping', 'expressions', 'in', 'the', 'first', 'order', 'in', 'the', 'density', 'of', 'objects', 'and', 'in', 'deviation', 'of', 'objects', 'shapes', 'from', 'spherical', 'the', 'shape', 'of', 'each', 'object', 'is', 'expanded', 'in', 'spherical', 'harmonic', 'modes', 'and', 'the', 'correlations', 'of', 'these', 'modes', 'are', 'derived', 'the', 'special', 'case', 'of', 'objects', 'that', 'are', 'governed', 'by', 'surface', 'tension', 'is', 'investigated', 'the', 'interaction', 'between', 'objects', 'is', 'explicitly', 'formulated', 'and', 'the', 'deformation', 'correlations', 'are', 'obtained']] | [-0.12263772494641813, 0.1926487901666844, -0.0879061092351768, 0.021229338041235897, 0.00438296003267169, -0.09716882443316413, -0.041194082682800365, 0.3493609675041116, -0.25419121222398805, -0.3052512429718998, 0.06624068468082564, -0.30181778084440486, -0.11888956966321149, 0.14436530830265942, -0.057365575759896204, 0.00737072171887766, 0.0025575066477403785, 0.021798769225108813, -0.041273767563699354, -0.1986092232673013, 0.3272238845890718, 0.015145067786071317, 0.2251939728446569, -0.012626520152028703, 0.09183603234206003, 0.012399564661475309, 0.004541336986441033, 0.05900150618403622, -0.11972750476051654, 0.09663882895111905, 0.20986649786462308, 0.00396624472031885, 0.19912843204083594, -0.44080302819398276, -0.22431842029216065, 0.09414996260592172, 0.14194870851471597, 0.10279234235855282, -0.06396944463873903, -0.30869711796647425, 0.03449288937791601, -0.16466424421156287, -0.16376014728535046, -0.009916915957888602, 0.06790585905405963, 0.09939847480636156, -0.23120096933545795, 0.10310310540317907, 0.08094710175357495, 0.03311775026823136, -0.09382201135422744, -0.06251559794487445, -0.03956973979560038, 0.1676643030067364, 0.059054738743286844, -0.017640308724676677, 0.20089207261103925, -0.19350357129278176, -0.01742021694609314, 0.44052865533884744, -0.03414817465096052, -0.239982207391596, 0.22580874877228857, -0.17743396154334043, -0.08750730695810618, 0.15050578667990308, 0.1951236642685765, 0.14317321553430024, -0.13517870101086954, 0.05347259458796788, -0.0466066322760848, 0.1597251844466895, 0.05583294543457475, 0.0094713919287455, 0.2845354196120133, 0.1858223075631689, 0.0043660314978225855, 0.19921842472485748, -0.11639874991927798, -0.09778640607986203, -0.2957882455001909, -0.1283830637970926, -0.2109247686883025, -0.043341294723622345, -0.06827120812486359, -0.15653513001396935, 0.34842594553128625, 0.089349038535663, 0.19398349946767673, 0.02882089808827649, 0.2749376974682859, 0.05504342700694919, 0.049873980277396264, 0.04841394202638391, 0.3026496000746463, 0.13995733865906637, 0.037639288766745556, -0.18467164048858992, 0.052624316565718844, 0.06958485234707118] |
710.3135 | One-loop fluctuations of semi-local self-dual vortices | Mass shifts induced by one-loop fluctuations of semi-local self-dual vortices
are computed. The procedure is based on canonical quantization and heat kernel/
zeta function regularization methods. The issue of the survival of the
classical degeneracy in the semi-classical regime is explored.
| hep-th | mass shifts induced by oneloop fluctuations of semilocal selfdual vortices are computed the procedure is based on canonical quantization and heat kernel zeta function regularization methods the issue of the survival of the classical degeneracy in the semiclassical regime is explored | [['mass', 'shifts', 'induced', 'by', 'oneloop', 'fluctuations', 'of', 'semilocal', 'selfdual', 'vortices', 'are', 'computed', 'the', 'procedure', 'is', 'based', 'on', 'canonical', 'quantization', 'and', 'heat', 'kernel', 'zeta', 'function', 'regularization', 'methods', 'the', 'issue', 'of', 'the', 'survival', 'of', 'the', 'classical', 'degeneracy', 'in', 'the', 'semiclassical', 'regime', 'is', 'explored']] | [-0.17116096493129324, 0.14409889928178815, -0.10923403676417542, 0.19458428851510512, -0.027263706822584315, -0.10007680788999651, 0.03676040056615886, 0.32710687761626595, -0.2606798662099896, -0.21902495436370373, 0.03826686711527589, -0.273279273110192, -0.1492432021286066, 0.15259171449920025, -0.03315179118114274, 0.10439264004277747, 0.048633959189784234, 0.032567571212605735, -0.1625793544297311, -0.24728266433699103, 0.3829226125622304, 0.07852666656963708, 0.29086709222415597, 0.0702485592536083, 0.06790754171769793, 0.005901265673611949, -0.046060270899566026, -0.02063898654745483, -0.15504360446570123, 0.06344387605332019, 0.19595591991958095, 0.014049197388131445, 0.23993043351645876, -0.37715410109518505, -0.2556076677425242, 0.10874598362006066, 0.1668454523470889, 0.09722529633379565, 0.02876726870436403, -0.22572716416382207, 0.03352504723851581, -0.1367800388962212, -0.09841167074968903, -0.11482867098799567, -0.027759173862272647, -0.01048341493417577, -0.27428497033329996, 0.18051292169157687, 0.03628043906490614, 0.0436033274206083, -0.055650572292506695, -0.14324490158114492, -0.04352784333977758, 0.04912919858924863, 0.08768060163980941, 0.0624719866659356, 0.16877058963859226, -0.16585539297268884, -0.10015427530175303, 0.3114178930295677, -0.08403155611964261, -0.22951490277560746, 0.06810432645810269, -0.12578323920734408, -0.08902366985226186, 0.12638125114324616, 0.061406012261059226, 0.1969537026839467, -0.11863933001622194, 0.20488804319686052, 0.04607549795835483, 0.06516200636240949, 0.07559856809902846, 0.01032892649811579, 0.22397944113103355, 0.12372143305383804, 0.010960975116709383, 0.12430025824550085, -0.12491610105058587, -0.1601769412390706, -0.31708195205868744, -0.07233174199738153, -0.24603871446920605, 0.04088662396662119, -0.09857574787818565, -0.23377892429508815, 0.3638849247519563, 0.12261302005244056, 0.17924826856270978, 0.03662525213936844, 0.287118528492567, 0.2214167957625738, 0.09180719090807365, 0.031407857450043285, 0.22209755808296727, 0.20831618029851376, 0.019548888965623408, -0.3371379775926471, -0.04011726362358143, 0.22386184886733934] |
710.3136 | On the evolution of clustering of 24um-selected galaxies | This paper investigates the clustering properties of a complete sample of
1041 24um-selected sources brighter than F[24um]=400 uJy in the overlapping
region between the SWIRE and UKIDSS UDS surveys. We have concentrated on the
two (photometric) interval ranges z=[0.6-1.2] (low-z sample) and z>1.6 (high-z
sample) as it is in these regions were we expect the mid-IR population to be
dominated by intense dust-enshrouded activity such as star formation and black
hole accretion. Investigations of the angular correlation function produce a
correlation length are r0~15.9 Mpc for the high-z sample and r0~8.5 Mpc for the
low-z one. Comparisons with physical models reveal that the high-z sources are
exclusively associated with very massive (M>~10^{13} M_sun)haloes, comparable
to those which locally host groups-to-clusters of galaxies, and are very common
within such (rare) structures. Conversely, lower-z galaxies are found to reside
in smaller halos (M_min~10^{12} M_sun) and to be very rare in such systems.
While recent studies have determined a strong evolution of the 24um luminosity
function between z~2 and z~0, they cannot provide information on the physical
nature of such an evolution. Our clustering results instead indicate that this
is due to the presence of different populations of objects inhabiting different
structures, as active systems at z<~1.5 are found to be exclusively associated
with low-mass galaxies, while very massive sources appear to have concluded
their active phase before this epoch. Finally, we note that the small-scale
clustering data seem to require steep profiles for the distribution of galaxies
within their halos. This is suggestive of close encounters and/or mergers which
could strongly favour both AGN and star-formation activity.
| astro-ph | this paper investigates the clustering properties of a complete sample of 1041 24umselected sources brighter than f24um400 ujy in the overlapping region between the swire and ukidss uds surveys we have concentrated on the two photometric interval ranges z0612 lowz sample and z16 highz sample as it is in these regions were we expect the midir population to be dominated by intense dustenshrouded activity such as star formation and black hole accretion investigations of the angular correlation function produce a correlation length are r0159 mpc for the highz sample and r085 mpc for the lowz one comparisons with physical models reveal that the highz sources are exclusively associated with very massive m1013 m_sunhaloes comparable to those which locally host groupstoclusters of galaxies and are very common within such rare structures conversely lowerz galaxies are found to reside in smaller halos m_min1012 m_sun and to be very rare in such systems while recent studies have determined a strong evolution of the 24um luminosity function between z2 and z0 they cannot provide information on the physical nature of such an evolution our clustering results instead indicate that this is due to the presence of different populations of objects inhabiting different structures as active systems at z15 are found to be exclusively associated with lowmass galaxies while very massive sources appear to have concluded their active phase before this epoch finally we note that the smallscale clustering data seem to require steep profiles for the distribution of galaxies within their halos this is suggestive of close encounters andor mergers which could strongly favour both agn and starformation activity | [['this', 'paper', 'investigates', 'the', 'clustering', 'properties', 'of', 'a', 'complete', 'sample', 'of', '1041', '24umselected', 'sources', 'brighter', 'than', 'f24um400', 'ujy', 'in', 'the', 'overlapping', 'region', 'between', 'the', 'swire', 'and', 'ukidss', 'uds', 'surveys', 'we', 'have', 'concentrated', 'on', 'the', 'two', 'photometric', 'interval', 'ranges', 'z0612', 'lowz', 'sample', 'and', 'z16', 'highz', 'sample', 'as', 'it', 'is', 'in', 'these', 'regions', 'were', 'we', 'expect', 'the', 'midir', 'population', 'to', 'be', 'dominated', 'by', 'intense', 'dustenshrouded', 'activity', 'such', 'as', 'star', 'formation', 'and', 'black', 'hole', 'accretion', 'investigations', 'of', 'the', 'angular', 'correlation', 'function', 'produce', 'a', 'correlation', 'length', 'are', 'r0159', 'mpc', 'for', 'the', 'highz', 'sample', 'and', 'r085', 'mpc', 'for', 'the', 'lowz', 'one', 'comparisons', 'with', 'physical', 'models', 'reveal', 'that', 'the', 'highz', 'sources', 'are', 'exclusively', 'associated', 'with', 'very', 'massive', 'm1013', 'm_sunhaloes', 'comparable', 'to', 'those', 'which', 'locally', 'host', 'groupstoclusters', 'of', 'galaxies', 'and', 'are', 'very', 'common', 'within', 'such', 'rare', 'structures', 'conversely', 'lowerz', 'galaxies', 'are', 'found', 'to', 'reside', 'in', 'smaller', 'halos', 'm_min1012', 'm_sun', 'and', 'to', 'be', 'very', 'rare', 'in', 'such', 'systems', 'while', 'recent', 'studies', 'have', 'determined', 'a', 'strong', 'evolution', 'of', 'the', '24um', 'luminosity', 'function', 'between', 'z2', 'and', 'z0', 'they', 'can', 'not', 'provide', 'information', 'on', 'the', 'physical', 'nature', 'of', 'such', 'an', 'evolution', 'our', 'clustering', 'results', 'instead', 'indicate', 'that', 'this', 'is', 'due', 'to', 'the', 'presence', 'of', 'different', 'populations', 'of', 'objects', 'inhabiting', 'different', 'structures', 'as', 'active', 'systems', 'at', 'z15', 'are', 'found', 'to', 'be', 'exclusively', 'associated', 'with', 'lowmass', 'galaxies', 'while', 'very', 'massive', 'sources', 'appear', 'to', 'have', 'concluded', 'their', 'active', 'phase', 'before', 'this', 'epoch', 'finally', 'we', 'note', 'that', 'the', 'smallscale', 'clustering', 'data', 'seem', 'to', 'require', 'steep', 'profiles', 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710.3137 | A Scenario for a Natural Origin of Our Universe | A mathematical model of the natural origin of our universe is presented. The
model is based only on well-established physics. No claim is made that this
model uniquely represents exactly how the universe came about. But the
viability of a single model serves to refute any assertions that the universe
cannot have come about by natural means.
| gr-qc physics.pop-ph | a mathematical model of the natural origin of our universe is presented the model is based only on wellestablished physics no claim is made that this model uniquely represents exactly how the universe came about but the viability of a single model serves to refute any assertions that the universe cannot have come about by natural means | [['a', 'mathematical', 'model', 'of', 'the', 'natural', 'origin', 'of', 'our', 'universe', 'is', 'presented', 'the', 'model', 'is', 'based', 'only', 'on', 'wellestablished', 'physics', 'no', 'claim', 'is', 'made', 'that', 'this', 'model', 'uniquely', 'represents', 'exactly', 'how', 'the', 'universe', 'came', 'about', 'but', 'the', 'viability', 'of', 'a', 'single', 'model', 'serves', 'to', 'refute', 'any', 'assertions', 'that', 'the', 'universe', 'can', 'not', 'have', 'come', 'about', 'by', 'natural', 'means']] | [-0.06140085924185957, 0.05964923010946348, -0.16199616321908503, 0.09434183926626655, -0.14778163176479525, -0.1265449001903421, 0.051443561767067374, 0.31010928019431644, -0.2365395344697453, -0.3154769114636142, 0.07724972579885146, -0.2528334108646959, -0.12638631087310356, 0.18122818573088995, -0.061327390019492854, -0.03611729477114718, 0.02797175860353585, 0.06424529018715538, 0.013435821522605317, -0.27722309555473, 0.30548477304119875, 0.09513105059158988, 0.22600814130093003, 0.047308465353502284, 0.11881408970481877, -0.06770563245237131, -0.016086057695592272, 0.008121570034337968, -0.08951988080160186, 0.1058928201231977, 0.1623829244555713, 0.24393056479989197, 0.2852337246054205, -0.44258768159639217, -0.2659925439611784, 0.14141968947610464, 0.11803724292408803, 0.13307952639197224, -0.056776821478832, -0.2385749494624806, 0.11593451277866702, -0.11829923992526942, -0.15079701289630912, -0.05635173942347796, -0.004440458780475731, -0.07879968207522199, -0.18772320513380691, 0.07276209469499259, 0.09811998505530686, 0.0065271350844153045, -0.029199875792857773, -0.08100329166085556, -0.0023691585680855245, 0.11100715456594681, 0.051700969897050024, 0.04041983348574361, 0.1099132642085696, -0.09056566147824172, -0.16500751326535026, 0.4575022140453602, -0.06885095326037242, -0.1844128155117405, 0.2030888805366603, -0.1557031504805842, -0.1312735112110988, 0.06182075723411579, 0.04186066475612561, 0.07019384776980712, -0.1879064729276659, 0.12588432691349039, -0.12759728808405585, 0.2589214390850273, 0.019515904634066952, -0.025291688091940535, 0.30287674483682575, 0.20153122221858338, -0.02531532703593759, 0.06142971362790157, 0.026548157518344193, -0.109870503142733, -0.38356650450491697, -0.14833041237554803, -0.21280329073939858, 0.06553466580752966, -0.03641785603169159, -0.15623348431083664, 0.37508612623887844, 0.21726895360565135, 0.18185690400222765, 0.010810327748286313, 0.26086766998572597, 0.0637984184150841, 0.049093609980853464, 0.03556136562938577, 0.2815149510921589, 0.10072417312039761, 0.08477960656605789, -0.11916099164378026, 0.1534031510025921, 0.02988145744492268] |
710.3138 | Phase operator of the quantum supersymmetric harmonic oscillator | After a brief introduction recalling how, in the limit in which the mass and
the electric charge of the electron and the positron tend to zero, Quantum
Electrodynamics reduces to a collection of uncoupled quantum supersymmetric
harmonic oscillators, the phase operator of the quantum fermionic harmonic
oscillator and of the quantum supersymmetric harmonic oscillator are introduced
and their properties analyzed. It is then shown that the phase operator of a
supersymmetric harmonic oscillator is a Goldstone operator at any strictly
positive temperature (finite or infinite).
| quant-ph hep-th | after a brief introduction recalling how in the limit in which the mass and the electric charge of the electron and the positron tend to zero quantum electrodynamics reduces to a collection of uncoupled quantum supersymmetric harmonic oscillators the phase operator of the quantum fermionic harmonic oscillator and of the quantum supersymmetric harmonic oscillator are introduced and their properties analyzed it is then shown that the phase operator of a supersymmetric harmonic oscillator is a goldstone operator at any strictly positive temperature finite or infinite | [['after', 'a', 'brief', 'introduction', 'recalling', 'how', 'in', 'the', 'limit', 'in', 'which', 'the', 'mass', 'and', 'the', 'electric', 'charge', 'of', 'the', 'electron', 'and', 'the', 'positron', 'tend', 'to', 'zero', 'quantum', 'electrodynamics', 'reduces', 'to', 'a', 'collection', 'of', 'uncoupled', 'quantum', 'supersymmetric', 'harmonic', 'oscillators', 'the', 'phase', 'operator', 'of', 'the', 'quantum', 'fermionic', 'harmonic', 'oscillator', 'and', 'of', 'the', 'quantum', 'supersymmetric', 'harmonic', 'oscillator', 'are', 'introduced', 'and', 'their', 'properties', 'analyzed', 'it', 'is', 'then', 'shown', 'that', 'the', 'phase', 'operator', 'of', 'a', 'supersymmetric', 'harmonic', 'oscillator', 'is', 'a', 'goldstone', 'operator', 'at', 'any', 'strictly', 'positive', 'temperature', 'finite', 'or', 'infinite']] | [-0.10074937371947967, 0.2920854242408977, -0.04789426481789526, 0.05337031034697943, -0.01565742737010998, -0.19391952737727586, 0.01928025172913776, 0.308672393683125, -0.19357006765682908, -0.17145843320690535, 0.04682429188533741, -0.34192461980616345, -0.14325769135235425, 0.17096075990565998, -0.019938873285975527, 0.10279201951206607, 0.013875074673663168, 0.12274387143552304, -0.0759076133123873, -0.22287848475663102, 0.2946761315031087, 0.033552165422588584, 0.22901369290535942, 0.07297175172716379, 0.14267749202382915, -0.0023785059175947133, 0.03933374213383478, -0.02930973800008788, -0.0781111721857622, 0.09919004634241847, 0.21233650270219454, 0.015785524818827123, 0.2431070049512474, -0.4127991598318605, -0.19034119051168946, 0.14676423915387954, 0.13252168709193082, 0.1491790947271511, -0.022795061553444934, -0.29154255069134866, 0.0031224911087466512, -0.18923047946437316, -0.16919434268904082, -0.06815743182292756, 0.014846258051693439, 1.8508995280546301e-06, -0.2284946886507575, 0.07340400544378688, 0.11839296068338787, 0.058020947785938484, -0.04064925919553977, -0.039855626808917695, -0.0703796074287418, 0.0538953297853689, 0.005216971209601445, 0.013766241543378462, 0.17295247435241062, -0.10902244421269963, -0.11500282968010972, 0.3968123362673556, -0.08538650877992897, -0.2307147840366644, 0.12269911593620611, -0.16714160459883073, -0.0624517435714712, 0.09446929206058163, 0.09118897028486518, 0.07285079519976588, -0.1321772604742471, 0.1871649722376948, 0.03923588912824497, 0.15078922101460834, 0.08177315900102258, 0.05929179022307782, 0.2373815951978459, 0.07375345997074072, 0.09143275014836999, 0.1810040640699513, -0.004200097129625433, -0.17803389051490848, -0.3574985107078272, -0.18229680846938315, -0.20908026326009455, 0.11535981215317459, -0.06113088401513832, -0.21579254916150067, 0.46519784045350904, 0.08479063346543733, 0.15832025445997716, 0.025199100102626663, 0.26766968920881695, 0.21941571790067588, 0.035703909473137604, -0.007921319967135788, 0.25165645696277567, 0.2483012006344164, 0.13528436511097586, -0.3030303933082477, -0.16420247468768673, 0.12579589554053897] |
710.3139 | On gradient bounds for the heat kernel on the Heisenberg group | It is known that the couple formed by the two dimensional Brownian motion and
its L\'evy area leads to the heat kernel on the Heisenberg group, which is one
of the simplest sub-Riemannian space. The associated diffusion operator is
hypoelliptic but not elliptic, which makes difficult the derivation of
functional inequalities for the heat kernel. However, Driver and Melcher and
more recently H.-Q. Li have obtained useful gradient bounds for the heat kernel
on the Heisenberg group. We provide in this paper simple proofs of these
bounds, and explore their consequences in terms of functional inequalities,
including Cheeger and Bobkov type isoperimetric inequalities for the heat
kernel.
| math.PR | it is known that the couple formed by the two dimensional brownian motion and its levy area leads to the heat kernel on the heisenberg group which is one of the simplest subriemannian space the associated diffusion operator is hypoelliptic but not elliptic which makes difficult the derivation of functional inequalities for the heat kernel however driver and melcher and more recently hq li have obtained useful gradient bounds for the heat kernel on the heisenberg group we provide in this paper simple proofs of these bounds and explore their consequences in terms of functional inequalities including cheeger and bobkov type isoperimetric inequalities for the heat kernel | [['it', 'is', 'known', 'that', 'the', 'couple', 'formed', 'by', 'the', 'two', 'dimensional', 'brownian', 'motion', 'and', 'its', 'levy', 'area', 'leads', 'to', 'the', 'heat', 'kernel', 'on', 'the', 'heisenberg', 'group', 'which', 'is', 'one', 'of', 'the', 'simplest', 'subriemannian', 'space', 'the', 'associated', 'diffusion', 'operator', 'is', 'hypoelliptic', 'but', 'not', 'elliptic', 'which', 'makes', 'difficult', 'the', 'derivation', 'of', 'functional', 'inequalities', 'for', 'the', 'heat', 'kernel', 'however', 'driver', 'and', 'melcher', 'and', 'more', 'recently', 'hq', 'li', 'have', 'obtained', 'useful', 'gradient', 'bounds', 'for', 'the', 'heat', 'kernel', 'on', 'the', 'heisenberg', 'group', 'we', 'provide', 'in', 'this', 'paper', 'simple', 'proofs', 'of', 'these', 'bounds', 'and', 'explore', 'their', 'consequences', 'in', 'terms', 'of', 'functional', 'inequalities', 'including', 'cheeger', 'and', 'bobkov', 'type', 'isoperimetric', 'inequalities', 'for', 'the', 'heat', 'kernel']] | [-0.07041061281518712, 0.08085412545929188, -0.0625729168642242, 0.11700661508542187, -0.1530017744538919, -0.15699101123027503, 0.023783287754994026, 0.3462145190931997, -0.2962639209867086, -0.23834692528207768, 0.1470901510427829, -0.305582658730377, -0.14201780289130392, 0.2792564269049831, -0.07592972169436936, 0.07376092779483066, 0.048385537334911105, 0.08204329083042158, -0.05622568749603025, -0.23935140226638155, 0.36013155300521627, 0.010847289126173084, 0.20894971680344204, 0.09881093433864836, 0.09228514123022696, -0.017690500771661975, -0.04193178255919297, -0.00969789615191985, -0.19633316537970733, 0.20010716192433084, 0.2211820651109348, 0.005291875161863161, 0.25688324244868643, -0.4234364585564384, -0.23352136777467886, 0.14163584050498376, 0.09639077475470192, 0.018547957497297454, -0.028541876236663228, -0.2874946198316361, -0.001428712897424428, -0.11118986136016418, -0.12672656071635913, -0.12378267278534553, 0.012694311438058064, 0.02294942316981384, -0.24433165803147516, 0.1616049255420155, 0.1494668225558993, 0.01717209016776837, -0.06487311871682803, -0.12738670201813979, 0.014686542822329222, 0.07648184472905858, 0.03259246218905626, 0.00021644505531579817, 0.12197412637870689, -0.09552156273584499, -0.10332785776974458, 0.3282330667354026, -0.05348515984127825, -0.25858114019501954, 0.17400912326356432, -0.16280190027670338, -0.1446522487819476, 0.041570343534057995, 0.11968184225612653, 0.12396963680479324, -0.19714782129586586, 0.16171464818817527, -0.030462335518403154, 0.043836952661568264, 0.04893807501901152, 0.028006580558315553, 0.0478361408085615, 0.10763548298756469, 0.15143790092749768, 0.14407189949503485, -0.04409764916690963, -0.1269848433252916, -0.31720075847686463, -0.24397308730854178, -0.22045142497023884, 0.08080046145338235, -0.16504214876394538, -0.1858997576725054, 0.3628143795374957, 0.08283176409895532, 0.16247626697152573, 0.0636406619703608, 0.18856182979542832, 0.16295137994632758, 0.07440059622617895, 0.12519479492011498, 0.19277679754139962, 0.23479268298581032, 0.12090632050157578, -0.2264871973509215, 0.08235634583979845, 0.18338699830379687] |
710.314 | Numerical wave optics and the lensing of gravitational waves by globular
clusters | We consider the possible effects of gravitational lensing by globular
clusters on gravitational waves from asymmetric neutron stars in our galaxy. In
the lensing of gravitational waves, the long wavelength, compared with the
usual case of optical lensing, can lead to the geometrical optics approximation
being invalid, in which case a wave optical solution is necessary. In general,
wave optical solutions can only be obtained numerically. We describe a
computational method that is particularly well suited to numerical wave optics.
This method enables us to compare the properties of several lens models for
globular clusters without ever calling upon the geometrical optics
approximation, though that approximation would sometimes have been valid.
Finally, we estimate the probability that lensing by a globular cluster will
significantly affect the detection, by ground-based laser interferometer
detectors such as LIGO, of gravitational waves from an asymmetric neutron star
in our galaxy, finding that the probability is insignificantly small.
| gr-qc | we consider the possible effects of gravitational lensing by globular clusters on gravitational waves from asymmetric neutron stars in our galaxy in the lensing of gravitational waves the long wavelength compared with the usual case of optical lensing can lead to the geometrical optics approximation being invalid in which case a wave optical solution is necessary in general wave optical solutions can only be obtained numerically we describe a computational method that is particularly well suited to numerical wave optics this method enables us to compare the properties of several lens models for globular clusters without ever calling upon the geometrical optics approximation though that approximation would sometimes have been valid finally we estimate the probability that lensing by a globular cluster will significantly affect the detection by groundbased laser interferometer detectors such as ligo of gravitational waves from an asymmetric neutron star in our galaxy finding that the probability is insignificantly small | [['we', 'consider', 'the', 'possible', 'effects', 'of', 'gravitational', 'lensing', 'by', 'globular', 'clusters', 'on', 'gravitational', 'waves', 'from', 'asymmetric', 'neutron', 'stars', 'in', 'our', 'galaxy', 'in', 'the', 'lensing', 'of', 'gravitational', 'waves', 'the', 'long', 'wavelength', 'compared', 'with', 'the', 'usual', 'case', 'of', 'optical', 'lensing', 'can', 'lead', 'to', 'the', 'geometrical', 'optics', 'approximation', 'being', 'invalid', 'in', 'which', 'case', 'a', 'wave', 'optical', 'solution', 'is', 'necessary', 'in', 'general', 'wave', 'optical', 'solutions', 'can', 'only', 'be', 'obtained', 'numerically', 'we', 'describe', 'a', 'computational', 'method', 'that', 'is', 'particularly', 'well', 'suited', 'to', 'numerical', 'wave', 'optics', 'this', 'method', 'enables', 'us', 'to', 'compare', 'the', 'properties', 'of', 'several', 'lens', 'models', 'for', 'globular', 'clusters', 'without', 'ever', 'calling', 'upon', 'the', 'geometrical', 'optics', 'approximation', 'though', 'that', 'approximation', 'would', 'sometimes', 'have', 'been', 'valid', 'finally', 'we', 'estimate', 'the', 'probability', 'that', 'lensing', 'by', 'a', 'globular', 'cluster', 'will', 'significantly', 'affect', 'the', 'detection', 'by', 'groundbased', 'laser', 'interferometer', 'detectors', 'such', 'as', 'ligo', 'of', 'gravitational', 'waves', 'from', 'an', 'asymmetric', 'neutron', 'star', 'in', 'our', 'galaxy', 'finding', 'that', 'the', 'probability', 'is', 'insignificantly', 'small']] | [-0.0994634093515867, 0.09784097634524098, -0.11845430631945336, 0.12239121025568178, -0.12784632973165977, -0.07074965114455695, -0.002135773063059044, 0.39297894924860816, -0.19510128670159022, -0.29483328155832356, 0.04825124949798158, -0.2800412564294936, -0.15292069278817222, 0.2693758910655781, -0.005123516424479925, 0.07374152932483459, 0.10847889815664126, -0.01889406485190871, -0.054565269896057526, -0.24396663838906177, 0.3020336781476253, 0.1118004753016958, 0.19801038033115903, -0.03164498137273625, 0.0680850383009932, 0.00442337513797813, -0.041388128245374176, 0.03709968458556759, -0.12317548163354647, 0.029543637390114563, 0.26604405695716016, 0.14846653414257113, 0.21684548447785132, -0.43248837242767313, -0.2537474303500228, 0.06722426626167802, 0.19455864551489307, 0.18472513551382483, -0.0742097404866108, -0.3315733329490363, 0.03568722551621594, -0.18874677618222882, -0.18852473709890558, -0.024694806293529624, 0.0053290875987728045, 0.10755658468986357, -0.21632911844385994, 0.10186842601028046, 0.019635488909937052, -0.05039847503397979, -0.08262547444296527, -0.052498802558665035, 0.03036527500515541, 0.037042958920614585, 0.005160888440121769, 0.05951433956130024, 0.11752808055067374, -0.14938174991783218, -0.043391263696785067, 0.42821044496753635, -0.06477497523731181, -0.1386242754562618, 0.18879003968436783, -0.1923260370518988, -0.1335294074409343, 0.12147930742460578, 0.16318202215350336, 0.12220061321596742, -0.15368959138754243, 0.05176057127403576, 0.00921051725743299, 0.2076674581671231, 0.14360763416077724, 0.06534158852270171, 0.2982315996698305, 0.13584243187230396, 0.09362798758319829, 0.12626404226818458, -0.19417200521626846, -0.022362764766881107, -0.245449325221962, -0.06801319860828907, -0.17019083754165598, 0.07060470014250932, -0.12898799641897865, -0.14873795412493004, 0.3281764368544899, 0.1603911991833764, 0.0822297477291203, 0.037702789684617585, 0.3306199086988284, 0.10909766378565966, 0.0845441078657613, 0.010357908085840785, 0.3881649028972473, 0.15428917379319376, 0.08128134799768137, -0.23555865868761697, 0.05622873931599696, 0.019750329259527372] |
710.3141 | Clues to Globular Cluster Evolution from Multiwavelength Observations of
Extragalactic Systems | We present a study of the globular cluster (GC) systems of nearby elliptical
and S0 galaxies at a variety of wavelengths from the X-ray to the infrared. Our
analysis shows that roughly half of the low mass X-ray binaries (LMXBs), that
are the luminous tracers of accreting neutron star or black hole systems, are
in clusters. There is a surprisingly strong correlation between the LMXB
frequency and the metallicity of the GCs, with metal-rich GCs hosting three
times as many LMXBs as metal-poor ones, and no convincing evidence of a
correlation with GC age so far. In some of the galaxies the LMXB formation rate
varies with GC color even within the red peak of the typical bimodal cluster
color distribution, providing some of the strongest evidence to date that there
are metallicity variations within the metal-rich GC peak as is expected in a
hierarchical galaxy formation scenario. We also note that any analysis of
subtler variations in GC color distributions must carefully account for both
statistical and systematic errors. We caution that some published GC
correlations, such as the apparent 'blue-tilt' or mass-metallicity effect might
not have a physical origin and may be caused by systematic observational
biases.
| astro-ph | we present a study of the globular cluster gc systems of nearby elliptical and s0 galaxies at a variety of wavelengths from the xray to the infrared our analysis shows that roughly half of the low mass xray binaries lmxbs that are the luminous tracers of accreting neutron star or black hole systems are in clusters there is a surprisingly strong correlation between the lmxb frequency and the metallicity of the gcs with metalrich gcs hosting three times as many lmxbs as metalpoor ones and no convincing evidence of a correlation with gc age so far in some of the galaxies the lmxb formation rate varies with gc color even within the red peak of the typical bimodal cluster color distribution providing some of the strongest evidence to date that there are metallicity variations within the metalrich gc peak as is expected in a hierarchical galaxy formation scenario we also note that any analysis of subtler variations in gc color distributions must carefully account for both statistical and systematic errors we caution that some published gc correlations such as the apparent bluetilt or massmetallicity effect might not have a physical origin and may be caused by systematic observational biases | [['we', 'present', 'a', 'study', 'of', 'the', 'globular', 'cluster', 'gc', 'systems', 'of', 'nearby', 'elliptical', 'and', 's0', 'galaxies', 'at', 'a', 'variety', 'of', 'wavelengths', 'from', 'the', 'xray', 'to', 'the', 'infrared', 'our', 'analysis', 'shows', 'that', 'roughly', 'half', 'of', 'the', 'low', 'mass', 'xray', 'binaries', 'lmxbs', 'that', 'are', 'the', 'luminous', 'tracers', 'of', 'accreting', 'neutron', 'star', 'or', 'black', 'hole', 'systems', 'are', 'in', 'clusters', 'there', 'is', 'a', 'surprisingly', 'strong', 'correlation', 'between', 'the', 'lmxb', 'frequency', 'and', 'the', 'metallicity', 'of', 'the', 'gcs', 'with', 'metalrich', 'gcs', 'hosting', 'three', 'times', 'as', 'many', 'lmxbs', 'as', 'metalpoor', 'ones', 'and', 'no', 'convincing', 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'systematic', 'observational', 'biases']] | [-0.08797044385617701, 0.09600568416671144, -0.11994281856006189, 0.18497914954947994, -0.10210973142772614, -0.04685824062094916, 0.07872816030024996, 0.46808096911552266, -0.12281250648771473, -0.3489031581601231, 0.03562435850819301, -0.32482715175678983, -0.06094588081460053, 0.1987301553556941, -0.05414393648561371, -0.041537190321832895, 0.07672405880279184, -0.034523783270363234, -0.06254168889300951, -0.27195245208600116, 0.3139070398782628, 0.014630098414172106, 0.15232162955176112, -0.04830687114472815, 0.0287141766536328, -0.0854415845982356, -0.03007223473712053, 0.015544120208290055, -0.11346772953435158, 0.006017142433226202, 0.25878763544471495, 0.14035788333586338, 0.23962861318878323, -0.3292282677990333, -0.20826941675429897, 0.10390367005815983, 0.2435615181667852, 0.06505690442969152, -0.14801679207152457, -0.22734507008914334, 0.08982343938969188, -0.19773141474196285, -0.17750495748393164, 0.09919976737425105, 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710.3142 | Application of the dual-kinetic-balance sets in the relativistic
many-body problem of atomic structure | The dual-kinetic-balance (DKB) finite basis set method for solving the Dirac
equation for hydrogen-like ions [V. M. Shabaev et al., Phys. Rev. Lett. 93,
130405 (2004)] is extended to problems with a non-local spherically-symmetric
Dirac-Hartree-Fock potential. We implement the DKB method using B-spline basis
sets and compare its performance with the widely-employed approach of Notre
Dame (ND) group [W.R. Johnson and J. Sapirstein, Phys. Rev. Lett. 57, 1126
(1986)]. We compare the performance of the ND and DKB methods by computing
various properties of Cs atom: energies, hyperfine integrals, the
parity-non-conserving amplitude of the $6s_{1/2}-7s_{1/2}$ transition, and the
second-order many-body correction to the removal energy of the valence
electrons. We find that for a comparable size of the basis set the accuracy of
both methods is similar for matrix elements accumulated far from the nuclear
region. However, for atomic properties determined by small distances, the DKB
method outperforms the ND approach. In addition, we present a strategy for
optimizing the size of the basis sets by choosing progressively smaller number
of basis functions for increasingly higher partial waves. This strategy
exploits suppression of contributions of high partial waves to typical
many-body correlation corrections.
| physics.atom-ph | the dualkineticbalance dkb finite basis set method for solving the dirac equation for hydrogenlike ions v m shabaev et al phys rev lett 93 130405 2004 is extended to problems with a nonlocal sphericallysymmetric dirachartreefock potential we implement the dkb method using bspline basis sets and compare its performance with the widelyemployed approach of notre dame nd group wr johnson and j sapirstein phys rev lett 57 1126 1986 we compare the performance of the nd and dkb methods by computing various properties of cs atom energies hyperfine integrals the paritynonconserving amplitude of the 6s_127s_12 transition and the secondorder manybody correction to the removal energy of the valence electrons we find that for a comparable size of the basis set the accuracy of both methods is similar for matrix elements accumulated far from the nuclear region however for atomic properties determined by small distances the dkb method outperforms the nd approach in addition we present a strategy for optimizing the size of the basis sets by choosing progressively smaller number of basis functions for increasingly higher partial waves this strategy exploits suppression of contributions of high partial waves to typical manybody correlation corrections | [['the', 'dualkineticbalance', 'dkb', 'finite', 'basis', 'set', 'method', 'for', 'solving', 'the', 'dirac', 'equation', 'for', 'hydrogenlike', 'ions', 'v', 'm', 'shabaev', 'et', 'al', 'phys', 'rev', 'lett', '93', '130405', '2004', 'is', 'extended', 'to', 'problems', 'with', 'a', 'nonlocal', 'sphericallysymmetric', 'dirachartreefock', 'potential', 'we', 'implement', 'the', 'dkb', 'method', 'using', 'bspline', 'basis', 'sets', 'and', 'compare', 'its', 'performance', 'with', 'the', 'widelyemployed', 'approach', 'of', 'notre', 'dame', 'nd', 'group', 'wr', 'johnson', 'and', 'j', 'sapirstein', 'phys', 'rev', 'lett', '57', '1126', '1986', 'we', 'compare', 'the', 'performance', 'of', 'the', 'nd', 'and', 'dkb', 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'suppression', 'of', 'contributions', 'of', 'high', 'partial', 'waves', 'to', 'typical', 'manybody', 'correlation', 'corrections']] | [-0.06482977881071665, 0.07847192824359923, -0.03139611205366987, 0.0030895100897867923, -0.021744219251174146, -0.07632831350540516, 0.08946749962812102, 0.3336991509471936, -0.1863426110983171, -0.3121480824297698, -0.023202602198426292, -0.32209120024606663, -0.11698811931200523, 0.18548520220931441, -0.017115480504423707, 0.06713527379152193, 0.055813802475178684, -0.043621975635350856, -0.11498753890449369, -0.258715888987931, 0.2507690051471982, 0.09605500380454397, 0.27467901545786794, 0.049168050776989686, 0.07060622085235697, 0.04040681146129611, -0.014543565856810246, 0.022824442287273802, -0.13413644962342458, 0.11211212646221082, 0.22437851190956298, 0.09753077203733107, 0.26829901384436106, -0.3961686309052523, -0.18565117439135623, 0.06822491459494269, 0.07764976491126671, 0.14618648509815257, -0.01464177895258501, -0.32712478367069725, 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710.3143 | Solving Schrodinger Equation for Three-Electron Quantum Systems by the
Use of The Hyperspherical Function Method | A new mathematical model for the description of three electron quantum dots
in 2D space is created, and ground states of this system in external magnetic
field is investigated. The Schrodinger equation for three two-dimensional
electrons is solved by the use of the Hyperspherical Function Method (HFM) It
is shown that the HFM allows us to separate the center of mass movement and
solve Schrodinger Equation with the use of the logarithmic potential of
electron-electron interactions. Ground state energy levels as function of the
magnetic field frequency is obtained.
| math-ph math.MP | a new mathematical model for the description of three electron quantum dots in 2d space is created and ground states of this system in external magnetic field is investigated the schrodinger equation for three twodimensional electrons is solved by the use of the hyperspherical function method hfm it is shown that the hfm allows us to separate the center of mass movement and solve schrodinger equation with the use of the logarithmic potential of electronelectron interactions ground state energy levels as function of the magnetic field frequency is obtained | [['a', 'new', 'mathematical', 'model', 'for', 'the', 'description', 'of', 'three', 'electron', 'quantum', 'dots', 'in', '2d', 'space', 'is', 'created', 'and', 'ground', 'states', 'of', 'this', 'system', 'in', 'external', 'magnetic', 'field', 'is', 'investigated', 'the', 'schrodinger', 'equation', 'for', 'three', 'twodimensional', 'electrons', 'is', 'solved', 'by', 'the', 'use', 'of', 'the', 'hyperspherical', 'function', 'method', 'hfm', 'it', 'is', 'shown', 'that', 'the', 'hfm', 'allows', 'us', 'to', 'separate', 'the', 'center', 'of', 'mass', 'movement', 'and', 'solve', 'schrodinger', 'equation', 'with', 'the', 'use', 'of', 'the', 'logarithmic', 'potential', 'of', 'electronelectron', 'interactions', 'ground', 'state', 'energy', 'levels', 'as', 'function', 'of', 'the', 'magnetic', 'field', 'frequency', 'is', 'obtained']] | [-0.12234992533791392, 0.12237209102578378, -0.061028563585577095, 0.06829628390730934, -0.024473318217971017, -0.12799760325173482, -0.015090481677351603, 0.33703255922313824, -0.2717268315478741, -0.30606475558257507, 0.0009687607244619827, -0.27963413104295254, -0.09556385401761934, 0.1971836104711748, 0.059822439990435426, 0.06410869913112917, 0.042115216739894296, 0.04183147539740449, -0.04938740020335307, -0.1884935795109761, 0.3489075010940642, 0.007447088769051048, 0.28573632767434454, 0.059176003241262744, 0.13213443543678255, 0.033518263405670275, 0.07608304536911879, -0.0015680894541444277, -0.10435450333734683, 0.1035871934740846, 0.1792841392537851, 0.03758620512619447, 0.27075062653970683, -0.45015278607188314, -0.22561196465924216, 0.04316337757189287, 0.14027949416057697, 0.1502149652642606, -0.0389659877740935, -0.30660226905530086, 0.010083682301422854, -0.16213848261853284, -0.18964441264508647, -0.09592645133981544, 0.01652565556892267, 0.020027297957057363, -0.2741986371817465, 0.09667994393810128, 0.017407900781967165, 0.015086960445126791, -0.1587568520250458, -0.07388517306986778, -0.020353384410146245, 0.11836682250356992, 0.011916255875323177, 0.0796961284718696, 0.10085469019714366, -0.14710651372894226, -0.09858227827261841, 0.38638561434541524, -0.0455960235061396, -0.2228749282030242, 0.15079587599618383, -0.1558682324804282, -0.055636250691258174, 0.1314199302722229, 0.13665765952946765, 0.0966239412670976, -0.1800308750086893, 0.15319620604820425, -0.017070600600766667, 0.15028287739273202, 0.022960368386898817, 0.004022061432387387, 0.16210323787723366, 0.15315822076596572, 0.05870382362202312, 0.14985175688196434, -0.10402610288149569, -0.11500064187599451, -0.24835517529523773, -0.1894432779903827, -0.25359606217551095, 0.058667411441715916, -0.030445700657509497, -0.17494953164845192, 0.4396599692847119, 0.13249771886641223, 0.14269594448942985, -0.0515104585923673, 0.27433185350526584, 0.19947643097348805, 0.03280330404673253, 0.03654507968020154, 0.23347078453163417, 0.18162985480641633, 0.09501711574247045, -0.273795049705574, -0.044294534769076646, 0.0927593748482844] |
710.3144 | Quantum/Classical Interface: Fermion Spin | Although intrinsic spin is usually viewed as a purely quantum property with
no classical analog, we present evidence here that fermion spin has a classical
origin rooted in the geometry of three-dimensional physical space. Our approach
to the quantum/classical interface is based on a formulation of relativistic
classical mechanics that uses spinors. Spinors and projectors arise naturally
in the Clifford's geometric algebra of physical space and not only provide
powerful tools for solving problems in classical electrodynamics, but also
reproduce a number of quantum results. In particular, many properites of
elementary fermions, as spin-1/2 particles, are obtained classically and relate
spin, the associated g-factor, its coupling to an external magnetic field, and
its magnetic moment to Zitterbewegung and de Broglie waves. The relationship is
further strengthened by the fact that physical space and its geometric algebra
can be derived from fermion annihilation and creation operators. The approach
resolves Pauli's argument against treating time as an operator by recognizing
phase factors as projected rotation operators.
| quant-ph | although intrinsic spin is usually viewed as a purely quantum property with no classical analog we present evidence here that fermion spin has a classical origin rooted in the geometry of threedimensional physical space our approach to the quantumclassical interface is based on a formulation of relativistic classical mechanics that uses spinors spinors and projectors arise naturally in the cliffords geometric algebra of physical space and not only provide powerful tools for solving problems in classical electrodynamics but also reproduce a number of quantum results in particular many properites of elementary fermions as spin12 particles are obtained classically and relate spin the associated gfactor its coupling to an external magnetic field and its magnetic moment to zitterbewegung and de broglie waves the relationship is further strengthened by the fact that physical space and its geometric algebra can be derived from fermion annihilation and creation operators the approach resolves paulis argument against treating time as an operator by recognizing phase factors as projected rotation operators | [['although', 'intrinsic', 'spin', 'is', 'usually', 'viewed', 'as', 'a', 'purely', 'quantum', 'property', 'with', 'no', 'classical', 'analog', 'we', 'present', 'evidence', 'here', 'that', 'fermion', 'spin', 'has', 'a', 'classical', 'origin', 'rooted', 'in', 'the', 'geometry', 'of', 'threedimensional', 'physical', 'space', 'our', 'approach', 'to', 'the', 'quantumclassical', 'interface', 'is', 'based', 'on', 'a', 'formulation', 'of', 'relativistic', 'classical', 'mechanics', 'that', 'uses', 'spinors', 'spinors', 'and', 'projectors', 'arise', 'naturally', 'in', 'the', 'cliffords', 'geometric', 'algebra', 'of', 'physical', 'space', 'and', 'not', 'only', 'provide', 'powerful', 'tools', 'for', 'solving', 'problems', 'in', 'classical', 'electrodynamics', 'but', 'also', 'reproduce', 'a', 'number', 'of', 'quantum', 'results', 'in', 'particular', 'many', 'properites', 'of', 'elementary', 'fermions', 'as', 'spin12', 'particles', 'are', 'obtained', 'classically', 'and', 'relate', 'spin', 'the', 'associated', 'gfactor', 'its', 'coupling', 'to', 'an', 'external', 'magnetic', 'field', 'and', 'its', 'magnetic', 'moment', 'to', 'zitterbewegung', 'and', 'de', 'broglie', 'waves', 'the', 'relationship', 'is', 'further', 'strengthened', 'by', 'the', 'fact', 'that', 'physical', 'space', 'and', 'its', 'geometric', 'algebra', 'can', 'be', 'derived', 'from', 'fermion', 'annihilation', 'and', 'creation', 'operators', 'the', 'approach', 'resolves', 'paulis', 'argument', 'against', 'treating', 'time', 'as', 'an', 'operator', 'by', 'recognizing', 'phase', 'factors', 'as', 'projected', 'rotation', 'operators']] | [-0.13039902853211616, 0.18340577966858002, -0.11117949935312314, 0.10744008401383237, -0.1293256600847377, -0.13739899950522202, -0.007146367641015365, 0.3150617021999163, -0.2741742269987831, -0.29289860667223566, 0.06638223619098071, -0.22997668269090354, -0.16997353181924577, 0.2148711310199848, -0.0436332271286718, 0.016428902059887174, 0.018936825895585437, 0.03639993585930802, -0.08764046372522077, -0.17238444362613714, 0.3438951625749923, 0.029579956993097213, 0.2298448136879881, 0.0414401981255562, 0.11257185000307267, 0.04802290346791468, 0.03169790136332556, 0.028465247285877435, -0.060648992710145934, 0.09083213991053947, 0.22377664203437544, 0.08770450466687268, 0.19012416670632706, -0.4456205110338221, -0.20995247849013385, 0.07616558958912586, 0.16102155579236996, 0.13571536175270632, -0.05761047531978409, -0.3244666344338528, 0.0015595339482831882, -0.1476233368256788, -0.16533713219346616, -0.10741655093123682, 0.009564240654027544, -0.06442147620851402, -0.20896742381325856, 0.08965883249251552, 0.09711680953992849, 0.06453350737892168, -0.07443115162512674, -0.09468172693613736, -0.03504448973079689, 0.07243153984692492, 0.03180609840584533, 0.052756344847006316, 0.12601067648743416, -0.10227396897403751, -0.2086258988760741, 0.4077461566094582, -0.027882166161406333, -0.23976004252028538, 0.18674251169715894, -0.1312673638791993, -0.11129794964245975, 0.07862775046137026, 0.09329271720858609, 0.09282756537886155, -0.13529570111096267, 0.1527967332559212, -0.07260616593028806, 0.12611286064166938, 0.04155957339496193, 0.0997517011973087, 0.22914332188822034, 0.08066034420938571, 0.03617335750583684, 0.10930270480812618, -0.024134352313434113, -0.15528922565508543, -0.30932352480708575, -0.20670804755887154, -0.22393918660520462, 0.09076632475688068, -0.0901578563279167, -0.18139217727215642, 0.350138333779419, 0.15387717793587732, 0.15640698602173206, 0.0029320247732557174, 0.27028369496110827, 0.1449692337298141, 0.07115649326034344, 0.04003503448585412, 0.2382263409430956, 0.22599740534532453, 0.08647308844175734, -0.23797932723125376, -0.006810351950684335, 0.12119261281303607] |
710.3145 | Population transfer between two quantum states by piecewise chirping of
femtosecond pulses: Theory and experiment | We propose and demonstrate the method of population transfer by piecewise
adiabatic passage between two quantum states. Coherent excitation of a
two-level system with a train of ultrashort laser pulses is shown to reproduce
the effect of an adiabatic passage, conventionally achieved with a single
frequency-chirped pulse. By properly adjusting the amplitudes and phases of the
pulses in the excitation pulse train, we achieve complete and robust population
transfer to the target state. The effect is demonstrated experimentally by
observing piecewise excitation of Rubidium atoms from 5s_1/2 to 5p_1/2
electronic state. We show that similarly to the conventional adiabatic passage,
the piecewise process is insensitive to the total excitation energy as long as
the adiabaticity conditions are satisfied. The piecewise nature of the process
suggests that robust and selective population transfer could be implemented in
a variety of complex quantum systems beyond the two-level approximation.
| physics.atom-ph | we propose and demonstrate the method of population transfer by piecewise adiabatic passage between two quantum states coherent excitation of a twolevel system with a train of ultrashort laser pulses is shown to reproduce the effect of an adiabatic passage conventionally achieved with a single frequencychirped pulse by properly adjusting the amplitudes and phases of the pulses in the excitation pulse train we achieve complete and robust population transfer to the target state the effect is demonstrated experimentally by observing piecewise excitation of rubidium atoms from 5s_12 to 5p_12 electronic state we show that similarly to the conventional adiabatic passage the piecewise process is insensitive to the total excitation energy as long as the adiabaticity conditions are satisfied the piecewise nature of the process suggests that robust and selective population transfer could be implemented in a variety of complex quantum systems beyond the twolevel approximation | [['we', 'propose', 'and', 'demonstrate', 'the', 'method', 'of', 'population', 'transfer', 'by', 'piecewise', 'adiabatic', 'passage', 'between', 'two', 'quantum', 'states', 'coherent', 'excitation', 'of', 'a', 'twolevel', 'system', 'with', 'a', 'train', 'of', 'ultrashort', 'laser', 'pulses', 'is', 'shown', 'to', 'reproduce', 'the', 'effect', 'of', 'an', 'adiabatic', 'passage', 'conventionally', 'achieved', 'with', 'a', 'single', 'frequencychirped', 'pulse', 'by', 'properly', 'adjusting', 'the', 'amplitudes', 'and', 'phases', 'of', 'the', 'pulses', 'in', 'the', 'excitation', 'pulse', 'train', 'we', 'achieve', 'complete', 'and', 'robust', 'population', 'transfer', 'to', 'the', 'target', 'state', 'the', 'effect', 'is', 'demonstrated', 'experimentally', 'by', 'observing', 'piecewise', 'excitation', 'of', 'rubidium', 'atoms', 'from', '5s_12', 'to', '5p_12', 'electronic', 'state', 'we', 'show', 'that', 'similarly', 'to', 'the', 'conventional', 'adiabatic', 'passage', 'the', 'piecewise', 'process', 'is', 'insensitive', 'to', 'the', 'total', 'excitation', 'energy', 'as', 'long', 'as', 'the', 'adiabaticity', 'conditions', 'are', 'satisfied', 'the', 'piecewise', 'nature', 'of', 'the', 'process', 'suggests', 'that', 'robust', 'and', 'selective', 'population', 'transfer', 'could', 'be', 'implemented', 'in', 'a', 'variety', 'of', 'complex', 'quantum', 'systems', 'beyond', 'the', 'twolevel', 'approximation']] | [-0.10399682626915004, 0.1981630045271294, -0.07419327962822442, 0.04820253893039049, 0.027164592781778553, -0.14330250154217256, 0.06934651264535456, 0.4706241457883654, -0.29811620520877424, -0.28689448081984603, 0.02419247684582811, -0.19762445598648026, -0.08991445515546667, 0.20661764520637949, -0.011995839337208148, 0.09430818636741103, 0.06821791404047339, -0.018376557235124297, -0.019833481934218637, -0.168579641263932, 0.30584178677406804, 0.04729839032837029, 0.29934350236736496, 0.01843517696131663, 0.12811750896788876, 0.004165878776332428, 0.07979246739555022, -0.09921884045711366, -0.05627015158102511, 0.07109991201994427, 0.23551819885856118, 0.06189894127691614, 0.2596323731772858, -0.45601315055170966, -0.2572053754637981, 0.0706064049539895, 0.1347055685363212, 0.1875690820723258, -0.032694584921259304, -0.30005279384424977, 0.0026052374071602164, -0.17279676777021638, -0.12511767904145707, -0.0958655067767691, 0.017200086805327187, 0.05401389192918251, -0.29259352126672605, 0.04362510456141598, 0.0548891448030441, 0.015340217532076199, -0.04743187407288572, -0.0033372793370729376, -0.024047064959424838, 0.08304524812205084, -0.0451484997154631, 0.025837890534051534, 0.17200967366967734, -0.09554270984733414, -0.12337771691173688, 0.3774775838784488, -0.13363043982053882, -0.117849668147492, 0.1586133159311681, -0.12683171032745277, -0.02174049097370228, 0.16644062460881884, 0.12580874505340411, 0.14475491804167115, -0.13148228288788733, 0.011670527923531059, 0.04079913095538986, 0.21692812854809493, 0.09370979819254115, 0.049069769179512716, 0.1793449354502533, 0.1663910127983525, 0.034437600600308385, 0.1824650661497987, -0.10559762625087951, -0.12679667131140315, -0.2393550384661247, -0.10351411845727727, -0.21850182274195912, 0.07998457149570358, -0.010499333586656199, -0.1363739195767517, 0.43174232547653135, 0.12630886489059776, 0.1857825184240937, 0.0076195962132950285, 0.3105185463896086, 0.18893064076626867, -0.0022351492742269203, 0.04157716326479768, 0.27612078391529365, 0.1632177900442661, 0.0338246191755451, -0.3091648917211669, 0.06522932854834301, -0.010426562934600073] |
710.3146 | Cuspidal representations which are not strongly cuspidal | We give a description of all the cuspidal representations of
$\mathrm{GL}_4(\mathfrak{o}_2)$, where $\mathfrak{o}_2$ is a finite ring coming
from the ring of integers in a local field, modulo the square of its maximal
ideal $\mathfrak{p}$. This shows in particular the existence of representations
which are cuspidal, yet are not strongly cuspidal, that is, do not have orbit
with irreducible characteristic polynomial mod $\mathfrak{p}$. It has been
shown by Aubert, Onn, and Prasad that this phenomenon cannot occur for
$\mathrm{GL}_n$, when $n$ is prime.
| math.RT | we give a description of all the cuspidal representations of mathrmgl_4mathfrako_2 where mathfrako_2 is a finite ring coming from the ring of integers in a local field modulo the square of its maximal ideal mathfrakp this shows in particular the existence of representations which are cuspidal yet are not strongly cuspidal that is do not have orbit with irreducible characteristic polynomial mod mathfrakp it has been shown by aubert onn and prasad that this phenomenon cannot occur for mathrmgl_n when n is prime | [['we', 'give', 'a', 'description', 'of', 'all', 'the', 'cuspidal', 'representations', 'of', 'mathrmgl_4mathfrako_2', 'where', 'mathfrako_2', 'is', 'a', 'finite', 'ring', 'coming', 'from', 'the', 'ring', 'of', 'integers', 'in', 'a', 'local', 'field', 'modulo', 'the', 'square', 'of', 'its', 'maximal', 'ideal', 'mathfrakp', 'this', 'shows', 'in', 'particular', 'the', 'existence', 'of', 'representations', 'which', 'are', 'cuspidal', 'yet', 'are', 'not', 'strongly', 'cuspidal', 'that', 'is', 'do', 'not', 'have', 'orbit', 'with', 'irreducible', 'characteristic', 'polynomial', 'mod', 'mathfrakp', 'it', 'has', 'been', 'shown', 'by', 'aubert', 'onn', 'and', 'prasad', 'that', 'this', 'phenomenon', 'can', 'not', 'occur', 'for', 'mathrmgl_n', 'when', 'n', 'is', 'prime']] | [-0.23869893619671417, 0.10527122909027128, -0.17720323776053945, -0.014398087024768224, -0.08730291529763036, -0.16098380649871216, -0.10678173128583628, 0.32412912317824255, -0.3224125847549791, -0.19871436090708325, 0.07523829340310086, -0.23166298384710057, -0.15910338183365216, 0.21888603401943904, -0.10205692243648738, -0.020682877489712044, 0.029348128963625285, 0.1738244979074452, -0.043775449376326145, -0.328316072092914, 0.34381686814311074, -0.03512283568604134, 0.1831604966172585, 0.0503274602559963, 0.059967172218532094, -0.004455576906344149, 0.0414580464811723, -0.021904891152389167, -0.10492782341972953, 0.0845108953213728, 0.35387431255473595, 0.08031222576036959, 0.22282720722326235, -0.37846319046916393, -0.11577699369205753, 0.29184664238426017, 0.20176878802637319, 0.01905027055039593, 0.0016001028139371334, -0.22915486043046523, 0.187867021074564, -0.19262039163944925, -0.1164110448813384, -0.10098644825289162, 0.12093841565755854, 0.031409959263372714, -0.2635948247015022, 0.017030005602175994, 0.16877819456886956, 0.1910514316021851, -0.040390151168117526, -0.12595057662394715, -0.022754619693065564, 0.057822037294078275, -0.006175361320989706, 0.037694077677570464, 0.048008845023038545, -0.13258833844191964, -0.07696983539612919, 0.3886050455465277, -0.030214582836800594, -0.19521298889044486, 0.1462795288336077, -0.24885811238186206, -0.12530505796326552, 0.1776678615601779, 0.04948861025296515, 0.09993548527155525, -0.039368890326153545, 0.22290573483432372, -0.21697855612444805, 0.09770852725714355, 0.07771654888169795, -0.00957059677372255, 0.19547094057155093, 0.0405952919206423, 0.06272110691160622, 0.095263537610086, -0.02700712940678364, 0.03889096405061825, -0.34281974706071905, -0.15597836282558558, -0.17387933643937975, 0.13111603573279132, -0.02603931894519497, -0.1406038877246873, 0.40736326550292534, 0.08084668669418045, 0.18590293861016993, 0.09489350276573266, 0.20285004787374197, 0.09800840413379597, 0.09682181917653396, 0.10650863584199148, 0.1646903218110887, 0.15234264346668724, -0.057186596356786606, -0.15451073762676792, 0.02622473550528833, 0.14656865338386013] |
710.3147 | Local acyclic fibrations and the de Rham complex | We reinterpret algebraic de Rham cohomology for a possibly singular complex
variety X as sheaf cohomology in the site of smooth schemes over X with
Voevodsky's h-topology. Our results extend to the algebraic de Rham complex as
well. Our main technique is to extend Cech cohomology of hypercovers to
arbitrary local acyclic fibrations of simplicial presheaves.
| math.AG math.AT | we reinterpret algebraic de rham cohomology for a possibly singular complex variety x as sheaf cohomology in the site of smooth schemes over x with voevodskys htopology our results extend to the algebraic de rham complex as well our main technique is to extend cech cohomology of hypercovers to arbitrary local acyclic fibrations of simplicial presheaves | [['we', 'reinterpret', 'algebraic', 'de', 'rham', 'cohomology', 'for', 'a', 'possibly', 'singular', 'complex', 'variety', 'x', 'as', 'sheaf', 'cohomology', 'in', 'the', 'site', 'of', 'smooth', 'schemes', 'over', 'x', 'with', 'voevodskys', 'htopology', 'our', 'results', 'extend', 'to', 'the', 'algebraic', 'de', 'rham', 'complex', 'as', 'well', 'our', 'main', 'technique', 'is', 'to', 'extend', 'cech', 'cohomology', 'of', 'hypercovers', 'to', 'arbitrary', 'local', 'acyclic', 'fibrations', 'of', 'simplicial', 'presheaves']] | [-0.22022348797015315, -0.04501727975938203, -0.13782318831155344, 0.11562652923540943, -0.1744903720183564, -0.12048888870880806, -0.08100483770249411, 0.29713795613497496, -0.3975589168923242, -0.204835813459275, 0.055575891396854, -0.128002733424572, -0.15640342829283327, 0.17826091416645795, -0.30246511296302614, -0.04805822750287397, -0.009392274955254314, 0.06231219027124878, -0.04177424246777913, -0.32476534185531947, 0.5210907425997513, -0.03789314995187202, 0.21121054172648915, 0.03916772301974041, 0.12959353875235788, 0.032464068046205545, -0.013364139062884663, -0.05603067232628486, -0.13992102390953473, 0.17149546680905456, 0.49134535344949526, 0.015050866882250245, 0.09543556891315218, -0.37734991268787, -0.1471088556614372, 0.22337958480264725, 0.09242993323797626, 0.04480333804219429, 0.07643100573997279, -0.33794820880783455, 0.14929828701341258, -0.1937825005401724, -0.1812186836032197, -0.13250759678027993, 0.027341295233262435, 0.0782753077801317, -0.19081431667187385, -0.0662155641642, 0.03397658525708331, 0.15870300425948308, -0.09805061770436753, -0.08596881864442756, -0.15599868614143425, 0.01727581335996677, -0.09386845071484069, 0.11828472204173782, 0.17387975419738463, -0.01860953479938741, -0.19016540220140346, 0.3389749617157837, -0.11313022415353251, -0.2064319220080506, 0.13534284853709064, -0.1444978131829495, -0.25721364120753215, 0.17571120900434575, -0.01934886532503047, 0.25983353009048316, 0.13357988450609679, 0.2658578649529123, -0.07622830032570553, 0.02262836179163839, 0.10885131114628166, -0.008446616153897983, 0.07670286356005818, 0.12290618811467928, 0.09821735330790814, 0.06186948675479341, 0.04921927543390276, -0.12450816379194814, -0.3382165998752628, -0.245125968042495, -0.06647995235731027, 0.19947374711877533, -0.17018521338468418, -0.22825592144259385, 0.3611449937036793, 0.0845151106893484, 0.2333785139677015, 0.19500076912767586, 0.28788151206182583, -0.08081609219412453, 0.01580960689378636, -0.0638644816769686, 0.012225723559302943, 0.3102112655927028, 0.058198393678009906, -0.04816853938973509, -0.05527670377965218, 0.2919589070370421] |
710.3148 | Warm inflation on the brane | In this paper, warm inflationary models on a brane scenario are studied. Here
we consider slow-roll inflation and high-dissipation regime in a high-energy
scenario. General conditions required for these models to be realizable are
derived. We describe scalar and tensor perturbations for these scenarios.
Specifically we study power-law potentials considering a dissipation parameter
to be a constant on the one hand and $\phi$ dependent on the other hand. We use
recent astronomical observations to restrict the parameters appearing in our
model.
| astro-ph gr-qc hep-th | in this paper warm inflationary models on a brane scenario are studied here we consider slowroll inflation and highdissipation regime in a highenergy scenario general conditions required for these models to be realizable are derived we describe scalar and tensor perturbations for these scenarios specifically we study powerlaw potentials considering a dissipation parameter to be a constant on the one hand and phi dependent on the other hand we use recent astronomical observations to restrict the parameters appearing in our model | [['in', 'this', 'paper', 'warm', 'inflationary', 'models', 'on', 'a', 'brane', 'scenario', 'are', 'studied', 'here', 'we', 'consider', 'slowroll', 'inflation', 'and', 'highdissipation', 'regime', 'in', 'a', 'highenergy', 'scenario', 'general', 'conditions', 'required', 'for', 'these', 'models', 'to', 'be', 'realizable', 'are', 'derived', 'we', 'describe', 'scalar', 'and', 'tensor', 'perturbations', 'for', 'these', 'scenarios', 'specifically', 'we', 'study', 'powerlaw', 'potentials', 'considering', 'a', 'dissipation', 'parameter', 'to', 'be', 'a', 'constant', 'on', 'the', 'one', 'hand', 'and', 'phi', 'dependent', 'on', 'the', 'other', 'hand', 'we', 'use', 'recent', 'astronomical', 'observations', 'to', 'restrict', 'the', 'parameters', 'appearing', 'in', 'our', 'model']] | [-0.14075460750609636, 0.15823016037451632, -0.07472978308107014, 0.1077312735343398, -0.10347570633561706, -0.19781508221992372, -0.014477748548853453, 0.36675828146851724, -0.20366397742641928, -0.2614598000008199, 0.11321456294742493, -0.22184779812340383, -0.1587862711008868, 0.2013965641424336, -0.04045792750117404, 0.028013138882355924, 0.034707301447202486, 0.0057853323028043465, -0.013968916112603045, -0.2532418424545293, 0.36873362175430413, 0.053106269856661927, 0.18519773524553504, 0.029728741241320047, 0.043298911929912406, -0.07570298985911557, -0.005221725453013255, 0.014679563162779366, -0.22264887425864552, 0.08908943184593945, 0.17628352978023526, 0.09463723141838003, 0.17655016313002295, -0.4547086371867745, -0.29538624323214646, 0.1721520272003096, 0.09770476453604153, 0.14253582511626092, -0.015329342943409251, -0.23918234930017296, 0.05236999409123795, -0.1880114776323791, -0.10508576101037087, -0.07589844140557596, -0.011135496911995205, -0.02508685954294547, -0.3295808041146324, 0.08722036667340607, -0.011936268838191474, -0.010000006755652987, -0.10480528681130827, -0.053248121795520464, 0.049289001453736866, 0.02415256957555144, 0.09299488697074537, -0.01965101551908402, 0.13244631562244008, -0.1600255688543167, -0.060363032248584025, 0.39532959392225303, -0.13244433822915141, -0.19828027362624803, 0.19100839105135772, -0.12666274470357616, -0.22720440473683454, -0.021916991737843665, 0.19842544848237326, 0.16426687601976742, -0.11585081699821684, 0.1537339859678019, 0.004149225977375919, 0.13982549001014344, 0.06448912890455513, 0.030945759540406504, 0.23609335967167108, 0.1324758961405835, -0.003913858347072231, 0.13627973415983702, -0.05002153580605892, -0.1253175621300384, -0.36662490757895105, -0.07833117056339059, -0.1452563004234064, 0.01584087735340919, -0.09781383526929005, -0.13372575902138595, 0.4228954570666875, 0.19657384371959868, 0.23414524993643648, 0.041944557392716776, 0.2976923313014853, 0.12039363936860298, 0.014251728205838136, 0.0536460952522854, 0.3030427420557833, 0.07230927836563852, 0.11112482868203963, -0.15249121279375236, -0.003479449502422394, 0.0028926457197945795] |
710.3149 | Advances towards pB11 Fusion with the Dense Plasma Focus | The prospects for achieving net energy production with pB11 fuel have
recently considerably brightened. Studies have shown that the multi-GG field
potentially obtainable with modest dense plasma focus devices have the effect
of reducing the flow of energy from the ions to the electrons and thus
suppressing bremsstrahlung radiation that cools the plasma. We report here on
new simulations that indicate that net energy production may be achievable in
high-magnetic-field devices at peak currents as low as 2.3 MA. While these
simulations only model the dense plasmoid formed in the focus, new simulation
techniques can allow a full particle-in-cell simulation of DPF functioning over
the wide range of time and space scales needed. Such simulations will be of
great value in the next round of experiments that will use pB11 fuel.
| physics.plasm-ph | the prospects for achieving net energy production with pb11 fuel have recently considerably brightened studies have shown that the multigg field potentially obtainable with modest dense plasma focus devices have the effect of reducing the flow of energy from the ions to the electrons and thus suppressing bremsstrahlung radiation that cools the plasma we report here on new simulations that indicate that net energy production may be achievable in highmagneticfield devices at peak currents as low as 23 ma while these simulations only model the dense plasmoid formed in the focus new simulation techniques can allow a full particleincell simulation of dpf functioning over the wide range of time and space scales needed such simulations will be of great value in the next round of experiments that will use pb11 fuel | [['the', 'prospects', 'for', 'achieving', 'net', 'energy', 'production', 'with', 'pb11', 'fuel', 'have', 'recently', 'considerably', 'brightened', 'studies', 'have', 'shown', 'that', 'the', 'multigg', 'field', 'potentially', 'obtainable', 'with', 'modest', 'dense', 'plasma', 'focus', 'devices', 'have', 'the', 'effect', 'of', 'reducing', 'the', 'flow', 'of', 'energy', 'from', 'the', 'ions', 'to', 'the', 'electrons', 'and', 'thus', 'suppressing', 'bremsstrahlung', 'radiation', 'that', 'cools', 'the', 'plasma', 'we', 'report', 'here', 'on', 'new', 'simulations', 'that', 'indicate', 'that', 'net', 'energy', 'production', 'may', 'be', 'achievable', 'in', 'highmagneticfield', 'devices', 'at', 'peak', 'currents', 'as', 'low', 'as', '23', 'ma', 'while', 'these', 'simulations', 'only', 'model', 'the', 'dense', 'plasmoid', 'formed', 'in', 'the', 'focus', 'new', 'simulation', 'techniques', 'can', 'allow', 'a', 'full', 'particleincell', 'simulation', 'of', 'dpf', 'functioning', 'over', 'the', 'wide', 'range', 'of', 'time', 'and', 'space', 'scales', 'needed', 'such', 'simulations', 'will', 'be', 'of', 'great', 'value', 'in', 'the', 'next', 'round', 'of', 'experiments', 'that', 'will', 'use', 'pb11', 'fuel']] | [-0.09447819800971047, 0.19251456700249037, -0.039267160049348604, 0.014701622447319096, -0.012309131388974492, -0.0856461905677861, 0.031588050596838, 0.3955417714532814, -0.2329119101214019, -0.3372070239856839, 0.0937856575301339, -0.25925104649650166, -0.05025253218082071, 0.26913071376293374, 0.018537367121098214, 0.021957959899737034, 0.11751923363772221, -0.024563045676586626, -0.051224675900812144, -0.2161165731959045, 0.25714560515916673, 0.17946774057054427, 0.28220415627220063, 0.1207029736633558, 0.0815121292071126, -0.06096217768390488, -0.012545807970127498, 0.03408884362193021, -0.11445561656074688, 0.04639646723080659, 0.21287233458497212, 0.09346675607230281, 0.27075755622354336, -0.5182807870228316, -0.29030755586518353, 0.09715127649178612, 0.17152442873816653, 0.07586347610595112, -0.1259781759845282, -0.1970620751817478, 0.09223805043802713, -0.21826677973149344, -0.10237350612055707, -0.05842004447913496, 0.000562566184271418, 0.07222570705516773, -0.25422394759516465, 0.059827081591720344, 0.0016165074575837934, -0.009614371618226869, -0.050849048671125274, -0.11391784359875601, -0.049921837031433824, 0.09585901406444464, 0.0325625728646628, 0.048338568408325955, 0.1898829041178942, -0.1697901729348814, -0.11878184517809132, 0.3739929654984735, -0.04534139207135013, -0.11495533469133079, 0.2059136894868061, -0.21135277352732373, -0.11444874827066087, 0.18862118713150267, 0.20676880389510188, 0.10925626930838916, -0.1096620399848689, 0.026811802010570318, -0.027357539191143587, 0.14290255503874505, 0.052198371520717046, 0.05396196736182901, 0.2516474248986924, 0.2211584110300464, 0.032349114404496504, 0.11170134804524423, -0.13854790484219848, -0.06614313918726111, -0.26234287898114417, -0.14781007106648758, -0.13699812800950895, 0.042586426287016366, -0.052521814400961375, -0.08027720014501938, 0.3652639214451483, 0.2021505943507691, 0.1365309407992754, 0.001690013903498766, 0.32869238380226307, 0.10865078059032385, 0.10706184139780817, 0.09371472511338652, 0.2970274330191387, 0.09610492741194321, 0.13703295884170075, -0.21833093290570105, 0.03961481185615412, -0.03369813150857226] |
710.315 | Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and
Supermassive Stars | We prove general nonlinear stability and existence theorems for rotating star
solutions which are axi-symmetric steady-state solutions of the compressible
isentropic Euler-Poisson equations in 3 spatial dimensions. We apply our
results to rotating and non-rotating white dwarf, and rotating high density
supermassive (extreme relativistic) stars, stars which are in convective
equilibrium and have uniform chemical composition. This paper is a continuation
of our earlier work ([28]).
| gr-qc math-ph math.MP | we prove general nonlinear stability and existence theorems for rotating star solutions which are axisymmetric steadystate solutions of the compressible isentropic eulerpoisson equations in 3 spatial dimensions we apply our results to rotating and nonrotating white dwarf and rotating high density supermassive extreme relativistic stars stars which are in convective equilibrium and have uniform chemical composition this paper is a continuation of our earlier work 28 | [['we', 'prove', 'general', 'nonlinear', 'stability', 'and', 'existence', 'theorems', 'for', 'rotating', 'star', 'solutions', 'which', 'are', 'axisymmetric', 'steadystate', 'solutions', 'of', 'the', 'compressible', 'isentropic', 'eulerpoisson', 'equations', 'in', '3', 'spatial', 'dimensions', 'we', 'apply', 'our', 'results', 'to', 'rotating', 'and', 'nonrotating', 'white', 'dwarf', 'and', 'rotating', 'high', 'density', 'supermassive', 'extreme', 'relativistic', 'stars', 'stars', 'which', 'are', 'in', 'convective', 'equilibrium', 'and', 'have', 'uniform', 'chemical', 'composition', 'this', 'paper', 'is', 'a', 'continuation', 'of', 'our', 'earlier', 'work', '28']] | [-0.1178990502728883, 0.13062518291796246, -0.08965371529374158, 0.07374067075733999, -0.10512652369498303, -0.0824257351641515, -0.012202808081355848, 0.29491014482284134, -0.11574190587623778, -0.2811579344279105, 0.09616198947751951, -0.2732488659041172, -0.055569795623534556, 0.15482631406154146, -0.07888921213364511, 0.09737193720348207, 0.09299923555756157, -0.06722634770487661, -0.09709816512115525, -0.2384014644547168, 0.37708071099989343, -0.01882299700413238, 0.17457784108366026, -0.081747687449961, 0.03569664173957073, -0.14167350457953007, -0.0013112448169990923, 0.01287879497447813, -0.23450938641855662, 0.01028944531483858, 0.2537381122396751, 0.06928383322806578, 0.2333609749647704, -0.4358766016014146, -0.27489608543162997, 0.0391855818205372, 0.19517980249259959, 0.147663538256011, -0.1428628085960747, -0.2292060313506447, 0.13291494822073163, -0.1896003846671771, -0.26485106862629904, -0.0754643909520272, 0.062228536402637306, 0.13798470823376469, -0.28449669370258396, 0.16130179847294296, 0.18510996788796602, 0.05491691692308946, -0.23132740232077512, -0.05041899718167825, -0.035636499538227465, 0.051412011574332915, 0.06081329052562289, 0.03206763919936775, 0.11611551173369992, -0.09828147811067263, -0.0021713952618566427, 0.367347356405596, -0.13322272668169302, -0.20375894749657053, 0.26545704528689384, -0.2127522139414919, -0.1420375209612151, 0.09532878928902475, 0.19334928958789643, 0.24607282952461956, -0.16528482753501245, 0.043554742323150014, -0.08789672690027421, 0.11670130669760208, 0.16034453533321733, -0.023050218301112622, 0.2878517389128154, 0.15982644717124375, 0.03178599193536987, 0.10366375474470922, -0.1200158460997045, -0.14888431661705853, -0.24982118081640114, -0.12515109977826025, -0.07113040055882072, 0.12691971426829696, -0.15117451923662995, -0.17983921337872744, 0.3387563966891982, 0.11451190499814623, 0.07319870276489493, 0.05657641440418295, 0.28609948467011703, 0.12109445253118986, -0.07706636865623295, 0.21366516394173782, 0.33818558724879316, 0.24999123416615254, 0.17717705737926404, -0.23408412488149197, -0.0512292441474556, 0.1170763768798982] |
710.3151 | New Higgs physics from the lattice | We report the first results from our comprehensive lattice tool set to
explore non-perturbative aspects of Higgs physics in the Standard Model. We
demonstrate in Higgs-Yukawa models that Higgs mass lower bounds and upper
bounds can be determined in lattice simulations when triviality requires the
necessity of a finite cutoff to maintain non-zero interactions. The vacuum
instability problem is investigated and the lattice approach is compared with
the traditional renormalization group procedure which sets similar goals to
correlate lower and upper Higgs mass bounds with the scale of new physics. A
novel feature of our lattice simulations is the use of Ginsparg-Wilson fermions
to represent the effects of Top quark loops in Higgs dynamics. The need for
chiral lattice fermions is discussed and the approach is extended to full
Top-Higgs-QCD dynamics. We also report results from our large $N_F$ analysis of
Top-Higgs Yukawa models to gain analytic insight and to verify our new lattice
tool set which is deployed in the simulations. The role of non-perturbative
lattice studies to investigate heavy Higgs particle scenarios is illustrated in
extensions of the Standard Model.
| hep-lat hep-ph | we report the first results from our comprehensive lattice tool set to explore nonperturbative aspects of higgs physics in the standard model we demonstrate in higgsyukawa models that higgs mass lower bounds and upper bounds can be determined in lattice simulations when triviality requires the necessity of a finite cutoff to maintain nonzero interactions the vacuum instability problem is investigated and the lattice approach is compared with the traditional renormalization group procedure which sets similar goals to correlate lower and upper higgs mass bounds with the scale of new physics a novel feature of our lattice simulations is the use of ginspargwilson fermions to represent the effects of top quark loops in higgs dynamics the need for chiral lattice fermions is discussed and the approach is extended to full tophiggsqcd dynamics we also report results from our large n_f analysis of tophiggs yukawa models to gain analytic insight and to verify our new lattice tool set which is deployed in the simulations the role of nonperturbative lattice studies to investigate heavy higgs particle scenarios is illustrated in extensions of the standard model | [['we', 'report', 'the', 'first', 'results', 'from', 'our', 'comprehensive', 'lattice', 'tool', 'set', 'to', 'explore', 'nonperturbative', 'aspects', 'of', 'higgs', 'physics', 'in', 'the', 'standard', 'model', 'we', 'demonstrate', 'in', 'higgsyukawa', 'models', 'that', 'higgs', 'mass', 'lower', 'bounds', 'and', 'upper', 'bounds', 'can', 'be', 'determined', 'in', 'lattice', 'simulations', 'when', 'triviality', 'requires', 'the', 'necessity', 'of', 'a', 'finite', 'cutoff', 'to', 'maintain', 'nonzero', 'interactions', 'the', 'vacuum', 'instability', 'problem', 'is', 'investigated', 'and', 'the', 'lattice', 'approach', 'is', 'compared', 'with', 'the', 'traditional', 'renormalization', 'group', 'procedure', 'which', 'sets', 'similar', 'goals', 'to', 'correlate', 'lower', 'and', 'upper', 'higgs', 'mass', 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710.3152 | On cluster algebras with coefficients and 2-Calabi-Yau categories | Building on work by Geiss-Leclerc-Schroer and by Buan-Iyama-Reiten-Scott we
investigate the link between certain cluster algebras with coefficients and
suitable 2-Calabi-Yau categories. These include the cluster-categories
associated with acyclic quivers and certain Frobenius subcategories of module
categories over preprojective algebras. Our motivation comes from the
conjectures formulated by Fomin and Zelevinsky in `Cluster algebras IV:
Coefficients'. We provide new evidence for Conjectures 5.4, 6.10, 7.2, 7.10 and
7.12 and show by an example that the statement of Conjecture 7.17 does not
always hold.
| math.RT math.RA | building on work by geissleclercschroer and by buaniyamareitenscott we investigate the link between certain cluster algebras with coefficients and suitable 2calabiyau categories these include the clustercategories associated with acyclic quivers and certain frobenius subcategories of module categories over preprojective algebras our motivation comes from the conjectures formulated by fomin and zelevinsky in cluster algebras iv coefficients we provide new evidence for conjectures 54 610 72 710 and 712 and show by an example that the statement of conjecture 717 does not always hold | [['building', 'on', 'work', 'by', 'geissleclercschroer', 'and', 'by', 'buaniyamareitenscott', 'we', 'investigate', 'the', 'link', 'between', 'certain', 'cluster', 'algebras', 'with', 'coefficients', 'and', 'suitable', '2calabiyau', 'categories', 'these', 'include', 'the', 'clustercategories', 'associated', 'with', 'acyclic', 'quivers', 'and', 'certain', 'frobenius', 'subcategories', 'of', 'module', 'categories', 'over', 'preprojective', 'algebras', 'our', 'motivation', 'comes', 'from', 'the', 'conjectures', 'formulated', 'by', 'fomin', 'and', 'zelevinsky', 'in', 'cluster', 'algebras', 'iv', 'coefficients', 'we', 'provide', 'new', 'evidence', 'for', 'conjectures', '54', '610', '72', '710', 'and', '712', 'and', 'show', 'by', 'an', 'example', 'that', 'the', 'statement', 'of', 'conjecture', '717', 'does', 'not', 'always', 'hold']] | [-0.11209337070311715, 0.0328442289612168, -0.03693596353163806, 0.06729581765830517, -0.08513390397789275, -0.17892926428239883, 0.01754378156577487, 0.37225865095672084, -0.32833800300751337, -0.3045342580824182, 0.11146469034180727, -0.18412831149393374, -0.1586428617649689, 0.19289625358268073, -0.1917270337708476, -0.07537534715261356, 0.12627798023565515, 0.04264201923229493, -0.044141388563552826, -0.3595407792003598, 0.4266512471410196, 0.01974926164612265, 0.23233808899616323, 0.09574045960098596, 0.08648272982525934, 0.0664809049425147, -0.08375978574338483, -0.021456327789076943, -0.18171374795281559, 0.12111674493928326, 0.3108722840594809, 0.09286770795858125, 0.20870371970416204, -0.3527836112969941, -0.055907522968482226, 0.10178010985299163, 0.12890306939179272, 0.03827656753270364, -0.0301592968767736, -0.30622062427786795, 0.12445148974429907, -0.2539403443792608, -0.11480005984989608, -0.029963914980748442, 0.07949560492231351, 0.03494931050439978, -0.21760474527595428, 0.0723976287138989, 0.10675430716946721, 0.15813352608280937, -0.1756024280386954, -0.1557493903958125, -0.044558240874477364, 0.07018479420349183, -0.07639943162638058, 0.004734748102747268, 0.09210845752102437, -0.12382648317938352, -0.21976494725521017, 0.32021092724554784, -0.00031475179896848956, -0.13283817688139474, 0.19009267467020147, -0.13707377298212634, -0.20788946125951663, 0.0888635221437165, -0.023170253897948963, 0.07969977173999679, -0.060091023583237715, 0.12010773458296614, -0.156978814737735, 0.05543016960912543, 0.1450921709808271, -0.015389111170562257, 0.17840394627007589, 0.02454287613310465, -0.02897502240020691, 0.1383340486790985, 0.0032255361786555133, -0.00890244663658938, -0.3050692094399071, -0.16411225719195677, -0.03790623944525311, 0.09993300243673375, -0.11413678982779213, -0.10504397509971679, 0.34222398627912853, 0.1155665050056286, 0.20096295056069588, 0.1766855995307063, 0.12310389056801796, 0.03548967042829978, 0.13343566009865665, 0.06258489766794188, 0.14280964711272134, 0.3233781562118632, 0.0013919333776845255, -0.10407324351949572, -0.019305609689071412, 0.17242890706558417] |
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