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710.0553 | Zooming in on light relic neutralinos by direct detection and
measurements of galactic antimatter | The DAMA Collaboration has recently analyzed its data of the extensive WIMP
direct search (DAMA/NaI) which detected an annual modulation, by taking into
account the channelling effect which occurs when an ion traverses a detector
with a crystalline structure. Among possible implications, this Collaboration
has considered the case of a coherent WIMP-nucleus interaction and then derived
the form of the annual modulation region in the plane of the WIMP-nucleon cross
section versus the WIMP mass, using a specific modelling for the channelling
effect. In the present paper we first show that light neutralinos fit the
annual modulation region also when channelling is taken into account. To
discuss the connection with indirect signals consisting in galactic antimatter,
in our analysis we pick up a specific galactic model, the cored
isothermal-sphere. In this scheme we determine the sets of supersymmetric
models selected by the annual modulation regions and then prove that these sets
are compatible with the available data on galactic antiprotons. We comment on
implications when other galactic distribution functions are employed. Finally,
we show that future measurements on galactic antiprotons and antideuterons will
be able to shed further light on the populations of light neutralinos singled
out by the annual modulation data.
| hep-ph astro-ph hep-ex | the dama collaboration has recently analyzed its data of the extensive wimp direct search damanai which detected an annual modulation by taking into account the channelling effect which occurs when an ion traverses a detector with a crystalline structure among possible implications this collaboration has considered the case of a coherent wimpnucleus interaction and then derived the form of the annual modulation region in the plane of the wimpnucleon cross section versus the wimp mass using a specific modelling for the channelling effect in the present paper we first show that light neutralinos fit the annual modulation region also when channelling is taken into account to discuss the connection with indirect signals consisting in galactic antimatter in our analysis we pick up a specific galactic model the cored isothermalsphere in this scheme we determine the sets of supersymmetric models selected by the annual modulation regions and then prove that these sets are compatible with the available data on galactic antiprotons we comment on implications when other galactic distribution functions are employed finally we show that future measurements on galactic antiprotons and antideuterons will be able to shed further light on the populations of light neutralinos singled out by the annual modulation data | [['the', 'dama', 'collaboration', 'has', 'recently', 'analyzed', 'its', 'data', 'of', 'the', 'extensive', 'wimp', 'direct', 'search', 'damanai', 'which', 'detected', 'an', 'annual', 'modulation', 'by', 'taking', 'into', 'account', 'the', 'channelling', 'effect', 'which', 'occurs', 'when', 'an', 'ion', 'traverses', 'a', 'detector', 'with', 'a', 'crystalline', 'structure', 'among', 'possible', 'implications', 'this', 'collaboration', 'has', 'considered', 'the', 'case', 'of', 'a', 'coherent', 'wimpnucleus', 'interaction', 'and', 'then', 'derived', 'the', 'form', 'of', 'the', 'annual', 'modulation', 'region', 'in', 'the', 'plane', 'of', 'the', 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710.0554 | CP Violation and Neutrino Oscillations | We review the basic mechanisms of neutrino mass generation and the
corresponding structure of the lepton mixing matrix. We summarize the status of
three-neutrino oscillation parameters as determined from current observations,
using state-of-the-art solar and atmospheric neutrino fluxes, as well as latest
experimental data as of September 2007. We also comment on recent attempts to
account for these results and to understand flavour from first principles. We
discuss extensively the prospects for probing the strength of CP violation in
two near term accelerator neutrino oscillation experiments, T2K and NOvA, as
well as possible extensions such as T2KK and a second large off-axis detector
near the NOvA detector. We also briefly discuss the possibility of probing the
effect of Majorana phases in future neutrinoless double beta decay searches and
discuss other implications of leptonic CP violation such as leptogenesis.
Finally we comment on the issue of robustness of the current oscillation
interpretation and possible ways of probing for non-standard neutrino
interactions in precision oscillation studies.
| hep-ph | we review the basic mechanisms of neutrino mass generation and the corresponding structure of the lepton mixing matrix we summarize the status of threeneutrino oscillation parameters as determined from current observations using stateoftheart solar and atmospheric neutrino fluxes as well as latest experimental data as of september 2007 we also comment on recent attempts to account for these results and to understand flavour from first principles we discuss extensively the prospects for probing the strength of cp violation in two near term accelerator neutrino oscillation experiments t2k and nova as well as possible extensions such as t2kk and a second large offaxis detector near the nova detector we also briefly discuss the possibility of probing the effect of majorana phases in future neutrinoless double beta decay searches and discuss other implications of leptonic cp violation such as leptogenesis finally we comment on the issue of robustness of the current oscillation interpretation and possible ways of probing for nonstandard neutrino interactions in precision oscillation studies | [['we', 'review', 'the', 'basic', 'mechanisms', 'of', 'neutrino', 'mass', 'generation', 'and', 'the', 'corresponding', 'structure', 'of', 'the', 'lepton', 'mixing', 'matrix', 'we', 'summarize', 'the', 'status', 'of', 'threeneutrino', 'oscillation', 'parameters', 'as', 'determined', 'from', 'current', 'observations', 'using', 'stateoftheart', 'solar', 'and', 'atmospheric', 'neutrino', 'fluxes', 'as', 'well', 'as', 'latest', 'experimental', 'data', 'as', 'of', 'september', '2007', 'we', 'also', 'comment', 'on', 'recent', 'attempts', 'to', 'account', 'for', 'these', 'results', 'and', 'to', 'understand', 'flavour', 'from', 'first', 'principles', 'we', 'discuss', 'extensively', 'the', 'prospects', 'for', 'probing', 'the', 'strength', 'of', 'cp', 'violation', 'in', 'two', 'near', 'term', 'accelerator', 'neutrino', 'oscillation', 'experiments', 't2k', 'and', 'nova', 'as', 'well', 'as', 'possible', 'extensions', 'such', 'as', 't2kk', 'and', 'a', 'second', 'large', 'offaxis', 'detector', 'near', 'the', 'nova', 'detector', 'we', 'also', 'briefly', 'discuss', 'the', 'possibility', 'of', 'probing', 'the', 'effect', 'of', 'majorana', 'phases', 'in', 'future', 'neutrinoless', 'double', 'beta', 'decay', 'searches', 'and', 'discuss', 'other', 'implications', 'of', 'leptonic', 'cp', 'violation', 'such', 'as', 'leptogenesis', 'finally', 'we', 'comment', 'on', 'the', 'issue', 'of', 'robustness', 'of', 'the', 'current', 'oscillation', 'interpretation', 'and', 'possible', 'ways', 'of', 'probing', 'for', 'nonstandard', 'neutrino', 'interactions', 'in', 'precision', 'oscillation', 'studies']] | [-0.06687284435043339, 0.20795349749415637, 0.03095815351577873, 0.15574622194129384, -0.09336362225173904, -0.12810229017433325, 0.0935944572443188, 0.3015866523052043, -0.23634001580223146, -0.3323192755434742, 0.13105577411252164, -0.2971170264148585, -0.12008257475170511, 0.22365697809756258, 0.03884162614547943, 0.07823724362419963, 0.0719248679006563, -0.03183815121173677, -0.13322559205272871, -0.19799999828399273, 0.2811605726161449, 0.13930673022163895, 0.2307425683134281, 0.10608475132300178, 0.05081618581855919, -0.038620469357716146, -0.11846651747345743, -0.07684404019936465, -0.14689539830046336, -0.003856968797641102, 0.20091099020167505, 0.1880159027897185, 0.07870699638620064, -0.4370181550294524, -0.16459339257633518, 0.13202653582798454, 0.13650935592567093, 0.09744718475547681, -0.10131279897745471, -0.3284746123670896, -0.002540291728886276, -0.21376920264305138, -0.16181583562297974, -0.07221386982156418, -0.017628904982191714, 0.004934976453802026, -0.2635353843432357, 0.062278306670211864, -0.03137915267001429, 0.015717270945925718, -0.020817902276332196, -0.2120293641232931, 0.043087435693184774, 0.09101972538444054, 0.16394434520966236, -0.037899542483501136, 0.10749524057290528, -0.16832410594982253, -0.1860025674899722, 0.39305131072739263, -0.10110113880825626, -0.08037600410508032, 0.14661832115039367, -0.1928241966511783, -0.1703247637374372, -0.0022013856370638055, 0.18163614637195702, 0.03607912891169601, -0.15392060650593498, 0.09176574768420456, -0.04703748879511273, 0.10104329326394491, 0.05709685157507476, 0.09822106044512333, 0.29217767601310296, 0.2933943219306856, 0.060717472570902875, 0.005322856273822963, -0.19759214974701314, -0.029367588128945677, -0.41646964487437976, -0.11916265105715067, -0.07796991550045587, 0.0677616715192704, -0.012451843857689243, -0.07703004982152091, 0.47228983636354893, 0.17916121347395636, 0.19930091688250443, -0.027414665849902098, 0.3065054211765528, 0.014278555873826874, 0.02168505057329085, -0.03595826892954547, 0.3452228395120672, 0.15495118153815315, 0.15252729613765528, -0.3034251178091281, 0.04134310821210398, 0.044838191489916204] |
710.0555 | Investigation of one boundary-value problem for elliptic type equation | The goal of the paper is to study a spectral problem corresponding to the
mixed problem for a sixth order weak parabolic equation.
| math.CA | the goal of the paper is to study a spectral problem corresponding to the mixed problem for a sixth order weak parabolic equation | [['the', 'goal', 'of', 'the', 'paper', 'is', 'to', 'study', 'a', 'spectral', 'problem', 'corresponding', 'to', 'the', 'mixed', 'problem', 'for', 'a', 'sixth', 'order', 'weak', 'parabolic', 'equation']] | [-0.12167862073882767, -0.03388301050796619, -0.06978227991772734, 0.08051579156586819, -0.15762810528521304, -0.05176529798494733, -0.014618443279608113, 0.2631403304960417, -0.3721155475663102, -0.2943388937527071, 0.15587850384738133, -0.2803045720995768, -0.11128211264377055, 0.1561335296896489, -0.06329486146569252, 0.12684862119267168, 0.05047776511586879, 0.08437389686055806, -0.10563520188240902, -0.2229121938428801, 0.43703441516212793, -0.019043621647617092, 0.21913072434456451, 0.03033072080301202, 0.1165160629088464, -0.03629861231488378, 0.013331474108702463, 0.02321181444289244, -0.147215961255943, 0.20047509195485516, 0.24965834099313486, 0.010503553987845131, 0.38958924069352774, -0.31708389455857483, -0.15089797682088354, 0.1923527786427218, 0.0855072501834239, 0.14005154355064683, 0.02629562884407199, -0.23221475971133812, 0.17636060297651135, -0.1557421992006509, -0.22882558340611664, 0.049616323055132576, -0.015771591064074764, -0.016920925735536475, -0.33094167199147784, 0.07819154939573744, 0.07355398919595324, -0.02816269554845665, -0.12358486911524898, -0.02746683488721433, 0.05155519703808038, 0.10512412485221158, 0.04351618135874362, 0.0355821278695341, -0.08853712145482069, -0.15082466416060925, -0.08541203213288732, 0.4580487485813058, -0.09379650622545539, -0.19173694240010303, 0.12799586274701616, -0.1018277738324326, -0.12804681900888681, 0.14622439217308295, 0.23836830841458362, 0.18050797761458418, -0.1933899612530418, 0.1014313435424929, -0.05461355752271155, 0.18523656556625728, 0.010491746396798155, -0.04903418846104456, 0.11618847003125626, 0.17851993522566298, 0.154717685669944, 0.1956073317028906, -0.042309718226770994, -0.06559639577956303, -0.31856894622678344, -0.1783113562218521, -0.17851162005377852, 0.029455380311802677, -0.004955758320410614, -0.1754863693824281, 0.4494059626822886, 0.119218065848817, 0.15184742601021475, 0.05723232338609903, 0.2544131620746592, 0.2348919982171577, -0.0964695889826702, -0.025408511724495125, 0.18814458536065143, 0.22449456284875455, 0.1470696606531577, -0.30482974180789746, -0.011052743794963411, 0.15297954513326936] |
710.0556 | A Game Theoretic Approach to Quantum Information | This work is an application of game theory to quantum information. In a state
estimate, we are given observations distributed according to an unknown
distribution $P_{\theta}$ (associated with award $Q$), which Nature chooses at
random from the set $\{P_{\theta}: \theta \in \Theta \}$ according to a known
prior distribution $\mu$ on $\Theta$, we produce an estimate $M$ for the
unknown distribution $P_{\theta}$, and in the end, we will suffer a relative
entropy cost $\mathcal{R}(P;M)$, measuring the quality of this estimate,
therefore the whole utility is taken as $P \cdot Q -\mathcal{R}(P; M)$.
In an introduction to strategic game, a sufficient condition for minimax
theorem is obtained; An estimate is explored in the frame of game theory, and
in the view of convex conjugate, we reach one new approach to quantum relative
entropy, correspondingly quantum mutual entropy, and quantum channel capacity,
which are more general, in the sense, without Radon-Nikodym (RN) derivatives.
Also the monotonicity of quantum relative entropy and the additivity of quantum
channel capacity are investigated.
| quant-ph cs.GT cs.IT math.IT | this work is an application of game theory to quantum information in a state estimate we are given observations distributed according to an unknown distribution p_theta associated with award q which nature chooses at random from the set p_theta theta in theta according to a known prior distribution mu on theta we produce an estimate m for the unknown distribution p_theta and in the end we will suffer a relative entropy cost mathcalrpm measuring the quality of this estimate therefore the whole utility is taken as p cdot q mathcalrp m in an introduction to strategic game a sufficient condition for minimax theorem is obtained an estimate is explored in the frame of game theory and in the view of convex conjugate we reach one new approach to quantum relative entropy correspondingly quantum mutual entropy and quantum channel capacity which are more general in the sense without radonnikodym rn derivatives also the monotonicity of quantum relative entropy and the additivity of quantum channel capacity are investigated | [['this', 'work', 'is', 'an', 'application', 'of', 'game', 'theory', 'to', 'quantum', 'information', 'in', 'a', 'state', 'estimate', 'we', 'are', 'given', 'observations', 'distributed', 'according', 'to', 'an', 'unknown', 'distribution', 'p_theta', 'associated', 'with', 'award', 'q', 'which', 'nature', 'chooses', 'at', 'random', 'from', 'the', 'set', 'p_theta', 'theta', 'in', 'theta', 'according', 'to', 'a', 'known', 'prior', 'distribution', 'mu', 'on', 'theta', 'we', 'produce', 'an', 'estimate', 'm', 'for', 'the', 'unknown', 'distribution', 'p_theta', 'and', 'in', 'the', 'end', 'we', 'will', 'suffer', 'a', 'relative', 'entropy', 'cost', 'mathcalrpm', 'measuring', 'the', 'quality', 'of', 'this', 'estimate', 'therefore', 'the', 'whole', 'utility', 'is', 'taken', 'as', 'p', 'cdot', 'q', 'mathcalrp', 'm', 'in', 'an', 'introduction', 'to', 'strategic', 'game', 'a', 'sufficient', 'condition', 'for', 'minimax', 'theorem', 'is', 'obtained', 'an', 'estimate', 'is', 'explored', 'in', 'the', 'frame', 'of', 'game', 'theory', 'and', 'in', 'the', 'view', 'of', 'convex', 'conjugate', 'we', 'reach', 'one', 'new', 'approach', 'to', 'quantum', 'relative', 'entropy', 'correspondingly', 'quantum', 'mutual', 'entropy', 'and', 'quantum', 'channel', 'capacity', 'which', 'are', 'more', 'general', 'in', 'the', 'sense', 'without', 'radonnikodym', 'rn', 'derivatives', 'also', 'the', 'monotonicity', 'of', 'quantum', 'relative', 'entropy', 'and', 'the', 'additivity', 'of', 'quantum', 'channel', 'capacity', 'are', 'investigated']] | [-0.11530745635867458, 0.10889690967222013, -0.11316138559521995, 0.06375270943496038, -0.05899481691532966, -0.16145941794031496, 0.08247564141074139, 0.3374967153325225, -0.29237208678810434, -0.26603044590940983, 0.07185420838509207, -0.2864579148759896, -0.09860287590770785, 0.13848332713329883, -0.15872604191783024, 0.07556944371511538, -9.105966962648161e-05, 0.12283343357796019, -0.066570251625892, -0.2544568973522859, 0.31005280520908085, 0.04727112436525975, 0.24544032633756147, 0.03055520276256809, 0.10286615541712804, 0.01821411056726268, -0.008174437170170926, -0.0035383202736160124, -0.1978080173912035, 0.11254267616860682, 0.24463203107994613, 0.15151024758533546, 0.30461140373213724, -0.34512768458349236, -0.16097438254845187, 0.13037032660618988, 0.08723547122032015, 0.045676451561633837, -0.007952542455997458, -0.27499778735818287, 0.09630358567404927, -0.17033964413585084, -0.11787603182266608, -0.05072271835312925, 0.022658605797385628, -0.01981101808787295, -0.32971309363616236, 0.05538936666138893, 0.06556791301995735, 0.048985917344124934, -0.04854762205434258, -0.11371782230650723, 0.006170712432570078, 0.13329159757404616, 0.02416409852942734, 0.08148996960018959, 0.11932622292925689, -0.14064155871782338, -0.10495793699554987, 0.33906949000489534, -0.048610611151282984, -0.2238060389786507, 0.11590120348952372, -0.13864372952305007, -0.10904871414302651, 0.09462108740470175, 0.17826309341965527, 0.1311889323490587, -0.14384358894983024, 0.10846211518951213, -0.028617363702505828, 0.1558294614522972, 0.0726133057875841, 0.07258250147675757, 0.17169517594333172, 0.07453202829893792, 0.1284889802872909, 0.15469997705270846, -0.07666015160361757, -0.15656884392286002, -0.34535519428776973, -0.19224689108968684, -0.251753263361752, 0.10201182978538176, -0.09823389482282271, -0.13058167987249114, 0.3105963078637918, 0.13796120860444552, 0.19429799800625805, 0.08161874545850989, 0.25230771581374223, 0.14323243553490927, -0.018080096338014825, 0.07528971070141503, 0.18335222630535788, 0.16676295695995744, 0.0767125687900592, -0.1909038602078164, 0.09876723758890435, 0.04572453996110143] |
710.0557 | Trace ideals for pseudo-differential operators and their commutators
with symbols in $\alpha$-modulation spaces | In this paper, we consider the trace property of pseudo-differential
operators with symbols in $\alpha$-modulation spaces.
| math.FA math.AP | in this paper we consider the trace property of pseudodifferential operators with symbols in alphamodulation spaces | [['in', 'this', 'paper', 'we', 'consider', 'the', 'trace', 'property', 'of', 'pseudodifferential', 'operators', 'with', 'symbols', 'in', 'alphamodulation', 'spaces']] | [-0.18470320908818394, 0.10111362970201299, -0.008550582802854478, 0.10896581011911621, -0.07166219411010388, -0.03382358720409684, -0.04696226718806429, 0.3747922512702644, -0.33289153035730124, -0.1137325381860137, 0.14739336191269103, -0.30681691667996347, -0.1916489431168884, 0.102431672567036, -0.224010371719487, 0.05355286586564034, 0.036374352406710386, 0.10585641127545387, -0.2136125466786325, -0.19176240028173197, 0.6449458263814449, -0.036855190293863416, 0.1325106457225047, -0.034768162528052926, 0.0296819168725051, 0.04229062140802853, -0.10201181087177247, -0.10037123085930943, -0.13322285102913156, 0.15755024965619668, 0.3591306512244046, 0.05780128238257021, 0.28782411594875157, -0.43770270934328437, -0.19096906809136271, 0.2317390920361504, 0.13027924729976803, -0.048127192072570324, -0.020356492226710543, -0.3357312446460128, 0.0755367615056457, -0.16819165903143585, -0.11156490491703153, -0.0522693699458614, -0.005149687407538295, 0.033091514371335506, -0.32274988386780024, 0.028410790633643046, 0.1602770215831697, 0.11721477709943429, -0.17297737213084474, -0.02509482385357842, 0.09809345775283873, 0.061318638268858194, 0.007533077638072427, -0.0178485335491132, -0.020951382670318708, 0.03221433227008674, -0.13035516147647286, 0.2789625625591725, -0.12529944768175483, -0.3102053692564368, 0.01730122315348126, -0.26208340795710683, -0.24029321601847187, -0.052596950670704246, 0.16881092626135796, 0.23671851109247655, -0.12776728509925306, 0.2225840461323969, -0.08148409583372995, 0.1061356829595752, 0.10400015831692144, 0.21603652596240863, 0.0018228471744805574, 0.040224123280495405, 0.14862379943951964, 0.22472539253067225, 0.06420075535424985, -0.03567624908100697, -0.3558840241166763, -0.2833422251860611, -0.10548645199742168, 0.03662616899237037, -0.05127395351883024, -0.23149388190358877, 0.3904625321738422, 0.17820971965556964, 0.21178240468725562, 0.14755236002383754, 0.18913469021208584, 0.13332509086467326, 0.13429886614903808, 0.06626257195603102, 0.09919888828881085, 0.22801415505819023, 0.18601180880796164, -0.09517398237949237, -0.0399768493080046, 0.27649670524988323] |
710.0558 | The Stellar Mass Distribution in the Giant Star Forming Region NGC 346 | Deep F555W and F814W Hubble Space Telescope ACS images are the basis for a
study of the present day mass function (PDMF) of NGC346, the largest active
star forming region in the Small Magellanic Cloud (SMC). We find a PDMF slope
of Gamma=-1.43+/-0.18 in the mass range 0.8-60 Mo, in excellent agreement with
the Salpeter Initial Mass Function (IMF) in the solar neighborhood. Caveats on
the conversion of the PDMF to the IMF are discussed. The PDMF slope changes, as
a function of the radial distance from the center of the NGC 346 star cluster,
indicating a segregation of the most massive stars. This segregation is likely
primordial considering the young age (~3 Myr) of NGC346, and its clumpy
structure which suggests that the cluster has likely not had sufficient time to
relax. Comparing our results for NGC346 with those derived for other star
clusters in the SMC and the Milky Way (MW), we conclude that, while the star
formation process might depend on the local cloud conditions, the IMF does not
seem to be affected by general environmental effects such as galaxy type,
metallicity, and dust content.
| astro-ph | deep f555w and f814w hubble space telescope acs images are the basis for a study of the present day mass function pdmf of ngc346 the largest active star forming region in the small magellanic cloud smc we find a pdmf slope of gamma143018 in the mass range 0860 mo in excellent agreement with the salpeter initial mass function imf in the solar neighborhood caveats on the conversion of the pdmf to the imf are discussed the pdmf slope changes as a function of the radial distance from the center of the ngc 346 star cluster indicating a segregation of the most massive stars this segregation is likely primordial considering the young age 3 myr of ngc346 and its clumpy structure which suggests that the cluster has likely not had sufficient time to relax comparing our results for ngc346 with those derived for other star clusters in the smc and the milky way mw we conclude that while the star formation process might depend on the local cloud conditions the imf does not seem to be affected by general environmental effects such as galaxy type metallicity and dust content | [['deep', 'f555w', 'and', 'f814w', 'hubble', 'space', 'telescope', 'acs', 'images', 'are', 'the', 'basis', 'for', 'a', 'study', 'of', 'the', 'present', 'day', 'mass', 'function', 'pdmf', 'of', 'ngc346', 'the', 'largest', 'active', 'star', 'forming', 'region', 'in', 'the', 'small', 'magellanic', 'cloud', 'smc', 'we', 'find', 'a', 'pdmf', 'slope', 'of', 'gamma143018', 'in', 'the', 'mass', 'range', '0860', 'mo', 'in', 'excellent', 'agreement', 'with', 'the', 'salpeter', 'initial', 'mass', 'function', 'imf', 'in', 'the', 'solar', 'neighborhood', 'caveats', 'on', 'the', 'conversion', 'of', 'the', 'pdmf', 'to', 'the', 'imf', 'are', 'discussed', 'the', 'pdmf', 'slope', 'changes', 'as', 'a', 'function', 'of', 'the', 'radial', 'distance', 'from', 'the', 'center', 'of', 'the', 'ngc', '346', 'star', 'cluster', 'indicating', 'a', 'segregation', 'of', 'the', 'most', 'massive', 'stars', 'this', 'segregation', 'is', 'likely', 'primordial', 'considering', 'the', 'young', 'age', '3', 'myr', 'of', 'ngc346', 'and', 'its', 'clumpy', 'structure', 'which', 'suggests', 'that', 'the', 'cluster', 'has', 'likely', 'not', 'had', 'sufficient', 'time', 'to', 'relax', 'comparing', 'our', 'results', 'for', 'ngc346', 'with', 'those', 'derived', 'for', 'other', 'star', 'clusters', 'in', 'the', 'smc', 'and', 'the', 'milky', 'way', 'mw', 'we', 'conclude', 'that', 'while', 'the', 'star', 'formation', 'process', 'might', 'depend', 'on', 'the', 'local', 'cloud', 'conditions', 'the', 'imf', 'does', 'not', 'seem', 'to', 'be', 'affected', 'by', 'general', 'environmental', 'effects', 'such', 'as', 'galaxy', 'type', 'metallicity', 'and', 'dust', 'content']] | [-0.06629149872749884, 0.09057709708047862, -0.10491686952823305, 0.12017145061298819, -0.09035674596384646, -0.009133447716162008, 0.06184965963251291, 0.4238229038363153, -0.16950080974368667, -0.36796978513466166, 0.023732992534695022, -0.22263750734235993, -0.032031710399065744, 0.18368275580120916, -0.0665953495344558, -0.042880410049530866, 0.0965975145834254, -0.04876709853194375, -0.059438143206889775, -0.2865818473373485, 0.33820076623463374, 0.06751272126264686, 0.16167810755622458, -0.03842205821192838, 0.020064900324176897, -0.09120391391187826, -0.050413986106457954, -0.05035314386487032, -0.1742189148504612, 0.04023555185111834, 0.17453717369147959, 0.14443435848635786, 0.24357925044786047, -0.3402952218159316, -0.20224799383132852, 0.06549042539003698, 0.21747984365749368, 0.006391099721995148, -0.10408228645499616, -0.2591012007367603, 0.07810297514371733, -0.19001028540340018, -0.20578177357939156, 0.11820399182734084, 0.0737815596702394, 0.044478122001441626, -0.25697157943461285, 0.17305051068025815, -0.03928032767943998, 0.07327170740504237, -0.14325681184779573, -0.1456027851822253, -0.0913083295550765, 0.10637761914933269, -0.003350632027554809, 0.11817405156088984, 0.21771856956681943, -0.16179938026439936, 0.042875476110226074, 0.409793591355895, -0.051936218696820705, -0.013749526655811936, 0.2086607269384963, -0.22716471514749256, -0.19868412714471473, 0.049896565157631266, 0.121799313483192, 0.09678747022479653, -0.1778794052904188, 0.053843563158602954, -0.026799494548785417, 0.21717868837463186, 0.05050650918308426, 0.04958484811652458, 0.3067101001450643, 0.11415825596572284, 0.06320976165688552, 0.0670617569326971, -0.21388234652175422, -0.10653946531767194, -0.20718150803530438, -0.11075032561429761, -0.12411868159987909, 0.06494389436183433, -0.18442076129837578, -0.1374657562395986, 0.31046317862147554, 0.09705185228311282, 0.23287820277167834, 0.05385810546801092, 0.25937182891536203, 0.09630522757481016, 0.16685611954367258, 0.1056051684448864, 0.3026372440866528, 0.1543605726182381, 0.09765998606400733, -0.2657796568308837, 0.13087917143170208, -0.01860656545629456] |
710.0559 | Panel and Pseudo-Panel Estimation of Cross-Sectional and Time Series
Elasticities of Food Consumption: The Case of American and Polish Data | The problem addressed in this article is the bias to income and expenditure
elasticities estimated on pseudo-panel data caused by measurement error and
unobserved heterogeneity. We gauge empirically these biases by comparing
cross-sectional, pseudo-panel and true panel data from both Polish and American
expenditure surveys. Our results suggest that unobserved heterogeneity imparts
a downward bias to cross-section estimates of income elasticities of at-home
food expenditures and an upward bias to estimates of income elasticities of
away-from-home food expenditures. "Within" and first-difference estimators
suffer less bias, but only if the effects of measurement error are accounted
for with instrumental variables.
| stat.AP | the problem addressed in this article is the bias to income and expenditure elasticities estimated on pseudopanel data caused by measurement error and unobserved heterogeneity we gauge empirically these biases by comparing crosssectional pseudopanel and true panel data from both polish and american expenditure surveys our results suggest that unobserved heterogeneity imparts a downward bias to crosssection estimates of income elasticities of athome food expenditures and an upward bias to estimates of income elasticities of awayfromhome food expenditures within and firstdifference estimators suffer less bias but only if the effects of measurement error are accounted for with instrumental variables | [['the', 'problem', 'addressed', 'in', 'this', 'article', 'is', 'the', 'bias', 'to', 'income', 'and', 'expenditure', 'elasticities', 'estimated', 'on', 'pseudopanel', 'data', 'caused', 'by', 'measurement', 'error', 'and', 'unobserved', 'heterogeneity', 'we', 'gauge', 'empirically', 'these', 'biases', 'by', 'comparing', 'crosssectional', 'pseudopanel', 'and', 'true', 'panel', 'data', 'from', 'both', 'polish', 'and', 'american', 'expenditure', 'surveys', 'our', 'results', 'suggest', 'that', 'unobserved', 'heterogeneity', 'imparts', 'a', 'downward', 'bias', 'to', 'crosssection', 'estimates', 'of', 'income', 'elasticities', 'of', 'athome', 'food', 'expenditures', 'and', 'an', 'upward', 'bias', 'to', 'estimates', 'of', 'income', 'elasticities', 'of', 'awayfromhome', 'food', 'expenditures', 'within', 'and', 'firstdifference', 'estimators', 'suffer', 'less', 'bias', 'but', 'only', 'if', 'the', 'effects', 'of', 'measurement', 'error', 'are', 'accounted', 'for', 'with', 'instrumental', 'variables']] | [-0.030090910342179845, 0.11308365532957916, -0.046982459498246254, 0.16880975048086244, -0.09248040699012748, -0.11841292402051314, 0.156432070187293, 0.4054178913332978, -0.24102878674617684, -0.3589662107810074, 0.13009122025806039, -0.33211785320154563, -0.06975903004236823, 0.2000734569048699, -0.19872662920875436, 0.009199959620339225, 0.10103733051682309, -0.07310449482150833, 0.015759384789390072, -0.30137995318794736, 0.27068364487637825, 0.09528664228677446, 0.31957430306974116, 0.052736714425287684, 0.1431830352084944, -0.006780116662040961, -0.10548352707671571, 0.10484818546861714, -0.1369293001816728, 0.13726013185033498, 0.27101788071117233, 0.1115224776856069, 0.371820562158008, -0.3789365383967453, -0.1957779867688612, 0.1175855029212805, 0.06963651872011928, 0.05457032840622931, -0.011237474411431397, -0.3027093594000504, 0.0028380203715345003, -0.21752167503558556, -0.08349102814812498, -0.020126841767520016, 0.0014330941936647405, 0.06236507463249929, -0.30877557302806147, 0.22562697463269746, -0.004317216679681928, 0.1430067271469351, -0.10464154181251188, -0.2104948477781549, -0.09998147360438824, 0.1744289913175245, 0.18421860120784284, -0.048564462897715835, 0.194594179940581, -0.13048488603268124, -0.08420599476263231, 0.31762490147838784, -0.021806551704221234, -0.20367437195358323, 0.04721389079884607, -0.16490813199316665, -0.11528310813817519, 0.09744332417161489, 0.23155538627535713, -0.049474828989406555, -0.2255852937232703, -0.0024418161554756214, 0.029358794340122566, 0.20513288568401214, 0.03402707449098745, -0.04109487281066879, 0.1291076259768321, 0.134424493605347, 0.09385372465476394, 0.0509071911480848, -0.1280622824584609, -0.03130672785230171, -0.25633600010175484, -0.07065123305370917, -0.13891708951595486, 0.034189811194961776, -0.11901303491352022, -0.17147999827046784, 0.32309268861628915, 0.1916401649502163, 0.14999504184008253, 0.12454573887077217, 0.288435405557405, 0.08194448761475671, 0.05253109379614494, 0.04332166728183475, 0.15555308411867186, 0.059070624064235966, 0.08590193517144998, -0.19451097239103474, 0.22402182838176282, -0.056504182935673365] |
710.056 | The lattice gluon propagator in stochastic perturbation theory | We calculate loop contributions up to four loops to the Landau gauge gluon
propagator in numerical stochastic perturbation theory. For different lattice
volumes we carefully extrapolate the Euler time step to zero for the Langevin
dynamics derived from the Wilson action. The one-loop result for the gluon
propagator is compared to the infinite volume limit of standard lattice
perturbation theory.
| hep-lat | we calculate loop contributions up to four loops to the landau gauge gluon propagator in numerical stochastic perturbation theory for different lattice volumes we carefully extrapolate the euler time step to zero for the langevin dynamics derived from the wilson action the oneloop result for the gluon propagator is compared to the infinite volume limit of standard lattice perturbation theory | [['we', 'calculate', 'loop', 'contributions', 'up', 'to', 'four', 'loops', 'to', 'the', 'landau', 'gauge', 'gluon', 'propagator', 'in', 'numerical', 'stochastic', 'perturbation', 'theory', 'for', 'different', 'lattice', 'volumes', 'we', 'carefully', 'extrapolate', 'the', 'euler', 'time', 'step', 'to', 'zero', 'for', 'the', 'langevin', 'dynamics', 'derived', 'from', 'the', 'wilson', 'action', 'the', 'oneloop', 'result', 'for', 'the', 'gluon', 'propagator', 'is', 'compared', 'to', 'the', 'infinite', 'volume', 'limit', 'of', 'standard', 'lattice', 'perturbation', 'theory']] | [-0.09439565339901795, 0.21803847902143994, -0.153392446336026, 0.15288410675129854, -0.03402545644591252, -0.05562780583277345, 0.0624836008491305, 0.3361460034114619, -0.2241857507576545, -0.19662131828566393, 0.04946815148578025, -0.2957881833387849, -0.08794814383533472, 0.10263776439242064, 0.03469921081171681, 0.10567078506574035, 0.04762251996823276, 0.027832336071878672, -0.05600536806347615, -0.2812869968668868, 0.32837486639618874, 0.014580663448820511, 0.24393326512848337, 0.1027440506964922, 0.12414600793272257, -0.006033941249673565, -0.05464379445960124, 0.006666862514490882, -0.12004367977691194, 0.044021312882735704, 0.17981212905142457, -0.05531696304678917, 0.16394745608170827, -0.42900879175091783, -0.20195279886635642, 0.0010935388272628188, 0.15438209047182075, 0.19886466888710858, 0.06516604406448702, -0.24276134655810894, 0.0695741810137406, -0.19184773607800404, -0.22315124327045244, -0.14306361006262402, -0.04211571415265401, -0.12186559369632353, -0.3018197193276137, 0.05932125777859862, -0.0893609571425865, 0.028821853936339417, -0.02954584571222464, -0.15104215153648207, -0.02183894275610025, 0.15890263135855395, 0.12274887125240638, 0.08579510128280769, 0.1361812879634575, -0.17884302117551368, -0.15416985810734332, 0.41334188332160315, -0.1502092047439267, -0.23693208796903492, 0.11155296770157293, -0.20749115703317025, -0.13818253884091974, 0.17498153433977373, 0.1495631191879511, 0.10647100521455286, -0.1752999572393795, 0.17029757477963964, 0.01790275809665521, 0.09827248014820118, 0.13474493965040893, -0.02835600545319418, 0.11832916466519236, 0.0772292566485703, 0.01713420865125954, 0.13976393360935618, -0.02400335920974612, -0.23480855838861317, -0.40162852487216394, -0.06613578166191776, -0.1331816277311494, 0.0921713274049883, -0.16787228111643343, -0.22447158930202324, 0.3628842063248158, 0.1875974501017481, 0.13773178178817033, 0.13382729346243044, 0.2945650076493621, 0.21841008220799268, 0.07598982094010959, 0.019486675512356062, 0.19206064095099767, 0.21150617501698435, 0.10341237899847329, -0.3186841391841881, -0.17478212761537482, 0.26647565270153184] |
710.0561 | Extragalactic Surveys: AGN physics and evolution | We review the most important findings on AGN physics and cosmological
evolution as obtained by extragalactic X-ray surveys and associated
multiwavelength observations. We briefly discuss the perspectives for future
enterprises and in particular the scientific case for an extremely deep (2-3
Ms) XMM survey.
| astro-ph | we review the most important findings on agn physics and cosmological evolution as obtained by extragalactic xray surveys and associated multiwavelength observations we briefly discuss the perspectives for future enterprises and in particular the scientific case for an extremely deep 23 ms xmm survey | [['we', 'review', 'the', 'most', 'important', 'findings', 'on', 'agn', 'physics', 'and', 'cosmological', 'evolution', 'as', 'obtained', 'by', 'extragalactic', 'xray', 'surveys', 'and', 'associated', 'multiwavelength', 'observations', 'we', 'briefly', 'discuss', 'the', 'perspectives', 'for', 'future', 'enterprises', 'and', 'in', 'particular', 'the', 'scientific', 'case', 'for', 'an', 'extremely', 'deep', '23', 'ms', 'xmm', 'survey']] | [-0.03860991475680335, 0.08607342755931313, -0.015051493209532717, 0.1631886167240075, -0.1525690007362176, -0.040536001144739035, 0.03107303158718754, 0.4450456547466191, -0.16667903149870902, -0.32420442885168915, 0.1777684721878772, -0.3572920464106243, -0.11355541752312671, 0.2998152262192558, 0.006975543981587345, -0.014829307236306538, 0.09789373397573152, -0.14365433846515688, 0.004953937774354761, -0.3307457725432786, 0.29255938915197144, 0.15057733091353756, 0.21225112995175135, 0.0350325248119506, 0.07607005502689969, -0.015050094987435097, -0.20889555700969967, -0.008464073804630474, -0.20212657759111607, 0.10254815318198367, 0.3562686873007227, 0.20298224775416945, 0.2755881767635318, -0.3905485120220957, -0.2188192617190494, 0.010597420734649693, 0.1917495440204882, 0.020590297581458635, -0.10340297159961086, -0.30159816750727425, -0.0059217668352754445, -0.18769887665455992, -0.19038625113369728, -0.032592057938348844, 0.022458931896835566, 0.04770478194669439, -0.10730222676118667, 0.03887242057614706, -0.05505209914620288, 0.09439703549089079, -0.18986210455874575, -0.15245010583153504, 0.07629035210067575, 0.07739443228241395, 0.05300851631909609, 0.06810832481873645, 0.1084185359279879, -0.2744731433710761, -0.13169784818521954, 0.38918668488887226, -0.050648379414765674, 0.05702176944098689, 0.17088115589947186, -0.17825517817188732, -0.31330983171408827, -0.030398508510023185, 0.18705223221331835, 0.07265393012626604, -0.16066131996922195, 0.0431798592974453, 0.031094782636500895, 0.15502523254095155, -0.02229770552366972, 0.09130701107311655, 0.3222235029732639, 0.1757963071550793, 0.04076651643580673, 0.10483159145753068, -0.23226225042890292, -0.04522771267643706, -0.3138550858182663, -0.05766759876331145, -0.09722544624343175, 0.1552538483149626, -0.10379034734697515, -0.042859553528780285, 0.3630342172056606, 0.19449482661730144, 0.14697591204259713, 0.022709354546598413, 0.3071778252805499, -0.015450122906424274, 0.013336709996854717, 0.051472051555968144, 0.30978151884945954, 0.12401188427942213, 0.1939460796155882, -0.16758354514075274, 0.034212879561395806, -0.03613021086097102] |
710.0562 | On the Origin of Strong-Field Polarity Inversion Lines | Several studies have correlated observations of impulsive solar activity --
flares and coronal mass ejections (CMEs) -- with the amount of magnetic flux
near strong-field polarity inversion lines (PILs) in active regions'
photospheric magnetic fields, as measured in line-of-sight (LOS) magnetograms.
Practically, this empirical correlation holds promise as a space weather
forecasting tool. Scientifically, however, the mechanisms that generate strong
gradients in photospheric magnetic fields remain unknown. Hypotheses include:
the (1) emergence of highly twisted or kinked flux ropes, which possess strong,
opposite-polarity fields in close proximity; (2) emergence of new flux in close
proximity to old flux; and (3) flux cancellation driven by photospheric flows
acting fields that have already emerged. If such concentrations of flux near
strong gradients are formed by emergence, then increases in unsigned flux near
strong gradients should be correlated with increases in total unsigned magnetic
flux -- a signature of emergence. Here, we analyze time series of MDI
line-of-sight (LOS) magnetograms from several dozen active regions, and
conclude that increases in unsigned flux near strong gradients tend to occur
during emergence, though strong gradients can arise without flux emergence. We
acknowledge support from NSF-ATM 04-51438.
| astro-ph | several studies have correlated observations of impulsive solar activity flares and coronal mass ejections cmes with the amount of magnetic flux near strongfield polarity inversion lines pils in active regions photospheric magnetic fields as measured in lineofsight los magnetograms practically this empirical correlation holds promise as a space weather forecasting tool scientifically however the mechanisms that generate strong gradients in photospheric magnetic fields remain unknown hypotheses include the 1 emergence of highly twisted or kinked flux ropes which possess strong oppositepolarity fields in close proximity 2 emergence of new flux in close proximity to old flux and 3 flux cancellation driven by photospheric flows acting fields that have already emerged if such concentrations of flux near strong gradients are formed by emergence then increases in unsigned flux near strong gradients should be correlated with increases in total unsigned magnetic flux a signature of emergence here we analyze time series of mdi lineofsight los magnetograms from several dozen active regions and conclude that increases in unsigned flux near strong gradients tend to occur during emergence though strong gradients can arise without flux emergence we acknowledge support from nsfatm 0451438 | [['several', 'studies', 'have', 'correlated', 'observations', 'of', 'impulsive', 'solar', 'activity', 'flares', 'and', 'coronal', 'mass', 'ejections', 'cmes', 'with', 'the', 'amount', 'of', 'magnetic', 'flux', 'near', 'strongfield', 'polarity', 'inversion', 'lines', 'pils', 'in', 'active', 'regions', 'photospheric', 'magnetic', 'fields', 'as', 'measured', 'in', 'lineofsight', 'los', 'magnetograms', 'practically', 'this', 'empirical', 'correlation', 'holds', 'promise', 'as', 'a', 'space', 'weather', 'forecasting', 'tool', 'scientifically', 'however', 'the', 'mechanisms', 'that', 'generate', 'strong', 'gradients', 'in', 'photospheric', 'magnetic', 'fields', 'remain', 'unknown', 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710.0563 | Newly observed charmed states: the case of X(3872) | I briefly review the properties of the hidden charm meson X(3872), discussing
some puzzling aspects concerning its theoretical interpretation.
| hep-ph | i briefly review the properties of the hidden charm meson x3872 discussing some puzzling aspects concerning its theoretical interpretation | [['i', 'briefly', 'review', 'the', 'properties', 'of', 'the', 'hidden', 'charm', 'meson', 'x3872', 'discussing', 'some', 'puzzling', 'aspects', 'concerning', 'its', 'theoretical', 'interpretation']] | [-0.07827328968989222, 0.1877256365198838, -0.10926874491729234, 0.2456224919541886, -0.19703262711041852, -0.15525760195267044, 0.1524196864154778, 0.2858538635467228, -0.24483787346827357, -0.15599569972408445, 0.03381979578223668, -0.32303861175712784, -0.13304187254490038, 0.033930365682432524, -0.018123928359464594, 0.08883940594846775, 0.1183812458950438, 0.009877538945721952, -0.08982036373038825, -0.21882180776447058, 0.34659265726804733, 0.013058181067830637, 0.11894129757083167, 0.26716459424872147, -0.040818316028698495, -0.0032826396881749757, -0.1680822879272072, -0.12219283597445801, -0.25129835969327313, 0.10556780841005475, 0.18072040045731946, 0.2766614943179057, 0.18047410034035383, -0.39609484678428425, -0.16598642970386304, 0.01806914678921825, 0.14392908241011595, 0.07859103435552434, -0.05094892164006045, -0.36644460084406955, 0.043297370920251856, -0.1537785288926802, -0.28109556240470784, -0.15688853588347373, 0.04755553811494457, -0.02210605791524837, 0.008847330696880817, 0.03547788166293973, 0.024615765206123654, 0.09671100322157145, -0.07019704195523732, -0.40600448868261946, 0.07280095588219793, -0.057046328695785055, 0.27908017077654795, -0.0031270859763026237, 0.1841312492952535, -0.27614466662175563, -0.2554364255384395, 0.41317492566610636, 0.06463810968163766, -0.09651753438734695, 0.14759922101113357, -0.14563769062882975, -0.3116089276185161, -0.022032278467361863, 0.07001798580351629, -0.03161377204876197, -0.1799606657341907, 0.11829829029738903, -0.1672960667821922, 0.10314708948135376, 0.0027784516446684535, 0.2941067739585905, 0.2809240504315025, 0.26731916928761884, -0.24755460587575248, 0.0492160481057669, 0.026973882444987173, -0.16549624826170897, -0.527650311589241, -0.1048837672722967, -0.052626945078372955, 0.09203711926544968, -0.02552758882704534, -0.0474548438367875, 0.4716831152572444, 0.1815461065424116, 0.2968844494929439, -0.11144938121402734, 0.3206925428423442, 0.00914178867089121, -0.18425341281353644, 0.06229445700974841, 0.2609056544958883, 0.37748352947988006, 0.22054533214357339, -0.3316835547356229, 0.10056100773478024, 0.035677211947346986] |
710.0564 | TP Decoding | `Tree pruning' (TP) is an algorithm for probabilistic inference on binary
Markov random fields. It has been recently derived by Dror Weitz and used to
construct the first fully polynomial approximation scheme for counting
independent sets up to the `tree uniqueness threshold.' It can be regarded as a
clever method for pruning the belief propagation computation tree, in such a
way to exactly account for the effect of loops.
In this paper we generalize the original algorithm to make it suitable for
decoding linear codes, and discuss various schemes for pruning the computation
tree. Further, we present the outcomes of numerical simulations on several
linear codes, showing that tree pruning allows to interpolate continuously
between belief propagation and maximum a posteriori decoding. Finally, we
discuss theoretical implications of the new method.
| cs.IT math.IT | tree pruning tp is an algorithm for probabilistic inference on binary markov random fields it has been recently derived by dror weitz and used to construct the first fully polynomial approximation scheme for counting independent sets up to the tree uniqueness threshold it can be regarded as a clever method for pruning the belief propagation computation tree in such a way to exactly account for the effect of loops in this paper we generalize the original algorithm to make it suitable for decoding linear codes and discuss various schemes for pruning the computation tree further we present the outcomes of numerical simulations on several linear codes showing that tree pruning allows to interpolate continuously between belief propagation and maximum a posteriori decoding finally we discuss theoretical implications of the new method | [['tree', 'pruning', 'tp', 'is', 'an', 'algorithm', 'for', 'probabilistic', 'inference', 'on', 'binary', 'markov', 'random', 'fields', 'it', 'has', 'been', 'recently', 'derived', 'by', 'dror', 'weitz', 'and', 'used', 'to', 'construct', 'the', 'first', 'fully', 'polynomial', 'approximation', 'scheme', 'for', 'counting', 'independent', 'sets', 'up', 'to', 'the', 'tree', 'uniqueness', 'threshold', 'it', 'can', 'be', 'regarded', 'as', 'a', 'clever', 'method', 'for', 'pruning', 'the', 'belief', 'propagation', 'computation', 'tree', 'in', 'such', 'a', 'way', 'to', 'exactly', 'account', 'for', 'the', 'effect', 'of', 'loops', 'in', 'this', 'paper', 'we', 'generalize', 'the', 'original', 'algorithm', 'to', 'make', 'it', 'suitable', 'for', 'decoding', 'linear', 'codes', 'and', 'discuss', 'various', 'schemes', 'for', 'pruning', 'the', 'computation', 'tree', 'further', 'we', 'present', 'the', 'outcomes', 'of', 'numerical', 'simulations', 'on', 'several', 'linear', 'codes', 'showing', 'that', 'tree', 'pruning', 'allows', 'to', 'interpolate', 'continuously', 'between', 'belief', 'propagation', 'and', 'maximum', 'a', 'posteriori', 'decoding', 'finally', 'we', 'discuss', 'theoretical', 'implications', 'of', 'the', 'new', 'method']] | [-0.083438181581388, 0.08068219620393649, -0.11005326140430251, 0.1130254590734555, -0.10805987091806099, -0.15576791304398244, 0.1360977250711196, 0.4292345445972818, -0.3214725411234011, -0.2751365522036457, 0.09962896473229443, -0.18204390304707407, -0.20920608082893064, 0.19725636840719757, -0.04364710489691427, 0.14633221068341312, 0.09015269375064958, 0.03162571155814497, -0.06130837350337275, -0.3064715933154216, 0.2730188403307027, 0.10383033815359, 0.2627355653067468, 0.03378306278951807, 0.1366561604681503, 0.048526913142684876, -0.05256900532910501, 0.015025078055967811, -0.12971060819958757, 0.08168083641727861, 0.2606104035108201, 0.21503428025352225, 0.26453639264040774, -0.3860328229329058, -0.23048934667861756, 0.12349325313965101, 0.15991451384816036, 0.19491227504349393, -0.010851561569942887, -0.2454088930554247, 0.1466273506356844, -0.18207995300643318, -0.05290789006789791, -0.12097151902369188, -0.02794695633129423, -0.004984640775831373, -0.2929923602713997, -0.02482579204694631, 0.06033196799076724, 0.0010778750328503492, 0.014305194718532178, -0.14214057663548027, 0.04160218222603514, 0.0699665705355254, -0.004141204224415977, 0.054907522269147836, 0.03876259309268123, -0.05846452950464405, -0.21113985632048593, 0.3150058621789492, -0.04161479627182139, -0.2280710776485787, 0.15358948030594366, -0.02879973090536366, -0.19035838503223482, 0.12315865730127419, 0.20612468691329464, 0.11016399876875732, -0.14338586849466195, 0.06721237052244468, -0.033046927466590444, 0.1111641873299848, 0.10269072977470532, -0.018650101757259997, 0.12866860052983042, 0.18290736659684126, 0.09790372246705735, 0.1734830105405315, -0.07160646337944701, -0.10741101514604938, -0.2748428450200621, -0.14443358409801454, -0.14909146825128897, -0.02100256056869616, -0.14828552918489543, -0.2113710238121962, 0.37335136969216, 0.21471425003322367, 0.16938191316382006, 0.16359566086689933, 0.2859262524560122, 0.11574099378443486, 0.033961723048065766, 0.13642022896287892, 0.1878727395856177, 0.17929436826815418, 0.032420296229080846, -0.18168304561288984, 0.10513521521529964, 0.15136862614099647] |
710.0565 | Quantum key distribution using a triggered quantum dot source emitting
near 1.3 microns | We report the distribution of a cryptographic key, secure from photon number
splitting attacks, over 35 km of optical fiber using single photons from an
InAs quantum dot emitting ~1.3 microns in a pillar microcavity. Using below
GaAs-bandgap optical excitation, we demonstrate suppression of multiphoton
emission to 10% of the Poissonian level without detector dark count
subtraction. The source is incorporated into a phase encoded interferometric
scheme implementing the BB84 protocol for key distribution over standard
telecommunication optical fiber. We show a transmission distance advantage over
that possible with (length-optimized) uniform intensity weak coherent pulses at
1310 nm in the same system.
| quant-ph | we report the distribution of a cryptographic key secure from photon number splitting attacks over 35 km of optical fiber using single photons from an inas quantum dot emitting 13 microns in a pillar microcavity using below gaasbandgap optical excitation we demonstrate suppression of multiphoton emission to 10 of the poissonian level without detector dark count subtraction the source is incorporated into a phase encoded interferometric scheme implementing the bb84 protocol for key distribution over standard telecommunication optical fiber we show a transmission distance advantage over that possible with lengthoptimized uniform intensity weak coherent pulses at 1310 nm in the same system | [['we', 'report', 'the', 'distribution', 'of', 'a', 'cryptographic', 'key', 'secure', 'from', 'photon', 'number', 'splitting', 'attacks', 'over', '35', 'km', 'of', 'optical', 'fiber', 'using', 'single', 'photons', 'from', 'an', 'inas', 'quantum', 'dot', 'emitting', '13', 'microns', 'in', 'a', 'pillar', 'microcavity', 'using', 'below', 'gaasbandgap', 'optical', 'excitation', 'we', 'demonstrate', 'suppression', 'of', 'multiphoton', 'emission', 'to', '10', 'of', 'the', 'poissonian', 'level', 'without', 'detector', 'dark', 'count', 'subtraction', 'the', 'source', 'is', 'incorporated', 'into', 'a', 'phase', 'encoded', 'interferometric', 'scheme', 'implementing', 'the', 'bb84', 'protocol', 'for', 'key', 'distribution', 'over', 'standard', 'telecommunication', 'optical', 'fiber', 'we', 'show', 'a', 'transmission', 'distance', 'advantage', 'over', 'that', 'possible', 'with', 'lengthoptimized', 'uniform', 'intensity', 'weak', 'coherent', 'pulses', 'at', '1310', 'nm', 'in', 'the', 'same', 'system']] | [-0.1559854768589139, 0.12435558586046681, -0.0758033027255442, -0.00485056183184497, 0.06592168361879885, -0.2223471589293331, 0.07035680332919583, 0.4755784438597038, -0.23919229693710803, -0.29335521078901367, -0.00015489531913772224, -0.25978770735673606, -0.004377813306637108, 0.27479478634195403, -0.03758722297847271, 0.09123182478826493, 0.03386845080880448, -0.0718384696659632, 0.014539098205859772, -0.18303854147321544, 0.28325162414461375, 0.05157107463455759, 0.34103585271164777, 0.03627738961484283, 0.15681139495223761, 0.0616720809857361, 0.011077759377658368, -0.11040712491609156, -0.0703071588025341, 0.09222496095811948, 0.2272218259004876, 0.05034260734915733, 0.23998163464246317, -0.3604797570500523, -0.2160947901639156, 0.07243879846297205, 0.17587815015605884, 0.14789164366200566, -0.040818928107619286, -0.30705652590841054, 0.06072024587541819, -0.20861695714294912, -0.10580409355228766, 0.05552426278591156, -0.057037488110363486, 0.01902908638585359, -0.21647534908726812, 0.021358764776960016, -0.0155588925734628, 0.08979497072345112, 0.03233149074483663, -0.03563188839121722, -0.0004893772839568556, 0.06666158329462632, -0.11809980225982145, 0.014146309462666977, 0.22380330994259567, -0.11236997645581141, -0.13972151782829315, 0.34419974925927815, -0.15302594242384657, -0.03508706002496183, 0.057607233301387166, -0.16471084990538656, -0.046446241877274586, 0.23943509761011228, 0.15434515627101064, 0.07405457313871011, -0.10601681645959615, -0.010743382535874844, -0.0056041436456143855, 0.32389650914818047, 0.15077478226274252, 0.20099709223490209, 0.2285226610302925, 0.18078913770616054, 0.03395157281309366, 0.1545059151761234, -0.22766034540720284, -0.08363746072223875, -0.32668505277484655, -0.1309620565143996, -0.1981814168114215, 0.1473979197535664, -0.09186515992973, -0.08219955638516695, 0.38214912105246185, 0.13959623011294753, 0.14710294788703324, 0.013594539209734649, 0.3903244188241661, 0.08238559257239103, 0.09414217693731189, 0.05579609805252403, 0.2703029103251174, 0.1577945199725218, 0.07055514199775643, -0.18244305739179253, -0.0033718621358275413, -0.048568195290863515] |
710.0566 | Post-Outburst Observations of V1647 Ori: Detection of a Brief Warm,
Molecular Outflow | We present new observations of the fundamental ro-vibrational CO spectrum of
V1647 Ori, the young star whose recent outburst illuminated McNeil's Nebula.
Previous spectra, acquired during outburst in 2004 February and July, had shown
the CO emission lines to be broad and centrally peaked-similar to the CO
spectrum of a typical classical T Tauri star. In this paper, we present CO
spectra acquired shortly after the luminosity of the source returned to its
pre-outburst level (2006 February) and roughly one year later (2006 December
and 2007 February). The spectrum taken in 2006 February revealed blue-shifted
CO absorption lines superimposed on the previously observed CO emission lines.
The projected velocity, column density, and temperature of this outflowing gas
was 30 km/s, 3^{+2}_{-1}E18 cm^{-2$, and 700^{+300}_{-100} K, respectively. The
absorption lines were not observed in the 2006 December and 2007 February data,
and so their strengths must have decreased in the interim by a factor of 9 or
more. We discuss three mechanisms that could give rise to this unusual outflow.
| astro-ph | we present new observations of the fundamental rovibrational co spectrum of v1647 ori the young star whose recent outburst illuminated mcneils nebula previous spectra acquired during outburst in 2004 february and july had shown the co emission lines to be broad and centrally peakedsimilar to the co spectrum of a typical classical t tauri star in this paper we present co spectra acquired shortly after the luminosity of the source returned to its preoutburst level 2006 february and roughly one year later 2006 december and 2007 february the spectrum taken in 2006 february revealed blueshifted co absorption lines superimposed on the previously observed co emission lines the projected velocity column density and temperature of this outflowing gas was 30 kms 32_1e18 cm2 and 700300_100 k respectively the absorption lines were not observed in the 2006 december and 2007 february data and so their strengths must have decreased in the interim by a factor of 9 or more we discuss three mechanisms that could give rise to this unusual outflow | [['we', 'present', 'new', 'observations', 'of', 'the', 'fundamental', 'rovibrational', 'co', 'spectrum', 'of', 'v1647', 'ori', 'the', 'young', 'star', 'whose', 'recent', 'outburst', 'illuminated', 'mcneils', 'nebula', 'previous', 'spectra', 'acquired', 'during', 'outburst', 'in', '2004', 'february', 'and', 'july', 'had', 'shown', 'the', 'co', 'emission', 'lines', 'to', 'be', 'broad', 'and', 'centrally', 'peakedsimilar', 'to', 'the', 'co', 'spectrum', 'of', 'a', 'typical', 'classical', 't', 'tauri', 'star', 'in', 'this', 'paper', 'we', 'present', 'co', 'spectra', 'acquired', 'shortly', 'after', 'the', 'luminosity', 'of', 'the', 'source', 'returned', 'to', 'its', 'preoutburst', 'level', '2006', 'february', 'and', 'roughly', 'one', 'year', 'later', '2006', 'december', 'and', '2007', 'february', 'the', 'spectrum', 'taken', 'in', '2006', 'february', 'revealed', 'blueshifted', 'co', 'absorption', 'lines', 'superimposed', 'on', 'the', 'previously', 'observed', 'co', 'emission', 'lines', 'the', 'projected', 'velocity', 'column', 'density', 'and', 'temperature', 'of', 'this', 'outflowing', 'gas', 'was', '30', 'kms', '32_1e18', 'cm2', 'and', '700300_100', 'k', 'respectively', 'the', 'absorption', 'lines', 'were', 'not', 'observed', 'in', 'the', '2006', 'december', 'and', '2007', 'february', 'data', 'and', 'so', 'their', 'strengths', 'must', 'have', 'decreased', 'in', 'the', 'interim', 'by', 'a', 'factor', 'of', '9', 'or', 'more', 'we', 'discuss', 'three', 'mechanisms', 'that', 'could', 'give', 'rise', 'to', 'this', 'unusual', 'outflow']] | [-0.03784479568074233, 0.08247008379997618, -0.04349267311641071, 0.009529005425437971, -0.07375536114959248, -0.10256205184710582, 0.0633496384498248, 0.4695376112428774, -0.1611098074213972, -0.393784846844017, 0.0857274886865887, -0.2932483574700912, -0.03378872393422861, 0.1248061624650159, -0.06045591024996107, -0.049379564928667935, 0.10765319775876937, -0.10003085710467344, -0.045127581999951365, -0.31625114431526197, 0.24378314638701098, 0.12998239745958204, 0.15955996826565993, 0.028392782695309177, 0.04972746851924156, -0.11401057224131626, -0.08879448718346476, -0.09139796831162579, -0.144079602097874, 0.039565848214664016, 0.22210290915815226, 0.1426427908275411, 0.1639014804309391, -0.3766797964183434, -0.20679364810243295, 0.01041872135688921, 0.11951371373507721, -0.02942468983356852, 0.05076348802931424, -0.31915397421423214, -0.04003912180168442, -0.1937986421034144, -0.15748700164595103, 0.10602096722921334, 0.15333816050607935, -0.017098784710404026, -0.18728829199148073, 0.1200292424091239, 0.05314365315885025, 0.16172110743214746, -0.11693561685913949, -0.1287130379364882, -0.10734426581401782, 0.05975656161303576, 0.01598716138704983, 0.07920570032624107, 0.1502185070337391, -0.051515979065380274, -0.08002639338598554, 0.34007187442382775, -0.09359386340288603, 0.16374164103833308, 0.23163087756782547, -0.23519590008703722, -0.21172491698077014, 0.2726672567169081, 0.1416592773229602, 0.0971686489268554, -0.13981530193172126, 0.002567350674358881, -0.0643628070850475, 0.22745560053231037, 0.11724805084606969, 0.011390231308493629, 0.2906847267232117, 0.022324885795712023, -0.047594039312406744, 0.12093783540059308, -0.29949527015735633, -0.019798643379303885, -0.21902971608208, -0.09747116469374173, -0.10879659007095832, 0.12227579960271685, -0.02531911649794531, -0.05829834720980326, 0.38387604275471476, 0.0778572407662616, 0.2490535539586142, -0.07321759455313791, 0.2492243912777897, 0.15329205327252127, 0.02059701119686501, 0.18939302056881946, 0.34085580163231366, 0.18250010088955737, 0.2614718677661191, -0.18128899617277713, 0.05342225424162707, 0.012618025824433216] |
710.0567 | Dynamical Wave Function Collapse: Could It Have Cosmological
Consequences? | This talk was in response to the conference injunction to present "one bold
but half-baked idea that you have been thinking about recently.. .". After a
brief introduction to the ideas and formalism of the CSL theory of dynamical
wave function collapse, some possible cosmological effects associated with
applying it to the creation of the universe are discussed.
| quant-ph | this talk was in response to the conference injunction to present one bold but halfbaked idea that you have been thinking about recently after a brief introduction to the ideas and formalism of the csl theory of dynamical wave function collapse some possible cosmological effects associated with applying it to the creation of the universe are discussed | [['this', 'talk', 'was', 'in', 'response', 'to', 'the', 'conference', 'injunction', 'to', 'present', 'one', 'bold', 'but', 'halfbaked', 'idea', 'that', 'you', 'have', 'been', 'thinking', 'about', 'recently', 'after', 'a', 'brief', 'introduction', 'to', 'the', 'ideas', 'and', 'formalism', 'of', 'the', 'csl', 'theory', 'of', 'dynamical', 'wave', 'function', 'collapse', 'some', 'possible', 'cosmological', 'effects', 'associated', 'with', 'applying', 'it', 'to', 'the', 'creation', 'of', 'the', 'universe', 'are', 'discussed']] | [-0.057207272951067846, 0.149466341056607, -0.16379315124993973, 0.09529744304335591, -0.15131793337112123, -0.09477898040998049, -0.01121204893147065, 0.3385266971520402, -0.20989410652017051, -0.3039882531897588, 0.12414335291621022, -0.2675771862437779, -0.2138923485509374, 0.12972556456754153, -0.03149805957959457, 0.013238822516392577, -0.003640156527134505, 0.05929229306903752, -0.08389692859914662, -0.32748635788871483, 0.3380625874566084, 0.11864225896583362, 0.23746164226057856, 0.07212230145761912, 0.08056843379851092, -0.003843666325238618, -0.0904567932032726, 0.016274598308584905, -0.1479900641077124, 0.08909225023605606, 0.21316299788992513, 0.19158213210969485, 0.3194525982845913, -0.47031437382102015, -0.22563301045447587, 0.03918241621418433, 0.07472044099968943, 0.1842804568989033, -0.0588336993008852, -0.31358442276038906, 0.053618759238584474, -0.21809384289451622, -0.15912681508132004, -0.03193431064825166, 0.06761492873457345, -0.01996734540232203, -0.14472936251497065, 0.04479482795365832, 0.052617179599738766, 0.012293858047236097, -0.004475883001313461, -0.07950771230865608, 0.03913099581206387, 0.06428875380449674, 0.1145517983558503, 0.0911259094337848, 0.12696564939211716, -0.0973958475345915, -0.1359121562743729, 0.38245153454217046, -0.019070286242375997, -0.12105498019267212, 0.1623585323824293, -0.1566753888502717, -0.16645234708504922, 0.09545178324068812, 0.13729331987825308, 0.05411304301497611, -0.1730998736213554, 0.06292475349248641, 0.039650645056496035, 0.12598252443766053, 0.06944304224611683, 0.020877070022238927, 0.25419459861110555, 0.16231180023063313, -0.029580881662497466, 0.06717464818026532, 0.0053194244212301615, -0.1621041311808354, -0.33888198977166956, -0.13639371092808275, -0.14185421449894256, 0.07227635940362234, 0.04624814613833388, -0.14399021747098728, 0.4052548450333151, 0.23234698537059806, 0.16767202655530788, 0.0009050135585394772, 0.2478777911175381, 0.12363912995312024, 0.05170737724560736, -0.003322626061906869, 0.2355828994869212, 0.18412873533723706, 0.167994785444303, -0.173031257126819, 0.039479821624064985, 0.0793446384920654] |
710.0568 | Sparticle masses from hadronic decays | We present our work on reconstructing sparticle masses in purely hadronic
decay chains, using the $k_T$ jet-algorithm on Monte Carlo simulated events at
LHC energies.
| hep-ph | we present our work on reconstructing sparticle masses in purely hadronic decay chains using the k_t jetalgorithm on monte carlo simulated events at lhc energies | [['we', 'present', 'our', 'work', 'on', 'reconstructing', 'sparticle', 'masses', 'in', 'purely', 'hadronic', 'decay', 'chains', 'using', 'the', 'k_t', 'jetalgorithm', 'on', 'monte', 'carlo', 'simulated', 'events', 'at', 'lhc', 'energies']] | [-0.012631206540390849, 0.26329922148336965, -0.11959333091120546, 0.21279074612539262, -0.006886744988150895, -0.03178015002049506, 0.0358652296611884, 0.4611237586165468, -0.15934070312262824, -0.29525278011957806, 0.0006045287445886061, -0.3643582076765597, 0.12427176379909118, 0.18327947768072286, 0.17743699570807317, 0.11243937474985917, 0.25663688959321007, -0.0850476468525206, -0.09797564474865794, -0.2028884912530581, 0.24568462884053588, 0.14046806046584, 0.12501630105543882, 0.09900292055681348, 0.06109415144116307, 0.11676404833754835, -0.014705705145994822, -0.09674696158617735, -0.25380466201265034, 0.032870698448581, 0.2141603390822032, 0.05757438964792527, 0.03248898467669884, -0.3977537813285987, -0.13391603979592523, 0.18419020560880503, 0.19635588427384695, 0.11053859376503776, -0.12622178940606923, -0.32691282716890174, 0.09328470949549228, -0.18276805570349097, -0.044618008697095014, -0.07479613262694329, -0.13075499050319195, -0.09087361441925168, -0.259065236741056, 0.137192947906442, -0.1547913011163473, 0.08122843375895172, 0.0684010052937083, -0.2739938097074628, -0.024380048358580098, -0.07246486811588208, 0.09240376506447016, -0.004847693839110434, 0.23166080286803967, -0.08749224726731579, -0.2696556731437643, 0.28771546281253296, -0.004042375328329702, -0.13807367533445358, 0.24739578319713473, -0.15953197695004442, -0.2631140812688197, 0.20294075661028424, 0.3004798844146232, 0.19067925218647966, -0.22263828665018082, 0.16744422755436972, 0.021119642692307632, 0.1598563204946307, 0.0056944090174511075, -0.004844151825333635, 0.1802033627172932, 0.28921674843877554, -0.07665452007980396, 0.09934638708364218, -0.11864552367478609, -0.1340845775169631, -0.40703427512198687, -0.025164867285639048, -0.23123894119635224, 0.07407585007604212, -0.07047352350006501, -0.11785863324378927, 0.42431047558784485, 0.21385152800939977, 0.2798373585877319, 0.1583096856290164, 0.39263480963806313, 0.06161238232258862, 0.00271249752646933, 0.06007238011807203, 0.27193650882691145, 0.1076535511141022, 0.14894178862838695, -0.25145097682252526, 0.04146084476572772, 0.1286227404489182] |
710.0569 | Twisted mass QCD at finite temperature | We discuss the use of Wilson fermions with twisted mass for simulations of
QCD thermodynamics. As a prerequisite for a future analysis of the
finite-temperature transition making use of automatic O(a) improvement, we
investigate the phase structure in the space spanned by the hopping parameter
kappa, the coupling beta, and the twisted mass parameter mu. We present results
for N_f=2 degenerate quarks on a 16^3x8 lattice, for which we investigate the
possibility of an Aoki phase existing at strong coupling and vanishing mu, as
well as of a thermal phase transition at moderate gauge couplings and
non-vanishing mu.
| hep-lat | we discuss the use of wilson fermions with twisted mass for simulations of qcd thermodynamics as a prerequisite for a future analysis of the finitetemperature transition making use of automatic oa improvement we investigate the phase structure in the space spanned by the hopping parameter kappa the coupling beta and the twisted mass parameter mu we present results for n_f2 degenerate quarks on a 163x8 lattice for which we investigate the possibility of an aoki phase existing at strong coupling and vanishing mu as well as of a thermal phase transition at moderate gauge couplings and nonvanishing mu | [['we', 'discuss', 'the', 'use', 'of', 'wilson', 'fermions', 'with', 'twisted', 'mass', 'for', 'simulations', 'of', 'qcd', 'thermodynamics', 'as', 'a', 'prerequisite', 'for', 'a', 'future', 'analysis', 'of', 'the', 'finitetemperature', 'transition', 'making', 'use', 'of', 'automatic', 'oa', 'improvement', 'we', 'investigate', 'the', 'phase', 'structure', 'in', 'the', 'space', 'spanned', 'by', 'the', 'hopping', 'parameter', 'kappa', 'the', 'coupling', 'beta', 'and', 'the', 'twisted', 'mass', 'parameter', 'mu', 'we', 'present', 'results', 'for', 'n_f2', 'degenerate', 'quarks', 'on', 'a', '163x8', 'lattice', 'for', 'which', 'we', 'investigate', 'the', 'possibility', 'of', 'an', 'aoki', 'phase', 'existing', 'at', 'strong', 'coupling', 'and', 'vanishing', 'mu', 'as', 'well', 'as', 'of', 'a', 'thermal', 'phase', 'transition', 'at', 'moderate', 'gauge', 'couplings', 'and', 'nonvanishing', 'mu']] | [-0.16949527217651306, 0.24504210300801788, -0.014739466773480484, 0.059173891858495385, -0.033789907150047344, -0.09543590418533567, 0.13677247241859505, 0.3696549328562525, -0.1818416208489654, -0.2438391803034111, 0.0933554168807381, -0.2580087180297399, -0.0911206571702106, 0.1204520593752566, 0.06813773075982775, 0.07013337306447864, 0.020403712239001216, 0.004646466598490772, -0.1437123217091886, -0.16780810182453276, 0.36940488726207893, 0.038634049605347755, 0.24525239604726895, 0.12990574561750767, 0.05729775798036573, 0.01860571055452234, -0.007162930962351179, -0.037396615741056745, -0.18578484679359855, 0.021740747970941755, 0.1454347611750601, -0.03445765724136811, 0.17366252883671082, -0.30708524705986157, -0.20741727998355383, 0.09562644392693627, 0.13203501646627777, 0.07550093224728192, -0.058030073109716564, -0.27463704014446627, 0.03424086978181371, -0.19696079270395728, -0.18301308640523709, -0.15048796801645423, -0.025583041505408043, -0.0516048684216959, -0.35352131899880707, 0.09566075149347487, -0.020420855903738783, 0.07141163347039334, -0.025321727450552983, -0.14218065899211108, -0.04620816728421823, 0.11953865992236576, 0.0706382883117371, 0.06982084621012825, 0.08854135952064211, -0.18108153999447055, -0.11899217391943502, 0.4316085133816778, -0.1433104335416838, -0.1472308068276988, 0.15756802713335252, -0.15992345362805674, -0.17326919737358376, 0.09135647765119241, 0.14266340509441094, 0.11108404941396001, -0.09559581169592139, 0.13655013476135977, -0.003205715712236682, 0.1443012190728266, 0.0492207945814145, 0.04387270787145136, 0.2607190065354723, 0.19753614761242547, 0.03485370437451398, 0.13010124944044835, -0.08068688786300571, -0.11956433605729151, -0.3404430360677316, -0.18197500576101935, -0.15720509740610406, 0.0826519001815372, -0.13521058705215913, -0.17876739589708676, 0.3665220052983189, 0.1672210218240843, 0.21948418292437785, 0.0314302409713435, 0.24268477032748387, 0.10301674779182896, 0.05197711007131897, -0.0004669739660739745, 0.2723267766762256, 0.1541717164434454, 0.11453171386911544, -0.29405474313294766, -0.07320987560891921, 0.11426422492476161] |
710.057 | Dirac phase leptogenesis | I present here a concise summary of the preprint arXiv:0707.3024, written in
collaboration with A. Anisimov and P. Di Bari. There we discuss leptogenesis
when {\em CP} violation stems exlusively from the Dirac phase in the PMNS
mixing matrix. Under this assumption it turns out that the situation is very
constrained when a hierarchical heavy right-handed (RH) neutrino spectrum is
considered: the allowed regions are small and the final asymmetry depends on
the initial conditions. On the other hand, for a quasi-degenerate spectrum of
RH neutrinos, the {\em CP} asymmetry can be enhanced and the situation becomes
much more favorable, with no dependence on the initial conditions.
Interestingly, in the extreme case of resonant leptogenesis, in order to match
the observed baryon asymmetry of the Universe, we obtain a lower bound on \sin
\q_{13} which depends on the lightest active neutrino mass m_1.
| hep-ph | i present here a concise summary of the preprint arxiv07073024 written in collaboration with a anisimov and p di bari there we discuss leptogenesis when em cp violation stems exlusively from the dirac phase in the pmns mixing matrix under this assumption it turns out that the situation is very constrained when a hierarchical heavy righthanded rh neutrino spectrum is considered the allowed regions are small and the final asymmetry depends on the initial conditions on the other hand for a quasidegenerate spectrum of rh neutrinos the em cp asymmetry can be enhanced and the situation becomes much more favorable with no dependence on the initial conditions interestingly in the extreme case of resonant leptogenesis in order to match the observed baryon asymmetry of the universe we obtain a lower bound on sin q_13 which depends on the lightest active neutrino mass m_1 | [['i', 'present', 'here', 'a', 'concise', 'summary', 'of', 'the', 'preprint', 'arxiv07073024', 'written', 'in', 'collaboration', 'with', 'a', 'anisimov', 'and', 'p', 'di', 'bari', 'there', 'we', 'discuss', 'leptogenesis', 'when', 'em', 'cp', 'violation', 'stems', 'exlusively', 'from', 'the', 'dirac', 'phase', 'in', 'the', 'pmns', 'mixing', 'matrix', 'under', 'this', 'assumption', 'it', 'turns', 'out', 'that', 'the', 'situation', 'is', 'very', 'constrained', 'when', 'a', 'hierarchical', 'heavy', 'righthanded', 'rh', 'neutrino', 'spectrum', 'is', 'considered', 'the', 'allowed', 'regions', 'are', 'small', 'and', 'the', 'final', 'asymmetry', 'depends', 'on', 'the', 'initial', 'conditions', 'on', 'the', 'other', 'hand', 'for', 'a', 'quasidegenerate', 'spectrum', 'of', 'rh', 'neutrinos', 'the', 'em', 'cp', 'asymmetry', 'can', 'be', 'enhanced', 'and', 'the', 'situation', 'becomes', 'much', 'more', 'favorable', 'with', 'no', 'dependence', 'on', 'the', 'initial', 'conditions', 'interestingly', 'in', 'the', 'extreme', 'case', 'of', 'resonant', 'leptogenesis', 'in', 'order', 'to', 'match', 'the', 'observed', 'baryon', 'asymmetry', 'of', 'the', 'universe', 'we', 'obtain', 'a', 'lower', 'bound', 'on', 'sin', 'q_13', 'which', 'depends', 'on', 'the', 'lightest', 'active', 'neutrino', 'mass', 'm_1']] | [-0.1495361605417981, 0.2411731025935816, -0.051233433093875645, 0.14416705636457275, -0.07841803960618562, -0.1596551666535171, 0.07342746367711307, 0.30182753577329485, -0.20552276268468372, -0.2941281960262651, 0.07802286922066871, -0.27851421664069803, -0.06978434773793976, 0.14283091041392515, 0.0071951235079073484, -0.031145674106664956, 0.06242327454632946, 0.03218257314126406, -0.0888519956181491, -0.22221355267268206, 0.31964219025269686, 0.062129038439265316, 0.25805161946918814, 0.059223686512476496, 0.041646831991550115, -0.04212850580889998, -0.020930036064237358, -0.05239964349561238, -0.11649306650199703, 0.034835573500354905, 0.16683909797575325, 0.10294542804892574, 0.14218839164656985, -0.3786760958177703, -0.12651393056314972, 0.17229911602833972, 0.13022226342332682, 0.08673688709386625, -0.08640677166871942, -0.26892266639208956, 0.07644721113444705, -0.1598728738326047, -0.09769326315976547, -0.01254302538914739, -0.002574869817388909, -0.09778836642924164, -0.35934983745682986, 0.10742277755801166, -0.011673633355115141, -0.031246681631143605, 0.006572790166163551, -0.18754419449770857, -0.057048622818131535, 0.014979857687389344, 0.12303280981016412, -0.04056950955003101, 0.10560014617762395, -0.1150416164426133, -0.011871408292790875, 0.4224885687539687, -0.08174045581586792, -0.16186965809735868, 0.13319523602632607, -0.20082659172226808, -0.17543204687618916, 0.0814768174812863, 0.11962560955102422, 0.11946737928249473, -0.1145228794753036, 0.14251574238837098, -0.10455766105691769, 0.1645939242028232, 0.08082380282493042, 0.023758944939722176, 0.23338124769340668, 0.17710076639362213, 0.12420135535066948, 0.04283712886099238, -0.06903562980504441, -0.05058291392966307, -0.3464645312034658, -0.10595724844315554, -0.16152858066405834, 0.06717238471111549, -0.0712644187996505, -0.1172332041664049, 0.4186304197247539, 0.11645165649575315, 0.22851606867542223, -0.03950468649200047, 0.27574437168992255, 0.11736203070530402, 0.02066539304131376, 0.03506728684962062, 0.2989933039993048, 0.13727950243046508, 0.14624136927471096, -0.2635062633381624, 0.08581708659684019, 0.029094037114243423] |
710.0571 | Analytic Expressions for Geometric Measure of Three Qubit States | A new method is developed to derive an algebraic equations for the geometric
measure of entanglement of three qubit pure states. The equations are derived
explicitly and solved in cases of most interest. These equations allow oneself
to derive the analytic expressions of the geometric entanglement measure in the
wide range of the three qubit systems, including the general class of W-states
and states which are symmetric under permutation of two qubits. The nearest
separable states are not necessarily unique and highly entangled states are
surrounded by the one-parametric set of equally distant separable states. A
possibility for the physical applications of the various three qubit states to
quantum teleportation and superdense coding is suggested from the aspect of the
entanglement.
| quant-ph | a new method is developed to derive an algebraic equations for the geometric measure of entanglement of three qubit pure states the equations are derived explicitly and solved in cases of most interest these equations allow oneself to derive the analytic expressions of the geometric entanglement measure in the wide range of the three qubit systems including the general class of wstates and states which are symmetric under permutation of two qubits the nearest separable states are not necessarily unique and highly entangled states are surrounded by the oneparametric set of equally distant separable states a possibility for the physical applications of the various three qubit states to quantum teleportation and superdense coding is suggested from the aspect of the entanglement | [['a', 'new', 'method', 'is', 'developed', 'to', 'derive', 'an', 'algebraic', 'equations', 'for', 'the', 'geometric', 'measure', 'of', 'entanglement', 'of', 'three', 'qubit', 'pure', 'states', 'the', 'equations', 'are', 'derived', 'explicitly', 'and', 'solved', 'in', 'cases', 'of', 'most', 'interest', 'these', 'equations', 'allow', 'oneself', 'to', 'derive', 'the', 'analytic', 'expressions', 'of', 'the', 'geometric', 'entanglement', 'measure', 'in', 'the', 'wide', 'range', 'of', 'the', 'three', 'qubit', 'systems', 'including', 'the', 'general', 'class', 'of', 'wstates', 'and', 'states', 'which', 'are', 'symmetric', 'under', 'permutation', 'of', 'two', 'qubits', 'the', 'nearest', 'separable', 'states', 'are', 'not', 'necessarily', 'unique', 'and', 'highly', 'entangled', 'states', 'are', 'surrounded', 'by', 'the', 'oneparametric', 'set', 'of', 'equally', 'distant', 'separable', 'states', 'a', 'possibility', 'for', 'the', 'physical', 'applications', 'of', 'the', 'various', 'three', 'qubit', 'states', 'to', 'quantum', 'teleportation', 'and', 'superdense', 'coding', 'is', 'suggested', 'from', 'the', 'aspect', 'of', 'the', 'entanglement']] | [-0.14214655000346998, 0.17130743365550571, -0.06499899779100063, 0.05101711218522415, 0.012517826467144402, -0.21682599257708582, 0.01601128731777291, 0.322358982160318, -0.2491274547449521, -0.27096396164337466, 0.08591172254157507, -0.2578110806105181, -0.08150865959892557, 0.22718633685553494, -0.023504378770531947, 0.12063649944549287, 0.03277744839452823, 0.035906224101704874, -0.08983655602571146, -0.24433390422982032, 0.38258899669047475, -0.045812015580436724, 0.28803068405586824, 0.028333952253557403, 0.11354054498278406, -0.02250202356410513, 0.005966960972036459, -0.01621373454656335, -0.08892432503279082, 0.1450583304563337, 0.29702397560015753, 0.15643267472051392, 0.21632231653413989, -0.4098894669682034, -0.20408797419576113, 0.0994664320552891, 0.10909704396728241, 0.17875536948669518, -0.018466246575078626, -0.33638853478160774, 0.01924714729505445, -0.19269327796256738, -0.1216108244651359, -0.11375125705876411, 0.04807277429417884, -0.022150920807915038, -0.2495074149352029, 0.0584117385043093, 0.059761440664268105, 0.010960372565083268, -0.05066902203916395, -0.07937240514188451, -0.006618923710636056, 0.1418003647872978, -0.05323182608478141, -0.05315610991640801, 0.11012752110923617, -0.11493742260562395, -0.14589432376092454, 0.3564062953295479, 0.00660868619245377, -0.25520352308045735, 0.20440655601718885, -0.11436182432538591, -0.12407754711067874, 0.06779787551673237, 0.12620751475068656, 0.16676391206666336, -0.18046271983410947, 0.054434545786497146, -0.054134989226591, 0.1351438414946214, 0.04302429119971665, 0.15910248383581407, 0.19539326917349306, 0.034253891164914146, 0.09171829158959771, 0.20601694389007802, -0.04663341553989521, -0.1779914219663594, -0.3229795377239708, -0.16814180909201873, -0.21301745584288473, 0.07217388059224737, -0.09925612696390676, -0.1527070004823964, 0.4394913373653554, 0.05727708910895927, 0.12937993801791559, 0.013925648562817965, 0.2096148419293983, 0.1142404442875548, 0.034105896459091914, 0.08099399660983361, 0.2563536985631078, 0.21774451072666456, 0.00391145756329633, -0.22079957692406701, 0.04113797743414858, 0.04033820734028358] |
710.0572 | The diagonal of the Stasheff polytope | We construct an A-infinity structure on the tensor product of two A-infinity
algebras by using the simplicial decomposition of the Stasheff polytope. The
key point is the construction of an operad AA-infinity based on the simplicial
Stasheff polytope. The operad AA-infinity admits a coassociative diagonal and
the operad A-infinity is a retract by deformation of it. We compare these
constructions with analogous constructions due to Saneblidze-Umble and
Markl-Shnider based on the Boardman-Vogt cubical decomposition of the Stasheff
polytope.
| math.AT math.QA | we construct an ainfinity structure on the tensor product of two ainfinity algebras by using the simplicial decomposition of the stasheff polytope the key point is the construction of an operad aainfinity based on the simplicial stasheff polytope the operad aainfinity admits a coassociative diagonal and the operad ainfinity is a retract by deformation of it we compare these constructions with analogous constructions due to saneblidzeumble and marklshnider based on the boardmanvogt cubical decomposition of the stasheff polytope | [['we', 'construct', 'an', 'ainfinity', 'structure', 'on', 'the', 'tensor', 'product', 'of', 'two', 'ainfinity', 'algebras', 'by', 'using', 'the', 'simplicial', 'decomposition', 'of', 'the', 'stasheff', 'polytope', 'the', 'key', 'point', 'is', 'the', 'construction', 'of', 'an', 'operad', 'aainfinity', 'based', 'on', 'the', 'simplicial', 'stasheff', 'polytope', 'the', 'operad', 'aainfinity', 'admits', 'a', 'coassociative', 'diagonal', 'and', 'the', 'operad', 'ainfinity', 'is', 'a', 'retract', 'by', 'deformation', 'of', 'it', 'we', 'compare', 'these', 'constructions', 'with', 'analogous', 'constructions', 'due', 'to', 'saneblidzeumble', 'and', 'marklshnider', 'based', 'on', 'the', 'boardmanvogt', 'cubical', 'decomposition', 'of', 'the', 'stasheff', 'polytope']] | [-0.14127207376264236, 0.007094080878085004, -0.10601430742472813, 0.05038328837867625, -0.14604328784185486, -0.0722692117623582, -0.06519031760635206, 0.35573761492363504, -0.4356595156966029, -0.16928446394819263, 0.13089836424065604, -0.2145318629069103, -0.24975941919193073, 0.1018795949985852, -0.2507274847578358, -0.09446586920200167, 0.07339876638473691, 0.07522304155360404, -0.08417436749850576, -0.24313711384122536, 0.496994573824309, 0.05727091248814218, 0.2639715453811191, 0.044449111100638636, 0.16431290035866, -0.00684749978795849, -0.030491251171239325, -0.028509426182387648, -0.2301230292477821, 0.19878815363689856, 0.2539610041248788, 0.08381494532364446, 0.0944865610028894, -0.4139783453397654, -0.007798698966350482, 0.12934134978599646, 0.08325923460762243, 0.047936526555064564, 0.014286468285324707, -0.23665703956440493, 0.06083600127415077, -0.20308275465425607, -0.08924042899161577, -0.0761588672050149, 0.07317076006753219, -0.03439147371446361, -0.21890093513050218, -0.08004855869237233, 0.10035588479021916, 0.11728873562910971, -0.09372566233867326, -0.14653733206560482, -0.14281092896881337, 0.032482867859102586, -0.113648491036902, 0.07060326300435574, 0.12077435442699573, -0.04878830746118281, -0.2152935665704914, 0.3977285911253578, -0.006514121274891737, -0.24753279727254365, 0.08593670984201536, -0.09904986472699691, -0.16070163699269696, 0.14473340645231106, -0.044442453415359594, 0.1634245523616571, 0.0071695401023355995, 0.23626475731961782, -0.15466896071086159, 0.021401392065092444, 0.14774228757045962, -0.00642413307434401, 0.13469903049612972, 0.18309838153623245, 0.07848257342403805, 0.23798093164490686, 0.024461103537170268, -0.10837956661408818, -0.29047660992757696, -0.14760278716307398, -0.12086795678211225, 0.1692902837829614, -0.2266391075929671, -0.21946984256391186, 0.3593830208017214, 0.07891094859538449, 0.1849170752991356, 0.13908649666700512, 0.27025693685219093, -0.027821262732047488, 0.13876427956730933, -0.017352815715885546, 0.10370056002992331, 0.30918311484384575, -0.03742672472789481, -0.11701880190899042, -0.009042917064869323, 0.33887414493270823] |
710.0573 | Nonlinear Brownian Motion and Higgs Mechanism | An extension of the stochastic quantization scheme is proposed by adding
nonlinear terms to the field equations. Our modification is motivated by the
recently established theory of active Brownian motion. We discuss a way of
promoting this theory to the case of infinite degrees of freedom. Equilibrium
distributions can be calculated exactly and are interpreted as path integral
densities of quantum field theories. By applying our procedure to scalar QED,
the symmetry breaking potential of the Higgs mechanism arises as the
equilibrium solution.
| hep-th | an extension of the stochastic quantization scheme is proposed by adding nonlinear terms to the field equations our modification is motivated by the recently established theory of active brownian motion we discuss a way of promoting this theory to the case of infinite degrees of freedom equilibrium distributions can be calculated exactly and are interpreted as path integral densities of quantum field theories by applying our procedure to scalar qed the symmetry breaking potential of the higgs mechanism arises as the equilibrium solution | [['an', 'extension', 'of', 'the', 'stochastic', 'quantization', 'scheme', 'is', 'proposed', 'by', 'adding', 'nonlinear', 'terms', 'to', 'the', 'field', 'equations', 'our', 'modification', 'is', 'motivated', 'by', 'the', 'recently', 'established', 'theory', 'of', 'active', 'brownian', 'motion', 'we', 'discuss', 'a', 'way', 'of', 'promoting', 'this', 'theory', 'to', 'the', 'case', 'of', 'infinite', 'degrees', 'of', 'freedom', 'equilibrium', 'distributions', 'can', 'be', 'calculated', 'exactly', 'and', 'are', 'interpreted', 'as', 'path', 'integral', 'densities', 'of', 'quantum', 'field', 'theories', 'by', 'applying', 'our', 'procedure', 'to', 'scalar', 'qed', 'the', 'symmetry', 'breaking', 'potential', 'of', 'the', 'higgs', 'mechanism', 'arises', 'as', 'the', 'equilibrium', 'solution']] | [-0.1443253036655755, 0.1562388536693172, -0.10875096062130957, 0.04692390820162977, -0.07420610364930458, -0.11011445136875453, 0.006041833118210177, 0.302733036610915, -0.2925448707102921, -0.31014224541575525, 0.06044441738715732, -0.23346719200756536, -0.1819458951702319, 0.1182600115369781, -0.03623102844064405, 0.05461517990151622, -0.020704834531229663, 0.009325151533696306, -0.03261582948918264, -0.23453048019703612, 0.2987225955374629, 0.06379254515064005, 0.23811309580433082, 0.030592049612293403, 0.15015011491725244, 0.035049985690289234, 0.005077757199395852, 0.05929220036367874, -0.09920384024034243, 0.12885237978603017, 0.1974703682900732, 0.07559546994337116, 0.2453731035600495, -0.4002725245229092, -0.2825105419068272, 0.06908115296882678, 0.14509301405387415, 0.15678899382880654, -0.06293794783729925, -0.3040815891602626, 0.06366257834057491, -0.19677629284785095, -0.2186675511289343, -0.11479216943079808, -0.0379206987731832, -0.02274793940764594, -0.28281618596380015, 0.08587064320524504, 0.05265645281108747, 0.037642254785870216, -0.05681905327140387, -0.08752957623766129, -0.01929121636729463, 0.055419310702975975, 0.11265971992131188, 0.03924562550340611, 0.1512141151266756, -0.16299241013174137, -0.18347805458631547, 0.4008869211447526, -0.08753172630242195, -0.23673167860371072, 0.12151978182864476, -0.07523735993014402, -0.07024053928543286, 0.11172759925654854, 0.10962668261546867, 0.16171898011746536, -0.17430774278445058, 0.16475912094809092, -0.020650347734027238, 0.09338363863426788, 0.045012097037116804, 0.02789037849709212, 0.18961071761309925, 0.11080509831803481, 0.07640544948426176, 0.1793932802680633, -0.01080978908632175, -0.21974452534488526, -0.38778508750789137, -0.1378558203914618, -0.1623480070315032, 0.07920248813489564, -0.09507926527101473, -0.12320163702951317, 0.37324532236866564, 0.1257348106907546, 0.1622530382620283, 0.00744671126580741, 0.25990512791504883, 0.2197893451764641, 0.06633247703268945, 0.015194645594715714, 0.25310856024229744, 0.20879481726673893, 0.05079808144504765, -0.2548598379502634, -0.01147118646718831, 0.13663117014185852] |
710.0574 | Combinatorial Aspects of Elliptic Curves II: Relationship between
Elliptic Curves and Chip-Firing Games on Graphs | Let q be a power of a prime and E be an elliptic curve defined over F_q. In
"Combinatorial aspects of elliptic curves" [17], the present author examined a
sequence of polynomials which express the N_k's, the number of points on E over
the field extensions F_{q^k}, in terms of the parameters q and N_1 = #E(F_q).
These polynomials have integral coefficients which alternate in sign, and a
combinatorial interpretation in terms of spanning trees of wheel graphs. In
this sequel, we explore further ramifications of this connection. In
particular, we highlight a relationship between elliptic curves and chip-firing
games on graphs by comparing the groups structures of both. As a coda, we
construct a cyclic rational language whose zeta function is dual to that of an
elliptic curve.
| math.CO math.NT | let q be a power of a prime and e be an elliptic curve defined over f_q in combinatorial aspects of elliptic curves 17 the present author examined a sequence of polynomials which express the n_ks the number of points on e over the field extensions f_qk in terms of the parameters q and n_1 ef_q these polynomials have integral coefficients which alternate in sign and a combinatorial interpretation in terms of spanning trees of wheel graphs in this sequel we explore further ramifications of this connection in particular we highlight a relationship between elliptic curves and chipfiring games on graphs by comparing the groups structures of both as a coda we construct a cyclic rational language whose zeta function is dual to that of an elliptic curve | [['let', 'q', 'be', 'a', 'power', 'of', 'a', 'prime', 'and', 'e', 'be', 'an', 'elliptic', 'curve', 'defined', 'over', 'f_q', 'in', 'combinatorial', 'aspects', 'of', 'elliptic', 'curves', '17', 'the', 'present', 'author', 'examined', 'a', 'sequence', 'of', 'polynomials', 'which', 'express', 'the', 'n_ks', 'the', 'number', 'of', 'points', 'on', 'e', 'over', 'the', 'field', 'extensions', 'f_qk', 'in', 'terms', 'of', 'the', 'parameters', 'q', 'and', 'n_1', 'ef_q', 'these', 'polynomials', 'have', 'integral', 'coefficients', 'which', 'alternate', 'in', 'sign', 'and', 'a', 'combinatorial', 'interpretation', 'in', 'terms', 'of', 'spanning', 'trees', 'of', 'wheel', 'graphs', 'in', 'this', 'sequel', 'we', 'explore', 'further', 'ramifications', 'of', 'this', 'connection', 'in', 'particular', 'we', 'highlight', 'a', 'relationship', 'between', 'elliptic', 'curves', 'and', 'chipfiring', 'games', 'on', 'graphs', 'by', 'comparing', 'the', 'groups', 'structures', 'of', 'both', 'as', 'a', 'coda', 'we', 'construct', 'a', 'cyclic', 'rational', 'language', 'whose', 'zeta', 'function', 'is', 'dual', 'to', 'that', 'of', 'an', 'elliptic', 'curve']] | [-0.21634196193190292, 0.06805292148806075, -0.13049471190151962, 0.04035713180110179, -0.08146859219414182, -0.10214957515927381, 0.02184148919513973, 0.33165348388138227, -0.31149751994234975, -0.28063555311564414, 0.07702813202013203, -0.2540308441821253, -0.16395936357002938, 0.2328780449461192, -0.12835582849220373, -0.0015343912609750987, 0.028349190222797915, 0.07660760586804827, -0.06560750314736197, -0.2911770076807443, 0.3396707177089411, -0.03681278083968209, 0.14575126589625143, 0.04119608321661872, 0.09056072337625665, 0.04642637634606217, -0.035807906115223886, 0.011838679942229646, -0.17268285723758936, 0.13483879874911509, 0.3057003491849173, 0.07881045502290362, 0.20098971323750447, -0.35811256543092895, -0.1769357554276212, 0.21849736425429, 0.14462592154814047, -0.04158117151564511, -0.004170726651864243, -0.18016820793127408, 0.08117462140944554, -0.16910128834842908, -0.12261682388270856, -0.033871522136905696, 0.08609323168457195, 0.096857666336291, -0.26372126887781633, -0.02510009414254455, 0.06088490669208113, 0.17842047381418524, -0.02083548646987765, -0.1391765311927884, -0.0031181388621916994, 0.06643860279291403, 0.0037580174639515462, 0.058219768212438794, 0.010072937966469908, -0.13672572581708664, -0.180436134323827, 0.353494172624778, -0.055670391710009426, -0.20761774232278185, 0.07882962462463183, -0.13249077256841701, -0.13958372024353594, 0.09943274895840659, 0.18939602186219417, 0.17313301035756012, -0.05834781137309619, 0.14062182353518438, -0.12483516044039789, 0.10890984174147889, 0.12851472244801698, -0.024183357682886708, 0.19075958036410157, 0.04504023620938824, 0.03392352696209855, 0.16873588477028534, 0.020017271519463975, -0.05952677392633632, -0.32777259575232165, -0.17797411758510862, -0.13024167303956347, 0.0885761497738713, -0.15084505154618455, -0.1799485560713947, 0.47138804850692395, 0.06716172504093265, 0.23460433381114854, 0.08515565414745652, 0.1958709653990809, 0.10607218469431245, 0.017483218182405835, 0.049194857725524344, 0.1135668843453459, 0.19663745438083424, 0.040307179167939466, -0.18392828651485615, 0.0205119879283302, 0.15145172445772914] |
710.0575 | Hadronic photon-photon scattering at LEP | Hadronic interactions of two quasi-real photons have been studied extensively
both during the LEP1 and the LEP2 data taking periods. The higher energies
available at LEP2 in particular opened regions of phase space where hadronic
processes can be predicted reliably by perturbative QCD calculations, usually
available to next-to-leading order in the strong coupling constant for the
process concerned. Over a wide range of observables and phase space good
agreement is observed between measurements and theory, however, there are a few
exceptions. The L3 collaboration has found large discrepancies for high
momentum particle and jet production between theory and experiment, and
measurements of open b-quark production by DELPHI, L3, and OPAL are
consistently in excess of the theoretical values. Three new measurements have
now become available and will be discussed in this paper: on jet and hadron
production by OPAL and open beauty production by ALEPH.
| hep-ex | hadronic interactions of two quasireal photons have been studied extensively both during the lep1 and the lep2 data taking periods the higher energies available at lep2 in particular opened regions of phase space where hadronic processes can be predicted reliably by perturbative qcd calculations usually available to nexttoleading order in the strong coupling constant for the process concerned over a wide range of observables and phase space good agreement is observed between measurements and theory however there are a few exceptions the l3 collaboration has found large discrepancies for high momentum particle and jet production between theory and experiment and measurements of open bquark production by delphi l3 and opal are consistently in excess of the theoretical values three new measurements have now become available and will be discussed in this paper on jet and hadron production by opal and open beauty production by aleph | [['hadronic', 'interactions', 'of', 'two', 'quasireal', 'photons', 'have', 'been', 'studied', 'extensively', 'both', 'during', 'the', 'lep1', 'and', 'the', 'lep2', 'data', 'taking', 'periods', 'the', 'higher', 'energies', 'available', 'at', 'lep2', 'in', 'particular', 'opened', 'regions', 'of', 'phase', 'space', 'where', 'hadronic', 'processes', 'can', 'be', 'predicted', 'reliably', 'by', 'perturbative', 'qcd', 'calculations', 'usually', 'available', 'to', 'nexttoleading', 'order', 'in', 'the', 'strong', 'coupling', 'constant', 'for', 'the', 'process', 'concerned', 'over', 'a', 'wide', 'range', 'of', 'observables', 'and', 'phase', 'space', 'good', 'agreement', 'is', 'observed', 'between', 'measurements', 'and', 'theory', 'however', 'there', 'are', 'a', 'few', 'exceptions', 'the', 'l3', 'collaboration', 'has', 'found', 'large', 'discrepancies', 'for', 'high', 'momentum', 'particle', 'and', 'jet', 'production', 'between', 'theory', 'and', 'experiment', 'and', 'measurements', 'of', 'open', 'bquark', 'production', 'by', 'delphi', 'l3', 'and', 'opal', 'are', 'consistently', 'in', 'excess', 'of', 'the', 'theoretical', 'values', 'three', 'new', 'measurements', 'have', 'now', 'become', 'available', 'and', 'will', 'be', 'discussed', 'in', 'this', 'paper', 'on', 'jet', 'and', 'hadron', 'production', 'by', 'opal', 'and', 'open', 'beauty', 'production', 'by', 'aleph']] | [-0.059693889435509156, 0.23757237334061285, -0.06495147836755898, 0.12068927771907856, -0.031029884057954468, -0.11595286939550063, 0.033669578666188596, 0.391369963347398, -0.20238563060953185, -0.34902120037325496, 0.06748697722716064, -0.3617623867284394, 0.038415353608735166, 0.1900104657803052, 0.08083641970979756, 0.13472159212256443, 0.13524196867525962, -0.020933438850374058, -0.03660911356002606, -0.21269774132343972, 0.2978026414803904, 0.09561120154143407, 0.22060256654974716, 0.15954770538955926, 0.05396277764892398, -0.0015340589789737916, -0.08035217220894993, 0.013834261601582042, -0.1360479257454903, 0.08608774587126641, 0.2823293454527598, 0.054178214745981425, 0.1575880352857298, -0.40107987993878536, -0.16898212871546375, 0.09698204161791966, 0.14078259214534072, 0.06373446929300654, -0.08295030743285114, -0.27038338639741316, 0.0812250919511606, -0.22444585460270272, -0.05793782116781021, -0.09890865821005969, 0.02519820633440696, -0.04182476208400752, -0.2828738104423572, 0.03837297520246999, -0.0906911316231407, 0.08531718010134023, -0.019245527864530168, -0.16374978522352618, -0.05646537457319811, 0.08682775920064285, 0.0889972015747656, 0.10537585311264185, 0.09067178693246739, -0.14268556499596813, -0.1833917472800561, 0.3845675071123345, -0.06254531484305988, -0.10852330952144132, 0.20244165560238642, -0.23345684685969148, -0.15633044177024016, 0.15907451936268602, 0.18347537432443992, 0.049836351080187434, -0.20614404984717738, 0.13067176089188534, 0.019061476762952476, 0.14344242436586527, 0.07833610951643566, 0.07048575404729365, 0.19044408260780418, 0.17297327448935088, -0.06060985019430518, 0.048766645626967836, -0.0756105092370176, -0.10908531730930353, -0.36020398666632586, -0.08081576554265259, -0.1254146958155365, -0.028698884465346304, -0.056178793098159326, -0.055460367152660055, 0.318278980852458, 0.08815298932443918, 0.26897015175300426, -0.026580040317414136, 0.30810553132524265, 0.08203653214772329, 0.07257815909828862, 0.06626657219443084, 0.3747692366355452, 0.12820376247199702, 0.1538177234080524, -0.17433421944813995, 0.06249984480633304, 0.005051089185771757] |
710.0576 | Shrinkage and spectral filtering of correlation matrices: a comparison
via the Kullback-Leibler distance | The problem of filtering information from large correlation matrices is of
great importance in many applications. We have recently proposed the use of the
Kullback-Leibler distance to measure the performance of filtering algorithms in
recovering the underlying correlation matrix when the variables are described
by a multivariate Gaussian distribution. Here we use the Kullback-Leibler
distance to investigate the performance of filtering methods based on Random
Matrix Theory and on the shrinkage technique. We also present some results on
the application of the Kullback-Leibler distance to multivariate data which are
non Gaussian distributed.
| physics.data-an physics.soc-ph q-fin.ST | the problem of filtering information from large correlation matrices is of great importance in many applications we have recently proposed the use of the kullbackleibler distance to measure the performance of filtering algorithms in recovering the underlying correlation matrix when the variables are described by a multivariate gaussian distribution here we use the kullbackleibler distance to investigate the performance of filtering methods based on random matrix theory and on the shrinkage technique we also present some results on the application of the kullbackleibler distance to multivariate data which are non gaussian distributed | [['the', 'problem', 'of', 'filtering', 'information', 'from', 'large', 'correlation', 'matrices', 'is', 'of', 'great', 'importance', 'in', 'many', 'applications', 'we', 'have', 'recently', 'proposed', 'the', 'use', 'of', 'the', 'kullbackleibler', 'distance', 'to', 'measure', 'the', 'performance', 'of', 'filtering', 'algorithms', 'in', 'recovering', 'the', 'underlying', 'correlation', 'matrix', 'when', 'the', 'variables', 'are', 'described', 'by', 'a', 'multivariate', 'gaussian', 'distribution', 'here', 'we', 'use', 'the', 'kullbackleibler', 'distance', 'to', 'investigate', 'the', 'performance', 'of', 'filtering', 'methods', 'based', 'on', 'random', 'matrix', 'theory', 'and', 'on', 'the', 'shrinkage', 'technique', 'we', 'also', 'present', 'some', 'results', 'on', 'the', 'application', 'of', 'the', 'kullbackleibler', 'distance', 'to', 'multivariate', 'data', 'which', 'are', 'non', 'gaussian', 'distributed']] | [-0.03718601888470838, 0.004404906773150129, -0.1317031189961278, 0.10541787420262826, -0.044470494858535894, -0.08986123161815593, 0.027434579138492194, 0.43092233539842395, -0.3140482210918613, -0.27050148629401205, 0.13377168715511367, -0.3146513556332692, -0.20853198564651867, 0.1751867817492103, -0.10065077459338405, 0.14570264692377785, 0.04051396198084821, 0.042254008155356605, -0.12825180805268008, -0.2672515246895668, 0.3502235890722975, 0.08223392121789916, 0.3206622826148067, 0.0021325787934272184, 0.11560256219514564, 0.06890884465436735, -0.08648028342134279, 0.0010748061189508956, -0.10027297163817464, 0.172518335468814, 0.2161946312078963, 0.19694237219189983, 0.3268230303960002, -0.34806874590804393, -0.2222173497505972, 0.14308470646526827, 0.09425126016139984, 0.07322421659204259, -0.050364142009208954, -0.28949708634299104, 0.05927485822315287, -0.13871694488815314, -0.05727822455557306, -0.09579945985814961, -0.029676036858607247, 0.07603009272387008, -0.3015779350357859, 0.11684124582445846, 0.043246096146859876, 0.04517225331485109, 0.0165475069560394, -0.18039922831256106, 0.08181275816573559, 0.11112171463047042, 0.06630612762250088, -0.011623591859065726, 0.12492972737907068, -0.10308975553261521, -0.136858929453529, 0.2994978498950925, -0.05917209855776847, -0.25893278321777674, 0.1637548765537086, -0.11142773886271955, -0.12079058154789812, 0.06878007459454238, 0.2526146649666455, 0.10026921664425374, -0.20042929005554153, 0.0913654611814981, -0.031879037831221584, 0.12564548977104056, 0.05072927667313944, 0.04224537609716999, 0.1345067319495644, 0.1451593560809472, 0.0884321578898538, 0.14040911888308905, -0.1650356338789646, -0.1376284580708117, -0.24755735262094633, -0.13357849903505944, -0.3014922958252061, -0.016294758392335927, -0.16001967601361053, -0.1962614649015924, 0.38467933243626484, 0.2132894844474757, 0.21107495694077047, 0.06631355845171999, 0.3034320964741156, 0.11660482312815831, 0.04387845547550925, 0.07585560118415109, 0.19019737700411654, 0.2130226471749863, 0.048761151255229895, -0.18398628240380355, 0.09959534254512223, 0.0489877817808124] |
710.0577 | Multi-Orbital Lattice Model for (Ga,Mn)As and Other Lightly Magnetically
Doped Zinc-Blende-Type Semiconductors | We present a Hamiltonian in real space which is well suited to study
numerically the behavior of holes introduced in III-V semiconductors by Mn
doping when the III$^{3+}$ ion is replaced by Mn$^{2+}$. We consider the actual
lattice with the diamond structure. Since the focus is on light doping by
acceptors, a bonding combination of III and V p-orbitals is considered since
the top of the valence band, located at the $\Gamma$ point, has p character in
these materials. As a result, an effective model in which the holes hop between
the sites of an fcc lattice is obtained. We show that around the $\Gamma$ point
in momentum space the Hamiltonian for the undoped case is identical to the one
for the Luttinger-Kohn model. The spin-orbit interaction is included as well as
the on-site interaction between the spin of the magnetic impurity and the spin
of the doped holes. The effect of Coulomb interactions between Mn$^{2+}$ and
holes, as well as Mn$^{3+}$ doping are discussed. Through large-scale Monte
Carlo simulations on a Cray XT3 supercomputer, we show that this model
reproduces many experimental results for ${\rm Ga_{\it 1-x}Mn_{\it x}As}$ and
${\rm Ga_{\it 1-x}Mn_{\it x}Sb}$, and that the Curie temperature does not
increase monotonically with $x$. The cases of Mn doped GaP and GaN, in which
Mn$^{3+}$ is believed to play a role, are also studied.
| cond-mat.mtrl-sci | we present a hamiltonian in real space which is well suited to study numerically the behavior of holes introduced in iiiv semiconductors by mn doping when the iii3 ion is replaced by mn2 we consider the actual lattice with the diamond structure since the focus is on light doping by acceptors a bonding combination of iii and v porbitals is considered since the top of the valence band located at the gamma point has p character in these materials as a result an effective model in which the holes hop between the sites of an fcc lattice is obtained we show that around the gamma point in momentum space the hamiltonian for the undoped case is identical to the one for the luttingerkohn model the spinorbit interaction is included as well as the onsite interaction between the spin of the magnetic impurity and the spin of the doped holes the effect of coulomb interactions between mn2 and holes as well as mn3 doping are discussed through largescale monte carlo simulations on a cray xt3 supercomputer we show that this model reproduces many experimental results for rm ga_it 1xmn_it xas and rm ga_it 1xmn_it xsb and that the curie temperature does not increase monotonically with x the cases of mn doped gap and gan in which mn3 is believed to play a role are also studied | [['we', 'present', 'a', 'hamiltonian', 'in', 'real', 'space', 'which', 'is', 'well', 'suited', 'to', 'study', 'numerically', 'the', 'behavior', 'of', 'holes', 'introduced', 'in', 'iiiv', 'semiconductors', 'by', 'mn', 'doping', 'when', 'the', 'iii3', 'ion', 'is', 'replaced', 'by', 'mn2', 'we', 'consider', 'the', 'actual', 'lattice', 'with', 'the', 'diamond', 'structure', 'since', 'the', 'focus', 'is', 'on', 'light', 'doping', 'by', 'acceptors', 'a', 'bonding', 'combination', 'of', 'iii', 'and', 'v', 'porbitals', 'is', 'considered', 'since', 'the', 'top', 'of', 'the', 'valence', 'band', 'located', 'at', 'the', 'gamma', 'point', 'has', 'p', 'character', 'in', 'these', 'materials', 'as', 'a', 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'and', 'that', 'the', 'curie', 'temperature', 'does', 'not', 'increase', 'monotonically', 'with', 'x', 'the', 'cases', 'of', 'mn', 'doped', 'gap', 'and', 'gan', 'in', 'which', 'mn3', 'is', 'believed', 'to', 'play', 'a', 'role', 'are', 'also', 'studied']] | [-0.11884640152146189, 0.16680283078109978, 0.02263934187246614, 0.06899856622426528, 0.03246706961462759, -0.14786452759423008, 0.061307761494971844, 0.4192786477676265, -0.24309556839188143, -0.29220369522838285, 0.020040170020598186, -0.3596644984591714, -0.1157824183159325, 0.17499536796277346, 0.05095762373522332, -0.028725852625291436, 0.011241178635612012, 0.01077405885754995, -0.0950469676326518, -0.24214981231396193, 0.3027929512881695, 0.08393479915352785, 0.2515858512575904, 0.09282162990160583, 0.03000258900582382, 0.06223301367117113, 0.12467677383917515, 0.021547331814191367, -0.10848343201014442, 0.0682842006771182, 0.23997105017663767, -0.03255989694899824, 0.20039042204163424, -0.41328025793818307, 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710.0578 | The B-meson mass splitting from non-perturbative quenched lattice QCD | We perform the non-perturbative (quenched) renormalization of the
chromo-magnetic operator in Heavy Quark Effective Theory and its three-loop
matching to QCD. At order 1/m of the expansion, the operator is responsible for
the mass splitting between the pseudoscalar and vector B-mesons. These new
computed factors are affected by an uncertainty negligible in comparison to the
known bare matrix element of the operator between B-states. Furthermore, they
push the quenched determination of the spin splitting for the Bs-meson much
closer to its experimental value than the previous perturbatively renormalized
computations. The renormalization factor for three commonly used heavy quark
actions and the Wilson gauge action and useful parametrizations of the matching
coefficient are provided.
| hep-lat hep-ph | we perform the nonperturbative quenched renormalization of the chromomagnetic operator in heavy quark effective theory and its threeloop matching to qcd at order 1m of the expansion the operator is responsible for the mass splitting between the pseudoscalar and vector bmesons these new computed factors are affected by an uncertainty negligible in comparison to the known bare matrix element of the operator between bstates furthermore they push the quenched determination of the spin splitting for the bsmeson much closer to its experimental value than the previous perturbatively renormalized computations the renormalization factor for three commonly used heavy quark actions and the wilson gauge action and useful parametrizations of the matching coefficient are provided | [['we', 'perform', 'the', 'nonperturbative', 'quenched', 'renormalization', 'of', 'the', 'chromomagnetic', 'operator', 'in', 'heavy', 'quark', 'effective', 'theory', 'and', 'its', 'threeloop', 'matching', 'to', 'qcd', 'at', 'order', '1m', 'of', 'the', 'expansion', 'the', 'operator', 'is', 'responsible', 'for', 'the', 'mass', 'splitting', 'between', 'the', 'pseudoscalar', 'and', 'vector', 'bmesons', 'these', 'new', 'computed', 'factors', 'are', 'affected', 'by', 'an', 'uncertainty', 'negligible', 'in', 'comparison', 'to', 'the', 'known', 'bare', 'matrix', 'element', 'of', 'the', 'operator', 'between', 'bstates', 'furthermore', 'they', 'push', 'the', 'quenched', 'determination', 'of', 'the', 'spin', 'splitting', 'for', 'the', 'bsmeson', 'much', 'closer', 'to', 'its', 'experimental', 'value', 'than', 'the', 'previous', 'perturbatively', 'renormalized', 'computations', 'the', 'renormalization', 'factor', 'for', 'three', 'commonly', 'used', 'heavy', 'quark', 'actions', 'and', 'the', 'wilson', 'gauge', 'action', 'and', 'useful', 'parametrizations', 'of', 'the', 'matching', 'coefficient', 'are', 'provided']] | [-0.08986321375206378, 0.23018043044651545, -0.06466638230319534, 0.1300176049252124, -0.042855005873466974, -0.08256993173355502, 0.06663508385307589, 0.3585051475924307, -0.21196856811210246, -0.25914773639358046, 0.04854329768360393, -0.30742974472897394, -0.05175314386100841, 0.12342457483412415, 0.05772468661390511, 0.09310706885610541, 0.03325025617024429, 0.07165506642611165, -0.13156182510283543, -0.2283942518094721, 0.35868892302720007, 0.040879147788343416, 0.23106772535330883, 0.15320395281014498, 0.04444739157666585, 0.010385835393078326, -0.07921582241293176, -0.04088473054746698, -0.08160342803291444, 0.11934048281026273, 0.17959645380324218, -0.015113475807343743, 0.17481554026848503, -0.3695235118502751, -0.13497678626975226, 0.07372891739214538, 0.1423861596246882, 0.11127955279412813, -0.015804369310249707, -0.2786015503224917, 0.09211974270562807, -0.20295674707033737, -0.1513753723504903, -0.13451529138131132, -0.02127555087957132, -0.10604942034530852, -0.3446915331629238, 0.07963026505941732, -0.06817205394587031, 0.014258136902104266, -0.004111112790789255, -0.2104213085590995, -0.025776751863304526, 0.1655977147955647, 0.1214219390031498, 0.07756461697447646, 0.14023968784022145, -0.18878739376253048, -0.08453739682694764, 0.4298453162357743, -0.10609496403737596, -0.18654470616352878, 0.13144948506461723, -0.1639179204399365, -0.12180924249696545, 0.07976411462336078, 0.13425520695454907, 0.13876800744245493, -0.150586414267309, 0.08949730775826278, -0.0179101046357703, 0.12130885429256263, 0.06432986554656443, 0.0407084709190063, 0.15147644018621317, 0.11134057542325795, 0.021368398767663166, 0.04462137957203335, -0.0023604832572995554, -0.13087883915120205, -0.34612248277491225, -0.09051687126546833, -0.14236921716032416, 0.02860966303186225, -0.18304621776613722, -0.16066992690632884, 0.39093628355268656, 0.1590024648799694, 0.18365668776095845, 0.006821134755487687, 0.29745798790827394, 0.17900118245909521, 0.13253785569395404, 0.08132293217431652, 0.2856636047030666, 0.20104078506327433, 0.08481852600484022, -0.3300497376434838, -0.0008690903123351745, 0.18227919518955918] |
710.0579 | Late stages of the evolution of A-type stars on the main sequence:
comparison between observed chemical abundances and diffusion models for 8 Am
stars of the Praesepe cluster | Aims. We aim to provide observational constraints on diffusion models that
predict peculiar chemical abundances in the atmospheres of Am stars. We also
intend to check if chemical peculiarities and slow rotation can be explained by
the presence of a weak magnetic field.
Methods. We have obtained high resolution, high signal-to-noise ratio spectra
of eight previously-classified Am stars, two normal A-type stars and one Blue
Straggler, considered to be members of the Praesepe cluster. For all of these
stars we have determined fundamental parameters and photospheric abundances for
a large number of chemical elements, with a higher precision than was ever
obtained before for this cluster. For seven of these stars we also obtained
spectra in circular polarization and applied the LSD technique to constrain the
longitudinal magnetic field.
Results. No magnetic field was detected in any of the analysed stars. HD
73666, a Blue Straggler previously considered as an Ap (Si) star, turns out to
have the abundances of a normal A-type star. Am classification is not confirmed
for HD 72942. For HD 73709 we have also calculated synthetic Delta-a photometry
that is in good agreement with the observations. There is a generally good
agreement between abundance predictions of diffusion models and values that we
have obtained for the remaining Am stars. However, the observed Na and S
abundances deviate from the predictions by 0.6 dex and >0.25 dex respectively.
Li appears to be overabundant in three stars of our sample.
| astro-ph | aims we aim to provide observational constraints on diffusion models that predict peculiar chemical abundances in the atmospheres of am stars we also intend to check if chemical peculiarities and slow rotation can be explained by the presence of a weak magnetic field methods we have obtained high resolution high signaltonoise ratio spectra of eight previouslyclassified am stars two normal atype stars and one blue straggler considered to be members of the praesepe cluster for all of these stars we have determined fundamental parameters and photospheric abundances for a large number of chemical elements with a higher precision than was ever obtained before for this cluster for seven of these stars we also obtained spectra in circular polarization and applied the lsd technique to constrain the longitudinal magnetic field results no magnetic field was detected in any of the analysed stars hd 73666 a blue straggler previously considered as an ap si star turns out to have the abundances of a normal atype star am classification is not confirmed for hd 72942 for hd 73709 we have also calculated synthetic deltaa photometry that is in good agreement with the observations there is a generally good agreement between abundance predictions of diffusion models and values that we have obtained for the remaining am stars however the observed na and s abundances deviate from the predictions by 06 dex and 025 dex respectively li appears to be overabundant in three stars of our sample | [['aims', 'we', 'aim', 'to', 'provide', 'observational', 'constraints', 'on', 'diffusion', 'models', 'that', 'predict', 'peculiar', 'chemical', 'abundances', 'in', 'the', 'atmospheres', 'of', 'am', 'stars', 'we', 'also', 'intend', 'to', 'check', 'if', 'chemical', 'peculiarities', 'and', 'slow', 'rotation', 'can', 'be', 'explained', 'by', 'the', 'presence', 'of', 'a', 'weak', 'magnetic', 'field', 'methods', 'we', 'have', 'obtained', 'high', 'resolution', 'high', 'signaltonoise', 'ratio', 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710.058 | Primordial magnetic fields at preheating | Using lattice techniques we investigate the generation of long range
cosmological magnetic fields during a cold electroweak transition. We will show
how magnetic fields arise, during bubble collisions, in the form of magnetic
strings. We conjecture that these magnetic strings originate from the alignment
of magnetic dipoles associated with EW sphaleron-like configurations. We also
discuss the early thermalisation of photons and the turbulent behaviour of the
scalar fields after tachyonic preheating.
| hep-lat astro-ph hep-ph | using lattice techniques we investigate the generation of long range cosmological magnetic fields during a cold electroweak transition we will show how magnetic fields arise during bubble collisions in the form of magnetic strings we conjecture that these magnetic strings originate from the alignment of magnetic dipoles associated with ew sphaleronlike configurations we also discuss the early thermalisation of photons and the turbulent behaviour of the scalar fields after tachyonic preheating | [['using', 'lattice', 'techniques', 'we', 'investigate', 'the', 'generation', 'of', 'long', 'range', 'cosmological', 'magnetic', 'fields', 'during', 'a', 'cold', 'electroweak', 'transition', 'we', 'will', 'show', 'how', 'magnetic', 'fields', 'arise', 'during', 'bubble', 'collisions', 'in', 'the', 'form', 'of', 'magnetic', 'strings', 'we', 'conjecture', 'that', 'these', 'magnetic', 'strings', 'originate', 'from', 'the', 'alignment', 'of', 'magnetic', 'dipoles', 'associated', 'with', 'ew', 'sphaleronlike', 'configurations', 'we', 'also', 'discuss', 'the', 'early', 'thermalisation', 'of', 'photons', 'and', 'the', 'turbulent', 'behaviour', 'of', 'the', 'scalar', 'fields', 'after', 'tachyonic', 'preheating']] | [-0.20650696450136077, 0.3133747116728148, -0.041063630786186585, 0.12483875341319912, -0.03826200274724356, -0.03360809214596807, -0.03581693411712915, 0.3965147052379981, -0.26446884362892786, -0.320957730825938, 0.034155689329105676, -0.2113372158401803, -0.0704887671081323, 0.14497646943889034, 0.08474273590082435, -0.03842573397150132, 0.03836595210981306, 0.006542476038382926, -0.04648719971645361, -0.25040724006494586, 0.35439245563498895, 0.036496660731155685, 0.22792896493272463, 0.0665548307899858, 0.04913414910133981, -0.036066470772657594, 0.029075911321060757, -0.008192780663744665, -0.15940520966568597, 0.00866890899077858, 0.13543641694139322, 0.0961437408982868, 0.18574983933547012, -0.5006039393409877, -0.20458782322271923, 0.14169307747317977, 0.17046209530983591, 0.19577117864383567, -0.09151055566428727, -0.2625593579518543, 0.04676048334648596, -0.11990410860785296, -0.1360520619085767, -0.0560680045844646, -0.047961429778066736, 0.020196574779463485, -0.2701736701353991, 0.11186813256944346, 0.027542331582263217, 0.06641907547272637, -0.09721055852485375, -0.017117250533643324, -0.03225738700138221, 0.03715167010307942, 0.16884837887892631, 0.051956816084525535, 0.20261632231913482, -0.2183834318297876, -0.1490484251145562, 0.3821227240940215, -0.09201669675284918, -0.04196368606472519, 0.1560711412047836, -0.19162913072119717, -0.1631229063823924, 0.164798794537258, 0.19093634447240285, 0.09538133437482929, -0.08635331716873801, 0.09858241931020453, 0.016115035389510677, 0.13035328266486315, 0.12405057743349125, 0.056777753067058574, 0.3532502298623743, 0.12289853640635248, -0.0685539214583245, 0.17999586021580116, -0.11835320450080244, -0.07274858533522822, -0.3466151721355781, -0.10355505843082784, -0.11099825959495256, 0.08190404773283173, -0.09090140282851152, -0.18702701208981828, 0.35173343568974713, 0.21502727020243315, 0.16842311647602579, -0.049118477351878256, 0.23483599240327596, 0.054472465855135044, 0.048880041629390816, 0.07333700572678321, 0.28974993523820236, 0.20133218661108068, 0.18333319537866283, -0.26494628411199583, -0.06893223310938813, 0.05117323155134496] |
710.0581 | Quark and lepton masses and mixing in SO(10) with a GUT-scale vector
matter | We explore in detail the effective matter fermion mass sum-rules in a class
of renormalizable SUSY SO(10) grand unified models where the quark and lepton
mass and mixing patterns originate from non-decoupling effects of an extra
vector matter multiplet living around the unification scale. If the
renormalizable type-II contribution governed by the SU(2)_L-triplet in 54_H
dominates the seesaw formula, we obtain an interesting correlation between the
maximality of the atmospheric neutrino mixing and the proximity of y_s/y_b to
V_cb in the quark sector.
| hep-ph | we explore in detail the effective matter fermion mass sumrules in a class of renormalizable susy so10 grand unified models where the quark and lepton mass and mixing patterns originate from nondecoupling effects of an extra vector matter multiplet living around the unification scale if the renormalizable typeii contribution governed by the su2_ltriplet in 54_h dominates the seesaw formula we obtain an interesting correlation between the maximality of the atmospheric neutrino mixing and the proximity of y_sy_b to v_cb in the quark sector | [['we', 'explore', 'in', 'detail', 'the', 'effective', 'matter', 'fermion', 'mass', 'sumrules', 'in', 'a', 'class', 'of', 'renormalizable', 'susy', 'so10', 'grand', 'unified', 'models', 'where', 'the', 'quark', 'and', 'lepton', 'mass', 'and', 'mixing', 'patterns', 'originate', 'from', 'nondecoupling', 'effects', 'of', 'an', 'extra', 'vector', 'matter', 'multiplet', 'living', 'around', 'the', 'unification', 'scale', 'if', 'the', 'renormalizable', 'typeii', 'contribution', 'governed', 'by', 'the', 'su2_ltriplet', 'in', '54_h', 'dominates', 'the', 'seesaw', 'formula', 'we', 'obtain', 'an', 'interesting', 'correlation', 'between', 'the', 'maximality', 'of', 'the', 'atmospheric', 'neutrino', 'mixing', 'and', 'the', 'proximity', 'of', 'y_sy_b', 'to', 'v_cb', 'in', 'the', 'quark', 'sector']] | [-0.09895981104743508, 0.30560834396086783, -0.016288461856453156, 0.23743879967709866, -0.07293623805659391, -0.15096070244624393, 0.054421595428366124, 0.2601180538171675, -0.21554431795119877, -0.2913825478086748, -0.011353581879719547, -0.2623155101588586, -0.08349512150602006, 0.04653967474019382, 0.03616923351897063, 0.004539913925194613, -0.0613440188448649, -0.016376904564023746, -0.11249264000301681, -0.194300770078127, 0.36052669280367655, 0.016235562325341672, 0.19472815885730996, 0.10201975308847046, 0.09404565320668243, -0.055270173479007874, -0.03693207317293144, -0.14331827966905222, -0.08722190197454993, 0.0698924599891165, 0.15151051669893537, 0.06046154455667952, 0.08960693085952322, -0.3661177727484667, -0.16368184301139013, 0.18104822745137825, 0.15290508583960374, 0.0709379471486389, -0.10420873544247049, -0.29617111945933683, 0.03466355132234351, -0.26165836838233036, -0.13737459550611675, -0.05934272862107652, -0.06464047844680708, -0.18428931514755253, -0.37028016554327997, 0.13169711968888495, -0.04912645856866885, 0.022470039690322265, 0.003031239742640315, -0.16660716857409058, -0.07492862085289345, 0.03317803534588254, 0.2237316629190634, -0.02595733608141905, 0.1525152400050812, -0.2531048582026326, -0.11206823052971897, 0.45679531223708536, -0.13177203275717614, -0.15486394514034435, 0.11958450087198488, -0.1672437592188078, -0.17058485480048124, 0.08462542502164114, 0.17975998968567428, 0.07172198252888715, -0.19302551659028522, 0.22736368177063968, -0.12488717453202187, 0.12178414614825714, 0.053400291641038364, 0.06317628716919343, 0.3362715536410489, 0.20946341630911863, 0.022303103298948305, -0.007250082883529547, -0.05349665879635367, -0.11919323961454921, -0.437667429810617, -0.086089878808707, -0.09084291495496362, 0.0542951244179432, -0.11890011247749321, -0.12853861666602515, 0.4408003741626688, 0.15753752340721647, 0.19869610066412063, 0.0123032085461224, 0.22767982684166693, 0.0652971199093239, 0.13574074080963505, 0.027988150840761457, 0.2964073950879094, 0.18115412907549974, 0.09889172441993341, -0.31156753503615264, -0.06578229903811361, 0.15251148166134953] |
710.0582 | Quantum Spin Hall Insulator State in HgTe Quantum Wells | Recent theory predicted that the Quantum Spin Hall Effect, a fundamentally
novel quantum state of matter that exists at zero external magnetic field, may
be realized in HgTe/(Hg,Cd)Te quantum wells. We have fabricated such sample
structures with low density and high mobility in which we can tune, through an
external gate voltage, the carrier conduction from n-type to the p-type,
passing through an insulating regime. For thin quantum wells with well width d
< 6.3 nm, the insulating regime shows the conventional behavior of vanishingly
small conductance at low temperature. However, for thicker quantum wells (d >
6.3 nm), the nominally insulating regime shows a plateau of residual
conductance close to 2e^2/h. The residual conductance is independent of the
sample width, indicating that it is caused by edge states. Furthermore, the
residual conductance is destroyed by a small external magnetic field. The
quantum phase transition at the critical thickness, d = 6.3 nm, is also
independently determined from the magnetic field induced insulator to metal
transition. These observations provide experimental evidence of the quantum
spin Hall effect.
| cond-mat.mes-hall | recent theory predicted that the quantum spin hall effect a fundamentally novel quantum state of matter that exists at zero external magnetic field may be realized in hgtehgcdte quantum wells we have fabricated such sample structures with low density and high mobility in which we can tune through an external gate voltage the carrier conduction from ntype to the ptype passing through an insulating regime for thin quantum wells with well width d 63 nm the insulating regime shows the conventional behavior of vanishingly small conductance at low temperature however for thicker quantum wells d 63 nm the nominally insulating regime shows a plateau of residual conductance close to 2e2h the residual conductance is independent of the sample width indicating that it is caused by edge states furthermore the residual conductance is destroyed by a small external magnetic field the quantum phase transition at the critical thickness d 63 nm is also independently determined from the magnetic field induced insulator to metal transition these observations provide experimental evidence of the quantum spin hall effect | [['recent', 'theory', 'predicted', 'that', 'the', 'quantum', 'spin', 'hall', 'effect', 'a', 'fundamentally', 'novel', 'quantum', 'state', 'of', 'matter', 'that', 'exists', 'at', 'zero', 'external', 'magnetic', 'field', 'may', 'be', 'realized', 'in', 'hgtehgcdte', 'quantum', 'wells', 'we', 'have', 'fabricated', 'such', 'sample', 'structures', 'with', 'low', 'density', 'and', 'high', 'mobility', 'in', 'which', 'we', 'can', 'tune', 'through', 'an', 'external', 'gate', 'voltage', 'the', 'carrier', 'conduction', 'from', 'ntype', 'to', 'the', 'ptype', 'passing', 'through', 'an', 'insulating', 'regime', 'for', 'thin', 'quantum', 'wells', 'with', 'well', 'width', 'd', '63', 'nm', 'the', 'insulating', 'regime', 'shows', 'the', 'conventional', 'behavior', 'of', 'vanishingly', 'small', 'conductance', 'at', 'low', 'temperature', 'however', 'for', 'thicker', 'quantum', 'wells', 'd', '63', 'nm', 'the', 'nominally', 'insulating', 'regime', 'shows', 'a', 'plateau', 'of', 'residual', 'conductance', 'close', 'to', '2e2h', 'the', 'residual', 'conductance', 'is', 'independent', 'of', 'the', 'sample', 'width', 'indicating', 'that', 'it', 'is', 'caused', 'by', 'edge', 'states', 'furthermore', 'the', 'residual', 'conductance', 'is', 'destroyed', 'by', 'a', 'small', 'external', 'magnetic', 'field', 'the', 'quantum', 'phase', 'transition', 'at', 'the', 'critical', 'thickness', 'd', '63', 'nm', 'is', 'also', 'independently', 'determined', 'from', 'the', 'magnetic', 'field', 'induced', 'insulator', 'to', 'metal', 'transition', 'these', 'observations', 'provide', 'experimental', 'evidence', 'of', 'the', 'quantum', 'spin', 'hall', 'effect']] | [-0.18097573298768238, 0.2717414441769046, -0.03625656929584327, -0.0274481732965629, 0.028713095459508998, -0.23142386630081155, 0.09494153011373468, 0.38341278785133154, -0.27893726516183165, -0.34232496181181793, -0.018491089762852197, -0.30078034688472405, -0.12357708612649605, 0.18980411840495706, 0.009230096461840144, 0.026677922945169883, -0.03616791484401101, -0.04712596144269611, -0.0762647371913103, -0.20205731241396446, 0.25329245764751457, 0.024456425038053942, 0.3298467930898755, 0.097205142792978, 0.0354937420831458, -0.04721442479559959, 0.15186984897002406, 0.06500764796777961, -0.14209410971992859, -0.0425535591239586, 0.2536881092976613, -0.15491589774942494, 0.21225887482943034, -0.4438014928696927, -0.1832479526631363, -0.014945716677426264, 0.1320702218391729, 0.17308702611500912, -0.07974082326794836, -0.3175978703135303, 0.10905609117157158, -0.12388239099628068, -0.10748326010739795, -0.0192635539994741, 0.029993969748892565, -0.09977267649835618, -0.2369435835009489, 0.11233691630691649, 0.05467655721064336, 0.09724448869625728, -0.035344117422770154, -0.12899182856232785, -0.06266078470815402, 0.06747358778090853, -0.009214552542216134, 0.05945794287287555, 0.24558413627921422, -0.1409070096814994, -0.1164779451263576, 0.2740768915598934, -0.08706340908030069, -0.04836215743953603, 0.15779622932681922, -0.21345023283649278, 0.0011561635143027224, 0.19553678567205482, 0.08371430804589014, 0.06375602156127236, -0.07238070629858251, 0.10950295512307563, 0.0036184630007483065, 0.18749540783839577, 0.04311877661170545, 0.10698915871620264, 0.30250074672405664, 0.15733412645714379, 0.051273892784823034, 0.15102352074483924, -0.18048941198436694, -0.05578622950144626, -0.24306667106354546, -0.1573366724910086, -0.25144819698521287, 0.15074852228849783, -0.08361734757352093, -0.20923086473097405, 0.35701607588689305, 0.15286506490913038, 0.19735847017593983, -0.03886411782158753, 0.27176682271488845, 0.17525148869160262, 0.07104364674452734, 0.053457575914417875, 0.2619847791515633, 0.21568770822533673, 0.11595965606997113, -0.2946328106068674, 0.0837699009203245, -0.05051052675785861] |
710.0583 | The SF running coupling with four flavours of staggered quarks | In order to study the running coupling in four-flavour QCD, we review the
set-up of the Schr\"odinger functional (SF) with staggered quarks. Staggered
quarks require lattices which, in the usual counting, have even spatial lattice
extent $L/a$ while the time extent $T/a$ must be odd. Setting $T=L$ is
therefore only possible up to ${\rm O}(a)$, which introduces different cutoff
effects already in the pure gauge theory. We re-define the SF such as to cope
with this situation and determine the corresponding classical background field.
A perturbative calculation yields the coefficient of the pure gauge ${\rm
O}(a)$ boundary counterterm to one-loop order.
| hep-lat | in order to study the running coupling in fourflavour qcd we review the setup of the schrodinger functional sf with staggered quarks staggered quarks require lattices which in the usual counting have even spatial lattice extent la while the time extent ta must be odd setting tl is therefore only possible up to rm oa which introduces different cutoff effects already in the pure gauge theory we redefine the sf such as to cope with this situation and determine the corresponding classical background field a perturbative calculation yields the coefficient of the pure gauge rm oa boundary counterterm to oneloop order | [['in', 'order', 'to', 'study', 'the', 'running', 'coupling', 'in', 'fourflavour', 'qcd', 'we', 'review', 'the', 'setup', 'of', 'the', 'schrodinger', 'functional', 'sf', 'with', 'staggered', 'quarks', 'staggered', 'quarks', 'require', 'lattices', 'which', 'in', 'the', 'usual', 'counting', 'have', 'even', 'spatial', 'lattice', 'extent', 'la', 'while', 'the', 'time', 'extent', 'ta', 'must', 'be', 'odd', 'setting', 'tl', 'is', 'therefore', 'only', 'possible', 'up', 'to', 'rm', 'oa', 'which', 'introduces', 'different', 'cutoff', 'effects', 'already', 'in', 'the', 'pure', 'gauge', 'theory', 'we', 'redefine', 'the', 'sf', 'such', 'as', 'to', 'cope', 'with', 'this', 'situation', 'and', 'determine', 'the', 'corresponding', 'classical', 'background', 'field', 'a', 'perturbative', 'calculation', 'yields', 'the', 'coefficient', 'of', 'the', 'pure', 'gauge', 'rm', 'oa', 'boundary', 'counterterm', 'to', 'oneloop', 'order']] | [-0.10422586025854591, 0.20848604794568612, -0.06732084284914602, 0.0799922882579267, -0.07812027125573247, -0.11538508274859868, 0.03375071613924891, 0.3898715388841263, -0.20391689158865425, -0.2798071551035241, 0.05480012614487458, -0.2661591691730341, -0.04750650491344162, 0.049119763334493825, -0.004537796080665718, 0.029867234541273834, -0.02301511104393861, 0.0455884700641036, -0.10429491994655829, -0.27434679799906836, 0.3083424081721592, 0.029161944409076233, 0.2663745673760624, 0.10009941082945702, 0.018600365726765947, 0.00506201011386912, -0.04417015326734964, -0.0006346307316850318, -0.10626962185274846, 0.05310096640582427, 0.21928720191895668, -0.016280529986375983, 0.17234058137798663, -0.4127617181638385, -0.20173425040217025, 0.08473162305550558, 0.13037248139297314, 0.1375802617593862, 0.025820029546774113, -0.23265128320839146, 0.08555620994492627, -0.20133678855704107, -0.16347712910697232, -0.10422247125177027, -0.045884617082175276, -0.08864640720974709, -0.2985469782448346, 0.07023647433091508, 0.004061071879903574, 0.055149329236090776, 0.033917334188919256, -0.13110724370926619, -0.011617250758970138, 0.09076456596560795, 0.09838568327468958, 0.12152436116737968, 0.057831779315993925, -0.16891649401963385, -0.13409691442744714, 0.4347516765845663, -0.09914180130402714, -0.1991862914003985, 0.16441165624038862, -0.18582540209229925, -0.13918910940906198, 0.09547441698020638, 0.12552069143926964, 0.10548417717402819, -0.14558147294631246, 0.171199902574564, -0.004923445042361053, 0.19994149784013482, 0.09820734215254831, 0.06005215865679749, 0.138318274004182, 0.11343130167333944, 0.07100171150206265, 0.08543549590896225, -0.01540974839037229, -0.11704876255486069, -0.3509719017063185, -0.11719490482591756, -0.104319344758803, 0.10012468996706723, -0.113552956569722, -0.17573809549834873, 0.35830090512143503, 0.17975841171862003, 0.1354250432370175, 0.020842685394155066, 0.23763264732269368, 0.1496479649011433, 0.128961899917167, 0.03596499820279031, 0.21972813300147542, 0.13411773903535143, 0.10953668169538942, -0.3014075125908793, -0.06771602497279348, 0.13461768815044942] |
710.0584 | Exotic physics with ultrahigh energy cosmic rays | Ultrahigh energy cosmic rays provide a unique ground for probing new physics.
In this talk we review the possibility of testing TeV gravity in interactions
of cosmogenic neutrinos and the potential to discover long-lived exotic
particles in nucleon-produced air showers, such as gluinos of split-SUSY models
or staus of supersymmetric models with a gravitino LSP.
| hep-ph | ultrahigh energy cosmic rays provide a unique ground for probing new physics in this talk we review the possibility of testing tev gravity in interactions of cosmogenic neutrinos and the potential to discover longlived exotic particles in nucleonproduced air showers such as gluinos of splitsusy models or staus of supersymmetric models with a gravitino lsp | [['ultrahigh', 'energy', 'cosmic', 'rays', 'provide', 'a', 'unique', 'ground', 'for', 'probing', 'new', 'physics', 'in', 'this', 'talk', 'we', 'review', 'the', 'possibility', 'of', 'testing', 'tev', 'gravity', 'in', 'interactions', 'of', 'cosmogenic', 'neutrinos', 'and', 'the', 'potential', 'to', 'discover', 'longlived', 'exotic', 'particles', 'in', 'nucleonproduced', 'air', 'showers', 'such', 'as', 'gluinos', 'of', 'splitsusy', 'models', 'or', 'staus', 'of', 'supersymmetric', 'models', 'with', 'a', 'gravitino', 'lsp']] | [-0.08960561526732312, 0.36294360153584015, -0.055724822619662585, 0.2686655484032127, -0.06512293868042805, -0.13457022326205065, -0.011008074144936271, 0.3188344854861498, -0.2047485445401873, -0.4063785201007569, -0.0024841615307162066, -0.31091062628008703, 0.024146430207312934, 0.12707638433116866, 0.04364563849823618, 0.049612580298411625, 0.12922496434853034, -0.029704120358844562, 0.006883765570819378, -0.1910039314793216, 0.2380010688384236, 0.13904721327815894, 0.1606107228435576, 0.14181322553539993, 0.08189418677378583, -0.05341649963951635, -0.01187583289316131, -0.1332478252136045, -0.12378422231240957, 0.11475110265719532, 0.22198767181557574, 0.13380318600684404, 0.09120035864826706, -0.4199313430322541, -0.25917068667088944, 0.24012433811677275, 0.15693239904336492, 0.0895240097479136, -0.17394224365448785, -0.36743002102054934, 0.06512373577182491, -0.22743393298824904, -0.15622638600567976, -0.02031991693743125, -0.08339446917590168, -0.08409273976253138, -0.21438554439831664, 0.07319877338940622, -0.08843937833552007, 0.015769287426438596, -0.03940634743345005, -0.14450836119121285, 0.013578156768171876, -0.01761880185437837, 0.2010238803319495, -0.06298514728054956, 0.16945667783039864, -0.25499065178532704, -0.211347736099183, 0.4393426850438118, -0.11740203167277354, -0.11086808292505641, 0.2387425828276685, -0.1263195677160251, -0.20846221373519963, 0.17175975614399822, 0.2582197791241385, 0.10934521877034395, -0.20354277669900545, 0.16873295950009143, 0.011910161486378423, 0.1275355676189065, 0.05678462309555875, 0.08615332114061823, 0.3855775284960314, 0.2931942241611304, 0.09635370222989607, 0.040044015273451805, -0.09265426654558352, 0.04605547570692444, -0.4067834939945627, -0.1809698473834605, -0.0798302643277027, 0.09940396028536337, -0.03353691844380659, -0.15708446726892833, 0.43830890484430174, 0.1474090106440363, 0.15458229867120585, -0.023246020233879488, 0.26561447895235485, -0.0790980429479128, -0.025882486642027896, 0.027213472189571434, 0.3523609961245071, 0.08711837669317093, 0.12866519646356916, -0.17501795510933907, -0.08148045749058602, 0.03274245291982812] |
710.0585 | Dancing with black holes | We describe efforts over the last six years to implement regularization
methods suitable for studying one or more interacting black holes by direct
N-body simulations. Three different methods have been adapted to large-N
systems: (i) Time-Transformed Leapfrog, (ii) Wheel-Spoke, and (iii) Algorithmic
Regularization. These methods have been tried out with some success on
GRAPE-type computers. Special emphasis has also been devoted to including
post-Newtonian terms, with application to moderately massive black holes in
stellar clusters. Some examples of simulations leading to coalescence by
gravitational radiation will be presented to illustrate the practical
usefulness of such methods.
| astro-ph | we describe efforts over the last six years to implement regularization methods suitable for studying one or more interacting black holes by direct nbody simulations three different methods have been adapted to largen systems i timetransformed leapfrog ii wheelspoke and iii algorithmic regularization these methods have been tried out with some success on grapetype computers special emphasis has also been devoted to including postnewtonian terms with application to moderately massive black holes in stellar clusters some examples of simulations leading to coalescence by gravitational radiation will be presented to illustrate the practical usefulness of such methods | [['we', 'describe', 'efforts', 'over', 'the', 'last', 'six', 'years', 'to', 'implement', 'regularization', 'methods', 'suitable', 'for', 'studying', 'one', 'or', 'more', 'interacting', 'black', 'holes', 'by', 'direct', 'nbody', 'simulations', 'three', 'different', 'methods', 'have', 'been', 'adapted', 'to', 'largen', 'systems', 'i', 'timetransformed', 'leapfrog', 'ii', 'wheelspoke', 'and', 'iii', 'algorithmic', 'regularization', 'these', 'methods', 'have', 'been', 'tried', 'out', 'with', 'some', 'success', 'on', 'grapetype', 'computers', 'special', 'emphasis', 'has', 'also', 'been', 'devoted', 'to', 'including', 'postnewtonian', 'terms', 'with', 'application', 'to', 'moderately', 'massive', 'black', 'holes', 'in', 'stellar', 'clusters', 'some', 'examples', 'of', 'simulations', 'leading', 'to', 'coalescence', 'by', 'gravitational', 'radiation', 'will', 'be', 'presented', 'to', 'illustrate', 'the', 'practical', 'usefulness', 'of', 'such', 'methods']] | [-0.0598623465308226, 0.01202987759631682, -0.06817237798996428, 0.10500794705597961, -0.0971685760689186, -0.15778568508896104, -0.03084099624167256, 0.41782555346714056, -0.1436159243569412, -0.3260493350433225, 0.1386204204024212, -0.27956576712994263, -0.1341931227659014, 0.25750520356009376, -0.05138298855262234, 0.10401127606808663, 0.08357498182003643, -0.014799266793527343, -0.1206668057488872, -0.3537170041681941, 0.3275288618070648, 0.07949419010014451, 0.1835626903128751, -0.003919877795542174, 0.05224564774556363, -0.06403770120418135, -0.08220810936070344, 0.050847161729681366, -0.15645036489474884, 0.0825614782001952, 0.2690546553621584, 0.1351519417627021, 0.3418528961929235, -0.4659063275507156, -0.25569831417437566, 0.0891284817294713, 0.2067213503624055, 0.16376647284809262, -0.10241153241247261, -0.2754118550529188, 0.08334888262114429, -0.2669128497785076, -0.1207959195499883, -0.14962254060021146, 0.04696418235989961, 0.03686970042342201, -0.17622891689422837, 0.004838238358485235, -0.004354038904916415, 0.006919250016080889, -0.002508817636903296, -0.1317534972418179, 0.041312776283024155, 0.10160147448248685, 0.11289889534856094, -0.014367147036729025, 0.11359537674728384, -0.08568534026160202, -0.17717649529073784, 0.39884807785695536, -0.01368432850676014, -0.18500855024606783, 0.2902215685016733, -0.1290016863668496, -0.19640471999771258, 0.1267338918405585, 0.1985164267763971, 0.15925700912447746, -0.17183537677827074, 0.10044357938471528, 0.0673701527300588, 0.10219617009638472, 0.08442403226744066, 0.02038694369765197, 0.2746924813861582, 0.16703179918546626, -0.022893889817072355, 0.10281234453407492, -0.06819089334408575, -0.12319462527421877, -0.20790876155877683, -0.09808466028536056, -0.13982914772845725, 0.049727193219834896, -0.09743839523961217, -0.11187123926851819, 0.3356437217146951, 0.17893010367976225, 0.1138843768375351, 0.008310267768621921, 0.2975022460751519, 0.07263303562092219, 0.08583282459864115, 0.04769198150631595, 0.29560447321830696, 0.15317222162922647, 0.0827866579353948, -0.18506991282660276, -0.01739917723263832, 0.08755159635001426] |
710.0586 | Strict essential extensions of C*-algebras and Hilbert C*-modules | In the present paper we develop both ideas of D. Baki\'c and B. Gulja{\v{s}}
and the categorical approach to multipliers from E.C. Lance's book and
publications of the second author, for the introduction and study of left
multipliers of Hilbert $C^*$-modules. Some properties and, in particular, the
property of maximality among all strictly essential extensions of a Hilbert
$C^*$-module for left multipliers are proved. Also relations between left
essential and left strictly essential extensions in different contexts are
obtained. Left essential and left strictly essential extensions of matrix
algebras are considered. In the final paragraph the topological approach to the
left multiplier theory of Hilbert $C^*$-modules is worked out.
| math.OA | in the present paper we develop both ideas of d bakic and b guljavs and the categorical approach to multipliers from ec lances book and publications of the second author for the introduction and study of left multipliers of hilbert cmodules some properties and in particular the property of maximality among all strictly essential extensions of a hilbert cmodule for left multipliers are proved also relations between left essential and left strictly essential extensions in different contexts are obtained left essential and left strictly essential extensions of matrix algebras are considered in the final paragraph the topological approach to the left multiplier theory of hilbert cmodules is worked out | [['in', 'the', 'present', 'paper', 'we', 'develop', 'both', 'ideas', 'of', 'd', 'bakic', 'and', 'b', 'guljavs', 'and', 'the', 'categorical', 'approach', 'to', 'multipliers', 'from', 'ec', 'lances', 'book', 'and', 'publications', 'of', 'the', 'second', 'author', 'for', 'the', 'introduction', 'and', 'study', 'of', 'left', 'multipliers', 'of', 'hilbert', 'cmodules', 'some', 'properties', 'and', 'in', 'particular', 'the', 'property', 'of', 'maximality', 'among', 'all', 'strictly', 'essential', 'extensions', 'of', 'a', 'hilbert', 'cmodule', 'for', 'left', 'multipliers', 'are', 'proved', 'also', 'relations', 'between', 'left', 'essential', 'and', 'left', 'strictly', 'essential', 'extensions', 'in', 'different', 'contexts', 'are', 'obtained', 'left', 'essential', 'and', 'left', 'strictly', 'essential', 'extensions', 'of', 'matrix', 'algebras', 'are', 'considered', 'in', 'the', 'final', 'paragraph', 'the', 'topological', 'approach', 'to', 'the', 'left', 'multiplier', 'theory', 'of', 'hilbert', 'cmodules', 'is', 'worked', 'out']] | [-0.09074106962092358, 0.09627049512885234, -0.04297282082390868, 0.0888355005051751, -0.04947828712519603, -0.1756012736155686, -0.04510719104695858, 0.3406157934503561, -0.33111383546902623, -0.16992318623319821, 0.12620223276058418, -0.2860718328667173, -0.13967279168018312, 0.18560413128041006, -0.1035823499939094, 0.03826873627905217, 0.005358806630182598, 0.085362342496713, -0.09922050794638279, -0.27038631612366, 0.38293031846707754, 0.0034338227080836616, 0.1961087908130139, 0.07722050872959059, 0.08281957690188493, 0.02452094172541466, -0.11057963435262165, -0.040924416048693714, -0.1411852419152166, 0.1647491902350103, 0.3012945998408314, 0.12105669364488374, 0.304388332353146, -0.412638955016586, -0.09519259675289504, 0.12372582667955646, 0.1556123673648539, -0.07584725585938604, -0.029161654093682213, -0.3152585116180557, 0.10467035754549282, -0.17781253029695815, -0.07888582806723814, -0.10582554581169798, 0.07801168847341884, -0.011958295815727778, -0.24292773530922002, 0.041008875297578656, 0.16550160549512064, 0.08756501949392259, -0.10591876858557549, -0.13631225598941524, -0.025282533684124548, 0.10482556370293929, 0.02225152419285021, -0.018075525573092617, 0.05830287590571162, -0.06314569624158105, -0.12389871094880316, 0.34914751071482897, -0.0010058507910731282, -0.23415716834090375, 0.14744001330971648, -0.17776183448667224, -0.11342753676688988, -0.0011940801352331484, 0.05837087018773201, 0.1339637406291095, -0.11475287602472774, 0.2048122793079259, -0.09527800022624433, 0.056160486691320934, 0.09580302719216517, 0.08855208787092662, 0.10740567933492086, 0.08103994773140315, 0.08772202646704735, 0.09345407369821462, 0.03056326992292371, -0.07082761847198492, -0.36936788387700087, -0.21682622781264838, -0.08855291519042414, 0.01158263695564259, -0.016420799034946226, -0.14734426048515295, 0.4510799544966883, 0.16565190045232023, 0.16307344425567188, 0.032524320973876725, 0.23262042038280656, 0.03999568717726679, 0.03344259326587672, 0.05204266260153855, 0.13416723207127587, 0.25386453457004216, 0.06587601715215931, -0.11336734545383714, 0.00039839984728368345, 0.19935967303226115] |
710.0587 | Single top-quark production by strong and electroweak supersymmetric
flavor-changing interactions at the LHC | (Abridged) We report on a complete study of the single top-quark production
by direct supersymmetric flavor-changing neutral-current (FCNC) processes at
the LHC. The total cross section for pp(gg)->t\bar{c}+\bar{t}c is computed at
the 1-loop order within the unconstrained Minimal Supersymmetric Standard Model
(MSSM). The present study extends the results of the supersymmetric strong
effects (SUSY-QCD), which were advanced by some of us in a previous work, and
includes the computation of the full supersymmetric electroweak corrections
(SUSY-EW). Our analysis of pp(gg)->t\bar{c}+\bar{t}c in the MSSM has been
performed in correspondence with the stringent low-energy constraints from b->s
gamma. In the most favorable scenarios, the SUSY-QCD contribution can give rise
to production rates of around 10^5 events per 100 fb^{-1} of integrated
luminosity. Furthermore, we show that there exist regions of the MSSM parameter
space where the SUSY-EW correction becomes sizeable. In the SUSY-EW favored
regions, one obtains lower, but still appreciable, event production rates that
can reach the 10^3 level for the same range of integrated luminosity. We study
also the possible reduction in the maximum event rate obtained from the full
MSSM contribution if we additionally include the constraints from
B^0_s-\bar{B}^0_s. In view of the fact that the FCNC production of heavy quark
pairs of different flavors is extremely suppressed in the SM, the detection of
a significant number of these events could lead to evidence of new physics --
of likely supersymmetric origin.
| hep-ph | abridged we report on a complete study of the single topquark production by direct supersymmetric flavorchanging neutralcurrent fcnc processes at the lhc the total cross section for ppggtbarcbartc is computed at the 1loop order within the unconstrained minimal supersymmetric standard model mssm the present study extends the results of the supersymmetric strong effects susyqcd which were advanced by some of us in a previous work and includes the computation of the full supersymmetric electroweak corrections susyew our analysis of ppggtbarcbartc in the mssm has been performed in correspondence with the stringent lowenergy constraints from bs gamma in the most favorable scenarios the susyqcd contribution can give rise to production rates of around 105 events per 100 fb1 of integrated luminosity furthermore we show that there exist regions of the mssm parameter space where the susyew correction becomes sizeable in the susyew favored regions one obtains lower but still appreciable event production rates that can reach the 103 level for the same range of integrated luminosity we study also the possible reduction in the maximum event rate obtained from the full mssm contribution if we additionally include the constraints from b0_sbarb0_s in view of the fact that the fcnc production of heavy quark pairs of different flavors is extremely suppressed in the sm the detection of a significant number of these events could lead to evidence of new physics of likely supersymmetric origin | [['abridged', 'we', 'report', 'on', 'a', 'complete', 'study', 'of', 'the', 'single', 'topquark', 'production', 'by', 'direct', 'supersymmetric', 'flavorchanging', 'neutralcurrent', 'fcnc', 'processes', 'at', 'the', 'lhc', 'the', 'total', 'cross', 'section', 'for', 'ppggtbarcbartc', 'is', 'computed', 'at', 'the', '1loop', 'order', 'within', 'the', 'unconstrained', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'the', 'present', 'study', 'extends', 'the', 'results', 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710.0588 | On the Fraction of Quasars with Outflows | Outflows from active galactic nuclei (AGNs) seem to be common and are thought
to be important from a variety of perspectives: as an agent of chemical
enhancement of the interstellar and intergalactic media, as an agent of angular
momentum removal from the accreting central engine, and as an agent limiting
star formation in starbursting systems by blowing out gas and dust from the
host galaxy. To understand these processes, we must determine what fraction of
AGNs feature outflows and understand what forms they take. We examine recent
surveys of quasar absorption lines, reviewing the best means to determine if
systems are intrinsic and result from outflowing material, and the limitations
of approaches taken to date. The surveys reveal that, while the fraction of
specific forms of outflows depends on AGN properties, the overall fraction
displaying outflows is fairly constant, approximately 60%, over many orders of
magnitude in luminosity. We emphasize some issues concerning classification of
outflows driven by data type rather than necessarily the physical nature of
outflows, and illustrate how understanding outflows probably requires more a
comprehensive approach than has usually been taken in the past.
| astro-ph | outflows from active galactic nuclei agns seem to be common and are thought to be important from a variety of perspectives as an agent of chemical enhancement of the interstellar and intergalactic media as an agent of angular momentum removal from the accreting central engine and as an agent limiting star formation in starbursting systems by blowing out gas and dust from the host galaxy to understand these processes we must determine what fraction of agns feature outflows and understand what forms they take we examine recent surveys of quasar absorption lines reviewing the best means to determine if systems are intrinsic and result from outflowing material and the limitations of approaches taken to date the surveys reveal that while the fraction of specific forms of outflows depends on agn properties the overall fraction displaying outflows is fairly constant approximately 60 over many orders of magnitude in luminosity we emphasize some issues concerning classification of outflows driven by data type rather than necessarily the physical nature of outflows and illustrate how understanding outflows probably requires more a comprehensive approach than has usually been taken in the past | [['outflows', 'from', 'active', 'galactic', 'nuclei', 'agns', 'seem', 'to', 'be', 'common', 'and', 'are', 'thought', 'to', 'be', 'important', 'from', 'a', 'variety', 'of', 'perspectives', 'as', 'an', 'agent', 'of', 'chemical', 'enhancement', 'of', 'the', 'interstellar', 'and', 'intergalactic', 'media', 'as', 'an', 'agent', 'of', 'angular', 'momentum', 'removal', 'from', 'the', 'accreting', 'central', 'engine', 'and', 'as', 'an', 'agent', 'limiting', 'star', 'formation', 'in', 'starbursting', 'systems', 'by', 'blowing', 'out', 'gas', 'and', 'dust', 'from', 'the', 'host', 'galaxy', 'to', 'understand', 'these', 'processes', 'we', 'must', 'determine', 'what', 'fraction', 'of', 'agns', 'feature', 'outflows', 'and', 'understand', 'what', 'forms', 'they', 'take', 'we', 'examine', 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710.0589 | The Lopsidedness of Present-Day Galaxies: Results from the Sloan Digital
Sky Survey | Large-scale asymmetries in the stellar mass distribution in galaxies are
believed to trace non-equilibrium situations in the luminous and/or dark matter
component. These may arise in the aftermath of events like mergers, accretion,
and tidal interactions. These events are key in the evolution of galaxies. In
this paper we quantify the large-scale lopsidedness of light distributions in
25155 galaxies at z < 0.06 from the Sloan Digital Sky Survey Data Release 4
using the m = 1 azimuthal Fourier mode. We show that the lopsided distribution
of light is primarily due to a corresponding lopsidedness in the stellar mass
distribution. Observational effects, such as seeing, Poisson noise, and
inclination, introduce only small errors in lopsidedness for the majority of
this sample. We find that lopsidedness correlates strongly with other basic
galaxy structural parameters: galaxies with low concentration, stellar mass,
and stellar surface mass density tend to be lopsided, while galaxies with high
concentration, mass, and density are not. We find that the strongest and most
fundamental relationship between lopsidedness and the other structural
parameters is with the surface mass density. We also find, in agreement with
previous studies, that lopsidedness tends to increase with radius. Both these
results may be understood as a consequence of several factors. The outer
regions of galaxies and low-density galaxies are more susceptible to tidal
perturbations, and they also have longer dynamical times (so lopsidedness will
last longer). They are also more likely to be affected by any underlying
asymmetries in the dark matter halo.
| astro-ph | largescale asymmetries in the stellar mass distribution in galaxies are believed to trace nonequilibrium situations in the luminous andor dark matter component these may arise in the aftermath of events like mergers accretion and tidal interactions these events are key in the evolution of galaxies in this paper we quantify the largescale lopsidedness of light distributions in 25155 galaxies at z 006 from the sloan digital sky survey data release 4 using the m 1 azimuthal fourier mode we show that the lopsided distribution of light is primarily due to a corresponding lopsidedness in the stellar mass distribution observational effects such as seeing poisson noise and inclination introduce only small errors in lopsidedness for the majority of this sample we find that lopsidedness correlates strongly with other basic galaxy structural parameters galaxies with low concentration stellar mass and stellar surface mass density tend to be lopsided while galaxies with high concentration mass and density are not we find that the strongest and most fundamental relationship between lopsidedness and the other structural parameters is with the surface mass density we also find in agreement with previous studies that lopsidedness tends to increase with radius both these results may be understood as a consequence of several factors the outer regions of galaxies and lowdensity galaxies are more susceptible to tidal perturbations and they also have longer dynamical times so lopsidedness will last longer they are also more likely to be affected by any underlying asymmetries in the dark matter halo | [['largescale', 'asymmetries', 'in', 'the', 'stellar', 'mass', 'distribution', 'in', 'galaxies', 'are', 'believed', 'to', 'trace', 'nonequilibrium', 'situations', 'in', 'the', 'luminous', 'andor', 'dark', 'matter', 'component', 'these', 'may', 'arise', 'in', 'the', 'aftermath', 'of', 'events', 'like', 'mergers', 'accretion', 'and', 'tidal', 'interactions', 'these', 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710.059 | Speed of Meridional Flows and Magnetic Flux Transport on the Sun | We use the magnetic butterfly diagram to determine the speed of the magnetic
flux transport on the solar surface towards the poles. The manifestation of the
flux transport is clearly visible as elongated structures extended from the
sunspot belt to the polar regions. The slopes of these structures are measured
and interpreted as meridional magnetic flux transport speed. Comparison with
the time-distance helioseismology measurements of the mean speed of the
meridional flows at the depth of 3.5--12 Mm shows a generally good agreement,
but the speeds of the flux transport and the meridional flow are significantly
different in areas occupied by the magnetic field. The local circulation flows
around active regions, especially the strong equatorward flows on the
equatorial side of active regions affect the mean velocity profile derived by
helioseismology, but do not influence the magnetic flux transport. The results
show that the mean longitudinally averaged meridional flow measurements by
helioseismology may not be used directly in solar dynamo models for describing
the magnetic flux transport, and that it is necessary to take into account the
longitudinal structure of these flows.
| astro-ph | we use the magnetic butterfly diagram to determine the speed of the magnetic flux transport on the solar surface towards the poles the manifestation of the flux transport is clearly visible as elongated structures extended from the sunspot belt to the polar regions the slopes of these structures are measured and interpreted as meridional magnetic flux transport speed comparison with the timedistance helioseismology measurements of the mean speed of the meridional flows at the depth of 3512 mm shows a generally good agreement but the speeds of the flux transport and the meridional flow are significantly different in areas occupied by the magnetic field the local circulation flows around active regions especially the strong equatorward flows on the equatorial side of active regions affect the mean velocity profile derived by helioseismology but do not influence the magnetic flux transport the results show that the mean longitudinally averaged meridional flow measurements by helioseismology may not be used directly in solar dynamo models for describing the magnetic flux transport and that it is necessary to take into account the longitudinal structure of these flows | [['we', 'use', 'the', 'magnetic', 'butterfly', 'diagram', 'to', 'determine', 'the', 'speed', 'of', 'the', 'magnetic', 'flux', 'transport', 'on', 'the', 'solar', 'surface', 'towards', 'the', 'poles', 'the', 'manifestation', 'of', 'the', 'flux', 'transport', 'is', 'clearly', 'visible', 'as', 'elongated', 'structures', 'extended', 'from', 'the', 'sunspot', 'belt', 'to', 'the', 'polar', 'regions', 'the', 'slopes', 'of', 'these', 'structures', 'are', 'measured', 'and', 'interpreted', 'as', 'meridional', 'magnetic', 'flux', 'transport', 'speed', 'comparison', 'with', 'the', 'timedistance', 'helioseismology', 'measurements', 'of', 'the', 'mean', 'speed', 'of', 'the', 'meridional', 'flows', 'at', 'the', 'depth', 'of', '3512', 'mm', 'shows', 'a', 'generally', 'good', 'agreement', 'but', 'the', 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710.0591 | Fully Sampled Maps of Ices and Silicates in Front of Cepheus A East with
Spitzer | We report the first fully sampled maps of the distribution of interstellar
CO2 ices, H2O ices and total hydrogen nuclei, as inferred from the 9.7 micron
silicate feature, toward the star-forming region Cepheus A East with the IRS
instrument onboard the Spitzer Space Telescope. We find that the column density
distributions for these solid state features all peak at, and are distributed
around, the location of HW2, the protostar believed to power one of the
outflows observed in this star-forming region. A correlation between the column
density distributions of CO2 and water ice with that of total hydrogen
indicates that the solid state features we mapped mostly arise from the same
molecular clumps along the probed sight lines. We therefore derive average CO2
ice and water ice abundances with respect to the total hydrogen column density
of X(CO2)_ice~1.9x10^-5 and X(H2O)_ice~7.5x10^-5. Within errors, the abundances
for both ices are relatively constant over the mapped region exhibiting both
ice absorptions. The fraction of CO2 ice with respect to H2O ice is also
relatively constant at a value of 22% over that mapped region. A clear
triple-peaked structure is seen in the CO2 ice profiles. Fits to those profiles
using current laboratory ice analogs suggest the presence of both a
low-temperature polar ice mixture and a high-temperature methanol-rich ice
mixture along the probed sightlines. Our results further indicate that thermal
processing of these ices occurred throughout the sampled region.
| astro-ph | we report the first fully sampled maps of the distribution of interstellar co2 ices h2o ices and total hydrogen nuclei as inferred from the 97 micron silicate feature toward the starforming region cepheus a east with the irs instrument onboard the spitzer space telescope we find that the column density distributions for these solid state features all peak at and are distributed around the location of hw2 the protostar believed to power one of the outflows observed in this starforming region a correlation between the column density distributions of co2 and water ice with that of total hydrogen indicates that the solid state features we mapped mostly arise from the same molecular clumps along the probed sight lines we therefore derive average co2 ice and water ice abundances with respect to the total hydrogen column density of xco2_ice19x105 and xh2o_ice75x105 within errors the abundances for both ices are relatively constant over the mapped region exhibiting both ice absorptions the fraction of co2 ice with respect to h2o ice is also relatively constant at a value of 22 over that mapped region a clear triplepeaked structure is seen in the co2 ice profiles fits to those profiles using current laboratory ice analogs suggest the presence of both a lowtemperature polar ice mixture and a hightemperature methanolrich ice mixture along the probed sightlines our results further indicate that thermal processing of these ices occurred throughout the sampled region | [['we', 'report', 'the', 'first', 'fully', 'sampled', 'maps', 'of', 'the', 'distribution', 'of', 'interstellar', 'co2', 'ices', 'h2o', 'ices', 'and', 'total', 'hydrogen', 'nuclei', 'as', 'inferred', 'from', 'the', '97', 'micron', 'silicate', 'feature', 'toward', 'the', 'starforming', 'region', 'cepheus', 'a', 'east', 'with', 'the', 'irs', 'instrument', 'onboard', 'the', 'spitzer', 'space', 'telescope', 'we', 'find', 'that', 'the', 'column', 'density', 'distributions', 'for', 'these', 'solid', 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710.0592 | Accuracy of approximation of subharmonic functions by logarithms of
moduli of analytic ones in Chebyshev metrics | It is known that a subharmonic function of finite order $\rho$ can be
approximated by the logarithm of the modulus of an entire function at the point
$z$ outside an exceptional set up to $C\log|z|$. In this article we prove that
if such an approximation is made more precise, i. e. a constant
$C$ decreases, then, beginning with $C=\rho/4$, the size of the exceptional
set enlarges substantially. Similar results are proved for subharmonic
functions of infinite order and functions subharmonic in the unit disk. These
theorems improve and complement a result by Yulmukhametov.
| math.CV | it is known that a subharmonic function of finite order rho can be approximated by the logarithm of the modulus of an entire function at the point z outside an exceptional set up to clogz in this article we prove that if such an approximation is made more precise i e a constant c decreases then beginning with crho4 the size of the exceptional set enlarges substantially similar results are proved for subharmonic functions of infinite order and functions subharmonic in the unit disk these theorems improve and complement a result by yulmukhametov | [['it', 'is', 'known', 'that', 'a', 'subharmonic', 'function', 'of', 'finite', 'order', 'rho', 'can', 'be', 'approximated', 'by', 'the', 'logarithm', 'of', 'the', 'modulus', 'of', 'an', 'entire', 'function', 'at', 'the', 'point', 'z', 'outside', 'an', 'exceptional', 'set', 'up', 'to', 'clogz', 'in', 'this', 'article', 'we', 'prove', 'that', 'if', 'such', 'an', 'approximation', 'is', 'made', 'more', 'precise', 'i', 'e', 'a', 'constant', 'c', 'decreases', 'then', 'beginning', 'with', 'crho4', 'the', 'size', 'of', 'the', 'exceptional', 'set', 'enlarges', 'substantially', 'similar', 'results', 'are', 'proved', 'for', 'subharmonic', 'functions', 'of', 'infinite', 'order', 'and', 'functions', 'subharmonic', 'in', 'the', 'unit', 'disk', 'these', 'theorems', 'improve', 'and', 'complement', 'a', 'result', 'by', 'yulmukhametov']] | [-0.11927094518150724, 0.11383369769616396, -0.06962061054738504, 0.04054568722910647, -0.04825378515358482, -0.0917743132986988, 0.06818643967099078, 0.33678171087752334, -0.29493523126590876, -0.22257591513814506, 0.0960471956136094, -0.26805234196401395, -0.13769226128511786, 0.23325880329319082, -0.049858764678772004, 0.047019786441923825, 0.018927832551116307, 0.06543141702742694, -0.07865547484482874, -0.27943296608730006, 0.314825762930623, 0.00011831370520067738, 0.18891224150474256, 0.07727455394342542, 0.061503454469717465, 0.005518645810597873, -0.0038685423506239613, 0.008486895668473873, -0.1687648181842223, 0.08007940274386943, 0.23014730115000231, 0.10788625268685212, 0.30043738580994556, -0.3382092280374778, -0.153480226665244, 0.13447764464321413, 0.14931442693469452, 0.029072012450382278, 0.014341935161520358, -0.2201188643601119, 0.16365299896838573, -0.13540285227022, -0.22284101959891045, -0.034943822075377454, 0.05831866643319909, 0.06264161237433635, -0.29578791409321536, 0.027532798064115283, 0.10974435319939813, 0.04101422105680455, -0.04845732680757295, -0.12219074963602228, -0.02523595146364072, 0.10451327408612757, 0.025796697034940613, 0.13415891343502553, 0.08733859416199746, -0.09289965400687204, -0.06808101750685128, 0.3189563979445906, -0.09085885278246068, -0.19849609243837033, 0.156220746886722, -0.20569140894932078, -0.09961116139950989, 0.14876585476264192, 0.12058024866260834, 0.13341554901102087, -0.10614130496569388, 0.13573564242975847, -0.06233973871976659, 0.17509264134831348, 0.11287255719774864, -0.0037285022176597473, 0.15412608182996737, 0.11360479108886895, 0.12433408911002207, 0.14815367977416327, 0.0015533510339702224, -0.020131919845160873, -0.3589665837749675, -0.1473855937902744, -0.21471170094478262, 0.07888383031112735, -0.11955056091288238, -0.17549142007112176, 0.3706027161340219, 0.05764557924479819, 0.23535667880755531, 0.08056890263457547, 0.22368633239478855, 0.19335494444809168, 0.07640659287034605, 0.0745345519057342, 0.220667462181914, 0.11417365806678739, 0.029162722327592937, -0.15473914214481527, 0.03785724495281721, 0.07565141732262058] |
710.0593 | Novel Precursors for Boron Nanotubes: The Competition of Two-Center and
Three-Center Bonding in Boron Sheets | We present a new class of boron sheets, composed of triangular and hexagonal
motifs, that are more stable than structures considered to date and thus are
likely to be the precursors of boron nanotubes. We describe a simple and clear
picture of electronic bonding in boron sheets and highlight the importance of
three-center bonding and its competition with two-center bonding, which can
also explain the stability of recently discovered boron fullerenes. Our
findings call for reconsideration of the literature on boron sheets, nanotubes,
and clusters.
| cond-mat.mtrl-sci | we present a new class of boron sheets composed of triangular and hexagonal motifs that are more stable than structures considered to date and thus are likely to be the precursors of boron nanotubes we describe a simple and clear picture of electronic bonding in boron sheets and highlight the importance of threecenter bonding and its competition with twocenter bonding which can also explain the stability of recently discovered boron fullerenes our findings call for reconsideration of the literature on boron sheets nanotubes and clusters | [['we', 'present', 'a', 'new', 'class', 'of', 'boron', 'sheets', 'composed', 'of', 'triangular', 'and', 'hexagonal', 'motifs', 'that', 'are', 'more', 'stable', 'than', 'structures', 'considered', 'to', 'date', 'and', 'thus', 'are', 'likely', 'to', 'be', 'the', 'precursors', 'of', 'boron', 'nanotubes', 'we', 'describe', 'a', 'simple', 'and', 'clear', 'picture', 'of', 'electronic', 'bonding', 'in', 'boron', 'sheets', 'and', 'highlight', 'the', 'importance', 'of', 'threecenter', 'bonding', 'and', 'its', 'competition', 'with', 'twocenter', 'bonding', 'which', 'can', 'also', 'explain', 'the', 'stability', 'of', 'recently', 'discovered', 'boron', 'fullerenes', 'our', 'findings', 'call', 'for', 'reconsideration', 'of', 'the', 'literature', 'on', 'boron', 'sheets', 'nanotubes', 'and', 'clusters']] | [-0.11408759318703018, 0.10553281819995712, -0.011987137553446433, 0.02429825574543108, -0.019707585605518784, -0.1178292835733908, 0.11612276096061311, 0.456362043014344, -0.24395703510347042, -0.2604363128561732, -0.016646184058695595, -0.3305300402948085, -0.22262361860176658, 0.1546768798985902, 0.025579169524066588, -0.046067333811044914, 0.08913074144545724, -0.09877146982094821, -0.04301505551454337, -0.24784579555339672, 0.26989916019579946, 0.08069899056983344, 0.3101042681346264, 0.12080805585856605, -0.015280325201285236, -0.08766475034987226, 0.0757063086528112, 0.0726747060304179, -0.1757067455777467, 0.19632694419158403, 0.2077384020147078, -0.050104827554348634, 0.1909543874180492, -0.5190376366324284, -0.1777753939249498, 0.007604960286441971, 0.15266715231187203, 0.14160265153246548, -0.08371160091671354, -0.2583175554844167, 0.11562242146225317, -0.16348860804813312, -0.12977145627853187, -0.10098063538179677, 0.040151382391067116, 0.06964885273140252, -0.16593626642271, 0.07925388731082957, 0.06873561270973262, 0.01164179530871265, -0.12769764209960532, -0.18980195600101177, -0.11740410147946985, 0.04013653145555188, 0.01875169434968163, -0.06466683869195335, 0.17206058972789084, -0.06687241211423979, -0.12805113092283993, 0.4830466322162572, 0.03212671374323477, -0.07584818577503456, 0.23421257172492058, -0.11543297434554381, -0.17186792038161966, 0.11111362312427338, 0.10261877609745544, 0.07938007417080158, -0.16810644225368057, 0.02128431193448384, -0.048355557681883085, 0.12506318009622833, 0.1438447066829266, 0.06788879214950344, 0.28165531021488066, 0.23987124899183127, 0.06587008482173962, 0.14161590071915484, -0.06905523338902961, -0.041844567253856976, -0.15226084353840527, -0.22140217196634587, -0.16719575136735598, 0.04750140499981011, -0.05578608785050593, -0.2735910862355548, 0.41008556830861115, 0.05659525386222145, 0.1690587479949874, -0.07399834130260655, 0.16035038702847326, 0.0002807772882721003, 0.09928103172055938, -0.038140713248182745, 0.27130838993060236, 0.18682692011489588, 0.052960533763775054, -0.1612652441021055, 0.09749164121663746, 0.0016692187253604916] |
710.0594 | Absence of Quantum States Corresponding to Unstable Classical Channels | We consider Hamiltonian systems of a certain class with unstable orbits
moving to infinity. We prove a theorem showing that analogous quantum states do
not exist. This theorem is applied to Schrodinger operators with potentials of
degree zero which are Morse when restricted to the unit sphere.
| math-ph math.MP | we consider hamiltonian systems of a certain class with unstable orbits moving to infinity we prove a theorem showing that analogous quantum states do not exist this theorem is applied to schrodinger operators with potentials of degree zero which are morse when restricted to the unit sphere | [['we', 'consider', 'hamiltonian', 'systems', 'of', 'a', 'certain', 'class', 'with', 'unstable', 'orbits', 'moving', 'to', 'infinity', 'we', 'prove', 'a', 'theorem', 'showing', 'that', 'analogous', 'quantum', 'states', 'do', 'not', 'exist', 'this', 'theorem', 'is', 'applied', 'to', 'schrodinger', 'operators', 'with', 'potentials', 'of', 'degree', 'zero', 'which', 'are', 'morse', 'when', 'restricted', 'to', 'the', 'unit', 'sphere']] | [-0.18717843547780463, 0.16268554745994984, -0.1106093390349378, 0.07655884999227017, -0.06099136786515567, -0.23490327479753723, 0.02056852040225343, 0.3488669334811733, -0.25890840534517107, -0.1821931426988003, 0.0760250817241266, -0.27039775038336183, -0.15689246118702788, 0.18306362383473823, -0.10502625375669053, 0.0876128804929396, 0.10963208549358744, 0.11257279411879705, -0.05467052728512344, -0.2552849094016834, 0.3661760081477622, -0.08414427445894306, 0.1866087298443977, 0.06011726602198596, 0.047466789398273014, 0.03055937785377845, 0.09374772705771822, 0.03000988890515997, -0.14772507675723395, 0.12520308753331885, 0.24801535369392405, 0.04196240362077159, 0.28370047401280163, -0.39926122949319953, -0.21782631455781928, 0.2272126399218402, 0.12458908358747338, 0.13433453098603307, -0.007516001834796662, -0.27853897021726726, 0.12054163319098347, -0.12253894463479965, -0.28227161665625394, -0.09068012019579715, 0.021551261933401546, 0.0661816855922262, -0.2432870658986429, 0.0580924410927803, 0.17411373032534377, 0.062394469084733346, -0.09738348298607037, -0.034168500958525756, -0.041132646057992536, 0.08245522850700852, 0.017413459700888933, 0.016337078104310846, 0.10288418491588945, -0.019192210750337294, -0.12049524017431318, 0.37727970524909016, -0.043512932931449505, -0.29592816706033465, 0.20492061296913852, -0.17778282127580902, -0.14322433033165463, 0.0649601909470685, 0.14200423095137515, 0.1682638447394872, -0.06692172307180529, 0.17041710781012762, -0.06368371438076521, 0.1387271196086039, 0.11893131810815093, 0.021437745833610918, 0.15426918450728097, -0.0061550883011535764, 0.17425966205848184, 0.1673642359673977, 0.0001386323686134308, -0.16320861265697378, -0.3104878625178591, -0.1371434848914121, -0.18423824226285548, 0.15899155432131745, -0.019543157434685432, -0.24851114800239496, 0.337461504986153, 0.09982330831599996, 0.19493871096997184, 0.11826365882719055, 0.1983075557286514, 0.19654479795234633, 0.0813699158978589, 0.10769234691805979, 0.20047377458119647, 0.18523348649924107, 0.03448942963509483, -0.13679081688887698, -0.12068805498804183, 0.1517915442744468] |
710.0595 | Ratio of charm to bottom R_AA as a test of pQCD vs. AdS/CFT energy loss | LHC predictions for the charm and bottom nuclear modification factors using
pQCD and AdS/CFT drag energy loss models are given. We show that a new
observable, the double ratio of charm to bottom nuclear modification factors,
allows for easy experimental distinction between the two classes of energy loss
models.
| hep-ph | lhc predictions for the charm and bottom nuclear modification factors using pqcd and adscft drag energy loss models are given we show that a new observable the double ratio of charm to bottom nuclear modification factors allows for easy experimental distinction between the two classes of energy loss models | [['lhc', 'predictions', 'for', 'the', 'charm', 'and', 'bottom', 'nuclear', 'modification', 'factors', 'using', 'pqcd', 'and', 'adscft', 'drag', 'energy', 'loss', 'models', 'are', 'given', 'we', 'show', 'that', 'a', 'new', 'observable', 'the', 'double', 'ratio', 'of', 'charm', 'to', 'bottom', 'nuclear', 'modification', 'factors', 'allows', 'for', 'easy', 'experimental', 'distinction', 'between', 'the', 'two', 'classes', 'of', 'energy', 'loss', 'models']] | [-0.02098209579114099, 0.19303931931166776, -0.13443783147982796, 0.19235701779169695, -0.06485894307190058, -0.14972279926914037, 0.06501124822059456, 0.373051898439928, -0.2647798059850323, -0.309957940853676, -0.059730410623383155, -0.31168462093283983, -0.01256200334779462, 0.1798768189488625, 0.028050188640398637, 0.13724745070675806, 0.1440206763942783, -0.036056969789978195, -0.1050794380764496, -0.1873346838567938, 0.3480796685480342, 0.05177226639827903, 0.24401890564405795, 0.25226974318146095, 0.05506084863172502, -0.004954066887802007, -0.011080689091539505, -0.032262129709124565, -0.108126642368526, 0.13205938186848118, 0.2060803570898965, 0.05559784154958871, 0.16702266577251104, -0.39693349341348727, -0.14672282820909607, 0.08010687705661569, 0.05695511029120915, 0.10635345349354404, -0.06748844299237339, -0.17803890650322166, 0.07019282670273465, -0.26343779889296515, -0.10247004649848962, -0.1281434624474876, -0.015681513243031745, -0.055465356731901366, -0.35940301646383443, 0.12962929320008476, -0.03886757228447466, -0.012949121982923575, -0.03828741665288084, -0.21598968250030764, -0.023917660216933916, 0.10315452484718086, 0.09953586177482289, 0.034268371966353864, 0.19547245181070602, -0.23560686753492574, -0.17787803599268806, 0.346420306028152, -0.051434862674499045, -0.19347271022900026, 0.20051630592087702, -0.14201831127687983, -0.09300520908733716, 0.06259988067785696, 0.24397369316417952, 0.04497198598003205, -0.15995339619718035, 0.06020037457109334, -0.008342481693442988, 0.17035306684140647, 0.0786145812147582, 0.039947096115852496, 0.17209046402451944, 0.19090783474396686, -0.05233544980803011, 0.08897593115665475, -0.08824260300975673, -0.09353927382249005, -0.417145382232812, -0.09543898925945467, -0.06151722217387311, 0.04588695453974057, -0.1291203780606988, -0.09070159377036047, 0.3900343318830948, 0.05367415789894912, 0.27973936891601403, -0.001882588395810857, 0.33236702847085436, 0.06957982581260862, 0.09312052692153625, 0.11169419409136991, 0.30722387819265834, 0.18865591257202383, 0.07647658675452884, -0.2811109658178626, 0.05477568105992277, 0.08756171266681381] |
710.0596 | Commuting Families in Temperley-Lieb Algebras | We define analogs of the Jucys-Murphy elements for the affine Temperley-Lieb
algebra and give their explicit expansion in terms of the basis of planar
Brauer diagrams. These Jucys-Murphy elements are a family of commuting elements
in the affine Temperley-Lieb algebra, and we compute their eigenvalues on the
generic irreducible representations. We show that they come from Jucys-Murphy
elements in the affine Hecke algebra of type A, which in turn come from the
Casimir element of the quantum group $U_h\mathfrak{gl}_n$. We also give the
explicit specializations of these results to the finite Temperley-Lieb algebra.
| math.RT math.QA | we define analogs of the jucysmurphy elements for the affine temperleylieb algebra and give their explicit expansion in terms of the basis of planar brauer diagrams these jucysmurphy elements are a family of commuting elements in the affine temperleylieb algebra and we compute their eigenvalues on the generic irreducible representations we show that they come from jucysmurphy elements in the affine hecke algebra of type a which in turn come from the casimir element of the quantum group u_hmathfrakgl_n we also give the explicit specializations of these results to the finite temperleylieb algebra | [['we', 'define', 'analogs', 'of', 'the', 'jucysmurphy', 'elements', 'for', 'the', 'affine', 'temperleylieb', 'algebra', 'and', 'give', 'their', 'explicit', 'expansion', 'in', 'terms', 'of', 'the', 'basis', 'of', 'planar', 'brauer', 'diagrams', 'these', 'jucysmurphy', 'elements', 'are', 'a', 'family', 'of', 'commuting', 'elements', 'in', 'the', 'affine', 'temperleylieb', 'algebra', 'and', 'we', 'compute', 'their', 'eigenvalues', 'on', 'the', 'generic', 'irreducible', 'representations', 'we', 'show', 'that', 'they', 'come', 'from', 'jucysmurphy', 'elements', 'in', 'the', 'affine', 'hecke', 'algebra', 'of', 'type', 'a', 'which', 'in', 'turn', 'come', 'from', 'the', 'casimir', 'element', 'of', 'the', 'quantum', 'group', 'u_hmathfrakgl_n', 'we', 'also', 'give', 'the', 'explicit', 'specializations', 'of', 'these', 'results', 'to', 'the', 'finite', 'temperleylieb', 'algebra']] | [-0.1344751811120659, 0.11291342481221679, -0.07734335827357743, 0.012289899694935782, -0.10391690549643143, -0.06030093008935775, -0.02264757510325264, 0.3488522738714338, -0.37177210896397417, -0.16439554083120564, 0.09223296144552043, -0.27536796948761155, -0.18191698815106697, 0.1865325817413142, -0.1224159324420211, -0.02259484861481368, 0.08058655384988726, 0.13106213064621325, -0.19205764310469892, -0.25610020175657194, 0.41801081976407894, -0.04305707213453665, 0.21785890543580297, -0.02149750818700894, 0.10448427594509786, -0.014553807038084968, -0.04568534246240945, -0.06718968405671742, -0.13007124572394116, 0.19272490579422322, 0.3450601725768217, 0.07824810534594176, 0.09959785516485167, -0.41381883961351024, -0.026318128321967695, 0.19238728178543565, 0.1963087902859906, 0.09355508259107845, -0.05284576516461802, -0.26598422161971585, 0.03933433305634105, -0.28240213107378426, -0.16280813910998404, -0.06676369723256516, 0.04810515955171507, 0.017530661268645654, -0.2411296688951552, -0.019563330461729176, 0.09065632590943057, 0.16558799171901267, -0.07271593991849247, -0.18421305960003773, -0.050919093386492816, 0.13543409944268997, -0.11945016825895595, -0.08225124476113073, 0.11583902704043557, -0.07662709792266073, -0.15981976566431316, 0.37315776540439716, 0.019568867050111294, -0.2254160094358351, 0.11035170702709128, -0.1997752744987931, -0.17758244570121978, 0.06902260789850159, 0.09947901169526512, 0.07715295777534661, -0.04473430313088972, 0.2213576705506294, -0.12699023802238313, -0.018802341201555228, 0.07663601912740294, 0.03398178042540246, 0.1504947588596817, -0.023765081124704168, -0.004355655314967684, 0.14563775711702992, 0.1085052354458679, -0.05014417142829979, -0.39579556372178637, -0.2349819169005217, -0.09583800614801356, 0.08331862722179326, -0.17074837369822807, -0.27691164691730036, 0.44378411676734686, 0.14657390113596036, 0.16627726851773963, 0.10578195442086206, 0.1385308556909086, 0.12257554820667871, 0.14579805172473678, 0.01902972497349686, 0.1296423372772077, 0.27166921200082667, -0.03774990283873985, -0.21209505323634442, -0.043527166614734124, 0.30910495877184946] |
710.0597 | Highly Collimated Jets and Wide-Angle Outflows in HH46/47: New Evidence
from Spitzer IR Images | We present new details of the structure and morphology of the jets and
outflows in HH46/47 as seen in Spitzer infrared images from IRAC and MIPS,
reprocessed using the ``HiRes'' deconvolution technique. HiRes improves the
visualization of spatial morphology by enhancing resolution (to sub-arcsec
levels in IRAC bands) and removing the contaminating side lobes from bright
sources. In addition to sharper views of previously reported bow shocks, we
have detected: (i) the sharply-delineated cavity walls of the wide-angle
biconical outflow, seen in scattered light on both sides of the protostar, (ii)
several very narrow jet features at distances 400 AU to 0.1 pc from the star,
and, (iii) compact emissions at MIPS 24 micron coincident with the jet heads,
tracing the hottest atomic/ionic gas in the bow shocks.
| astro-ph | we present new details of the structure and morphology of the jets and outflows in hh4647 as seen in spitzer infrared images from irac and mips reprocessed using the hires deconvolution technique hires improves the visualization of spatial morphology by enhancing resolution to subarcsec levels in irac bands and removing the contaminating side lobes from bright sources in addition to sharper views of previously reported bow shocks we have detected i the sharplydelineated cavity walls of the wideangle biconical outflow seen in scattered light on both sides of the protostar ii several very narrow jet features at distances 400 au to 01 pc from the star and iii compact emissions at mips 24 micron coincident with the jet heads tracing the hottest atomicionic gas in the bow shocks | [['we', 'present', 'new', 'details', 'of', 'the', 'structure', 'and', 'morphology', 'of', 'the', 'jets', 'and', 'outflows', 'in', 'hh4647', 'as', 'seen', 'in', 'spitzer', 'infrared', 'images', 'from', 'irac', 'and', 'mips', 'reprocessed', 'using', 'the', 'hires', 'deconvolution', 'technique', 'hires', 'improves', 'the', 'visualization', 'of', 'spatial', 'morphology', 'by', 'enhancing', 'resolution', 'to', 'subarcsec', 'levels', 'in', 'irac', 'bands', 'and', 'removing', 'the', 'contaminating', 'side', 'lobes', 'from', 'bright', 'sources', 'in', 'addition', 'to', 'sharper', 'views', 'of', 'previously', 'reported', 'bow', 'shocks', 'we', 'have', 'detected', 'i', 'the', 'sharplydelineated', 'cavity', 'walls', 'of', 'the', 'wideangle', 'biconical', 'outflow', 'seen', 'in', 'scattered', 'light', 'on', 'both', 'sides', 'of', 'the', 'protostar', 'ii', 'several', 'very', 'narrow', 'jet', 'features', 'at', 'distances', '400', 'au', 'to', '01', 'pc', 'from', 'the', 'star', 'and', 'iii', 'compact', 'emissions', 'at', 'mips', '24', 'micron', 'coincident', 'with', 'the', 'jet', 'heads', 'tracing', 'the', 'hottest', 'atomicionic', 'gas', 'in', 'the', 'bow', 'shocks']] | [-0.017120917262161136, 0.05285604164741317, -0.061028212096219454, 0.0647789249563311, -0.10418536458311119, -0.09103653167959258, 0.02235628373271925, 0.5243627066159342, -0.22091956865571816, -0.3312838192457172, 0.044587464480638855, -0.3057410213656313, 0.010567211337006234, 0.13400536706381455, -0.018273491652106764, -0.06632453101039974, 0.0626828668558398, -0.1933628692233011, -0.020333767254418864, -0.17365747510169552, 0.2841861044372043, 0.11998408791695274, 0.15468394664284868, 0.026610148065965476, 0.08472925873737283, -0.11830563101858839, -0.12354692639269697, -0.019341705211137577, -0.10014191815834933, 0.07515865931742069, 0.21522195862906832, 0.09982028689444447, 0.16490488527395386, -0.3947203698931042, -0.21165698404445893, -0.047982515583885464, 0.2284969042355972, -0.021806510136000753, -0.012909065001629527, -0.3419269862929432, 0.04332504094776323, -0.1329395743068601, -0.16737036482159665, 0.10989323563738103, 0.006250973326139387, 0.030917787038654172, -0.1829401252843535, 0.1147945290688044, -0.0003942395620169274, 0.12964121190699066, -0.108867634663461, -0.13388391909754183, -0.09642587416607329, 0.06922254152504331, -0.0008813075842262488, 0.08758154014624127, 0.1885528164277748, -0.2140063193895139, -0.09045704465366783, 0.3676385227737464, -0.07046653914132878, 0.021796640643013978, 0.2890812430437288, -0.25604034005297627, -0.15943367876053796, 0.2946629681089145, 0.13277518006081063, 0.11036424852144999, -0.11198018741194438, -0.03282192898556722, -0.02451369588998491, 0.21508141656178892, 0.12361629149605205, 0.11766297151297918, 0.29344729750644505, 0.07661913569253964, 0.008059425743326075, 0.17845015726088892, -0.3753623286881814, 0.0022883913928906864, -0.2557213646213077, -0.08148187879238307, -0.13305960367543726, 0.018584153519606027, -0.13700701416537484, -0.07492930335900197, 0.3207580546269149, 0.11354320871324726, 0.21116205687656647, -0.029835180467449304, 0.3648138331454687, 0.002272901518497704, 0.13464260644895412, 0.17419243370747473, 0.3031692674940848, 0.10827081609796, 0.15779280635770263, -0.17840060817011757, 0.02528645793218019, 0.005831099612139693] |
710.0598 | Cosmic gamma-ray burst 060428C detected in the fields of view of the
IBIS and SPI telescopes of the INTEGRAL observatory and its early afterglow | Analyzing archival data of the INTEGRAL observatory we discovered and
localized a cosmic gamma-ray burst detected within fields of view of the
IBIS/ISGRI and SPI telescopes on April 28, 2006. The burst has not been
revealed by the INTEGRAL Burst Alert System (IBAS), so the information on its
coordinates has not been distributed in time and search for the afterglow has
not been carried out. The burst has been also detected by the KONUS/WIND and
RHESSI spacecrafts. Its fluence was 2.3x10^{-6} erg/cm^2 in the 20-200 keV
energy band, the maximum flux was 3.6x10^{-7} erg/cm^2/s (3.9 phot/cm^2/s). The
burst had a complicated multi-peak profile and was outstanding of the typical
bursts by increasing its spectral hardness with time. The emission spectrum
near the flux maximum was characterized by the photon index alpha ~ -1.5 and
the peak energy Ep ~ 95 keV. The burst lasted ~12 s, then we observed its
afterglow at energies 15-45 keV decaying according to a power law with the
index ~ -4.5. The spectral hardness decreased substantially during the
afterglow.
| astro-ph | analyzing archival data of the integral observatory we discovered and localized a cosmic gammaray burst detected within fields of view of the ibisisgri and spi telescopes on april 28 2006 the burst has not been revealed by the integral burst alert system ibas so the information on its coordinates has not been distributed in time and search for the afterglow has not been carried out the burst has been also detected by the konuswind and rhessi spacecrafts its fluence was 23x106 ergcm2 in the 20200 kev energy band the maximum flux was 36x107 ergcm2s 39 photcm2s the burst had a complicated multipeak profile and was outstanding of the typical bursts by increasing its spectral hardness with time the emission spectrum near the flux maximum was characterized by the photon index alpha 15 and the peak energy ep 95 kev the burst lasted 12 s then we observed its afterglow at energies 1545 kev decaying according to a power law with the index 45 the spectral hardness decreased substantially during the afterglow | [['analyzing', 'archival', 'data', 'of', 'the', 'integral', 'observatory', 'we', 'discovered', 'and', 'localized', 'a', 'cosmic', 'gammaray', 'burst', 'detected', 'within', 'fields', 'of', 'view', 'of', 'the', 'ibisisgri', 'and', 'spi', 'telescopes', 'on', 'april', '28', '2006', 'the', 'burst', 'has', 'not', 'been', 'revealed', 'by', 'the', 'integral', 'burst', 'alert', 'system', 'ibas', 'so', 'the', 'information', 'on', 'its', 'coordinates', 'has', 'not', 'been', 'distributed', 'in', 'time', 'and', 'search', 'for', 'the', 'afterglow', 'has', 'not', 'been', 'carried', 'out', 'the', 'burst', 'has', 'been', 'also', 'detected', 'by', 'the', 'konuswind', 'and', 'rhessi', 'spacecrafts', 'its', 'fluence', 'was', '23x106', 'ergcm2', 'in', 'the', '20200', 'kev', 'energy', 'band', 'the', 'maximum', 'flux', 'was', '36x107', 'ergcm2s', '39', 'photcm2s', 'the', 'burst', 'had', 'a', 'complicated', 'multipeak', 'profile', 'and', 'was', 'outstanding', 'of', 'the', 'typical', 'bursts', 'by', 'increasing', 'its', 'spectral', 'hardness', 'with', 'time', 'the', 'emission', 'spectrum', 'near', 'the', 'flux', 'maximum', 'was', 'characterized', 'by', 'the', 'photon', 'index', 'alpha', '15', 'and', 'the', 'peak', 'energy', 'ep', '95', 'kev', 'the', 'burst', 'lasted', '12', 's', 'then', 'we', 'observed', 'its', 'afterglow', 'at', 'energies', '1545', 'kev', 'decaying', 'according', 'to', 'a', 'power', 'law', 'with', 'the', 'index', '45', 'the', 'spectral', 'hardness', 'decreased', 'substantially', 'during', 'the', 'afterglow']] | [-0.07394448663792846, 0.15411868037293008, -0.08275126528597491, 0.1306384270243785, -0.06780708115547895, -0.10869922801742658, 0.07641305061372217, 0.4662486201888361, -0.16582528348149295, -0.422156539197792, 0.09778798414832529, -0.3577801016104572, 0.003491106388323447, 0.22442243511939203, 0.002932676288080128, 0.04547346437158173, 0.06638297371511512, -0.016850343693102544, -0.04951254810576382, -0.23516770029330955, 0.18730729858267722, 0.21301610667587204, 0.2462779770824401, 0.04093454393065151, 0.10086333234315081, -0.023024971003863304, -0.06736201987985302, -0.04881905572500032, -0.1058029939310954, -0.00038936501231921067, 0.20080515928566456, 0.11851189668488908, 0.19896473377285634, -0.361315568328342, -0.2527558736126486, 0.11012592062573223, 0.12245870062067886, -0.10505888843361069, 0.016964431341244455, -0.31994019902913884, 0.04539485164808438, -0.19113131895223084, -0.13661486660952077, 0.10052356539184557, 0.08502095520003315, 0.05172603317700765, -0.1307883956716122, 0.07921577839245883, -0.015355508969001034, 0.07426195892587523, -0.11811146687524503, -0.040647081586340554, -0.025247302814386786, 0.04090491198003292, 0.09273609852911356, 0.07018227893379791, 0.10140847782604397, -0.06948275920551489, -0.09156658124342999, 0.3248693737146609, -0.044490768749486, 0.10471313001094934, 0.11094743870335685, -0.18266285390538328, -0.1743677637704155, 0.30908286100910864, 0.07240720385110334, 0.051406646242770984, -0.1652017933628111, 0.08118487254456233, 0.018520297900335315, 0.273037433139432, 0.09100931263391805, 0.0037367597811252757, 0.22788079099811834, 0.11243291553109884, 0.001070311465574538, 0.11791065700680894, -0.31166924358455134, 0.0430521047756295, -0.23588697441908366, -0.08433638188220999, -0.1872102636761744, 0.12098825264556046, -0.064017905598431, -0.07920875665731728, 0.47440707258441867, 0.03211304364068543, 0.15042188671034049, 0.008249844168312847, 0.2297716787783429, 0.18235775273402824, 0.06394614695900065, 0.13158129433252136, 0.37214667611371943, 0.10933709347291905, 0.2100277615382391, -0.18671596147143968, 0.08033528372316676, 0.0090755701660836] |
710.0599 | Nonlinear Optical Spectroscopy of Photonic Metamaterials | We have obtained spectra of second-harmonic generation, third harmonic
generation, and four-wave mixing from a fishnet metamaterial around its
magnetic resonance. The resonant behaviors are distinctly different from those
for ordinary materials. They result from the fact that the resonance is
plasmonic, and its enhancement appears through the local field in the
nanostructure.
| cond-mat.mtrl-sci cond-mat.other | we have obtained spectra of secondharmonic generation third harmonic generation and fourwave mixing from a fishnet metamaterial around its magnetic resonance the resonant behaviors are distinctly different from those for ordinary materials they result from the fact that the resonance is plasmonic and its enhancement appears through the local field in the nanostructure | [['we', 'have', 'obtained', 'spectra', 'of', 'secondharmonic', 'generation', 'third', 'harmonic', 'generation', 'and', 'fourwave', 'mixing', 'from', 'a', 'fishnet', 'metamaterial', 'around', 'its', 'magnetic', 'resonance', 'the', 'resonant', 'behaviors', 'are', 'distinctly', 'different', 'from', 'those', 'for', 'ordinary', 'materials', 'they', 'result', 'from', 'the', 'fact', 'that', 'the', 'resonance', 'is', 'plasmonic', 'and', 'its', 'enhancement', 'appears', 'through', 'the', 'local', 'field', 'in', 'the', 'nanostructure']] | [-0.13733386617364748, 0.19149500201016945, -0.052743464620467626, 0.005761909010855235, -0.058108844214452886, -0.0955679185319481, -0.01799427774154915, 0.4378366006432839, -0.2754076892896643, -0.3080374881765752, 0.023014898207653664, -0.33573357985829405, -0.21150813685765243, 0.2591887967625879, 0.05819400131838607, 0.029386266501497407, 0.021385483672174643, -0.013588053051312015, 0.03393778944045375, -0.09874996609704674, 0.34261031427754546, -0.02065531033495406, 0.3063469336297855, 0.013094425456211815, 0.032006693274696484, -0.05880157198352774, 0.07534034859459356, -0.07574655631565894, -0.06259840225676219, 0.13449305570947956, 0.19962380014641104, -0.01975436486690393, 0.18242667330745257, -0.3970139941183042, -0.2058542595367949, 0.04076963837065224, 0.1566958105244305, 0.15828115563347656, -0.11619984179752756, -0.28013940598543313, 0.05269603019158514, -0.09255044664836155, -0.10774120127887658, -0.05344054660730213, -0.09155851159077841, 0.009866299599690258, -0.28153806805988457, 0.05196549769772111, 0.09541836679684666, 0.08083378873273449, -0.04167185839318301, -0.08709391885665509, -0.0780676747408678, 0.07605243926727266, 0.031228766561362822, -0.06714205634516646, 0.18261656963556372, -0.15206015488695143, -0.11728103659203593, 0.41550612594835673, -0.13507825371651155, -0.08898687475571795, 0.18461513514015473, -0.2412238714443344, -0.020351863132332854, 0.20355442682948877, 0.14635042018555808, 0.11839961840876571, -0.13449010201993417, 0.0283963076115744, -0.027588842520138847, 0.1343487488360689, 0.13548920680505205, 0.09543275598542027, 0.2562798967338958, 0.14280891512467894, -0.0015883617287607125, 0.14914637712656326, -0.09741838908982726, -0.02336898347679174, -0.2388190711883582, -0.10171486384604338, -0.20945439413892772, 0.029299659707214473, -0.08500397149067074, -0.16332855608033123, 0.45300102799709113, 0.10259609711620044, 0.14247400728317927, -0.053968864932375134, 0.3007094918240635, 0.1813905482654864, 0.1366336620149185, -0.03469497419647732, 0.3855981357255072, 0.1854197017602482, 0.17013184945011195, -0.26868033793508866, -0.010825275206270645, -0.004696366254169986] |
710.06 | A Search for EHB Pulsators in the Globular Cluster NGC 6752 | We describe the status of a project whose main goal is to detect variability
along the extreme horizontal branch of the globular cluster NGC 6752. Based on
Magellan 6.5m data, preliminary light curves are presented for some candidate
variables. By combining our time-series data, we also produce a deep CMD of
unprecedented quality for the cluster which reveals a remarkable lack of main
sequence binaries, possibly pointing to a low primordial binary fraction.
| astro-ph | we describe the status of a project whose main goal is to detect variability along the extreme horizontal branch of the globular cluster ngc 6752 based on magellan 65m data preliminary light curves are presented for some candidate variables by combining our timeseries data we also produce a deep cmd of unprecedented quality for the cluster which reveals a remarkable lack of main sequence binaries possibly pointing to a low primordial binary fraction | [['we', 'describe', 'the', 'status', 'of', 'a', 'project', 'whose', 'main', 'goal', 'is', 'to', 'detect', 'variability', 'along', 'the', 'extreme', 'horizontal', 'branch', 'of', 'the', 'globular', 'cluster', 'ngc', '6752', 'based', 'on', 'magellan', '65m', 'data', 'preliminary', 'light', 'curves', 'are', 'presented', 'for', 'some', 'candidate', 'variables', 'by', 'combining', 'our', 'timeseries', 'data', 'we', 'also', 'produce', 'a', 'deep', 'cmd', 'of', 'unprecedented', 'quality', 'for', 'the', 'cluster', 'which', 'reveals', 'a', 'remarkable', 'lack', 'of', 'main', 'sequence', 'binaries', 'possibly', 'pointing', 'to', 'a', 'low', 'primordial', 'binary', 'fraction']] | [-0.10747657242041297, 0.04813659603209936, -0.1540000044536611, 0.07204613686150119, -0.15320083712329705, -0.0632013022797565, 0.09444448555666596, 0.42828527485875234, -0.16703435199650973, -0.3510367548833155, 0.09783861293674331, -0.29799273222276607, -0.10117466476098443, 0.24676486812787105, -0.13894626466327742, 0.0006779508158079769, 0.1904187194416172, -0.0365620578498873, 0.01702421668228017, -0.2998512475368605, 0.3240097141378138, 0.05352139478343641, 0.19465239672628168, -0.09192504673839023, 0.1057212418168528, -0.030925434318766612, -0.08117161931674162, -0.05161595940015802, -0.08888211160936482, 0.1278963685163284, 0.23645701425226584, 0.1721144984986582, 0.22461015210576254, -0.3287847871343567, -0.17290892702055305, 0.06361764627955344, 0.1955672239211758, 0.040204531568970074, -0.10246188566886041, -0.2739776898484856, 0.09897111053897502, -0.12268897660606069, -0.20944426557661533, 0.0008617188934593984, 0.021251972841277514, 0.096428740093459, -0.19576496068286162, 0.06461323214310527, -0.000449997608945386, 0.12968142029561408, -0.12982750706987023, -0.1715350960547181, -0.02570726277868021, 0.1349457508106142, -0.009674860167712586, 0.09212120785696866, 0.07681500917453676, -0.11241509030534796, -0.026836831888107406, 0.3469480456822641, -0.08402103349910922, 0.007904174342139126, 0.21048866591594909, -0.1687944016279015, -0.2675043310880763, 0.10701062074824147, 0.1929960179793304, 0.10207205208669072, -0.21880304923740357, -0.013050550540306363, 0.010491494484858154, 0.23829154882018697, 0.011315268355944794, 0.059155528350694944, 0.306180969237873, 0.19217491420368626, 0.009247755969887318, 0.14950119438804432, -0.2510437408353725, -0.05666487390966448, -0.2568735737506657, -0.09926099268949196, -0.11990004200934853, 0.026424951558734915, -0.13807141526972186, -0.18230273387688276, 0.37192376727263815, 0.10568010824898334, 0.23721563337970372, 0.021118558739146143, 0.2901215873633141, 0.03959398903909509, 0.07523679942186054, 0.04457796758602131, 0.25534215000057786, 0.17385135857987996, 0.06524441659622762, -0.25420625426181376, 0.05492561875702175, -0.01271507790796969] |
710.0601 | Long time limit of equilibrium glassy dynamics and replica calculation | It is shown that the limit $t-t'\to\infty$ of the equilibrium dynamic
self-energy can be computed from the $n\to 1$ limit of the static self-energy
of a $n$-times replicated system with one step replica symmetry breaking
structure. It is also shown that the Dyson equation of the replicated system
leads in the $n\to 1$ limit to the bifurcation equation for the glass
ergodicity breaking parameter computed from dynamics. The equivalence of the
replica formalism to the long time limit of the equilibrium relaxation dynamics
is proved to all orders in perturbation for a scalar theory.
| cond-mat.stat-mech cond-mat.dis-nn | it is shown that the limit tttoinfty of the equilibrium dynamic selfenergy can be computed from the nto 1 limit of the static selfenergy of a ntimes replicated system with one step replica symmetry breaking structure it is also shown that the dyson equation of the replicated system leads in the nto 1 limit to the bifurcation equation for the glass ergodicity breaking parameter computed from dynamics the equivalence of the replica formalism to the long time limit of the equilibrium relaxation dynamics is proved to all orders in perturbation for a scalar theory | [['it', 'is', 'shown', 'that', 'the', 'limit', 'tttoinfty', 'of', 'the', 'equilibrium', 'dynamic', 'selfenergy', 'can', 'be', 'computed', 'from', 'the', 'nto', '1', 'limit', 'of', 'the', 'static', 'selfenergy', 'of', 'a', 'ntimes', 'replicated', 'system', 'with', 'one', 'step', 'replica', 'symmetry', 'breaking', 'structure', 'it', 'is', 'also', 'shown', 'that', 'the', 'dyson', 'equation', 'of', 'the', 'replicated', 'system', 'leads', 'in', 'the', 'nto', '1', 'limit', 'to', 'the', 'bifurcation', 'equation', 'for', 'the', 'glass', 'ergodicity', 'breaking', 'parameter', 'computed', 'from', 'dynamics', 'the', 'equivalence', 'of', 'the', 'replica', 'formalism', 'to', 'the', 'long', 'time', 'limit', 'of', 'the', 'equilibrium', 'relaxation', 'dynamics', 'is', 'proved', 'to', 'all', 'orders', 'in', 'perturbation', 'for', 'a', 'scalar', 'theory']] | [-0.15456017234202435, 0.13719196049796958, -0.14977193723923415, 0.08016260201486969, 0.023110204969622915, -0.10947278044837457, 0.03667485622829327, 0.28403862203241037, -0.3067565243591064, -0.2248230099838267, 0.1055276137651495, -0.29555348779565543, -0.1309294143456325, 0.0778712913874657, 0.0691010540912068, 0.09093515336593633, 0.004742868024335113, 0.06233727321108823, -0.05735661924105658, -0.19857992242611144, 0.27714916389255273, 0.00362052652053535, 0.2873689671277359, 0.0526292587189825, 0.09271114376643973, 0.02550421076356083, 0.09302306816142092, 0.016053525190199574, -0.10878181706451165, 0.003911306488237554, 0.22832220114306898, 0.05407959119772278, 0.21053648733293578, -0.4067811602426152, -0.20301738345334608, 0.07722911146539514, 0.17429501125188443, 0.15052717457956044, 0.039902136801311404, -0.2949543560564678, 0.07299599060237968, -0.17561986167184127, -0.21253101884197162, -0.09449916727019735, 0.03505090343695815, -0.022396985441446304, -0.2923700834896105, 0.08090364948629843, 0.09244145191605052, -0.002827846405086338, -0.06573751705989081, -0.06566215521575863, -0.05473736341121376, 0.13049016719163264, 0.10574928705420306, 0.027004374496598718, 0.12299957192598052, -0.10570799674518326, -0.08175844429135923, 0.4131235213930248, -0.08348602100065158, -0.19145449558122746, 0.12310280173175758, -0.16369324928570178, -0.15222193639204706, 0.16597741283225997, 0.053556972653955544, 0.13930689046529912, -0.16956868961325758, 0.16957495184314827, -0.015971785030698262, 0.1811015135408329, 0.052965306071063846, -0.021557690866131296, 0.14179456216453384, 0.16948892809050056, 0.0881817830345964, 0.15711988383899092, -0.01672225762459059, -0.2039090121034733, -0.3164819885566029, -0.10896275515680769, -0.23176953170613776, 0.1211695966400927, -0.13489494342056493, -0.15195259930733693, 0.35601090549701647, 0.1647519997486304, 0.15753883422071976, 0.08890358594957218, 0.24932599465252572, 0.20418335646340843, 0.04889057542607989, 0.04765165485541827, 0.23754501326750682, 0.15679127805095205, 0.09597646845604783, -0.27487674923313243, 0.01729549562698731, 0.13128504969219687] |
710.0602 | HAT-P-4b: A metal-rich low-density transiting hot Jupiter | We describe the discovery of HAT-P-4b, a low-density extrasolar planet
transiting BD+36 2593, a V = 11.2 mag slightly evolved metal-rich late F star.
The planet's orbital period is 3.056536+/-0.000057 d with a mid-transit epoch
of 2,454,245.8154 +/- 0.0003 (HJD). Based on high-precision photometric and
spectroscopic data, and by using transit light curve modeling, spectrum
analysis and evolutionary models, we derive the following planet parameters:
Mp= 0.68 +/- 0.04 MJ, Rp= 1.27 +/- 0.05 RJ, rho = 0.41 +/- 0.06 g cm-3 and a =
0.0446 +/- 0.0012 AU. Because of its relatively large radius, together with its
assumed high metallicity of that of its parent star, this planet adds to the
theoretical challenges to explain inflated extrasolar planets.
| astro-ph | we describe the discovery of hatp4b a lowdensity extrasolar planet transiting bd36 2593 a v 112 mag slightly evolved metalrich late f star the planets orbital period is 30565360000057 d with a midtransit epoch of 24542458154 00003 hjd based on highprecision photometric and spectroscopic data and by using transit light curve modeling spectrum analysis and evolutionary models we derive the following planet parameters mp 068 004 mj rp 127 005 rj rho 041 006 g cm3 and a 00446 00012 au because of its relatively large radius together with its assumed high metallicity of that of its parent star this planet adds to the theoretical challenges to explain inflated extrasolar planets | [['we', 'describe', 'the', 'discovery', 'of', 'hatp4b', 'a', 'lowdensity', 'extrasolar', 'planet', 'transiting', 'bd36', '2593', 'a', 'v', '112', 'mag', 'slightly', 'evolved', 'metalrich', 'late', 'f', 'star', 'the', 'planets', 'orbital', 'period', 'is', '30565360000057', 'd', 'with', 'a', 'midtransit', 'epoch', 'of', '24542458154', '00003', 'hjd', 'based', 'on', 'highprecision', 'photometric', 'and', 'spectroscopic', 'data', 'and', 'by', 'using', 'transit', 'light', 'curve', 'modeling', 'spectrum', 'analysis', 'and', 'evolutionary', 'models', 'we', 'derive', 'the', 'following', 'planet', 'parameters', 'mp', '068', '004', 'mj', 'rp', '127', '005', 'rj', 'rho', '041', '006', 'g', 'cm3', 'and', 'a', '00446', '00012', 'au', 'because', 'of', 'its', 'relatively', 'large', 'radius', 'together', 'with', 'its', 'assumed', 'high', 'metallicity', 'of', 'that', 'of', 'its', 'parent', 'star', 'this', 'planet', 'adds', 'to', 'the', 'theoretical', 'challenges', 'to', 'explain', 'inflated', 'extrasolar', 'planets']] | [-0.12647605423650174, 0.1693474980110355, -0.13107775928992255, 0.00876094337343891, -0.13600351564394675, -0.14096406758893457, 0.14522137342099206, 0.330278916789271, -0.12189595734865935, -0.38582906121753646, 0.07205410074729855, -0.3182027833275149, -0.044272231653976805, 0.14908518940950177, -0.14921984342840788, 0.035253342422199754, 0.16858911697935558, -0.06459849115426296, -0.07297609112264641, -0.2795298337821074, 0.15062989254164397, 0.03301779091114474, -0.020521088422789612, -0.03387530433954062, 0.01636043431729113, -0.059540853115390535, -0.029506425370264225, -0.15155993040790347, -0.3064187411026443, 0.0510123561736997, 0.19407096106242025, 0.13210095807683664, 0.20159974278203238, -0.2542204622040007, -0.18636868467606674, 0.026340665313128, 0.1453637006022384, -0.0709913941927115, -0.03263481798969105, -0.2598897021625052, 0.13730410746272617, -0.23156506621287526, -0.2004497369934117, 0.1008272582978428, 0.19259308312941237, -0.03675988208171781, -0.28825395328871833, 0.14959549182312232, 0.022659938921716725, 0.20558596091458103, -0.14560020264895268, -0.23887518105297306, -0.09641222940392305, -0.02645127955284492, -0.006241340275035701, 0.1406395140574009, 0.1389181195088079, 0.005935015903228772, 0.051050364159517615, 0.43841972563276504, -0.16485925368903745, 0.07008786063653413, 0.1931660869746321, -0.23767932791210641, -0.12688908974039498, 0.14983196870345517, 0.1539752479092105, 0.14699918522160046, -0.16641970234705467, 0.010105498672558744, 0.05145891319425063, 0.24547521157242427, 0.05330236483948462, 0.040013437646780614, 0.43234708094501556, 0.13670215337258704, 0.025549632138093917, -0.02374300376346735, -0.2816878111454197, -0.0020842899434555706, -0.109743065383529, -0.0744766939418373, -0.15473865469369305, 0.07605936534802873, -0.18778931211068722, -0.09243420371350562, 0.3654357620871791, 0.13084624607929804, 0.22303303701707344, 0.05989305955296922, 0.28393892281923755, 0.07826150153223947, 0.048405751346193786, 0.11149248339357638, 0.30898862977938674, 0.23052558220409414, 0.0673569267263166, -0.262700174599516, 0.08809043039898519, -0.03166149049414165] |
710.0603 | An Initial Assessment of the GOES Microburst Windspeed Potential Index | A suite of products has been developed and evaluated to assess hazards
presented by convective downbursts to aircraft in flight derived from the
current generation of Geostationary Operational Environmental Satellite. The
existing suite of GOES microburst products employs the GOES sounder to
calculate risk based on conceptual models of favorable environmental profiles
for convective downburst generation. Large output values of the microburst
index algorithms indicate that the ambient thermodynamic structure of the
troposphere fits the prototypical environment for each respective microburst
type. Accordingly, a new diagnostic nowcasting product, the Microburst
Windspeed Potential Index, is derived from merging existing algorithms and
designed to quantify the most relevant factors in convective downburst
generation in intermediate thermodynamic environments. This paper provides an
initial assessment of the MWPI algorithm, presents case studies demonstrating
effective operational use of the MWPI product, and presents validation results
for the 2007 convective season.
| physics.ao-ph | a suite of products has been developed and evaluated to assess hazards presented by convective downbursts to aircraft in flight derived from the current generation of geostationary operational environmental satellite the existing suite of goes microburst products employs the goes sounder to calculate risk based on conceptual models of favorable environmental profiles for convective downburst generation large output values of the microburst index algorithms indicate that the ambient thermodynamic structure of the troposphere fits the prototypical environment for each respective microburst type accordingly a new diagnostic nowcasting product the microburst windspeed potential index is derived from merging existing algorithms and designed to quantify the most relevant factors in convective downburst generation in intermediate thermodynamic environments this paper provides an initial assessment of the mwpi algorithm presents case studies demonstrating effective operational use of the mwpi product and presents validation results for the 2007 convective season | [['a', 'suite', 'of', 'products', 'has', 'been', 'developed', 'and', 'evaluated', 'to', 'assess', 'hazards', 'presented', 'by', 'convective', 'downbursts', 'to', 'aircraft', 'in', 'flight', 'derived', 'from', 'the', 'current', 'generation', 'of', 'geostationary', 'operational', 'environmental', 'satellite', 'the', 'existing', 'suite', 'of', 'goes', 'microburst', 'products', 'employs', 'the', 'goes', 'sounder', 'to', 'calculate', 'risk', 'based', 'on', 'conceptual', 'models', 'of', 'favorable', 'environmental', 'profiles', 'for', 'convective', 'downburst', 'generation', 'large', 'output', 'values', 'of', 'the', 'microburst', 'index', 'algorithms', 'indicate', 'that', 'the', 'ambient', 'thermodynamic', 'structure', 'of', 'the', 'troposphere', 'fits', 'the', 'prototypical', 'environment', 'for', 'each', 'respective', 'microburst', 'type', 'accordingly', 'a', 'new', 'diagnostic', 'nowcasting', 'product', 'the', 'microburst', 'windspeed', 'potential', 'index', 'is', 'derived', 'from', 'merging', 'existing', 'algorithms', 'and', 'designed', 'to', 'quantify', 'the', 'most', 'relevant', 'factors', 'in', 'convective', 'downburst', 'generation', 'in', 'intermediate', 'thermodynamic', 'environments', 'this', 'paper', 'provides', 'an', 'initial', 'assessment', 'of', 'the', 'mwpi', 'algorithm', 'presents', 'case', 'studies', 'demonstrating', 'effective', 'operational', 'use', 'of', 'the', 'mwpi', 'product', 'and', 'presents', 'validation', 'results', 'for', 'the', '2007', 'convective', 'season']] | [-0.07693304376002273, 0.07263189811221372, -0.05072689210867574, 0.0673466549343269, -0.032241498577761755, -0.07754373091818957, 0.04881557903718203, 0.3533216363397138, -0.18166065717613775, -0.3497608055970792, 0.13130752831970438, -0.23800870668271493, -0.12235237554614914, 0.24506547221078956, -0.11187448968532784, 0.075661201315936, 0.09766763297455577, -0.013525434355412064, -0.02445450794465583, -0.18773244439849052, 0.3002874112977036, 0.1434663756862925, 0.31647327308510914, 0.026622587050600298, 0.07764684809692975, -0.03740432114693625, -0.1275915158607451, -0.023850207666641678, -0.14266738170493948, 0.09932956016935601, 0.24745297602908223, 0.2022879407596614, 0.28132628186862785, -0.3958846054082046, -0.23726311449908877, 0.05778804063507966, 0.08011998142886521, -0.008642036445310404, -0.021600284306171898, -0.274119473504031, 0.024635323817873825, -0.2938157465373134, -0.109282913710922, -0.08509456912248299, 0.012057764230874079, 0.026278078234915077, -0.3200595307183966, 0.01489659282760213, -0.03420655735254545, 0.10207579395380513, -0.12445583112762663, -0.17008830656393847, -0.03869821732253607, 0.21050206967147775, 0.07752144257538021, -0.03942916365982643, 0.19220583509404918, -0.09671611017226402, -0.07275765630946462, 0.35725190681244795, -0.11231431082404893, -0.08887955459188028, 0.2238556109930806, -0.08559986056181891, -0.12433859798414953, 0.09028362093878717, 0.20761601885716463, 0.05674522013307132, -0.15087197254098758, 0.016313975491031106, 0.05423013138552678, 0.13295059049951619, 0.029603573525774068, -0.03757101277788651, 0.17239963076366432, 0.2123760621223984, 0.06814605090807288, 0.17727044081989804, -0.16733111794054475, -0.08389670132530917, -0.24794208443370358, -0.16647501356803396, -0.10239956215152453, -0.011182503432741967, -0.09196038242913221, -0.19574653312949272, 0.40757141281561604, 0.19759183964403024, 0.10417365630253636, 0.052995765096796994, 0.389166867334781, 0.08298480182500749, 0.06199241885674539, 0.07509414249356708, 0.2444051891854354, 0.11652315026630872, 0.17211558384949277, -0.20667976730117768, 0.10552871155970056, 0.056689669458388256] |
710.0604 | Control landscapes for two-level open quantum systems | A quantum control landscape is defined as the physical objective as a
function of the control variables. In this paper the control landscapes for
two-level open quantum systems, whose evolution is described by general
completely positive trace preserving maps (i.e., Kraus maps), are investigated
in details. The objective function, which is the expectation value of a target
system operator, is defined on the Stiefel manifold representing the space of
Kraus maps. Three practically important properties of the objective function
are found: (a) the absence of local maxima or minima (i.e., false traps); (b)
the existence of multi-dimensional sub-manifolds of optimal solutions
corresponding to the global maximum and minimum; and (c) the connectivity of
each level set. All of the critical values and their associated critical
sub-manifolds are explicitly found for any initial system state. Away from the
absolute extrema there are no local maxima or minima, and only saddles may
exist, whose number and the explicit structure of the corresponding critical
sub-manifolds are determined by the initial system state. There are no saddles
for pure initial states, one saddle for a completely mixed initial state, and
two saddles for other initial states. In general, the landscape analysis of
critical points and optimal manifolds is relevant to the problem of explaining
the relative ease of obtaining good optimal control outcomes in the laboratory,
even in the presence of the environment.
| quant-ph math-ph math.MP | a quantum control landscape is defined as the physical objective as a function of the control variables in this paper the control landscapes for twolevel open quantum systems whose evolution is described by general completely positive trace preserving maps ie kraus maps are investigated in details the objective function which is the expectation value of a target system operator is defined on the stiefel manifold representing the space of kraus maps three practically important properties of the objective function are found a the absence of local maxima or minima ie false traps b the existence of multidimensional submanifolds of optimal solutions corresponding to the global maximum and minimum and c the connectivity of each level set all of the critical values and their associated critical submanifolds are explicitly found for any initial system state away from the absolute extrema there are no local maxima or minima and only saddles may exist whose number and the explicit structure of the corresponding critical submanifolds are determined by the initial system state there are no saddles for pure initial states one saddle for a completely mixed initial state and two saddles for other initial states in general the landscape analysis of critical points and optimal manifolds is relevant to the problem of explaining the relative ease of obtaining good optimal control outcomes in the laboratory even in the presence of the environment | [['a', 'quantum', 'control', 'landscape', 'is', 'defined', 'as', 'the', 'physical', 'objective', 'as', 'a', 'function', 'of', 'the', 'control', 'variables', 'in', 'this', 'paper', 'the', 'control', 'landscapes', 'for', 'twolevel', 'open', 'quantum', 'systems', 'whose', 'evolution', 'is', 'described', 'by', 'general', 'completely', 'positive', 'trace', 'preserving', 'maps', 'ie', 'kraus', 'maps', 'are', 'investigated', 'in', 'details', 'the', 'objective', 'function', 'which', 'is', 'the', 'expectation', 'value', 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710.0605 | Radiative and Collisional Jet Energy Loss in the Quark-Gluon Plasma at
RHIC | We calculate and compare bremsstrahlung and collisional energy loss of hard
partons traversing a quark-gluon plasma. Our treatment of both processes is
complete at leading order in the coupling and accounts for the probabilistic
nature of the jet energy loss. We find that the nuclear modification factor
$R_{AA}$ for neutral $\pi^0$ production in heavy ion collisions is sensitive to
the inclusion of collisional and radiative energy loss contributions while the
averaged energy loss only slightly increases if collisional energy loss is
included for parent parton energies $E\gg T$. These results are important for
the understanding of jet quenching in Au+Au collisions at $200 {\rm AGeV}$ at
RHIC. Comparison with data is performed applying the energy loss calculation to
a relativistic ideal (3+1)-dimensional hydrodynamic description of the
thermalized medium formed at RHIC.
| hep-ph nucl-th | we calculate and compare bremsstrahlung and collisional energy loss of hard partons traversing a quarkgluon plasma our treatment of both processes is complete at leading order in the coupling and accounts for the probabilistic nature of the jet energy loss we find that the nuclear modification factor r_aa for neutral pi0 production in heavy ion collisions is sensitive to the inclusion of collisional and radiative energy loss contributions while the averaged energy loss only slightly increases if collisional energy loss is included for parent parton energies egg t these results are important for the understanding of jet quenching in auau collisions at 200 rm agev at rhic comparison with data is performed applying the energy loss calculation to a relativistic ideal 31dimensional hydrodynamic description of the thermalized medium formed at rhic | [['we', 'calculate', 'and', 'compare', 'bremsstrahlung', 'and', 'collisional', 'energy', 'loss', 'of', 'hard', 'partons', 'traversing', 'a', 'quarkgluon', 'plasma', 'our', 'treatment', 'of', 'both', 'processes', 'is', 'complete', 'at', 'leading', 'order', 'in', 'the', 'coupling', 'and', 'accounts', 'for', 'the', 'probabilistic', 'nature', 'of', 'the', 'jet', 'energy', 'loss', 'we', 'find', 'that', 'the', 'nuclear', 'modification', 'factor', 'r_aa', 'for', 'neutral', 'pi0', 'production', 'in', 'heavy', 'ion', 'collisions', 'is', 'sensitive', 'to', 'the', 'inclusion', 'of', 'collisional', 'and', 'radiative', 'energy', 'loss', 'contributions', 'while', 'the', 'averaged', 'energy', 'loss', 'only', 'slightly', 'increases', 'if', 'collisional', 'energy', 'loss', 'is', 'included', 'for', 'parent', 'parton', 'energies', 'egg', 't', 'these', 'results', 'are', 'important', 'for', 'the', 'understanding', 'of', 'jet', 'quenching', 'in', 'auau', 'collisions', 'at', '200', 'rm', 'agev', 'at', 'rhic', 'comparison', 'with', 'data', 'is', 'performed', 'applying', 'the', 'energy', 'loss', 'calculation', 'to', 'a', 'relativistic', 'ideal', '31dimensional', 'hydrodynamic', 'description', 'of', 'the', 'thermalized', 'medium', 'formed', 'at', 'rhic']] | [-0.046324351454111, 0.22688175716885287, -0.1220586272063203, 0.15819904072395036, 0.01356595743959414, -0.06961025391129479, -0.06285536631351721, 0.38006606976366564, -0.20876809349639042, -0.2995107233638072, -0.08212306378818053, -0.3567575137486383, 0.11617803181173238, 0.12832154863947676, 0.08742969021741442, 0.05683684227490471, 0.14880247731721527, -0.01683280525643748, -0.04859508874367137, -0.15909722903636747, 0.3290305597243745, 0.1733919961221573, 0.21233115702128139, 0.21042125715646637, 0.06987194096374517, 0.06468473471397221, -0.025344589470533783, -0.011373188247093718, -0.13790370083034334, 0.04133713274229076, 0.24016730015286963, 0.01443099834643418, 0.2055584909252197, -0.39632037267771386, -0.20366104874397337, 0.05859290310697104, 0.10264686684262804, 0.09990179929562368, -0.07331878775090889, -0.13543742514066115, 0.05861630757563243, -0.26563526437624946, -0.1428030264770029, -0.061837899018761536, -0.008377886395048321, -0.010664958113587624, -0.3488920771531078, 0.172808937684416, 0.013283176239196013, 0.008919074602659706, -0.06324097200453224, -0.14169601574966698, -0.10314298372267823, 0.008268132528560308, 0.06234390122677334, 0.09209874792394178, 0.22796841724313624, -0.19296968228695557, -0.1006101342948964, 0.4475224284128151, -0.009748219890086307, -0.09159683754653421, 0.21289133056660559, -0.19084923545197222, -0.09756936911846341, 0.23642693123005273, 0.24383583208297216, 0.08952067329220381, -0.18496907771145568, 0.006092883317681556, 0.022278853558814368, 0.13932647597092362, 0.11112855928985559, 0.07675698336981635, 0.16378168568756246, 0.2000280647744773, -0.05411629546575874, 0.10922777716868881, -0.08962244097186067, -0.08713793074214504, -0.38073346230649313, -0.08798235484917882, -0.11938085271941341, 0.07783367958289521, -0.072253881994091, -0.05186780126950213, 0.35128246288647064, 0.08755450539703247, 0.22496404468067674, -0.018716183021835243, 0.3403650534744481, 0.12296274634351854, 0.033230336893079734, 0.18473241092878898, 0.28965347945443104, 0.14330466179077633, 0.15217436252887012, -0.3126602993890615, 0.05981295014454322, 0.05172981653462043] |
710.0606 | Extended Einstein-Maxwell model | A self-consistent extended Einstein-Maxwell model for relativistic
non-stationary polarizable-magnetizable anisotropic media is presented. Based
on the analogy with relativistic extended irreversible (transient)
thermodynamics, the extended constitutive equations for the electrodynamics of
continua are formulated phenomenologically, the convective derivatives of the
first, second, etc. orders being taken into account. The master equations for
the gravity field contain a modified effective (symmetric) stress-energy tensor
of the electromagnetic field in a material medium, the use of this tensor being
motivated both by historical analogies and direct variational procedure. By way
of example we consider the exact solution of the extended Einstein-Maxwell
model, describing the isotropic cosmological model with hidden non-vanishing
electromagnetic field, electric polarization and magnetization.
| gr-qc astro-ph hep-th | a selfconsistent extended einsteinmaxwell model for relativistic nonstationary polarizablemagnetizable anisotropic media is presented based on the analogy with relativistic extended irreversible transient thermodynamics the extended constitutive equations for the electrodynamics of continua are formulated phenomenologically the convective derivatives of the first second etc orders being taken into account the master equations for the gravity field contain a modified effective symmetric stressenergy tensor of the electromagnetic field in a material medium the use of this tensor being motivated both by historical analogies and direct variational procedure by way of example we consider the exact solution of the extended einsteinmaxwell model describing the isotropic cosmological model with hidden nonvanishing electromagnetic field electric polarization and magnetization | [['a', 'selfconsistent', 'extended', 'einsteinmaxwell', 'model', 'for', 'relativistic', 'nonstationary', 'polarizablemagnetizable', 'anisotropic', 'media', 'is', 'presented', 'based', 'on', 'the', 'analogy', 'with', 'relativistic', 'extended', 'irreversible', 'transient', 'thermodynamics', 'the', 'extended', 'constitutive', 'equations', 'for', 'the', 'electrodynamics', 'of', 'continua', 'are', 'formulated', 'phenomenologically', 'the', 'convective', 'derivatives', 'of', 'the', 'first', 'second', 'etc', 'orders', 'being', 'taken', 'into', 'account', 'the', 'master', 'equations', 'for', 'the', 'gravity', 'field', 'contain', 'a', 'modified', 'effective', 'symmetric', 'stressenergy', 'tensor', 'of', 'the', 'electromagnetic', 'field', 'in', 'a', 'material', 'medium', 'the', 'use', 'of', 'this', 'tensor', 'being', 'motivated', 'both', 'by', 'historical', 'analogies', 'and', 'direct', 'variational', 'procedure', 'by', 'way', 'of', 'example', 'we', 'consider', 'the', 'exact', 'solution', 'of', 'the', 'extended', 'einsteinmaxwell', 'model', 'describing', 'the', 'isotropic', 'cosmological', 'model', 'with', 'hidden', 'nonvanishing', 'electromagnetic', 'field', 'electric', 'polarization', 'and', 'magnetization']] | [-0.1413591548085346, 0.12608152693636449, -0.06318960744621498, 0.10893605150548476, -0.1379138405734141, -0.1332221200531681, -0.06143974859566827, 0.30458123236063067, -0.21233847341500223, -0.27814634530347704, 0.05603716287026016, -0.2403145866368764, -0.12730599577272578, 0.13003940357469088, 0.06172101464056011, 0.03711085035216196, -0.033285204553976655, 0.017896898785173625, -0.05069238220208457, -0.17553480813720462, 0.3393548894548855, 0.029374980633812293, 0.2576787203683385, -0.026519113698408807, 0.15387708598219824, 0.02143542153810683, -0.074367636358407, 0.10533544005011208, -0.09826067697888773, 0.09576505279983394, 0.1979700010851957, 0.02386312778149399, 0.20423735120233946, -0.4995206583989784, -0.28783680804605993, 0.02997617779016894, 0.07397229430249094, 0.166706714263585, -0.06160153195482313, -0.32063572739467155, -0.021408259170129895, -0.21797587508834632, -0.19377228683359654, -0.08411257992598362, 0.006576299125819267, -0.005408265902328172, -0.24880257366748992, 0.13596630156176356, 0.05060687411709556, -0.004803044867263192, -0.16336329856754414, -0.0779306930022098, -0.006579154908000159, 0.032181098828524615, 0.08328588618210883, 0.005985548270733229, 0.10698700578879132, -0.159108222514208, -0.07550296685907856, 0.4216849436966835, -0.11201280863107448, -0.22298750863826303, 0.08186115844832134, -0.10477249909724508, -0.08636196927961594, 0.15587642456167877, 0.156428623125456, 0.1629451077730794, -0.22592773410308706, 0.1452927393828369, -0.03531463849191953, 0.10837404527826168, 0.03454297215960521, -0.0174521396651731, 0.26560943158775835, 0.11201827533243756, -0.040836407898625894, 0.16556847630999982, 0.008468309415288136, -0.15103786869440228, -0.3785446331437145, -0.15645891651573557, -0.14569030289255483, 0.10389537989561047, -0.1427046991055769, -0.1948120773595292, 0.3736167197681165, 0.15041221114058448, 0.06458826043464276, 0.0023758626027431872, 0.28753332012066884, 0.15114356486135097, 0.030178250169098777, 0.09369059073755384, 0.30505906415471273, 0.23424464887440472, 0.1541257625815758, -0.2372248456608109, -0.02180488015125905, 0.11523231485833614] |
710.0607 | Localized modes of binary mixtures of Bose-Einstein condensates in
nonlinear optical lattices | The properties of the localized states of a two component Bose-Einstein
condensate confined in a nonlinear periodic potential [nonlinear optical
lattice] are investigated. We reveal the existence of new types of solitons and
study their stability by means of analytical and numerical approaches. The
symmetry properties of the localized states with respect to the NOL are also
investigated. We show that nonlinear optical lattices allow the existence of
bright soliton modes with equal symmetry in both components, bright localized
modes of mixed symmetry type, as well as, dark-bright bound states and bright
modes on periodic backgrounds. In spite of the quasi 1D nature of the problem,
the fundamental symmetric localized modes undergo a delocalizing transition
when the strength of the nonlinear optical lattice is varied. This transition
is associated with the existence of an unstable solution, which exhibits a
shrinking (decaying) behavior for slightly overcritical (undercritical)
variations in the number of atoms.
| cond-mat.other | the properties of the localized states of a two component boseeinstein condensate confined in a nonlinear periodic potential nonlinear optical lattice are investigated we reveal the existence of new types of solitons and study their stability by means of analytical and numerical approaches the symmetry properties of the localized states with respect to the nol are also investigated we show that nonlinear optical lattices allow the existence of bright soliton modes with equal symmetry in both components bright localized modes of mixed symmetry type as well as darkbright bound states and bright modes on periodic backgrounds in spite of the quasi 1d nature of the problem the fundamental symmetric localized modes undergo a delocalizing transition when the strength of the nonlinear optical lattice is varied this transition is associated with the existence of an unstable solution which exhibits a shrinking decaying behavior for slightly overcritical undercritical variations in the number of atoms | [['the', 'properties', 'of', 'the', 'localized', 'states', 'of', 'a', 'two', 'component', 'boseeinstein', 'condensate', 'confined', 'in', 'a', 'nonlinear', 'periodic', 'potential', 'nonlinear', 'optical', 'lattice', 'are', 'investigated', 'we', 'reveal', 'the', 'existence', 'of', 'new', 'types', 'of', 'solitons', 'and', 'study', 'their', 'stability', 'by', 'means', 'of', 'analytical', 'and', 'numerical', 'approaches', 'the', 'symmetry', 'properties', 'of', 'the', 'localized', 'states', 'with', 'respect', 'to', 'the', 'nol', 'are', 'also', 'investigated', 'we', 'show', 'that', 'nonlinear', 'optical', 'lattices', 'allow', 'the', 'existence', 'of', 'bright', 'soliton', 'modes', 'with', 'equal', 'symmetry', 'in', 'both', 'components', 'bright', 'localized', 'modes', 'of', 'mixed', 'symmetry', 'type', 'as', 'well', 'as', 'darkbright', 'bound', 'states', 'and', 'bright', 'modes', 'on', 'periodic', 'backgrounds', 'in', 'spite', 'of', 'the', 'quasi', '1d', 'nature', 'of', 'the', 'problem', 'the', 'fundamental', 'symmetric', 'localized', 'modes', 'undergo', 'a', 'delocalizing', 'transition', 'when', 'the', 'strength', 'of', 'the', 'nonlinear', 'optical', 'lattice', 'is', 'varied', 'this', 'transition', 'is', 'associated', 'with', 'the', 'existence', 'of', 'an', 'unstable', 'solution', 'which', 'exhibits', 'a', 'shrinking', 'decaying', 'behavior', 'for', 'slightly', 'overcritical', 'undercritical', 'variations', 'in', 'the', 'number', 'of', 'atoms']] | [-0.1825991182300449, 0.20909099248906146, -0.05343467533269799, 0.03270438504420638, -0.020893653848600622, -0.13605445287631532, 0.004078320886229018, 0.3654766662083076, -0.2331127927663099, -0.2141228284978608, 0.10194590431331706, -0.29298858048002185, -0.13205013126379958, 0.1450588457871498, 0.054315441919147577, 0.04981393880504919, 0.0265421477563091, 0.013577484246956087, -0.0650035428039509, -0.17784829378084205, 0.3394780307907671, -0.03571651234463053, 0.3020977644360085, 0.029468797534814496, 0.02556913766985465, -0.028513604052070724, 0.06320846059028745, -0.006673812988753382, -0.13401369155580092, 0.08951519143968319, 0.1766885554871375, -0.01844711375336996, 0.23421329908734678, -0.4374163466640503, -0.2167555761437765, 0.09914163740560118, 0.18485166999208127, 0.13695900447553294, -0.07535638907900552, -0.3290601098346279, 0.047407775547502466, -0.0949729738548692, -0.23466715881735772, -0.07554663820988744, 0.030588339818151372, 0.0792354829701301, -0.24124122658548386, 0.13750013846076495, 0.08775960143707619, 0.05830554091861766, -0.12277118078782223, -0.02728693435078879, -0.09081083924760797, 0.05871655090384976, 0.05181849058518358, -0.05420829096386258, 0.06225475805465402, -0.15572257879485782, -0.10924274442521364, 0.3775076596556525, -0.09461159246673465, -0.16463020804191106, 0.21642943323240615, -0.10650505758760694, -0.05953711178153753, 0.17718289566753237, 0.177424703608267, 0.12564795418630206, -0.05171187856515309, 0.04524009872885041, -0.04497649181652569, 0.1738673580073641, 0.08582117531209645, 0.13485206011989104, 0.24979323289229988, 0.16256748640980254, 0.06024236748975167, 0.1969993476951985, -0.07388179969405571, -0.11671797092084919, -0.2930831322400512, -0.09504857454272783, -0.17852119771506345, 0.02269086319689737, -0.04448713956136137, -0.22094513423814388, 0.4571181348598513, 0.04328660488030628, 0.18894731932270684, -0.0304555796541727, 0.21375397410194732, 0.14336460480607408, 0.019806425425677412, 0.04454145835265272, 0.30492752753994673, 0.1883372684854916, 0.06198535399744287, -0.29702919926249277, -0.047179884407485495, 0.03945220784455734] |
710.0608 | Fermi pockets and quantum oscillations of the Hall coefficient in high
temperature superconductors | Recent quantum oscillation measurements in high temperature superconductors
in high magnetic fields and low temperatures have ushered in a new era. These
experiments explore the normal state from which superconductivity arises and
provide evidence of a reconstructed Fermi surface consisting of electron and
hole pockets in a regime in which such a possibility was previously considered
to be remote. More specifically, the Hall coefficient has been found to
oscillate according to the Onsager quantization condition, involving only
fundamental constants and the areas of the pockets, but with a sign that is
negative. Here we explain the observations with the theory that the alleged
normal state exhibits a hidden order, the $d$-density wave, which breaks
symmetries signifying time reversal, translation by a lattice spacing, and a
rotation by an angle $\pi/2$, while the product of any two symmetry operations
is preserved. The success of our analysis underscores the importance of
spontaneous breaking of symmetries, Fermi surface reconstruction, and
conventional quasiparticles. We primarily focus on the version of the order
that is commensurate with the underlying crystalline lattice, but also touch
upon the consequences if the order were to incommensurate. It is shown that
while commensurate order results in two independent oscillation frequencies as
a function of the inverse of the applied magnetic field, incommensurate order
leads to three independent frequencies. The oscillation amplitudes, however,
are determined by the mobilities of the charge carriers comprising the Fermi
pockets.
| cond-mat.supr-con cond-mat.str-el | recent quantum oscillation measurements in high temperature superconductors in high magnetic fields and low temperatures have ushered in a new era these experiments explore the normal state from which superconductivity arises and provide evidence of a reconstructed fermi surface consisting of electron and hole pockets in a regime in which such a possibility was previously considered to be remote more specifically the hall coefficient has been found to oscillate according to the onsager quantization condition involving only fundamental constants and the areas of the pockets but with a sign that is negative here we explain the observations with the theory that the alleged normal state exhibits a hidden order the ddensity wave which breaks symmetries signifying time reversal translation by a lattice spacing and a rotation by an angle pi2 while the product of any two symmetry operations is preserved the success of our analysis underscores the importance of spontaneous breaking of symmetries fermi surface reconstruction and conventional quasiparticles we primarily focus on the version of the order that is commensurate with the underlying crystalline lattice but also touch upon the consequences if the order were to incommensurate it is shown that while commensurate order results in two independent oscillation frequencies as a function of the inverse of the applied magnetic field incommensurate order leads to three independent frequencies the oscillation amplitudes however are determined by the mobilities of the charge carriers comprising the fermi pockets | [['recent', 'quantum', 'oscillation', 'measurements', 'in', 'high', 'temperature', 'superconductors', 'in', 'high', 'magnetic', 'fields', 'and', 'low', 'temperatures', 'have', 'ushered', 'in', 'a', 'new', 'era', 'these', 'experiments', 'explore', 'the', 'normal', 'state', 'from', 'which', 'superconductivity', 'arises', 'and', 'provide', 'evidence', 'of', 'a', 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710.0609 | Numerical investigation of the quantum fluctuations of optical fields
transmitted through an atomic medium | We have numerically solved the Heisenberg-Langevin equations describing the
propagation of quantized fields through an optically thick sample of atoms. Two
orthogonal polarization components are considered for the field and the
complete Zeeman sublevel structure of the atomic transition is taken into
account. Quantum fluctuations of atomic operators are included through
appropriate Langevin forces. We have considered an incident field in a linearly
polarized coherent state (driving field) and vacuum in the perpendicular
polarization and calculated the noise spectra of the amplitude and phase
quadratures of the output field for two orthogonal polarizations. We analyze
different configurations depending on the total angular momentum of the ground
and excited atomic states. We examine the generation of squeezing for the
driving field polarization component and vacuum squeezing of the orthogonal
polarization. Entanglement of orthogonally polarized modes is predicted. Noise
spectral features specific of (Zeeman) multi-level configurations are
identified.
| quant-ph | we have numerically solved the heisenberglangevin equations describing the propagation of quantized fields through an optically thick sample of atoms two orthogonal polarization components are considered for the field and the complete zeeman sublevel structure of the atomic transition is taken into account quantum fluctuations of atomic operators are included through appropriate langevin forces we have considered an incident field in a linearly polarized coherent state driving field and vacuum in the perpendicular polarization and calculated the noise spectra of the amplitude and phase quadratures of the output field for two orthogonal polarizations we analyze different configurations depending on the total angular momentum of the ground and excited atomic states we examine the generation of squeezing for the driving field polarization component and vacuum squeezing of the orthogonal polarization entanglement of orthogonally polarized modes is predicted noise spectral features specific of zeeman multilevel configurations are identified | [['we', 'have', 'numerically', 'solved', 'the', 'heisenberglangevin', 'equations', 'describing', 'the', 'propagation', 'of', 'quantized', 'fields', 'through', 'an', 'optically', 'thick', 'sample', 'of', 'atoms', 'two', 'orthogonal', 'polarization', 'components', 'are', 'considered', 'for', 'the', 'field', 'and', 'the', 'complete', 'zeeman', 'sublevel', 'structure', 'of', 'the', 'atomic', 'transition', 'is', 'taken', 'into', 'account', 'quantum', 'fluctuations', 'of', 'atomic', 'operators', 'are', 'included', 'through', 'appropriate', 'langevin', 'forces', 'we', 'have', 'considered', 'an', 'incident', 'field', 'in', 'a', 'linearly', 'polarized', 'coherent', 'state', 'driving', 'field', 'and', 'vacuum', 'in', 'the', 'perpendicular', 'polarization', 'and', 'calculated', 'the', 'noise', 'spectra', 'of', 'the', 'amplitude', 'and', 'phase', 'quadratures', 'of', 'the', 'output', 'field', 'for', 'two', 'orthogonal', 'polarizations', 'we', 'analyze', 'different', 'configurations', 'depending', 'on', 'the', 'total', 'angular', 'momentum', 'of', 'the', 'ground', 'and', 'excited', 'atomic', 'states', 'we', 'examine', 'the', 'generation', 'of', 'squeezing', 'for', 'the', 'driving', 'field', 'polarization', 'component', 'and', 'vacuum', 'squeezing', 'of', 'the', 'orthogonal', 'polarization', 'entanglement', 'of', 'orthogonally', 'polarized', 'modes', 'is', 'predicted', 'noise', 'spectral', 'features', 'specific', 'of', 'zeeman', 'multilevel', 'configurations', 'are', 'identified']] | [-0.21288821414393716, 0.24095108524329278, -0.047192920492132744, 0.047228185448808316, 0.0024504814351181663, -0.09371620015088111, -0.021029596805432173, 0.43867686387049415, -0.25174828359780654, -0.24549756654895433, 0.010132716367442212, -0.22983764383737762, -0.027758593406298594, 0.17375527556398757, 0.07718444237452039, 0.03439309081853661, 0.0105423993580139, -0.021933065226607738, -0.022524778746317257, -0.1936035143731366, 0.3716339745833092, 0.010342273271916919, 0.31793144608095086, -0.013794687547886821, 0.14077188361640255, 0.01577755148771334, -0.014061317574998287, 0.012475661085025496, -0.07969709881900312, 0.07429763772453131, 0.2060373099488908, 0.04470635036146906, 0.1785024254828411, -0.4436785052400397, -0.16101427847991556, 0.07155977131333202, 0.12152813318562662, 0.19131590828159187, 0.0021859777617676515, -0.30674411138290003, -0.03857061413614309, -0.09023637826592751, -0.14746519950958453, -0.10866603256547697, 0.008962550899811243, 0.045701607181499265, -0.2753477161802026, 0.04471130139985415, 0.05231668065184064, 0.08635093919093216, -0.1016046444037036, -0.14887965515204896, -0.08266057214884674, 0.09831457374910887, 0.011301866727753554, 0.014105069340997669, 0.1581916659827223, -0.15057992386593394, -0.1215058382511241, 0.3519264244193798, -0.12601118772737172, -0.1969608225260083, 0.0962864085681073, -0.1754412744710563, -0.028056068463914403, 0.17630137188506811, 0.17877506356597048, 0.11705968358030874, -0.10761563386170078, 0.06661494784870453, 0.021246718976340475, 0.1686991361138883, 0.10307065655847322, 0.10869959576297807, 0.23328974112000775, 0.05677384477465937, 0.028790362346277507, 0.1960324171885899, -0.14504911698865838, -0.11284165214412296, -0.29037082372297063, -0.12717324901014976, -0.19593969006920617, 0.07162956309453776, -0.06138168076274132, -0.1396427566651255, 0.4508716308588341, 0.11067681635376338, 0.14178202769476667, -0.07236650513408527, 0.3280449784615983, 0.1808796893511835, 0.034538803963398895, 0.043666277309618126, 0.32047842060254045, 0.24631065789495327, 0.06631595120695101, -0.30476875026863426, -0.031364054191053835, -0.02529948343178385] |
710.061 | de Sitter Relativity and Quantum Physics | In the presence of a cosmological constant, interpreted as a purely geometric
entity, absence of matter is represented by a de Sitter spacetime. As a
consequence, ordinary Poincare' special relativity is no longer valid and must
be replaced by a de Sitter special relativity. By considering the kinematics of
a spinless particle in a de Sitter spacetime, we study the geodesics of this
spacetime, the ensuing definitions of canonical momenta, and explore possible
implications for quantum mechanics.
| gr-qc hep-th | in the presence of a cosmological constant interpreted as a purely geometric entity absence of matter is represented by a de sitter spacetime as a consequence ordinary poincare special relativity is no longer valid and must be replaced by a de sitter special relativity by considering the kinematics of a spinless particle in a de sitter spacetime we study the geodesics of this spacetime the ensuing definitions of canonical momenta and explore possible implications for quantum mechanics | [['in', 'the', 'presence', 'of', 'a', 'cosmological', 'constant', 'interpreted', 'as', 'a', 'purely', 'geometric', 'entity', 'absence', 'of', 'matter', 'is', 'represented', 'by', 'a', 'de', 'sitter', 'spacetime', 'as', 'a', 'consequence', 'ordinary', 'poincare', 'special', 'relativity', 'is', 'no', 'longer', 'valid', 'and', 'must', 'be', 'replaced', 'by', 'a', 'de', 'sitter', 'special', 'relativity', 'by', 'considering', 'the', 'kinematics', 'of', 'a', 'spinless', 'particle', 'in', 'a', 'de', 'sitter', 'spacetime', 'we', 'study', 'the', 'geodesics', 'of', 'this', 'spacetime', 'the', 'ensuing', 'definitions', 'of', 'canonical', 'momenta', 'and', 'explore', 'possible', 'implications', 'for', 'quantum', 'mechanics']] | [-0.1943701265936161, 0.17269768671120528, -0.15013872348255924, 0.16502138012687542, -0.10559462673067078, -0.13603497530611885, -0.058341650065494244, 0.2401607365698203, -0.166608716034657, -0.2627570525102027, 0.05234929560320815, -0.1906215446009361, -0.1149578605379377, 0.15133242958146692, -0.07236158997183303, 0.012559904656433439, -0.017207511761165285, 0.06521484243695612, -0.10773385005365066, -0.18636504413753555, 0.3734707486839941, 0.13101321237022662, 0.19692892428826203, -0.06962604956042215, 0.1565869264425589, 0.07650670730629815, -0.03815458927835737, 0.09706849486313084, -0.1532601538150535, 0.022759266209776526, 0.25921836529870507, 0.10757910676735949, 0.23282143740019726, -0.40424755133398166, -0.254269681955603, 0.12604438873346557, 0.15566408248352154, 0.17634382137617508, -0.07765341753309424, -0.36170008846304635, 0.008738987362307086, -0.18617012313047013, -0.2104903879914094, -0.03092588756426975, 0.032565639571244406, -0.10627192698794043, -0.13827780008848226, 0.1372757414597776, 0.09086892150445272, 0.0437679932174551, -0.06544115106490525, -0.020998668938560727, -0.05173900942378617, 0.02737285065549341, 0.09217353089555323, 0.013399869369875108, 0.12553697887977416, -0.09383028248240324, -0.168242942578123, 0.46769077398560266, -0.09326925270815754, -0.2762162190462862, 0.13279274865597873, -0.15681632859753325, -0.11718767371585036, 0.059316877859293834, 0.07401682470332492, 0.1734569665020356, -0.11489166793498126, 0.2427044986027547, -0.00783327699626808, 0.12328305409906747, 0.19398471134920398, 0.04118057830235014, 0.3130912518539986, 0.07664393500557967, 0.014782356376481521, 0.10265542550901459, 0.029188392187964606, -0.1652794574930139, -0.43094003490813365, -0.24496944017735517, -0.17001961070028218, 0.13123240662956392, -0.17686762571805037, -0.2030302962626923, 0.281689797757895, 0.01434029886716759, 0.17281929774258237, 0.002936025213619525, 0.22689429856836796, 0.06392292180340495, -0.023326884184105248, 0.05961848425303961, 0.2840877201456528, 0.13338958123372263, 0.13312355819605776, -0.19636911904898943, -0.0457210606750246, 0.12136148196923269] |
710.0611 | Complex Network Analysis of State Spaces for Random Boolean Networks | We apply complex network analysis to the state spaces of random Boolean
networks (RBNs). An RBN contains $N$ Boolean elements each with $K$ inputs. A
directed state space network (SSN) is constructed by linking each dynamical
state, represented as a node, to its temporal successor. We study the
heterogeneity of an SSN at both local and global scales, as well as
sample-to-sample fluctuations within an ensemble of SSNs. We use in-degrees of
nodes as a local topological measure, and the path diversity [Phys. Rev. Lett.
98, 198701 (2007)] of an SSN as a global topological measure. RBNs with $2 \leq
K \leq 5$ exhibit non-trivial fluctuations at both local and global scales,
while K=2 exhibits the largest sample-to-sample, possibly non-self-averaging,
fluctuations. We interpret the observed ``multi scale'' fluctuations in the
SSNs as indicative of the criticality and complexity of K=2 RBNs. ``Garden of
Eden'' (GoE) states are nodes on an SSN that have in-degree zero. While
in-degrees of non-GoE nodes for $K>1$ SSNs can assume any integer value between
0 and $2^N$, for K=1 all the non-GoE nodes in an SSN have the same in-degree
which is always a power of two.
| cond-mat.stat-mech cond-mat.dis-nn | we apply complex network analysis to the state spaces of random boolean networks rbns an rbn contains n boolean elements each with k inputs a directed state space network ssn is constructed by linking each dynamical state represented as a node to its temporal successor we study the heterogeneity of an ssn at both local and global scales as well as sampletosample fluctuations within an ensemble of ssns we use indegrees of nodes as a local topological measure and the path diversity phys rev lett 98 198701 2007 of an ssn as a global topological measure rbns with 2 leq k leq 5 exhibit nontrivial fluctuations at both local and global scales while k2 exhibits the largest sampletosample possibly nonselfaveraging fluctuations we interpret the observed multi scale fluctuations in the ssns as indicative of the criticality and complexity of k2 rbns garden of eden goe states are nodes on an ssn that have indegree zero while indegrees of nongoe nodes for k1 ssns can assume any integer value between 0 and 2n for k1 all the nongoe nodes in an ssn have the same indegree which is always a power of two | [['we', 'apply', 'complex', 'network', 'analysis', 'to', 'the', 'state', 'spaces', 'of', 'random', 'boolean', 'networks', 'rbns', 'an', 'rbn', 'contains', 'n', 'boolean', 'elements', 'each', 'with', 'k', 'inputs', 'a', 'directed', 'state', 'space', 'network', 'ssn', 'is', 'constructed', 'by', 'linking', 'each', 'dynamical', 'state', 'represented', 'as', 'a', 'node', 'to', 'its', 'temporal', 'successor', 'we', 'study', 'the', 'heterogeneity', 'of', 'an', 'ssn', 'at', 'both', 'local', 'and', 'global', 'scales', 'as', 'well', 'as', 'sampletosample', 'fluctuations', 'within', 'an', 'ensemble', 'of', 'ssns', 'we', 'use', 'indegrees', 'of', 'nodes', 'as', 'a', 'local', 'topological', 'measure', 'and', 'the', 'path', 'diversity', 'phys', 'rev', 'lett', '98', '198701', '2007', 'of', 'an', 'ssn', 'as', 'a', 'global', 'topological', 'measure', 'rbns', 'with', '2', 'leq', 'k', 'leq', '5', 'exhibit', 'nontrivial', 'fluctuations', 'at', 'both', 'local', 'and', 'global', 'scales', 'while', 'k2', 'exhibits', 'the', 'largest', 'sampletosample', 'possibly', 'nonselfaveraging', 'fluctuations', 'we', 'interpret', 'the', 'observed', 'multi', 'scale', 'fluctuations', 'in', 'the', 'ssns', 'as', 'indicative', 'of', 'the', 'criticality', 'and', 'complexity', 'of', 'k2', 'rbns', 'garden', 'of', 'eden', 'goe', 'states', 'are', 'nodes', 'on', 'an', 'ssn', 'that', 'have', 'indegree', 'zero', 'while', 'indegrees', 'of', 'nongoe', 'nodes', 'for', 'k1', 'ssns', 'can', 'assume', 'any', 'integer', 'value', 'between', '0', 'and', '2n', 'for', 'k1', 'all', 'the', 'nongoe', 'nodes', 'in', 'an', 'ssn', 'have', 'the', 'same', 'indegree', 'which', 'is', 'always', 'a', 'power', 'of', 'two']] | [-0.18489995350440344, 0.1472069636856085, -0.03025797274081953, 0.04332820369083454, -0.0061597430058533235, -0.13284427108841815, 0.054039565570376535, 0.341065647223442, -0.2722212273686651, -0.30843843257291215, 0.042774819989476805, -0.3338901834986197, -0.17328140078846702, 0.09236076868893135, -0.024816705622321005, 0.012760594492810827, -0.012842430760246264, 0.11479776600011127, -0.01587247285898282, -0.2404132309300756, 0.2685741727097482, 0.03277830550171159, 0.2573772396572937, -0.012642689339974254, 0.08408125141812932, -0.0041350688632557945, 0.025221938837723678, 0.08404238635311322, -0.11409396881862974, 0.03702191971630479, 0.2319462072527992, 0.14062057554514873, 0.2688981265304459, -0.4081132987257901, -0.22461873703702753, 0.1808056332535608, 0.1230726992642438, 0.0608419867955572, 0.07360633480530133, -0.2729728503556794, 0.13668966500164642, -0.1449554661429295, -0.11344569527282916, -0.08061914471663022, 0.10935048813680334, 0.05737289994592882, -0.2831006973560545, 0.06791706175405395, 0.05348341016541728, 0.10772820437085573, -0.006593796284746122, -0.14458935850216126, -0.09280457447262028, 0.16307400378999767, -0.025271675655391637, 0.05752433688569538, 0.08968949048883385, -0.10911721292690364, -0.17307448634020392, 0.3163873143444853, -0.036048391110155356, -0.13778546475682152, 0.16997290219342898, -0.11889187040339623, -0.1811782637630742, 0.10157352631601195, 0.15874394702863087, 0.090676242209695, -0.09209448495071637, 0.06523883887477312, -0.06420434465405171, 0.20703540975967097, 0.06733717377144824, 0.06565266892068884, 0.15698241815082611, 0.1590198635378675, 0.12883214813425506, 0.13620118822695482, -0.09658258654782056, -0.08534354826271603, -0.26824947193797144, -0.13288850557408913, -0.26728046842463926, 0.07680100431017794, -0.1662344986731624, -0.17479224172888924, 0.40372801072668857, 0.10108609559881702, 0.28065898465781064, 0.13942297760313427, 0.19814422836517373, 0.08047443992586402, 0.04315937896968708, 0.16658865056054853, 0.12797345824000086, 0.14460085059033223, 0.09584186941129032, -0.18996154385398353, 0.06828081502860027, 0.04201366535939828] |
710.0612 | Fermions Tunnelling from Black Holes | We investigate the tunnelling of spin 1/2 particles through event horizons.
We first apply the tunnelling method to Rindler spacetime and obtain the Unruh
temperature. We then apply fermion tunnelling to a general non-rotating black
hole metric and show that the Hawking temperature is recovered.
| hep-th | we investigate the tunnelling of spin 12 particles through event horizons we first apply the tunnelling method to rindler spacetime and obtain the unruh temperature we then apply fermion tunnelling to a general nonrotating black hole metric and show that the hawking temperature is recovered | [['we', 'investigate', 'the', 'tunnelling', 'of', 'spin', '12', 'particles', 'through', 'event', 'horizons', 'we', 'first', 'apply', 'the', 'tunnelling', 'method', 'to', 'rindler', 'spacetime', 'and', 'obtain', 'the', 'unruh', 'temperature', 'we', 'then', 'apply', 'fermion', 'tunnelling', 'to', 'a', 'general', 'nonrotating', 'black', 'hole', 'metric', 'and', 'show', 'that', 'the', 'hawking', 'temperature', 'is', 'recovered']] | [-0.10935939611453149, 0.1910374162459953, -0.12572639893947377, 0.18120214729311152, -0.06935838229126401, -0.1821295100471212, 0.026267975692947705, 0.3442640153484212, -0.15482124756607746, -0.24544415084852111, 0.005361577764981322, -0.3369193452099959, -0.11304739059673416, 0.16282689111928145, -0.07676190367589394, 0.01733799002443751, -0.01966830167091555, 0.07975142335312234, -0.14024932017653352, -0.2542064101745685, 0.4013852772509886, 0.0932893983191914, 0.24358561537745926, 0.06350891016837623, 0.18284163648883503, 0.06608072660035558, 0.04483307119872835, 0.08027325798239973, -0.2347394992760706, -0.06330149345513847, 0.17852983971436817, 0.08743983885894219, 0.12643718644976615, -0.383549992284841, -0.24124877730177507, 0.05484800036582682, 0.15128892289681567, 0.24910969942898697, -0.10383051839760608, -0.3005311167074574, 0.03342974731284711, -0.22384288950512807, -0.1279125385089881, -0.09098842421339617, -0.002076381693283717, -0.13402450672454305, -0.18689952194690704, 0.1459196884598997, 0.05648878928687837, -0.0958764028425018, -0.1601141506909496, 0.035936003470689884, -0.026092568122678333, 0.0592663974294232, 0.13953964560706583, -0.0164719523034162, 0.23670216042341458, 0.031944445189502506, -0.14951095394790173, 0.3085331856376595, -0.11384868433492051, -0.1578681103885174, 0.15662210311016275, -0.31276667022870647, -0.01690547799484597, 0.07017294839024543, 0.09756310644249121, 0.2423281046975818, -0.195240570532365, 0.12047129257633868, 0.03113543147014247, 0.11847252204703788, 0.16886391144038904, 0.021264770447224794, 0.34663597332934537, 0.11376774954713054, 0.0076582492950061955, 0.1971791819565826, -0.1550278322874672, -0.060532150076081356, -0.2959226514730189, -0.26065415143966675, -0.23424872400032148, 0.13656829283055333, -0.1561424269024024, -0.19014667506433194, 0.3166840880281395, 0.25532813819332256, 0.1765723364220725, 0.04464861491902007, 0.264081260898254, 0.11143147124805385, -0.04025706698497136, 0.10300196196056075, 0.2880518534531196, 0.14715123282124598, 0.1594871549660133, -0.3158040266070101, -0.13100703380381068, 0.10499858086307844] |
710.0613 | Back-door fine-tuning in supersymmetric low scale inflation | Low scale inflation has many virtues and it has been claimed that its natural
realisation in supersymmetric standard model can be achieved rather easily. In
this letter we have demonstrated that also in this case the dynamics of the
hidden sector responsible for supersymmetry breakdown and the structure of the
soft terms affects significantly, and in fact often spoils, the would-be
inflationary dynamics. Also, we point out that the issue if the cosmological
constant cancellation in the post-inflationary vacuum strongly affects
supersymmetric inflation. It is important to note the crucial difference
between freezing of the modulus and actually stabilising it - the first
approach misses parts of the scalar potential which turn out to be relevant for
inflation. We argue, that it is more likely that the low scale supersymmetric
inflation occurs at a critical point at the origin in the field space than at
an inflection point away from the origin, as the necessary fine-tuning in the
second case is typically larger.
| hep-th | low scale inflation has many virtues and it has been claimed that its natural realisation in supersymmetric standard model can be achieved rather easily in this letter we have demonstrated that also in this case the dynamics of the hidden sector responsible for supersymmetry breakdown and the structure of the soft terms affects significantly and in fact often spoils the wouldbe inflationary dynamics also we point out that the issue if the cosmological constant cancellation in the postinflationary vacuum strongly affects supersymmetric inflation it is important to note the crucial difference between freezing of the modulus and actually stabilising it the first approach misses parts of the scalar potential which turn out to be relevant for inflation we argue that it is more likely that the low scale supersymmetric inflation occurs at a critical point at the origin in the field space than at an inflection point away from the origin as the necessary finetuning in the second case is typically larger | [['low', 'scale', 'inflation', 'has', 'many', 'virtues', 'and', 'it', 'has', 'been', 'claimed', 'that', 'its', 'natural', 'realisation', 'in', 'supersymmetric', 'standard', 'model', 'can', 'be', 'achieved', 'rather', 'easily', 'in', 'this', 'letter', 'we', 'have', 'demonstrated', 'that', 'also', 'in', 'this', 'case', 'the', 'dynamics', 'of', 'the', 'hidden', 'sector', 'responsible', 'for', 'supersymmetry', 'breakdown', 'and', 'the', 'structure', 'of', 'the', 'soft', 'terms', 'affects', 'significantly', 'and', 'in', 'fact', 'often', 'spoils', 'the', 'wouldbe', 'inflationary', 'dynamics', 'also', 'we', 'point', 'out', 'that', 'the', 'issue', 'if', 'the', 'cosmological', 'constant', 'cancellation', 'in', 'the', 'postinflationary', 'vacuum', 'strongly', 'affects', 'supersymmetric', 'inflation', 'it', 'is', 'important', 'to', 'note', 'the', 'crucial', 'difference', 'between', 'freezing', 'of', 'the', 'modulus', 'and', 'actually', 'stabilising', 'it', 'the', 'first', 'approach', 'misses', 'parts', 'of', 'the', 'scalar', 'potential', 'which', 'turn', 'out', 'to', 'be', 'relevant', 'for', 'inflation', 'we', 'argue', 'that', 'it', 'is', 'more', 'likely', 'that', 'the', 'low', 'scale', 'supersymmetric', 'inflation', 'occurs', 'at', 'a', 'critical', 'point', 'at', 'the', 'origin', 'in', 'the', 'field', 'space', 'than', 'at', 'an', 'inflection', 'point', 'away', 'from', 'the', 'origin', 'as', 'the', 'necessary', 'finetuning', 'in', 'the', 'second', 'case', 'is', 'typically', 'larger']] | [-0.11064949341011981, 0.1696608590579593, -0.10779351762346463, 0.12056483205387737, -0.06060407985933125, -0.12855657201501422, 0.0044493040825918685, 0.3256912179187768, -0.2644085260970449, -0.28787093525637447, 0.11741917306646406, -0.23017463944191227, -0.19134635490905724, 0.15701431444742614, -0.039322592703234634, 0.001909410712858202, 0.007948859423732408, 0.060088440468304874, -0.029114837187664284, -0.25516473737553935, 0.32330610284029887, 0.11041603282375698, 0.251925201127938, 0.0744120196128885, 0.07721054705469237, -0.058647151521901475, 0.04179286314347, -0.015649147870135494, -0.08859932252726364, 0.06324318268071906, 0.18660707865916423, 0.08921016377747565, 0.24103208119193392, -0.39721607180013335, -0.23289923786105196, 0.19057170211561714, 0.17721222282996701, 0.12774533575420832, -0.03683168309021031, -0.22942261781003095, 0.10751239847345853, -0.126657585133396, -0.1387400492899304, -0.05984628556963102, 0.01586522490007481, -0.13206748670702914, -0.225499324206648, 0.09292039397656975, 0.03607397987852218, 0.008283973085107628, -0.009180060949285779, -0.06411531892458529, -0.05418991123291629, 0.06496224637764196, 0.15177582040713686, 0.053930699106673766, 0.1467387823353487, -0.19453693312638795, -0.051787878712208045, 0.4263748497483723, -0.07929568733622243, -0.15889871610547013, 0.1759920741379675, -0.16325675507857937, -0.18380772851315547, 0.13871320603806295, 0.08759899876068955, 0.10010605869975722, -0.11859018654012075, 0.14696013068609273, 0.009544274222858848, 0.16371850796416834, 0.09048709435744878, 0.036005345831429704, 0.30048784385952687, 0.160189994061107, 0.06729662668981796, 0.11908260496465466, -0.0465056044595707, -0.14106182409105478, -0.39189476516948624, -0.12156419537352099, -0.16850596495593587, 0.03829957289839692, -0.09754922700848971, -0.12876063416250097, 0.3833828274373333, 0.20882869201689314, 0.19714085305868476, -0.0045872423337933455, 0.2552125324368661, 0.11855907727070268, 0.1014523605318786, 0.051614772571526746, 0.32464318934046194, 0.04768773218340896, 0.1353334489585792, -0.220205992793867, 0.028408830925063404, 0.03411605766181041] |
710.0614 | Using Full Information When Computing Modes of Post-Newtonian Waveforms
From Inspiralling Compact Binaries in Circular Orbit | The increasing sophistication and accuracy of numerical simulations of
compact binaries (especially binary black holes) presents the opportunity to
test the regime in which post-Newtonian (PN) predictions for the emitted
gravitational waves are accurate. In order to confront numerical results with
those of post-Newtonian theory, it is convenient to compare multipolar
decompositions of the two waveforms. It is pointed out here that the individual
modes can be computed to higher post-Newtonian order by examining the radiative
multipole moments of the system, rather than by decomposing the 2.5PN
polarization waveforms. In particular, the dominant (l = 2, m = 2) mode can be
computed to 3PN order. Individual modes are computed to as high a
post-Newtonian order as possible given previous post-Newtonian results.
| gr-qc | the increasing sophistication and accuracy of numerical simulations of compact binaries especially binary black holes presents the opportunity to test the regime in which postnewtonian pn predictions for the emitted gravitational waves are accurate in order to confront numerical results with those of postnewtonian theory it is convenient to compare multipolar decompositions of the two waveforms it is pointed out here that the individual modes can be computed to higher postnewtonian order by examining the radiative multipole moments of the system rather than by decomposing the 25pn polarization waveforms in particular the dominant l 2 m 2 mode can be computed to 3pn order individual modes are computed to as high a postnewtonian order as possible given previous postnewtonian results | [['the', 'increasing', 'sophistication', 'and', 'accuracy', 'of', 'numerical', 'simulations', 'of', 'compact', 'binaries', 'especially', 'binary', 'black', 'holes', 'presents', 'the', 'opportunity', 'to', 'test', 'the', 'regime', 'in', 'which', 'postnewtonian', 'pn', 'predictions', 'for', 'the', 'emitted', 'gravitational', 'waves', 'are', 'accurate', 'in', 'order', 'to', 'confront', 'numerical', 'results', 'with', 'those', 'of', 'postnewtonian', 'theory', 'it', 'is', 'convenient', 'to', 'compare', 'multipolar', 'decompositions', 'of', 'the', 'two', 'waveforms', 'it', 'is', 'pointed', 'out', 'here', 'that', 'the', 'individual', 'modes', 'can', 'be', 'computed', 'to', 'higher', 'postnewtonian', 'order', 'by', 'examining', 'the', 'radiative', 'multipole', 'moments', 'of', 'the', 'system', 'rather', 'than', 'by', 'decomposing', 'the', '25pn', 'polarization', 'waveforms', 'in', 'particular', 'the', 'dominant', 'l', '2', 'm', '2', 'mode', 'can', 'be', 'computed', 'to', '3pn', 'order', 'individual', 'modes', 'are', 'computed', 'to', 'as', 'high', 'a', 'postnewtonian', 'order', 'as', 'possible', 'given', 'previous', 'postnewtonian', 'results']] | [-0.16892804755286003, 0.10585881296234827, -0.042359260159234205, 0.08508623730619244, -0.09267400198344451, -0.06586988923372701, -0.016240549530872766, 0.3337970590296512, -0.17794383252039553, -0.3421138648254176, 0.03759714042632065, -0.3038257593599459, -0.08834785348153673, 0.23194934602943248, 0.03656669770522664, 0.08040001975217213, 0.05830171188960473, 0.000983408095392709, -0.10606950245807335, -0.23901647306023127, 0.2896128314120385, 0.12747148517276705, 0.13465029799457018, -0.05486231550263862, 0.034702823124825956, -0.052105811158738406, -0.04201157223821307, 0.024409697876156617, -0.12236723309839968, 0.08108809698217859, 0.30233203899115324, 0.06927058854683613, 0.19539315551519393, -0.4208782243076712, -0.2041198967936604, 0.01815717322169803, 0.16802905696288992, 0.16059777716194124, 0.013049810007214547, -0.2646103548555402, 0.12646497942041607, -0.2689801174060752, -0.14801285939781034, -0.1554225076067572, 0.06354609130648896, 0.026754266400045405, -0.2833131050147737, 0.06503166533851375, 0.06340101892516638, -0.051614906704829384, -0.04282103111424173, -0.11513846977904904, -0.05019164437859824, 0.13051520620647353, 0.0941513582249172, 0.08254709513857961, 0.08143002695869654, -0.08991074716565588, -0.12020238604939854, 0.43501585148430116, -0.06390978091767466, -0.19872294759358436, 0.17148261957530242, -0.2668818949178482, -0.07973690578170742, 0.1674090602512782, 0.18138950579450466, 0.18126652014131348, -0.12589487752023462, 0.05049211230701379, 0.11423131106615377, 0.18258037854490491, 0.11472844684806963, 0.011969055404188111, 0.27402130744497605, 0.10723562055985288, -0.031778350597596726, 0.10921681765272903, -0.09159135826242466, -0.06459269606518016, -0.27311570826374615, -0.07965220616594403, -0.1749597676648894, 0.03183483768564959, -0.1485756602195276, -0.11108640843691925, 0.3723847141644607, 0.16412995919041956, 0.12015683925710618, 0.06420028440285629, 0.3424614607915828, 0.15912922279385383, 0.016734973810768376, 0.04428346622929288, 0.362636678169171, 0.14264525796994956, 0.012868606401995445, -0.21615397092731048, -0.0032722446446617442, 0.07784518413633729] |
710.0615 | Magnetic relaxation in the Bianchi-I universe | Extended Einstein-Maxwell model and its application to the problem of
evolution of magnetized Bianchi-I Universe are considered. The evolution of
medium magnetization is governed by a relaxation type extended constitutive
equation. The series of exact solutions to the extended master equations is
obtained and discussed. The anisotropic expansion of the Bianchi-I Universe is
shown to become non-monotonic (accelerated/decelerated) in both principal
directions (along the magnetic field and orthogonal to it). A specific type of
expansion, the so-called evolution with hidden magnetic field, is shown to
appear when the magnetization effectively screens the magnetic field and the
latter disappears from the equations for gravitational field.
| gr-qc astro-ph hep-th | extended einsteinmaxwell model and its application to the problem of evolution of magnetized bianchii universe are considered the evolution of medium magnetization is governed by a relaxation type extended constitutive equation the series of exact solutions to the extended master equations is obtained and discussed the anisotropic expansion of the bianchii universe is shown to become nonmonotonic accelerateddecelerated in both principal directions along the magnetic field and orthogonal to it a specific type of expansion the socalled evolution with hidden magnetic field is shown to appear when the magnetization effectively screens the magnetic field and the latter disappears from the equations for gravitational field | [['extended', 'einsteinmaxwell', 'model', 'and', 'its', 'application', 'to', 'the', 'problem', 'of', 'evolution', 'of', 'magnetized', 'bianchii', 'universe', 'are', 'considered', 'the', 'evolution', 'of', 'medium', 'magnetization', 'is', 'governed', 'by', 'a', 'relaxation', 'type', 'extended', 'constitutive', 'equation', 'the', 'series', 'of', 'exact', 'solutions', 'to', 'the', 'extended', 'master', 'equations', 'is', 'obtained', 'and', 'discussed', 'the', 'anisotropic', 'expansion', 'of', 'the', 'bianchii', 'universe', 'is', 'shown', 'to', 'become', 'nonmonotonic', 'accelerateddecelerated', 'in', 'both', 'principal', 'directions', 'along', 'the', 'magnetic', 'field', 'and', 'orthogonal', 'to', 'it', 'a', 'specific', 'type', 'of', 'expansion', 'the', 'socalled', 'evolution', 'with', 'hidden', 'magnetic', 'field', 'is', 'shown', 'to', 'appear', 'when', 'the', 'magnetization', 'effectively', 'screens', 'the', 'magnetic', 'field', 'and', 'the', 'latter', 'disappears', 'from', 'the', 'equations', 'for', 'gravitational', 'field']] | [-0.1724979312297924, 0.1277826730735027, -0.08096800897664462, 0.07796854502969207, -0.12329025152408016, -0.09517712668569472, -0.08288712557763435, 0.31976278179969925, -0.2851827889501762, -0.25834073953760356, 0.10872478370639818, -0.23272626070628086, -0.1038489455375104, 0.17489830459817313, 0.05977787970019003, -0.009061062397869626, -0.039303603649246864, 0.053298946908818416, -0.060943748318375304, -0.24537577342170364, 0.3430153121992659, 0.03129187774342986, 0.2845609215773248, -0.021054985230036367, 0.1173731992379404, -0.01611409429460764, -0.007082201889716089, 0.10654379039680442, -0.11539299436173259, 0.04448566066723568, 0.19234084975547516, 0.03188548576592719, 0.1990974131040275, -0.43482600392487186, -0.23869527314449301, 0.040189336774906576, 0.1801592253658992, 0.15773912539813095, -0.02953669795085891, -0.2960157556584678, 0.020946550420306336, -0.12253106989038105, -0.22552727195523822, -0.05237660991350332, 0.026849255319505643, 0.020790146117528472, -0.2700294894166291, 0.11593442316202876, 0.0536929858633532, -0.013118363184800658, -0.1543558946633801, -0.04724490133342512, -0.0327870634276993, 0.03264558938910621, 0.12961375835472538, 0.06692963333513874, 0.12285708273366953, -0.15599099937109992, -0.055952887346323296, 0.37568902327285075, -0.10292369829123625, -0.17176931975588489, 0.12672986878673187, -0.17470230272738263, -0.08845973550342023, 0.1490929654593436, 0.10449236195731479, 0.12022335654070887, -0.17501365896070917, 0.13352504380432387, 0.04088334343843879, 0.10147885414950836, 0.048383881024514824, -0.021988306060218468, 0.24758081528796957, 0.13372669432339115, -0.0041252500377595425, 0.15943190440213165, -0.02706553595355497, -0.14727006926953506, -0.3003430090790901, -0.1468631647204837, -0.15923907855400243, 0.08345932491983359, -0.1280091093050522, -0.21764384357140024, 0.38207134443263596, 0.1351288657148801, 0.11710408871742682, -0.03676796513788689, 0.24257804105470243, 0.15406162496051715, 0.04827231766494851, 0.11655877430278522, 0.25934162324903387, 0.2522691218473483, 0.1819131644621778, -0.2938171197579672, 0.02178173019190301, 0.06941748016218369] |
710.0616 | Nanofilters for Optical Nanocircuits | We theoretically and numerically study the design of optical 'lumped'
nanofiltering devices in the framework of our recently proposed paradigm for
optical nanocircuits. In particular, we present the design of basic filtering
elements, such as low-pass, band-pass, stop-band and high-pass 'lumped'
nanofilters, for use in optical nanocircuits together with more complex
designs, such as multi-zero or multi-pole nanofilters, to work at THz, infrared
and optical frequencies. Following the nanocircuit theory, we show how it is
possible to design such complex frequency responses by simple rules, similar to
RF circuit design, and we compare the frequency response of these optical
nanofilters with classic filters in RF circuits. These results may provide a
theoretical foundation for fabricating nanofilters in optical lumped
nanocircuit devices.
| cond-mat.mtrl-sci | we theoretically and numerically study the design of optical lumped nanofiltering devices in the framework of our recently proposed paradigm for optical nanocircuits in particular we present the design of basic filtering elements such as lowpass bandpass stopband and highpass lumped nanofilters for use in optical nanocircuits together with more complex designs such as multizero or multipole nanofilters to work at thz infrared and optical frequencies following the nanocircuit theory we show how it is possible to design such complex frequency responses by simple rules similar to rf circuit design and we compare the frequency response of these optical nanofilters with classic filters in rf circuits these results may provide a theoretical foundation for fabricating nanofilters in optical lumped nanocircuit devices | [['we', 'theoretically', 'and', 'numerically', 'study', 'the', 'design', 'of', 'optical', 'lumped', 'nanofiltering', 'devices', 'in', 'the', 'framework', 'of', 'our', 'recently', 'proposed', 'paradigm', 'for', 'optical', 'nanocircuits', 'in', 'particular', 'we', 'present', 'the', 'design', 'of', 'basic', 'filtering', 'elements', 'such', 'as', 'lowpass', 'bandpass', 'stopband', 'and', 'highpass', 'lumped', 'nanofilters', 'for', 'use', 'in', 'optical', 'nanocircuits', 'together', 'with', 'more', 'complex', 'designs', 'such', 'as', 'multizero', 'or', 'multipole', 'nanofilters', 'to', 'work', 'at', 'thz', 'infrared', 'and', 'optical', 'frequencies', 'following', 'the', 'nanocircuit', 'theory', 'we', 'show', 'how', 'it', 'is', 'possible', 'to', 'design', 'such', 'complex', 'frequency', 'responses', 'by', 'simple', 'rules', 'similar', 'to', 'rf', 'circuit', 'design', 'and', 'we', 'compare', 'the', 'frequency', 'response', 'of', 'these', 'optical', 'nanofilters', 'with', 'classic', 'filters', 'in', 'rf', 'circuits', 'these', 'results', 'may', 'provide', 'a', 'theoretical', 'foundation', 'for', 'fabricating', 'nanofilters', 'in', 'optical', 'lumped', 'nanocircuit', 'devices']] | [-0.0928427950946708, 0.08264538665701236, -0.016001993551568575, -0.06152916487067656, -0.10681096458917155, -0.18619369517839632, 0.029587194371475455, 0.5235632857260835, -0.22043704520519666, -0.2704102277223553, 0.08369387316756233, -0.2255652765469516, -0.244289516215017, 0.279201839577031, -0.05996289108527683, 0.12417412466299133, -0.02623947464250529, -0.07809064565632422, -0.011530094708124286, -0.1249155649187008, 0.21754012530192168, 0.06460319995535772, 0.3170967304280826, -0.013516326716654942, 0.07396919870340195, 0.008751778573799534, -0.0012176679408162081, -0.00493664265524189, -0.10569620641151897, 0.14231319961474598, 0.33704630270631625, 0.06243371231356213, 0.24908264423427054, -0.47342209647871364, -0.23014014182972306, 0.049553849507404976, 0.1294624151920258, 0.11947261101537884, -0.07380458443416302, -0.2176183109805614, 0.06447948797159836, -0.1473497774905893, -0.11751845903169293, -0.0957664037257836, -0.012350328110095834, 0.07591508292718281, -0.2603860731870562, -0.0415784591934135, 0.041756372581854335, 0.08265604404341273, -0.02635735668904273, -0.12194933093489468, 0.055337815355713, 0.05752349803576387, -0.11629680234805814, -0.06931706143644865, 0.139526423051202, -0.09647530725836254, -0.14961752834722025, 0.3610859942786834, -0.046316321407045634, -0.13096329349116617, 0.16374143185250523, -0.0817380572665295, -0.049625661255431774, 0.07272868345202017, 0.20299692328886262, 0.04833352545759555, -0.16359766448863602, 0.0014315121689764392, 0.027589638058111824, 0.18247880621132354, 0.07725924214332544, 0.1453960407525301, 0.21884179294124997, 0.21630528669201715, 0.020555161698838743, 0.16474053202032604, -0.08038682252669535, 0.023892421525327816, -0.26471783788170383, -0.13542027090198727, -0.17024388451113545, 0.031629689327370716, -0.05625377215607436, -0.17633730881385692, 0.4295615474967396, 0.21782581177207508, 0.13253242987870364, 0.0180371121479934, 0.3819854948826197, 0.13857673098697101, 0.1203145294434571, 0.00542628373402883, 0.27248343051325125, 0.15088703867024547, 0.13192628020765024, -0.22880086859594248, -0.06304330390510189, 0.005905975368531311] |
710.0617 | Numerical evidence of regularized correlations in spin foam gravity | We report on the numerical analysis of the area correlations in spin foam
gravity on a single 4-simplex considered by Rovelli in PRL 97 (2006) 151301. We
compare the asymptotics and confirm the inverse squared distance leading
behaviour at large scales. This supports the recent advances on testing the
semiclassical limit of the theory. Furthermore, we show that the microscopic
discreteness of the theory dynamically suppresses and regularizes the
correlations at the Planck scale.
| gr-qc hep-th | we report on the numerical analysis of the area correlations in spin foam gravity on a single 4simplex considered by rovelli in prl 97 2006 151301 we compare the asymptotics and confirm the inverse squared distance leading behaviour at large scales this supports the recent advances on testing the semiclassical limit of the theory furthermore we show that the microscopic discreteness of the theory dynamically suppresses and regularizes the correlations at the planck scale | [['we', 'report', 'on', 'the', 'numerical', 'analysis', 'of', 'the', 'area', 'correlations', 'in', 'spin', 'foam', 'gravity', 'on', 'a', 'single', '4simplex', 'considered', 'by', 'rovelli', 'in', 'prl', '97', '2006', '151301', 'we', 'compare', 'the', 'asymptotics', 'and', 'confirm', 'the', 'inverse', 'squared', 'distance', 'leading', 'behaviour', 'at', 'large', 'scales', 'this', 'supports', 'the', 'recent', 'advances', 'on', 'testing', 'the', 'semiclassical', 'limit', 'of', 'the', 'theory', 'furthermore', 'we', 'show', 'that', 'the', 'microscopic', 'discreteness', 'of', 'the', 'theory', 'dynamically', 'suppresses', 'and', 'regularizes', 'the', 'correlations', 'at', 'the', 'planck', 'scale']] | [-0.12900381366728664, 0.13314679643611282, -0.10001868780141007, 0.08414143995439302, 0.003672948030576314, -0.035880671893820576, 0.031850852324206334, 0.27942014541732124, -0.22576414207666348, -0.29222693705089287, 0.06584784738107087, -0.3305852583048176, -0.1563954947592869, 0.16139322253939223, -0.03859033149169528, 0.04743218996038992, 0.023547210577518157, 0.003593669974640624, -0.09745361616082285, -0.22130589611981422, 0.3041174189532048, 0.1316060091126455, 0.3309590713924741, 0.10232840325964028, 0.11699213293597918, 0.04281263125499021, -0.0728238321687669, 0.027442108559077732, -0.19458043510590645, 0.10166709405714519, 0.14058982359551608, 0.030479511163159185, 0.23574009994427636, -0.43434822867139666, -0.23418394249085694, -0.01037028326002294, 0.0951297117320642, 0.15365584804485105, 0.0002488877691251979, -0.2848926707719491, 0.03519942841734992, -0.15289797063610733, -0.13265198828933172, -0.060496461564955646, 0.051091658921070295, -0.05027686314631815, -0.2198185381552919, 0.15193291728014816, 0.03956211965263196, 0.03542439393341949, -0.03470153425986024, -0.0784513991619524, 0.03276333573899449, 0.09374080142261434, 0.05151267002706658, 0.011632805108092725, 0.11605878951895522, -0.10981324758725114, -0.14006185115710512, 0.31308854904587136, -0.09950089436789898, -0.15678518445371356, 0.18017639982042044, -0.20656763257184513, -0.15318783888057486, 0.0644836782235397, 0.14743426998388276, 0.10795332632930184, -0.08094270463573607, 0.1681541574860553, -0.03285522866445555, 0.1809747303797774, 0.07790398672988562, 0.04176777882552515, 0.23557790419826768, 0.16958801552959502, -0.00029459113433752973, 0.12862184250803843, -0.14309678790924993, -0.13806310826784943, -0.3489909171292635, -0.1002842022061399, -0.22171302121898082, 0.060016513714400976, -0.12207033260596266, -0.12972634192556143, 0.36382560217625476, 0.20326033296471793, 0.21924357199148364, 0.11068260985724022, 0.2272775960601356, 0.08485905664067155, 0.06647546949145729, 0.08127287564773673, 0.307005058616808, 0.1258363231078862, 0.10769858628779344, -0.31825114015732214, 0.012450016520308228, 0.05047043688493232] |
710.0618 | Anosov AdS representations are quasi-Fuchsian | Let Gamma be a cocompact lattice in SO(1,n). A representation rho: Gamma \to
SO(2,n) is quasi-Fuchsian if it is faithfull, discrete, and preserves an
acausal subset in the boundary of anti-de Sitter space - a particular case is
the case of Fuchsian representations, ie. composition of the inclusions of
Gamma in SO(1,n) and of SO(1,n) in SO(2,n). We prove that if a representation
is Anosov in the sense of Labourie then it is also quasi-Fuchsian. We also show
that Fuchsian representations are Anosov : the fact that all quasi-Fuchsian
representations are Anosov will be proved in a second part by T. Barbot. The
study involves the geometry of locally anti-de Sitter spaces: quasi-Fuchsian
representations are holonomy representations of globally hyperbolic spacetimes
diffeomorphic to the product R \times Gamma\H^n and locally modeled on the
anti-de Sitter space.
| math.DG math.RT | let gamma be a cocompact lattice in so1n a representation rho gamma to so2n is quasifuchsian if it is faithfull discrete and preserves an acausal subset in the boundary of antide sitter space a particular case is the case of fuchsian representations ie composition of the inclusions of gamma in so1n and of so1n in so2n we prove that if a representation is anosov in the sense of labourie then it is also quasifuchsian we also show that fuchsian representations are anosov the fact that all quasifuchsian representations are anosov will be proved in a second part by t barbot the study involves the geometry of locally antide sitter spaces quasifuchsian representations are holonomy representations of globally hyperbolic spacetimes diffeomorphic to the product r times gammahn and locally modeled on the antide sitter space | [['let', 'gamma', 'be', 'a', 'cocompact', 'lattice', 'in', 'so1n', 'a', 'representation', 'rho', 'gamma', 'to', 'so2n', 'is', 'quasifuchsian', 'if', 'it', 'is', 'faithfull', 'discrete', 'and', 'preserves', 'an', 'acausal', 'subset', 'in', 'the', 'boundary', 'of', 'antide', 'sitter', 'space', 'a', 'particular', 'case', 'is', 'the', 'case', 'of', 'fuchsian', 'representations', 'ie', 'composition', 'of', 'the', 'inclusions', 'of', 'gamma', 'in', 'so1n', 'and', 'of', 'so1n', 'in', 'so2n', 'we', 'prove', 'that', 'if', 'a', 'representation', 'is', 'anosov', 'in', 'the', 'sense', 'of', 'labourie', 'then', 'it', 'is', 'also', 'quasifuchsian', 'we', 'also', 'show', 'that', 'fuchsian', 'representations', 'are', 'anosov', 'the', 'fact', 'that', 'all', 'quasifuchsian', 'representations', 'are', 'anosov', 'will', 'be', 'proved', 'in', 'a', 'second', 'part', 'by', 't', 'barbot', 'the', 'study', 'involves', 'the', 'geometry', 'of', 'locally', 'antide', 'sitter', 'spaces', 'quasifuchsian', 'representations', 'are', 'holonomy', 'representations', 'of', 'globally', 'hyperbolic', 'spacetimes', 'diffeomorphic', 'to', 'the', 'product', 'r', 'times', 'gammahn', 'and', 'locally', 'modeled', 'on', 'the', 'antide', 'sitter', 'space']] | [-0.17085855034060946, 0.2025684312212892, -0.13563145174035676, 0.06565601675669641, -0.1251473059576649, -0.10102831213419936, -0.08955594087089587, 0.39354714296786186, -0.2683847293089655, -0.11242378226488381, 0.13163886557305163, -0.29142404896648305, -0.1825619802960804, 0.17518171881976768, -0.16221409199209674, -0.015848454333057527, 0.05640355515629893, 0.14234193619620755, -0.10906372462483332, -0.27052782537569675, 0.4152445365443714, -0.06612055911507486, 0.23196075003440106, -0.003929644255877885, 0.12034573047106764, -0.03190949433693256, -0.01230545968072895, -0.020723466613921653, -0.14304248113932458, 0.08535829247710736, 0.3184190654454935, 0.04530510583479321, 0.15778082206887298, -0.34234526385273084, -0.23101506045410283, 0.20929836359354703, 0.17047298814632222, -0.008913949244004443, -0.01799004332992227, -0.362885886533676, 0.11635726838043534, -0.1296563124200119, -0.14404010852182605, -0.09789693290787868, 0.06901296013896178, -0.09326455281536214, -0.21173743249610402, 0.055757299614842645, 0.13154695548040135, 0.04743099790696699, -0.11222300481023197, -0.014359336801545513, -0.1073477113360357, 0.10393449709281549, 0.041165052195380726, 0.09523230080520804, 0.08721357296900194, -0.0590759213817747, -0.06247628739055971, 0.40737464949768737, -0.06226317009703025, -0.3271014337196834, 0.14382859544926568, -0.21697871259210588, -0.18758720146576152, 0.13676639657845735, 0.14182339499431446, 0.17685039246216752, -0.04577874380366919, 0.2802556966719414, -0.1256152899836057, 0.07665938327239505, 0.10110384451673556, -0.05112290423349442, 0.13202125250004737, 0.08448056601989258, 0.12542352505742496, 0.11871175183844578, 0.06413466196867841, 0.007058425621773796, -0.4023239395784256, -0.23613742890564682, -0.14041698731646585, 0.143103401218646, -0.14827232972748974, -0.19716155569636284, 0.2883087612086333, -0.014179494123401722, 0.14207125692523287, 0.11683212837582468, 0.17917829715555772, 0.03777904910275264, 0.01893923491855761, 0.1712882402142916, 0.1461968319227961, 0.15343521595092252, -0.045649134256365825, -0.14785928366976245, -0.08055186923593283, 0.256869039736352] |
710.0619 | Unresolved Unidentified Source Contribution to the Gamma-ray Background | The large majority of EGRET point sources remain without an identified
low-energy counterpart, and a large fraction of these sources are most likely
extragalactic. Whatever the nature of the extragalactic EGRET unidentified
sources, faint unresolved objects of the same class must have a contribution to
the diffuse extragalactic gamma-ray background (EGRB). Understanding this
component of the EGRB, along with other guaranteed contributions from known
sources, is essential if we are to use this emission to constrain exotic
high-energy physics. Here, we follow an empirical approach to estimate whether
a potential contribution of unidentified sources to the EGRB is likely to be
important, and we find that it is. Additionally, we show how upcoming GLAST
observations of EGRET unidentified sources, as well as of their fainter
counterparts, can be combined with GLAST observations of the Galactic and
extragalactic diffuse backgrounds to shed light on the nature of the EGRET
unidentified sources even without any positional association of such sources
with low-energy counterparts.
| astro-ph | the large majority of egret point sources remain without an identified lowenergy counterpart and a large fraction of these sources are most likely extragalactic whatever the nature of the extragalactic egret unidentified sources faint unresolved objects of the same class must have a contribution to the diffuse extragalactic gammaray background egrb understanding this component of the egrb along with other guaranteed contributions from known sources is essential if we are to use this emission to constrain exotic highenergy physics here we follow an empirical approach to estimate whether a potential contribution of unidentified sources to the egrb is likely to be important and we find that it is additionally we show how upcoming glast observations of egret unidentified sources as well as of their fainter counterparts can be combined with glast observations of the galactic and extragalactic diffuse backgrounds to shed light on the nature of the egret unidentified sources even without any positional association of such sources with lowenergy counterparts | [['the', 'large', 'majority', 'of', 'egret', 'point', 'sources', 'remain', 'without', 'an', 'identified', 'lowenergy', 'counterpart', 'and', 'a', 'large', 'fraction', 'of', 'these', 'sources', 'are', 'most', 'likely', 'extragalactic', 'whatever', 'the', 'nature', 'of', 'the', 'extragalactic', 'egret', 'unidentified', 'sources', 'faint', 'unresolved', 'objects', 'of', 'the', 'same', 'class', 'must', 'have', 'a', 'contribution', 'to', 'the', 'diffuse', 'extragalactic', 'gammaray', 'background', 'egrb', 'understanding', 'this', 'component', 'of', 'the', 'egrb', 'along', 'with', 'other', 'guaranteed', 'contributions', 'from', 'known', 'sources', 'is', 'essential', 'if', 'we', 'are', 'to', 'use', 'this', 'emission', 'to', 'constrain', 'exotic', 'highenergy', 'physics', 'here', 'we', 'follow', 'an', 'empirical', 'approach', 'to', 'estimate', 'whether', 'a', 'potential', 'contribution', 'of', 'unidentified', 'sources', 'to', 'the', 'egrb', 'is', 'likely', 'to', 'be', 'important', 'and', 'we', 'find', 'that', 'it', 'is', 'additionally', 'we', 'show', 'how', 'upcoming', 'glast', 'observations', 'of', 'egret', 'unidentified', 'sources', 'as', 'well', 'as', 'of', 'their', 'fainter', 'counterparts', 'can', 'be', 'combined', 'with', 'glast', 'observations', 'of', 'the', 'galactic', 'and', 'extragalactic', 'diffuse', 'backgrounds', 'to', 'shed', 'light', 'on', 'the', 'nature', 'of', 'the', 'egret', 'unidentified', 'sources', 'even', 'without', 'any', 'positional', 'association', 'of', 'such', 'sources', 'with', 'lowenergy', 'counterparts']] | [-0.05229649423210887, 0.14072590386831224, -0.057575486678491286, 0.20199733499440464, -0.18535737372553035, -0.0667659766763819, 0.08051322365573012, 0.44744426224912914, -0.20057121956191656, -0.3858316706273682, 0.03717553302477929, -0.40271037819749034, -0.03437149642586349, 0.22523041742836467, -0.03661001794711218, -0.031412937767335114, 0.03206142655903508, -0.07967877034560679, 0.04540310785035539, -0.2523560129967952, 0.28771540573769194, 0.1611786757520637, 0.1694731975743628, 0.04304736052923228, 0.057289849822149144, -0.08441127194323061, -0.11633730704335045, -0.05189317812194458, -0.012766019674243987, 0.10169127090076296, 0.2836579140145563, 0.10578457642381328, 0.12409147793161017, -0.33042315024628033, -0.2757217442357959, 0.19204595539594496, 0.16735007636891158, 0.04419323038136274, -0.05199776109530712, -0.33812849437065934, 0.06394252497670298, -0.12631490207653237, -0.2391072421259484, 0.004501275595289117, -0.016548671068403846, 0.03839405825916932, -0.10752367141500394, 0.08074564074877627, 0.016952328657245507, 0.01056871695085342, -0.14259581540433564, -0.12024384693340948, 0.023810257054923206, 0.10827882066426903, 0.11154025348528109, 0.07190295625825106, 0.13185638915646172, -0.2069847973798234, -0.14620429790804382, 0.4303699495814602, -0.03365669641875147, -0.05903882441336509, 0.20876971992045085, -0.17687266296924017, -0.267965947911259, 0.20594135512632566, 0.16436982824993523, 0.0775146960421474, -0.2128718454616364, 0.03158252728164416, -0.0059960201579313845, 0.2170151937993385, -0.02205155130406344, 0.13774065111520822, 0.3094662349925648, 0.10006722387632136, 0.06941300794997061, 0.13201116550003716, -0.25687086391580866, 0.026165185010303623, -0.33475752993666147, -0.06073918770593793, -0.15571877478350024, 0.16188535145454988, -0.041066460476003104, -0.13093496531086124, 0.3184639473173837, 0.17498735141483432, 0.1675307012476918, -0.01774459385952293, 0.3124358046941621, 0.05788902568873828, 0.07383512195217082, 0.13980172341111005, 0.36207778656982487, 0.09887786975465947, 0.033732999777797354, -0.13560728298829902, 0.09716658667597619, -0.0661539148296351] |
710.062 | Deforming, revolving and resolving - New paths in the string theory
landscape | In this paper we investigate the properties of series of vacua in the string
theory landscape. In particular, we study minima to the flux potential in type
IIB compactifications on the mirror quintic. Using geometric transitions, we
embed its one dimensional complex structure moduli space in that of another
Calabi-Yau with h^{1,1}=86 and h^{2,1}=2. We then show how to construct
infinite series of continuously connected minima to the mirror quintic
potential by moving into this larger moduli space, applying its monodromies,
and moving back. We provide an example of such series, and discuss their
implications for the string theory landscape.
| hep-th math.AG math.DG | in this paper we investigate the properties of series of vacua in the string theory landscape in particular we study minima to the flux potential in type iib compactifications on the mirror quintic using geometric transitions we embed its one dimensional complex structure moduli space in that of another calabiyau with h1186 and h212 we then show how to construct infinite series of continuously connected minima to the mirror quintic potential by moving into this larger moduli space applying its monodromies and moving back we provide an example of such series and discuss their implications for the string theory landscape | [['in', 'this', 'paper', 'we', 'investigate', 'the', 'properties', 'of', 'series', 'of', 'vacua', 'in', 'the', 'string', 'theory', 'landscape', 'in', 'particular', 'we', 'study', 'minima', 'to', 'the', 'flux', 'potential', 'in', 'type', 'iib', 'compactifications', 'on', 'the', 'mirror', 'quintic', 'using', 'geometric', 'transitions', 'we', 'embed', 'its', 'one', 'dimensional', 'complex', 'structure', 'moduli', 'space', 'in', 'that', 'of', 'another', 'calabiyau', 'with', 'h1186', 'and', 'h212', 'we', 'then', 'show', 'how', 'to', 'construct', 'infinite', 'series', 'of', 'continuously', 'connected', 'minima', 'to', 'the', 'mirror', 'quintic', 'potential', 'by', 'moving', 'into', 'this', 'larger', 'moduli', 'space', 'applying', 'its', 'monodromies', 'and', 'moving', 'back', 'we', 'provide', 'an', 'example', 'of', 'such', 'series', 'and', 'discuss', 'their', 'implications', 'for', 'the', 'string', 'theory', 'landscape']] | [-0.1279402437752911, 0.08850185596517748, -0.09809247001872531, 0.114852963915874, -0.07333664616750439, -0.09333457632408458, 0.05093494974782367, 0.3530205358389993, -0.2975371505266854, -0.2500667138956487, 0.11947523227926078, -0.24881943810389054, -0.23135462625674447, 0.1677960022257603, -0.11420988912542103, -0.027628087672661533, -0.018799352811231296, 0.014445869359294693, -0.09914781088342092, -0.31659506574719765, 0.394197367682901, -0.0279158217243242, 0.24685077329774444, 0.02372658059442872, 0.07929206297409777, 0.010719981617104185, 0.010410550002920993, 0.008872945345724382, -0.1617839198193646, 0.1849993347423151, 0.21413920447705503, 0.07668563755400175, 0.1679868765237114, -0.5026396719776854, -0.229161829982257, 0.1693778921831019, 0.16095910571059402, 0.1191807648865506, -0.03598530934196992, -0.263275245565693, 0.056282176607649545, -0.12632765714316724, -0.20210978806455981, -0.11387206506630292, 0.033654509021957615, 0.03386591743364246, -0.14675643798545934, -0.011089620028375363, -0.02021881829643128, 0.05265778300295375, -0.09885380946976437, -0.025773649147892257, -0.06472807470709085, 0.08402022544522675, 0.10472774356413557, 0.037679489799395054, 0.07249655116976676, -0.156268274859179, -0.10074676880708003, 0.3659486919784044, -0.08429302182998888, -0.17521861697338065, 0.13385071558877826, -0.1334229911706049, -0.1649394226545582, 0.09549816347639628, 0.1668029795875963, 0.14276515902495202, -0.045839956677067376, 0.17605552088519158, 0.01609343389163212, 0.10357205017602869, 0.08536683816025603, 0.022318995847575823, 0.226452162261216, 0.1649483641281686, 0.06956748959456323, 0.19345764258914455, -0.07027620619533545, -0.12559458332573425, -0.3915181022745614, -0.1711046888150883, -0.10312120425419843, 0.10253767548509095, -0.1037262709312704, -0.19761329656466842, 0.44142870052850675, 0.08502474675912466, 0.253873554970689, 0.02421208562053816, 0.1917947557735808, 0.07160949014241294, 0.021025126536224722, 0.019099758397455195, 0.18820692439164435, 0.12992294553111364, 0.0629704202173696, -0.1986115965968454, -0.1319053051375537, 0.1543120427997973] |
710.0621 | X-ray Fluorescent Fe Kalpha Lines from Stellar Photospheres | X-ray spectra from stellar coronae are reprocessed by the underlying
photosphere through scattering and photoionization events. While reprocessed
X-ray spectra reaching a distant observer are at a flux level of only a few
percent of that of the corona itself, characteristic lines formed by inner
shell photoionization of some abundant elements can be significantly stronger.
The emergent photospheric spectra are sensitive to the distance and location of
the fluorescing radiation and can provide diagnostics of coronal geometry and
abundance. Here we present Monte Carlo simulations of the photospheric Kalpha
doublet arising from quasi-neutral Fe irradiated by a coronal X-ray source.
Fluorescent line strengths have been computed as a function of the height of
the radiation source, the temperature of the ionising X-ray spectrum, and the
viewing angle. We also illustrate how the fluorescence efficiencies scale with
the photospheric metallicity and the Fe abundance. Based on the results we make
three comments: (1) fluorescent Fe lines seen from pre-main sequence stars
mostly suggest flared disk geometries and/or super-solar disk Fe abundances;
(2) the extreme ~1400 mA line observed from a flare on V1486 Ori can be
explained entirely by X-ray fluorescence if the flare itself were partially
eclipsed by the limb of the star; and (3) the fluorescent Fe line detected by
Swift during a large flare on II Peg is consistent with X-ray excitation and
does not require a collisional ionisation contribution. There is no convincing
evidence supporting the energetically challenging explanation of electron
impact excitation for observed stellar Fe Kalpha lines.
| astro-ph | xray spectra from stellar coronae are reprocessed by the underlying photosphere through scattering and photoionization events while reprocessed xray spectra reaching a distant observer are at a flux level of only a few percent of that of the corona itself characteristic lines formed by inner shell photoionization of some abundant elements can be significantly stronger the emergent photospheric spectra are sensitive to the distance and location of the fluorescing radiation and can provide diagnostics of coronal geometry and abundance here we present monte carlo simulations of the photospheric kalpha doublet arising from quasineutral fe irradiated by a coronal xray source fluorescent line strengths have been computed as a function of the height of the radiation source the temperature of the ionising xray spectrum and the viewing angle we also illustrate how the fluorescence efficiencies scale with the photospheric metallicity and the fe abundance based on the results we make three comments 1 fluorescent fe lines seen from premain sequence stars mostly suggest flared disk geometries andor supersolar disk fe abundances 2 the extreme 1400 ma line observed from a flare on v1486 ori can be explained entirely by xray fluorescence if the flare itself were partially eclipsed by the limb of the star and 3 the fluorescent fe line detected by swift during a large flare on ii peg is consistent with xray excitation and does not require a collisional ionisation contribution there is no convincing evidence supporting the energetically challenging explanation of electron impact excitation for observed stellar fe kalpha lines | [['xray', 'spectra', 'from', 'stellar', 'coronae', 'are', 'reprocessed', 'by', 'the', 'underlying', 'photosphere', 'through', 'scattering', 'and', 'photoionization', 'events', 'while', 'reprocessed', 'xray', 'spectra', 'reaching', 'a', 'distant', 'observer', 'are', 'at', 'a', 'flux', 'level', 'of', 'only', 'a', 'few', 'percent', 'of', 'that', 'of', 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710.0622 | Charge response function and a novel plasmon mode in graphene | Polarizability of non-interacting 2D Dirac electrons has a 1/\sqrt{qv-\omega}
singularity at the boundary of electron-hole excitations. The screening of this
singularity by long-range electron-electron interactions is usually treated
within the random phase approximation. The latter is exact only in the limit of
N -> infinity, where N is the ``color'' degeneracy. We find that the
ladder-type vertex corrections become crucial close to the threshold as the
ratio of the n-th order ladder term to the same order RPA contribution is
(\ln|qv-\omega|)^n/N^n$. We perform analytical summation of the infinite series
of ladder diagrams which describe excitonic effect. Beyond the threshold,
qv>\omega, the real part of the polarization operator is found to be positive
leading to the appearance of a strong and narrow plasmon resonance.
| cond-mat.mes-hall | polarizability of noninteracting 2d dirac electrons has a 1sqrtqvomega singularity at the boundary of electronhole excitations the screening of this singularity by longrange electronelectron interactions is usually treated within the random phase approximation the latter is exact only in the limit of n infinity where n is the color degeneracy we find that the laddertype vertex corrections become crucial close to the threshold as the ratio of the nth order ladder term to the same order rpa contribution is lnqvomegannn we perform analytical summation of the infinite series of ladder diagrams which describe excitonic effect beyond the threshold qvomega the real part of the polarization operator is found to be positive leading to the appearance of a strong and narrow plasmon resonance | [['polarizability', 'of', 'noninteracting', '2d', 'dirac', 'electrons', 'has', 'a', '1sqrtqvomega', 'singularity', 'at', 'the', 'boundary', 'of', 'electronhole', 'excitations', 'the', 'screening', 'of', 'this', 'singularity', 'by', 'longrange', 'electronelectron', 'interactions', 'is', 'usually', 'treated', 'within', 'the', 'random', 'phase', 'approximation', 'the', 'latter', 'is', 'exact', 'only', 'in', 'the', 'limit', 'of', 'n', 'infinity', 'where', 'n', 'is', 'the', 'color', 'degeneracy', 'we', 'find', 'that', 'the', 'laddertype', 'vertex', 'corrections', 'become', 'crucial', 'close', 'to', 'the', 'threshold', 'as', 'the', 'ratio', 'of', 'the', 'nth', 'order', 'ladder', 'term', 'to', 'the', 'same', 'order', 'rpa', 'contribution', 'is', 'lnqvomegannn', 'we', 'perform', 'analytical', 'summation', 'of', 'the', 'infinite', 'series', 'of', 'ladder', 'diagrams', 'which', 'describe', 'excitonic', 'effect', 'beyond', 'the', 'threshold', 'qvomega', 'the', 'real', 'part', 'of', 'the', 'polarization', 'operator', 'is', 'found', 'to', 'be', 'positive', 'leading', 'to', 'the', 'appearance', 'of', 'a', 'strong', 'and', 'narrow', 'plasmon', 'resonance']] | [-0.1646169531746071, 0.1518680217887173, -0.06717297588864908, 0.10274920700618825, -0.041346144099414596, -0.11459442793916003, 0.03730529318211459, 0.31304974049454976, -0.2361980599249486, -0.24233316914608874, -0.0007268099570177307, -0.35019628421849563, -0.1221667650476599, 0.06414342046316181, 0.07712270109131619, 0.025798791178165616, 0.0037818202981725335, 0.07024052786100812, -0.057024294015474056, -0.22030458686787227, 0.32679501286230417, 0.037705006398761474, 0.2432361568105133, 0.12867144000630418, 0.04511755903128206, 0.02916068197893245, 0.06261637806892395, -0.0026241482133750153, -0.09196458015613651, 0.03310321511293785, 0.24123107698284277, -0.06343376375194307, 0.24862391127570838, -0.3962332920147842, -0.15956474544026522, 0.0774850599553843, 0.21707075808447698, 0.15380059747209288, 0.015684415112805217, -0.27360638213038696, 0.04381106919882929, -0.17797061074681642, -0.17094700273220279, -0.04497703513083588, 0.02509024806571107, -0.010492953816193994, -0.28902501627429145, 0.09568572314377843, 0.08219428020020743, 0.009730278882158905, -0.013825189541367924, -0.10804299460019634, -0.028068625211653087, 0.13387592363820858, 0.045325275621584324, 0.0414583644538163, 0.10264304794073731, -0.13759605070631284, -0.07237131759023466, 0.4024880978850131, -0.08550274114030562, -0.15752613219675146, 0.119845045221766, -0.21404960376265295, -0.05613609130236031, 0.1984276783734779, 0.09624932725383595, 0.10859158392477107, -0.1188080379262003, 0.14254907888757504, 0.002559528947306969, 0.13681859818889813, 0.06522866998194568, 0.06431605113951974, 0.19240610474454506, 0.1256632254920712, 0.06384403421739195, 0.17174778141359165, -0.09396090573240404, -0.10526401480119832, -0.3334137685205631, -0.11586181914429924, -0.22452448364523309, 0.05757038959912455, -0.09877767488191652, -0.24858712046524556, 0.40090410783495595, 0.13745301109621255, 0.20855453574101582, -0.0007806252208812272, 0.28726804138654294, 0.21426274201552922, 0.0961033204969551, -0.002825225284714408, 0.26966443437957716, 0.1520462791775862, 0.041442019954918564, -0.29617944647784994, 0.022609288019652504, 0.116157872355817] |
710.0623 | Electroweak Symmetry Breaking from a Holographic Fourth Generation | We consider a model with four generations of standard model fermions
propagating in an extra dimension with an AdS background metric. We show that
if the zero modes of the fourth generation are highly localized towards the
infrared brane, it is possible to break the electroweak symmetry via their
condensation, partly driven by their interactions with the Kaluza-Klein
excitations of the gauge bosons, as well as by the presence of bulk
higher-dimensional operators. This dynamical mechanism results in a composite
Higgs, which is highly localized and generally heavy. The localization of
fermions in the five-dimensional bulk naturally leads to the standard model
Yukawa couplings via the action of the bulk higher-dimensional operators, which
are suppressed by the Planck scale. We obtain the spectrum of the model and
explore some of its phenomenological consequences, both for electroweak
precision constraints as well as at the Large Hadron Collider.
| hep-ph hep-ex hep-th | we consider a model with four generations of standard model fermions propagating in an extra dimension with an ads background metric we show that if the zero modes of the fourth generation are highly localized towards the infrared brane it is possible to break the electroweak symmetry via their condensation partly driven by their interactions with the kaluzaklein excitations of the gauge bosons as well as by the presence of bulk higherdimensional operators this dynamical mechanism results in a composite higgs which is highly localized and generally heavy the localization of fermions in the fivedimensional bulk naturally leads to the standard model yukawa couplings via the action of the bulk higherdimensional operators which are suppressed by the planck scale we obtain the spectrum of the model and explore some of its phenomenological consequences both for electroweak precision constraints as well as at the large hadron collider | [['we', 'consider', 'a', 'model', 'with', 'four', 'generations', 'of', 'standard', 'model', 'fermions', 'propagating', 'in', 'an', 'extra', 'dimension', 'with', 'an', 'ads', 'background', 'metric', 'we', 'show', 'that', 'if', 'the', 'zero', 'modes', 'of', 'the', 'fourth', 'generation', 'are', 'highly', 'localized', 'towards', 'the', 'infrared', 'brane', 'it', 'is', 'possible', 'to', 'break', 'the', 'electroweak', 'symmetry', 'via', 'their', 'condensation', 'partly', 'driven', 'by', 'their', 'interactions', 'with', 'the', 'kaluzaklein', 'excitations', 'of', 'the', 'gauge', 'bosons', 'as', 'well', 'as', 'by', 'the', 'presence', 'of', 'bulk', 'higherdimensional', 'operators', 'this', 'dynamical', 'mechanism', 'results', 'in', 'a', 'composite', 'higgs', 'which', 'is', 'highly', 'localized', 'and', 'generally', 'heavy', 'the', 'localization', 'of', 'fermions', 'in', 'the', 'fivedimensional', 'bulk', 'naturally', 'leads', 'to', 'the', 'standard', 'model', 'yukawa', 'couplings', 'via', 'the', 'action', 'of', 'the', 'bulk', 'higherdimensional', 'operators', 'which', 'are', 'suppressed', 'by', 'the', 'planck', 'scale', 'we', 'obtain', 'the', 'spectrum', 'of', 'the', 'model', 'and', 'explore', 'some', 'of', 'its', 'phenomenological', 'consequences', 'both', 'for', 'electroweak', 'precision', 'constraints', 'as', 'well', 'as', 'at', 'the', 'large', 'hadron', 'collider']] | [-0.11115503682410471, 0.26493883585539, -0.03087689062741534, 0.09912974854105165, -0.05401281167893377, -0.13969908743277065, -0.0010622002412437473, 0.2921664833732281, -0.24617905502386186, -0.28915240775717244, 0.09310468805679567, -0.28899885833977834, -0.10569316276495842, 0.11317925253876625, 0.036382997925637976, 0.04456762280769659, -0.007192443769221029, 0.03277094294763591, -0.052469072632622356, -0.24278496704797886, 0.3642909295907984, 0.07961623751115228, 0.2526153664037662, 0.07855165496226145, 0.055589214047059826, -0.010712099092540471, 0.0037570291530494002, -0.028443660223473832, -0.05661577346906335, 0.12168597172601275, 0.15716198635006912, 0.023375453154735062, 0.16198409784326892, -0.4055357640433725, -0.21778847656391356, 0.09653198210624596, 0.161070988414656, 0.15751942722860418, -0.06701329536736012, -0.3288186211840645, 0.06129974461549714, -0.20036599145283643, -0.1689531000319881, -0.09232866305105183, -0.066308355070523, -0.08797683791346746, -0.27902840805712015, 0.09293471841613622, 0.03217477886997361, 0.021250759410888772, -0.05093744068409712, -0.06804456051809024, -0.11201778537759634, 0.05201487954345545, 0.15718576010581337, 0.0023393905801341345, 0.11646332981883012, -0.20347439686365884, -0.1613093168468355, 0.4434981300106451, -0.12342974025842236, -0.20900337906930697, 0.21830998503998533, -0.1555643844552185, -0.09960513530707318, 0.091188516359368, 0.16361935265929986, 0.12014085934688784, -0.1484254664471947, 0.17829107908988118, -0.032772325732018034, 0.13393035342706341, 0.021486403280231235, 0.11295318667703524, 0.2857747435671826, 0.1682004540431479, 0.04762626915359997, 0.12290678383648548, -0.045603480048905035, -0.08289464201805284, -0.38256700005229205, -0.1204777371205313, -0.11985048552184072, 0.03335453269521591, -0.1086073331947499, -0.18149677264083125, 0.3955690093045059, 0.12487532015035108, 0.2530165310241027, 0.025225015715951076, 0.2636063657477753, 0.11504855035957307, 0.118408419825942, 0.01619301388574021, 0.3082070925812419, 0.10131775822382012, 0.09017750357392512, -0.23658614083231516, -0.06753823086332325, 0.11264649463485774] |
710.0624 | Reflexive Ideals in Iwasawa Algebras | Let $G$ be a torsionfree compact $p$-adic analytic group. We give sufficient
conditions on $p$ and $G$ which ensure that the Iwasawa algebra $\Omega_G$ of
$G$ has no non-trivial two-sided reflexive ideals. Consequently, these
conditions imply that every nonzero normal element in $\Omega_G$ is a unit. We
show that these conditions hold in the case when $G$ is an open subgroup of
$\SL_2(\Zp)$ and $p$ is arbitrary. Using a previous result of the first author,
we show that there are only two prime ideals in $\Omega_G$ when $G$ is a
congruence subgroup of $\SL_2(\Zp)$: the zero ideal and the unique maximal
ideal. These statements partially answer some questions asked by the first
author and Brown.
| math.RA math.NT | let g be a torsionfree compact padic analytic group we give sufficient conditions on p and g which ensure that the iwasawa algebra omega_g of g has no nontrivial twosided reflexive ideals consequently these conditions imply that every nonzero normal element in omega_g is a unit we show that these conditions hold in the case when g is an open subgroup of sl_2zp and p is arbitrary using a previous result of the first author we show that there are only two prime ideals in omega_g when g is a congruence subgroup of sl_2zp the zero ideal and the unique maximal ideal these statements partially answer some questions asked by the first author and brown | [['let', 'g', 'be', 'a', 'torsionfree', 'compact', 'padic', 'analytic', 'group', 'we', 'give', 'sufficient', 'conditions', 'on', 'p', 'and', 'g', 'which', 'ensure', 'that', 'the', 'iwasawa', 'algebra', 'omega_g', 'of', 'g', 'has', 'no', 'nontrivial', 'twosided', 'reflexive', 'ideals', 'consequently', 'these', 'conditions', 'imply', 'that', 'every', 'nonzero', 'normal', 'element', 'in', 'omega_g', 'is', 'a', 'unit', 'we', 'show', 'that', 'these', 'conditions', 'hold', 'in', 'the', 'case', 'when', 'g', 'is', 'an', 'open', 'subgroup', 'of', 'sl_2zp', 'and', 'p', 'is', 'arbitrary', 'using', 'a', 'previous', 'result', 'of', 'the', 'first', 'author', 'we', 'show', 'that', 'there', 'are', 'only', 'two', 'prime', 'ideals', 'in', 'omega_g', 'when', 'g', 'is', 'a', 'congruence', 'subgroup', 'of', 'sl_2zp', 'the', 'zero', 'ideal', 'and', 'the', 'unique', 'maximal', 'ideal', 'these', 'statements', 'partially', 'answer', 'some', 'questions', 'asked', 'by', 'the', 'first', 'author', 'and', 'brown']] | [-0.20583903517129015, 0.11001820430951297, -0.11551203128708674, 0.04153026576541298, -0.13094200108373388, -0.1618720701425872, -0.0038701482570474652, 0.3692470461097175, -0.2914253549765697, -0.2193454655909301, 0.1307923059989863, -0.24306773173054103, -0.10800581456335114, 0.21195561721492395, -0.13155869895641784, -0.030791594757105068, 0.0816743368843356, 0.1424051305625291, -0.02809619059604881, -0.32181041008603256, 0.3962655401937004, -0.06400519899356352, 0.1892784114069907, 0.06930354061182094, 0.07828523225521368, -0.04959417059523078, 0.0010269888825055245, 0.013630484801560509, -0.1940016968608978, 0.05474073161882043, 0.3162536830929792, 0.06630190510912674, 0.2890706465587811, -0.368411354031115, -0.11310791537841469, 0.2309370483766285, 0.06516206892520453, -0.035226429496331355, -0.05065126611286593, -0.21682951792835595, 0.20343501227949046, -0.1543644877661646, -0.15617838029263426, -0.06212760643225856, 0.13316529659570847, -0.03573202698870636, -0.30059520110067606, 0.007562219997686623, 0.16447766116136206, 0.1362313668251829, -0.06220128619219217, -0.12175311612591674, -0.04452796279971974, 0.10105623093287386, -0.0261241192081524, 0.061206508456704625, 0.02993742688955632, -0.06785153881935156, -0.10799624060437216, 0.3761814853703949, -0.0671634463700507, -0.19380401544668505, 0.13731402695123354, -0.24812245000549385, -0.18180376648556737, 0.08508610397791572, 0.022064309361168242, 0.14316474718033476, -0.033743201156942154, 0.2008840298111163, -0.21725640478090638, 0.08588597858716132, 0.09698889793135819, -0.03259233902806037, 0.1535166514856098, 0.041387534810825605, 0.11626288907157373, 0.10745480790449949, 0.07484757174342145, 0.12157356274207082, -0.39269652583562165, -0.1887381987778091, -0.15471420365393954, 0.14605779449694453, -0.08119805612492136, -0.1369712547423829, 0.35737230338617765, 0.10381809238599926, 0.14768466088854898, 0.0667659028781479, 0.20592457477819273, 0.09337622551937727, 0.02390930500804587, 0.14545442402956232, 0.106221016485345, 0.2248908007430918, -0.09691668315934825, -0.15301825244193978, 0.009643919543420847, 0.1519080934164205] |
710.0625 | Oscillating Starless Cores: The Nonlinear Regime | In a previous paper, we modeled the oscillations of a thermally-supported
(Bonnor-Ebert) sphere as non-radial, linear perturbations following a standard
analysis developed for stellar pulsations. The predicted column density
variations and molecular spectral line profiles are similar to those observed
in the Bok globule B68 suggesting that the motions in some starless cores may
be oscillating perturbations on a thermally supported equilibrium structure.
However, the linear analysis is unable to address several questions, among them
the stability, and lifetime of the perturbations. In this paper we simulate the
oscillations using a three-dimensional numerical hydrodynamic code. We find
that the oscillations are damped predominantly by non-linear mode-coupling, and
the damping time scale is typically many oscillation periods, corresponding to
a few million years, and persisting over the inferred lifetime of gobules.
| astro-ph | in a previous paper we modeled the oscillations of a thermallysupported bonnorebert sphere as nonradial linear perturbations following a standard analysis developed for stellar pulsations the predicted column density variations and molecular spectral line profiles are similar to those observed in the bok globule b68 suggesting that the motions in some starless cores may be oscillating perturbations on a thermally supported equilibrium structure however the linear analysis is unable to address several questions among them the stability and lifetime of the perturbations in this paper we simulate the oscillations using a threedimensional numerical hydrodynamic code we find that the oscillations are damped predominantly by nonlinear modecoupling and the damping time scale is typically many oscillation periods corresponding to a few million years and persisting over the inferred lifetime of gobules | [['in', 'a', 'previous', 'paper', 'we', 'modeled', 'the', 'oscillations', 'of', 'a', 'thermallysupported', 'bonnorebert', 'sphere', 'as', 'nonradial', 'linear', 'perturbations', 'following', 'a', 'standard', 'analysis', 'developed', 'for', 'stellar', 'pulsations', 'the', 'predicted', 'column', 'density', 'variations', 'and', 'molecular', 'spectral', 'line', 'profiles', 'are', 'similar', 'to', 'those', 'observed', 'in', 'the', 'bok', 'globule', 'b68', 'suggesting', 'that', 'the', 'motions', 'in', 'some', 'starless', 'cores', 'may', 'be', 'oscillating', 'perturbations', 'on', 'a', 'thermally', 'supported', 'equilibrium', 'structure', 'however', 'the', 'linear', 'analysis', 'is', 'unable', 'to', 'address', 'several', 'questions', 'among', 'them', 'the', 'stability', 'and', 'lifetime', 'of', 'the', 'perturbations', 'in', 'this', 'paper', 'we', 'simulate', 'the', 'oscillations', 'using', 'a', 'threedimensional', 'numerical', 'hydrodynamic', 'code', 'we', 'find', 'that', 'the', 'oscillations', 'are', 'damped', 'predominantly', 'by', 'nonlinear', 'modecoupling', 'and', 'the', 'damping', 'time', 'scale', 'is', 'typically', 'many', 'oscillation', 'periods', 'corresponding', 'to', 'a', 'few', 'million', 'years', 'and', 'persisting', 'over', 'the', 'inferred', 'lifetime', 'of', 'gobules']] | [-0.14647035387366317, 0.14792303549930771, -0.07079904912718275, 0.09406508968749568, -0.04734991970219354, -0.06294564088597143, 0.01762808662073961, 0.3582537285333803, -0.2477519509090154, -0.29744102592154065, 0.1337555860762138, -0.26603662434991543, -0.11067686593629304, 0.1882406461175329, 0.002887659401149135, 0.0638550698410633, 0.07902431263147976, -0.029019509243612834, -0.03841046228744956, -0.1866347593807637, 0.29133585396461015, 0.05853356389949719, 0.18938009913057782, -0.04058582343652036, 0.010645392246168945, -0.13291007914046157, -0.046626448831629266, 0.0569681526782612, -0.15749890368265757, 0.06128150186061051, 0.21892951049423656, 0.05939910553085307, 0.2641222088384738, -0.447861440162095, -0.2765904139987258, 0.08128601457671418, 0.1856319462996005, 0.1202210057490729, -0.01656983904910541, -0.26542765364166376, 0.07716491544445933, -0.15264866318077194, -0.1455762881980559, -0.04029362567505518, 0.06927658929561749, 0.04687045259282079, -0.21370687536297858, 0.14295632153922735, 0.03322962570625047, 0.0642318598494699, -0.12168758524971646, -0.07324852023360341, -0.04051402989457282, 0.06406555442922827, 0.05504076563132306, 0.0021696299054594927, 0.18189752267226, -0.08518444259232272, -0.061579083641196866, 0.37317157736004786, -0.12819101792659118, -0.10487736718613626, 0.226171295613397, -0.16911884469283356, -0.1440539247313038, 0.15830420868023654, 0.16196506533793412, 0.1105134185469464, -0.13008756159539442, 0.00274997033799688, -0.0493677664022936, 0.22343590911910977, 0.09816991024499022, -0.022165675540165904, 0.26574316048677, 0.14360285972699868, 0.0019355288507279672, 0.08702620003659409, -0.15646398126065564, -0.10998677867717406, -0.23850584927903012, -0.0674173004957739, -0.11693973327416551, 0.05601897567344555, -0.03775039073142995, -0.17836517645695874, 0.41573311630082577, 0.12634960943634455, 0.2286424850774279, 0.058628723240103715, 0.28997271807228986, 0.10450072513528659, 0.05857391638118167, 0.12976593499671119, 0.2761360388621417, 0.18609130228580834, 0.11686450925875859, -0.2532145733829559, 0.02965583458051894, -0.016466286450321246] |
710.0626 | Valence bond solid order near impurities in two-dimensional quantum
antiferromagnets | Recent scanning tunnelling microscopy (STM) experiments on underdoped
cuprates have displayed modulations in the local electronic density of states
which are centered on a Cu-O-Cu bond (Kohsaka et. al., cond-mat/0703309). As a
paradigm of the pinning of such bond-centered ordering in strongly correlated
systems, we present the theory of valence bond solid (VBS) correlations near a
single impurity in a square lattice antiferromagnet. The antiferromagnet is
assumed to be in the vicinity of a quantum transition from a magnetically
ordered Neel state to a spin-gap state with long-range VBS order. We identify
two distinct classes of impurities: i) local modulation in the exchange
constants, and ii) a missing or additional spin, for which the impurity
perturbation is represented by an uncompensated Berry phase. The `boundary'
critical theory for these classes is developed: in the second class we find a
`VBS pinwheel' around the impurity, accompanied by a suppression in the VBS
susceptibility. Implications for numerical studies of quantum antiferromagnets
and for STM experiments on the cuprates are noted.
| cond-mat.str-el cond-mat.supr-con | recent scanning tunnelling microscopy stm experiments on underdoped cuprates have displayed modulations in the local electronic density of states which are centered on a cuocu bond kohsaka et al condmat0703309 as a paradigm of the pinning of such bondcentered ordering in strongly correlated systems we present the theory of valence bond solid vbs correlations near a single impurity in a square lattice antiferromagnet the antiferromagnet is assumed to be in the vicinity of a quantum transition from a magnetically ordered neel state to a spingap state with longrange vbs order we identify two distinct classes of impurities i local modulation in the exchange constants and ii a missing or additional spin for which the impurity perturbation is represented by an uncompensated berry phase the boundary critical theory for these classes is developed in the second class we find a vbs pinwheel around the impurity accompanied by a suppression in the vbs susceptibility implications for numerical studies of quantum antiferromagnets and for stm experiments on the cuprates are noted | [['recent', 'scanning', 'tunnelling', 'microscopy', 'stm', 'experiments', 'on', 'underdoped', 'cuprates', 'have', 'displayed', 'modulations', 'in', 'the', 'local', 'electronic', 'density', 'of', 'states', 'which', 'are', 'centered', 'on', 'a', 'cuocu', 'bond', 'kohsaka', 'et', 'al', 'condmat0703309', 'as', 'a', 'paradigm', 'of', 'the', 'pinning', 'of', 'such', 'bondcentered', 'ordering', 'in', 'strongly', 'correlated', 'systems', 'we', 'present', 'the', 'theory', 'of', 'valence', 'bond', 'solid', 'vbs', 'correlations', 'near', 'a', 'single', 'impurity', 'in', 'a', 'square', 'lattice', 'antiferromagnet', 'the', 'antiferromagnet', 'is', 'assumed', 'to', 'be', 'in', 'the', 'vicinity', 'of', 'a', 'quantum', 'transition', 'from', 'a', 'magnetically', 'ordered', 'neel', 'state', 'to', 'a', 'spingap', 'state', 'with', 'longrange', 'vbs', 'order', 'we', 'identify', 'two', 'distinct', 'classes', 'of', 'impurities', 'i', 'local', 'modulation', 'in', 'the', 'exchange', 'constants', 'and', 'ii', 'a', 'missing', 'or', 'additional', 'spin', 'for', 'which', 'the', 'impurity', 'perturbation', 'is', 'represented', 'by', 'an', 'uncompensated', 'berry', 'phase', 'the', 'boundary', 'critical', 'theory', 'for', 'these', 'classes', 'is', 'developed', 'in', 'the', 'second', 'class', 'we', 'find', 'a', 'vbs', 'pinwheel', 'around', 'the', 'impurity', 'accompanied', 'by', 'a', 'suppression', 'in', 'the', 'vbs', 'susceptibility', 'implications', 'for', 'numerical', 'studies', 'of', 'quantum', 'antiferromagnets', 'and', 'for', 'stm', 'experiments', 'on', 'the', 'cuprates', 'are', 'noted']] | [-0.1882921347483814, 0.23755267170241484, -0.03832320739727044, 0.05000339851025938, -0.009355097378933145, -0.1411187842175989, 0.10928852630682948, 0.3725964520126581, -0.2614870309316648, -0.24107449109147408, 0.039045384794356534, -0.38422264970705183, -0.14605048206958274, 0.10659120948901567, 0.06068330086923823, 0.023145721009569967, -0.05971895786933601, 0.0032296740522463163, -0.12614685249609683, -0.22919092098429442, 0.28584898414904486, -0.0046998683996163975, 0.290197764021417, 0.08329072829843415, 0.01478907361091254, 0.04601974633500024, 0.11669560880985802, 0.05332699878988955, -0.15766614729895473, 0.07423724949709837, 0.269742835485962, -0.09023094477050403, 0.17197383500769467, -0.4450251270130187, -0.2358069007597239, 0.0035969516008668495, 0.12211316494371541, 0.17213470815725535, -0.06849628499455326, -0.32818322071337147, 0.009659462758970118, -0.16984007714461244, -0.10863570551650074, -0.1231372091629191, -0.012029332794739814, -0.009747092395377467, -0.26907537325737096, 0.13075052494250103, 0.06284220099398967, 0.11726829501616205, -0.09804014486963386, -0.1064197577000735, -0.06746534257708954, 0.022276168484185004, 0.016984803425036592, 0.08643423211007953, 0.10486297655437966, -0.12529114653317336, -0.20112600195093336, 0.3445141143751091, -0.02085954351364607, -0.10315867295522874, 0.15111172751629512, -0.17790424211151495, -0.11987379160019553, 0.14141519595785235, 0.09637764636929075, 0.09431803297679481, -0.0943152081042885, 0.07357918915637172, -0.04516420926491613, 0.19360516305655956, 0.020978070092861525, 0.06621031190162736, 0.28718806207626163, 0.18821075277174348, 0.06725409209817469, 0.1480875167665267, -0.16149011074677236, -0.14451719257836984, -0.24631816511806434, -0.1488462954795847, -0.2704994980368518, 0.029493896425896865, -0.0567366479208322, -0.2148264482266041, 0.35921541032308857, 0.1260142239329299, 0.20094552516803413, -0.11695262252124483, 0.17255852966775706, 0.07754459621281569, 0.02277426982666561, 0.03292273004221434, 0.22265554455382203, 0.16223198038520303, 0.10349759772910687, -0.27752342236574745, 0.08337832868592758, 0.0661943302403377] |
710.0627 | Kinetic theory of non-Abelian plasma: a non-minimal model | The self-consistent system of master equations describing the kinetics of a
relativistic non-Abelian plasma, influenced by curvature interactions, is
formulated. Non-minimal (curvature induced) coupling is shown to modify all the
subsystems of the model: the gauge field equations, the gravity field equations
and the kinetic equation for colored particles.
| gr-qc astro-ph hep-ph hep-th | the selfconsistent system of master equations describing the kinetics of a relativistic nonabelian plasma influenced by curvature interactions is formulated nonminimal curvature induced coupling is shown to modify all the subsystems of the model the gauge field equations the gravity field equations and the kinetic equation for colored particles | [['the', 'selfconsistent', 'system', 'of', 'master', 'equations', 'describing', 'the', 'kinetics', 'of', 'a', 'relativistic', 'nonabelian', 'plasma', 'influenced', 'by', 'curvature', 'interactions', 'is', 'formulated', 'nonminimal', 'curvature', 'induced', 'coupling', 'is', 'shown', 'to', 'modify', 'all', 'the', 'subsystems', 'of', 'the', 'model', 'the', 'gauge', 'field', 'equations', 'the', 'gravity', 'field', 'equations', 'and', 'the', 'kinetic', 'equation', 'for', 'colored', 'particles']] | [-0.24097767411683668, 0.24184641880648478, -0.07581911432409506, 0.09695985665715927, -0.08194250148740045, -0.16550447285289363, -0.12284943981248202, 0.2103643799200654, -0.24755286545093572, -0.30343539742942977, -0.05603279169572859, -0.24952393344470433, -0.12379202330294921, 0.08848725912655342, 0.03927891662496389, 0.021540245649461845, 0.02386508395477217, 0.04010865746579152, -0.0016926504595547306, -0.22365210809725888, 0.34434005132477197, 0.03879188198824318, 0.20165990042139073, 0.06331835540809802, 0.21872688512488894, -0.01858485955269817, -0.0019054327692304338, 0.07910880454036655, -0.15206132869667383, 0.006339924828130372, 0.11788045159750143, -0.008870787182062561, 0.1886223547863869, -0.47554066374289744, -0.30373282192693074, 0.03928772178573572, 0.1255881608444817, 0.16300011369190653, -0.017794276910776993, -0.33163368489061085, -0.0440743564609058, -0.15135750003463153, -0.18676135681655107, -0.051166963972607435, -0.0013580234217628532, 0.006184417716398531, -0.2822005511641654, 0.10090104406889604, 0.04744813475301679, -0.014477286490787543, -0.12246549760504645, -0.05779208401360606, -0.10748111573998265, 0.03638803122603163, 0.08539306096095896, 0.02212260477244854, 0.16999389235243886, -0.24173233798724048, -0.0545616819789367, 0.4345339658309002, -0.1523671854163843, -0.28714595286517725, 0.11634426928904591, -0.11661668776591518, -0.0838463869401995, 0.17586727657032256, 0.14365347957580674, 0.15738058268871843, -0.2517071580514312, 0.20464290769613938, 0.033222894564423025, 0.09686731218303345, 0.04302412554697723, -0.02734061605201996, 0.2188635192412351, 0.1017655684631698, -0.027916515151000753, 0.0838227607084115, 0.06444224392120936, -0.19280027333000788, -0.36373972200921606, -0.1605068952491393, -0.16617436626954574, 0.07372969765292138, -0.12615901318691167, -0.16959959225032992, 0.4207364650709288, 0.16226320151163606, 0.030123487152919477, 0.010578548953849442, 0.23475000695610532, 0.19884148566052318, 0.048757048000638584, 0.061374043057463606, 0.3069051549180734, 0.3163896784309906, 0.09480983168551964, -0.33650343726408116, -0.053116627978351046, 0.17029130547212398] |
710.0628 | New explicit spike solution -- non-local component of the generalized
Mixmaster attractor | By applying a standard solution-generating transformation to an arbitrary
vacuum Bianchi type II solution, one generates a new solution with spikes
commonly observed in numerical simulations. It is conjectured that the spike
solution is part of the generalized Mixmaster attractor.
| gr-qc | by applying a standard solutiongenerating transformation to an arbitrary vacuum bianchi type ii solution one generates a new solution with spikes commonly observed in numerical simulations it is conjectured that the spike solution is part of the generalized mixmaster attractor | [['by', 'applying', 'a', 'standard', 'solutiongenerating', 'transformation', 'to', 'an', 'arbitrary', 'vacuum', 'bianchi', 'type', 'ii', 'solution', 'one', 'generates', 'a', 'new', 'solution', 'with', 'spikes', 'commonly', 'observed', 'in', 'numerical', 'simulations', 'it', 'is', 'conjectured', 'that', 'the', 'spike', 'solution', 'is', 'part', 'of', 'the', 'generalized', 'mixmaster', 'attractor']] | [-0.10610316530801356, 0.03913826184907521, -0.10003128123935312, 0.0852746416174341, -0.1178336882032454, -0.19509410883765668, -0.045054493565112354, 0.2567437572404742, -0.26293746517039834, -0.2300828795414418, 0.14189333395042922, -0.2827975083841011, -0.20693330437643453, 0.14003960588015615, -0.045350793789839375, 0.01211819048039615, 0.05479248199844733, 0.02450490863993764, -0.043508502742042765, -0.2247051384532824, 0.32252661045640707, 0.03566043887694832, 0.3283401254215278, -0.08481541065266356, 0.1508118055993691, -0.09606219785055145, -0.015777872619219126, 0.037760844209697095, -0.10746665921269596, 0.030900982330786066, 0.19311289376055357, 0.15599081764230505, 0.22786886543035506, -0.432702155970037, -0.2332911852747202, 0.11984028816223144, 0.14852143600583076, 0.17242854598443955, -0.12471982971765101, -0.2940473895054311, 0.0981155239394866, -0.14893344075826462, -0.2435940052731894, -0.0841189148137346, 0.06162749482318759, -0.011753454187419266, -0.32230347534641623, 0.07983771686585897, 0.04808208616450429, -0.03973564463667571, -0.09547542674699798, 0.034019997459836304, 0.03175999172963202, 0.010487760629621335, 0.06814182630041614, 0.048881976515986025, 0.06930762538686394, -0.10698759488295764, -0.10868820557370781, 0.3412095597945154, -0.11348120998591185, -0.22369897114112974, 0.11615165591938421, -0.06083728338126093, -0.10789271111789275, 0.14470302523695863, 0.0009909986983984709, 0.11277596397558227, -0.168877854780294, 0.12298448574729264, -0.03687580928672105, 0.18520068782381713, 0.10161921030376106, -0.09497300976654514, 0.18798110969364643, 0.12710668090730906, 0.027203232841566206, 0.1530197207815945, -0.029648640751838685, -0.1620636261999607, -0.3758311498677358, -0.1354988093720749, -0.1898379113525152, 0.11787414569407702, -0.16286255782470108, -0.21801250670105218, 0.41544555202126504, 0.06769479422364384, 0.12881528644356877, 0.019872650475008413, 0.21566669843159617, 0.1521483397576958, 0.04653995670378208, 0.07644174219458363, 0.24393776622600855, 0.11366434836527332, 0.12970362801570445, -0.2035227852407843, 0.007802665664348752, 0.17973728188080712] |
710.0629 | Three Disk Oscillation Modes of Rotating Magnetized Neutron Stars | We discuss three specific modes of accretion disks around rotating magnetized
neutron stars which may explain the separations of the kilo Hertz quasi
periodic oscillations (QPO) seen in low mass X-ray binaries. The existence of
these modes requires that there be a maximum in the angular velocity of the
accreting material, and that the fluid is in stable, nearly circular motion
near this maximum rather than moving rapidly towards the star or out of the
disk plane into funnel flows. It is presently not known if these conditions
occur, but we are exploring this with 3D magnetohydrodynamic simulations and
will report the results elsewhere. The first mode is a corotation mode which is
radially trapped in the vicinity of the maximum of the disk rotation rate and
is unstable. The second mode, relevant to relatively slowly rotating stars, is
a magnetically driven eccentric ($m=1$) oscillation of the disk excited at a
Lindblad radius in the vicinity of the maximum of the disk rotation. The third
mode, relevant to rapidly rotating stars, is a magnetically coupled eccentric
($m=1$) and an axisymmetric ($m=0$) radial disk perturbation which has an inner
Lindblad radius also in the vicinity of the maximum of the disk rotation. We
suggest that the first mode is associated with the upper QPO frequency,
$\nu_u$, the second with the lower QPO frequency, $\nu_\ell =\nu_u-\nu_*$, and
the third with the lower QPO frequency, $\nu_\ell=\nu_u-\nu_*/2$, where $\nu_*$
is the star's rotation rate.
| astro-ph | we discuss three specific modes of accretion disks around rotating magnetized neutron stars which may explain the separations of the kilo hertz quasi periodic oscillations qpo seen in low mass xray binaries the existence of these modes requires that there be a maximum in the angular velocity of the accreting material and that the fluid is in stable nearly circular motion near this maximum rather than moving rapidly towards the star or out of the disk plane into funnel flows it is presently not known if these conditions occur but we are exploring this with 3d magnetohydrodynamic simulations and will report the results elsewhere the first mode is a corotation mode which is radially trapped in the vicinity of the maximum of the disk rotation rate and is unstable the second mode relevant to relatively slowly rotating stars is a magnetically driven eccentric m1 oscillation of the disk excited at a lindblad radius in the vicinity of the maximum of the disk rotation the third mode relevant to rapidly rotating stars is a magnetically coupled eccentric m1 and an axisymmetric m0 radial disk perturbation which has an inner lindblad radius also in the vicinity of the maximum of the disk rotation we suggest that the first mode is associated with the upper qpo frequency nu_u the second with the lower qpo frequency nu_ell nu_unu_ and the third with the lower qpo frequency nu_ellnu_unu_2 where nu_ is the stars rotation rate | [['we', 'discuss', 'three', 'specific', 'modes', 'of', 'accretion', 'disks', 'around', 'rotating', 'magnetized', 'neutron', 'stars', 'which', 'may', 'explain', 'the', 'separations', 'of', 'the', 'kilo', 'hertz', 'quasi', 'periodic', 'oscillations', 'qpo', 'seen', 'in', 'low', 'mass', 'xray', 'binaries', 'the', 'existence', 'of', 'these', 'modes', 'requires', 'that', 'there', 'be', 'a', 'maximum', 'in', 'the', 'angular', 'velocity', 'of', 'the', 'accreting', 'material', 'and', 'that', 'the', 'fluid', 'is', 'in', 'stable', 'nearly', 'circular', 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710.063 | Disk-Halo Interplay in Galaxy Evolution | Some aspects of disk-halo interactions for models of in and out of
equilibrium disk galaxies are reviewed. Specifically, we focus on disk-halo
resonant interaction without and in the presence of a gas component. Another
issue is the disk growth within an assembling triaxial dark matter halo. We
argue that while the triaxiality is the result of the merger process and the
radial orbit instability, it is the developing chaos that damps the first
generation of bars and washes out the halo prolateness. This chaos is triggered
by the gravitational quadrupole interaction(s) in the system and supported by a
number of other processes which are characteristic of baryons.
| astro-ph | some aspects of diskhalo interactions for models of in and out of equilibrium disk galaxies are reviewed specifically we focus on diskhalo resonant interaction without and in the presence of a gas component another issue is the disk growth within an assembling triaxial dark matter halo we argue that while the triaxiality is the result of the merger process and the radial orbit instability it is the developing chaos that damps the first generation of bars and washes out the halo prolateness this chaos is triggered by the gravitational quadrupole interactions in the system and supported by a number of other processes which are characteristic of baryons | [['some', 'aspects', 'of', 'diskhalo', 'interactions', 'for', 'models', 'of', 'in', 'and', 'out', 'of', 'equilibrium', 'disk', 'galaxies', 'are', 'reviewed', 'specifically', 'we', 'focus', 'on', 'diskhalo', 'resonant', 'interaction', 'without', 'and', 'in', 'the', 'presence', 'of', 'a', 'gas', 'component', 'another', 'issue', 'is', 'the', 'disk', 'growth', 'within', 'an', 'assembling', 'triaxial', 'dark', 'matter', 'halo', 'we', 'argue', 'that', 'while', 'the', 'triaxiality', 'is', 'the', 'result', 'of', 'the', 'merger', 'process', 'and', 'the', 'radial', 'orbit', 'instability', 'it', 'is', 'the', 'developing', 'chaos', 'that', 'damps', 'the', 'first', 'generation', 'of', 'bars', 'and', 'washes', 'out', 'the', 'halo', 'prolateness', 'this', 'chaos', 'is', 'triggered', 'by', 'the', 'gravitational', 'quadrupole', 'interactions', 'in', 'the', 'system', 'and', 'supported', 'by', 'a', 'number', 'of', 'other', 'processes', 'which', 'are', 'characteristic', 'of', 'baryons']] | [-0.18530680280598752, 0.14609433573392702, -0.10579825368183274, 0.09024558229561012, -0.04761087575875153, -0.0345203608761881, -0.019962725760502235, 0.3349621767291329, -0.2236641843620444, -0.27188502212934124, 0.06367245562500799, -0.26044036741324955, -0.10188292145128493, 0.17173390017352372, 0.04999933865848302, -0.00644165983371367, 0.016969081345144833, -0.04677291031030364, -0.011260907274505523, -0.2390470043212071, 0.39182186370419564, 0.07885559009405498, 0.15268589966608404, 0.010118067230829081, 0.04450390176307932, -0.04168936092119281, -0.0398654485182297, -0.0352548570589763, -0.1308168676061932, 0.043013970680952626, 0.16514716599622517, 0.09184680163216229, 0.2738759347877387, -0.4301135881812634, -0.2103886539290581, 0.08017833579644978, 0.19025031563382003, 0.12174250023704997, -0.11278987531963666, -0.27751617982687654, 0.06119611723104788, -0.20410288482138486, -0.17884654825048468, -0.006362001983901468, 0.05082084309031194, 0.0341424586438513, -0.23041857356014095, 0.14331106454782433, 0.13382491354926307, 0.05546221088304698, -0.05136439964614774, -0.05616807618948727, -0.06826725327105165, 0.0657179599364558, 0.08351047855021788, 0.03095148799694241, 0.23801406294871208, -0.16385806154102853, -0.036073494042165435, 0.4261728358317915, -0.0440834941860358, -0.14225658640770295, 0.20614631757331647, -0.1789940836987345, -0.14733851137875675, 0.10427022680083167, 0.14474799529710244, 0.06271821066354201, -0.11819140998664025, 0.06012542418445783, -0.004583800259420527, 0.17881058858246238, 0.05272408014502829, -0.005235645650215795, 0.35382687613785824, 0.16623881696418763, 0.052681367383033875, 0.09837348785122996, -0.10852103517390788, -0.10423710265536314, -0.2620928173223249, -0.11332000760474703, -0.15234078719306773, -0.0027366569570361453, -0.07475304304092804, -0.12914962914258798, 0.3722429933052545, 0.11078704528023149, 0.21027960569519444, -0.000796014639966747, 0.3115499118847825, 0.07832753470398172, 0.07276705925779364, 0.07400322158028867, 0.33521914935293257, 0.15919194926255356, 0.03508908954170471, -0.2731452386687014, 0.08373791769268775, -0.0002869972088765875] |
710.0631 | Gauge Theory And Wild Ramification | The gauge theory approach to the geometric Langlands program is extended to
the case of wild ramification. The new ingredients that are required, relative
to the tamely ramified case, are differential operators with irregular
singularities, Stokes phenomena, isomonodromic deformation, and, from a
physical point of view, new surface operators associated with higher order
singularities.
| hep-th | the gauge theory approach to the geometric langlands program is extended to the case of wild ramification the new ingredients that are required relative to the tamely ramified case are differential operators with irregular singularities stokes phenomena isomonodromic deformation and from a physical point of view new surface operators associated with higher order singularities | [['the', 'gauge', 'theory', 'approach', 'to', 'the', 'geometric', 'langlands', 'program', 'is', 'extended', 'to', 'the', 'case', 'of', 'wild', 'ramification', 'the', 'new', 'ingredients', 'that', 'are', 'required', 'relative', 'to', 'the', 'tamely', 'ramified', 'case', 'are', 'differential', 'operators', 'with', 'irregular', 'singularities', 'stokes', 'phenomena', 'isomonodromic', 'deformation', 'and', 'from', 'a', 'physical', 'point', 'of', 'view', 'new', 'surface', 'operators', 'associated', 'with', 'higher', 'order', 'singularities']] | [-0.16443766083533842, 0.05106992481483354, -0.15344513987225514, 0.11806167946930078, -0.1658164658497467, -0.19105805497168116, -0.04148178293447321, 0.24744569799966282, -0.3205551186369525, -0.24162235666342355, 0.09227828318210042, -0.25192069400239875, -0.2182212755670426, 0.17685912959967498, -0.1810110041319772, 0.07128247692836104, -0.007134911880173065, 0.030582187852511804, -0.09579266881121805, -0.2940173842426803, 0.42280506277974284, -0.029087294582967407, 0.19328985017879555, 0.016840889413961797, 0.07191515802319541, -0.0022377881687134504, -0.013798534525213417, -0.019038526065371656, -0.10676691243578615, 0.15440310932764853, 0.32512845743999436, -0.002725450115071403, 0.15728169860516641, -0.41856401279154754, -0.18215540505048852, 0.14779318727690866, 0.1057342179119587, 0.10599292331823597, 0.035064278135972994, -0.29456952099550376, 0.07865903179885612, -0.11277369202839004, -0.25277786647806083, -0.08170220235155688, 0.005459178446067704, 0.018754411799212296, -0.23674944883074472, 0.032680526893171996, 0.04985545537312174, 0.17058220647137473, -0.05071489045534421, -0.07817609143374418, -0.0968562297143594, 0.060686112062453675, 0.06633704985466062, 0.02964964301187407, 0.14017453722448814, -0.1516743190586567, -0.09965252796946852, 0.3952381227993303, -0.039142035510546215, -0.17358536045584413, 0.1927063635257245, -0.193643135484308, -0.14751623843417125, 0.2017194456162138, 0.11729373743636878, 0.15522615737454207, -0.07332491362467408, 0.16505252408549292, -0.019602156658139493, 0.05625038637393758, 0.07044499555464696, 0.0055548499114121555, 0.1744080536429667, 0.07225190808444663, 0.08951267598334837, 0.08114376667611024, -0.06445680962362396, -0.1009567922188176, -0.4561474910350861, -0.1446815533369469, -0.04227366320857847, 0.04054667619574401, -0.11679570129355718, -0.1509150058996898, 0.42388127588977415, 0.11259021375466276, 0.1863412185986009, 0.06843647797574738, 0.20619908224411862, 0.12949421030848665, 0.0984171991046794, -0.03139487334044167, 0.12687618402695214, 0.20969118103729906, 0.04992245600765778, -0.19845523990914915, -0.06522417803191477, 0.21684665965882163] |
710.0632 | Dependence of the Build-up of the Colour-Magnitude Relation on Cluster
Richness at z ~ 0.8 | We present environmental dependence of the build-up of the colour-magnitude
relation (CMR) at z ~ 0.8. It is well established that massive early-type
galaxies exhibit a tight CMR in clusters up to at least z ~ 1. The faint end of
the relation, however, has been much less explored especially at high redshifts
primarily due to limited depths of the data. Some recent papers have reported a
deficit of the faint red galaxies on the CMR at 0.8 < z < 1, but this has not
been well confirmed yet and is still controversial. Using a deep, multi-colour,
panoramic imaging data set of the distant cluster RXJ1716.4+6708 at z=0.81,
newly taken with the Prime Focus Camera (Suprime-Cam) on the Subaru Telescope,
we carry out an analysis of faint red galaxies with a care for incompleteness.
We find that there is a sharp decline in the number of red galaxies toward the
faint end of the CMR below M*+2. We compare our result with those for other
clusters at z ~ 0.8 taken from the literature, which show or do not show the
deficit. We suggest that the "deficit" of faint red galaxies is dependent on
the richness or mass of the clusters, in the sense that poorer systems show
stronger deficits. This indicates that the evolutionary stage of less massive
galaxies depends critically on environment.
| astro-ph | we present environmental dependence of the buildup of the colourmagnitude relation cmr at z 08 it is well established that massive earlytype galaxies exhibit a tight cmr in clusters up to at least z 1 the faint end of the relation however has been much less explored especially at high redshifts primarily due to limited depths of the data some recent papers have reported a deficit of the faint red galaxies on the cmr at 08 z 1 but this has not been well confirmed yet and is still controversial using a deep multicolour panoramic imaging data set of the distant cluster rxj171646708 at z081 newly taken with the prime focus camera suprimecam on the subaru telescope we carry out an analysis of faint red galaxies with a care for incompleteness we find that there is a sharp decline in the number of red galaxies toward the faint end of the cmr below m2 we compare our result with those for other clusters at z 08 taken from the literature which show or do not show the deficit we suggest that the deficit of faint red galaxies is dependent on the richness or mass of the clusters in the sense that poorer systems show stronger deficits this indicates that the evolutionary stage of less massive galaxies depends critically on environment | [['we', 'present', 'environmental', 'dependence', 'of', 'the', 'buildup', 'of', 'the', 'colourmagnitude', 'relation', 'cmr', 'at', 'z', '08', 'it', 'is', 'well', 'established', 'that', 'massive', 'earlytype', 'galaxies', 'exhibit', 'a', 'tight', 'cmr', 'in', 'clusters', 'up', 'to', 'at', 'least', 'z', '1', 'the', 'faint', 'end', 'of', 'the', 'relation', 'however', 'has', 'been', 'much', 'less', 'explored', 'especially', 'at', 'high', 'redshifts', 'primarily', 'due', 'to', 'limited', 'depths', 'of', 'the', 'data', 'some', 'recent', 'papers', 'have', 'reported', 'a', 'deficit', 'of', 'the', 'faint', 'red', 'galaxies', 'on', 'the', 'cmr', 'at', '08', 'z', '1', 'but', 'this', 'has', 'not', 'been', 'well', 'confirmed', 'yet', 'and', 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'stronger', 'deficits', 'this', 'indicates', 'that', 'the', 'evolutionary', 'stage', 'of', 'less', 'massive', 'galaxies', 'depends', 'critically', 'on', 'environment']] | [-0.06864021402064034, 0.08843278592850601, -0.09736891653473405, 0.10255772209017198, -0.08360722914803773, -0.07781686223620041, 0.07374992682572074, 0.4372929236004976, -0.12536254437978972, -0.3558761112518947, 0.059250645971835846, -0.32905062182848765, -0.09130982057170266, 0.19433625091531379, -0.07597533353308046, -0.039796190011442044, 0.06264419263990766, -0.043656401391225785, -0.03659835764820772, -0.3205050794196061, 0.3090361217470755, 0.04741087027875685, 0.2290642658650706, -0.038301204427790995, 0.07631931329378858, -0.06895052379378203, -0.0824776912076314, -0.0036501913373781876, -0.14742679905800535, 0.014295464350884272, 0.23106694084867327, 0.10602142279332673, 0.3021044630303302, -0.32631000247466463, -0.16780456884086808, 0.10831735856111416, 0.22345584787174383, 0.057175364139468665, 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710.0633 | The Effect of Pure State Structure on Nonequilibrium Dynamics | Motivated by short-range Ising spin glasses, we review some rigorous results
and their consequences for the relation between the number/nature of
equilibrium pure states and nonequilibrium dynamics. Two of the consequences
for spin glass dynamics following a deep quench to a temperature with broken
spin flip symmetry are: (1) Almost all initial configurations lie on the
boundary between the basins of attraction of multiple pure states. (2) Unless
there are uncountably many pure states with almost all pairs having zero
overlap, there can be no equilibration to a pure state as time goes to
infinity. We discuss the relevance of these results to the difficulty of
equilibration of spin glasses. We also review some results concerning the
``nature vs. nurture'' problem of whether the large-time behavior of both
ferromagnets and spin glasses following a deep quench is determined more by the
initial configuration or by the dynamics realization.
| cond-mat.dis-nn cond-mat.stat-mech | motivated by shortrange ising spin glasses we review some rigorous results and their consequences for the relation between the numbernature of equilibrium pure states and nonequilibrium dynamics two of the consequences for spin glass dynamics following a deep quench to a temperature with broken spin flip symmetry are 1 almost all initial configurations lie on the boundary between the basins of attraction of multiple pure states 2 unless there are uncountably many pure states with almost all pairs having zero overlap there can be no equilibration to a pure state as time goes to infinity we discuss the relevance of these results to the difficulty of equilibration of spin glasses we also review some results concerning the nature vs nurture problem of whether the largetime behavior of both ferromagnets and spin glasses following a deep quench is determined more by the initial configuration or by the dynamics realization | [['motivated', 'by', 'shortrange', 'ising', 'spin', 'glasses', 'we', 'review', 'some', 'rigorous', 'results', 'and', 'their', 'consequences', 'for', 'the', 'relation', 'between', 'the', 'numbernature', 'of', 'equilibrium', 'pure', 'states', 'and', 'nonequilibrium', 'dynamics', 'two', 'of', 'the', 'consequences', 'for', 'spin', 'glass', 'dynamics', 'following', 'a', 'deep', 'quench', 'to', 'a', 'temperature', 'with', 'broken', 'spin', 'flip', 'symmetry', 'are', '1', 'almost', 'all', 'initial', 'configurations', 'lie', 'on', 'the', 'boundary', 'between', 'the', 'basins', 'of', 'attraction', 'of', 'multiple', 'pure', 'states', '2', 'unless', 'there', 'are', 'uncountably', 'many', 'pure', 'states', 'with', 'almost', 'all', 'pairs', 'having', 'zero', 'overlap', 'there', 'can', 'be', 'no', 'equilibration', 'to', 'a', 'pure', 'state', 'as', 'time', 'goes', 'to', 'infinity', 'we', 'discuss', 'the', 'relevance', 'of', 'these', 'results', 'to', 'the', 'difficulty', 'of', 'equilibration', 'of', 'spin', 'glasses', 'we', 'also', 'review', 'some', 'results', 'concerning', 'the', 'nature', 'vs', 'nurture', 'problem', 'of', 'whether', 'the', 'largetime', 'behavior', 'of', 'both', 'ferromagnets', 'and', 'spin', 'glasses', 'following', 'a', 'deep', 'quench', 'is', 'determined', 'more', 'by', 'the', 'initial', 'configuration', 'or', 'by', 'the', 'dynamics', 'realization']] | [-0.14947421559477922, 0.2367195773800062, -0.10158818619496816, 0.07317325411139525, 0.0015618036988945235, -0.13449958334898665, 0.030069807514256867, 0.37327325465094274, -0.24476170318429263, -0.2636187370093603, 0.11022293605353861, -0.29442028746287635, -0.11368996612284155, 0.13635910708349527, 0.03342638730521307, 0.04276382424520189, 0.025637996699787727, -0.001228044623648431, -0.11234043965584972, -0.235051574233799, 0.3529787038224844, -0.04243391646637714, 0.2681124360066186, 0.07554891764908572, 0.06490054217253916, 0.03584553038093204, 0.08745837298564005, 0.012924831753381256, -0.15704734426872413, 0.031725309912327575, 0.22397157562212372, 0.07368357071247535, 0.22633720219743494, -0.4618141180107079, -0.19357733431646004, 0.13986629506154935, 0.09667755620234146, 0.15710679491741114, -0.03560355777322033, -0.27106191656001066, 0.033985340768205266, -0.16495422724330303, -0.17313148030935196, -0.09466535334164898, 0.05170295990807112, 0.007447868390769071, -0.18935182338998635, 0.09136573998015976, 0.1449980535021774, 0.07943045534193516, -0.09114043886272781, -0.11581903061873856, -0.055364532918878356, 0.14807956173642203, 0.07775104210037281, 0.0031526685869764713, 0.12667270470806555, -0.17720819696733336, -0.16309963373251918, 0.3308358456571998, -0.03211993589636167, -0.17890631629618955, 0.27095135539250614, -0.15435925121957653, -0.1208539081952807, 0.10381759885622531, 0.08199333878816897, 0.08981669289661812, -0.13078656618413673, 0.04937536437040651, -0.009006768451579118, 0.12439248076050866, 0.04733973286006929, 0.05027241102929804, 0.24011339372670165, 0.16555137876547923, 0.06931439430419621, 0.15027177976333492, -0.03345643096369039, -0.17151781589071563, -0.2831564575887513, -0.12915729442064897, -0.21568883998718644, 0.13402127153335178, -0.06882447806683126, -0.13426909171247564, 0.4073525867741682, 0.14430302662812933, 0.21861658520920543, 0.042984997554283054, 0.20500427801288715, 0.07206917403592114, -0.021124726954885587, 0.06281236736864156, 0.21923720326193855, 0.173907790998263, 0.07606097645138954, -0.26001546329495556, 0.05803592328764625, 0.022777727196867367] |
710.0634 | Collective stimulated Brillouin backscatter | We develop the statistical theory of the stimulated Brillouin backscatter
(BSBS) instability of a spatially and temporally partially incoherent laser
beam for laser fusion relevant plasma. We find a new regime of BSBS which has a
much larger threshold than the classical threshold of a coherent beam in
long-scale-length laser fusion plasma. Instability is collective because it
does not depend on the dynamics of isolated speckles of laser intensity, but
rather depends on averaged beam intensity. We identify convective and absolute
instability regimes. Well above the incoherent threshold the coherent
instability growth rate is recovered. The threshold of convective instability
is inside the typical parameter region of National Ignition Facility (NIF)
designs although current NIF bandwidth is not large enough to insure dominance
of collective instability and suggests lower instability threshold due to
speckle contribution. In contrast, we estimate that the bandwidth of
KrF-laser-based fusion systems would be large enough.
| physics.plasm-ph | we develop the statistical theory of the stimulated brillouin backscatter bsbs instability of a spatially and temporally partially incoherent laser beam for laser fusion relevant plasma we find a new regime of bsbs which has a much larger threshold than the classical threshold of a coherent beam in longscalelength laser fusion plasma instability is collective because it does not depend on the dynamics of isolated speckles of laser intensity but rather depends on averaged beam intensity we identify convective and absolute instability regimes well above the incoherent threshold the coherent instability growth rate is recovered the threshold of convective instability is inside the typical parameter region of national ignition facility nif designs although current nif bandwidth is not large enough to insure dominance of collective instability and suggests lower instability threshold due to speckle contribution in contrast we estimate that the bandwidth of krflaserbased fusion systems would be large enough | [['we', 'develop', 'the', 'statistical', 'theory', 'of', 'the', 'stimulated', 'brillouin', 'backscatter', 'bsbs', 'instability', 'of', 'a', 'spatially', 'and', 'temporally', 'partially', 'incoherent', 'laser', 'beam', 'for', 'laser', 'fusion', 'relevant', 'plasma', 'we', 'find', 'a', 'new', 'regime', 'of', 'bsbs', 'which', 'has', 'a', 'much', 'larger', 'threshold', 'than', 'the', 'classical', 'threshold', 'of', 'a', 'coherent', 'beam', 'in', 'longscalelength', 'laser', 'fusion', 'plasma', 'instability', 'is', 'collective', 'because', 'it', 'does', 'not', 'depend', 'on', 'the', 'dynamics', 'of', 'isolated', 'speckles', 'of', 'laser', 'intensity', 'but', 'rather', 'depends', 'on', 'averaged', 'beam', 'intensity', 'we', 'identify', 'convective', 'and', 'absolute', 'instability', 'regimes', 'well', 'above', 'the', 'incoherent', 'threshold', 'the', 'coherent', 'instability', 'growth', 'rate', 'is', 'recovered', 'the', 'threshold', 'of', 'convective', 'instability', 'is', 'inside', 'the', 'typical', 'parameter', 'region', 'of', 'national', 'ignition', 'facility', 'nif', 'designs', 'although', 'current', 'nif', 'bandwidth', 'is', 'not', 'large', 'enough', 'to', 'insure', 'dominance', 'of', 'collective', 'instability', 'and', 'suggests', 'lower', 'instability', 'threshold', 'due', 'to', 'speckle', 'contribution', 'in', 'contrast', 'we', 'estimate', 'that', 'the', 'bandwidth', 'of', 'krflaserbased', 'fusion', 'systems', 'would', 'be', 'large', 'enough']] | [-0.1456631919933208, 0.24313630270709177, -0.08259579423665, 0.09747318282173384, -0.0471673614795526, -0.12909907540743984, 0.08143294437229008, 0.3706844900359693, -0.2571691708614262, -0.23154240196583256, 0.07214632055537788, -0.22229034004845474, -0.0614967103020113, 0.22514106791416472, -0.056417266821259034, 0.054996026959582764, 0.04585406168882779, -0.00588577339463186, 0.03732370458396414, -0.13296299446811713, 0.3232972951271515, 0.1610032681707018, 0.3685607720328957, 0.06593578491647471, 0.06629097048855769, -0.018482167332748815, 0.008623400128027738, -0.04055843430402495, -0.12970798751953622, 0.013005414788592481, 0.24140365208161607, 0.070371091709591, 0.2834859134054324, -0.4159533291955122, -0.24945674271279034, 0.07684520872359808, 0.18197360075424243, 0.1498292335871632, -0.01881363202705229, -0.20226513683458403, 0.05308526727345916, -0.1652179221472634, -0.13668145778770216, -0.0069908450352537425, 0.0078890707231308, 0.06003183440810019, -0.3335598664945804, 0.08399446702080986, 0.06900412840034263, 0.05395160838586572, -0.05713717008303326, -0.049563997931428405, -0.015583471315381611, 0.026271257318256285, 0.010356884612233047, 0.044868969574926934, 0.21994011520701867, -0.17227124533422242, -0.013719794068535502, 0.35105797650930065, -0.039963139796605325, -0.08084368221336763, 0.18514986702509775, -0.24163430443521114, -0.014290924209026282, 0.25938268824661737, 0.17765500662682715, 0.12645606525029812, -0.0694096841186835, -0.01961679643312244, -0.006598738619070125, 0.2060844856454997, 0.1436910302184472, 0.07087315364909552, 0.1874512524137761, 0.22459828081828287, 0.09398091498265455, 0.12152045852139017, -0.1566795537970185, -0.08084437509861168, -0.299766802688398, -0.020739159583123463, -0.10842297729979826, 0.03388548905327572, 0.011316145451769902, -0.15582309500783081, 0.36043610645070573, 0.1669635795468571, 0.13503489568329496, -0.04684054174682363, 0.29960585754964775, 0.1666273655953517, 0.08919825127048281, 0.0604707235532919, 0.3207221917695547, 0.14724360675169718, 0.09094581456117382, -0.26633627450049874, 0.05780542869395858, 0.005955532116615432] |
710.0635 | Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type | Let $\Phi$ be a root system and let $\Phi(\Zp)$ be the standard Chevalley
$\Zp$-Lie algebra associated to $\Phi$. For any integer $t\geq 1$, let $G$ be
the uniform pro-$p$ group corresponding to the powerful Lie algebra $p^t
\Phi(\Zp)$ and suppose that $p\geq 5$. Then the Iwasawa algebra $\Omega_G$ has
no nontrivial reflexive two-sided ideals. This was previously proved by the
authors for the root system $A_1$.
| math.RA math.NT | let phi be a root system and let phizp be the standard chevalley zplie algebra associated to phi for any integer tgeq 1 let g be the uniform prop group corresponding to the powerful lie algebra pt phizp and suppose that pgeq 5 then the iwasawa algebra omega_g has no nontrivial reflexive twosided ideals this was previously proved by the authors for the root system a_1 | [['let', 'phi', 'be', 'a', 'root', 'system', 'and', 'let', 'phizp', 'be', 'the', 'standard', 'chevalley', 'zplie', 'algebra', 'associated', 'to', 'phi', 'for', 'any', 'integer', 'tgeq', '1', 'let', 'g', 'be', 'the', 'uniform', 'prop', 'group', 'corresponding', 'to', 'the', 'powerful', 'lie', 'algebra', 'pt', 'phizp', 'and', 'suppose', 'that', 'pgeq', '5', 'then', 'the', 'iwasawa', 'algebra', 'omega_g', 'has', 'no', 'nontrivial', 'reflexive', 'twosided', 'ideals', 'this', 'was', 'previously', 'proved', 'by', 'the', 'authors', 'for', 'the', 'root', 'system', 'a_1']] | [-0.18102261735341296, 0.11849991085115247, -0.10806431909306691, 0.013717767329385074, -0.14932676968522943, -0.23546694717011774, -0.09828760275760522, 0.30978536227574716, -0.3878230290630689, -0.1886071148292663, 0.12936008697590576, -0.26384397567464757, -0.05245853674669678, 0.19088849949722106, -0.128272758037425, -0.07503700247034431, 0.01761324073976049, 0.20524111920967697, -0.057877597954267494, -0.24723093943813673, 0.34104710310840836, -0.03225783203871777, 0.13559010325429532, 0.0038236850442794654, 0.09565016451076819, 0.012453796750364395, 0.07264125361823692, -0.01351315790357498, -0.2006730466459815, 0.019023685429531794, 0.3324117210908578, 0.03856495561508032, 0.26916134294409017, -0.3161794627085328, -0.08661972009845507, 0.31576503565391667, 0.1842951613693283, -0.1184468911960721, -0.01654700877574774, -0.27331712908612993, 0.2458166422895514, -0.2182220186178501, -0.16361196935893252, -0.03606919795095634, 0.16329835104541138, -0.06556364654635008, -0.34438614113471255, 0.01310063792535892, 0.08741230973973871, 0.17899597208373821, -0.03225907616747113, -0.1955861385446042, -0.10228439638247856, 0.02852987296736011, -0.12010328938754705, 0.1544193477441485, 0.09337872976007369, -0.0022968697970589765, -0.18107939506522738, 0.3505829616234853, 0.0032040935009717943, -0.20802289319153017, 0.0626172266040857, -0.24672071390713637, -0.1403241770198712, 0.1015027923652759, 0.04946359096524807, 0.07797281517145725, -0.027242499561263966, 0.26165176561782855, -0.1487645249383954, 0.10374388211908249, 0.05672303349711001, -0.08394573327476303, 0.10239532380723036, 0.020340658004324025, 0.06134786038399817, 0.10604325129757994, 0.09541436354898346, 0.10263857566393339, -0.36127130629924625, -0.19136786554008722, -0.13232872891239822, 0.23006474962816215, -0.160758285238318, -0.08384511973708868, 0.36014763019405877, 0.07392463267136079, 0.08691946733742953, 0.13831740682228252, 0.15709371194243432, 0.14319526059553028, 0.11874079823923799, 0.11744830320374323, 0.03591373360787447, 0.286740924579163, -0.04710149987099262, -0.13764293855056167, -0.03326771014298384, 0.211495046546826] |
710.0636 | Extended cavity diode lasers with tracked resonances | We present a painless, almost-free upgrade to present extended cavity diode
lasers (ECDLs), which improves the long term mode-hop free performance by
stabilizing the resonance of the internal cavity to the external cavity. This
stabilization is based on the observation that the frequency or amplitude noise
of the ECDL is lowest at the optimum laser diode temperature or injection
current. Thus, keeping the diode current at the level where the noise is lowest
ensures mode-hop free operation within one of the stable regions of the mode
chart, even if these should drift due to external influences. This method can
be applied directly to existing laser systems without modifying the optical
setup. We demonstrate the method in two ECDLs stabilized to vapor cells at 852
nm and 895 nm wavelength. We achieve long term mode-hop free operation and low
noise at low power consumption, even with an inexpensive non-antireflection
coated diode.
| physics.optics physics.atom-ph | we present a painless almostfree upgrade to present extended cavity diode lasers ecdls which improves the long term modehop free performance by stabilizing the resonance of the internal cavity to the external cavity this stabilization is based on the observation that the frequency or amplitude noise of the ecdl is lowest at the optimum laser diode temperature or injection current thus keeping the diode current at the level where the noise is lowest ensures modehop free operation within one of the stable regions of the mode chart even if these should drift due to external influences this method can be applied directly to existing laser systems without modifying the optical setup we demonstrate the method in two ecdls stabilized to vapor cells at 852 nm and 895 nm wavelength we achieve long term modehop free operation and low noise at low power consumption even with an inexpensive nonantireflection coated diode | [['we', 'present', 'a', 'painless', 'almostfree', 'upgrade', 'to', 'present', 'extended', 'cavity', 'diode', 'lasers', 'ecdls', 'which', 'improves', 'the', 'long', 'term', 'modehop', 'free', 'performance', 'by', 'stabilizing', 'the', 'resonance', 'of', 'the', 'internal', 'cavity', 'to', 'the', 'external', 'cavity', 'this', 'stabilization', 'is', 'based', 'on', 'the', 'observation', 'that', 'the', 'frequency', 'or', 'amplitude', 'noise', 'of', 'the', 'ecdl', 'is', 'lowest', 'at', 'the', 'optimum', 'laser', 'diode', 'temperature', 'or', 'injection', 'current', 'thus', 'keeping', 'the', 'diode', 'current', 'at', 'the', 'level', 'where', 'the', 'noise', 'is', 'lowest', 'ensures', 'modehop', 'free', 'operation', 'within', 'one', 'of', 'the', 'stable', 'regions', 'of', 'the', 'mode', 'chart', 'even', 'if', 'these', 'should', 'drift', 'due', 'to', 'external', 'influences', 'this', 'method', 'can', 'be', 'applied', 'directly', 'to', 'existing', 'laser', 'systems', 'without', 'modifying', 'the', 'optical', 'setup', 'we', 'demonstrate', 'the', 'method', 'in', 'two', 'ecdls', 'stabilized', 'to', 'vapor', 'cells', 'at', '852', 'nm', 'and', '895', 'nm', 'wavelength', 'we', 'achieve', 'long', 'term', 'modehop', 'free', 'operation', 'and', 'low', 'noise', 'at', 'low', 'power', 'consumption', 'even', 'with', 'an', 'inexpensive', 'nonantireflection', 'coated', 'diode']] | [-0.1477073227467903, 0.17360273211807303, -0.03649579937376032, -0.03226137879357717, -0.01729645888671129, -0.19862607644320834, 0.07017609821601252, 0.4403655593027204, -0.25446536770753014, -0.30647384095311964, 0.09699713298972797, -0.21886169132245267, -0.03578349775103415, 0.21727448425899515, -0.08288555652459446, 0.010344348041553226, 0.017767610319033764, -0.003907533878173004, 0.018507074722520157, -0.18316542762081645, 0.23447072927155627, 0.11990732610289745, 0.3208821721612507, 0.028652505163140846, 0.16142414735267627, -0.0330353680382414, 0.06869374321861155, -0.06426161286052341, -0.08466159052789976, 0.06043405025484878, 0.21843767181138865, -0.021456397254951298, 0.26778952408606976, -0.4306752464340237, -0.20950591528863216, 0.05904913313168057, 0.12865887227118164, 0.13412859905495514, -0.016287276425223873, -0.2435180963948369, 0.09173909866019783, -0.16255678463220946, -0.13313908140712585, -0.02558304494459357, -0.03707454424826491, 0.007262526826164216, -0.2763169752308886, 0.014220607720140443, 0.03850387347449592, 0.04246842116742526, -0.06479439713160863, -0.08847840250494746, -0.01294054065349718, 0.0876627901237733, -0.025445476697832845, 0.039131680696666706, 0.22491812627237515, -0.125066698711653, -0.059040035719627, 0.30862558696218984, -0.13415360253854286, -0.1346218771607484, 0.16196326680650197, -0.17895969057818187, 0.0024973930659760164, 0.1901484653291186, 0.09408532584323578, 0.07752313946323756, -0.11926879394633833, 0.04450352583353989, 0.08169176078545268, 0.2668715881421262, 0.15072578772583714, 0.09088854363575678, 0.20118131597554498, 0.21652313358081668, 0.0770198843510659, 0.15492202415859213, -0.13272453520928304, -0.026028752746529278, -0.2668040456725347, -0.08072451667527313, -0.14345070762280843, 0.0406882326374918, -0.043242560693136284, -0.13866362089584988, 0.40571943551751993, 0.1569386269403434, 0.10643974283902324, -0.004007297050014088, 0.3835358581905747, 0.15046280167524972, 0.10113807343221551, 0.025581060863418766, 0.2845476792145508, 0.08537839010089086, 0.1169302868719319, -0.3054096867742904, 0.008051006151550768, -0.0038589939003147735] |
710.0637 | Super-resolving distant galaxies with gravitational telescopes:
Keck-LGSAO and Hubble imaging of the lens system SDSSJ0737+3216 | We combine high-resolution images in four optical/infra-red bands, obtained
with the laser guide star adaptive optics system on the Keck Telescope and with
the Hubble Space Telescope, to study the gravitational lens system
SDSSJ0737+3216 (lens redshift 0.3223, source redshift 0.5812). We show that
(under favorable observing conditions) ground-based images are comparable to
those obtained with HST in terms of precision in the determination of the
parameters of both the lens mass distribution and the background source. We
also quantify the systematic errors associated with both the incomplete
knowledge of the PSF, and the uncertain process of lens galaxy light removal,
and find that similar accuracy can be achieved with Keck LGSAO as with HST. We
then exploit this well-calibrated combination of optical and gravitational
telescopes to perform a multi-wavelength study of the source galaxy at 0.01"
effective resolution. We find the Sersic index to be indicative of a disk-like
object, but the measured half-light radius (0.59+-0.007+-0.1 kpc) and stellar
mass (2.0+-1.0+-0.8e9Msun) place it more than three sigma away from the local
disk size-mass relation. The SDSSJ0737+3216 source has the characteristics of
the most compact faint blue galaxies studied, and has comparable size and mass
to dwarf early-type galaxies in the local universe. With the aid of
gravitational telescopes to measure individual objects' brightness profiles to
10% accuracy, the study of the high-redshift size-mass relation may be extended
by an order of magnitude or more beyond existing surveys at the low-mass end,
thus providing a new observational test of galaxy formation models.
| astro-ph | we combine highresolution images in four opticalinfrared bands obtained with the laser guide star adaptive optics system on the keck telescope and with the hubble space telescope to study the gravitational lens system sdssj07373216 lens redshift 03223 source redshift 05812 we show that under favorable observing conditions groundbased images are comparable to those obtained with hst in terms of precision in the determination of the parameters of both the lens mass distribution and the background source we also quantify the systematic errors associated with both the incomplete knowledge of the psf and the uncertain process of lens galaxy light removal and find that similar accuracy can be achieved with keck lgsao as with hst we then exploit this wellcalibrated combination of optical and gravitational telescopes to perform a multiwavelength study of the source galaxy at 001 effective resolution we find the sersic index to be indicative of a disklike object but the measured halflight radius 059000701 kpc and stellar mass 201008e9msun place it more than three sigma away from the local disk sizemass relation the sdssj07373216 source has the characteristics of the most compact faint blue galaxies studied and has comparable size and mass to dwarf earlytype galaxies in the local universe with the aid of gravitational telescopes to measure individual objects brightness profiles to 10 accuracy the study of the highredshift sizemass relation may be extended by an order of magnitude or more beyond existing surveys at the lowmass end thus providing a new observational test of galaxy formation models | [['we', 'combine', 'highresolution', 'images', 'in', 'four', 'opticalinfrared', 'bands', 'obtained', 'with', 'the', 'laser', 'guide', 'star', 'adaptive', 'optics', 'system', 'on', 'the', 'keck', 'telescope', 'and', 'with', 'the', 'hubble', 'space', 'telescope', 'to', 'study', 'the', 'gravitational', 'lens', 'system', 'sdssj07373216', 'lens', 'redshift', '03223', 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'to', 'be', 'indicative', 'of', 'a', 'disklike', 'object', 'but', 'the', 'measured', 'halflight', 'radius', '059000701', 'kpc', 'and', 'stellar', 'mass', '201008e9msun', 'place', 'it', 'more', 'than', 'three', 'sigma', 'away', 'from', 'the', 'local', 'disk', 'sizemass', 'relation', 'the', 'sdssj07373216', 'source', 'has', 'the', 'characteristics', 'of', 'the', 'most', 'compact', 'faint', 'blue', 'galaxies', 'studied', 'and', 'has', 'comparable', 'size', 'and', 'mass', 'to', 'dwarf', 'earlytype', 'galaxies', 'in', 'the', 'local', 'universe', 'with', 'the', 'aid', 'of', 'gravitational', 'telescopes', 'to', 'measure', 'individual', 'objects', 'brightness', 'profiles', 'to', '10', 'accuracy', 'the', 'study', 'of', 'the', 'highredshift', 'sizemass', 'relation', 'may', 'be', 'extended', 'by', 'an', 'order', 'of', 'magnitude', 'or', 'more', 'beyond', 'existing', 'surveys', 'at', 'the', 'lowmass', 'end', 'thus', 'providing', 'a', 'new', 'observational', 'test', 'of', 'galaxy', 'formation', 'models']] | [-0.04037676888864906, 0.05307053754905628, -0.09628191328968624, 0.08619367538750729, -0.1333950694336803, -0.07751761244571939, 0.005513291872505631, 0.45052034094625587, -0.15081737817179564, -0.38636915431338914, 0.07388911592508, -0.2881799745734553, -0.04575848710362096, 0.22747817853636734, -0.04696723890623876, 0.01002228136830108, 0.09237510522884526, -0.07824089924937912, -0.08759789183362843, -0.28510596680987094, 0.32540563681276935, 0.11214191730951473, 0.17030347728441297, -0.07086602470443147, 0.09563526291476221, -0.05255531000201495, -0.11877744718625838, 0.006835277437360729, -0.1657452480680409, 0.053911493674908974, 0.22969180737897973, 0.13441138921153484, 0.20581447149113732, -0.33653374748038395, -0.20833450634108513, 0.06815891580273663, 0.16780774569595042, 0.04208783802139212, -0.05612644420245339, -0.32983313285061444, 0.06317298284693793, -0.1608406647726209, -0.18420967934748195, 0.05405644014221141, -0.0015396330876237883, 0.03088361647037067, 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710.0638 | Sheaves on abelian surfaces and Strange Duality | We formulate three versions of a strange duality conjecture for sections of
the Theta bundles on the moduli spaces of sheaves on abelian surfaces. As
supporting evidence, we check the equality of dimensions on dual moduli spaces,
answering a question raised by Gottsche-Nakajima-Yoshioka.
| math.AG | we formulate three versions of a strange duality conjecture for sections of the theta bundles on the moduli spaces of sheaves on abelian surfaces as supporting evidence we check the equality of dimensions on dual moduli spaces answering a question raised by gottschenakajimayoshioka | [['we', 'formulate', 'three', 'versions', 'of', 'a', 'strange', 'duality', 'conjecture', 'for', 'sections', 'of', 'the', 'theta', 'bundles', 'on', 'the', 'moduli', 'spaces', 'of', 'sheaves', 'on', 'abelian', 'surfaces', 'as', 'supporting', 'evidence', 'we', 'check', 'the', 'equality', 'of', 'dimensions', 'on', 'dual', 'moduli', 'spaces', 'answering', 'a', 'question', 'raised', 'by', 'gottschenakajimayoshioka']] | [-0.2031814420895119, 0.11025376795719023, -0.08634732104837894, 0.18639924931561663, -0.06347686451460634, -0.13254230972822933, 0.062404532162916096, 0.3185962669196583, -0.24539603820691505, -0.21230909485547317, 0.12991884896819966, -0.22484084750370434, -0.14349116923819696, 0.22014723526358249, -0.15568641289359048, 0.03201568423814717, -0.014428614505699702, 8.91430259105705e-05, -0.10065188619773835, -0.39502393849016654, 0.5412667316961146, -0.07225739782942193, 0.2811298305168748, 0.19234313035295122, 0.11936261602455661, 0.07632484116281073, -0.031480780337005854, -0.01462793083018845, -0.18252329390850805, 0.1937753841325286, 0.2801089461538054, 0.07202483683691493, 0.16409501477721192, -0.3662736107196127, -0.16861709134675384, 0.13882268251507499, 0.08458962459034021, -0.024005415749603083, -3.155127688798876e-05, -0.25764788217133, 0.06728927617604356, -0.10036218578794173, -0.16807717070471317, -0.13958598736540548, 0.06307605541605014, -0.044462485948488825, -0.18867101861784855, -0.04185797832906246, 0.08098995233220714, 0.13583275090370858, -0.18226184429866926, -0.07924773994212349, -0.052027596648605096, 0.02427569543942809, 0.07120300043329951, 0.03065352029876695, 0.05172825056970829, -0.15998015765632903, -0.18956166280189618, 0.3566823338291475, -0.053898878705998264, -0.23652438766189984, 0.1309092279656657, -0.076623896014921, -0.17250589343408743, 0.015024807215446518, 0.1423076308288035, 0.21796366794504657, 0.09037418213362496, 0.18192476040816732, -0.1920821189747325, 0.11517153899850589, 0.18649410633813768, -0.006127024823356243, 0.21446809986428844, 0.13768345616491778, 0.02848140447444859, 0.14106317589591658, 0.021421777921551394, -0.07956624110894543, -0.3823640667611644, -0.254550912328774, -0.05033055490015873, 0.18216751808566706, -0.10397708616662948, -0.14153554761183582, 0.35262298495286987, 0.038348464284180886, 0.2494618779137021, 0.14130083719889322, 0.19309677179193213, -0.026988295845166294, -0.003096196135239942, 0.011334157393624386, 0.1700071134172114, 0.26783147463685875, -0.016020312971834625, -0.09576910000205749, -0.04577881489170804, 0.3094405657279172] |
710.0639 | Dirac geometry, quasi-Poisson actions and D/G-valued moment maps | We study Dirac structures associated with Manin pairs (\d,\g) and give a
Dirac geometric approach to Hamiltonian spaces with D/G-valued moment maps,
originally introduced by Alekseev and Kosmann-Schwarzbach in terms of
quasi-Poisson structures. We explain how these two distinct frameworks are
related to each other, proving that they lead to isomorphic categories of
Hamiltonian spaces. We stress the connection between the viewpoint of Dirac
geometry and equivariant differential forms. The paper discusses various
examples, including q-Hamiltonian spaces and Poisson-Lie group actions,
explaining how presymplectic groupoids are related to the notion of "double" in
each context.
| math.DG math.SG | we study dirac structures associated with manin pairs dg and give a dirac geometric approach to hamiltonian spaces with dgvalued moment maps originally introduced by alekseev and kosmannschwarzbach in terms of quasipoisson structures we explain how these two distinct frameworks are related to each other proving that they lead to isomorphic categories of hamiltonian spaces we stress the connection between the viewpoint of dirac geometry and equivariant differential forms the paper discusses various examples including qhamiltonian spaces and poissonlie group actions explaining how presymplectic groupoids are related to the notion of double in each context | [['we', 'study', 'dirac', 'structures', 'associated', 'with', 'manin', 'pairs', 'dg', 'and', 'give', 'a', 'dirac', 'geometric', 'approach', 'to', 'hamiltonian', 'spaces', 'with', 'dgvalued', 'moment', 'maps', 'originally', 'introduced', 'by', 'alekseev', 'and', 'kosmannschwarzbach', 'in', 'terms', 'of', 'quasipoisson', 'structures', 'we', 'explain', 'how', 'these', 'two', 'distinct', 'frameworks', 'are', 'related', 'to', 'each', 'other', 'proving', 'that', 'they', 'lead', 'to', 'isomorphic', 'categories', 'of', 'hamiltonian', 'spaces', 'we', 'stress', 'the', 'connection', 'between', 'the', 'viewpoint', 'of', 'dirac', 'geometry', 'and', 'equivariant', 'differential', 'forms', 'the', 'paper', 'discusses', 'various', 'examples', 'including', 'qhamiltonian', 'spaces', 'and', 'poissonlie', 'group', 'actions', 'explaining', 'how', 'presymplectic', 'groupoids', 'are', 'related', 'to', 'the', 'notion', 'of', 'double', 'in', 'each', 'context']] | [-0.15206545111673173, 0.0871360531397244, -0.06190126018738875, 0.13783748595417047, -0.1317015483234358, -0.1295782137231561, -0.04451204578064242, 0.3846428514087713, -0.35023450490928465, -0.2938766306947156, 0.050125550213319964, -0.2534967659101371, -0.26468508604974034, 0.1634167962337053, -0.17561427265485768, -0.023950790580842766, 0.035919982822291474, 0.03694794140505775, -0.15453472136524857, -0.2545474707308571, 0.48605894701935914, -0.005049605303073442, 0.24385512478008706, 0.009067386224795814, 0.09636606388194587, -0.018893737846644977, -0.04471205068271487, 0.024628202631188336, -0.1494262709050916, 0.18609907310856608, 0.29379125366047504, 0.03389152788346814, 0.16857695728865882, -0.39588206998443093, -0.13032345581419205, 0.11671612876909754, 0.0862867163659464, 0.0285535355208702, -0.021660296478301228, -0.3466429216887361, 0.06805780156445439, -0.17233540966445882, -0.11418464773344578, -0.14378292590219488, -0.005319166728245315, 0.013358385209494861, -0.15882594349683934, -0.009870178046165615, 0.08551688012116218, 0.05223595440107327, -0.0993437358073049, -0.07711019007469057, -0.07833921762498756, 0.09340530033573828, 0.04098138769948354, -0.022019161014086616, 0.09229056523381783, -0.057113536933977756, -0.2158368901670059, 0.4093642313914594, -0.003421567876132265, -0.25327909467441423, 0.18640541040428704, -0.11847791765686325, -0.19440959930740376, 0.0678339001412193, 0.10144590215897688, 0.1029568619635557, -0.10588687272762419, 0.13604050143421578, -0.053919010550304444, -0.0042424872429961315, 0.10645100727717402, 0.03887188143687703, 0.17032191040174616, 0.07078570506024745, 0.05837180365317611, 0.10390331181609923, 0.005134016935718596, -0.13808867920462983, -0.3225487078269643, -0.19447158077251045, -0.048208488822383905, 0.07063347768158681, -0.06667965833255421, -0.17353047316853878, 0.41990723905544125, 0.11886359320613005, 0.22046864076807934, 0.044572716676479864, 0.184520841463499, 0.0870910001898645, 0.04617058293473336, 0.017757986176518664, 0.14342106472680805, 0.28765840529243875, 0.028595506403875606, -0.1402934733177385, -0.04728457013205174, 0.2126613976333731] |
710.064 | The Toda system and multiple-end solutions of autonomous planar elliptic
problems | We construct a new class of positive solutions for a classical semilinear
elliptic problem in the plane which arise for instance as the standing-wave
problem for the standard nonlinear Schr\"odinger equation or in nonlinear
models in Turing's theory biological theory of pattern formation such as the
Gray-Scott or Gierer-Meinhardt systems. The solutions we construct have the
property that their energy over a ball of radius R grows linearly with R as R
tends to infinity. These solutions are strongly related to the solutions of a
Toda system.
| math.AP | we construct a new class of positive solutions for a classical semilinear elliptic problem in the plane which arise for instance as the standingwave problem for the standard nonlinear schrodinger equation or in nonlinear models in turings theory biological theory of pattern formation such as the grayscott or gierermeinhardt systems the solutions we construct have the property that their energy over a ball of radius r grows linearly with r as r tends to infinity these solutions are strongly related to the solutions of a toda system | [['we', 'construct', 'a', 'new', 'class', 'of', 'positive', 'solutions', 'for', 'a', 'classical', 'semilinear', 'elliptic', 'problem', 'in', 'the', 'plane', 'which', 'arise', 'for', 'instance', 'as', 'the', 'standingwave', 'problem', 'for', 'the', 'standard', 'nonlinear', 'schrodinger', 'equation', 'or', 'in', 'nonlinear', 'models', 'in', 'turings', 'theory', 'biological', 'theory', 'of', 'pattern', 'formation', 'such', 'as', 'the', 'grayscott', 'or', 'gierermeinhardt', 'systems', 'the', 'solutions', 'we', 'construct', 'have', 'the', 'property', 'that', 'their', 'energy', 'over', 'a', 'ball', 'of', 'radius', 'r', 'grows', 'linearly', 'with', 'r', 'as', 'r', 'tends', 'to', 'infinity', 'these', 'solutions', 'are', 'strongly', 'related', 'to', 'the', 'solutions', 'of', 'a', 'toda', 'system']] | [-0.13464302114938953, 0.061551406851102566, -0.04742550924313308, 0.05886578815186332, -0.071365629499457, -0.17336041104562325, -0.05991235359614694, 0.26817079909659663, -0.34286801234401504, -0.22756191594097977, 0.14472247002614214, -0.3316837745162005, -0.16656940324959912, 0.20502771849840365, -0.029483476359311533, 0.1066750473631867, 0.03434254442095414, 0.068783719935615, -0.0554821116885909, -0.2111350513282821, 0.3551929661169134, -0.04136246777856829, 0.20292817178214417, 0.0011182045135861155, 0.08324621899666307, -0.023975322039091383, 0.04678778832607057, 0.040695048354823016, -0.17739491320749404, 0.09125162592296884, 0.26236947893685075, 0.1256058860902043, 0.3053372081385219, -0.4079870815099827, -0.25335268093936747, 0.1262308393401661, 0.17225396187290892, 0.1288814140395422, -0.04567010166530294, -0.2287126149896575, 0.09677554118907315, -0.15010859244021363, -0.23018119005679055, -0.011083936452565864, 0.04526730997477198, 0.10324058178598168, -0.2731327087158102, 0.09438513163156037, 0.08548330523651736, 0.018753537723537664, -0.11983120349910238, -0.06255290092466849, -0.013713665665180862, 0.04441075671421385, 0.058528886899223614, 0.034831194291373005, 0.04350693037348061, -0.15005515856218749, -0.11686726954588987, 0.39726816588777236, -0.09692174137098951, -0.2789007965475321, 0.19760872049514075, -0.09647021344167063, -0.09513765166181772, 0.09009152901326788, 0.20915261092970425, 0.18501125074034536, -0.07895229876726523, 0.1563088387523874, -0.07923261516582991, 0.1570080908299049, 0.08759881209731958, 0.023225053829066027, 0.18636457690562325, 0.12560585884099035, 0.11209098696869252, 0.13937212145705333, 0.012995703820267627, -0.13569160778310962, -0.30317947100553577, -0.12778268544667068, -0.11083252508134378, 0.1037144401463969, -0.1045047002951561, -0.24698702969599043, 0.3827555893395824, 0.0834635962891371, 0.17662268067742215, 0.07969409767832693, 0.1752911456700029, 0.17475566796385736, 0.035993874717996206, 0.03113687256934528, 0.17344310474528493, 0.1354400876952314, 0.14646275504626033, -0.23311214676747719, -0.031077495797526562, 0.1382326376945551] |
710.0641 | Random Diffusion Model | We study here the random diffusion model. This is a continuum model for a
conserved scalar density field $\phi$ driven by diffusive dynamics. The
interesting feature of the dynamics is that the {\it bare} diffusion
coefficient $D$ is density dependent. In the simplest case
$D=\bar{D}+D_{1}\delta \phi $ where $\bar{D}$ is the constant average diffusion
constant. In the case where the driving effective Hamiltonian is quadratic the
model can be treated using perturbation theory in terms of the single nonlinear
coupling $D_{1}$. We develop perturbation theory to fourth order in $D_{1}$.
The are two ways of analyzing this perturbation theory. In one approach,
developed by Kawasaki, at one-loop order one finds mode coupling theory with an
ergodic-nonergodic transition. An alternative more direct interpretation at
one-loop order leads to a slowing down as the nonlinear coupling increases.
Eventually one hits a critical coupling where the time decay becomes algebraic.
Near this critical coupling a weak peak develops at a wavenumber well above the
peak at $q=0$ associated with the conservation law. The width of this peak in
Fourier space decreases with time and can be identified with a characteristic
kinetic length which grows with a power law in time. For stronger coupling the
system becomes metastable and then unstable. At two-loop order it is shown that
the ergodic-nonergodic transition is not supported. It is demonstrated that the
{\it critical} properties of the direct approach survive going to higher order
in perturbation theory.
| cond-mat.soft | we study here the random diffusion model this is a continuum model for a conserved scalar density field phi driven by diffusive dynamics the interesting feature of the dynamics is that the it bare diffusion coefficient d is density dependent in the simplest case dbardd_1delta phi where bard is the constant average diffusion constant in the case where the driving effective hamiltonian is quadratic the model can be treated using perturbation theory in terms of the single nonlinear coupling d_1 we develop perturbation theory to fourth order in d_1 the are two ways of analyzing this perturbation theory in one approach developed by kawasaki at oneloop order one finds mode coupling theory with an ergodicnonergodic transition an alternative more direct interpretation at oneloop order leads to a slowing down as the nonlinear coupling increases eventually one hits a critical coupling where the time decay becomes algebraic near this critical coupling a weak peak develops at a wavenumber well above the peak at q0 associated with the conservation law the width of this peak in fourier space decreases with time and can be identified with a characteristic kinetic length which grows with a power law in time for stronger coupling the system becomes metastable and then unstable at twoloop order it is shown that the ergodicnonergodic transition is not supported it is demonstrated that the it critical properties of the direct approach survive going to higher order in perturbation theory | [['we', 'study', 'here', 'the', 'random', 'diffusion', 'model', 'this', 'is', 'a', 'continuum', 'model', 'for', 'a', 'conserved', 'scalar', 'density', 'field', 'phi', 'driven', 'by', 'diffusive', 'dynamics', 'the', 'interesting', 'feature', 'of', 'the', 'dynamics', 'is', 'that', 'the', 'it', 'bare', 'diffusion', 'coefficient', 'd', 'is', 'density', 'dependent', 'in', 'the', 'simplest', 'case', 'dbardd_1delta', 'phi', 'where', 'bard', 'is', 'the', 'constant', 'average', 'diffusion', 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710.0642 | Appendix to 'Roth's theorem on progressions revisited' by J Bourgain | We show two results. First, a refinement of Freiman's theorem: if A is a
finite set of integers and |A+A| < K|A|, then A is contained in a
multidimensional progression of dimension at most O(K^{7/4} log^3K) and size at
most exp(O(K^{7/4} log^3K))|A|. Secondly, an improvement of a result of
Konyagin and Laba: if A is a finite set of reals and a is a transcendental then
|A+aA| >> |A|(log |A|)^{4/3-\epsilon} for all \epsilon>0.
| math.CA math.NT | we show two results first a refinement of freimans theorem if a is a finite set of integers and aa ka then a is contained in a multidimensional progression of dimension at most ok74 log3k and size at most expok74 log3ka secondly an improvement of a result of konyagin and laba if a is a finite set of reals and a is a transcendental then aaa alog a43epsilon for all epsilon0 | [['we', 'show', 'two', 'results', 'first', 'a', 'refinement', 'of', 'freimans', 'theorem', 'if', 'a', 'is', 'a', 'finite', 'set', 'of', 'integers', 'and', 'aa', 'ka', 'then', 'a', 'is', 'contained', 'in', 'a', 'multidimensional', 'progression', 'of', 'dimension', 'at', 'most', 'ok74', 'log3k', 'and', 'size', 'at', 'most', 'expok74', 'log3ka', 'secondly', 'an', 'improvement', 'of', 'a', 'result', 'of', 'konyagin', 'and', 'laba', 'if', 'a', 'is', 'a', 'finite', 'set', 'of', 'reals', 'and', 'a', 'is', 'a', 'transcendental', 'then', 'aaa', 'alog', 'a43epsilon', 'for', 'all', 'epsilon0']] | [-0.1441557017634764, 0.09593957415486468, -0.09831262690325578, 0.03470294475978748, -0.026684334882619707, -0.0960337704499111, 0.06151108459259073, 0.30699407445464394, -0.2752478733891621, -0.1599671635000656, 0.12779639637147105, -0.31399756622020947, -0.11259704197150175, 0.2333073111138109, -0.06201722591438077, -0.016491520567797124, 0.061563497804331055, 0.07799758489779902, -0.04373788858312323, -0.3006576326972043, 0.3139720806167602, -0.08408317620386228, 0.15528185730517813, 0.11998928108986354, 0.12502761751018238, -0.01114875069734725, 0.007599869404326786, 0.09704236641074672, -0.1297392911051936, 0.10109605281754877, 0.2567233325574886, 0.15855674733316075, 0.37638636706679157, -0.3026491507718509, -0.14644146172301561, 0.14212606359752966, 0.12093402953310446, 0.08745857875681284, -0.02364817044740035, -0.1559875114912619, 0.23280724060234867, -0.15098861115279072, -0.12137263184977752, 0.009604146344248544, 0.11426464349708775, 0.0032374192184458175, -0.37970292746004736, -0.01455701958162315, 0.13922258980120672, 0.1338024030044449, -0.03814612618633405, -0.09985462537345786, 0.0009105469622282368, 0.0578042529223515, -0.048940245301998926, 0.09463196053085002, 0.006126662271774628, -0.0901942082370321, -0.13275301584155497, 0.387036004294218, -0.07843620082448152, -0.18094064807519317, 0.1380823232078304, -0.1448686345847267, -0.1634709188771067, 0.13613958356224679, 0.08413130603730679, 0.14974543119244504, -0.06873104786218116, 0.15051760936198247, -0.15367388980688923, 0.22707158894362775, 0.12955619245203157, -0.023161912082948467, 0.11091846235230508, 0.159971884190754, 0.09515663851616961, 0.11442119480378812, -0.04625072578589121, 0.04008853089798129, -0.38140417025847867, -0.20182845061362692, -0.21291990411136244, 0.09564618882017606, -0.11281965803407895, -0.20341052766889334, 0.3701935980017438, 0.07304992442809496, 0.2143984887692513, 0.1094929059036076, 0.24137539382685314, 0.06820242824147554, 0.010822986732378151, 0.09728266037718365, 0.07472541231916031, 0.1362139790417683, -0.02299284052357755, -0.1159595047180174, 0.019677592159220665, 0.15149435492683994] |
710.0643 | Chern character for twisted complexes | We construct a Chern character of a perfect complex of twisted modules over
an algebroid stack.
| math.KT | we construct a chern character of a perfect complex of twisted modules over an algebroid stack | [['we', 'construct', 'a', 'chern', 'character', 'of', 'a', 'perfect', 'complex', 'of', 'twisted', 'modules', 'over', 'an', 'algebroid', 'stack']] | [-0.3665453948196955, 0.014918346693775675, -0.07353638974018395, 0.039719678374240175, -0.16441000811755657, -0.13120178080862388, -0.023582065827213228, 0.43530779844149947, -0.39099133817944676, -0.1616085934219882, -0.005061806965386495, -0.13981296005658805, -0.22019072745752055, 0.20440678391605616, -0.1566840591840446, -0.10217734426259995, 0.08171520126052201, 0.08064619934884831, -0.16159854319994338, -0.29908411065116525, 0.5048443959094584, 0.005177609156817198, 0.2696257521165535, -0.017399732721969485, 0.21164137963205576, 0.034351906506344676, 0.08456984272925183, -0.01896816643420607, -0.1324841488385573, 0.1762185008265078, 0.3341313081327826, -0.10959784570150077, 0.10486570157809183, -0.37600758858025074, -0.11769653717055917, 0.10264480952173471, 0.033608398865908384, 0.030502120265737176, 0.046889163088053465, -0.24901243345811963, 0.17709158605430275, -0.36565291648730636, -0.10930489780730568, -0.08385465410538018, 0.044511878048069775, -0.03684328589588404, -0.20212440332397819, -0.1338466876768507, 0.030369607266038656, 0.22098388889571652, -0.1344580341828987, 0.0033364661503583193, -0.12850043905200437, 0.06641479668905959, -0.1616032855818048, -0.04949663777370006, 0.061361101135844365, -0.21984633011743426, -0.20507058640941978, 0.3272757219383493, -0.13528334948932752, -0.23263996955938637, 0.056927540339529514, -0.00816134992055595, -0.07805617403937504, 0.2174868923611939, 0.02896611567120999, 0.1968371063703671, 0.10585111053660512, 0.14023825945332646, -0.21356921055121347, 0.1526636560447514, 0.062441398040391505, -0.03139664145419374, 0.2679599313996732, 0.13802871759980917, 0.05162147362716496, 0.15681774239055812, 0.0044796761649195105, -0.02689437963999808, -0.3379222471266985, -0.41252658190205693, -0.07586335466476157, 0.2530914742965251, -0.03816011734306812, -0.33315972285345197, 0.574407902546227, 0.03992173512233421, 0.2780172706115991, 0.10410986474016681, 0.1894830702804029, 0.05873237852938473, 0.09561107645276934, 0.0010189965832978487, 0.06806640949798748, 0.2598157334141433, -0.016101528461149428, 0.0025818669237196445, -0.15864753734786063, 0.14786140760406852] |
710.0644 | Difference sets and the primes | Suppose that A is a subset of {1,...,N} such that the difference between any
two elements of A is never one less than a prime. We show that |A| = O(N
exp(-c(log N)^{1/4})) for some absolute c>0.
| math.CA math.NT | suppose that a is a subset of 1n such that the difference between any two elements of a is never one less than a prime we show that a on expclog n14 for some absolute c0 | [['suppose', 'that', 'a', 'is', 'a', 'subset', 'of', '1n', 'such', 'that', 'the', 'difference', 'between', 'any', 'two', 'elements', 'of', 'a', 'is', 'never', 'one', 'less', 'than', 'a', 'prime', 'we', 'show', 'that', 'a', 'on', 'expclog', 'n14', 'for', 'some', 'absolute', 'c0']] | [-0.1594048242485668, 0.14218721717285612, -0.10255074785608384, 0.06728218819221689, -0.006776685554844637, -0.1291021132815836, 0.056104558183708124, 0.3789582600713604, -0.21785283738022876, -0.1963130271113995, 0.10185545133168085, -0.3686827054868142, -0.1281907255243924, 0.2339437250047922, -0.03737566481706583, -0.07516223915930216, 0.043477827269170016, 0.17183708171877596, -0.07037729202420451, -0.22543830251217717, 0.3325875811020119, -0.10824795921022694, 0.14092000524720383, 0.02297761311961545, 0.12161791540630576, -0.08222589247290873, 0.07883568603493687, 0.0682993196727087, -0.10358423071880275, 0.10386637230921122, 0.18403138960194257, 0.11429591716215429, 0.37044765924413997, -0.3226938954968419, -0.17976405011076066, 0.2317827878675113, 0.13565210695378482, 0.06260690289006259, -0.06550501148901983, -0.1231496187651323, 0.21450902410368952, -0.15667435940768984, -0.10267327862998678, -0.015170746068987582, 0.12867596517834398, 0.01286276388499472, -0.33271755350546706, -0.04073617700487375, 0.10289370246593738, 0.07885716701599045, 0.023541070106956694, -0.1683994276293864, 0.030930483455045357, 0.08399779913533065, -0.0009054744538540641, 0.09334261421786828, 0.03531549667887804, -0.11294305861358428, -0.07918285242178374, 0.40140667868157226, -0.0874850539342636, -0.22626455661116374, 0.13802689420602596, -0.19492796767089102, -0.15812469066845047, 0.09349960220667224, 0.039446038737272225, 0.1463834392424259, -0.05974329273319907, 0.07112517538997862, -0.10409839052913918, 0.2568772653531697, 0.08000368345528841, 0.023024235502816737, 0.11637224081075853, 0.12605526086149943, 0.14932952606533137, 0.045556434831168086, -0.036265184734171875, 0.011395166058921151, -0.4027192464305295, -0.22930992032504743, -0.23989593119929647, 0.12604600423946977, -0.13457386960120252, -0.1591448069860538, 0.3177623769475354, 0.11485399668001467, 0.25773853260195917, 0.07941163116548625, 0.2645116480222593, 0.06489340402185917, 0.06907928879890177, 0.1270018310493065, 0.1821008641183855, 0.049060631129476756, -0.07399585127778766, -0.18839889477627972, 0.07679297557721536, 0.09117331514911105] |
710.0645 | Statistical analysis of Ni nanowires breaking processes: a numerical
simulation study | A statistical analysis of the breaking behavior of Ni nanowires is presented.
Using molecular dynamic simulations, we have determined the time evolution of
both the nanowire atomic structure and its minimum cross section (Sm(t)).
Accumulating thousands of independent breaking events, Sm histograms are built
and used to study the influence of the temperature, the crystalline stretching
direction and the initial nanowire size. The proportion of monomers, dimers and
more complex structures at the latest stages of the breaking process are
calculated, finding important differences among results obtained for different
nanowire orientations and sizes. Three main cases have been observed. (A) [111]
stretching direction and large nanowire sizes: the wire evolves from more
complex structures to monomers and dimers prior its rupture; well ordered
structures is presented during the breaking process. (B) Large nanowires
stretched along the [100] and [110] directions: the system mainly breaks from
complex structures (low probability of finding monomers and dimers), having
disordered regions during their breakage; at room temperature, a huge histogram
peak around Sm=5 appears, showing the presence of long staggered pentagonal Ni
wires with ...-5-1-5-... structure. (C) Initial wire size is small: strong size
effects independently on the temperature and stretching direction. Finally, the
local structure around monomers and dimmers do not depend on the stretching
direction. These configurations differ from those usually chosen in static
studies of conductance.
| cond-mat.mes-hall cond-mat.mtrl-sci | a statistical analysis of the breaking behavior of ni nanowires is presented using molecular dynamic simulations we have determined the time evolution of both the nanowire atomic structure and its minimum cross section smt accumulating thousands of independent breaking events sm histograms are built and used to study the influence of the temperature the crystalline stretching direction and the initial nanowire size the proportion of monomers dimers and more complex structures at the latest stages of the breaking process are calculated finding important differences among results obtained for different nanowire orientations and sizes three main cases have been observed a 111 stretching direction and large nanowire sizes the wire evolves from more complex structures to monomers and dimers prior its rupture well ordered structures is presented during the breaking process b large nanowires stretched along the 100 and 110 directions the system mainly breaks from complex structures low probability of finding monomers and dimers having disordered regions during their breakage at room temperature a huge histogram peak around sm5 appears showing the presence of long staggered pentagonal ni wires with 515 structure c initial wire size is small strong size effects independently on the temperature and stretching direction finally the local structure around monomers and dimmers do not depend on the stretching direction these configurations differ from those usually chosen in static studies of conductance | [['a', 'statistical', 'analysis', 'of', 'the', 'breaking', 'behavior', 'of', 'ni', 'nanowires', 'is', 'presented', 'using', 'molecular', 'dynamic', 'simulations', 'we', 'have', 'determined', 'the', 'time', 'evolution', 'of', 'both', 'the', 'nanowire', 'atomic', 'structure', 'and', 'its', 'minimum', 'cross', 'section', 'smt', 'accumulating', 'thousands', 'of', 'independent', 'breaking', 'events', 'sm', 'histograms', 'are', 'built', 'and', 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710.0646 | B_s and B_d mixing in full lattice QCD using NRQCD b quarks | We give a progress report on studies of B_s and B_d mixing with valence NRQCD
b quarks and asqtad light quarks on the MILC configurations including the
effect of 2+1 flavours of sea quarks. We explore methods for reducing
statistical and systematic errors in the ratio \xi =
f_{B_s}\sqrt{B_{B_s}}/f_{B_d}\sqrt{B_{B_d}}.
| hep-lat | we give a progress report on studies of b_s and b_d mixing with valence nrqcd b quarks and asqtad light quarks on the milc configurations including the effect of 21 flavours of sea quarks we explore methods for reducing statistical and systematic errors in the ratio xi f_b_ssqrtb_b_sf_b_dsqrtb_b_d | [['we', 'give', 'a', 'progress', 'report', 'on', 'studies', 'of', 'b_s', 'and', 'b_d', 'mixing', 'with', 'valence', 'nrqcd', 'b', 'quarks', 'and', 'asqtad', 'light', 'quarks', 'on', 'the', 'milc', 'configurations', 'including', 'the', 'effect', 'of', '21', 'flavours', 'of', 'sea', 'quarks', 'we', 'explore', 'methods', 'for', 'reducing', 'statistical', 'and', 'systematic', 'errors', 'in', 'the', 'ratio', 'xi', 'f_b_ssqrtb_b_sf_b_dsqrtb_b_d']] | [-0.0676926461722147, 0.3749378610877915, -0.06650624261733065, 0.07399606712638064, 0.032607868908250584, -0.0799920286368975, 0.20987780075123968, 0.3827642050591555, -0.08432801133219867, -0.2456984411370247, -0.0019873510971863536, -0.35479135335759915, 0.016891545883597845, 0.0779390866927644, 0.004453889371708352, 0.1366207689799844, 0.19935256341828944, -0.0990568281825077, -0.17664742701627473, -0.25736339002144226, 0.306911831959448, -0.07896197083941166, 0.21187557454438918, 0.23262466014699734, -0.007765783031689043, -0.0063082424903962205, -0.16710092749525893, -0.08879199413770929, -0.11602819307727065, 0.06534012870744188, 0.05570597633560921, 0.03829857110580866, 0.11671254688754995, -0.3608219137098244, -0.14143827782468277, 0.06849324927130278, 0.10434782070087943, 0.1002333569241331, 0.005176969620577516, -0.331327442793136, 0.05871911416266193, -0.15360884013724455, -0.10583879307229468, -0.1387218894991786, 0.01970961475942997, -0.09658241269991119, -0.37627650973723925, 0.034241125780217194, -0.05159722833319547, 0.1854064605852708, 0.08665250244728745, -0.3674751400868309, 0.014059919626154799, 0.06653975298073381, 0.14998053873274872, 0.1118312645802631, 0.11266264087579986, -0.13997293883894987, -0.19684156616951556, 0.5167076839728558, -0.11560152433416311, -0.21973058615533753, 0.14048274756072365, -0.19207348191040627, -0.1749721140541295, 0.028634627805428303, 0.3277572630012923, 0.07882523975592662, -0.13576378148207638, 0.13174916712314563, -0.04940302638297386, 0.20569741113626577, 0.08046286677981311, 0.07876575868229996, 0.2295968031629603, 0.21785937078257508, -0.029780236488961158, 0.046120688160683244, -0.09056661356280142, -0.08089765464451085, -0.2903331127414044, -0.08652208389793621, -0.03124285455386927, 0.08868492705787116, -0.10885651378819293, -0.125006167094243, 0.4401166229806048, 0.1405652887286975, 0.15766386178500474, -0.009965781667368842, 0.2781412657350302, -0.002744672602002925, 0.0325711450423114, 0.09602511860925625, 0.2916126930888029, 0.21594151002453996, 0.13906662895324381, -0.3728771311666896, -0.10981643567495841, 0.1195098380360039] |
710.0647 | Absorption spectrum of the quasar HS1603+3820 I. Observations and data
analysis | We present the analysis of multi-wavelength observations of bright quasar
HS1603+3820: the optical data taken with the MMT and Keck telescopes, and X-ray
data obtained with the Chandra X-ray Observatory. The optical spectra contain a
very large number of absorption lines from numerous heavy elements. We derived
X-ray properties of HS1603. The quasar has the optical-to-X-ray slope index
alpha_ox of 1.70, which is on the high end of the typical range for radio quiet
QSOs. We found 49 individual heavy element absorption clouds, which can be
grouped into eleven distinct systems. We determined column densities and
redshifts of the individual components. Absorbers from the associated system
which is likely spatially closest to the QSO show large CIV to HI column
density ratio, reaching ca.20.
| astro-ph | we present the analysis of multiwavelength observations of bright quasar hs16033820 the optical data taken with the mmt and keck telescopes and xray data obtained with the chandra xray observatory the optical spectra contain a very large number of absorption lines from numerous heavy elements we derived xray properties of hs1603 the quasar has the opticaltoxray slope index alpha_ox of 170 which is on the high end of the typical range for radio quiet qsos we found 49 individual heavy element absorption clouds which can be grouped into eleven distinct systems we determined column densities and redshifts of the individual components absorbers from the associated system which is likely spatially closest to the qso show large civ to hi column density ratio reaching ca20 | [['we', 'present', 'the', 'analysis', 'of', 'multiwavelength', 'observations', 'of', 'bright', 'quasar', 'hs16033820', 'the', 'optical', 'data', 'taken', 'with', 'the', 'mmt', 'and', 'keck', 'telescopes', 'and', 'xray', 'data', 'obtained', 'with', 'the', 'chandra', 'xray', 'observatory', 'the', 'optical', 'spectra', 'contain', 'a', 'very', 'large', 'number', 'of', 'absorption', 'lines', 'from', 'numerous', 'heavy', 'elements', 'we', 'derived', 'xray', 'properties', 'of', 'hs1603', 'the', 'quasar', 'has', 'the', 'opticaltoxray', 'slope', 'index', 'alpha_ox', 'of', '170', 'which', 'is', 'on', 'the', 'high', 'end', 'of', 'the', 'typical', 'range', 'for', 'radio', 'quiet', 'qsos', 'we', 'found', '49', 'individual', 'heavy', 'element', 'absorption', 'clouds', 'which', 'can', 'be', 'grouped', 'into', 'eleven', 'distinct', 'systems', 'we', 'determined', 'column', 'densities', 'and', 'redshifts', 'of', 'the', 'individual', 'components', 'absorbers', 'from', 'the', 'associated', 'system', 'which', 'is', 'likely', 'spatially', 'closest', 'to', 'the', 'qso', 'show', 'large', 'civ', 'to', 'hi', 'column', 'density', 'ratio', 'reaching', 'ca20']] | [-0.06069940182792603, 0.09886507940722904, -0.02780977729326267, 0.050645276745704966, -0.08360885621094313, -0.10088522590651008, 0.04164768720893037, 0.49754614789099966, -0.14945013838682752, -0.35679672066061224, 0.07324278095859241, -0.3748957791029796, 0.003044036518568631, 0.18110322401921844, 0.019163702782548843, 0.003015244936906412, 0.04845781997800423, -0.13311075787708834, -0.012424611139157023, -0.24067191170436925, 0.29210870054581006, 0.07570161690485099, 0.22392549384079996, -0.03873093059042194, 0.115260491555091, -0.07328158242486753, -0.11795357809417316, 0.029914575067852608, -0.08448632335534594, 0.10244286082471248, 0.2838611769657887, 0.14137534722762152, 0.18727490526517152, -0.30088033420262766, -0.19427886279299855, 0.06284906789965805, 0.17035628128491465, 0.008578558411395758, -0.027859755954896023, -0.29764385924476094, 0.05749996428255786, -0.16117912825658826, -0.17465433343618986, 0.08344690485658948, 0.017063974692928988, 0.07905937746915294, -0.2011670207482625, 0.08354418471905968, -0.09622331419730651, 0.1146155769219164, -0.14559106747872677, -0.11021857333396272, -0.08622091222310165, 0.07991993388916808, -0.0012607147695771494, -0.021007645016413976, 0.15198629088776155, -0.12722063454280255, 0.008144372593245058, 0.38957675175405426, -0.0775953142800689, 0.09600719614417223, 0.21286575181660677, -0.21414243859681684, -0.21770344653594323, 0.21623274805329618, 0.16850989387889745, 0.10929749734302768, -0.1169513880855358, -0.017488202314392555, -0.07566354883411044, 0.29130833984551124, 0.007748045721931047, 0.13238087205071247, 0.29165287514324073, 0.039181957986076044, 0.013017354858884125, 0.09950714357737375, -0.30023636996267045, 0.053567400297577505, -0.22222201192950006, -0.07219126861882166, -0.14753400038099526, 0.12653347315766741, -0.14827640832663747, -0.14633839052231584, 0.36306572618100363, 0.10785989456268058, 0.25317151962061885, 0.039849947967192496, 0.31834705085417286, 0.1476082096761856, 0.09485199855884811, 0.07756462725085496, 0.3224958508985392, 0.1662295804832314, 0.12226422839859104, -0.20256270289222603, 0.023760436415733374, 0.02093299570279654] |
710.0648 | Fragmenting D4 branes and coupled q-deformed Yang Mills | We compute the index of BPS states for two stacks of D4-branes wrapped on
ample divisors and overlapping over a compact Riemann surface inside
non-compact Calabi-Yau 3-fold. This index is given in terms of U(N) x U(M)
q-deformed Yang Mills theory with bifundamental matter. From the factorization
in the limit of large D4 charge, we argue that our result computes the jump in
the index of BPS states across the wall of the marginal stability for the split
flow of a D4 brane fragmenting into a pair of D4 branes.
| hep-th | we compute the index of bps states for two stacks of d4branes wrapped on ample divisors and overlapping over a compact riemann surface inside noncompact calabiyau 3fold this index is given in terms of un x um qdeformed yang mills theory with bifundamental matter from the factorization in the limit of large d4 charge we argue that our result computes the jump in the index of bps states across the wall of the marginal stability for the split flow of a d4 brane fragmenting into a pair of d4 branes | [['we', 'compute', 'the', 'index', 'of', 'bps', 'states', 'for', 'two', 'stacks', 'of', 'd4branes', 'wrapped', 'on', 'ample', 'divisors', 'and', 'overlapping', 'over', 'a', 'compact', 'riemann', 'surface', 'inside', 'noncompact', 'calabiyau', '3fold', 'this', 'index', 'is', 'given', 'in', 'terms', 'of', 'un', 'x', 'um', 'qdeformed', 'yang', 'mills', 'theory', 'with', 'bifundamental', 'matter', 'from', 'the', 'factorization', 'in', 'the', 'limit', 'of', 'large', 'd4', 'charge', 'we', 'argue', 'that', 'our', 'result', 'computes', 'the', 'jump', 'in', 'the', 'index', 'of', 'bps', 'states', 'across', 'the', 'wall', 'of', 'the', 'marginal', 'stability', 'for', 'the', 'split', 'flow', 'of', 'a', 'd4', 'brane', 'fragmenting', 'into', 'a', 'pair', 'of', 'd4', 'branes']] | [-0.16102891063524616, 0.13394229443122943, -0.09049717168220216, 0.07628109039117893, -0.012784442991121775, -0.11709435061137709, 0.013621267336162014, 0.2888526788291832, -0.16127403467479678, -0.249776487911327, 0.06392470637543334, -0.2767227929085493, -0.10789161415563689, 0.0973608285913037, -0.10769786107767787, -0.011607399368464636, -0.03141724881198671, 0.039171727498372395, -0.08573591476047618, -0.29076839700444707, 0.38306881215733785, -0.0896379276075297, 0.3048950157335235, 0.08854207799045576, 0.10399410534236166, 0.01511257297048966, 0.008919726508773035, 0.007899393617279, -0.10613859524835587, 0.1768000162866277, 0.2661721347469009, 0.04318778520553476, 0.07117009537242767, -0.43998705802692306, -0.1720678855613288, 0.09864543226237098, 0.16600786022997152, 0.07973413703083577, 0.002897932405014419, -0.26423307640684973, 0.10454351676421034, -0.1862147119620608, -0.19145979621551104, -0.01701994870090857, 0.06988850807150206, -0.05210955175700494, -0.217116925958544, 0.05531029859169697, 0.0214138419005192, 0.0492923458520737, -0.052963775561915505, -0.09448585880195928, -0.18327377123706456, 0.05528462339296109, 0.07920996661349718, 0.04905990339919097, 0.12782960047221018, -0.2021259769357534, -0.12350971890716916, 0.28454869646165104, -0.10493187126186158, -0.22902248475390177, 0.10814091769150562, -0.14574813985058832, -0.16392903349155352, 0.14118975209486154, 0.11813790950303277, 0.217971426103678, -0.0035208232804305024, 0.22360355176949978, -0.10256756151922874, 0.15557881823430458, 0.14894504273284434, 0.004635130412255725, 0.27947962501396734, 0.12175185209812803, 0.05731415673184933, 0.1733599671162665, -0.0838700642886882, -0.1207884595160269, -0.4163816399044461, -0.21017175162624982, -0.12325399805170795, 0.15396574257045156, -0.18171647326073273, -0.2325859932642844, 0.38208530647162764, 0.00024381368421018125, 0.2035454629609982, 0.06595199880313077, 0.16434493134212164, 0.04749703467694215, 0.05414363723248243, 0.0894473575003859, 0.17192588033827227, 0.17072859804870355, 0.059067640617851996, -0.19620322152817002, -0.17724879326091872, 0.209912376695623] |
710.0649 | Exploring Partially Confined Phases | Phases of SU(N) gauge theories in which the global Z(N) symmetry breaks
spontaneously to a subgroup Z(L) can be realized by adding appropriate Wilson
line terms to the gauge action. These phases are partially confining, in the
sense that quarks are confined but bound states of L quarks are not. At
temperatures large compared to the normal deconfinement temperature, the phase
diagram, pressure, string tensions, and 't Hooft loop surface tensions can be
calculated analytically. Approximate scaling laws emerge naturally for both
string tensions and surface tensions.
| hep-lat | phases of sun gauge theories in which the global zn symmetry breaks spontaneously to a subgroup zl can be realized by adding appropriate wilson line terms to the gauge action these phases are partially confining in the sense that quarks are confined but bound states of l quarks are not at temperatures large compared to the normal deconfinement temperature the phase diagram pressure string tensions and t hooft loop surface tensions can be calculated analytically approximate scaling laws emerge naturally for both string tensions and surface tensions | [['phases', 'of', 'sun', 'gauge', 'theories', 'in', 'which', 'the', 'global', 'zn', 'symmetry', 'breaks', 'spontaneously', 'to', 'a', 'subgroup', 'zl', 'can', 'be', 'realized', 'by', 'adding', 'appropriate', 'wilson', 'line', 'terms', 'to', 'the', 'gauge', 'action', 'these', 'phases', 'are', 'partially', 'confining', 'in', 'the', 'sense', 'that', 'quarks', 'are', 'confined', 'but', 'bound', 'states', 'of', 'l', 'quarks', 'are', 'not', 'at', 'temperatures', 'large', 'compared', 'to', 'the', 'normal', 'deconfinement', 'temperature', 'the', 'phase', 'diagram', 'pressure', 'string', 'tensions', 'and', 't', 'hooft', 'loop', 'surface', 'tensions', 'can', 'be', 'calculated', 'analytically', 'approximate', 'scaling', 'laws', 'emerge', 'naturally', 'for', 'both', 'string', 'tensions', 'and', 'surface', 'tensions']] | [-0.1612825947519306, 0.35606074778512975, -0.08140334211261113, 0.1126158931774312, -0.05471183374609755, -0.19784491695998901, 0.09051354645066306, 0.3728339338444987, -0.23631038928896875, -0.29753715449665813, 0.07574383434090207, -0.2609420750737083, -0.06270661590428188, 0.05390119137263846, -0.019021725442645878, 0.020837864466546768, -0.04284911807064481, 0.000819373112466272, -0.1255813157694393, -0.2586417291527507, 0.26894438821265754, -0.044223033732081626, 0.29737331761025837, 0.10682026126111548, 0.008070454365391841, -0.11845406606771994, 0.04737466779248468, 0.07760787816268616, -0.08143327975334216, -0.006801843918169495, 0.2358822973870576, -0.03860804397912546, 0.005291485441741587, -0.43877062772068826, -0.24900870797780997, 0.10618104783539799, 0.19306238327608927, 0.11846312211328668, 0.01796302341738309, -0.30269125108767686, 0.042473610891992676, -0.12298007499983256, -0.1676220504390397, -0.11237816653353558, 0.00267297413799612, -0.09084231459171693, -0.2508430061808348, 0.09842147154936931, -0.015511008118675357, 0.06285510094964812, -0.02143215618481667, -0.10022836789788528, -0.13167022799687653, 0.09325471788045318, 0.13342250573819994, 0.11441402944425742, 0.1687396890988932, -0.17161781312268892, -0.07892855611260466, 0.39407290890812874, -0.07490164575691538, -0.17657367632478133, 0.18736895742215987, -0.15612609140961645, -0.1319450251490477, 0.15224246857257964, 0.08584577988983057, 0.07887386393080327, -0.12472365638134124, 0.20234765140901737, -0.009029310785405252, 0.11956796358639224, 0.1307064507252954, -0.007513152569232659, 0.32311168134255314, 0.043323374111151815, 0.013566133737478447, 0.07828925323375532, -0.0042905010471666425, -0.11945646615891621, -0.3834257798761814, -0.09522412040862309, -0.11750577552907768, 0.014332641700407137, -0.14132334035520186, -0.15319894650287327, 0.3132950224667445, 0.08868316824590766, 0.21213524885497045, 0.05153388979218515, 0.17537534971261162, 0.1092973177417599, 0.10760977059260182, 0.09886896132421948, 0.21737178099266757, 0.17422978815371062, 0.0664787083039938, -0.30899495226812773, -0.06661027260445829, 0.19726468178432907] |
710.065 | Off-center impurity in alkali halides: reorientation, electric
polarization and pairing to F center. II. In-plane rotation and
polarizability | Because of its inherent 2-D character, the eigenvalue equation for the
hindered rotation around a normal cation site of an off-center impurity
nearest-neighboring an F center is the well-known Mathieu equation. We present
an overview of literature data on Mathieu's periodic functions providing exact
solutions to the Li+ reorientational problem. We compare them with bottom-well
approximating solutions by harmonic-oscillator functions at an effective
vibrational frequency renormalized by both first- and third- order
electron-mode coupling. We finally discuss the in-plane inversion
polarizability of an off-center impurity assumed to form a dipole-dipole
coupling with a nearby F center.
| physics.chem-ph | because of its inherent 2d character the eigenvalue equation for the hindered rotation around a normal cation site of an offcenter impurity nearestneighboring an f center is the wellknown mathieu equation we present an overview of literature data on mathieus periodic functions providing exact solutions to the li reorientational problem we compare them with bottomwell approximating solutions by harmonicoscillator functions at an effective vibrational frequency renormalized by both first and third order electronmode coupling we finally discuss the inplane inversion polarizability of an offcenter impurity assumed to form a dipoledipole coupling with a nearby f center | [['because', 'of', 'its', 'inherent', '2d', 'character', 'the', 'eigenvalue', 'equation', 'for', 'the', 'hindered', 'rotation', 'around', 'a', 'normal', 'cation', 'site', 'of', 'an', 'offcenter', 'impurity', 'nearestneighboring', 'an', 'f', 'center', 'is', 'the', 'wellknown', 'mathieu', 'equation', 'we', 'present', 'an', 'overview', 'of', 'literature', 'data', 'on', 'mathieus', 'periodic', 'functions', 'providing', 'exact', 'solutions', 'to', 'the', 'li', 'reorientational', 'problem', 'we', 'compare', 'them', 'with', 'bottomwell', 'approximating', 'solutions', 'by', 'harmonicoscillator', 'functions', 'at', 'an', 'effective', 'vibrational', 'frequency', 'renormalized', 'by', 'both', 'first', 'and', 'third', 'order', 'electronmode', 'coupling', 'we', 'finally', 'discuss', 'the', 'inplane', 'inversion', 'polarizability', 'of', 'an', 'offcenter', 'impurity', 'assumed', 'to', 'form', 'a', 'dipoledipole', 'coupling', 'with', 'a', 'nearby', 'f', 'center']] | [-0.16959530178849636, 0.07925006299429745, 0.0026220623354770633, 0.042181106726638974, -0.07746516783770761, -0.1283525649164068, 0.04144647619441936, 0.3863865846866055, -0.283634371496737, -0.23863921920756662, 0.020244101591800387, -0.3245219760721451, -0.10435147834941745, 0.1368399211058491, 0.037603072211832594, 0.010515864425657415, 0.032014228337395347, 0.01767099871251144, -0.09374401687619914, -0.1809271159728891, 0.30595972791902326, 0.04753061078096691, 0.24398386401712502, 0.05682404497148175, 0.0714469001101526, 0.004123107995837927, 0.05603460905779349, -0.0537852334348779, -0.16384488993422372, 0.11096127531368677, 0.2043926037406843, -0.03599240904870002, 0.2769128968954503, -0.4362156852883728, -0.1267401041389492, 0.06668275700097806, 0.18295640547171627, 0.18717532924523478, -0.08969191608484835, -0.3148083765451845, -0.015371287157023815, -0.16680688156844362, -0.2491550068027879, -0.07029863465822449, 0.07659155465662479, 0.046668595296183696, -0.2683008218772317, 0.11536395109448533, 0.05309785130972925, 0.07219397029594371, -0.16286166645709033, -0.13837882914384336, -0.023835416118565357, 0.052218955642494715, 0.05451780091726074, 0.052016669266710155, 0.09528029512117715, -0.0912401125668303, -0.06372817605733871, 0.379668644707846, -0.08891125658073609, -0.18922506192404973, 0.15502516392642926, -0.11430971621486702, -0.06637918983439081, 0.12809678250433584, 0.10248400338214675, 0.10563388817796582, -0.1531326285355087, 0.11584935970052979, -0.011977258182473872, 0.16900269785209707, 0.07303977215564565, -0.019362847609935622, 0.18423552197943394, 0.09947938027816187, 0.0778864836271264, 0.1544278805781352, -0.08484193473398735, -0.07803978673182428, -0.25788993172126967, -0.11532121856917481, -0.22288865231859842, 0.06603731917903612, -0.10925321226103207, -0.19359372555719395, 0.3887580369917774, 0.07389121594544697, 0.1772123778655537, -0.009975466700760941, 0.2357302951332378, 0.18095771780384606, 0.020958815157217415, 0.05778060110016285, 0.22870392190096409, 0.18109198117775743, 0.06440053122412218, -0.31549016329901, 0.015423323758142558, 0.1021352012494677] |
710.0651 | Quantum Margulis expanders | We present a simple way to quantize the well-known Margulis expander map. The
result is a quantum expander which acts on discrete Wigner functions in the
same way the classical Margulis expander acts on probability distributions. The
quantum version shares all essential properties of the classical counterpart,
e.g., it has the same degree and spectrum. Unlike previous constructions of
quantum expanders, our method does not rely on non-Abelian harmonic analysis.
Analogues for continuous variable systems are mentioned. Indeed, the
construction seems one of the few instances where applications based on
discrete and continuous phase space methods can be developed in complete
analogy.
| quant-ph math-ph math.MP | we present a simple way to quantize the wellknown margulis expander map the result is a quantum expander which acts on discrete wigner functions in the same way the classical margulis expander acts on probability distributions the quantum version shares all essential properties of the classical counterpart eg it has the same degree and spectrum unlike previous constructions of quantum expanders our method does not rely on nonabelian harmonic analysis analogues for continuous variable systems are mentioned indeed the construction seems one of the few instances where applications based on discrete and continuous phase space methods can be developed in complete analogy | [['we', 'present', 'a', 'simple', 'way', 'to', 'quantize', 'the', 'wellknown', 'margulis', 'expander', 'map', 'the', 'result', 'is', 'a', 'quantum', 'expander', 'which', 'acts', 'on', 'discrete', 'wigner', 'functions', 'in', 'the', 'same', 'way', 'the', 'classical', 'margulis', 'expander', 'acts', 'on', 'probability', 'distributions', 'the', 'quantum', 'version', 'shares', 'all', 'essential', 'properties', 'of', 'the', 'classical', 'counterpart', 'eg', 'it', 'has', 'the', 'same', 'degree', 'and', 'spectrum', 'unlike', 'previous', 'constructions', 'of', 'quantum', 'expanders', 'our', 'method', 'does', 'not', 'rely', 'on', 'nonabelian', 'harmonic', 'analysis', 'analogues', 'for', 'continuous', 'variable', 'systems', 'are', 'mentioned', 'indeed', 'the', 'construction', 'seems', 'one', 'of', 'the', 'few', 'instances', 'where', 'applications', 'based', 'on', 'discrete', 'and', 'continuous', 'phase', 'space', 'methods', 'can', 'be', 'developed', 'in', 'complete', 'analogy']] | [-0.09772243513611566, 0.1009850976166918, -0.1436214073488087, 0.08176473265755739, -0.1205278494676082, -0.15146257415158199, 0.01884266307951846, 0.37520462458989784, -0.25837030564891356, -0.24302697914889923, 0.10913704585411824, -0.2506752816741081, -0.1854190691328589, 0.24956516057764197, -0.13950672469503594, 0.08353763421559159, 0.031984578261115386, 0.07909239009285218, -0.08044262711579601, -0.24852502476606592, 0.30846727359126885, 0.03083560515455354, 0.3004578109556699, 0.01554432068951428, 0.08794979101466928, 0.039237624875443314, -0.027137086530416913, -0.022195996831036537, -0.11228606519380621, 0.09680757100931277, 0.2109541382832343, 0.0917001074344358, 0.23320912284429604, -0.37107725537555547, -0.2685407574511676, 0.1426920383351435, 0.1173586628070802, 0.13100137340028167, -0.05313779829599548, -0.2686499501761122, 0.04712766576923576, -0.12195622240887685, -0.1327143824184496, -0.07788109083605163, -0.033474191457179246, 0.02646576624144526, -0.20247381785427968, 0.04040163070620859, 0.15389862194356016, 0.015105597455711925, -0.000175297588986509, -0.09313985694418936, 0.019144375596250242, 0.12216793287855883, -0.07419003622250303, 0.04774011427299211, 0.10637718832974012, -0.06066369490387539, -0.1754649325945031, 0.40074886507628593, -0.058899122929456184, -0.21736558434535183, 0.21092992125069907, -0.12126689073378585, -0.20391067900402726, 0.07231987784182944, 0.1086943799757636, 0.1540995242014783, -0.052361122752521555, 0.1643608085041884, -0.08963026819458488, 0.16318273225767246, 0.057071264052544445, 0.0880389152021677, 0.13850975300495824, 0.06278806646792766, 0.11389455443029017, 0.1443891396880716, 0.005186398262523261, -0.1766679655559653, -0.3100515631993082, -0.1467146114015372, -0.25003303147226974, 0.10459309472721276, -0.08907962525029457, -0.21483721886304954, 0.3891630413001586, 0.0899839959958769, 0.1718161994894948, 0.05394866829623888, 0.2731440080439343, 0.10280562911351558, 0.06949609305307854, 0.0999063132878612, 0.17095850261074363, 0.18892459991826294, 0.04623632657104263, -0.10408422594899129, 0.026927274501170304, 0.165481558252199] |
710.0652 | Matrix pairs over discrete valuation rings determine
Littlewood-Richardson fillings | Let M and N be two r x r matrices over a discrete valuation ring of
characteristic zero. The orders (with respect to a uniformizing parameter) of
the invariant factors of M form a partition of non-negative integers, called
the invariant partition of M. Let the invariant partition of M be mu, of N be
nu, and of the product MN be lambda. In this paper we construct a
Littlewood-Richardson filling of the skew shape lambda/mu with content nu, and
show that this filling is an invariant of the orbit of the pair (M,N) with
respect to a natural group action on the pair. We relate the algebraic
combinatorics of Littlewood-Richardson fillings to a special semicanonical
matrix in the orbit of (M,N), from which the Littlewood-Richardson filling, and
other combinatorial invariants may be obtained.
| math.CO math.AC | let m and n be two r x r matrices over a discrete valuation ring of characteristic zero the orders with respect to a uniformizing parameter of the invariant factors of m form a partition of nonnegative integers called the invariant partition of m let the invariant partition of m be mu of n be nu and of the product mn be lambda in this paper we construct a littlewoodrichardson filling of the skew shape lambdamu with content nu and show that this filling is an invariant of the orbit of the pair mn with respect to a natural group action on the pair we relate the algebraic combinatorics of littlewoodrichardson fillings to a special semicanonical matrix in the orbit of mn from which the littlewoodrichardson filling and other combinatorial invariants may be obtained | [['let', 'm', 'and', 'n', 'be', 'two', 'r', 'x', 'r', 'matrices', 'over', 'a', 'discrete', 'valuation', 'ring', 'of', 'characteristic', 'zero', 'the', 'orders', 'with', 'respect', 'to', 'a', 'uniformizing', 'parameter', 'of', 'the', 'invariant', 'factors', 'of', 'm', 'form', 'a', 'partition', 'of', 'nonnegative', 'integers', 'called', 'the', 'invariant', 'partition', 'of', 'm', 'let', 'the', 'invariant', 'partition', 'of', 'm', 'be', 'mu', 'of', 'n', 'be', 'nu', 'and', 'of', 'the', 'product', 'mn', 'be', 'lambda', 'in', 'this', 'paper', 'we', 'construct', 'a', 'littlewoodrichardson', 'filling', 'of', 'the', 'skew', 'shape', 'lambdamu', 'with', 'content', 'nu', 'and', 'show', 'that', 'this', 'filling', 'is', 'an', 'invariant', 'of', 'the', 'orbit', 'of', 'the', 'pair', 'mn', 'with', 'respect', 'to', 'a', 'natural', 'group', 'action', 'on', 'the', 'pair', 'we', 'relate', 'the', 'algebraic', 'combinatorics', 'of', 'littlewoodrichardson', 'fillings', 'to', 'a', 'special', 'semicanonical', 'matrix', 'in', 'the', 'orbit', 'of', 'mn', 'from', 'which', 'the', 'littlewoodrichardson', 'filling', 'and', 'other', 'combinatorial', 'invariants', 'may', 'be', 'obtained']] | [-0.21906801438091128, 0.12386730379599178, -0.10043783857375939, 0.01612936941222218, -0.05347553165907513, -0.16605448535879824, 0.029974271537242598, 0.3076893380189787, -0.33647361805023096, -0.22947634716340995, 0.05275543809889246, -0.2538714673345797, -0.1190209594214641, 0.1195895043757758, -0.06028795617618667, -0.04601289097692317, 0.004050887330546419, 0.11634604290906173, -0.14245993730783899, -0.27388589053567663, 0.3772739315363787, -0.024104925390305138, 0.14992769340525813, 0.020422687983390555, 0.07959436140815492, 0.005161923526633364, -0.0181884200715307, 0.043509547042646514, -0.18317413630526305, 0.14031699128186595, 0.25223901502635165, 0.060664341857990446, 0.17767540536431678, -0.3113454682613487, -0.07070574485488347, 0.15851988457143307, 0.13064640336287722, -0.05059336996793663, 0.03289481908093387, -0.26771723084957966, 0.14042453525011053, -0.18538524029748654, -0.13370342183260442, -0.029980849490306383, 0.11106402000739003, 0.021409480561460578, -0.32480577339154126, -0.01969727179480355, 0.08664289682603149, 0.07302443763074368, -0.02695773161405614, -0.19280913154466023, -0.045319100120799864, 0.0979270918030681, 0.021736207548459407, 0.0946449814155809, 0.09280086109247893, -0.08015494211924387, -0.11666360543693291, 0.3994222899426275, -0.0772135639076691, -0.27457087416090625, 0.10267000579372493, -0.2248802760046031, -0.1293182925203009, 0.16108527446405463, 0.11299475226829302, 0.13335489868116912, -0.02901085686119301, 0.21043685577729884, -0.15748915122213789, 0.12582343684704, 0.10554028627003974, 0.012828864751439264, 0.20930782864009267, 0.04549231328445473, 0.09282732093658945, 0.15364985690241917, -0.021324407690684243, -0.018959067059931025, -0.3149564417614254, -0.22072217378890446, -0.19221467208881765, 0.18939289581829877, -0.143736899023747, -0.18474503327161074, 0.38859576101366206, 0.018442056754277323, 0.2582182668622083, 0.09067718314663716, 0.1880125512730386, 0.10822069978536066, 0.04690675772448529, 0.027303664163172023, 0.03492024971811629, 0.18438666295121187, -0.037230880285522884, -0.2080139087524709, 0.00041347265646640046, 0.1625231189840932] |
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