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709.1435 | Composition operators in the Lipschitz Space of the Polydiscs | In 1987, Shapiro shew that composition operator induced by symbol $\phi$ is
compact on the Lipschltz space if and only if the infinity norm of $\phi$ is
less than 1 by a spectral-theoretic argument, where $\phi$ is a holomorphic
self-map of the unit disk. In this paper, we shall generalize Shapiro's result
to the $n$-dimensional case.
| math.FA math.CV | in 1987 shapiro shew that composition operator induced by symbol phi is compact on the lipschltz space if and only if the infinity norm of phi is less than 1 by a spectraltheoretic argument where phi is a holomorphic selfmap of the unit disk in this paper we shall generalize shapiros result to the ndimensional case | [['in', '1987', 'shapiro', 'shew', 'that', 'composition', 'operator', 'induced', 'by', 'symbol', 'phi', 'is', 'compact', 'on', 'the', 'lipschltz', 'space', 'if', 'and', 'only', 'if', 'the', 'infinity', 'norm', 'of', 'phi', 'is', 'less', 'than', '1', 'by', 'a', 'spectraltheoretic', 'argument', 'where', 'phi', 'is', 'a', 'holomorphic', 'selfmap', 'of', 'the', 'unit', 'disk', 'in', 'this', 'paper', 'we', 'shall', 'generalize', 'shapiros', 'result', 'to', 'the', 'ndimensional', 'case']] | [-0.15349795830182053, 0.1368320878552781, -0.08257112550940789, 0.031391676028513095, -0.09864408483051441, -0.11627205750820312, 0.01086796590084718, 0.3321281199089505, -0.27464081299575893, -0.18528094454245134, 0.09881150424903766, -0.27557371704077177, -0.1885316172784025, 0.19795251556418159, -0.1438230983574282, -0.027808291583575985, 0.05399962129410018, 0.10141109712421895, -0.08792457656342198, -0.24947303987362168, 0.40500759175893936, 0.005551328764043071, 0.08805989529937505, 0.05216732900166376, 0.06563595789590512, 0.00520553265444257, 0.018934802897274495, -0.04864892339894802, -0.15521811352346876, 0.08412100367078727, 0.18208131628872995, 0.11682866898957979, 0.27361322700638663, -0.3543869714506648, -0.14513694391670554, 0.22137157383628867, 0.12591947726905345, -0.0654407446357337, 0.008634256465699186, -0.24559647319415076, 0.16363753625615077, -0.11351669210601936, -0.12669875972311606, -0.002390484240922061, 0.12130696330304173, -0.04189404000697488, -0.27986891926689583, 0.042195611176165666, 0.1881566056135026, 0.049564020251008596, -0.053707952803762796, -0.06590607534586028, -0.0202336192808368, 0.007693853043019771, 0.014495962439104915, 0.20820838104594838, 0.11651995860209519, -0.04011164645833725, -0.058243260473351585, 0.333497994359244, -0.10469444861175196, -0.2863043747503649, 0.08183087224818089, -0.24384913588450713, -0.14227700599215248, 0.06064387222921307, 0.10970578686418858, 0.17874593093821947, -0.05582257477058606, 0.2190280455154028, -0.1026489081369205, 0.1739163335074078, 0.14525240656327118, -0.030744366004893726, 0.08282899094576185, 0.08154323132370006, 0.14260457648620517, 0.14049164728600194, -0.0164294322444634, -0.04763861456039277, -0.36831202312711286, -0.19658825319175693, -0.1980004242706028, 0.1414611526510932, -0.06898103797443168, -0.09711464433507486, 0.3322884199717505, 0.02729295956140215, 0.2277654886415059, 0.0912975490685891, 0.2870922187957066, 0.13636630130508406, 0.056524482657286254, 0.09262666812335903, 0.17063534705137665, 0.15901212980970741, 0.06930723407898437, -0.15068445419046012, 0.019787530829621987, 0.1644169050522826] |
709.1436 | Extended Ces$\acute{a}$RO Operators on Zygmund Spaces in the Unit Ball | Let $g$ be a holomorphic function of the unit ball $B$ in the $n$-dimensional
space, and denote by $T_g$ and $I_g$ the induced extended Ces$\acute{a}$ro
operator and another integral operator. The boundedness and compactness of
$T_g$ and $I_g$ acting on the Zygmund spaces in the unit ball are discussed and
necessary and sufficient conditions are given in this paper.
| math.FA math.CV | let g be a holomorphic function of the unit ball b in the ndimensional space and denote by t_g and i_g the induced extended cesacutearo operator and another integral operator the boundedness and compactness of t_g and i_g acting on the zygmund spaces in the unit ball are discussed and necessary and sufficient conditions are given in this paper | [['let', 'g', 'be', 'a', 'holomorphic', 'function', 'of', 'the', 'unit', 'ball', 'b', 'in', 'the', 'ndimensional', 'space', 'and', 'denote', 'by', 't_g', 'and', 'i_g', 'the', 'induced', 'extended', 'cesacutearo', 'operator', 'and', 'another', 'integral', 'operator', 'the', 'boundedness', 'and', 'compactness', 'of', 't_g', 'and', 'i_g', 'acting', 'on', 'the', 'zygmund', 'spaces', 'in', 'the', 'unit', 'ball', 'are', 'discussed', 'and', 'necessary', 'and', 'sufficient', 'conditions', 'are', 'given', 'in', 'this', 'paper']] | [-0.14843155501474595, 0.15342730134404425, -0.01932491489750301, 0.04592659406901883, -0.09619912851585782, -0.05364766067439883, -0.014272222819272429, 0.35952774737158727, -0.3027294808677558, -0.17186702145584698, 0.20293648375784337, -0.2757139409217855, -0.14035669640348902, 0.17712965394884092, -0.13863233436734, 0.030690615723744548, 0.02560520190585019, 0.1202516280243109, -0.11225859478822556, -0.2702676821500063, 0.4219273333437741, -0.029163999290301883, 0.12628199344757815, 0.11296949967549279, 0.11104810083734579, 0.018453181335895227, -0.00967709330344123, -0.004003506740414666, -0.23466291718570323, 0.14608278563888422, 0.18712106795885183, 0.08666818973544085, 0.2842546029755011, -0.4093671885704429, -0.1483556193556508, 0.25945301538590215, 0.08483473286996114, -0.20044757467534008, 0.013307474334804534, -0.301226221948284, 0.08042900529208369, -0.0664933898710999, -0.15425132450262277, -0.08504811423862803, 0.07932778926373556, 0.04635773094146159, -0.35263212635342417, 0.03494932691984136, 0.16087118969780617, 0.08684558697558682, -0.16705249327812985, -0.09007437697386947, -0.09046987394384783, 0.06998323425168879, -0.08267457140930767, 0.162457725370367, 0.10698297289039554, -0.02863719813316932, -0.04632447404658486, 0.3695661488535075, -0.09771879113696773, -0.2545290133305665, 0.08915625714921746, -0.26359396393346635, -0.04871963428590318, 0.03026256382722279, 0.10657946365997838, 0.18808763442111426, -0.08881300715087302, 0.2307199612350187, -0.06949755910719776, 0.040393579598708915, 0.09939807997053039, 0.04941298587022927, 0.11237975190682657, 0.08018269994826024, 0.1256542299825955, 0.19397661147101236, 0.022501697109466225, -0.005996860679166777, -0.4187710291609682, -0.19698544214118335, -0.21505807852372527, 0.08435474551314938, -0.1263876816416902, -0.14276352471768342, 0.3428424517543794, 0.02762557490696681, 0.22594183632012071, 0.061402937092272375, 0.17026472681780055, 0.13206633205569734, 0.06712235442607599, 0.0760982189952709, 0.07717857811728428, 0.24841970349019715, 0.026981836321346205, -0.20777769932716056, -0.015215846645677912, 0.21743941930491992] |
709.1437 | A Geant4 based engineering tool for Fresnel lenses | Geant4 is a Monte Carlo radiation transport toolkit that is becoming a tool
of generalized application in areas such as high-energy physics, nuclear
physics, astroparticle physics, or medical physics. Geant4 provides an optical
physics process category, allowing the simulation of the production and
propagation of light. Its capabilities are well tailored for the simulation of
optics systems namely in cosmic-rays experiments based in the detection of
Cherenkov and fluorescence light. The use of Geant4 as an engineering tool for
the optics design and simulation of Fresnel lens systems is discussed through a
specific example.
| astro-ph | geant4 is a monte carlo radiation transport toolkit that is becoming a tool of generalized application in areas such as highenergy physics nuclear physics astroparticle physics or medical physics geant4 provides an optical physics process category allowing the simulation of the production and propagation of light its capabilities are well tailored for the simulation of optics systems namely in cosmicrays experiments based in the detection of cherenkov and fluorescence light the use of geant4 as an engineering tool for the optics design and simulation of fresnel lens systems is discussed through a specific example | [['geant4', 'is', 'a', 'monte', 'carlo', 'radiation', 'transport', 'toolkit', 'that', 'is', 'becoming', 'a', 'tool', 'of', 'generalized', 'application', 'in', 'areas', 'such', 'as', 'highenergy', 'physics', 'nuclear', 'physics', 'astroparticle', 'physics', 'or', 'medical', 'physics', 'geant4', 'provides', 'an', 'optical', 'physics', 'process', 'category', 'allowing', 'the', 'simulation', 'of', 'the', 'production', 'and', 'propagation', 'of', 'light', 'its', 'capabilities', 'are', 'well', 'tailored', 'for', 'the', 'simulation', 'of', 'optics', 'systems', 'namely', 'in', 'cosmicrays', 'experiments', 'based', 'in', 'the', 'detection', 'of', 'cherenkov', 'and', 'fluorescence', 'light', 'the', 'use', 'of', 'geant4', 'as', 'an', 'engineering', 'tool', 'for', 'the', 'optics', 'design', 'and', 'simulation', 'of', 'fresnel', 'lens', 'systems', 'is', 'discussed', 'through', 'a', 'specific', 'example']] | [-0.017757054118617895, 0.12200310749640847, -0.1070136988357185, 0.12159394560220538, -0.0748911077315186, -0.12705150479450822, -0.08084780235398323, 0.3793950890924068, -0.2703605180041508, -0.36130691822023786, 0.0964288267671091, -0.30636289324413274, -0.12007355520828686, 0.3496573804555699, 0.02915314801948819, 0.12111189183618061, 0.10638888682575619, -0.05023151657920569, -0.01382720566037646, -0.15034630777750244, 0.23260414686569192, 0.22092840618805643, 0.2823854354334044, 0.10100044565215865, 0.10613042090405175, 0.10090584755736462, -0.0636026870101403, -0.05597458932390238, -0.09224853216724017, 0.10534494828947998, 0.30637295563962863, 0.17241059285291332, 0.22061948308924292, -0.4254416293722201, -0.2608491306569665, 0.033611226658475525, 0.12263039677116544, 0.07459529322829653, -0.18867576722194382, -0.27924263412925476, -0.04610101786501547, -0.1975542189048088, -0.155840959608, -0.030358882853761315, -0.07531250210756317, 0.06153629287245109, -0.22082200188665313, -0.019848443055030036, -0.031219306544331398, 0.10786398286569586, 0.021436063187603067, -0.11162290491282623, 0.02643866734727821, 0.10315672378798828, -0.02864160643242785, -0.010387377962073747, 0.19433900048619412, -0.19947352581855624, -0.18290776019281846, 0.4585982258728844, 0.018155998609801556, -0.155511893886835, 0.22127032591317325, -0.1064076009512993, -0.09390359365955946, 0.13313219060209838, 0.22782607045658726, 0.10986479216235433, -0.19365000937312365, 0.11818496135194746, 0.021075023209398733, 0.1592770078457258, -0.04114004973559938, 0.03811816121665191, 0.24071113980484216, 0.30377397837830666, -0.022395095782369336, 0.13202205282992663, -0.1505758397310893, -0.0831454108949711, -0.331633828501118, -0.21955410412889212, -0.15906760058900776, 0.04044103749750301, -0.01740955432553087, -0.18273730260973914, 0.35966566967916613, 0.18482549768699794, 0.025659374974450058, -0.07119459668273463, 0.3427074295171398, 0.035045521688013476, 0.024702331700183926, 0.0068134269429410395, 0.25669131895646136, 0.15870261119004894, 0.1515799620277942, -0.2001820095230211, 0.026914272875960994, 0.02666667497845644] |
709.1438 | Improved bounds in entropic uncertainty relations | Entropic uncertainty relations place nontrivial lower bounds to the sum of
Shannon information entropies for noncommuting observables. Here we obtain a
novel lower bound on the entropy sum for general pairs of observables in
finite-dimensional Hilbert space, which improves on the best bound known to
date [Maassen and Uffink, Phys. Rev. Lett. 60, 1103 (1988)] for a wide class of
observables. This result follows from another formulation of the uncertainty
principle, the Landau-Pollak inequality, whose relationship to the
Maassen-Uffink entropic uncertainty relation is discussed.
| quant-ph | entropic uncertainty relations place nontrivial lower bounds to the sum of shannon information entropies for noncommuting observables here we obtain a novel lower bound on the entropy sum for general pairs of observables in finitedimensional hilbert space which improves on the best bound known to date maassen and uffink phys rev lett 60 1103 1988 for a wide class of observables this result follows from another formulation of the uncertainty principle the landaupollak inequality whose relationship to the maassenuffink entropic uncertainty relation is discussed | [['entropic', 'uncertainty', 'relations', 'place', 'nontrivial', 'lower', 'bounds', 'to', 'the', 'sum', 'of', 'shannon', 'information', 'entropies', 'for', 'noncommuting', 'observables', 'here', 'we', 'obtain', 'a', 'novel', 'lower', 'bound', 'on', 'the', 'entropy', 'sum', 'for', 'general', 'pairs', 'of', 'observables', 'in', 'finitedimensional', 'hilbert', 'space', 'which', 'improves', 'on', 'the', 'best', 'bound', 'known', 'to', 'date', 'maassen', 'and', 'uffink', 'phys', 'rev', 'lett', '60', '1103', '1988', 'for', 'a', 'wide', 'class', 'of', 'observables', 'this', 'result', 'follows', 'from', 'another', 'formulation', 'of', 'the', 'uncertainty', 'principle', 'the', 'landaupollak', 'inequality', 'whose', 'relationship', 'to', 'the', 'maassenuffink', 'entropic', 'uncertainty', 'relation', 'is', 'discussed']] | [-0.09072185593235883, 0.12181650585262105, -0.0794890227178777, 0.08812580211088061, -0.10032661445438862, -0.12742992884124674, 0.14265110437519893, 0.2234728413057469, -0.2283212108803647, -0.3366960457060486, -0.0028495359653052652, -0.28029630091484814, -0.1117927165358283, 0.2612710823748438, -0.15367149532262592, 0.08254378281223278, 0.013849711622155848, 0.046363419819889326, -0.12883502561765323, -0.25449378594722866, 0.23595353742296407, 0.06225357385396603, 0.30523828622729826, 0.11273681392361011, 0.11467493018357172, 0.04481138849708562, 0.0037394553683476432, -0.019370081485595575, -0.28818521688559223, 0.17566827815608121, 0.229192301642061, 0.16190464771352708, 0.21988783416426963, -0.2905166253358835, -0.19599013251718134, 0.149088656492365, 0.04940606410881238, 0.08086158729219321, 0.08443441173516303, -0.32342976498849957, -0.03504797511102099, -0.2133708618071285, -0.06763110408376503, -0.08766399044959274, 0.105963667904559, -0.04604345512953365, -0.3124748414764846, 0.22827636826384282, 0.11423012614250183, 0.01336021845539411, -0.024294167676652295, -0.13524408822940176, 0.00495196453162602, 0.028758528453874447, -0.02139927585709042, 0.05509387425956361, 0.08114148939161428, -0.004818321724000964, -0.15532025570670763, 0.3122818129846737, -0.017532807516372054, -0.19869438689368377, 0.13082816445603385, -0.13656576033792503, -0.20240854422583998, 0.03060675697079638, 0.16369030888502797, 0.1329223389426867, -0.18547413752059497, 0.09711983238854113, -0.11164470766449258, 0.12285994563163036, 0.09889788832515478, 0.15508172358178335, 0.11891697952662417, 0.050503562636939545, 0.08534288938279219, 0.14658870750905148, -0.02096060923455904, -0.16588109472788692, -0.3688984234163183, -0.1761794897153907, -0.22849431245898208, 0.10057004890404642, -0.10725043227302238, -0.09011989394154322, 0.28754635193451705, 0.10954495196208536, 0.2034098473266654, 0.12084741703195807, 0.23840594550018154, 0.14462699818735322, 0.0025250554151300874, 0.10153444632998712, 0.2994445765756869, 0.23207449393036464, -0.006738319017347835, -0.1695881899296572, 0.04891176966373764, 0.14726619854558348] |
709.1439 | Plaquette Invariants and the Flavour Symmetric Description of Quark and
Neutrino Mixings | We present a complete set of new flavour-permutation-symmetric mixing
observables. We give expressions for these "plaquette invariants", both in
terms of the mixing matrix elements alone, and in terms of manifestly
Jarlskog-invariant functions of fermion mass matrices. While these quantities
are unconstrained in the Standard Model, we point out that remarkably, in the
case of leptonic mixing, the values of most of them are consistent with zero,
corresponding to certain phenomenological symmetries. We give examples of their
application to the flavour-symmetric description of both lepton and quark
mixings, showing for the first time how to construct explicitly weak-basis
invariant constraints on the mass matrices, for a number of phenomenologically
valid mixing ansatze.
| hep-ph | we present a complete set of new flavourpermutationsymmetric mixing observables we give expressions for these plaquette invariants both in terms of the mixing matrix elements alone and in terms of manifestly jarlskoginvariant functions of fermion mass matrices while these quantities are unconstrained in the standard model we point out that remarkably in the case of leptonic mixing the values of most of them are consistent with zero corresponding to certain phenomenological symmetries we give examples of their application to the flavoursymmetric description of both lepton and quark mixings showing for the first time how to construct explicitly weakbasis invariant constraints on the mass matrices for a number of phenomenologically valid mixing ansatze | [['we', 'present', 'a', 'complete', 'set', 'of', 'new', 'flavourpermutationsymmetric', 'mixing', 'observables', 'we', 'give', 'expressions', 'for', 'these', 'plaquette', 'invariants', 'both', 'in', 'terms', 'of', 'the', 'mixing', 'matrix', 'elements', 'alone', 'and', 'in', 'terms', 'of', 'manifestly', 'jarlskoginvariant', 'functions', 'of', 'fermion', 'mass', 'matrices', 'while', 'these', 'quantities', 'are', 'unconstrained', 'in', 'the', 'standard', 'model', 'we', 'point', 'out', 'that', 'remarkably', 'in', 'the', 'case', 'of', 'leptonic', 'mixing', 'the', 'values', 'of', 'most', 'of', 'them', 'are', 'consistent', 'with', 'zero', 'corresponding', 'to', 'certain', 'phenomenological', 'symmetries', 'we', 'give', 'examples', 'of', 'their', 'application', 'to', 'the', 'flavoursymmetric', 'description', 'of', 'both', 'lepton', 'and', 'quark', 'mixings', 'showing', 'for', 'the', 'first', 'time', 'how', 'to', 'construct', 'explicitly', 'weakbasis', 'invariant', 'constraints', 'on', 'the', 'mass', 'matrices', 'for', 'a', 'number', 'of', 'phenomenologically', 'valid', 'mixing', 'ansatze']] | [-0.12217777285322144, 0.19589948833202692, -0.035511548622502935, 0.1147749151631787, -0.034457894566527626, -0.10561421912935404, 0.06699171903761322, 0.3285722418075746, -0.20524936994256637, -0.2915959848376276, 0.05909258050021825, -0.2558909858795101, -0.11046054406743916, 0.1626442585723592, -0.005142863755961796, 0.08386700317855643, 0.03564007102872606, 0.019488153421227727, -0.1649016928628322, -0.23894386754480298, 0.3428632248578979, -0.02103869469316156, 0.18687331422676776, 0.07331277901172503, 0.09449415586402153, -0.04158208209933159, -0.046307732321758256, -0.03818834295311758, -0.12697721032148096, 0.08049480975416766, 0.20662292558857165, 0.11163756812226262, 0.08253353293817323, -0.3920102946728736, -0.13274124941079635, 0.13398064681756738, 0.1332925675428464, 0.11270510545210191, -0.04453404203844469, -0.25086053867555885, 0.07225053890834789, -0.19808422177526597, -0.1305522793308236, -0.17311714728245395, -0.00047490953023100757, -0.03972224617714633, -0.3385143429837987, 0.10324000074268058, 0.0037932440907031567, 0.02668290582342862, -0.027675543733461348, -0.18055450732962372, -0.045691972558579604, 0.12201594390595953, 0.11816035179517793, -0.06194104058332406, 0.06695309600180334, -0.1517010428229565, -0.10887279683306629, 0.41647787202518805, -0.061318401142384286, -0.26760814461420784, 0.14875123634523302, -0.1651796439729698, -0.17384879069553838, 0.08125619608741086, 0.15986898559070117, 0.10815881935225145, -0.1775005806975805, 0.11531865962063642, -0.10131772409554, 0.09051365955645714, 0.03554933339458059, 0.07930802956206708, 0.20934646362900264, 0.0986253420008464, 0.05040241502695256, 0.08156618440150376, -0.0019382573750713287, -0.1164389063461541, -0.4169087864223633, -0.12469842386020867, -0.12257256964221597, 0.054569331986246514, -0.1274077189152301, -0.17254983306535193, 0.46194990387035384, 0.1530976576881634, 0.24475979853656377, 0.11370311650187448, 0.2460526898692085, 0.11824879966225782, 0.061482551557993564, 0.03474361110512201, 0.23108881215254465, 0.1757622640978478, 0.04050293019217615, -0.21188919200469647, 0.009142433658141541, 0.11414942497320406] |
709.144 | Density Dependence of the Mass Function of Globular Star Clusters in the
Sombrero Galaxy and its Dynamical Implications | We have constructed the mass function of globular star clusters in the
Sombrero galaxy in bins of different internal half-mass density rho_h and
projected galactocentric distance R. This is based on the published
measurements of the magnitudes and effective radii of the clusters by Spitler
et al. (2006) in BVR images taken with the ACS on HST. We find that the peak of
the mass function M_p increases with rho_h by a factor of about 4 but remains
nearly constant with R. Our results are almost identical to those presented
recently by McLaughlin & Fall (2007) for globular clusters in the Milky Way.
The mass functions in both galaxies agree with a simple, approximate model in
which the clusters form with a Schechter initial mass function and evolve
subsequently by stellar escape driven by internal two-body relaxation. These
findings therefore undermine recent claims that the present peak of the mass
function of globular clusters must have been built into the initial conditions.
| astro-ph | we have constructed the mass function of globular star clusters in the sombrero galaxy in bins of different internal halfmass density rho_h and projected galactocentric distance r this is based on the published measurements of the magnitudes and effective radii of the clusters by spitler et al 2006 in bvr images taken with the acs on hst we find that the peak of the mass function m_p increases with rho_h by a factor of about 4 but remains nearly constant with r our results are almost identical to those presented recently by mclaughlin fall 2007 for globular clusters in the milky way the mass functions in both galaxies agree with a simple approximate model in which the clusters form with a schechter initial mass function and evolve subsequently by stellar escape driven by internal twobody relaxation these findings therefore undermine recent claims that the present peak of the mass function of globular clusters must have been built into the initial conditions | [['we', 'have', 'constructed', 'the', 'mass', 'function', 'of', 'globular', 'star', 'clusters', 'in', 'the', 'sombrero', 'galaxy', 'in', 'bins', 'of', 'different', 'internal', 'halfmass', 'density', 'rho_h', 'and', 'projected', 'galactocentric', 'distance', 'r', 'this', 'is', 'based', 'on', 'the', 'published', 'measurements', 'of', 'the', 'magnitudes', 'and', 'effective', 'radii', 'of', 'the', 'clusters', 'by', 'spitler', 'et', 'al', '2006', 'in', 'bvr', 'images', 'taken', 'with', 'the', 'acs', 'on', 'hst', 'we', 'find', 'that', 'the', 'peak', 'of', 'the', 'mass', 'function', 'm_p', 'increases', 'with', 'rho_h', 'by', 'a', 'factor', 'of', 'about', '4', 'but', 'remains', 'nearly', 'constant', 'with', 'r', 'our', 'results', 'are', 'almost', 'identical', 'to', 'those', 'presented', 'recently', 'by', 'mclaughlin', 'fall', '2007', 'for', 'globular', 'clusters', 'in', 'the', 'milky', 'way', 'the', 'mass', 'functions', 'in', 'both', 'galaxies', 'agree', 'with', 'a', 'simple', 'approximate', 'model', 'in', 'which', 'the', 'clusters', 'form', 'with', 'a', 'schechter', 'initial', 'mass', 'function', 'and', 'evolve', 'subsequently', 'by', 'stellar', 'escape', 'driven', 'by', 'internal', 'twobody', 'relaxation', 'these', 'findings', 'therefore', 'undermine', 'recent', 'claims', 'that', 'the', 'present', 'peak', 'of', 'the', 'mass', 'function', 'of', 'globular', 'clusters', 'must', 'have', 'been', 'built', 'into', 'the', 'initial', 'conditions']] | [-0.06309773773099556, 0.12320157663060803, -0.10474805623547447, 0.05432207117100125, -0.034199933194618976, -0.03631439473653886, 0.03751542027143079, 0.4049584517220718, -0.1541289952272688, -0.3991505543105536, 0.015319581712619258, -0.27682167404730407, -0.05969336084003404, 0.1924649372361369, -0.023550965973633046, 0.013954228073682474, 0.0873925949342734, -0.04155861211778677, -0.07885985663565605, -0.3307011943507176, 0.3211170053716911, 0.05650924755295056, 0.1636646893157433, -0.03164799255463555, 0.06454180217469516, -0.010308388726184179, -0.06397377856376564, 0.019601754916496343, -0.20397467042150638, 0.04580131696677414, 0.17600327741458827, 0.1380168046666344, 0.2359786549444247, -0.3547257508627741, -0.17911625083793326, 0.043721048330587355, 0.19567164470244963, 0.0456235116247886, -0.07060508745410103, -0.28341359013593204, 0.05989490491077767, -0.18945030546428995, -0.17668401355340335, 0.05097892178910906, 0.10014804984914336, 0.06645490971042468, -0.2236928518699563, 0.19946386528498586, -0.003120401579169383, 0.03566557281905126, -0.1259049031325263, -0.16476872237977683, -0.05901308018592712, 0.08432025085810733, 0.010898615433892339, 0.10452954689769642, 0.1689532171292751, -0.08281087076222027, -0.02066042875547124, 0.3449998783766182, -0.04593145112674799, -0.06571767282504473, 0.20396523357669805, -0.17896032987396748, -0.15261067346592364, 0.056371948746848644, 0.1467912320585586, 0.08354424837085864, -0.1916178195442287, 0.08383536799225134, -0.062309816668767434, 0.1802705421881831, 0.0853878916877536, 0.009661242023189204, 0.27076754876360387, 0.08720629917665945, 0.039852910977354425, 0.06695809903242249, -0.11906833542505083, -0.05886353959180472, -0.2110345131885376, -0.06685152295861185, -0.1585526830019279, 0.05617534268722632, -0.12798977644381226, -0.12948595266499968, 0.33319864238566077, 0.07245213633709767, 0.2864955053563513, 0.09341753317008478, 0.2594148723863395, 0.1117331032526986, 0.15218275949873772, 0.12354449309142572, 0.30154312341271533, 0.15381546667216617, 0.053827066816135034, -0.22676801683868553, 0.035828362824250684, 0.01590635561708199] |
709.1441 | Information-theoretic analysis of MIMO channel sounding | The large majority of commercially available multiple-input multiple-output
(MIMO) radio channel measurement devices (sounders) is based on time-division
multiplexed switching (TDMS) of a single transmit/receive radio-frequency chain
into the elements of a transmit/receive antenna array. While being
cost-effective, such a solution can cause significant measurement errors due to
phase noise and frequency offset in the local oscillators. In this paper, we
systematically analyze the resulting errors and show that, in practice,
overestimation of channel capacity by several hundred percent can occur.
Overestimation is caused by phase noise (and to a lesser extent frequency
offset) leading to an increase of the MIMO channel rank. Our analysis
furthermore reveals that the impact of phase errors is, in general, most
pronounced if the physical channel has low rank (typical for line-of-sight or
poor scattering scenarios). The extreme case of a rank-1 physical channel is
analyzed in detail. Finally, we present measurement results obtained from a
commercially employed TDMS-based MIMO channel sounder. In the light of the
findings of this paper, the results obtained through MIMO channel measurement
campaigns using TDMS-based channel sounders should be interpreted with great
care.
| cs.IT math.IT | the large majority of commercially available multipleinput multipleoutput mimo radio channel measurement devices sounders is based on timedivision multiplexed switching tdms of a single transmitreceive radiofrequency chain into the elements of a transmitreceive antenna array while being costeffective such a solution can cause significant measurement errors due to phase noise and frequency offset in the local oscillators in this paper we systematically analyze the resulting errors and show that in practice overestimation of channel capacity by several hundred percent can occur overestimation is caused by phase noise and to a lesser extent frequency offset leading to an increase of the mimo channel rank our analysis furthermore reveals that the impact of phase errors is in general most pronounced if the physical channel has low rank typical for lineofsight or poor scattering scenarios the extreme case of a rank1 physical channel is analyzed in detail finally we present measurement results obtained from a commercially employed tdmsbased mimo channel sounder in the light of the findings of this paper the results obtained through mimo channel measurement campaigns using tdmsbased channel sounders should be interpreted with great care | [['the', 'large', 'majority', 'of', 'commercially', 'available', 'multipleinput', 'multipleoutput', 'mimo', 'radio', 'channel', 'measurement', 'devices', 'sounders', 'is', 'based', 'on', 'timedivision', 'multiplexed', 'switching', 'tdms', 'of', 'a', 'single', 'transmitreceive', 'radiofrequency', 'chain', 'into', 'the', 'elements', 'of', 'a', 'transmitreceive', 'antenna', 'array', 'while', 'being', 'costeffective', 'such', 'a', 'solution', 'can', 'cause', 'significant', 'measurement', 'errors', 'due', 'to', 'phase', 'noise', 'and', 'frequency', 'offset', 'in', 'the', 'local', 'oscillators', 'in', 'this', 'paper', 'we', 'systematically', 'analyze', 'the', 'resulting', 'errors', 'and', 'show', 'that', 'in', 'practice', 'overestimation', 'of', 'channel', 'capacity', 'by', 'several', 'hundred', 'percent', 'can', 'occur', 'overestimation', 'is', 'caused', 'by', 'phase', 'noise', 'and', 'to', 'a', 'lesser', 'extent', 'frequency', 'offset', 'leading', 'to', 'an', 'increase', 'of', 'the', 'mimo', 'channel', 'rank', 'our', 'analysis', 'furthermore', 'reveals', 'that', 'the', 'impact', 'of', 'phase', 'errors', 'is', 'in', 'general', 'most', 'pronounced', 'if', 'the', 'physical', 'channel', 'has', 'low', 'rank', 'typical', 'for', 'lineofsight', 'or', 'poor', 'scattering', 'scenarios', 'the', 'extreme', 'case', 'of', 'a', 'rank1', 'physical', 'channel', 'is', 'analyzed', 'in', 'detail', 'finally', 'we', 'present', 'measurement', 'results', 'obtained', 'from', 'a', 'commercially', 'employed', 'tdmsbased', 'mimo', 'channel', 'sounder', 'in', 'the', 'light', 'of', 'the', 'findings', 'of', 'this', 'paper', 'the', 'results', 'obtained', 'through', 'mimo', 'channel', 'measurement', 'campaigns', 'using', 'tdmsbased', 'channel', 'sounders', 'should', 'be', 'interpreted', 'with', 'great', 'care']] | [-0.22161902161824004, 0.10241165432814685, -0.011434876253126098, -0.01350150859782401, -0.033785434694238045, -0.1938593411930109, 0.09711785903047832, 0.39490474674524995, -0.21778927538658446, -0.27908762636507956, 0.1333957513917716, -0.25239884225865367, -0.15427107764967804, 0.19036411734608313, -0.10911760781891644, 0.0349863328801753, 0.10319293730591979, -0.015271425731938149, -0.0699129599436629, -0.20099050819090075, 0.28094196515991177, 0.10804712970084587, 0.33296404933159957, 0.015315249409587657, 0.08513989153475872, 0.010709203385284853, -0.04730191166910898, -0.021569481998035694, -0.06241909245353846, 0.03493020169216188, 0.30785433969287396, 0.1153373774370087, 0.24028709808700396, -0.3971607031636551, -0.2516147389020669, 0.10719523603564811, 0.19527996990249538, 0.10816993546014388, -0.06955847277463785, -0.28224049076053714, 0.09292743800849211, -0.24198938234928039, 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0.1258000805770439, 0.021673711851402058, 0.39090442003509224, 0.11111615715062378, 0.08997581700178606, 0.04901233430865318, 0.2775310804670463, 0.14898641381153196, 0.09745378388331113, -0.21188170638296733, 0.07031156453227655, -0.09855092973371998] |
709.1442 | Light-matter interaction in Mie nanolasers | By deriving a three dimensional vector set of Maxwell-Bloch equations, we
report on an ab-initio investigation of a spherical Mie nanolaser. Parallel
numerical simulations predict a rich physical scenario, ranging from a
nontrivial vectorial energy-matter interplay in the initial stage of evolution
to mode competition and dynamical frequency pulling effects. Application of
these effects could favor the realization of nonlinearly-controlled
largely-tunable nanolaser devices.
| physics.optics cond-mat.soft quant-ph | by deriving a three dimensional vector set of maxwellbloch equations we report on an abinitio investigation of a spherical mie nanolaser parallel numerical simulations predict a rich physical scenario ranging from a nontrivial vectorial energymatter interplay in the initial stage of evolution to mode competition and dynamical frequency pulling effects application of these effects could favor the realization of nonlinearlycontrolled largelytunable nanolaser devices | [['by', 'deriving', 'a', 'three', 'dimensional', 'vector', 'set', 'of', 'maxwellbloch', 'equations', 'we', 'report', 'on', 'an', 'abinitio', 'investigation', 'of', 'a', 'spherical', 'mie', 'nanolaser', 'parallel', 'numerical', 'simulations', 'predict', 'a', 'rich', 'physical', 'scenario', 'ranging', 'from', 'a', 'nontrivial', 'vectorial', 'energymatter', 'interplay', 'in', 'the', 'initial', 'stage', 'of', 'evolution', 'to', 'mode', 'competition', 'and', 'dynamical', 'frequency', 'pulling', 'effects', 'application', 'of', 'these', 'effects', 'could', 'favor', 'the', 'realization', 'of', 'nonlinearlycontrolled', 'largelytunable', 'nanolaser', 'devices']] | [-0.1933456924056909, 0.1394734370513136, -0.1178370048520995, -0.0006915429973455726, -0.11592006500138612, -0.10347657083709282, 0.04584144458907549, 0.33178383176840964, -0.2458294603943092, -0.2911908398153352, 0.057774341709102645, -0.2409012771562719, -0.18632162350123047, 0.20024899726153397, 0.05996895392070387, 0.038731429504505435, 0.050853645030149545, -0.05954663872100474, -0.04037864658157112, -0.12481745901196951, 0.33349568580017713, 0.02483311863463433, 0.3035818902073336, 0.017990901547132947, 0.12731059317736595, -0.02763592428909462, -0.0009772852025010058, -0.0040393448358432196, -0.15348480073887794, 0.09592896828153094, 0.20523321536965058, 0.02802510513756119, 0.2721726073135362, -0.49949149396575865, -0.24981923750983398, 0.007438342422857637, 0.1443428775776544, 0.18490878022352203, -0.12054797780478647, -0.2730295383295075, 0.014721404211442978, -0.17890633548014476, -0.17113060710000325, -0.0824831612560837, 0.00976411370774273, 0.006700360567354765, -0.2922597147379315, 0.0520210735896816, 0.009445698585907058, 0.09794459165241874, -0.10361087740877009, -0.08949712939707363, -0.0194071121093985, 0.04768704783484401, -0.017758971358817377, -0.03422622904792184, 0.1767850113712007, -0.1291011120742578, -0.15279049499601613, 0.39697791690953443, -0.06291981167198143, -0.15737105667071996, 0.2174237964361845, -0.12151150764958536, -0.06614398494454436, 0.10874299801977687, 0.22751094949370648, 0.08913367779039946, -0.1431640279918268, 0.06298136643847817, -0.004520247629309287, 0.19234062807603938, 0.053097156700907186, 0.041110431964387045, 0.2559304076330889, 0.23451489225396369, -0.06618450643097767, 0.14819412415877717, -0.04569354333884281, -0.15628273253802394, -0.3093076592280728, -0.10813334646833236, -0.15016923666326712, 0.11909142580097083, -0.11520528810868826, -0.1663698361972805, 0.39248174966358745, 0.12847168454575947, 0.13660165013317935, -0.016769211235471437, 0.3011808610658665, 0.08996525990655531, -0.008592984990262594, -0.05988850371270883, 0.25137151985383427, 0.16092011230600783, 0.07157946421505242, -0.2746087966876135, -0.008838875602823912, 0.024075771628527858] |
709.1443 | Extended Ces$\acute{a}$RO Operators between Generalized Besov Spaces and
Bloch Type Spaces in the Unit Ball | Let $g$ be a holomorphic map of $B$, where $B$ is the unit ball of ${C}^n$.
Let $0<p<+\infty, -n-1<q<+\infty$, $q>-1$ and $\alpha>0$. This paper gives some
necessary and sufficient conditions for the Extended Ces$\acute{a}$ro Operators
induced by $g$ to be bounded or compact between generalized Besov space
$B(p,q)$ and $\alpha$- Bloch space ${\mathcal B}^\alpha.$
| math.FA math.CV | let g be a holomorphic map of b where b is the unit ball of cn let 0pinfty n1qinfty q1 and alpha0 this paper gives some necessary and sufficient conditions for the extended cesacutearo operators induced by g to be bounded or compact between generalized besov space bpq and alpha bloch space mathcal balpha | [['let', 'g', 'be', 'a', 'holomorphic', 'map', 'of', 'b', 'where', 'b', 'is', 'the', 'unit', 'ball', 'of', 'cn', 'let', '0pinfty', 'n1qinfty', 'q1', 'and', 'alpha0', 'this', 'paper', 'gives', 'some', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'the', 'extended', 'cesacutearo', 'operators', 'induced', 'by', 'g', 'to', 'be', 'bounded', 'or', 'compact', 'between', 'generalized', 'besov', 'space', 'bpq', 'and', 'alpha', 'bloch', 'space', 'mathcal', 'balpha']] | [-0.1730878318910702, 0.17647610760580462, -0.010421084920660807, 0.0088878887024923, -0.10555098567587826, -0.1834420049115299, 0.01198974958074709, 0.33027212199969935, -0.3030139741559441, -0.16438641005124038, 0.10415921356672278, -0.221694584380692, -0.10501367192661676, 0.1622035993540731, -0.12058633699332579, -0.015278003536737882, 0.00670947355683893, 0.10185221368737984, -0.0957690158393234, -0.2253495230912589, 0.3882786888548603, -0.07654061782075307, 0.1026012922028223, 0.058135896464451574, 0.04445522239145178, -0.023711577630960025, 0.031566944210611, -0.017305325314877197, -0.2624706654236294, 0.10887471620494929, 0.23657032600245798, 0.10166719099148534, 0.2791774714938723, -0.35574191821237594, -0.17715293686622038, 0.31859361435859823, 0.13508243565089428, -0.20270707257665121, 0.0543306968264425, -0.31627244552454126, 0.12661523396113458, -0.07980458470634542, -0.16725773379529038, -0.10373542208869296, 0.1648910019475107, 0.014443954394664615, -0.43750663767926967, 0.03376114193815738, 0.1495735043874727, 0.03936160531324836, -0.10853434599434528, -0.11311081073318537, -0.09459561466848335, 0.05422872258798005, -0.10307851056299674, 0.22183617850980505, 0.04672774704746329, 0.017537207633722574, -0.023093444572833296, 0.3982347013572088, -0.11010436398478654, -0.27516319273182976, 0.06968128730435498, -0.272518743823569, -0.08940164085764152, 0.06734762870921539, 0.12121091885581756, 0.16469204479541916, -0.04446648097095581, 0.27887878580972586, -0.0894246285673804, 0.07717618011744119, 0.1103524998224412, 0.021396979676165547, 0.10386768764314744, 0.037188638118095696, 0.15641153150667939, 0.15078526759932104, -0.025144840913036696, 0.05360706360079348, -0.4094571191817522, -0.15473957630008675, -0.17527314382963455, 0.15345407852258247, -0.13498633458696602, -0.1360346818020424, 0.29278681174708676, -0.01388068676281434, 0.21893449052451894, 0.06718916754023387, 0.14090932526876435, 0.10458105330494269, 0.009503906406909944, 0.10121596471155779, 0.03605703213711072, 0.22330460537789174, 0.0019096840316286455, -0.16274995277098453, -0.040737098978402525, 0.17447940292493933] |
709.1444 | Fermi-Bose transformation for the time-dependent Lieb-Liniger gas | Exact solutions of the Schrodinger equation describing a freely expanding
Lieb-Liniger (LL) gas of delta-interacting bosons in one spatial dimension are
constructed. The many-body wave function is obtained by transforming a fully
antisymmetric (fermionic) time-dependent wave function which obeys the
Schrodinger equation for a free gas. This transformation employs a differential
Fermi-Bose mapping operator which depends on the strength of the interaction
and the number of particles.
| cond-mat.other | exact solutions of the schrodinger equation describing a freely expanding liebliniger ll gas of deltainteracting bosons in one spatial dimension are constructed the manybody wave function is obtained by transforming a fully antisymmetric fermionic timedependent wave function which obeys the schrodinger equation for a free gas this transformation employs a differential fermibose mapping operator which depends on the strength of the interaction and the number of particles | [['exact', 'solutions', 'of', 'the', 'schrodinger', 'equation', 'describing', 'a', 'freely', 'expanding', 'liebliniger', 'll', 'gas', 'of', 'deltainteracting', 'bosons', 'in', 'one', 'spatial', 'dimension', 'are', 'constructed', 'the', 'manybody', 'wave', 'function', 'is', 'obtained', 'by', 'transforming', 'a', 'fully', 'antisymmetric', 'fermionic', 'timedependent', 'wave', 'function', 'which', 'obeys', 'the', 'schrodinger', 'equation', 'for', 'a', 'free', 'gas', 'this', 'transformation', 'employs', 'a', 'differential', 'fermibose', 'mapping', 'operator', 'which', 'depends', 'on', 'the', 'strength', 'of', 'the', 'interaction', 'and', 'the', 'number', 'of', 'particles']] | [-0.1625077990665615, 0.18792711652870944, -0.06285292389038116, 0.059934252539455, -0.06284622694435182, -0.16902171217127523, -0.06124944432026971, 0.25863829157801704, -0.2408688634550616, -0.19279874535972502, 0.0178653732856124, -0.3136305122900365, -0.1057697036929095, 0.13740616731012045, 0.14178955377037847, 0.08070626809459819, 0.021616062364860703, 0.023579956678701424, -0.11210300851224074, -0.17954737590208872, 0.3740451233531001, -0.03309314141967403, 0.23249765870564465, 0.008368985762180233, 0.17594150723124952, 0.07301028324430113, 0.004651570164445621, -0.05451990566702921, -0.12224560125327821, 0.0770520802392666, 0.1621983945534787, 0.03706275888044498, 0.2446446771830765, -0.42422376253378036, -0.24246116222834577, 0.07547830369101087, 0.19589413123538912, 0.14886126471201214, -0.04363183827493896, -0.37220516267107495, -0.094283965596957, -0.19037520207131087, -0.23499841591232082, -0.02925245024597467, 0.04543175473253229, 0.07239567008870307, -0.28969650551565546, 0.15565118403190273, 0.013352791848244951, -0.0020081889524590224, -0.11249415237550388, -0.03617054296296034, -0.05766319476568432, 0.03036597373012676, -0.021206279316527854, 0.05889037293955378, 0.13080481866569216, -0.17692324255398517, 0.0014841687907256296, 0.39048139048295455, -0.11562761861775349, -0.30968538087917796, 0.1845865438956378, -0.1340733244667636, -0.06785380369775108, 0.14984902631102212, 0.10976061075508817, 0.07805640122561312, -0.18219347449658968, 0.2036154755146187, -0.09082760807055522, 0.18313342069428581, 0.0593552785341753, 0.0006963130392467798, 0.16645428368738338, 0.10973971622036909, 0.04472211696235324, 0.14955626054208226, 0.010670525768994172, -0.14662166347087763, -0.3196150414756875, -0.17210117707188838, -0.2539236498440602, 0.08573443320390435, -0.0821950228173727, -0.205198352273776, 0.42823169242118053, 0.08058447269861822, 0.15397718358340104, 0.0297789490927678, 0.23826081065266436, 0.2710937998438282, 0.024612055132304553, 0.0618116322195908, 0.18269898442190086, 0.17464494155094362, 0.07636620206480373, -0.2888474592794803, -0.05962020199078677, 0.20809427852075157] |
709.1445 | The Formation of Fragments at Corotation in Isothermal Protoplanetary
Disks | Numerical hydrodynamics simulations have established that disks which are
evolved under the condition of local isothermality will fragment into small
dense clumps due to gravitational instabilities when the Toomre stability
parameter $Q$ is sufficiently low. Because fragmentation through disk
instability has been suggested as a gas giant planet formation mechanism, it is
important to understand the physics underlying this process as thoroughly as
possible. In this paper, we offer analytic arguments for why, at low $Q$,
fragments are most likely to form first at the corotation radii of growing
spiral modes, and we support these arguments with results from 3D hydrodynamics
simulations.
| astro-ph | numerical hydrodynamics simulations have established that disks which are evolved under the condition of local isothermality will fragment into small dense clumps due to gravitational instabilities when the toomre stability parameter q is sufficiently low because fragmentation through disk instability has been suggested as a gas giant planet formation mechanism it is important to understand the physics underlying this process as thoroughly as possible in this paper we offer analytic arguments for why at low q fragments are most likely to form first at the corotation radii of growing spiral modes and we support these arguments with results from 3d hydrodynamics simulations | [['numerical', 'hydrodynamics', 'simulations', 'have', 'established', 'that', 'disks', 'which', 'are', 'evolved', 'under', 'the', 'condition', 'of', 'local', 'isothermality', 'will', 'fragment', 'into', 'small', 'dense', 'clumps', 'due', 'to', 'gravitational', 'instabilities', 'when', 'the', 'toomre', 'stability', 'parameter', 'q', 'is', 'sufficiently', 'low', 'because', 'fragmentation', 'through', 'disk', 'instability', 'has', 'been', 'suggested', 'as', 'a', 'gas', 'giant', 'planet', 'formation', 'mechanism', 'it', 'is', 'important', 'to', 'understand', 'the', 'physics', 'underlying', 'this', 'process', 'as', 'thoroughly', 'as', 'possible', 'in', 'this', 'paper', 'we', 'offer', 'analytic', 'arguments', 'for', 'why', 'at', 'low', 'q', 'fragments', 'are', 'most', 'likely', 'to', 'form', 'first', 'at', 'the', 'corotation', 'radii', 'of', 'growing', 'spiral', 'modes', 'and', 'we', 'support', 'these', 'arguments', 'with', 'results', 'from', '3d', 'hydrodynamics', 'simulations']] | [-0.10682632578320016, 0.13588556146486572, -0.13333651429845714, 0.108876438220874, -0.097597365002787, -0.07488905749393299, -0.015209431891265673, 0.34193951354616586, -0.22748539262273185, -0.28438453120636004, 0.10292498450657792, -0.22528621886729025, -0.12034154341866572, 0.14686688535627634, 0.002310213988975567, 0.05941195569261361, 0.0517195107794239, -0.06750026065856218, -0.009746081528468422, -0.22955608853212028, 0.33211684577605305, 0.11456508247989833, 0.15898506857418254, 0.041933932973359546, 0.0218876248006435, -0.12583464322447338, 0.012762487304451712, -0.0016182726112139575, -0.2381483691807422, -0.0007500903482329758, 0.2471013415385695, 0.10684432680764254, 0.3055940268780379, -0.4698688932785801, -0.23251641554502295, 0.03969271664562471, 0.23732111960256874, 0.1131817809906423, -0.09036671890941102, -0.1919978930724456, 0.16378881059605263, -0.20185938290680996, -0.19314583764393248, -0.07650433553784501, 0.09470905526541173, 0.020208268298530112, -0.2736888291478595, 0.10217366210531954, 0.09768048191086992, 0.04473790362039033, -0.06991147058764838, -0.0966592682799434, -0.0648576885772248, 0.05197698426776447, 0.09432293930377438, 0.051780469980383034, 0.1788124894705035, -0.1284047495528106, -0.028603901036595013, 0.41222228213012513, 0.009452716780680359, -0.14943025982710442, 0.2924772566093095, -0.2146169178406982, -0.13238202832986182, 0.17128268701216096, 0.17566451545937134, 0.10697160809136488, -0.09021620942104502, 0.01767009278467181, -0.027731093509561, 0.14346580429678307, 0.0899731186355519, 0.04365427664700238, 0.3340007880538264, 0.15980235433123788, -0.0031368459549769028, 0.10848645606836048, -0.09542959714627952, -0.12536624591745088, -0.27208667379968304, -0.07425453187897801, -0.14846212147077656, 0.02698303178619301, -0.057241155007967094, -0.12123408332905349, 0.2668585399161184, 0.1347423209991379, 0.19842454287059166, 0.009878754404638255, 0.3456297365802468, 0.09519939287337383, 0.11258717944078586, 0.09780208236884837, 0.2854533537163162, 0.1609046072333905, 0.07588706810629982, -0.21745682213519352, 0.09482836259949003, 0.04546088733545998] |
709.1446 | Algorithm for counting large directed loops | We derive a Belief-Propagation algorithm for counting large loops in a
directed network. We evaluate the distribution of the number of small loops in
a directed random network with given degree sequence. We apply the algorithm to
a few characteristic directed networks of various network sizes and loop
structures and compare the algorithm with exhaustive counting results when
possible. The algorithm is adequate in estimating loop counts for large
directed networks and can be used to compare the loop structure of directed
networks and their randomized counterparts.
| cond-mat.dis-nn | we derive a beliefpropagation algorithm for counting large loops in a directed network we evaluate the distribution of the number of small loops in a directed random network with given degree sequence we apply the algorithm to a few characteristic directed networks of various network sizes and loop structures and compare the algorithm with exhaustive counting results when possible the algorithm is adequate in estimating loop counts for large directed networks and can be used to compare the loop structure of directed networks and their randomized counterparts | [['we', 'derive', 'a', 'beliefpropagation', 'algorithm', 'for', 'counting', 'large', 'loops', 'in', 'a', 'directed', 'network', 'we', 'evaluate', 'the', 'distribution', 'of', 'the', 'number', 'of', 'small', 'loops', 'in', 'a', 'directed', 'random', 'network', 'with', 'given', 'degree', 'sequence', 'we', 'apply', 'the', 'algorithm', 'to', 'a', 'few', 'characteristic', 'directed', 'networks', 'of', 'various', 'network', 'sizes', 'and', 'loop', 'structures', 'and', 'compare', 'the', 'algorithm', 'with', 'exhaustive', 'counting', 'results', 'when', 'possible', 'the', 'algorithm', 'is', 'adequate', 'in', 'estimating', 'loop', 'counts', 'for', 'large', 'directed', 'networks', 'and', 'can', 'be', 'used', 'to', 'compare', 'the', 'loop', 'structure', 'of', 'directed', 'networks', 'and', 'their', 'randomized', 'counterparts']] | [-0.14981265335033336, 0.10730509694943997, -0.03489875687478945, 0.10810078227298399, -0.07061068167717292, -0.14135354436163244, 0.0681014192175527, 0.47112651250656995, -0.2532617519957538, -0.33374026660197254, 0.07862546800865909, -0.21636050889247108, -0.21010557675584293, 0.17248218132172252, -0.042667195147395816, 0.1047305052139229, 0.10338170425002945, 0.08660831115604646, 0.0013756519283874538, -0.23989809171467935, 0.2937993040929238, 0.06740755493613496, 0.26056694242589434, 0.02822039165030951, 0.09210339899378261, -0.0009816058526008293, -0.046860402086000334, 0.13690318586973838, -0.08757925944552682, 0.1451544414191432, 0.19671737602858366, 0.1635403487531618, 0.22710829314069245, -0.4404347536245083, -0.19884615934229102, 0.17106840613929705, 0.14388840584266374, 0.15917029730633073, 0.03822139396342909, -0.24209117757734552, 0.15754535569456116, -0.16174392508969765, -0.07126930954427212, -0.05968415996209643, -0.002688558504584877, 0.08857796966344461, -0.2796739681186315, -0.014062726516918889, 0.01664942738482322, 0.03305397115262418, 0.026761119034483857, -0.12884734196310071, 0.028675462829816187, 0.2029476621681316, -0.03787806272324731, 0.03815193786874585, 0.08953233850563223, -0.16788443747093973, -0.21497116957245202, 0.328523354776118, -0.03929970894094514, -0.16741379649089327, 0.13831165916789537, -0.10363491259558105, -0.18596718566299514, 0.15173122074305154, 0.25152086151828024, 0.1584754936000996, -0.12852863519838556, 0.026674578472136938, -0.05609643574397283, 0.11058474851145955, 0.03385992416705208, -0.02349011503673833, 0.13424431262858982, 0.1979332831607939, 0.09387861516048339, 0.21924439995501446, -0.11626760264987061, -0.114104249060352, -0.2463163451195277, -0.10113525696783915, -0.18054321785082764, 0.018703775111072022, -0.1643225940676331, -0.2043374072942326, 0.42393277636889753, 0.16246195131613092, 0.2619018768570546, 0.17362080475893513, 0.2855845458976839, 0.07946693265660741, 0.08768563620992348, 0.13933866381666613, 0.12493226239350678, 0.17973505525753417, 0.07555439946744805, -0.17475683150556068, 0.06126971125345806, 0.0834965259746659] |
709.1447 | Simple Finite Non-Abelian Flavor Groups | The recently measured unexpected neutrino mixing patterns have caused a
resurgence of interest in the study of finite flavor groups with two- and
three-dimensional irreducible representations. This paper details the
mathematics of the two finite simple groups with such representations, the
Icosahedral group A_5, a subgroup of SO(3), and PSL_2(7), a subgroup of SU(3).
| hep-th hep-ph | the recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two and threedimensional irreducible representations this paper details the mathematics of the two finite simple groups with such representations the icosahedral group a_5 a subgroup of so3 and psl_27 a subgroup of su3 | [['the', 'recently', 'measured', 'unexpected', 'neutrino', 'mixing', 'patterns', 'have', 'caused', 'a', 'resurgence', 'of', 'interest', 'in', 'the', 'study', 'of', 'finite', 'flavor', 'groups', 'with', 'two', 'and', 'threedimensional', 'irreducible', 'representations', 'this', 'paper', 'details', 'the', 'mathematics', 'of', 'the', 'two', 'finite', 'simple', 'groups', 'with', 'such', 'representations', 'the', 'icosahedral', 'group', 'a_5', 'a', 'subgroup', 'of', 'so3', 'and', 'psl_27', 'a', 'subgroup', 'of', 'su3']] | [-0.1670329159953528, 0.2063484043917722, -0.11350798737947587, 0.041705259699719374, -0.09804813594867785, -0.07844917263503669, 0.027570250877437905, 0.3701257703618871, -0.2782392836417313, -0.25668015731153665, 0.12685130675176712, -0.25354815229635547, -0.15090262303473773, 0.1193776459398645, -0.05120699931177552, -0.036765853335425536, 0.016550597838229604, 0.08403627712417532, -0.14756860925505558, -0.2384763097528506, 0.33553679404711284, -0.07838908044828309, 0.2915731837942817, -0.006344893973113762, 0.1211638916887481, -0.04048290029513063, -0.08530945500738367, -0.05546483314699597, -0.056713715212902534, 0.13651038462261636, 0.26429014054506467, -0.0047786069378532746, 0.1748178970258407, -0.3650976286304218, -0.1848205252447062, 0.21989374314607293, 0.1711824887121717, 0.09344876736954406, -0.1354166960550679, -0.32964545488357544, 0.05825166950968129, -0.2658432461062653, -0.14427006213615337, -0.0457455777666635, 0.04055204107943508, -0.06141697011812371, -0.17383615700183092, 0.034311464297826645, 0.04344230486700932, 0.18239587948968014, 0.0014242419490107783, -0.1362613530708822, -0.037765835196262705, 0.1324004360250439, 0.11986890600787269, -0.008043696823598886, 0.06416719727200905, -0.12615662230678867, -0.15383804172139476, 0.4774170480668545, -0.021545502516716993, -0.1795586146828201, 0.16624760989927584, -0.19737476036297502, -0.2539617790047217, 0.11111599396638296, 0.15223893355923118, 0.09279187864417003, -0.08138798062551629, 0.15467863866015924, -0.16976769985976042, 0.07606069287026508, 0.04876125064092102, -0.021228167599205067, 0.14346104687838643, 0.1484614184139193, 0.00605755591230398, 0.07856997285098596, 0.016040444382707828, 0.029847239075159585, -0.33987085666093564, -0.13144921528658382, -0.07920342919209765, 0.06214854454069778, -0.12289289962791372, -0.17763155948961395, 0.49713907087290726, 0.018858667187116766, 0.15349751155008562, 0.023908151908674173, 0.18173038680106401, 0.021190616785100213, 0.0742596715895666, 0.04229589127418068, 0.10302140192922067, 0.2520026760175824, -0.07555565012067005, -0.2562977146288311, -0.02767283094322516, 0.1754619076123668] |
709.1448 | A few remarks concerning complex-analytic metric spaces | The special case of closed subsets of C^n is briefly discussed.
| math.AT | the special case of closed subsets of cn is briefly discussed | [['the', 'special', 'case', 'of', 'closed', 'subsets', 'of', 'cn', 'is', 'briefly', 'discussed']] | [-0.22436502745205705, 0.09233042970299721, 0.16130753606557846, 0.12652770706071434, -0.010819564488801088, -0.1295332945883274, 0.008328769525343721, 0.3853633837266402, -0.18824303488839755, -0.027245442298325626, 0.13269435411149805, -0.23076460893604567, -0.15441050359301947, 0.21967767314477402, -0.1267021159556779, -0.057710371911525726, 0.04194792529398745, 0.14999294179407033, -0.08972789956764742, -0.35060299797491595, 0.431109873408621, -0.010132421146739613, 0.20893185653469779, 0.08750016386197372, 0.0029413812709125605, -0.014186769004233858, -0.057862306013703346, 0.058514031835577705, -0.17401216280731288, 0.07046406250447035, 0.29020871222019196, 0.20478811385956677, 0.17060187069529836, -0.3821920354596593, -0.17339515347372403, 0.14619378982619805, 0.14882066862826998, -0.010187756608832966, -0.013897010548548265, -0.26651861872100696, 0.025422419506040485, -0.07052597843787888, -0.2769289573823864, 0.02393447755920616, 0.14627018621699375, 0.13204774429852312, -0.14755399118770252, -0.055653797631913964, 0.09463154930960048, 0.08185089684345505, -0.09203340598932383, -0.2600943480025638, -0.008189399811354551, 0.030438150533220985, 0.09045333099890161, 0.048650981138714335, 0.06926254318519072, 0.03790922255509279, -0.042185495353557846, 0.4707918079061942, -0.030558588321913372, -0.28592848032712936, 0.12042437857863578, -0.18704098674722694, -0.2720176719806411, 0.040953378161330795, 0.06219047758812932, 0.19787057980217718, -0.11469174244187096, 0.2406226315281608, -0.14296442879871887, -0.019422296265309506, 0.09894629076800564, 0.07652662829919295, 0.09764801626178352, 0.20210748131979595, -0.022213344970210033, 0.28722239353440027, -0.060786060988903046, -0.13723959502848712, -0.470394722440026, -0.16829063641754063, -0.09955021891404282, 0.041765426116233524, -0.10379761525175789, -0.16862557591362434, 0.36386068842627783, -0.04961134899746288, 0.1735912638039074, -0.054574335501952606, 0.23222096721557053, 0.1296637041324919, -0.0672589249654927, 0.042777684051543474, 0.1525016227229075, 0.2299680316990072, -0.052503192966634575, -0.1654864099638706, -0.0028813263740051875, 0.07980944129469042] |
709.1449 | Supervised secure entanglement sharing for faithful quantum
teleportation via tripartite W states | We present a supervised secure entanglement sharing protocol via tripartite W
states for faithful quantum teleportation. By guaranteeing a secure
entanglement distribution in the charge of a third believed supervisor, quantum
information of an unknown state of a 2-level particle can be faithfully
teleported from the sender to the remote receiver via the Bell states distilled
from the tripartite W states. We emphasize that reliable teleportation after
our protocol between two communication parties depends on the agreement of the
supervisor to cooperate via taking the W states as both the quantum channel and
eavesdropping detector. The security against typical individual eavesdropping
attacks is proved and its experimental feasibility is briefly illustrated.
| quant-ph cs.CR | we present a supervised secure entanglement sharing protocol via tripartite w states for faithful quantum teleportation by guaranteeing a secure entanglement distribution in the charge of a third believed supervisor quantum information of an unknown state of a 2level particle can be faithfully teleported from the sender to the remote receiver via the bell states distilled from the tripartite w states we emphasize that reliable teleportation after our protocol between two communication parties depends on the agreement of the supervisor to cooperate via taking the w states as both the quantum channel and eavesdropping detector the security against typical individual eavesdropping attacks is proved and its experimental feasibility is briefly illustrated | [['we', 'present', 'a', 'supervised', 'secure', 'entanglement', 'sharing', 'protocol', 'via', 'tripartite', 'w', 'states', 'for', 'faithful', 'quantum', 'teleportation', 'by', 'guaranteeing', 'a', 'secure', 'entanglement', 'distribution', 'in', 'the', 'charge', 'of', 'a', 'third', 'believed', 'supervisor', 'quantum', 'information', 'of', 'an', 'unknown', 'state', 'of', 'a', '2level', 'particle', 'can', 'be', 'faithfully', 'teleported', 'from', 'the', 'sender', 'to', 'the', 'remote', 'receiver', 'via', 'the', 'bell', 'states', 'distilled', 'from', 'the', 'tripartite', 'w', 'states', 'we', 'emphasize', 'that', 'reliable', 'teleportation', 'after', 'our', 'protocol', 'between', 'two', 'communication', 'parties', 'depends', 'on', 'the', 'agreement', 'of', 'the', 'supervisor', 'to', 'cooperate', 'via', 'taking', 'the', 'w', 'states', 'as', 'both', 'the', 'quantum', 'channel', 'and', 'eavesdropping', 'detector', 'the', 'security', 'against', 'typical', 'individual', 'eavesdropping', 'attacks', 'is', 'proved', 'and', 'its', 'experimental', 'feasibility', 'is', 'briefly', 'illustrated']] | [-0.19384755183699298, 0.1503622574105844, -0.10321131568435613, 0.04068229356067473, 0.05196375021845236, -0.3464319261906853, 0.12723148755964125, 0.34238035011583484, -0.2508141208155713, -0.24773583660187484, 0.05178759554883482, -0.28751309031436034, -0.06854503034605636, 0.1655715723838741, -0.116446113792827, 0.15176599700924698, 0.0756122086801239, 0.06312548851611109, -0.0023322627724458775, -0.28306602626653005, 0.33330155351945945, 0.06228669540776225, 0.3378280857011575, 0.039377169960455316, 0.10276426673606709, 0.06475439953810729, 0.020330198360858736, -0.109310737240489, -0.06807545453619666, 0.06590793736337743, 0.32123874297348765, 0.21243990004389873, 0.2731937660063776, -0.403159771349516, -0.17203773084927249, 0.10299189735271104, 0.10349866100964514, 0.19036774625917813, -0.04508513876400586, -0.4367812641367719, 0.030478323870632158, -0.27062386507587927, -0.023800152471406502, -0.04747968563927455, -0.04234240675630333, -0.05975049911989822, -0.27429726883362104, 0.05586700641491392, 0.019242743328045885, 0.023473278048809047, 0.03010195271774858, 0.005635146664136702, -0.05755051346034282, 0.1801612400407861, -0.09395051363075303, -0.027184347478412762, 0.19271708487507863, -0.12661309370368318, -0.2111098549857333, 0.3191068300113149, 0.0011669861064670054, -0.1949278560660041, 0.14016456076474693, -0.04207406061709867, -0.07171707768161018, 0.046170179362970964, 0.11874720188243701, 0.06660289410291961, -0.13482774498763386, -0.002350741289430172, -0.045737831182106656, 0.21916846136839405, 0.019763623683100886, 0.17891939895101436, 0.15256110222817207, 0.09384452453436884, 0.1046553309922954, 0.203753704044691, -0.051676667343640514, -0.13881797954305872, -0.33527463659128126, -0.22310786991724157, -0.3164692229238918, 0.08288557463333951, -0.040816834263308475, -0.015810759620623546, 0.4081841896766344, 0.12565091451596436, 0.11657752117314082, 0.022723546696340177, 0.3526528358694401, 0.014809417483807952, -0.000808125483459449, 0.13655798522512186, 0.2833674233008243, 0.168783783714438, 0.06416286385056001, -0.23621223524196056, 0.1680336301466702, -0.008246061507495003] |
709.145 | Computer simulation of the critical behavior of 3D disordered Ising
model | The critical behavior of the disordered ferromagnetic Ising model is studied
numerically by the Monte Carlo method in a wide range of variation of
concentration of nonmagnetic impurity atoms. The temperature dependences of
correlation length and magnetic susceptibility are determined for samples with
various spin concentrations and various linear sizes. The finite-size scaling
technique is used for obtaining scaling functions for these quantities, which
exhibit a universal behavior in the critical region; the critical temperatures
and static critical exponents are also determined using scaling corrections. On
the basis of variation of the scaling functions and values of critical
exponents upon a change in the concentration, the conclusion is drawn
concerning the existence of two universal classes of the critical behavior of
the diluted Ising model with different characteristics for weakly and strongly
disordered systems.
| cond-mat.dis-nn cond-mat.stat-mech | the critical behavior of the disordered ferromagnetic ising model is studied numerically by the monte carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms the temperature dependences of correlation length and magnetic susceptibility are determined for samples with various spin concentrations and various linear sizes the finitesize scaling technique is used for obtaining scaling functions for these quantities which exhibit a universal behavior in the critical region the critical temperatures and static critical exponents are also determined using scaling corrections on the basis of variation of the scaling functions and values of critical exponents upon a change in the concentration the conclusion is drawn concerning the existence of two universal classes of the critical behavior of the diluted ising model with different characteristics for weakly and strongly disordered systems | [['the', 'critical', 'behavior', 'of', 'the', 'disordered', 'ferromagnetic', 'ising', 'model', 'is', 'studied', 'numerically', 'by', 'the', 'monte', 'carlo', 'method', 'in', 'a', 'wide', 'range', 'of', 'variation', 'of', 'concentration', 'of', 'nonmagnetic', 'impurity', 'atoms', 'the', 'temperature', 'dependences', 'of', 'correlation', 'length', 'and', 'magnetic', 'susceptibility', 'are', 'determined', 'for', 'samples', 'with', 'various', 'spin', 'concentrations', 'and', 'various', 'linear', 'sizes', 'the', 'finitesize', 'scaling', 'technique', 'is', 'used', 'for', 'obtaining', 'scaling', 'functions', 'for', 'these', 'quantities', 'which', 'exhibit', 'a', 'universal', 'behavior', 'in', 'the', 'critical', 'region', 'the', 'critical', 'temperatures', 'and', 'static', 'critical', 'exponents', 'are', 'also', 'determined', 'using', 'scaling', 'corrections', 'on', 'the', 'basis', 'of', 'variation', 'of', 'the', 'scaling', 'functions', 'and', 'values', 'of', 'critical', 'exponents', 'upon', 'a', 'change', 'in', 'the', 'concentration', 'the', 'conclusion', 'is', 'drawn', 'concerning', 'the', 'existence', 'of', 'two', 'universal', 'classes', 'of', 'the', 'critical', 'behavior', 'of', 'the', 'diluted', 'ising', 'model', 'with', 'different', 'characteristics', 'for', 'weakly', 'and', 'strongly', 'disordered', 'systems']] | [-0.13265540077370147, 0.2167718585114926, -0.0610065610328717, 0.056448029843332775, 0.029660145098816103, -0.14371795611414337, 0.05293812125281834, 0.33254657469780197, -0.23444664748663555, -0.2918100026783659, 0.06674944250166777, -0.3249985591452847, -0.11254646058312492, 0.23967010402398656, 0.09543198613087654, 0.12065328254006931, -0.07708091356221643, 0.0029572912143480813, -0.1356506845983329, -0.2056855734354302, 0.34008807569408595, 0.01006719406082559, 0.34245006085387364, 0.08290738335101684, 0.03294957131008381, 0.024347677694828207, 0.08602799296226185, 0.08545488732825242, -0.19550171916706682, 0.051252544607355524, 0.2041056720112492, -0.022816495313100628, 0.18605075115615974, -0.3391453396640162, -0.23067262611671616, 0.08147121368170675, 0.14627537950908126, 0.09585511173840973, -0.036441834964928456, -0.23940891177226692, 0.07328093439034784, -0.11694223278396722, -0.16439407528725578, -0.07782053826515799, 0.03246499670880874, 0.09682513129334452, -0.27416113000224107, 0.13519225942831897, 0.04099659566114198, 0.13558951542198436, -0.08051674245550895, -0.1274693247118492, -0.013506911974747791, 0.16524947683132296, 0.05868329304538028, -0.006094665729628403, 0.1866099237075159, -0.14712013144379676, -0.07995827476026615, 0.30991247145514655, -0.014199397596183107, -0.16377222018947116, 0.19624983833810844, -0.18933482715206693, -0.12642417475407414, 0.1412331247823869, 0.1409114404657939, 0.10590107382775577, -0.15150295630264193, 0.08507077521323088, 0.0003770340413008052, 0.17727984782002532, -0.01780163545383891, 0.03238291801787468, 0.20442430741751372, 0.16845903881658703, 0.004822586218256559, 0.18234394675593324, -0.08264914487745724, -0.15598375644924037, -0.2560650852105733, -0.10563473447239888, -0.2236785941562657, 0.033361470305930764, -0.19181399497343835, -0.2410292832403263, 0.39892655722762166, 0.18462513200243685, 0.21926001122276953, 0.06439982546726242, 0.1744642302171508, 0.15730800207551401, 0.05340133757163673, 0.037281488773843914, 0.21609020488920497, 0.16307699131178183, 0.11652300859203757, -0.2795607761806572, 0.10113435188211056, 0.08043468059666121] |
709.1451 | Experimentally Constrained Molecular Relaxation: The case of
hydrogenated amorphous silicon | We have extended our experimentally constrained molecular relaxation
technique (P. Biswas {\it et al}, Phys. Rev. B {\bf 71} 54204 (2005)) to
hydrogenated amorphous silicon: a 540-atom model with 7.4 % hydrogen and a
611-atom model with 22 % hydrogen were constructed. Starting from a random
configuration, using physically relevant constraints, {\it ab initio}
interactions and the experimental static structure factor, we construct
realistic models of hydrogenated amorphous silicon. Our models confirm the
presence of a high frequency localized band in the vibrational density of
states due to Si-H vibration that has been observed in a recent vibrational
transient grating measurements on plasma enhanced chemical vapor deposited
films of hydrogenated amorphous silicon.
| cond-mat.mtrl-sci cond-mat.dis-nn | we have extended our experimentally constrained molecular relaxation technique p biswas it et al phys rev b bf 71 54204 2005 to hydrogenated amorphous silicon a 540atom model with 74 hydrogen and a 611atom model with 22 hydrogen were constructed starting from a random configuration using physically relevant constraints it ab initio interactions and the experimental static structure factor we construct realistic models of hydrogenated amorphous silicon our models confirm the presence of a high frequency localized band in the vibrational density of states due to sih vibration that has been observed in a recent vibrational transient grating measurements on plasma enhanced chemical vapor deposited films of hydrogenated amorphous silicon | [['we', 'have', 'extended', 'our', 'experimentally', 'constrained', 'molecular', 'relaxation', 'technique', 'p', 'biswas', 'it', 'et', 'al', 'phys', 'rev', 'b', 'bf', '71', '54204', '2005', 'to', 'hydrogenated', 'amorphous', 'silicon', 'a', '540atom', 'model', 'with', '74', 'hydrogen', 'and', 'a', '611atom', 'model', 'with', '22', 'hydrogen', 'were', 'constructed', 'starting', 'from', 'a', 'random', 'configuration', 'using', 'physically', 'relevant', 'constraints', 'it', 'ab', 'initio', 'interactions', 'and', 'the', 'experimental', 'static', 'structure', 'factor', 'we', 'construct', 'realistic', 'models', 'of', 'hydrogenated', 'amorphous', 'silicon', 'our', 'models', 'confirm', 'the', 'presence', 'of', 'a', 'high', 'frequency', 'localized', 'band', 'in', 'the', 'vibrational', 'density', 'of', 'states', 'due', 'to', 'sih', 'vibration', 'that', 'has', 'been', 'observed', 'in', 'a', 'recent', 'vibrational', 'transient', 'grating', 'measurements', 'on', 'plasma', 'enhanced', 'chemical', 'vapor', 'deposited', 'films', 'of', 'hydrogenated', 'amorphous', 'silicon']] | [-0.06077183055186592, 0.14910413954781246, -0.03482133146020732, -0.09005018578250414, 0.018696994964625235, -0.14317251580863077, 0.10478955190672287, 0.45209585993211265, -0.17612388881824248, -0.3408178567002902, -0.016512317132535523, -0.2888468188172746, -0.13787339844035906, 0.10545292834829643, 0.022514529743832404, 0.07773019683168696, 0.0330689808649716, -0.16205841948269545, -0.04495744836064073, -0.21524023583537472, 0.14224514918767403, 0.10808305404471041, 0.2884668944246858, 0.053681422773504926, 0.02762592402852584, -0.04226708289879923, 0.021286467314375754, -0.0069440396537429816, -0.2049684274566189, 0.09548485906583597, 0.2404052706914176, -0.05935466619835139, 0.18090912810892354, -0.48974020263859047, -0.2878739479885689, 0.013720992251917303, 0.044896602915669576, 0.15414097196657525, -0.036088832380972526, -0.2950369442908842, 0.03920045116193871, -0.18461118543642424, -0.10874324261045484, -0.08117591733957215, 0.10667721365761255, -0.016940674848993805, -0.26097697660024494, 0.12711755029648264, -0.005843882283596235, 0.05330566099026702, -0.12923725230279856, -0.17055089302169524, -0.12051165100865971, -0.05526295437033628, -0.08827374040619165, 0.05396640775115969, 0.2544549203621415, -0.01173233063717451, -0.09649431716898788, 0.3897744695368771, -0.08971232519850622, -0.06263404335852747, 0.2556492502879456, -0.1299603665682757, -0.1376357028939735, 0.2029754050559077, 0.1060017154630378, 0.13498190827406595, -0.15596907483261496, 0.09902197505438823, -0.06915125173459996, 0.1968078633387373, 0.1049450835578631, 0.048946042349844926, 0.1826739204899521, 0.20681542907536865, -0.06921547088362973, 0.12596433319882533, -0.1463383741885702, -0.02215428075320131, -0.17184803841165572, -0.12562767820863627, -0.22114999282443634, 0.10039829140285327, -0.033770589053219564, -0.18195021499783914, 0.3690538667664628, 0.09759673477959967, 0.1595415086050248, -0.07964614170133441, 0.21502567716726215, 0.05173831476686331, 0.030232186872559973, 0.060744719988901484, 0.2962983814024619, 0.22625119113102207, 0.09185054406924086, -0.22891283111709876, 0.05382739367490095, -0.02957033506098473] |
709.1452 | Pure Spinors on Lie groups | For any manifold M, the direct sum TM \oplus T*M carries a natural inner
product given by the pairing of vectors and covectors. Differential forms on M
may be viewed as spinors for the corresponding Clifford bundle, and in
particular there is a notion of \emph{pure spinor}.
In this paper, we study pure spinors and Dirac structures in the case when
M=G is a Lie group with a bi-invariant pseudo-Riemannian metric, e.g. G
semi-simple. The applications of our theory include the construction of
distinguished volume forms on conjugacy classes in G, and a new approach to the
theory of quasi-Hamiltonian G-spaces.
| math.DG math.SG | for any manifold m the direct sum tm oplus tm carries a natural inner product given by the pairing of vectors and covectors differential forms on m may be viewed as spinors for the corresponding clifford bundle and in particular there is a notion of emphpure spinor in this paper we study pure spinors and dirac structures in the case when mg is a lie group with a biinvariant pseudoriemannian metric eg g semisimple the applications of our theory include the construction of distinguished volume forms on conjugacy classes in g and a new approach to the theory of quasihamiltonian gspaces | [['for', 'any', 'manifold', 'm', 'the', 'direct', 'sum', 'tm', 'oplus', 'tm', 'carries', 'a', 'natural', 'inner', 'product', 'given', 'by', 'the', 'pairing', 'of', 'vectors', 'and', 'covectors', 'differential', 'forms', 'on', 'm', 'may', 'be', 'viewed', 'as', 'spinors', 'for', 'the', 'corresponding', 'clifford', 'bundle', 'and', 'in', 'particular', 'there', 'is', 'a', 'notion', 'of', 'emphpure', 'spinor', 'in', 'this', 'paper', 'we', 'study', 'pure', 'spinors', 'and', 'dirac', 'structures', 'in', 'the', 'case', 'when', 'mg', 'is', 'a', 'lie', 'group', 'with', 'a', 'biinvariant', 'pseudoriemannian', 'metric', 'eg', 'g', 'semisimple', 'the', 'applications', 'of', 'our', 'theory', 'include', 'the', 'construction', 'of', 'distinguished', 'volume', 'forms', 'on', 'conjugacy', 'classes', 'in', 'g', 'and', 'a', 'new', 'approach', 'to', 'the', 'theory', 'of', 'quasihamiltonian', 'gspaces']] | [-0.20819562861677443, 0.10316180711321643, -0.05559948643687928, 0.04154079616655328, -0.1335525699835824, -0.10704925698792968, -0.014224016828010652, 0.34969319886352757, -0.2534798033129756, -0.2327370419083993, 0.048702082495288096, -0.2483161356632072, -0.18911803885372264, 0.18012161752541023, -0.09438355269814187, -0.07107833087545737, 0.052315233950733696, 0.14162842506118636, -0.1682352120480915, -0.23077074503917985, 0.4438713457859536, -0.020116900384315465, 0.22965837486254254, 0.0005944354625621645, 0.11829969848939541, 0.01951929171210026, 0.011612080885927276, 0.0026120044945711547, -0.09450375790348148, 0.13757637406395065, 0.29362952170690687, 0.09574569663952685, 0.18400534957942397, -0.3635735889265111, -0.1815429020849965, 0.14648739709564956, 0.08891021199613731, -0.016346263030709903, -0.0077530998243295615, -0.316377663097372, 0.07185352944519997, -0.167773547388687, -0.10870544713377805, -0.08391920762311778, 0.060414758782907585, -0.08062658581818168, -0.22556311956671352, 0.0038868002455202067, 0.11202383048297597, 0.09505580767694086, -0.06797379748849659, -0.12065476414258822, -0.0880180092823535, 0.048279973483785044, -0.017466291762187634, 0.04163054253048457, 0.10069405671559495, -0.043345704405006055, -0.1421430372831292, 0.4390375125636854, -0.11511737447563965, -0.2876317662896939, 0.12601911668472066, -0.13768992550431355, -0.14756813333692528, 0.06782542526869491, 0.13853521965038362, 0.17377070066666617, -0.032546328152916026, 0.18854182018750892, -0.12256534962850336, 0.04481972537768802, 0.08565453855818746, -0.003825814417093107, 0.17570580927526006, 0.10721967652403187, 0.11613355196625141, 0.08373578809406886, 0.042271358661796196, -0.014011275080853317, -0.3734193143462486, -0.2768485832266108, -0.12745205456584618, 0.15487467785974465, -0.10980971417381742, -0.1796815470598712, 0.3902322747514094, 0.004018118827474663, 0.19455864563086392, 0.039947000576533595, 0.20507683438977392, 0.0789756126803263, 0.08468474018949979, 0.06705406364422328, 0.1450503335292866, 0.2651473608647132, -0.005365289632452301, -0.13676266625781755, -0.07623115093516426, 0.1527872314436896] |
709.1453 | Remodeling the B-model | We propose a complete, new formalism to compute unambiguously B-model open
and closed amplitudes in local Calabi-Yau geometries, including the mirrors of
toric manifolds. The formalism is based on the recursive solution of matrix
models recently proposed by Eynard and Orantin. The resulting amplitudes are
non-perturbative in both the closed and the open moduli. The formalism can then
be used to study stringy phase transitions in the open/closed moduli space. At
large radius, this formalism may be seen as a mirror formalism to the
topological vertex, but it is also valid in other phases in the moduli space.
We develop the formalism in general and provide an extensive number of checks,
including a test at the orbifold point of A_p fibrations, where the amplitudes
compute the 't Hooft expansion of Wilson loops in lens spaces. We also use our
formalism to predict the disk amplitude for the orbifold C^3/Z_3.
| hep-th math.AG | we propose a complete new formalism to compute unambiguously bmodel open and closed amplitudes in local calabiyau geometries including the mirrors of toric manifolds the formalism is based on the recursive solution of matrix models recently proposed by eynard and orantin the resulting amplitudes are nonperturbative in both the closed and the open moduli the formalism can then be used to study stringy phase transitions in the openclosed moduli space at large radius this formalism may be seen as a mirror formalism to the topological vertex but it is also valid in other phases in the moduli space we develop the formalism in general and provide an extensive number of checks including a test at the orbifold point of a_p fibrations where the amplitudes compute the t hooft expansion of wilson loops in lens spaces we also use our formalism to predict the disk amplitude for the orbifold c3z_3 | [['we', 'propose', 'a', 'complete', 'new', 'formalism', 'to', 'compute', 'unambiguously', 'bmodel', 'open', 'and', 'closed', 'amplitudes', 'in', 'local', 'calabiyau', 'geometries', 'including', 'the', 'mirrors', 'of', 'toric', 'manifolds', 'the', 'formalism', 'is', 'based', 'on', 'the', 'recursive', 'solution', 'of', 'matrix', 'models', 'recently', 'proposed', 'by', 'eynard', 'and', 'orantin', 'the', 'resulting', 'amplitudes', 'are', 'nonperturbative', 'in', 'both', 'the', 'closed', 'and', 'the', 'open', 'moduli', 'the', 'formalism', 'can', 'then', 'be', 'used', 'to', 'study', 'stringy', 'phase', 'transitions', 'in', 'the', 'openclosed', 'moduli', 'space', 'at', 'large', 'radius', 'this', 'formalism', 'may', 'be', 'seen', 'as', 'a', 'mirror', 'formalism', 'to', 'the', 'topological', 'vertex', 'but', 'it', 'is', 'also', 'valid', 'in', 'other', 'phases', 'in', 'the', 'moduli', 'space', 'we', 'develop', 'the', 'formalism', 'in', 'general', 'and', 'provide', 'an', 'extensive', 'number', 'of', 'checks', 'including', 'a', 'test', 'at', 'the', 'orbifold', 'point', 'of', 'a_p', 'fibrations', 'where', 'the', 'amplitudes', 'compute', 'the', 't', 'hooft', 'expansion', 'of', 'wilson', 'loops', 'in', 'lens', 'spaces', 'we', 'also', 'use', 'our', 'formalism', 'to', 'predict', 'the', 'disk', 'amplitude', 'for', 'the', 'orbifold', 'c3z_3']] | [-0.13564856676541068, 0.11317517575051951, -0.13497961198304773, 0.13463703017672463, -0.06960626386243525, -0.11502539608065014, 0.0243638320825994, 0.3394896572568273, -0.2339037514397962, -0.26000562340846195, 0.07800814158192541, -0.2152187232515656, -0.1818225759381566, 0.16687290345149852, -0.08763689154621539, 0.03672851499595098, 0.012900993549858764, 0.016213543850017536, -0.1168908276438913, -0.26137289378617035, 0.37666376826397124, -0.01210557650962232, 0.24111068473766314, 0.09470960210646259, 0.08032987181459797, 0.00740154227476267, -0.024859219992645835, 0.018958988327192356, -0.14678360193955317, 0.10681813861080915, 0.27388807151251454, 0.07432126256030978, 0.09304678860126726, -0.4403431220292645, -0.18201105214730406, 0.08802828590710642, 0.13848906078832163, 0.12391317983301695, 0.04341111077861423, -0.27437987241068945, 0.060059375035882795, -0.1494710277953504, -0.19616753697682848, -0.12784482818253137, 0.04386085524355005, -0.052905102411985094, -0.22669056119809813, -0.019097999348102024, -0.0007810938897098871, 0.022557845287221864, -0.03653404564321691, -0.06765455077089769, -0.062168909375862086, 0.09602682026190645, 0.024344768100136877, 0.08769711170301792, 0.08332240885598648, -0.1235718503266248, -0.12191388905735924, 0.34735574274036357, -0.06554893488626952, -0.20738269677604454, 0.0992938028101578, -0.1450912340829538, -0.1756238712516657, 0.11476906680207248, 0.13355180273463813, 0.2016296044317068, -0.10174886193501469, 0.1832773931646382, -0.03553525248586181, 0.0756991106523404, 0.07953424391105471, 0.017778877961533705, 0.22309824046460075, 0.11494621108348588, 0.004472025512286381, 0.16408590056922523, -0.07778462426480681, -0.11258181025963214, -0.39956346650970415, -0.1571787704089131, -0.10909510859532044, 0.07245186260345098, -0.13140729761287107, -0.19774537735412384, 0.386688350199803, 0.11699480174719544, 0.21567872491033885, 0.07582998194813029, 0.25986486980879064, 0.09428495902180571, 0.08044197396750268, 0.0631650904468542, 0.2200430382118129, 0.18060944748154822, 0.053413378090684416, -0.21970140543335037, -0.06305237612593294, 0.1905023631852295] |
709.1454 | Oligarchic planetesimal accretion and giant planet formation | Aims. In the context of the core instability model, we present calculations
of in situ giant planet formation. The oligarchic growth regime of solid
protoplanets is the model adopted for the growth of the core. Methods. The full
differential equations of giant planet formation were numerically solved with
an adaptation of a Henyey-type code. The planetesimals accretion rate was
coupled in a self-consistent way to the envelope's evolution. Results. We
performed several simulations for the formation of a Jupiter-like object by
assuming various surface densities for the protoplanetary disc and two
different sizes for the accreted planetesimals. We find that the atmospheric
gas drag gives rise to a major enhancement on the effective capture radius of
the protoplanet, thus leading to an average timescale reduction of 30% -- 55%
and ultimately to an increase by a factor of 2 of the final mass of solids
accreted as compared to the situation in which drag effects are neglected. With
regard to the size of accreted planetesimals, we find that for a swarm of
planetesimals having a radius of 10 km, the formation time is a factor 2 to 3
shorter than that of planetesimals of 100 km, the factor depending on the
surface density of the nebula. Moreover, planetesimal size does not seem to
have a significant impact on the final mass of the core.
| astro-ph | aims in the context of the core instability model we present calculations of in situ giant planet formation the oligarchic growth regime of solid protoplanets is the model adopted for the growth of the core methods the full differential equations of giant planet formation were numerically solved with an adaptation of a henyeytype code the planetesimals accretion rate was coupled in a selfconsistent way to the envelopes evolution results we performed several simulations for the formation of a jupiterlike object by assuming various surface densities for the protoplanetary disc and two different sizes for the accreted planetesimals we find that the atmospheric gas drag gives rise to a major enhancement on the effective capture radius of the protoplanet thus leading to an average timescale reduction of 30 55 and ultimately to an increase by a factor of 2 of the final mass of solids accreted as compared to the situation in which drag effects are neglected with regard to the size of accreted planetesimals we find that for a swarm of planetesimals having a radius of 10 km the formation time is a factor 2 to 3 shorter than that of planetesimals of 100 km the factor depending on the surface density of the nebula moreover planetesimal size does not seem to have a significant impact on the final mass of the core | [['aims', 'in', 'the', 'context', 'of', 'the', 'core', 'instability', 'model', 'we', 'present', 'calculations', 'of', 'in', 'situ', 'giant', 'planet', 'formation', 'the', 'oligarchic', 'growth', 'regime', 'of', 'solid', 'protoplanets', 'is', 'the', 'model', 'adopted', 'for', 'the', 'growth', 'of', 'the', 'core', 'methods', 'the', 'full', 'differential', 'equations', 'of', 'giant', 'planet', 'formation', 'were', 'numerically', 'solved', 'with', 'an', 'adaptation', 'of', 'a', 'henyeytype', 'code', 'the', 'planetesimals', 'accretion', 'rate', 'was', 'coupled', 'in', 'a', 'selfconsistent', 'way', 'to', 'the', 'envelopes', 'evolution', 'results', 'we', 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709.1455 | A Beale-Kato-Majda breakdown criterion for an Oldroyd-B fluid in the
creeping flow regime | We derive a criterion for the breakdown of solutions to the Oldroyd-B model
in $\R^3$ in the limit of zero Reynolds number (creeping flow). If the initial
stress field is in the Sobolev space $H^m$, $m> 5/2$, then either a unique
solution exists within this space indefinitely, or, at the time where the
solution breaks down, the time integral of the $L^\infty$-norm of the stress
tensor must diverge. This result is analogous to the celebrated
Beale-Kato-Majda breakdown criterion for the inviscid Eluer equations of
incompressible fluids.
| math.AP math-ph math.MP | we derive a criterion for the breakdown of solutions to the oldroydb model in r3 in the limit of zero reynolds number creeping flow if the initial stress field is in the sobolev space hm m 52 then either a unique solution exists within this space indefinitely or at the time where the solution breaks down the time integral of the linftynorm of the stress tensor must diverge this result is analogous to the celebrated bealekatomajda breakdown criterion for the inviscid eluer equations of incompressible fluids | [['we', 'derive', 'a', 'criterion', 'for', 'the', 'breakdown', 'of', 'solutions', 'to', 'the', 'oldroydb', 'model', 'in', 'r3', 'in', 'the', 'limit', 'of', 'zero', 'reynolds', 'number', 'creeping', 'flow', 'if', 'the', 'initial', 'stress', 'field', 'is', 'in', 'the', 'sobolev', 'space', 'hm', 'm', '52', 'then', 'either', 'a', 'unique', 'solution', 'exists', 'within', 'this', 'space', 'indefinitely', 'or', 'at', 'the', 'time', 'where', 'the', 'solution', 'breaks', 'down', 'the', 'time', 'integral', 'of', 'the', 'linftynorm', 'of', 'the', 'stress', 'tensor', 'must', 'diverge', 'this', 'result', 'is', 'analogous', 'to', 'the', 'celebrated', 'bealekatomajda', 'breakdown', 'criterion', 'for', 'the', 'inviscid', 'eluer', 'equations', 'of', 'incompressible', 'fluids']] | [-0.19500402639763814, 0.11876042804625982, -0.12348886097726576, 0.03730383298414595, -0.04697679141536355, -0.10366430338472128, 0.0046153803739477604, 0.21282572982942358, -0.3092794027261655, -0.23532699736602167, 0.15688233543803695, -0.23762240808676272, -0.07686574471402256, 0.12106003664324388, -0.04400350685669657, 0.08028751428184264, 0.00970923021874007, 0.05718500250402619, -0.06305505088804399, -0.21558268753373447, 0.3089918238631285, -0.03101499608498724, 0.29513829565223526, 0.03107540502815562, 0.12525299558508457, -0.043730765274342366, 0.06514365862616721, 0.05377415853264906, -0.23126849155215656, -0.01508333691779305, 0.21019195677329075, 0.02507012631086742, 0.29780897380619803, -0.4466071525040795, -0.19584162737078525, 0.13355847602052723, 0.1491949672536815, 0.1052022319067927, 0.028347009743618614, -0.23038691219818944, 0.09287375597392812, -0.11408328753622139, -0.22432777639478446, -0.037673107830478864, 0.06791975948658278, 0.02114215371582438, -0.29480781934278855, 0.16701597804751467, 0.11612723589162616, 0.03405214702600942, -0.16271759302848401, -0.031696128324769875, -0.03769131095203407, 0.06904943020849982, 0.12439243195386714, 0.0712776234263883, 0.07587651144165326, -0.18021474205067053, -0.004635739063515383, 0.38791564743527596, -0.10981508231694427, -0.25429555423667327, 0.16615011346362094, -0.16574830252896336, -0.04940913126749151, 0.1759431513135924, 0.1389220298240509, 0.11031961914918878, -0.08683019045137745, 0.1193132292246446, -0.09557419176049092, 0.11622431839213651, 0.09330945366938763, -0.060717620295198525, 0.15055275592295564, 0.16619852630640655, 0.12824833384331535, 0.134541803346399, -0.08418586606926778, -0.0896340440164375, -0.38979903794825077, -0.22702280097805402, -0.1973855203236727, 0.11848865817574894, -0.13713155758074103, -0.1832518557963126, 0.3253591482746689, 0.10774128287208869, 0.13816471383701462, 0.09675026061561177, 0.2594353210989057, 0.1537244008251411, 0.015621533573550336, 0.1488427963655661, 0.27431448453708607, 0.13762893604032475, 0.15978472390595605, -0.21799773407333037, 0.0026911497390007273, 0.1818488583297414] |
709.1456 | Analysis of stochastic fluid queues driven by local time processes | We consider a stochastic fluid queue served by a constant rate server and
driven by a process which is the local time of a certain Markov process. Such a
stochastic system can be used as a model in a priority service system,
especially when the time scales involved are fast. The input (local time) in
our model is always singular with respect to the Lebesgue measure which in many
applications is ``close'' to reality. We first discuss how to rigorously
construct the (necessarily) unique stationary version of the system under some
natural stability conditions. We then consider the distribution of performance
steady-state characteristics, namely, the buffer content, the idle period and
the busy period. These derivations are much based on the fact that the inverse
of the local time of a Markov process is a L\'evy process (a subordinator)
hence making the theory of L\'evy processes applicable. Another important
ingredient in our approach is the Palm calculus coming from the point process
point of view.
| math.PR | we consider a stochastic fluid queue served by a constant rate server and driven by a process which is the local time of a certain markov process such a stochastic system can be used as a model in a priority service system especially when the time scales involved are fast the input local time in our model is always singular with respect to the lebesgue measure which in many applications is close to reality we first discuss how to rigorously construct the necessarily unique stationary version of the system under some natural stability conditions we then consider the distribution of performance steadystate characteristics namely the buffer content the idle period and the busy period these derivations are much based on the fact that the inverse of the local time of a markov process is a levy process a subordinator hence making the theory of levy processes applicable another important ingredient in our approach is the palm calculus coming from the point process point of view | [['we', 'consider', 'a', 'stochastic', 'fluid', 'queue', 'served', 'by', 'a', 'constant', 'rate', 'server', 'and', 'driven', 'by', 'a', 'process', 'which', 'is', 'the', 'local', 'time', 'of', 'a', 'certain', 'markov', 'process', 'such', 'a', 'stochastic', 'system', 'can', 'be', 'used', 'as', 'a', 'model', 'in', 'a', 'priority', 'service', 'system', 'especially', 'when', 'the', 'time', 'scales', 'involved', 'are', 'fast', 'the', 'input', 'local', 'time', 'in', 'our', 'model', 'is', 'always', 'singular', 'with', 'respect', 'to', 'the', 'lebesgue', 'measure', 'which', 'in', 'many', 'applications', 'is', 'close', 'to', 'reality', 'we', 'first', 'discuss', 'how', 'to', 'rigorously', 'construct', 'the', 'necessarily', 'unique', 'stationary', 'version', 'of', 'the', 'system', 'under', 'some', 'natural', 'stability', 'conditions', 'we', 'then', 'consider', 'the', 'distribution', 'of', 'performance', 'steadystate', 'characteristics', 'namely', 'the', 'buffer', 'content', 'the', 'idle', 'period', 'and', 'the', 'busy', 'period', 'these', 'derivations', 'are', 'much', 'based', 'on', 'the', 'fact', 'that', 'the', 'inverse', 'of', 'the', 'local', 'time', 'of', 'a', 'markov', 'process', 'is', 'a', 'levy', 'process', 'a', 'subordinator', 'hence', 'making', 'the', 'theory', 'of', 'levy', 'processes', 'applicable', 'another', 'important', 'ingredient', 'in', 'our', 'approach', 'is', 'the', 'palm', 'calculus', 'coming', 'from', 'the', 'point', 'process', 'point', 'of', 'view']] | [-0.1246688632492089, 0.10871238775099769, -0.1273752873537667, 0.07878046723385386, -0.04211824926914591, -0.13883740655569868, 0.0871485215717588, 0.36446119611236183, -0.34912177213665213, -0.22395111366887718, 0.16541763421987662, -0.2230964824359751, -0.13485581952034298, 0.18274323072171572, -0.0967483047283057, 0.09013016127106367, 0.046581647866828876, 0.08453113506265887, 0.003282786427404393, -0.22360612084298875, 0.3265117529469232, 0.07318931359120391, 0.2796779704520084, -0.009634266014450766, 0.11302283860947654, -0.010928998485376889, -0.031466891098358304, -0.02155431411722957, -0.09640889129567023, 0.06322554551403631, 0.21749467291643448, 0.11865291693388964, 0.3139099476238092, -0.4278544205946453, -0.19809890599413352, 0.12401466432845953, 0.1054155874372968, 0.07558325139495234, -0.03176456413895005, -0.27807386384599586, 0.07822710992768407, -0.15774841008877213, -0.13672716370660276, -0.02705978955932413, 0.02744444102705033, 0.055593404235939184, -0.29733799800389643, 0.03692697922162937, 0.08739524347651186, 0.010973552016146255, -0.06066451129207218, -0.0616916196766507, -0.0022697777374450006, 0.12868059951702668, 0.06851991415641158, 0.011356786404256568, 0.15690258942600904, -0.09080085402185267, -0.12168216608521161, 0.3838273731892872, -0.07612887973276278, -0.21966962460287368, 0.19040803722896132, -0.12244561469803254, -0.13990488100345388, 0.13075491722786065, 0.1683063628871671, 0.13880204885764133, -0.20018524363765733, 0.09807761082863153, -0.03139285794600393, 0.15362554957673913, 0.032105577919124204, 0.02524643051296924, 0.1787772909526459, 0.20208627878349614, 0.12161997744044514, 0.14255551843071412, -0.06049474926354984, -0.16888694064409443, -0.3096462765652122, -0.1818755411006736, -0.18189794813621452, 0.0653126588281752, -0.09031865680290414, -0.16814705202863975, 0.3832725075129984, 0.17149988704389243, 0.2030960933333545, 0.08544425547376952, 0.2793684373525056, 0.1858248761184796, -0.004094195406651124, 0.06914427175158352, 0.13255122735281474, 0.09029108312432513, 0.1468874840884272, -0.1663631655445153, 0.12860502880631072, 0.07316838412573844] |
709.1457 | What happens to geometric phase when spin-orbit interactions lift band
degeneracy? | Spin-orbit interaction lifts accidental band degeneracy. The geometric phase
gamma(C)=pi for circuits surrounding a line of such degeneracy cannot survive
completely unchanged. The change depends on how the spin is fixed during
adiabatic evolution. For spin fixed along the internal spin-orbit field,
gamma(C) decreases to zero as the circuit collapses around the line of lifted
degeneracy. For spin fixed along a perpendicular axis, the conical intersection
persists and gamma(C)=pi is unchanged.
| cond-mat.other | spinorbit interaction lifts accidental band degeneracy the geometric phase gammacpi for circuits surrounding a line of such degeneracy cannot survive completely unchanged the change depends on how the spin is fixed during adiabatic evolution for spin fixed along the internal spinorbit field gammac decreases to zero as the circuit collapses around the line of lifted degeneracy for spin fixed along a perpendicular axis the conical intersection persists and gammacpi is unchanged | [['spinorbit', 'interaction', 'lifts', 'accidental', 'band', 'degeneracy', 'the', 'geometric', 'phase', 'gammacpi', 'for', 'circuits', 'surrounding', 'a', 'line', 'of', 'such', 'degeneracy', 'can', 'not', 'survive', 'completely', 'unchanged', 'the', 'change', 'depends', 'on', 'how', 'the', 'spin', 'is', 'fixed', 'during', 'adiabatic', 'evolution', 'for', 'spin', 'fixed', 'along', 'the', 'internal', 'spinorbit', 'field', 'gammac', 'decreases', 'to', 'zero', 'as', 'the', 'circuit', 'collapses', 'around', 'the', 'line', 'of', 'lifted', 'degeneracy', 'for', 'spin', 'fixed', 'along', 'a', 'perpendicular', 'axis', 'the', 'conical', 'intersection', 'persists', 'and', 'gammacpi', 'is', 'unchanged']] | [-0.27191260880125423, 0.2298807549423405, -0.0036984888969787528, 0.04461169658295278, -0.0820625015501199, -0.16321516751777382, 0.05696040538272688, 0.3843678207269737, -0.31771748026034663, -0.28110129658265837, 0.054318482388875315, -0.24467987386243684, -0.05634484067559242, 0.13398768185371798, 0.00025663658577416623, -0.044450744188257625, -0.0009960197444472995, -0.023868310754187404, -0.19121328339512858, -0.16580696326813527, 0.3492464690868344, 0.025267235269503936, 0.26502915462478993, 0.08559477458475158, 0.08067523497156799, 0.05753514735260978, 0.11500734027608164, -0.010588895196893386, -0.0845701779638018, -0.046057064718167694, 0.16939115310170955, -0.0191895818138229, 0.16718904208391905, -0.41845682667834416, -0.13788136040259685, 0.08821016173543675, 0.2011473285300391, 0.1846444286272994, 0.015077049436513335, -0.21101324341392944, 0.014141163595819047, -0.13140813801437617, -0.24082504842164262, -0.024567244098787862, 0.030641610516301755, -0.04131878993606993, -0.15826210011395492, 0.06242353783122131, 0.14491894428751298, 0.10562309950057949, -0.05564119719368007, -0.07387826737748193, -0.20497600892558693, 0.13225520898454957, 0.0599128938346569, 0.11296777564233967, 0.2136511676279562, -0.10167714197720801, -0.08323630526262735, 0.35480648916480795, -0.09968107459800583, -0.14931660456848997, 0.11589581380997385, -0.13908040136364955, -0.11676217545089977, 0.22060327604413033, 0.08945202293938824, 0.05093002344614693, 0.0021779655079756464, 0.16570241523690388, 0.035915541060135836, 0.13253637882215635, 0.08255857529916934, -0.0021406775207391806, 0.3521255326324276, 0.07650587923292602, 0.14636455717097435, 0.12958006258122623, -0.12305450654655163, -0.12446555607020855, -0.2707110507280699, -0.13039176889163043, -0.22380813796605384, 0.11434892635214575, -0.08379993905026432, -0.1905356011087341, 0.42009395323693755, 0.1184324087774647, 0.2203797991387546, -0.013182210619561374, 0.27851387464574406, 0.12267177988209628, 0.06934436702036433, 0.04044470429154379, 0.28524178454120247, 0.1895126847284181, 0.029099903887669955, -0.34787141895919504, 0.07496183774034892, -0.03580609042130943] |
709.1458 | Hurwitz numbers, matrix models and enumerative geometry | We propose a new, conjectural recursion solution for Hurwitz numbers at all
genera. This conjecture is based on recent progress in solving type B
topological string theory on the mirrors of toric Calabi-Yau manifolds, which
we briefly review to provide some background for our conjecture. We show in
particular how this B-model solution, combined with mirror symmetry for the
one-leg, framed topological vertex, leads to a recursion relation for Hodge
integrals with three Hodge class insertions. Our conjecture in Hurwitz theory
follows from this recursion for the framed vertex in the limit of infinite
framing.
| math.AG hep-th | we propose a new conjectural recursion solution for hurwitz numbers at all genera this conjecture is based on recent progress in solving type b topological string theory on the mirrors of toric calabiyau manifolds which we briefly review to provide some background for our conjecture we show in particular how this bmodel solution combined with mirror symmetry for the oneleg framed topological vertex leads to a recursion relation for hodge integrals with three hodge class insertions our conjecture in hurwitz theory follows from this recursion for the framed vertex in the limit of infinite framing | [['we', 'propose', 'a', 'new', 'conjectural', 'recursion', 'solution', 'for', 'hurwitz', 'numbers', 'at', 'all', 'genera', 'this', 'conjecture', 'is', 'based', 'on', 'recent', 'progress', 'in', 'solving', 'type', 'b', 'topological', 'string', 'theory', 'on', 'the', 'mirrors', 'of', 'toric', 'calabiyau', 'manifolds', 'which', 'we', 'briefly', 'review', 'to', 'provide', 'some', 'background', 'for', 'our', 'conjecture', 'we', 'show', 'in', 'particular', 'how', 'this', 'bmodel', 'solution', 'combined', 'with', 'mirror', 'symmetry', 'for', 'the', 'oneleg', 'framed', 'topological', 'vertex', 'leads', 'to', 'a', 'recursion', 'relation', 'for', 'hodge', 'integrals', 'with', 'three', 'hodge', 'class', 'insertions', 'our', 'conjecture', 'in', 'hurwitz', 'theory', 'follows', 'from', 'this', 'recursion', 'for', 'the', 'framed', 'vertex', 'in', 'the', 'limit', 'of', 'infinite', 'framing']] | [-0.173735941711225, 0.07532583611380113, -0.12201671522404803, 0.1284000848444473, -0.1278157404035722, -0.17077059542858286, 0.040046046893602534, 0.27744208398814263, -0.2777430226805767, -0.263126455267009, 0.07283733606485551, -0.2406675714729844, -0.23858761871723752, 0.168740254919976, -0.18899397493683193, 0.03957864873503384, 0.06125043693341707, 0.018247438651374785, -0.0981393413716241, -0.332521477939659, 0.43017719660542514, -0.09312012826006762, 0.25674792504624316, 0.11540313357683389, 0.07604186160024255, 0.04344828393016206, -0.011334140530150187, -0.026729791566092325, -0.17687559152316107, 0.18251181265682373, 0.30447286366926213, 0.08378986525104234, 0.10933171455797396, -0.4532373453735521, -0.1317634756039632, 0.08700444328500644, 0.12447200001854646, 0.1167221669634608, -0.06321015072447297, -0.2227656022498482, 0.08307082067292772, -0.14737286467693353, -0.21237546034941548, -0.10680668607697283, 0.03847287105102288, -0.035389203891942375, -0.18098528737104252, -0.014803388881448068, 0.01730000023779116, 0.07312961890313187, -0.031438765661349816, -0.11296520246879051, -0.047314083615415975, 0.03210228958510255, 0.04871163237594852, 0.08772478538908457, -0.013944991106951707, -0.15794427466186645, -0.18736949818895052, 0.30811116062104704, -0.06132944631267731, -0.2282266690077162, 0.056801529780128285, -0.12378269209477462, -0.2980953501782527, 0.08294266864265266, 0.06709133888545789, 0.19171527849608347, -0.030942538184554953, 0.15751280649320076, -0.11447619903636606, 0.05414308989910703, 0.12726445529413852, 0.0213479086193011, 0.22818717790865584, 0.1353647261980529, 0.0626008919293159, 0.16420344126067662, -0.017972399044389787, -0.11090780183378803, -0.4006277620792389, -0.1877759904355595, -0.10069909654680248, 0.14820620097023876, -0.09880914635172015, -0.19869480394072048, 0.39662073874159864, 0.09344058344630819, 0.16963629278501396, 0.2027839970248016, 0.2113505180532995, 0.10143587014049683, 0.05586013184970637, 0.02911285085015391, 0.13482491718758338, 0.21196769686219724, 0.057953242594866373, -0.17871583182805856, -0.0705602315683408, 0.2831035414465556] |
709.1459 | The NICA/MPD Project at JINR (Dubna) | A new project of Nuclotron-based Ion Collider fAcility (NICA) and
Multi-Purpose Detector (MPD) is proposed at JINR (Dubna). Status of this
NICA/MPD project is outlined. Main system parameters and some construction
details are given.
| nucl-ex hep-ph nucl-th | a new project of nuclotronbased ion collider facility nica and multipurpose detector mpd is proposed at jinr dubna status of this nicampd project is outlined main system parameters and some construction details are given | [['a', 'new', 'project', 'of', 'nuclotronbased', 'ion', 'collider', 'facility', 'nica', 'and', 'multipurpose', 'detector', 'mpd', 'is', 'proposed', 'at', 'jinr', 'dubna', 'status', 'of', 'this', 'nicampd', 'project', 'is', 'outlined', 'main', 'system', 'parameters', 'and', 'some', 'construction', 'details', 'are', 'given']] | [-0.08168169078143205, 0.17504348326474428, -0.11546143003301147, 0.04555145690477837, -0.09368240963393713, -0.1945768831321723, -0.11070596525336013, 0.31574319587910876, -0.14444861298098283, -0.28021719953154817, 0.09380410318536793, -0.3179362196036998, 0.020933189699837172, 0.2332450541571769, -0.03563222631483393, 0.1278862402883961, 0.18516895374940598, -0.025262459927676794, -0.012403216103420538, -0.22511586755075874, 0.24545968630734613, 0.3609362556872999, 0.2531125764362514, 0.13191063269315398, 0.18153782717554884, 0.011154272122760578, -0.07140799250234575, -0.07992633755373604, -0.1395752412157462, 0.035261854276006276, 0.39532599094159465, 0.2558319617391509, 0.19772819569334388, -0.3259332754156169, -0.021191399947651113, -0.0055915439460317, 0.014833459979854524, 0.06465842187925078, -0.14589431169716752, -0.29436003745478745, 0.07356618257129893, -0.29023937560508356, -0.23290644769611604, 0.03509715725393856, -0.03341498195796328, 0.06889861647406338, -0.240170717732433, -0.14044169672107434, -0.07194026633549262, 0.09430436620160061, -0.023124380954815185, -0.2821279018946156, 0.0712900295826223, -0.002953084952691022, -0.0653456776704201, 0.08973108861520064, 0.16079445090144873, -0.04407917318509563, -0.12336932769154801, 0.35753871363532896, 0.0793524197754724, -0.04131908243631616, 0.16731758403030278, -0.21219755640691695, -0.1894955239395666, 0.08145207339240347, 0.2510613570921123, 0.08786129783017232, -0.29308033005937056, 0.11593643682392533, -0.01027696639956797, 0.10114463569259576, 0.0744109385071651, -0.0136209753656979, 0.19391848946757176, 0.35901875235140324, 0.03842167360434199, 0.08077773355291677, -0.04400597770205315, -0.013147288467735052, -0.49942928552627563, -0.12185948485292851, -0.12331125488066498, -0.07673879685428213, 0.16103765415113336, 0.027637127579723978, 0.39761468044975223, 0.10708169463802786, 0.07633703911457868, -0.10388634281287737, 0.2899768117486554, -0.03270616848021746, -0.0033901532493901495, 0.049106679577294816, 0.15167304579432206, 0.07260678029235672, 0.17260827266556375, -0.27989208432571855, 0.02536342153325677, 0.09961368709200007] |
709.146 | On deformations of metrics and their associated spinor structures | Smooth deformations of a Minkowski type metric in a four-dimensional
space-time manifold are considered. Deformations of the basic spin-tensorial
fields associated with this metric are calculated and their application to
calculating the energy-momentum tensor of a massive spin 1/2 particle is shown.
| math.DG math-ph math.MP | smooth deformations of a minkowski type metric in a fourdimensional spacetime manifold are considered deformations of the basic spintensorial fields associated with this metric are calculated and their application to calculating the energymomentum tensor of a massive spin 12 particle is shown | [['smooth', 'deformations', 'of', 'a', 'minkowski', 'type', 'metric', 'in', 'a', 'fourdimensional', 'spacetime', 'manifold', 'are', 'considered', 'deformations', 'of', 'the', 'basic', 'spintensorial', 'fields', 'associated', 'with', 'this', 'metric', 'are', 'calculated', 'and', 'their', 'application', 'to', 'calculating', 'the', 'energymomentum', 'tensor', 'of', 'a', 'massive', 'spin', '12', 'particle', 'is', 'shown']] | [-0.1948750349443539, 0.1717247358368089, -0.04212581769873699, 0.10500032133201048, -0.09335966463688583, -0.10141827539718222, -0.13551587689601416, 0.34530873437012943, -0.19428762578449787, -0.20978093426674604, 0.09347909087747601, -0.2629866633741629, -0.19400144195450203, 0.11736702009026583, -0.06399612261780671, 0.023270187378373174, 0.003276056299606959, 0.11703889971111148, -0.14827093031878272, -0.22941301771927447, 0.4131155377697377, 0.025861640660358325, 0.27778050560681594, 0.016268615771661558, 0.16929020710466874, -0.02088519394220341, -0.05706071933465345, 0.09997483001401027, -0.10335722488040726, 0.14120521884788537, 0.23037366875048196, 0.07399763046054258, 0.14894492512879273, -0.381443770380602, -0.2153924250576113, 0.10240147167461969, 0.09357615451638897, 0.11940716606373566, -0.039676323910022064, -0.28810370345378206, 0.08895657861250497, -0.16720913115534045, -0.2068723768794111, -0.1020211107541053, 0.03903585547093479, -0.03826527767592952, -0.22368879964397775, 0.08007826434359663, 0.04947966799816294, 0.011862918712376129, -0.15942220264557927, -0.08001118440491457, -0.08243893122389204, 0.050175671210689915, 0.09498293249357846, 0.08587914514577105, 0.15682722517244874, -0.12566617281464415, -0.10349144434024181, 0.40036911703646183, -0.03540318387205757, -0.3273878058507329, 0.13941804229814028, -0.13706109108447673, -0.08050146353031908, 0.10288640572911217, 0.15190643953558589, 0.18718221015296876, -0.1541431200069686, 0.18743492576288104, 0.037978238836374315, 0.03676923117711253, 0.09167106613694202, 0.04633619037589857, 0.2084428275369906, 0.07501508959657735, 0.028736955009489543, 0.12661710943627572, -0.04616169851145796, -0.13198428800595657, -0.3661865780928305, -0.21119093329512648, -0.18320598978815333, 0.1700836100748607, -0.18010028398428057, -0.21184103758770062, 0.3757390093413137, 0.0010875357048852102, 0.17201656788460068, 0.04673539031119574, 0.20332141021000488, 0.07720586107600302, 0.07334172153024979, 0.07312897150404751, 0.2691077472021182, 0.24010802871946776, 0.0576304541900754, -0.16014725428872875, -0.11210866062901914, 0.11617448642140343] |
709.1461 | Average twin prime conjecture for elliptic curves | Let E be an elliptic curve over Q. In 1988, Koblitz conjectured a precise
asymptotic for the number of primes p up to x such that the order of the group
of points of E over the finite field F_p is prime. This is an analogue of the
Hardy and Littlewood twin prime conjecture in the case of elliptic curves.
Koblitz's conjecture is still widely open. In this paper we prove that
Koblitz's conjecture is true on average over a two-parameter family of elliptic
curves. One of the key ingredients in the proof is a short average distribution
result in the style of Barban-Davenport-Halberstam, where the average is taken
over twin primes and their differences.
| math.NT | let e be an elliptic curve over q in 1988 koblitz conjectured a precise asymptotic for the number of primes p up to x such that the order of the group of points of e over the finite field f_p is prime this is an analogue of the hardy and littlewood twin prime conjecture in the case of elliptic curves koblitzs conjecture is still widely open in this paper we prove that koblitzs conjecture is true on average over a twoparameter family of elliptic curves one of the key ingredients in the proof is a short average distribution result in the style of barbandavenporthalberstam where the average is taken over twin primes and their differences | [['let', 'e', 'be', 'an', 'elliptic', 'curve', 'over', 'q', 'in', '1988', 'koblitz', 'conjectured', 'a', 'precise', 'asymptotic', 'for', 'the', 'number', 'of', 'primes', 'p', 'up', 'to', 'x', 'such', 'that', 'the', 'order', 'of', 'the', 'group', 'of', 'points', 'of', 'e', 'over', 'the', 'finite', 'field', 'f_p', 'is', 'prime', 'this', 'is', 'an', 'analogue', 'of', 'the', 'hardy', 'and', 'littlewood', 'twin', 'prime', 'conjecture', 'in', 'the', 'case', 'of', 'elliptic', 'curves', 'koblitzs', 'conjecture', 'is', 'still', 'widely', 'open', 'in', 'this', 'paper', 'we', 'prove', 'that', 'koblitzs', 'conjecture', 'is', 'true', 'on', 'average', 'over', 'a', 'twoparameter', 'family', 'of', 'elliptic', 'curves', 'one', 'of', 'the', 'key', 'ingredients', 'in', 'the', 'proof', 'is', 'a', 'short', 'average', 'distribution', 'result', 'in', 'the', 'style', 'of', 'barbandavenporthalberstam', 'where', 'the', 'average', 'is', 'taken', 'over', 'twin', 'primes', 'and', 'their', 'differences']] | [-0.2111542217757391, 0.08264048738308939, -0.1798850796327157, 0.06322661556060548, -0.02587630508629524, -0.09344123679253719, 0.010071363616937204, 0.28119967589964684, -0.2967337198514977, -0.2722107663264741, 0.04920254798666777, -0.2641697131684455, -0.08479737308200287, 0.281267873764686, -0.16333388251697886, 0.03176436687050306, 0.01660941161782197, 0.10434026394403823, -0.02237617816452099, -0.37077496858394665, 0.3304457935099692, -0.044040924626524036, 0.20223672150269797, 0.06066166032510607, 0.05536001175540783, 0.051228222675664535, 0.016469192662802726, -0.06547361574864582, -0.14529017207437986, 0.14921709938308872, 0.2797486765125422, 0.060440822627962285, 0.27080791407953136, -0.31593652229918084, -0.15313301212559252, 0.22746067143085857, 0.14568894733877286, -0.010215906428335154, -0.0038994566122393893, -0.17763976124115288, 0.14208637226130003, -0.13868593725112632, -0.20598103152183087, 0.006282840812902736, 0.11786356231541899, 0.043763848280777104, -0.2963458976181953, 0.048997468630904734, 0.12720912464934847, 0.15395278494157222, -0.033541714065991664, -0.13835525655633082, 0.02579381060179161, 0.05710414068206497, 0.06693212861276192, 0.09325182654125536, -0.02900837567513404, -0.09634492896983157, -0.1085601534937387, 0.3524397368031635, -0.06167634227313101, -0.13770663556845292, 0.05540016886585838, -0.18757416932317225, -0.11786260123708812, 0.12425202515138233, 0.13120040899223606, 0.16717668966106747, -0.02978167029745553, 0.16101769913372624, -0.17091805323826798, 0.13077165014211736, 0.1271054985416729, -0.028164305092523927, 0.1561266964463436, 0.07003885057714322, 0.06237863865073608, 0.10486429339456979, -0.047245987227221994, -0.03979748265650731, -0.3610096557227814, -0.2220184772234896, -0.17081459372749794, 0.15479703825776991, -0.09299442650846448, -0.15875528979560602, 0.39195676387652106, 0.0676410150481388, 0.18009086977386765, 0.07180430138402659, 0.20111111026743184, 0.0985530105702903, 0.020788674582929715, 0.07945679103064796, 0.1408769568104459, 0.1830703062126818, -0.010386996019793593, -0.15694847547489663, 0.03526297897991279, 0.1495679929892978] |
709.1462 | Tau neutrino search with the MAGIC telescope | The MAGIC telescope located on the Roque de los Muchachos on the Canary
Island La Palma at a height of 2200 m a.s.l. is able to point to the sea. This
permits a search for air shower signatures induced by particles coming out of
the Earth. An analytical approximation results in tau neutrino effective areas
from ~10^3 m^2 (at 100 TeV) to 10^5 m^2 (at 1 EeV) for an observation angle of
about 1 degree below the horizon, rapidly diminishing with further inclination.
Taking into account the huge effective area, this configuration was
investigated for its suitability to search for ultra-high energy (UHE)
tau-neutrino signatures. The outcome of simulations for tau-neutrino signatures
will be presented, models for astrophysical neutrino sources reviewed, and
estimated event rates in MAGIC are shown.
| astro-ph | the magic telescope located on the roque de los muchachos on the canary island la palma at a height of 2200 m asl is able to point to the sea this permits a search for air shower signatures induced by particles coming out of the earth an analytical approximation results in tau neutrino effective areas from 103 m2 at 100 tev to 105 m2 at 1 eev for an observation angle of about 1 degree below the horizon rapidly diminishing with further inclination taking into account the huge effective area this configuration was investigated for its suitability to search for ultrahigh energy uhe tauneutrino signatures the outcome of simulations for tauneutrino signatures will be presented models for astrophysical neutrino sources reviewed and estimated event rates in magic are shown | [['the', 'magic', 'telescope', 'located', 'on', 'the', 'roque', 'de', 'los', 'muchachos', 'on', 'the', 'canary', 'island', 'la', 'palma', 'at', 'a', 'height', 'of', '2200', 'm', 'asl', 'is', 'able', 'to', 'point', 'to', 'the', 'sea', 'this', 'permits', 'a', 'search', 'for', 'air', 'shower', 'signatures', 'induced', 'by', 'particles', 'coming', 'out', 'of', 'the', 'earth', 'an', 'analytical', 'approximation', 'results', 'in', 'tau', 'neutrino', 'effective', 'areas', 'from', '103', 'm2', 'at', '100', 'tev', 'to', '105', 'm2', 'at', '1', 'eev', 'for', 'an', 'observation', 'angle', 'of', 'about', '1', 'degree', 'below', 'the', 'horizon', 'rapidly', 'diminishing', 'with', 'further', 'inclination', 'taking', 'into', 'account', 'the', 'huge', 'effective', 'area', 'this', 'configuration', 'was', 'investigated', 'for', 'its', 'suitability', 'to', 'search', 'for', 'ultrahigh', 'energy', 'uhe', 'tauneutrino', 'signatures', 'the', 'outcome', 'of', 'simulations', 'for', 'tauneutrino', 'signatures', 'will', 'be', 'presented', 'models', 'for', 'astrophysical', 'neutrino', 'sources', 'reviewed', 'and', 'estimated', 'event', 'rates', 'in', 'magic', 'are', 'shown']] | [-0.1065279064626007, 0.2347097935828709, -0.03291013164720101, 0.17516944983021118, -0.026932723466451317, -0.06921530487160235, 0.03220164176444848, 0.3434334399337454, -0.15838480411934874, -0.4023004730426988, 0.08411554613713781, -0.3433889214548665, -0.020251229390964028, 0.23613622376168247, 0.017174658827599165, -0.024626649780354153, 0.07618769300359757, -0.009577170934874651, -0.031146492895691893, -0.20441479025527748, 0.2156453081758606, 0.2476871310617746, 0.2607956888937471, 0.06925271869575705, 0.14953964304669884, -0.01426049483427417, -0.022915284557253585, -0.042187133240838386, -0.1625427389878404, 0.014759056595002496, 0.28770616985695613, 0.10032431483756057, 0.15787047110209168, -0.3913043871009361, -0.14097741161032704, 0.07068894727538202, 0.11429458627722754, 0.021913533227819616, -0.0408958444703919, -0.35670293515454254, 0.10387531608386441, -0.1575825778672033, -0.20214660603610812, 0.06437071458284938, 0.01220121453407892, -0.024970047637935755, -0.2538979121541619, -0.020502070862485833, -0.035649005208135576, 0.06930457132095977, -0.05075537653499131, -0.2101988367873511, -0.00562600798042159, 0.08364441382334127, 0.07564693258880356, 0.04448375190326641, 0.1286730638022946, -0.06585316409450746, -0.06651377471438212, 0.33101766292265683, -0.07813687139197953, -0.08099111588671803, 0.13934563857849774, -0.20840935248794945, -0.13752863531961113, 0.21734148611913817, 0.2017624240635728, 0.0958666501805013, -0.12187009666822562, 0.09003358740718717, 0.01907377691881717, 0.16984728455309786, 0.10770567122471425, -0.013847863030901481, 0.30161692915383237, 0.1848263367360761, 0.1111402726901854, 0.018518621593807613, -0.27383746288341376, -0.039174878832617006, -0.29366426888939945, -0.12258281314956718, -0.1235325340670714, 0.08572598955370198, -0.08044321667897071, -0.07891055307727372, 0.3573435031576082, 0.13900246513401007, 0.15896802398470022, -0.0012078197337253842, 0.2649185201008768, 0.031235540574488713, 0.05116769728474608, 0.06412842104846771, 0.3067233758570641, 0.08681206682935184, 0.15398890208525134, -0.20475129485166407, 0.013665123911242383, 0.045894717635197] |
709.1463 | Momentum and energy preserving integrators for nonholonomic dynamics | In this paper, we propose a geometric integrator for nonholonomic mechanical
systems. It can be applied to discrete Lagrangian systems specified through a
discrete Lagrangian defined on QxQ, where Q is the configuration manifold, and
a (generally nonintegrable) distribution in TQ. In the proposed method, a
discretization of the constraints is not required. We show that the method
preserves the discrete nonholonomic momentum map, and also that the
nonholonomic constraints are preserved in average. We study in particular the
case where Q has a Lie group structure and the discrete Lagrangian and/or
nonholonomic constraints have various invariance properties, and show that the
method is also energy-preserving in some important cases.
| math.NA math-ph math.DG math.MP | in this paper we propose a geometric integrator for nonholonomic mechanical systems it can be applied to discrete lagrangian systems specified through a discrete lagrangian defined on qxq where q is the configuration manifold and a generally nonintegrable distribution in tq in the proposed method a discretization of the constraints is not required we show that the method preserves the discrete nonholonomic momentum map and also that the nonholonomic constraints are preserved in average we study in particular the case where q has a lie group structure and the discrete lagrangian andor nonholonomic constraints have various invariance properties and show that the method is also energypreserving in some important cases | [['in', 'this', 'paper', 'we', 'propose', 'a', 'geometric', 'integrator', 'for', 'nonholonomic', 'mechanical', 'systems', 'it', 'can', 'be', 'applied', 'to', 'discrete', 'lagrangian', 'systems', 'specified', 'through', 'a', 'discrete', 'lagrangian', 'defined', 'on', 'qxq', 'where', 'q', 'is', 'the', 'configuration', 'manifold', 'and', 'a', 'generally', 'nonintegrable', 'distribution', 'in', 'tq', 'in', 'the', 'proposed', 'method', 'a', 'discretization', 'of', 'the', 'constraints', 'is', 'not', 'required', 'we', 'show', 'that', 'the', 'method', 'preserves', 'the', 'discrete', 'nonholonomic', 'momentum', 'map', 'and', 'also', 'that', 'the', 'nonholonomic', 'constraints', 'are', 'preserved', 'in', 'average', 'we', 'study', 'in', 'particular', 'the', 'case', 'where', 'q', 'has', 'a', 'lie', 'group', 'structure', 'and', 'the', 'discrete', 'lagrangian', 'andor', 'nonholonomic', 'constraints', 'have', 'various', 'invariance', 'properties', 'and', 'show', 'that', 'the', 'method', 'is', 'also', 'energypreserving', 'in', 'some', 'important', 'cases']] | [-0.16550736939278218, 0.0795856711856269, -0.12236334278393503, 0.057905963461829024, -0.09357663878846333, -0.13503803124377897, -0.04324966441698953, 0.3952649483850243, -0.28706677178553214, -0.29105238944565487, 0.10571158020394009, -0.180521816767137, -0.20611987768783482, 0.173424145275163, -0.11232993074632976, 0.09140771681254883, 0.06444681105161205, 0.066386022852785, -0.11758727605941646, -0.2210951876610842, 0.34734862306317604, -0.003532433694382326, 0.2360526820593471, 0.0302862327325867, 0.17756686811634434, -0.0012049894532137509, 0.03294651542679159, 0.04816996339408383, -0.11466391205913419, 0.08893858929327049, 0.20543617139989084, 0.08322512786493662, 0.22959716960044424, -0.3874028273302754, -0.2238936065632098, 0.13777266639827349, 0.12887001769625744, 0.09277902708448675, -0.028163008328843348, -0.2841907412373384, 0.09749125815295709, -0.16801546793431044, -0.11675302444213848, -0.12550949435168451, 0.0039414362554703285, 0.0492123407503983, -0.2546692014796822, 0.056965086066031644, 0.10389558000302096, 0.04609014805611394, -0.09348198111006699, -0.039579537167393285, -0.07482463655963438, 0.058578087640669914, 0.028647674728236205, 0.019821826404883364, 0.10405659004447794, -0.07672315163307165, -0.0854417511065482, 0.4751964743257663, -0.028519507874563813, -0.3516078276235029, 0.14040187969291157, -0.09223335997603081, -0.23970603745926275, 0.0756759222109862, 0.19637695552114773, 0.154388228499698, -0.1451210701211202, 0.15983907488140559, -0.05921589261040502, 0.10423364235865755, 0.016390732741581465, 0.010557063227228889, 0.11973422605954452, 0.10978619874574654, 0.13356452389489945, 0.1216936312741899, -0.04693839685999951, -0.14929598594648302, -0.33171494298298426, -0.15857644720054273, -0.1599664253592833, 0.040579129550995845, -0.08035331475708651, -0.08203234467569978, 0.3731562067165014, 0.1385117179560347, 0.19514908120377894, 0.059908132399902295, 0.28442925790649487, 0.16834864505233432, 0.049991688118615284, 0.07711251742642271, 0.20937437627922717, 0.1314340594198999, 0.05560408934198935, -0.20935447652046696, -0.019019926261635275, 0.0887436632306204] |
709.1464 | Discrete Rotational Symmetry, Moment Isotropy, and High Order Lattice
Boltzmann Models | Conventional lattice Boltzmann models only satisfy moment isotropy up to
fourth order. In order to accurately describe improtant physical effects beyond
the isothermal Navier-Stokes fluid regime, higher order isotropy is required.
In this paper, we present some basic results on moment isotropy and its
relationship to the rotational symmetry of a generating discrete vector set.
The anslysis provides a geometric understanding for popular lattice Boltzmann
models, while offering a systematic procedure to construct higher order models.
| physics.comp-ph physics.flu-dyn | conventional lattice boltzmann models only satisfy moment isotropy up to fourth order in order to accurately describe improtant physical effects beyond the isothermal navierstokes fluid regime higher order isotropy is required in this paper we present some basic results on moment isotropy and its relationship to the rotational symmetry of a generating discrete vector set the anslysis provides a geometric understanding for popular lattice boltzmann models while offering a systematic procedure to construct higher order models | [['conventional', 'lattice', 'boltzmann', 'models', 'only', 'satisfy', 'moment', 'isotropy', 'up', 'to', 'fourth', 'order', 'in', 'order', 'to', 'accurately', 'describe', 'improtant', 'physical', 'effects', 'beyond', 'the', 'isothermal', 'navierstokes', 'fluid', 'regime', 'higher', 'order', 'isotropy', 'is', 'required', 'in', 'this', 'paper', 'we', 'present', 'some', 'basic', 'results', 'on', 'moment', 'isotropy', 'and', 'its', 'relationship', 'to', 'the', 'rotational', 'symmetry', 'of', 'a', 'generating', 'discrete', 'vector', 'set', 'the', 'anslysis', 'provides', 'a', 'geometric', 'understanding', 'for', 'popular', 'lattice', 'boltzmann', 'models', 'while', 'offering', 'a', 'systematic', 'procedure', 'to', 'construct', 'higher', 'order', 'models']] | [-0.09474598664186291, 0.10512614359047164, -0.07871917593670455, 0.0870314574410283, -0.16233259912680936, -0.10723864765384712, 0.034094521228375065, 0.32981014916220225, -0.2790920865294096, -0.295220408336939, 0.07607954942677925, -0.2494454828304918, -0.06737316138035543, 0.12481630934603713, -0.004919216590555939, 0.11726430814156334, -0.017903381864213058, 0.043849234418893185, -0.11887563501384009, -0.25669842662377834, 0.2916834435387942, 0.06848146150996154, 0.3155421124601334, -0.003904775906719167, 0.14852134894730673, -0.06852027666880875, 0.013896774538364765, 0.02002620046983498, -0.17113881404637485, 0.1586353170081369, 0.18886589602526155, 0.017399021644598327, 0.2267100353398033, -0.44246382203355833, -0.25664070081217466, 0.11284329160116613, 0.08538768241005773, 0.16370773157915036, -0.00347838644724893, -0.2067617514623782, 0.12276558859928234, -0.17194686856473218, -0.19506862312492385, -0.20624016400275602, -0.03088351175491069, -0.02792519114587481, -0.26381568645907416, 0.12747447483392582, 0.11895762881691996, 0.09490632824599743, -0.05900221513238157, -0.09686101154373908, 0.022025556690563018, 0.07831085781956948, 0.04960400708306052, 0.03232698209860639, 0.044913481242916976, -0.12589383498148843, -0.0938199655203199, 0.5236563683562988, -0.061871394848551704, -0.22224871181203304, 0.18508698442648794, -0.17777114111703593, -0.14725025096354452, 0.10849027498625219, 0.20400571307117069, 0.06383117546352583, -0.14486965084624653, 0.08127866407802857, -0.0017839619839513624, 0.15382039719387083, 0.009522325205113235, -0.028927296853146038, 0.19869369982011817, 0.146582136434075, 0.053636492167070914, 0.10551175711412183, -0.06116352183901629, -0.1265967226385869, -0.33811428939067834, -0.12236954067909234, -0.14801811579161803, 0.0712885907662378, -0.11631522391827595, -0.14669247657513698, 0.40067362171169874, 0.20904507121776003, 0.15876977538337578, 0.07911967438633076, 0.2905286785743728, 0.11338266483496251, 0.028233527558276784, 0.05520468783514524, 0.1907704308274284, 0.17360557245745048, 0.09444241635690166, -0.1913040168583393, 0.03516399357593744, 0.15302414875131454] |
709.1465 | Fluctuations and Rheology in Active Bacterial Suspensions | We probe non-equilibrium properties of an active bacterial bath through
measurements of correlations of passive tracer particles and the response
function of a driven, optically trapped tracer. These measurements demonstrate
violation of the fluctuation-dissipation theorem and enable us to extract the
power spectrum of the active stress fluctuations. In some cases, we observe
$1/\sqrt{\omega}$ scaling in the noise spectrum which we show can be derived
from a theoretical model incorporating coupled stress, orientation, and
concentration fluctuations of the bacteria.
| cond-mat.soft | we probe nonequilibrium properties of an active bacterial bath through measurements of correlations of passive tracer particles and the response function of a driven optically trapped tracer these measurements demonstrate violation of the fluctuationdissipation theorem and enable us to extract the power spectrum of the active stress fluctuations in some cases we observe 1sqrtomega scaling in the noise spectrum which we show can be derived from a theoretical model incorporating coupled stress orientation and concentration fluctuations of the bacteria | [['we', 'probe', 'nonequilibrium', 'properties', 'of', 'an', 'active', 'bacterial', 'bath', 'through', 'measurements', 'of', 'correlations', 'of', 'passive', 'tracer', 'particles', 'and', 'the', 'response', 'function', 'of', 'a', 'driven', 'optically', 'trapped', 'tracer', 'these', 'measurements', 'demonstrate', 'violation', 'of', 'the', 'fluctuationdissipation', 'theorem', 'and', 'enable', 'us', 'to', 'extract', 'the', 'power', 'spectrum', 'of', 'the', 'active', 'stress', 'fluctuations', 'in', 'some', 'cases', 'we', 'observe', '1sqrtomega', 'scaling', 'in', 'the', 'noise', 'spectrum', 'which', 'we', 'show', 'can', 'be', 'derived', 'from', 'a', 'theoretical', 'model', 'incorporating', 'coupled', 'stress', 'orientation', 'and', 'concentration', 'fluctuations', 'of', 'the', 'bacteria']] | [-0.11061196072805154, 0.1926719359657506, -0.1328781500600184, 0.015449426561311076, 0.027030493922625916, -0.12916608012717548, 0.029504730982140084, 0.3216609605057519, -0.2857900963494955, -0.30372504612926066, 0.018508512246764346, -0.32470978379155263, -0.13144120607595844, 0.17480032539431337, 0.00207375364725867, 0.02284467274535306, -0.027416366503184922, -0.040829717924323265, 0.019708026474624683, -0.11957808423645888, 0.21517551937317358, 0.08360681904456284, 0.31561679157275185, 0.04844502840615526, 0.1066599182277635, -0.010703862072970671, -0.050153939654649815, 0.052102038252352156, -0.16562342341942124, 0.06159802034049283, 0.1966910601897118, 0.04111259930201252, 0.20143144947912875, -0.4524060019963904, -0.24375789021908106, 0.1309119391997781, 0.15635422273256072, 0.1377990155796155, -0.06532974649645105, -0.2701513225896449, -0.03170742887909277, -0.14868504289962067, -0.17608477662117045, -0.10449835363645814, -0.016018905069773333, 0.06804304905353656, -0.3036208400809312, 0.18869093383214425, 0.056872998116702975, 0.0659912091243682, -0.08602509260342657, -0.024034627465696276, -0.03586717025388645, 0.15050258382247125, 0.047640553444234915, -0.060945544828059556, 0.3085266893753145, -0.16052018119688322, -0.04344379723873697, 0.31228422188447624, -0.10739287823627267, -0.18984278518989495, 0.18222774923307514, -0.18985759202815308, -0.11545232965174733, 0.11366335323221888, 0.2058868067857774, 0.10588365993786697, -0.18151170655471993, 0.0009648708893351634, -0.03392692571034348, 0.2033163302524982, -0.002892837317401095, 0.06821691576697969, 0.2364484728255038, 0.14604061219511152, 0.02483004115115191, 0.18297771801376314, -0.1240224620810698, -0.07142268787314997, -0.2837561489424751, -0.14655881375074387, -0.18691059230249138, 0.09292966674400281, -0.11306935721434376, -0.12530803033209678, 0.38836000168908247, 0.16831305528743357, 0.1775752506277795, 0.03822259166531406, 0.26302126065320985, 0.1041862357944203, 0.03946831244739551, 0.04369427619761304, 0.3170401928198518, 0.20666065951514564, 0.09094234303087939, -0.3001136644065522, 0.034535645981779016, -0.020733008915676348] |
709.1466 | A sharp bound for the Stein-Wainger oscillatory integral | Let Pd denote the space of all real polynomials of degree at most d. It is an
old result of Stein and Wainger that for every polynomial P in Pd:
|p.v.\int_R {e^{iP(t)} dt/t} | < C(d) for some constant C(d) depending only
on d. On the other hand, Carbery, Wainger and Wright claim that the true order
of magnitude of the above principal value integral is log d. We prove this
conjecture.
| math.CA | let pd denote the space of all real polynomials of degree at most d it is an old result of stein and wainger that for every polynomial p in pd pvint_r eipt dtt cd for some constant cd depending only on d on the other hand carbery wainger and wright claim that the true order of magnitude of the above principal value integral is log d we prove this conjecture | [['let', 'pd', 'denote', 'the', 'space', 'of', 'all', 'real', 'polynomials', 'of', 'degree', 'at', 'most', 'd', 'it', 'is', 'an', 'old', 'result', 'of', 'stein', 'and', 'wainger', 'that', 'for', 'every', 'polynomial', 'p', 'in', 'pd', 'pvint_r', 'eipt', 'dtt', 'cd', 'for', 'some', 'constant', 'cd', 'depending', 'only', 'on', 'd', 'on', 'the', 'other', 'hand', 'carbery', 'wainger', 'and', 'wright', 'claim', 'that', 'the', 'true', 'order', 'of', 'magnitude', 'of', 'the', 'above', 'principal', 'value', 'integral', 'is', 'log', 'd', 'we', 'prove', 'this', 'conjecture']] | [-0.1438196494572741, 0.05457012764343423, -0.07616806514424217, 0.008809554981245823, -0.06161225827492993, -0.17231371883741198, 0.02239982853643596, 0.29410097858978107, -0.27782705896842186, -0.2536034302388811, 0.08563047074815533, -0.3034671291089206, -0.13138321788488505, 0.20442514865220907, -0.07731597415883751, -0.05047505987664301, -0.0007263004406601848, 0.10181540206951253, -0.06660575805204537, -0.3763899818227133, 0.34206440277835903, -0.052570230491897636, 0.13689318332506126, 0.07667707508731195, 0.06429643829024452, 0.05653232542167911, -0.017337909118984553, -0.03134371004082769, -0.16545939299741055, 0.12274110199445311, 0.22956496951005914, 0.12985319768503198, 0.2806467199150254, -0.30657288947558675, -0.14066289030768744, 0.19905268442680074, 0.11943723710582536, -0.03350788098759949, 0.049057803164674514, -0.24450309689649763, 0.1516492915517815, -0.07713795236422276, -0.17647208092282252, -0.026860994492274, 0.15917916413780084, 0.0004679744186646798, -0.3145445273805629, 0.062078433522187615, 0.13143513984430363, 0.09687865485765916, -0.0504757963353768, -0.23555766952032334, -0.046976763316813636, 0.021549431244185305, 0.01599364832509309, 0.1360331440330757, 0.02178033437795581, -0.06433393437456449, -0.10404876804472331, 0.29768532068085146, -0.08871180325684905, -0.1688457978889346, 0.12942634781767778, -0.23816426259958567, -0.15275584159056, 0.07757843707975767, 0.09088991361889331, 0.1704842581632821, -0.0251203100744854, 0.18837404338581323, -0.12079980658531628, 0.1497131172731957, 0.15401828133069692, -0.031977815772680676, 0.03903837200692471, 0.07136026829453733, 0.11078564493971713, 0.02554140872106312, -0.04695956568534979, -0.0062635895549593605, -0.31592357539407473, -0.21887876912403634, -0.23097497779663706, 0.1153702662764665, -0.17905328288521988, -0.11084833081044695, 0.3141747734112227, 0.0906213274677558, 0.18493464064565213, 0.09377130814006224, 0.18355309527696057, 0.09841448573998231, -0.01311547466320917, 0.11286718307939522, 0.14906862098252852, 0.15573335088351192, 0.01365017703296069, -0.19815198924419852, 0.12842279944486698, 0.14858252087416238] |
709.1467 | Correlations of chiral condensates and quark number densities with
static quark sources | We investigate correlation functions of the Polyakov loop and static
meson/diquark systems with the chiral condensate and the quark number density
at finite temperature. In particular the latter observable can give insight in
the mechanism of screening and string breaking at finite temperature. We use
for our analysis gauge field configurations generated in 2+1 flavor QCD with an
improved staggered fermion action with almost physical light quark masses and a
physical value of the strange quark mass on lattices with temporal extent Nt=4
and 6.
| hep-lat | we investigate correlation functions of the polyakov loop and static mesondiquark systems with the chiral condensate and the quark number density at finite temperature in particular the latter observable can give insight in the mechanism of screening and string breaking at finite temperature we use for our analysis gauge field configurations generated in 21 flavor qcd with an improved staggered fermion action with almost physical light quark masses and a physical value of the strange quark mass on lattices with temporal extent nt4 and 6 | [['we', 'investigate', 'correlation', 'functions', 'of', 'the', 'polyakov', 'loop', 'and', 'static', 'mesondiquark', 'systems', 'with', 'the', 'chiral', 'condensate', 'and', 'the', 'quark', 'number', 'density', 'at', 'finite', 'temperature', 'in', 'particular', 'the', 'latter', 'observable', 'can', 'give', 'insight', 'in', 'the', 'mechanism', 'of', 'screening', 'and', 'string', 'breaking', 'at', 'finite', 'temperature', 'we', 'use', 'for', 'our', 'analysis', 'gauge', 'field', 'configurations', 'generated', 'in', '21', 'flavor', 'qcd', 'with', 'an', 'improved', 'staggered', 'fermion', 'action', 'with', 'almost', 'physical', 'light', 'quark', 'masses', 'and', 'a', 'physical', 'value', 'of', 'the', 'strange', 'quark', 'mass', 'on', 'lattices', 'with', 'temporal', 'extent', 'nt4', 'and', '6']] | [-0.11686022154000753, 0.29649367644879554, -0.09751752166570547, 0.079055537929868, -0.03242524713277817, -0.0847983409431489, 0.0796474980573882, 0.3821012124200078, -0.14663211763562525, -0.2734095193664817, 0.045151846134103835, -0.2570938778493334, -0.030780750400770236, 0.07854895372053279, 0.05525786590707653, 0.0629624583374928, -0.0230248222949312, 0.07054901651709396, -0.1223894588977975, -0.2545393479987979, 0.36723539023934043, -0.025489657070926007, 0.2526091124478947, 0.1851407459772685, 0.06631746640538468, 0.006044255701058051, -0.02151395726182005, -0.004644592796616695, -0.0773079684278106, 0.02427876557168715, 0.13017873875865274, 0.0020912209744839106, 0.10797809057266397, -0.3677948107559453, -0.21628309734549153, 0.08697402190745754, 0.13446776041322772, 0.14293465016081053, -0.05653701658661971, -0.2745715878903866, 0.08000232313266571, -0.1883963152026648, -0.19551996362587326, -0.12157981883296196, -0.012306150617351866, -0.056298617372179734, -0.31614799116025954, 0.0759313925224192, -0.03350539809531149, 0.10241209167767973, -0.03104754599797375, -0.16999176527537843, -0.06452702875796924, 0.07656332240166033, 0.07618405804558492, 0.08578405132352868, 0.1284428751863101, -0.19577880291103877, -0.12522374947541667, 0.4179681200643673, -0.09388690494439181, -0.16203158040914464, 0.16419391141492215, -0.19222226626075367, -0.11447311077705201, 0.07882539753473419, 0.18693521525299944, 0.07857470181496705, -0.14280824700219777, 0.1062983734827653, -0.05195802866125151, 0.19592269205296522, 0.09329222303760402, 0.08490372088409084, 0.3053123116602792, 0.18687117129619069, 0.0036322302458917394, 0.09947562012273599, -0.027487843974000392, -0.14016581104301354, -0.3302300724036553, -0.06345038834192297, -0.11302159506937161, 0.07521014842615627, -0.17862455384610632, -0.1777806322583381, 0.42325043557759595, 0.16912106642335215, 0.19105195128632818, 0.024483651665094145, 0.2531357284717481, 0.10986453207784935, 0.08378631542710697, 0.0789359343046432, 0.1908830547650509, 0.1943447683006525, 0.13761090389178957, -0.33804370239377024, -0.09551078077296124, 0.13731269612086608] |
709.1468 | Spitzer Observations of Tidal Dwarf Galaxies | We present Spitzer observations of Tidal Dwarf Galaxies (TDGs) in three
interacting systems: NGC 5291, Arp105 and Stephan's Quintet. The spectra show
bright emission from polyaromatic hydrocarbons (PAHs), nebular lines and warm
molecular hydrogen, characteristic of recent episodes of star formation. The
PAH emission that falls in the IRAC 8.0 micron band leads to the TDGs having an
extremely red IRAC color, with [4.5] - [8.0] > 3. The emission from PAHs is
characterized by a model with mainly neutral 100-C PAH atoms.
| astro-ph | we present spitzer observations of tidal dwarf galaxies tdgs in three interacting systems ngc 5291 arp105 and stephans quintet the spectra show bright emission from polyaromatic hydrocarbons pahs nebular lines and warm molecular hydrogen characteristic of recent episodes of star formation the pah emission that falls in the irac 80 micron band leads to the tdgs having an extremely red irac color with 45 80 3 the emission from pahs is characterized by a model with mainly neutral 100c pah atoms | [['we', 'present', 'spitzer', 'observations', 'of', 'tidal', 'dwarf', 'galaxies', 'tdgs', 'in', 'three', 'interacting', 'systems', 'ngc', '5291', 'arp105', 'and', 'stephans', 'quintet', 'the', 'spectra', 'show', 'bright', 'emission', 'from', 'polyaromatic', 'hydrocarbons', 'pahs', 'nebular', 'lines', 'and', 'warm', 'molecular', 'hydrogen', 'characteristic', 'of', 'recent', 'episodes', 'of', 'star', 'formation', 'the', 'pah', 'emission', 'that', 'falls', 'in', 'the', 'irac', '80', 'micron', 'band', 'leads', 'to', 'the', 'tdgs', 'having', 'an', 'extremely', 'red', 'irac', 'color', 'with', '45', '80', '3', 'the', 'emission', 'from', 'pahs', 'is', 'characterized', 'by', 'a', 'model', 'with', 'mainly', 'neutral', '100c', 'pah', 'atoms']] | [-0.011071147384063807, 0.10712038552319428, -0.035229002218693496, 0.06880775732715846, 0.01543226484209299, -0.06094530308037065, 0.0239465408216347, 0.5184891572687775, -0.09491113579133525, -0.3087572687771171, -0.06564081100223121, -0.3165713710710406, -0.019263864768436178, 0.06277793514746008, -0.01810076282126829, -0.14698880303185433, 0.048768705362454055, -0.2772791912546381, 0.07347842542512809, -0.32496266771049703, 0.2469951941864565, 0.0596402014081832, 0.09946113642363344, 0.009637600812129676, 0.00404852373758331, -0.17265382330369902, -0.0817890971316956, -0.13211349294288083, -0.14650091806297497, 0.06307921335828723, 0.27248345329426227, 0.06447457927279174, 0.15623289423529058, -0.3473395512672141, -0.21820483279880137, 0.05553371479327325, 0.20197686145547777, 0.03253386914802832, -0.053037893725559115, -0.323296529793879, 0.015397549548652023, -0.1840016504196683, -0.15031757792967254, 0.13671398662554565, 0.09897117596119642, 0.017366050474811344, -0.18214269165182487, 0.16281573283486067, -0.005504563440626953, 0.18693194927618606, -0.207191506261006, -0.12530076954863034, -0.14597585888113826, -0.034842954814666885, -0.04359366902353941, 0.05955516240210272, 0.31347112518851644, -0.14531148977694103, -0.004798835737165064, 0.4643422935158014, -0.17803141394106206, 0.17865485292859376, 0.35413798145018516, -0.18244249882991426, -0.21706257086480035, 0.3118946633534506, 0.032665920472936705, 0.11958093468565494, -0.17398490819032303, 0.003288155006885063, -0.07293387817335314, 0.25343017640989274, 0.06400210092542694, 0.17954711960919667, 0.380948403920047, 0.07067086644819938, -0.025004704110324384, 0.1676184276562708, -0.3414670821512118, 0.002165808842983097, -0.17300967955961824, -0.09458632565219886, -0.11592857412033482, 0.13905087162565904, -0.10764984536181146, -0.09352252108146786, 0.31660649860277773, 0.025964301900239663, 0.22751975761493667, 0.03045610206318088, 0.3235368824156467, 0.0066136677982285615, 0.148146604251815, 0.1365631104214117, 0.2799653411027975, 0.21159650350746234, 0.03234244362683967, -0.2653700740193017, 0.03188973551878007, -0.055324475053930657] |
709.1469 | Intimate relations between electronic nematic, d-density wave and d-wave
superconducting states | This paper consists of two important theoretical observations on the
interplay between l = 2 condensates; d-density wave (ddw), electronic nematic
and d-wave superconducting states. (1) There is SO(4) invariance at a
transition between the nematic and d-wave superconducting states. The nematic
and d-wave pairing operators can be rotated into each other by pseudospin SU(2)
generators, which are s-wave pairing and electron density operators. The
difference between the current work and the previous O(4) symmetry at a
transition between the ddw and d-wave superconducting states (Nayak 2000 Phys.
Rev. B 62 R6135) is presented. (2) The nematic and ddw operators transform into
each other under a unitary transformation. Thus, when a Hamiltonian is
invariant under such a transformation, the two states are exactly degenerate.
The competition between the nematic and ddw states in the presence of a
degeneracy breaking term is discussed.
| cond-mat.str-el cond-mat.supr-con | this paper consists of two important theoretical observations on the interplay between l 2 condensates ddensity wave ddw electronic nematic and dwave superconducting states 1 there is so4 invariance at a transition between the nematic and dwave superconducting states the nematic and dwave pairing operators can be rotated into each other by pseudospin su2 generators which are swave pairing and electron density operators the difference between the current work and the previous o4 symmetry at a transition between the ddw and dwave superconducting states nayak 2000 phys rev b 62 r6135 is presented 2 the nematic and ddw operators transform into each other under a unitary transformation thus when a hamiltonian is invariant under such a transformation the two states are exactly degenerate the competition between the nematic and ddw states in the presence of a degeneracy breaking term is discussed | [['this', 'paper', 'consists', 'of', 'two', 'important', 'theoretical', 'observations', 'on', 'the', 'interplay', 'between', 'l', '2', 'condensates', 'ddensity', 'wave', 'ddw', 'electronic', 'nematic', 'and', 'dwave', 'superconducting', 'states', '1', 'there', 'is', 'so4', 'invariance', 'at', 'a', 'transition', 'between', 'the', 'nematic', 'and', 'dwave', 'superconducting', 'states', 'the', 'nematic', 'and', 'dwave', 'pairing', 'operators', 'can', 'be', 'rotated', 'into', 'each', 'other', 'by', 'pseudospin', 'su2', 'generators', 'which', 'are', 'swave', 'pairing', 'and', 'electron', 'density', 'operators', 'the', 'difference', 'between', 'the', 'current', 'work', 'and', 'the', 'previous', 'o4', 'symmetry', 'at', 'a', 'transition', 'between', 'the', 'ddw', 'and', 'dwave', 'superconducting', 'states', 'nayak', '2000', 'phys', 'rev', 'b', '62', 'r6135', 'is', 'presented', '2', 'the', 'nematic', 'and', 'ddw', 'operators', 'transform', 'into', 'each', 'other', 'under', 'a', 'unitary', 'transformation', 'thus', 'when', 'a', 'hamiltonian', 'is', 'invariant', 'under', 'such', 'a', 'transformation', 'the', 'two', 'states', 'are', 'exactly', 'degenerate', 'the', 'competition', 'between', 'the', 'nematic', 'and', 'ddw', 'states', 'in', 'the', 'presence', 'of', 'a', 'degeneracy', 'breaking', 'term', 'is', 'discussed']] | [-0.23123794878566903, 0.2806717117583113, -0.044770301392834104, 0.035281913590318126, -0.04021448819465669, -0.17636041053504284, 0.037463974065446694, 0.3170943854044059, -0.22302407713141292, -0.25583875461348465, -0.0038343570436284477, -0.36218563643550233, -0.11591423926209765, 0.0589958027603903, 0.08448466469999402, 0.045740681953196013, -0.08738497031653034, -0.02169709982616561, -0.19431194385314093, -0.1990603809253246, 0.35343236565989045, -0.07266945577825286, 0.34527074064660285, 0.06453112905229708, 0.03210651178711227, 0.009433947244126882, 0.13960317369284375, -0.08070575624172177, -0.11337159105709621, 0.022503014131299487, 0.28073563150329783, -0.04606806425976434, 0.18322962572398996, -0.44257270589337816, -0.17910313588300986, 0.06605256337872041, 0.11945620757594172, 0.1336338236420748, 0.019548991622702617, -0.35478148400517445, 0.007460653334523418, -0.19506892001622222, -0.1068877232959494, -0.10927951889378684, 0.039187993305469196, -0.055615184254877804, -0.2702755034269233, 0.12803913355887095, 0.08717352793152844, 0.0757206218184105, -0.06388771810036685, -0.09340981370769441, -0.1067752642623548, 0.0030885087752332246, 0.05319270884085979, 0.12163102735898325, 0.07367667104200726, -0.08777583133861688, -0.12528585902681308, 0.35205665335857445, -0.005468060480364199, -0.16742194726664042, 0.14679235790224213, -0.10009398355614393, -0.09743339635564813, 0.11540322344683643, 0.05688257580623031, 0.009600964630953968, -0.09871443799316434, 0.08658436079775648, -0.046937824317449535, 0.17060792664664665, 0.051344314067890605, 0.07728765906566488, 0.22192477772311706, 0.13513526570667247, 0.06845654935376452, 0.11617118966033949, -0.0803678374188686, -0.12829656157742386, -0.33776947163444543, -0.1601788736713518, -0.20404059204738587, 0.01766807447784231, -0.03077857457018191, -0.1006429186024304, 0.43957036957144735, 0.08006823037950588, 0.21372031502292624, -0.09203885093115137, 0.2071604758068653, 0.09864233306808663, 0.028964029437546352, 0.08781176555452735, 0.22672880444276547, 0.17960727981990204, 0.042264787323905956, -0.33409771963155693, 0.009395001881888935, 0.07542582265367466] |
709.147 | On the Halo Occupation of Dark Baryons | We introduce a new technique that adopts the halo occupation framework for
understanding the origin of QSO absorption-line systems. Our initial study
focuses specifically on MgII absorbers. We construct a model of the gaseous
content in which the absorption equivalent width W_r is determined by the the
amount of cold gas, in the form of discrete clouds, along a sightline through a
halo. The two quantities that we specify per halo in the model are (1) the mean
absorption strength per unit surface mass density A_W(M), and (2) the mean
covering factor kappa_g(M) of the gaseous clouds. These parameters determine
the conditional probability distribution of W_r as a function of halo mass,
P(W_r|M). Two empirical measurements are applied to constrain the model: (i)
the absorber frequency distribution function and (ii) the W_r-dependent
clustering amplitude. We find that the data demand a rapid transition in the
gas content of halos at ~10^11.5 Msol/h, below which halos contain
predominantly cold gas and beyond which gas becomes predominantly hot. In order
to reproduce the observed overall strong clustering of the absorbers and the
anti-correlation between W_r and halo mass M, roughly 5% of gas in halos up to
10^14 Msol/h is required to be cold. The gas covering factor is near unity over
a wide range of halo mass, supporting that Mg II systems probe an unbiased
sample of typical galaxies. We discuss the implications of our study in the
contexts of mass assembly of distant galaxies and the origin of QSO absorption
line systems.
| astro-ph | we introduce a new technique that adopts the halo occupation framework for understanding the origin of qso absorptionline systems our initial study focuses specifically on mgii absorbers we construct a model of the gaseous content in which the absorption equivalent width w_r is determined by the the amount of cold gas in the form of discrete clouds along a sightline through a halo the two quantities that we specify per halo in the model are 1 the mean absorption strength per unit surface mass density a_wm and 2 the mean covering factor kappa_gm of the gaseous clouds these parameters determine the conditional probability distribution of w_r as a function of halo mass pw_rm two empirical measurements are applied to constrain the model i the absorber frequency distribution function and ii the w_rdependent clustering amplitude we find that the data demand a rapid transition in the gas content of halos at 10115 msolh below which halos contain predominantly cold gas and beyond which gas becomes predominantly hot in order to reproduce the observed overall strong clustering of the absorbers and the anticorrelation between w_r and halo mass m roughly 5 of gas in halos up to 1014 msolh is required to be cold the gas covering factor is near unity over a wide range of halo mass supporting that mg ii systems probe an unbiased sample of typical galaxies we discuss the implications of our study in the contexts of mass assembly of distant galaxies and the origin of qso absorption line systems | [['we', 'introduce', 'a', 'new', 'technique', 'that', 'adopts', 'the', 'halo', 'occupation', 'framework', 'for', 'understanding', 'the', 'origin', 'of', 'qso', 'absorptionline', 'systems', 'our', 'initial', 'study', 'focuses', 'specifically', 'on', 'mgii', 'absorbers', 'we', 'construct', 'a', 'model', 'of', 'the', 'gaseous', 'content', 'in', 'which', 'the', 'absorption', 'equivalent', 'width', 'w_r', 'is', 'determined', 'by', 'the', 'the', 'amount', 'of', 'cold', 'gas', 'in', 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709.1471 | Hypervelocity Stars III. The Space Density and Ejection History of Main
Sequence Stars from the Galactic Center | We report the discovery of 3 new unbound hypervelocity stars (HVSs), stars
traveling with such extreme velocities that dynamical ejection from a massive
black hole (MBH) is their only suggested origin. We also detect a population of
possibly bound HVSs. The significant asymmetry we observe in the velocity
distribution -- we find 26 stars with v_rf > 275 km/s and 1 star with v_rf <
-275 km/s -- shows that the HVSs must be short-lived, probably 3 - 4 Msun main
sequence stars. Any population of hypervelocity post-main sequence stars should
contain stars falling back onto the Galaxy, contrary to the observations. The
spatial distribution of HVSs also supports the main sequence interpretation:
longer-lived 3 Msun HVSs fill our survey volume; shorter-lived 4 Msun HVSs are
missing at faint magnitudes. We infer that there are 96 +- 10 HVSs of mass 3 -
4 Msun within R < 100 kpc, possibly enough HVSs to constrain ejection
mechanisms and potential models. Depending on the mass function of HVSs, we
predict that SEGUE may find up to 5 - 15 new HVSs. The travel times of our HVSs
favor a continuous ejection process, although a ~120 Myr-old burst of HVSs is
also allowed.
| astro-ph | we report the discovery of 3 new unbound hypervelocity stars hvss stars traveling with such extreme velocities that dynamical ejection from a massive black hole mbh is their only suggested origin we also detect a population of possibly bound hvss the significant asymmetry we observe in the velocity distribution we find 26 stars with v_rf 275 kms and 1 star with v_rf 275 kms shows that the hvss must be shortlived probably 3 4 msun main sequence stars any population of hypervelocity postmain sequence stars should contain stars falling back onto the galaxy contrary to the observations the spatial distribution of hvss also supports the main sequence interpretation longerlived 3 msun hvss fill our survey volume shorterlived 4 msun hvss are missing at faint magnitudes we infer that there are 96 10 hvss of mass 3 4 msun within r 100 kpc possibly enough hvss to constrain ejection mechanisms and potential models depending on the mass function of hvss we predict that segue may find up to 5 15 new hvss the travel times of our hvss favor a continuous ejection process although a 120 myrold burst of hvss is also allowed | [['we', 'report', 'the', 'discovery', 'of', '3', 'new', 'unbound', 'hypervelocity', 'stars', 'hvss', 'stars', 'traveling', 'with', 'such', 'extreme', 'velocities', 'that', 'dynamical', 'ejection', 'from', 'a', 'massive', 'black', 'hole', 'mbh', 'is', 'their', 'only', 'suggested', 'origin', 'we', 'also', 'detect', 'a', 'population', 'of', 'possibly', 'bound', 'hvss', 'the', 'significant', 'asymmetry', 'we', 'observe', 'in', 'the', 'velocity', 'distribution', 'we', 'find', '26', 'stars', 'with', 'v_rf', '275', 'kms', 'and', '1', 'star', 'with', 'v_rf', '275', 'kms', 'shows', 'that', 'the', 'hvss', 'must', 'be', 'shortlived', 'probably', '3', '4', 'msun', 'main', 'sequence', 'stars', 'any', 'population', 'of', 'hypervelocity', 'postmain', 'sequence', 'stars', 'should', 'contain', 'stars', 'falling', 'back', 'onto', 'the', 'galaxy', 'contrary', 'to', 'the', 'observations', 'the', 'spatial', 'distribution', 'of', 'hvss', 'also', 'supports', 'the', 'main', 'sequence', 'interpretation', 'longerlived', '3', 'msun', 'hvss', 'fill', 'our', 'survey', 'volume', 'shorterlived', '4', 'msun', 'hvss', 'are', 'missing', 'at', 'faint', 'magnitudes', 'we', 'infer', 'that', 'there', 'are', '96', '10', 'hvss', 'of', 'mass', '3', '4', 'msun', 'within', 'r', '100', 'kpc', 'possibly', 'enough', 'hvss', 'to', 'constrain', 'ejection', 'mechanisms', 'and', 'potential', 'models', 'depending', 'on', 'the', 'mass', 'function', 'of', 'hvss', 'we', 'predict', 'that', 'segue', 'may', 'find', 'up', 'to', '5', '15', 'new', 'hvss', 'the', 'travel', 'times', 'of', 'our', 'hvss', 'favor', 'a', 'continuous', 'ejection', 'process', 'although', 'a', '120', 'myrold', 'burst', 'of', 'hvss', 'is', 'also', 'allowed']] | [-0.09070075211290411, 0.2104108661733335, -0.08403702552277537, 0.17012364095509724, -0.14594459800961582, -0.034742152297136876, 0.11052768738409213, 0.3826056687394157, -0.12918612704136953, -0.3878802463489895, 0.008888910101328898, -0.309725192229962, 0.008699914746102877, 0.18083394724696214, -0.07757790079510112, -0.06897986115078918, 0.14993866170091982, -0.04167552066307204, -0.026468209121048858, -0.30496898478789564, 0.2717972144206821, -0.020257442606331704, 0.05782006074453724, -0.05955357360168515, 0.092395559907042, -0.15971515945057035, -0.019570510591014074, -0.12466705416712405, -0.1992060166723301, 0.007853682163840858, 0.16346433136969077, 0.21648965968233824, 0.24214016144590764, -0.3001387524564052, -0.20268449683411896, 0.07369739266990412, 0.3001767488143135, 0.06848110628197901, -0.12157081542015173, -0.28949509381345706, 0.14650586145747488, -0.20909895498152764, -0.2488551547045669, 0.09078405560770382, 0.10913207485039796, 0.07348755703060306, -0.21522908778570127, 0.19384438141378268, 0.052957790815677676, 0.05782283160700293, -0.12564955239092038, -0.14367056280085913, -0.08105470625741873, 0.04089694391344286, 0.08110122263118076, 0.1142310206463056, 0.17547631393487487, -0.052370726383742294, -0.04329599058595098, 0.4013751684348487, -0.032241646071270225, 0.027834040787032183, 0.2335811916612632, -0.26645388284183963, -0.1824804026085379, 0.17042087505554568, 0.1958841601781387, 0.15021721137357721, -0.176023598263176, -0.08828819732540676, -0.019399557905368663, 0.24211425314327548, 0.12030113550766448, 0.05402591907606317, 0.3899712788746304, 0.11612001880106011, 0.050529764152694646, -0.014196777966996402, -0.28769231306675164, -0.031059280813982088, -0.2110372581082629, -0.10516735055140695, -0.09545839303488417, 0.14951573118620823, -0.19077512551166365, -0.08485489121570329, 0.31695003415370593, 0.13776796816879747, 0.24520639520900053, 0.06655223160123569, 0.2248735298635438, 0.01997087910785922, 0.11525036134723148, 0.1901704098903186, 0.31540776169276796, 0.19191627394684474, 0.06340317332311922, -0.17617583932709144, 0.06067194260079608, -0.03987619331746828] |
709.1472 | Constraints on Circumstellar Material Around the Type Ia Supernova
2007af | Patat et al. recently inferred the existence of circumstellar material around
a normal Type Ia supernova (SN) for the first time, finding time-variable Na I
D absorption lines in the spectrum of SN 2006X. We present high-resolution
spectroscopy of the bright SN Ia 2007af at three epochs and search for
variability in any of the Na D absorption components. Over the time range from
4 days before to 24 days after maximum light, we find that the host-galaxy Na D
lines appear to be of interstellar rather than circumstellar origin and do not
vary down to the level of 18 mA (column density of 2 x 10^11 cm^-2). We limit
any circumstellar absorption lines to be weaker than ~10 mA (6 x 10^10 cm^-2).
For the case of material distributed in spherically symmetric shells of radius
~10^16 cm surrounding the progenitor system, we place an upper limit on the
shell mass of ~(3 x 10^-8)/X Msun, where X is the Na ionization fraction. We
also show that SN 2007af is a photometrically and spectroscopically normal SN
Ia. Assuming that the variable Na D lines in SN 2006X came from circumstellar
matter, we therefore conclude that either there is a preferred geometry for the
detection of variable absorption components in Type Ia supernovae, or SN 2007af
and SN 2006X had different types of progenitor systems.
| astro-ph | patat et al recently inferred the existence of circumstellar material around a normal type ia supernova sn for the first time finding timevariable na i d absorption lines in the spectrum of sn 2006x we present highresolution spectroscopy of the bright sn ia 2007af at three epochs and search for variability in any of the na d absorption components over the time range from 4 days before to 24 days after maximum light we find that the hostgalaxy na d lines appear to be of interstellar rather than circumstellar origin and do not vary down to the level of 18 ma column density of 2 x 1011 cm2 we limit any circumstellar absorption lines to be weaker than 10 ma 6 x 1010 cm2 for the case of material distributed in spherically symmetric shells of radius 1016 cm surrounding the progenitor system we place an upper limit on the shell mass of 3 x 108x msun where x is the na ionization fraction we also show that sn 2007af is a photometrically and spectroscopically normal sn ia assuming that the variable na d lines in sn 2006x came from circumstellar matter we therefore conclude that either there is a preferred geometry for the detection of variable absorption components in type ia supernovae or sn 2007af and sn 2006x had different types of progenitor systems | [['patat', 'et', 'al', 'recently', 'inferred', 'the', 'existence', 'of', 'circumstellar', 'material', 'around', 'a', 'normal', 'type', 'ia', 'supernova', 'sn', 'for', 'the', 'first', 'time', 'finding', 'timevariable', 'na', 'i', 'd', 'absorption', 'lines', 'in', 'the', 'spectrum', 'of', 'sn', '2006x', 'we', 'present', 'highresolution', 'spectroscopy', 'of', 'the', 'bright', 'sn', 'ia', '2007af', 'at', 'three', 'epochs', 'and', 'search', 'for', 'variability', 'in', 'any', 'of', 'the', 'na', 'd', 'absorption', 'components', 'over', 'the', 'time', 'range', 'from', '4', 'days', 'before', 'to', '24', 'days', 'after', 'maximum', 'light', 'we', 'find', 'that', 'the', 'hostgalaxy', 'na', 'd', 'lines', 'appear', 'to', 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709.1473 | Converting Halpha luminosities into SFRs | Star-formation rates (SFRs) of galaxies are commonly calculated by converting
the measured Halpha luminosities (L_Halpha) into current SFRs. This conversion
is based on a constant initial mass function (IMF) independent of the total
SFR. As recently recognised the maximum stellar mass in a star cluster is
limited by the embedded total cluster mass and, in addition, the maximum
embedded star cluster mass is constrained by the current SFR. The combination
of these two relations leads to an integrated galaxial initial stellar mass
function (IGIMF, the IMF for the whole galaxy) which is steeper in the high
mass regime than the constant canonical IMF, and is dependent on the SFR of the
galaxy. Consequently, the L_Halpha-SFR relation becomes non-linear and flattens
for low SFRs. Especially for dwarf galaxies the SFRs can be underestimated by
up to three orders of magnitude. We revise the existing linear L_Halpha-SFR
relations using our IGIMF notion. These are likely to lead to a revision of the
cosmological star formation histories. We also demonstrate that in the case of
the Sculptor dwarf irregular galaxies the IGIMF-formalism implies a linear
dependence of the total SFR on the total galaxy gas mass. A constant gas
depletion time scale of a few Gyrs results independently of the galaxy gas mass
with a reduced scatter compared to the conventional results. Our findings are
qualitatively independent of the explicit choice of the IGIMF details and
challenges current star formation theory in dwarf galaxies.
| astro-ph | starformation rates sfrs of galaxies are commonly calculated by converting the measured halpha luminosities l_halpha into current sfrs this conversion is based on a constant initial mass function imf independent of the total sfr as recently recognised the maximum stellar mass in a star cluster is limited by the embedded total cluster mass and in addition the maximum embedded star cluster mass is constrained by the current sfr the combination of these two relations leads to an integrated galaxial initial stellar mass function igimf the imf for the whole galaxy which is steeper in the high mass regime than the constant canonical imf and is dependent on the sfr of the galaxy consequently the l_halphasfr relation becomes nonlinear and flattens for low sfrs especially for dwarf galaxies the sfrs can be underestimated by up to three orders of magnitude we revise the existing linear l_halphasfr relations using our igimf notion these are likely to lead to a revision of the cosmological star formation histories we also demonstrate that in the case of the sculptor dwarf irregular galaxies the igimfformalism implies a linear dependence of the total sfr on the total galaxy gas mass a constant gas depletion time scale of a few gyrs results independently of the galaxy gas mass with a reduced scatter compared to the conventional results our findings are qualitatively independent of the explicit choice of the igimf details and challenges current star formation theory in dwarf galaxies | [['starformation', 'rates', 'sfrs', 'of', 'galaxies', 'are', 'commonly', 'calculated', 'by', 'converting', 'the', 'measured', 'halpha', 'luminosities', 'l_halpha', 'into', 'current', 'sfrs', 'this', 'conversion', 'is', 'based', 'on', 'a', 'constant', 'initial', 'mass', 'function', 'imf', 'independent', 'of', 'the', 'total', 'sfr', 'as', 'recently', 'recognised', 'the', 'maximum', 'stellar', 'mass', 'in', 'a', 'star', 'cluster', 'is', 'limited', 'by', 'the', 'embedded', 'total', 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709.1474 | The Star Formation Law in a Multifractal ISM | The surface density of the star formation rate in different galaxies, as well
as in different parts of a single galaxy, scales nonlinearly with the surface
density of the total gas. This observationally established relation is known as
the Kennicutt-Schmidt star formation law. The slope of the star formation law
has been shown to change with the density of the gas against which the star
formation rate is plotted. This dependence implies a nonlinear scaling between
the dense gas and the total gas surface densities within galaxies. Here, we
explore a possible interpretation of this scaling as a property of the geometry
of the interstellar medium (ISM), and we find that it arises naturally if the
topology of the ISM is multifractal. Under the additional assumption that, at
very high densities, the star formation timescale is roughly constant, the star
formation law itself can also be recovered as a consequence of the multifractal
geometry of the ISM. The slope of the scaling depends on the width of the
global probability density function (PDF), and is between 1.5 and 1.6 for wide
PDFs relevant to high-mass systems, while it is higher for narrower PDFs
appropriate for lower-mass dwarf galaxies, in agreement with observations.
| astro-ph | the surface density of the star formation rate in different galaxies as well as in different parts of a single galaxy scales nonlinearly with the surface density of the total gas this observationally established relation is known as the kennicuttschmidt star formation law the slope of the star formation law has been shown to change with the density of the gas against which the star formation rate is plotted this dependence implies a nonlinear scaling between the dense gas and the total gas surface densities within galaxies here we explore a possible interpretation of this scaling as a property of the geometry of the interstellar medium ism and we find that it arises naturally if the topology of the ism is multifractal under the additional assumption that at very high densities the star formation timescale is roughly constant the star formation law itself can also be recovered as a consequence of the multifractal geometry of the ism the slope of the scaling depends on the width of the global probability density function pdf and is between 15 and 16 for wide pdfs relevant to highmass systems while it is higher for narrower pdfs appropriate for lowermass dwarf galaxies in agreement with observations | [['the', 'surface', 'density', 'of', 'the', 'star', 'formation', 'rate', 'in', 'different', 'galaxies', 'as', 'well', 'as', 'in', 'different', 'parts', 'of', 'a', 'single', 'galaxy', 'scales', 'nonlinearly', 'with', 'the', 'surface', 'density', 'of', 'the', 'total', 'gas', 'this', 'observationally', 'established', 'relation', 'is', 'known', 'as', 'the', 'kennicuttschmidt', 'star', 'formation', 'law', 'the', 'slope', 'of', 'the', 'star', 'formation', 'law', 'has', 'been', 'shown', 'to', 'change', 'with', 'the', 'density', 'of', 'the', 'gas', 'against', 'which', 'the', 'star', 'formation', 'rate', 'is', 'plotted', 'this', 'dependence', 'implies', 'a', 'nonlinear', 'scaling', 'between', 'the', 'dense', 'gas', 'and', 'the', 'total', 'gas', 'surface', 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709.1475 | Discovery of Very High Energy Gamma-Rays from the Distant Flat Spectrum
Radio Quasar 3C 279 with the MAGIC Telescope | The quasar 3C 279 is one of the best-studied flat spectrum radio quasars. It
is located at a comparatively large redshift of z=0.536: E>100 GeV observations
of such distant sources were until recently impossible both due to the expected
steep energy spectrum and the expected attenuation of the gamma-rays by the
extragalactic background light. Here we present results on the observation of
3C 279 with the MAGIC telescope in early 2006. We report the detection of a
significant very high energy gamma-ray signal in the MAGIC energy range on the
observation night of 2006 February 23.
| astro-ph | the quasar 3c 279 is one of the beststudied flat spectrum radio quasars it is located at a comparatively large redshift of z0536 e100 gev observations of such distant sources were until recently impossible both due to the expected steep energy spectrum and the expected attenuation of the gammarays by the extragalactic background light here we present results on the observation of 3c 279 with the magic telescope in early 2006 we report the detection of a significant very high energy gammaray signal in the magic energy range on the observation night of 2006 february 23 | [['the', 'quasar', '3c', '279', 'is', 'one', 'of', 'the', 'beststudied', 'flat', 'spectrum', 'radio', 'quasars', 'it', 'is', 'located', 'at', 'a', 'comparatively', 'large', 'redshift', 'of', 'z0536', 'e100', 'gev', 'observations', 'of', 'such', 'distant', 'sources', 'were', 'until', 'recently', 'impossible', 'both', 'due', 'to', 'the', 'expected', 'steep', 'energy', 'spectrum', 'and', 'the', 'expected', 'attenuation', 'of', 'the', 'gammarays', 'by', 'the', 'extragalactic', 'background', 'light', 'here', 'we', 'present', 'results', 'on', 'the', 'observation', 'of', '3c', '279', 'with', 'the', 'magic', 'telescope', 'in', 'early', '2006', 'we', 'report', 'the', 'detection', 'of', 'a', 'significant', 'very', 'high', 'energy', 'gammaray', 'signal', 'in', 'the', 'magic', 'energy', 'range', 'on', 'the', 'observation', 'night', 'of', '2006', 'february', '23']] | [-0.07933182674848165, 0.14546634639555123, -0.0530605079450955, 0.10984189363080077, -0.10057598410639912, -0.09259835552074946, 0.0564001892998931, 0.44863070570863783, -0.107516369074195, -0.43090214147014194, 0.09253671020511926, -0.3235362168246259, -0.0198208371924314, 0.22051118803210557, -0.02111265690473374, -0.014948445614815379, 0.090510826733104, -0.08132607898733113, 0.034031779535780515, -0.22485700222023297, 0.23215774061342623, 0.22289026030921377, 0.27161289572056074, 0.034186835851869546, 0.1382064434728818, -0.05028955834131921, -0.0773980241647223, -0.0937699608815213, -0.06949782235703121, 0.05031122502502209, 0.25652432529022917, 0.08900655382846405, 0.19493979023536667, -0.288038098209654, -0.2102781649203583, 0.1237301027091841, 0.08109265748256196, 0.028488028678111732, -0.03890306783675138, -0.32642096537165344, 0.022268159188873444, -0.16734183511774367, -0.15367315595115846, 0.13646989960155528, 0.05077609206394603, 0.00025238903375187266, -0.11436329486779566, 0.12510544062630893, -0.03675747165592232, 0.06497029554157052, -0.12460881733083322, -0.07091146011468179, -0.018084982391883386, 0.04738328050007112, 0.0749271021874544, 0.06209395659971051, 0.08665878809066878, -0.11264404437194268, -0.08801491362585996, 0.3927852072714207, -0.04768713427862773, 0.0954891726335821, 0.19780003877531271, -0.22197704973223154, -0.24087327929737512, 0.22379321668025418, 0.19858160965183438, 0.11881237533816602, -0.09946067475054103, 0.0628586532978564, -0.024725168841541745, 0.21047094344733827, 0.03405759829426339, 0.0837801430025138, 0.2593694193055853, 0.12538132354772338, 0.032191087326888614, 0.11621281725092558, -0.32659208427746006, 0.03860416993848048, -0.29089109019453946, -0.04818942051376022, -0.21377762741030892, 0.16213776046060957, -0.08634976529704848, -0.08288726828989941, 0.44096696958877146, 0.05287082801502644, 0.20037097445310792, 0.015873659086840537, 0.2946149042497079, 0.08774837202508934, 0.029560610821742255, 0.1356760005413283, 0.4476793895786007, 0.11195003536704462, 0.16920447773494138, -0.13482911488972604, 0.019426312297582626, -0.06671611945300053] |
709.1476 | Considerations for the habitable zone of super-Earth planets in Gliese
581 | We assess the possibility that planets Gliese 581 c and d are within the
habitable zone. In analogy with our solar system, we use an empirical
definition of the habitable zone. We include assumptions such as planetary
climates, and atmospheric circulation on gravitationally locked synchronous
rotation. Based on the different scenarios, we argue that both planets in
Gliese 581 could develop conditions for a habitable zone. In an Earth-like
environment planet d could be within a habitable zone, if an atmosphere
producing greenhouse effect of 100K could have developed. If the planets are
gravitationally locked-in, planet c could develop atmospheric circulation that
would allow it to reach temperatures consistent with the existence of surface
liquid water, which in turn could support life.
| astro-ph | we assess the possibility that planets gliese 581 c and d are within the habitable zone in analogy with our solar system we use an empirical definition of the habitable zone we include assumptions such as planetary climates and atmospheric circulation on gravitationally locked synchronous rotation based on the different scenarios we argue that both planets in gliese 581 could develop conditions for a habitable zone in an earthlike environment planet d could be within a habitable zone if an atmosphere producing greenhouse effect of 100k could have developed if the planets are gravitationally lockedin planet c could develop atmospheric circulation that would allow it to reach temperatures consistent with the existence of surface liquid water which in turn could support life | [['we', 'assess', 'the', 'possibility', 'that', 'planets', 'gliese', '581', 'c', 'and', 'd', 'are', 'within', 'the', 'habitable', 'zone', 'in', 'analogy', 'with', 'our', 'solar', 'system', 'we', 'use', 'an', 'empirical', 'definition', 'of', 'the', 'habitable', 'zone', 'we', 'include', 'assumptions', 'such', 'as', 'planetary', 'climates', 'and', 'atmospheric', 'circulation', 'on', 'gravitationally', 'locked', 'synchronous', 'rotation', 'based', 'on', 'the', 'different', 'scenarios', 'we', 'argue', 'that', 'both', 'planets', 'in', 'gliese', '581', 'could', 'develop', 'conditions', 'for', 'a', 'habitable', 'zone', 'in', 'an', 'earthlike', 'environment', 'planet', 'd', 'could', 'be', 'within', 'a', 'habitable', 'zone', 'if', 'an', 'atmosphere', 'producing', 'greenhouse', 'effect', 'of', '100k', 'could', 'have', 'developed', 'if', 'the', 'planets', 'are', 'gravitationally', 'lockedin', 'planet', 'c', 'could', 'develop', 'atmospheric', 'circulation', 'that', 'would', 'allow', 'it', 'to', 'reach', 'temperatures', 'consistent', 'with', 'the', 'existence', 'of', 'surface', 'liquid', 'water', 'which', 'in', 'turn', 'could', 'support', 'life']] | [-0.15021665057274283, 0.2114230679975752, -0.061113253793083744, 0.05761034827828255, -0.11628125990611181, -0.05600711339931996, 0.13440750431666365, 0.3052325948584275, -0.15730245032759962, -0.3262563858517125, 0.11929954549862591, -0.22840154136828772, -0.14114024320647853, 0.20977405453726772, -0.14127187938887442, 0.016790796950131227, 0.1552011930626115, -0.042881615141685286, 0.02104021510210453, -0.24704538905214457, 0.28465705533649344, 0.06035322526118672, 0.033325735945254564, 0.04739036833577347, -0.016272612942810186, -0.1158271339344105, 0.058999165934586865, -0.08230642614061714, -0.21004494194786558, 0.011630035696367993, 0.28631060119321355, 0.156753403172813, 0.22826522303989433, -0.4531400473025001, -0.28667339004698345, 0.07165028797615258, 0.15509398003704236, 0.028938888300202605, -0.01994982755888009, -0.2589541930919055, 0.08606281104024316, -0.19924556854520695, -0.19417562809024677, -0.03040498511132891, 0.06785113217125906, -0.07662372473177889, -0.28511345379634717, 0.03032509395261066, 0.05628546775265246, 0.1601223131779154, -0.17260616035658682, -0.14440315931779715, -0.1273370134075493, 0.09114416267677042, -0.03579979449449504, -0.018717113508247448, 0.23845696287061713, -0.018370993943029983, -0.011937458487990939, 0.4401584070359097, -0.1784484947527774, -0.10318564624739353, 0.32056491410733795, -0.2272608679581861, -0.08231361917998703, 0.1193858404704904, 0.20633177236810357, 0.1269013107464206, -0.16574282164028922, -0.010696389087376596, -0.07021860107703165, 0.1478340591601722, 0.09069769741341349, 0.0006844476666912192, 0.44972203876517836, 0.18692971429344815, 0.13024316995488633, 0.01498641463695094, -0.2345798750079741, -0.05811991059740425, -0.18837645189974028, -0.1884216717635205, -0.10333605402256132, -0.012202136752913232, -0.05039339821206475, -0.13745831042054857, 0.32640817877454836, 0.23192069022992595, 0.0896803131403371, 0.004757844553840515, 0.2580647509779827, 0.05233378301863177, 0.08259952859380512, 0.151331536754294, 0.35369135518787337, 0.09465214591015314, 0.06628025292999065, -0.2618555199492295, 0.14782246471798718, -0.017754559107430158] |
709.1477 | Random walks on quasisymmetric functions | Conditions are provided under which an endomorphism on quasisymmetric
functions gives rise to a left random walk on the descent algebra which is also
a lumping of a left random walk on permutations. Spectral results are also
obtained. Several well-studied random walks are now realized this way:
Stanley's QS-distribution results from endomorphisms given by evaluation maps,
a-shuffles result from the a-th convolution power of the universal character,
and the Tchebyshev operator of the second kind introduced recently by Ehrenborg
and Readdy yields traditional riffle shuffles. A conjecture of Ehrenborg
regarding the spectra for a family of random walks on ab-words is proven. A
theorem of Stembridge from the theory of enriched P-partitions is also
recovered as a special case.
| math.CO math.PR | conditions are provided under which an endomorphism on quasisymmetric functions gives rise to a left random walk on the descent algebra which is also a lumping of a left random walk on permutations spectral results are also obtained several wellstudied random walks are now realized this way stanleys qsdistribution results from endomorphisms given by evaluation maps ashuffles result from the ath convolution power of the universal character and the tchebyshev operator of the second kind introduced recently by ehrenborg and readdy yields traditional riffle shuffles a conjecture of ehrenborg regarding the spectra for a family of random walks on abwords is proven a theorem of stembridge from the theory of enriched ppartitions is also recovered as a special case | [['conditions', 'are', 'provided', 'under', 'which', 'an', 'endomorphism', 'on', 'quasisymmetric', 'functions', 'gives', 'rise', 'to', 'a', 'left', 'random', 'walk', 'on', 'the', 'descent', 'algebra', 'which', 'is', 'also', 'a', 'lumping', 'of', 'a', 'left', 'random', 'walk', 'on', 'permutations', 'spectral', 'results', 'are', 'also', 'obtained', 'several', 'wellstudied', 'random', 'walks', 'are', 'now', 'realized', 'this', 'way', 'stanleys', 'qsdistribution', 'results', 'from', 'endomorphisms', 'given', 'by', 'evaluation', 'maps', 'ashuffles', 'result', 'from', 'the', 'ath', 'convolution', 'power', 'of', 'the', 'universal', 'character', 'and', 'the', 'tchebyshev', 'operator', 'of', 'the', 'second', 'kind', 'introduced', 'recently', 'by', 'ehrenborg', 'and', 'readdy', 'yields', 'traditional', 'riffle', 'shuffles', 'a', 'conjecture', 'of', 'ehrenborg', 'regarding', 'the', 'spectra', 'for', 'a', 'family', 'of', 'random', 'walks', 'on', 'abwords', 'is', 'proven', 'a', 'theorem', 'of', 'stembridge', 'from', 'the', 'theory', 'of', 'enriched', 'ppartitions', 'is', 'also', 'recovered', 'as', 'a', 'special', 'case']] | [-0.10149034500876762, 0.11712789762845957, -0.11638491707532828, 0.04566639730634553, -0.058252728831199606, -0.14485649483133878, 0.02878965095291717, 0.34721936228492395, -0.31456432571827336, -0.19592562785115222, 0.11424164812819197, -0.2589403248616847, -0.1862944003098227, 0.2629239770888897, -0.1420642483160542, 0.04516659766146592, 0.037397949731555476, 0.06334259542476, -0.046350396920702065, -0.2866346076269361, 0.32297704901530183, 0.0440141217028401, 0.23859106838414124, 0.03745933159320727, 0.10682957132892876, 0.013081023321037406, -0.058471766657774045, 0.011883730098910245, -0.12217098427861166, 0.10542727735873055, 0.1695210994943848, 0.09807590237850773, 0.2430679274738991, -0.3418400328092534, -0.14364800463502841, 0.10728547488066272, 0.10548953435801227, 0.06349917289857142, -0.07345004163778804, -0.32446697695333315, 0.08759512065745216, -0.17658509566159597, -0.10960856404813842, -0.05389560913618911, 0.027625061599698304, 0.06617772730131602, -0.30568067658419623, 0.014728949446650623, 0.1488169701609375, 0.08967525328927, 0.01243396088127689, -0.12835175958702918, -0.019110551457209832, 0.07976721983065764, -0.01886713649306832, 0.030049009092055774, 0.07305194457575422, -0.07486661699809262, -0.1724743608802814, 0.37308195217438284, -0.023565383314893676, -0.1989417197825066, 0.12022522160109005, -0.13626453481315523, -0.19388296384492826, 0.0866012127983689, 0.07227574786821638, 0.14262484308685466, -0.11177401907806253, 0.13876478193259542, -0.17932985627076364, 0.06074156055371437, 0.12795999078963208, 0.008763955217577389, 0.13147002982842768, 0.04801956297436344, 0.0829497705382327, 0.19877686560683852, 0.020658042948243433, -0.0858497562665685, -0.28343370040087834, -0.12371020406034999, -0.20672221900092375, 0.12086203959288783, -0.1278269116639798, -0.2075101222184583, 0.4307341037542912, 0.09481660109655611, 0.20856656563058817, 0.1435957372626129, 0.19377741257154285, 0.12314369721269909, 0.05170804508439875, 0.017827978177655465, 0.08338303637995931, 0.2567748223102234, 0.06005050072542809, -0.08810414733582955, 0.05912602117991653, 0.2144722181115428] |
709.1478 | Efficient one- and two-qubit pulsed gates for an oscillator stabilized
Josephson qubit | We present theoretical schemes for performing high-fidelity one- and
two-qubit pulsed gates for a superconducting flux qubit. The "IBM qubit"
consists of three Josephson junctions, three loops, and a superconducting
transmission line. Assuming a fixed inductive qubit-qubit coupling, we show
that the effective qubit-qubit interaction is tunable by changing the applied
fluxes, and can be made negligible, allowing one to perform high fidelity
single qubit gates. Our schemes are tailored to alleviate errors due to 1/f
noise; we find gates with only 1% loss of fidelity due to this source, for
pulse times in the range of 20-30ns for one-qubit gates (Z rotations,
Hadamard), and 60ns for a two-qubit gate (controlled-Z). Our relaxation and
dephasing time estimates indicate a comparable loss of fidelity from this
source. The control of leakage plays an important role in the design of our
shaped pulses, preventing shorter pulse times. However, we have found that
imprecision in the control of the quantum phase plays the major role in the
limitation of the fidelity of our gates.
| quant-ph cond-mat.supr-con | we present theoretical schemes for performing highfidelity one and twoqubit pulsed gates for a superconducting flux qubit the ibm qubit consists of three josephson junctions three loops and a superconducting transmission line assuming a fixed inductive qubitqubit coupling we show that the effective qubitqubit interaction is tunable by changing the applied fluxes and can be made negligible allowing one to perform high fidelity single qubit gates our schemes are tailored to alleviate errors due to 1f noise we find gates with only 1 loss of fidelity due to this source for pulse times in the range of 2030ns for onequbit gates z rotations hadamard and 60ns for a twoqubit gate controlledz our relaxation and dephasing time estimates indicate a comparable loss of fidelity from this source the control of leakage plays an important role in the design of our shaped pulses preventing shorter pulse times however we have found that imprecision in the control of the quantum phase plays the major role in the limitation of the fidelity of our gates | [['we', 'present', 'theoretical', 'schemes', 'for', 'performing', 'highfidelity', 'one', 'and', 'twoqubit', 'pulsed', 'gates', 'for', 'a', 'superconducting', 'flux', 'qubit', 'the', 'ibm', 'qubit', 'consists', 'of', 'three', 'josephson', 'junctions', 'three', 'loops', 'and', 'a', 'superconducting', 'transmission', 'line', 'assuming', 'a', 'fixed', 'inductive', 'qubitqubit', 'coupling', 'we', 'show', 'that', 'the', 'effective', 'qubitqubit', 'interaction', 'is', 'tunable', 'by', 'changing', 'the', 'applied', 'fluxes', 'and', 'can', 'be', 'made', 'negligible', 'allowing', 'one', 'to', 'perform', 'high', 'fidelity', 'single', 'qubit', 'gates', 'our', 'schemes', 'are', 'tailored', 'to', 'alleviate', 'errors', 'due', 'to', '1f', 'noise', 'we', 'find', 'gates', 'with', 'only', '1', 'loss', 'of', 'fidelity', 'due', 'to', 'this', 'source', 'for', 'pulse', 'times', 'in', 'the', 'range', 'of', '2030ns', 'for', 'onequbit', 'gates', 'z', 'rotations', 'hadamard', 'and', '60ns', 'for', 'a', 'twoqubit', 'gate', 'controlledz', 'our', 'relaxation', 'and', 'dephasing', 'time', 'estimates', 'indicate', 'a', 'comparable', 'loss', 'of', 'fidelity', 'from', 'this', 'source', 'the', 'control', 'of', 'leakage', 'plays', 'an', 'important', 'role', 'in', 'the', 'design', 'of', 'our', 'shaped', 'pulses', 'preventing', 'shorter', 'pulse', 'times', 'however', 'we', 'have', 'found', 'that', 'imprecision', 'in', 'the', 'control', 'of', 'the', 'quantum', 'phase', 'plays', 'the', 'major', 'role', 'in', 'the', 'limitation', 'of', 'the', 'fidelity', 'of', 'our', 'gates']] | [-0.1969495841740247, 0.15751282557672205, 0.009768907807986525, 0.02367516098174212, 0.05716405343127382, -0.2337373794933014, 0.11072654774248161, 0.4506194372606628, -0.19469425142468774, -0.32079871377962477, 0.04243571910842815, -0.21549084785613506, -0.05930942683754598, 0.29402774162042666, -0.06911968459813472, 0.10392698894857484, 0.06300881177953938, -0.05988291889867362, -0.09571851811590879, -0.2507175925085047, 0.2681115383583614, 0.03317643668543657, 0.27992884457001793, 0.03051161482272779, 0.11800280424821026, -0.011240885036942714, 0.06006995304761564, -0.09073531549314366, -0.049046006237639474, 0.0754583754001514, 0.249391053200987, 0.0326369131970055, 0.24236159284106074, -0.4659935069106081, -0.19993484833633857, 0.07502537464777774, 0.12938854581238154, 0.18979431561259416, -0.04590228569406249, -0.2882528696428327, 0.02679109664853005, -0.17390926641357296, -0.0412687160557492, -0.08861773320857216, 0.02144314064644277, -0.006822849261601839, -0.2939643567099291, 0.07188503009126768, 0.08823059336624711, 0.03252288592869745, 0.04149917890523177, -0.03884771873982733, 0.029979312595199138, 0.1470302896656315, -0.05427823956124485, 0.053413532079909655, 0.20437772328937975, -0.10578607912723194, -0.1622374569038477, 0.298666728983688, -0.044709629499736954, -0.16445927020600615, 0.11512873116606737, -0.09567335239091121, -0.0605429250637398, 0.09717411014306195, 0.11368980034911895, 0.07529671045896762, -0.1290169788606684, 0.03716329324079732, 0.08701267312554752, 0.2753243113977506, 0.06370523601688226, 0.1203511709046057, 0.1780587881036541, 0.16412039243287463, 0.10722065531984246, 0.195855217820773, -0.12448889854542144, -0.07757536159170901, -0.31869769181837054, -0.1526215229799752, -0.19389338414732585, 0.11489681545644999, -0.07462313268016955, -0.13115410706959665, 0.4367019909023143, 0.17824954754426417, 0.15749715343665552, 0.0047217292492004, 0.3142264657160815, 0.13622951661510502, 0.10198109788162743, 0.05800947607987088, 0.2503111042739714, 0.1768313646357616, 0.03776283626288847, -0.33235540962367155, 0.061517816291683736, -0.048956222244647934] |
709.1479 | Weak lensing ellipticities in a strong lensing regime | It is now routine to measure the weak gravitational lensing shear signal from
the mean ellipticity of distant galaxies. However, conversion between
ellipticity and shear assumes local linearity of the lensing potential (ie that
the spatial derivatives of the shear are small), and this condition is not
satisfied in some of the most interesting regions of the sky. We extend a
derivation of lensing equations to include higher order terms, and assess the
level of biases introduced by assuming that first-order weak lensing theory
holds in a relatively strong shear regime. We find that, even in a worst-case
scenario, a fully linear analysis is accurate to within 1% outside ~1.07 times
the Einstein radius of a lens, by deriving an analytic function that can be
used to estimate the applicability of any first-order analysis. The effect is
too small to explain the discrepancy between weak- and strong-lensing estimates
of the mass of the bullet cluster, and should not impact cluster surveys for
the forseeable future. In fact, it means that arclets can be used to measure
shears closer to a cluster core than has been generally appreciated. However,
at the level of accuracy demanded by future lensing surveys, this bias ought to
be considered in measurements of the inner slope of cluster mass distributions
and the small-scale end of the mass power spectrum. Both of these are central
in determining the relationship between baryonic and dark matter.
| astro-ph | it is now routine to measure the weak gravitational lensing shear signal from the mean ellipticity of distant galaxies however conversion between ellipticity and shear assumes local linearity of the lensing potential ie that the spatial derivatives of the shear are small and this condition is not satisfied in some of the most interesting regions of the sky we extend a derivation of lensing equations to include higher order terms and assess the level of biases introduced by assuming that firstorder weak lensing theory holds in a relatively strong shear regime we find that even in a worstcase scenario a fully linear analysis is accurate to within 1 outside 107 times the einstein radius of a lens by deriving an analytic function that can be used to estimate the applicability of any firstorder analysis the effect is too small to explain the discrepancy between weak and stronglensing estimates of the mass of the bullet cluster and should not impact cluster surveys for the forseeable future in fact it means that arclets can be used to measure shears closer to a cluster core than has been generally appreciated however at the level of accuracy demanded by future lensing surveys this bias ought to be considered in measurements of the inner slope of cluster mass distributions and the smallscale end of the mass power spectrum both of these are central in determining the relationship between baryonic and dark matter | [['it', 'is', 'now', 'routine', 'to', 'measure', 'the', 'weak', 'gravitational', 'lensing', 'shear', 'signal', 'from', 'the', 'mean', 'ellipticity', 'of', 'distant', 'galaxies', 'however', 'conversion', 'between', 'ellipticity', 'and', 'shear', 'assumes', 'local', 'linearity', 'of', 'the', 'lensing', 'potential', 'ie', 'that', 'the', 'spatial', 'derivatives', 'of', 'the', 'shear', 'are', 'small', 'and', 'this', 'condition', 'is', 'not', 'satisfied', 'in', 'some', 'of', 'the', 'most', 'interesting', 'regions', 'of', 'the', 'sky', 'we', 'extend', 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'be', 'used', 'to', 'measure', 'shears', 'closer', 'to', 'a', 'cluster', 'core', 'than', 'has', 'been', 'generally', 'appreciated', 'however', 'at', 'the', 'level', 'of', 'accuracy', 'demanded', 'by', 'future', 'lensing', 'surveys', 'this', 'bias', 'ought', 'to', 'be', 'considered', 'in', 'measurements', 'of', 'the', 'inner', 'slope', 'of', 'cluster', 'mass', 'distributions', 'and', 'the', 'smallscale', 'end', 'of', 'the', 'mass', 'power', 'spectrum', 'both', 'of', 'these', 'are', 'central', 'in', 'determining', 'the', 'relationship', 'between', 'baryonic', 'and', 'dark', 'matter']] | [-0.10961198555347529, 0.07450333855592624, -0.10906443537915346, 0.1271506791640373, -0.09210962724035322, -0.06150405661408174, 0.013371423363362013, 0.34379127433807666, -0.2405770741609296, -0.32311665194140654, 0.09037521424761508, -0.25780492556139323, -0.08711539430990697, 0.20980349964446435, -0.02224134539512491, 0.03238670458653113, 0.03091521221135042, 0.008178475291184071, 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709.148 | Connection between the Green functions of the supersymmetric pair of
Dirac Hamiltonians | The Sukumar theorem about the connection between the Green functions of the
supersymmetric pair of the Schr\"odinger Hamiltonians is generalized to the
case of the supersymmetric pair of the Dirac Hamiltonians.
| hep-th | the sukumar theorem about the connection between the green functions of the supersymmetric pair of the schrodinger hamiltonians is generalized to the case of the supersymmetric pair of the dirac hamiltonians | [['the', 'sukumar', 'theorem', 'about', 'the', 'connection', 'between', 'the', 'green', 'functions', 'of', 'the', 'supersymmetric', 'pair', 'of', 'the', 'schrodinger', 'hamiltonians', 'is', 'generalized', 'to', 'the', 'case', 'of', 'the', 'supersymmetric', 'pair', 'of', 'the', 'dirac', 'hamiltonians']] | [-0.15981037256818625, 0.10475321102046198, -0.04719202160354583, 0.13546979693590752, -0.0344184193414666, -0.1238470236740766, -0.007575032511545766, 0.2811912937510398, -0.20279239247282665, -0.24605803960754025, -0.017435149424859592, -0.34368094071866045, -0.15807096419795866, 0.16061949249236815, 0.04230326636423988, 0.07915420349567168, 0.03200178389107027, 0.051466983172201344, -0.16787492027205805, -0.1993611290329887, 0.3857808890001428, -0.02944917197624642, 0.18899022018717182, 0.09149848405391939, 0.05020714731466386, 0.090831812591322, 0.043640137259517944, -0.14201403228986648, -0.08040201892295191, 0.1903295291347369, 0.1646577379395885, 0.06194478033050414, 0.18558181608997046, -0.3623968567699194, -0.1605608207323859, 0.18268029049279227, 0.06193118390717333, 0.09066558928198871, 0.042778906502550645, -0.3405484748148029, 0.046144442692879706, -0.1623741739219235, -0.2326714836151129, 0.0465117733204557, 0.014030763834354377, 0.0027971039375951213, -0.23583081364631653, 0.11493912092860668, 0.07409950261635165, -0.039353802019069274, -0.0294864839468632, -0.06547847046186367, -0.15055790154503718, 0.06298767030239105, 0.0499284065764157, -0.0031684421964230077, 0.06443075385064848, -0.14070434971982915, -0.16600431237489946, 0.40062733634465164, -0.032427566426415595, -0.2553902475103255, 0.13942263602849939, -0.12789376131108693, -0.08947225515880892, 0.04713714615471901, 0.09189621725630376, 0.15735637564812938, -0.17697002672620357, 0.2100786556820235, -0.10479030818227798, 0.0568337292079964, 0.07070439969820361, 0.06380396020869093, 0.19091715008741425, 0.061951528663837144, 0.0921969007580511, 0.14954981382095045, -0.002239260942705216, -0.2007687964341453, -0.4155265307955204, -0.20594566339446652, -0.2338875670947375, 0.10205496189695212, -0.10312659395558219, -0.18466259172606853, 0.49883887484189005, 0.05527256550868192, 0.1470793747613507, 0.0812532939016819, 0.13813857433776702, 0.20379813670391037, 0.042970937316215804, -0.006075041263454383, 0.23268128865428508, 0.24457644863474753, 0.0938932035238512, -0.28114399856196776, -0.14898944760282193, 0.2039258340674062] |
709.1481 | Testing Spontaneous Parity Violation at the LHC | We construct a supersymmetric SU(2)_L X SU(2)_R X U(1)_B-L model in which a
discrete symmetry (C-parity) implements strict left-right symmetry in the
scalar (Higgs) sector. Although two electroweak bidoublets are introduced to
accommodate the observed fermion masses and mixings, a natural missing partner
mechanism insures that a single pair of MSSM Higgs doublets survives below the
left-right symmetry breaking scale. If this scale happens to lie in the TeV
range, several new particles potentially much lighter than the SU(2)_R charged
gauge bosons W_R^+- will be accessible at the LHC.
| hep-ph | we construct a supersymmetric su2_l x su2_r x u1_bl model in which a discrete symmetry cparity implements strict leftright symmetry in the scalar higgs sector although two electroweak bidoublets are introduced to accommodate the observed fermion masses and mixings a natural missing partner mechanism insures that a single pair of mssm higgs doublets survives below the leftright symmetry breaking scale if this scale happens to lie in the tev range several new particles potentially much lighter than the su2_r charged gauge bosons w_r will be accessible at the lhc | [['we', 'construct', 'a', 'supersymmetric', 'su2_l', 'x', 'su2_r', 'x', 'u1_bl', 'model', 'in', 'which', 'a', 'discrete', 'symmetry', 'cparity', 'implements', 'strict', 'leftright', 'symmetry', 'in', 'the', 'scalar', 'higgs', 'sector', 'although', 'two', 'electroweak', 'bidoublets', 'are', 'introduced', 'to', 'accommodate', 'the', 'observed', 'fermion', 'masses', 'and', 'mixings', 'a', 'natural', 'missing', 'partner', 'mechanism', 'insures', 'that', 'a', 'single', 'pair', 'of', 'mssm', 'higgs', 'doublets', 'survives', 'below', 'the', 'leftright', 'symmetry', 'breaking', 'scale', 'if', 'this', 'scale', 'happens', 'to', 'lie', 'in', 'the', 'tev', 'range', 'several', 'new', 'particles', 'potentially', 'much', 'lighter', 'than', 'the', 'su2_r', 'charged', 'gauge', 'bosons', 'w_r', 'will', 'be', 'accessible', 'at', 'the', 'lhc']] | [-0.15200574714638126, 0.37645094252578665, 0.00020369781139359044, 0.2614411737788155, -0.1578766707922175, -0.2939175945455522, -0.04022380304679777, 0.3577207920947269, -0.20749217550155152, -0.26912162588972055, 0.011829884470377661, -0.2205427747816266, 0.04116102000973135, -0.009124380790136671, 0.04680387193881226, 0.01945779079131866, -0.02921963410368294, 0.030356250221977073, -0.08608764359463278, -0.26049249363916643, 0.2406107920661485, -0.05263986044008745, 0.20928326465733602, 0.07607948685881127, 0.11788248912211549, -0.01615205705375149, 0.09608152079699414, -0.20309779845345555, -0.05476918454019397, 0.0689603245053231, 0.13560701070060388, 0.008181925324116195, 0.08602233225835508, -0.3230691194911017, -0.13575964605205515, 0.2605652916611413, 0.20249009444744567, 0.1196917699652546, -0.1085024629562591, -0.3977910889040553, 0.1449226470182786, -0.26350029802807934, -0.13259424284503407, -0.03423649064275656, -0.0962060495761087, -0.2849600815601396, -0.37487779057511456, 0.11484666864663687, -0.07800592427675644, 0.0609153736843152, 0.05299569577962328, -0.1341100741973084, -0.20392772444952909, -0.11515815137477403, 0.24908584224327018, -0.002343966531452168, 0.21429834499552303, -0.1835693181518549, -0.18531865484389906, 0.47805788049872, -0.06997364869140471, -0.18289159816490969, 0.14378754311408637, -0.16123250983603132, -0.24149972943882092, 0.16017639257139368, 0.1712899569087149, 0.0651784864505439, -0.17206507170928664, 0.26430421411988503, -0.12069445874364104, 0.18005739410899663, 0.06039967398902171, 0.08072036074662811, 0.2946703381668986, 0.18422541850288346, 0.09427980509366882, -0.00036025670058816, 0.019681979989727143, -0.12329719499213977, -0.501752815973223, -0.11384528113811622, -0.048943280148204794, 0.060130607014982386, -0.04091800630515771, -0.037568288761075964, 0.43395498763309437, 0.14205509869694408, 0.27205608798756026, 0.04891316600149142, 0.20429774446496635, 0.018500627677762106, 0.18385341892828588, -0.03631096783230144, 0.25754844306267044, 0.11690089565811658, 0.12329837988559784, -0.19791022357478572, -0.1228551834539165, 0.12883571135089472] |
709.1482 | Localized modes at a D-brane--O-plane intersection and heterotic Alice
strings | We study a system of $N_c$ $D3$-branes intersecting $D7$-branes and
$O7$-planes in 1+1-dimensions. We use anomaly cancellation and string dualities
to argue that there must be chiral fermion zero-modes on the $D3$-branes which
are localized near the $O7$-planes. Away from the orientifold limit we verify
this by using index theory as well as explicit construction of the zero-modes.
This system is related to F-theory on K3 and heterotic matrix string theory,
and the heterotic strings are related to Alice string defects in
$\mathcal{N}=4$ Super-Yang-Mills. In the limit of large $N_c$ we find an
$AdS_3$ dual of the heterotic matrix string CFT.
| hep-th | we study a system of n_c d3branes intersecting d7branes and o7planes in 11dimensions we use anomaly cancellation and string dualities to argue that there must be chiral fermion zeromodes on the d3branes which are localized near the o7planes away from the orientifold limit we verify this by using index theory as well as explicit construction of the zeromodes this system is related to ftheory on k3 and heterotic matrix string theory and the heterotic strings are related to alice string defects in mathcaln4 superyangmills in the limit of large n_c we find an ads_3 dual of the heterotic matrix string cft | [['we', 'study', 'a', 'system', 'of', 'n_c', 'd3branes', 'intersecting', 'd7branes', 'and', 'o7planes', 'in', '11dimensions', 'we', 'use', 'anomaly', 'cancellation', 'and', 'string', 'dualities', 'to', 'argue', 'that', 'there', 'must', 'be', 'chiral', 'fermion', 'zeromodes', 'on', 'the', 'd3branes', 'which', 'are', 'localized', 'near', 'the', 'o7planes', 'away', 'from', 'the', 'orientifold', 'limit', 'we', 'verify', 'this', 'by', 'using', 'index', 'theory', 'as', 'well', 'as', 'explicit', 'construction', 'of', 'the', 'zeromodes', 'this', 'system', 'is', 'related', 'to', 'ftheory', 'on', 'k3', 'and', 'heterotic', 'matrix', 'string', 'theory', 'and', 'the', 'heterotic', 'strings', 'are', 'related', 'to', 'alice', 'string', 'defects', 'in', 'mathcaln4', 'superyangmills', 'in', 'the', 'limit', 'of', 'large', 'n_c', 'we', 'find', 'an', 'ads_3', 'dual', 'of', 'the', 'heterotic', 'matrix', 'string', 'cft']] | [-0.1572832172404569, 0.19049359699103194, -0.04773093489319141, 0.1504991433092181, -0.053529664597446375, -0.1820493547734574, 0.025703166037484414, 0.28773526620525536, -0.12182531203373824, -0.22260076508368595, 0.12578413681712666, -0.3484739796074089, -0.18216966833956172, 0.03864641747631059, -0.15075318268177532, 0.013765861441630244, -0.045887893257146276, 0.04424647314215798, -0.10132789488024271, -0.28929069658999546, 0.3620500798512361, -0.022683576929687272, 0.3072772496887068, 0.10628887743569247, 0.07010800825284406, -0.02036616731767017, 0.034729062432035954, -0.013816868953780263, -0.12099717032098924, 0.12981108313721448, 0.29309860955103123, 0.03724292184382972, -0.037000585513392296, -0.5334795720617075, -0.18559745640123937, 0.06799898029646219, 0.23958742962504673, 0.2124571746231361, 0.030708980264769186, -0.2785034979795023, 0.10607510052464607, -0.1650471038710658, -0.15781478757167808, -0.05684680209983841, -0.01256890875278133, -0.09298322865933106, -0.21207539604441955, 0.0010823563149309542, -0.04203571422638759, 0.05192643167026857, 0.01920716041274885, -0.0462034249304803, -0.09185621836960389, 0.07598361233249307, 0.19922565256411412, 0.09025967992740766, 0.12928189315584185, -0.23023682154512198, -0.16563786056335314, 0.2948775842398553, -0.05710668688971955, -0.1971261589465165, 0.10873811659956406, -0.10760328453956264, -0.20100163498266352, 0.08279802159655213, 0.08282752590493696, 0.2029897321458205, -0.0632870404279127, 0.2696598789846008, -0.08369082471097608, 0.13636416735906745, 0.13109617149641756, 0.07910126892130563, 0.3466704497851505, 0.11673820321217622, 0.06311710846568873, 0.15248697251888305, -0.033647486432870424, -0.11298224189788988, -0.48768848542234683, -0.07454901933007284, -0.13069441661902584, 0.17112222405168975, -0.15247686308668004, -0.21089741809843718, 0.30959799129626536, 0.10604709637637186, 0.20119234954126844, 0.039348598635331314, 0.13604661831770573, 0.0761266425689959, 0.06360146338765574, 0.04429991970687072, 0.1860787569231695, 0.16122703398301239, 0.07605716234280804, -0.2976688313848883, -0.2533439763793998, 0.2841159265285524] |
709.1483 | Microcausality in Curved Space-Time | It is well known that in Lorentz invariant quantum field theories in flat
space the commutator of space-like separated local operators vanishes
(microcausality). We provide two different arguments showing that this is a
consequence of the causal structure of the classical theory, rather than of
Lorentz invariance. In particular, microcausality holds in arbitrary curved
space-times, where Lorentz invariance is explicitly broken by the background
metric. As illustrated by an explicit calculation on a cylinder this property
is rather non trivial at the level of Feynman diagrams.
| hep-th gr-qc | it is well known that in lorentz invariant quantum field theories in flat space the commutator of spacelike separated local operators vanishes microcausality we provide two different arguments showing that this is a consequence of the causal structure of the classical theory rather than of lorentz invariance in particular microcausality holds in arbitrary curved spacetimes where lorentz invariance is explicitly broken by the background metric as illustrated by an explicit calculation on a cylinder this property is rather non trivial at the level of feynman diagrams | [['it', 'is', 'well', 'known', 'that', 'in', 'lorentz', 'invariant', 'quantum', 'field', 'theories', 'in', 'flat', 'space', 'the', 'commutator', 'of', 'spacelike', 'separated', 'local', 'operators', 'vanishes', 'microcausality', 'we', 'provide', 'two', 'different', 'arguments', 'showing', 'that', 'this', 'is', 'a', 'consequence', 'of', 'the', 'causal', 'structure', 'of', 'the', 'classical', 'theory', 'rather', 'than', 'of', 'lorentz', 'invariance', 'in', 'particular', 'microcausality', 'holds', 'in', 'arbitrary', 'curved', 'spacetimes', 'where', 'lorentz', 'invariance', 'is', 'explicitly', 'broken', 'by', 'the', 'background', 'metric', 'as', 'illustrated', 'by', 'an', 'explicit', 'calculation', 'on', 'a', 'cylinder', 'this', 'property', 'is', 'rather', 'non', 'trivial', 'at', 'the', 'level', 'of', 'feynman', 'diagrams']] | [-0.1941901782884934, 0.21665099952089042, -0.11329228768861571, 0.15026040330020235, -0.09734995333683612, -0.14621841622689782, -0.024699602935322407, 0.34507753836467514, -0.22492434992996413, -0.22033929796537471, 0.04966960521008776, -0.21986315630614583, -0.15158412191302104, 0.16123386072861248, -0.051765812647550605, 0.020465382234041773, -0.051829765978550844, 0.0906399843573359, -0.15155873773078066, -0.2097729524072303, 0.39522567942067116, 0.048625087605783886, 0.2992395314409636, 0.03784624977188921, 0.11567653035393072, 0.03141807549941722, -0.017106310940932398, 0.07285991708475956, -0.09079877392820022, 0.08352136967885092, 0.20717701460992874, 0.06103828464916279, 0.18612273776264818, -0.4088285394272832, -0.20820443081766973, 0.059817545729158664, 0.11853778925399448, 0.10200809594243765, -0.017792519505493085, -0.32142663019341094, 0.05376101426000512, -0.13250598986633122, -0.19934837371760675, -0.09381935467976037, 0.01510357995501308, -0.12543621605132207, -0.19386625948137343, 0.1306224444225907, 0.12915884840388803, 0.10103759989900471, -0.040938121956356176, 0.0064115320050785705, -0.029057205657388063, 0.08094200982473963, 0.09569939344493282, 0.060290271945251696, 0.11824729973666889, -0.13706896404822377, -0.12054590173918472, 0.4120085156457715, -0.045500167562432726, -0.26907927463058556, 0.12803791196432052, -0.1918884442556043, -0.14851899923713402, 0.08952997620136283, 0.059373897974119454, 0.15442487357054338, -0.13470798059499303, 0.23683950327726644, -0.074565822180079, 0.0873070742371817, 0.10584982772639324, 0.045825359073797846, 0.15299931452284718, 0.04532274402147376, 0.09987678572665466, 0.12532541639886277, 0.045245762370245225, -0.12869603195170828, -0.46286451646538324, -0.17536826546542172, -0.18093660025218458, 0.14125269337362328, -0.14479984181153394, -0.19704016867678525, 0.3267773405166863, 0.06735025096324619, 0.16953205457058745, 0.0393558026908702, 0.2834135872030327, 0.12697841857186368, 0.08747423849025265, 0.07523555506757179, 0.2647760782748201, 0.14533702666508466, 0.02655416601445786, -0.15431465546405593, -0.01794804631851527, 0.14938800665008467] |
709.1484 | Ascertaining the Core Collapse Supernova Mechanism: An Emerging Picture? | Here we present the results from two sets of simulations, in two and three
spatial dimensions. In two dimensions, the simulations include multifrequency
flux-limited diffusion neutrino transport in the "ray-by-ray-plus"
approximation, two-dimensional self gravity in the Newtonian limit, and nuclear
burning through a 14-isotope alpha network. The three-dimensional simulations
are model simulations constructed to reflect the post stellar core bounce
conditions during neutrino shock reheating at the onset of explosion. They are
hydrodynamics-only models that focus on critical aspects of the shock stability
and dynamics and their impact on the supernova mechanism and explosion. In two
dimensions, we obtain explosions (although in one case weak) for two
progenitors (11 and 15 Solar mass models). Moreover, in both cases the
explosion is initiated when the inner edge of the oxygen layer accretes through
the shock. Thus, the shock is not revived while in the iron core, as previously
discussed in the literature. The three-dimensional studies of the development
of the stationary accretion shock instability (SASI) demonstrate the
fundamentally new dynamics allowed when simulations are performed in three
spatial dimensions. The predominant l=1 SASI mode gives way to a stable m=1
mode, which in turn has significant ramifications for the distribution of
angular momentum in the region between the shock and proto-neutron star and,
ultimately, for the spin of the remnant neutron star. Moreover, the
three-dimensional simulations make clear, given the increased number of degrees
of freedom, that two-dimensional models are severely limited by artificially
imposed symmetries.
| astro-ph | here we present the results from two sets of simulations in two and three spatial dimensions in two dimensions the simulations include multifrequency fluxlimited diffusion neutrino transport in the raybyrayplus approximation twodimensional self gravity in the newtonian limit and nuclear burning through a 14isotope alpha network the threedimensional simulations are model simulations constructed to reflect the post stellar core bounce conditions during neutrino shock reheating at the onset of explosion they are hydrodynamicsonly models that focus on critical aspects of the shock stability and dynamics and their impact on the supernova mechanism and explosion in two dimensions we obtain explosions although in one case weak for two progenitors 11 and 15 solar mass models moreover in both cases the explosion is initiated when the inner edge of the oxygen layer accretes through the shock thus the shock is not revived while in the iron core as previously discussed in the literature the threedimensional studies of the development of the stationary accretion shock instability sasi demonstrate the fundamentally new dynamics allowed when simulations are performed in three spatial dimensions the predominant l1 sasi mode gives way to a stable m1 mode which in turn has significant ramifications for the distribution of angular momentum in the region between the shock and protoneutron star and ultimately for the spin of the remnant neutron star moreover the threedimensional simulations make clear given the increased number of degrees of freedom that twodimensional models are severely limited by artificially imposed symmetries | [['here', 'we', 'present', 'the', 'results', 'from', 'two', 'sets', 'of', 'simulations', 'in', 'two', 'and', 'three', 'spatial', 'dimensions', 'in', 'two', 'dimensions', 'the', 'simulations', 'include', 'multifrequency', 'fluxlimited', 'diffusion', 'neutrino', 'transport', 'in', 'the', 'raybyrayplus', 'approximation', 'twodimensional', 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'revived', 'while', 'in', 'the', 'iron', 'core', 'as', 'previously', 'discussed', 'in', 'the', 'literature', 'the', 'threedimensional', 'studies', 'of', 'the', 'development', 'of', 'the', 'stationary', 'accretion', 'shock', 'instability', 'sasi', 'demonstrate', 'the', 'fundamentally', 'new', 'dynamics', 'allowed', 'when', 'simulations', 'are', 'performed', 'in', 'three', 'spatial', 'dimensions', 'the', 'predominant', 'l1', 'sasi', 'mode', 'gives', 'way', 'to', 'a', 'stable', 'm1', 'mode', 'which', 'in', 'turn', 'has', 'significant', 'ramifications', 'for', 'the', 'distribution', 'of', 'angular', 'momentum', 'in', 'the', 'region', 'between', 'the', 'shock', 'and', 'protoneutron', 'star', 'and', 'ultimately', 'for', 'the', 'spin', 'of', 'the', 'remnant', 'neutron', 'star', 'moreover', 'the', 'threedimensional', 'simulations', 'make', 'clear', 'given', 'the', 'increased', 'number', 'of', 'degrees', 'of', 'freedom', 'that', 'twodimensional', 'models', 'are', 'severely', 'limited', 'by', 'artificially', 'imposed', 'symmetries']] | [-0.10629130690646024, 0.16333087194527005, -0.03312042789328211, 0.08791004802069699, -0.0533993128646901, -0.0736693386157348, 0.024479176983267927, 0.3576054092987207, -0.2225926437542377, -0.29166359338457143, 0.1074870261172055, -0.25703412216298527, -0.0802566333532088, 0.19359728482737754, 0.03747771410527831, 0.0071140737335078814, 0.09283800062209889, -0.02535867571223282, -0.08120185451308043, -0.227583427392732, 0.3441583296675005, 0.08593025560387307, 0.24225271393357176, 0.023579615959706007, 0.061375298704032175, -0.08768885311552749, -0.02744253512630967, -0.0265555541814306, -0.1598565853088869, 0.017570398245849973, 0.1754233101966575, 0.09311080677626432, 0.23080884719673744, -0.4981828032084453, -0.2889430594741685, 0.05014390030438885, 0.1950690817248858, 0.10762917371984157, -0.07213156987635569, -0.2342330046762701, 0.04549264102798614, -0.19498299402683023, -0.15154977427956498, 0.007475190872610106, 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709.1485 | Compact Stars as Dark Matter Probes | We discuss the consequences of the accretion of dark matter (DM) particles on
compact stars such as white dwarfs and neutron stars. We show that in large
regions of the DM parameter space, these objects are sensitive probes of the
presence of DM and can be used to set constraints both on the DM density and on
the physical properties of DM particles.
| astro-ph hep-ph | we discuss the consequences of the accretion of dark matter dm particles on compact stars such as white dwarfs and neutron stars we show that in large regions of the dm parameter space these objects are sensitive probes of the presence of dm and can be used to set constraints both on the dm density and on the physical properties of dm particles | [['we', 'discuss', 'the', 'consequences', 'of', 'the', 'accretion', 'of', 'dark', 'matter', 'dm', 'particles', 'on', 'compact', 'stars', 'such', 'as', 'white', 'dwarfs', 'and', 'neutron', 'stars', 'we', 'show', 'that', 'in', 'large', 'regions', 'of', 'the', 'dm', 'parameter', 'space', 'these', 'objects', 'are', 'sensitive', 'probes', 'of', 'the', 'presence', 'of', 'dm', 'and', 'can', 'be', 'used', 'to', 'set', 'constraints', 'both', 'on', 'the', 'dm', 'density', 'and', 'on', 'the', 'physical', 'properties', 'of', 'dm', 'particles']] | [-0.10823122184309694, 0.20163776639789815, -0.09435047972060386, 0.16034209607021202, -0.12180103204907879, -0.003990724076709104, 0.029007333844515776, 0.32351361203288276, -0.1845825438254646, -0.3869363064508116, 0.04569874108687694, -0.28407591714390684, -0.01755317874134533, 0.22181207816752177, -0.006871080565606318, 0.004945609304640029, 0.02214837519245015, 0.023964876847689054, -0.03134711659956901, -0.28084796813634477, 0.3932848221858934, -0.005877075598589958, 0.10088247743745644, 0.025072805080858487, 0.08099826029871428, -0.0482395032627715, -0.06283106852973265, -0.01745757569294674, -0.17071428916120018, 0.04013216427512585, 0.17655994037964515, 0.11651794206617135, 0.09515116272479414, -0.43528487716638853, -0.2424012211166204, 0.17829767732866228, 0.15282960844388793, 0.03678116007220177, -0.09531152568986669, -0.3577388985348599, 0.11485497996447579, -0.20015018872384513, -0.10485073536013563, -0.055277385793271516, 0.01752945582663256, 0.07943686368756943, -0.23528829802359855, 0.07662078540491325, 0.03880430417992766, -0.08923843479345715, -0.10525298202853828, -0.13217169693153766, -0.02411103638125554, 0.0239823642260735, 0.09479816816747189, -0.05863431420561577, 0.26576631378737237, -0.22379713081237343, -0.019230688500794627, 0.43935600445801687, -0.12821094641491534, -0.1448155939671403, 0.2733468951450454, -0.1653653455099889, -0.16334589055576731, 0.05729131848506984, 0.204685694723536, 0.1368226007898412, -0.10214631200309783, 0.1102382324401304, -0.04966139237004672, 0.1759643940521138, 0.016042001982448654, 0.12009790111776619, 0.4105730346803154, 0.17118225651719268, 0.07571466931600183, 0.0350865294975746, -0.21156765645118578, -0.024383587592710105, -0.3040757983967307, -0.1823090954816767, -0.17127334489117538, -0.011798715898914942, -0.1515560991415802, -0.11431341103854634, 0.33164277522721225, 0.11528373076876122, 0.22886971872122513, -0.03870145462098576, 0.2904980614308327, 0.05981144654247651, 0.036835976373699925, 0.06892380119848346, 0.3000269459471816, 0.1942908176708789, 0.045646768809843155, -0.22098962853233967, 0.04415347890573598, -0.04868118022568524] |
709.1486 | Diquark Higgs at LHC | Existence of color sextet diquark Higgs fields with TeV masses will indicate
a fundamentally different direction for unification than conventional grand
unified theories. There is a class of partial unification models based on the
gauge group $SU(2)_L\times SU(2)_R\times SU(4)_c$ that implement the seesaw
mechanism for neutrino mass with seesaw scale around $10^{11}$ GeV, where
indeed such light fields appear naturally despite the high gauge symmetry
breaking scale. They couple only to up-type quarks in this model.
We discuss phenomenological constraints on these fields and show that they
could be detected at LHC via their decay to either $tt$ or single top + jet. We
also find that existing Tevatron data gives a lower bound on its mass somewhere
in the 400-500 GeV, for reasonable values of its coupling.
| hep-ph | existence of color sextet diquark higgs fields with tev masses will indicate a fundamentally different direction for unification than conventional grand unified theories there is a class of partial unification models based on the gauge group su2_ltimes su2_rtimes su4_c that implement the seesaw mechanism for neutrino mass with seesaw scale around 1011 gev where indeed such light fields appear naturally despite the high gauge symmetry breaking scale they couple only to uptype quarks in this model we discuss phenomenological constraints on these fields and show that they could be detected at lhc via their decay to either tt or single top jet we also find that existing tevatron data gives a lower bound on its mass somewhere in the 400500 gev for reasonable values of its coupling | [['existence', 'of', 'color', 'sextet', 'diquark', 'higgs', 'fields', 'with', 'tev', 'masses', 'will', 'indicate', 'a', 'fundamentally', 'different', 'direction', 'for', 'unification', 'than', 'conventional', 'grand', 'unified', 'theories', 'there', 'is', 'a', 'class', 'of', 'partial', 'unification', 'models', 'based', 'on', 'the', 'gauge', 'group', 'su2_ltimes', 'su2_rtimes', 'su4_c', 'that', 'implement', 'the', 'seesaw', 'mechanism', 'for', 'neutrino', 'mass', 'with', 'seesaw', 'scale', 'around', '1011', 'gev', 'where', 'indeed', 'such', 'light', 'fields', 'appear', 'naturally', 'despite', 'the', 'high', 'gauge', 'symmetry', 'breaking', 'scale', 'they', 'couple', 'only', 'to', 'uptype', 'quarks', 'in', 'this', 'model', 'we', 'discuss', 'phenomenological', 'constraints', 'on', 'these', 'fields', 'and', 'show', 'that', 'they', 'could', 'be', 'detected', 'at', 'lhc', 'via', 'their', 'decay', 'to', 'either', 'tt', 'or', 'single', 'top', 'jet', 'we', 'also', 'find', 'that', 'existing', 'tevatron', 'data', 'gives', 'a', 'lower', 'bound', 'on', 'its', 'mass', 'somewhere', 'in', 'the', '400500', 'gev', 'for', 'reasonable', 'values', 'of', 'its', 'coupling']] | [-0.1077091295572775, 0.27664914597045837, -0.058018073868593124, 0.2026825737882787, -0.12204763587329566, -0.1969527003875985, 0.025774190297687617, 0.40262031368361273, -0.19633628754311894, -0.3222747938194144, 0.05673290154251351, -0.22128756396384455, 0.0053336472657516485, 0.1307533637869839, 0.03462366892142207, -0.021731710382145976, 0.01425082084271822, 0.011281565363394228, -0.09191321328605019, -0.24707252116815195, 0.29980709224455354, 0.006089577231350846, 0.23905380557137212, 0.11430522952756779, 0.0972131713940652, -0.0491934289613108, 0.05067583058014747, -0.12017252634272096, -0.0669517885979176, 0.05716407050811282, 0.16850080774991252, 0.07695991624014702, 0.13225123745308617, -0.37846992058884793, -0.1655516577297895, 0.14928419357459025, 0.16515034113049976, 0.08167766672962411, -0.12213408545403939, -0.2970682575594722, 0.13493101023445567, -0.2163400337921353, -0.10824642060911209, -0.057704949791829184, -0.05438114531103551, -0.12194674086617673, -0.3319786880092006, 0.10316001716611621, -0.05163190266077121, 0.03460338129661977, -0.0012875366167671334, -0.17195178522897048, -0.08329912240609644, -0.049126844437000904, 0.17564477420716335, 0.052783607461262406, 0.17257074972038985, -0.19272887444776285, -0.16956013789048463, 0.4208564690688229, -0.07741614401958768, -0.14149718144615217, 0.20698025101231132, -0.14765575043417103, -0.19984094386069676, 0.09874824997162314, 0.20568981062342215, 0.08208877206816682, -0.1448205489899934, 0.15128066295374729, -0.08452012748677488, 0.19881567826831903, 0.04116845097920791, 0.06878954815626966, 0.29287644185301825, 0.17793113932996166, 0.05967134533736004, -0.021192101186955362, -0.03804679832963904, -0.0873363096501649, -0.41777473295063483, -0.0693169533546398, -0.07684362901184033, 0.07387788755192208, -0.10221785526572796, -0.0740940191079019, 0.40857817853001627, 0.16909274905480035, 0.25230729515026284, 0.06697059773077352, 0.23911343320221531, 0.07367464861150567, 0.17258357187535056, 0.059229231985857875, 0.33080623298150114, 0.10162332823764034, 0.09203876342485094, -0.1968140580918728, -0.07171347810690636, 0.09906527754281443] |
709.1487 | Spectropolarimetry of the Type IIb Supernova 2001ig | We present spectropolarimetric observations of the Type IIb SN 2001ig in NGC
7424; conducted with the ESO VLT FORS1 on 2001 Dec 16, 2002 Jan 3 and 2002 Aug
16 or 13, 31 and 256 days post-explosion. These observations are at three
different stages of the SN evolution: (1) The hydrogen-rich photospheric phase,
(2) the Type II to Type Ib transitional phase and (3) the nebular phase. At
each of these stages, the observations show remarkably different polarization
properties as a function of wavelength. We show that the degree of interstellar
polarization is 0.17%. The low intrinsic polarization (~0.2%) at the first
epoch is consistent with an almost spherical (<10% deviation from spherical
symmetry) hydrogen dominated ejecta. Similar to SN 1987A and to Type IIP SNe, a
sharp increase in the degree of the polarization (~1%) is observed when the
outer hydrogen layer becomes optically thin by day 31; only at this epoch is
the polarization well described by a ``dominant axis.'' The polarization angle
of the data shows a rotation through ~40 degrees between the first and second
epochs, indicating that the asymmetries of the first epoch were not directly
coupled with those observed at the second epoch. For the most polarized lines,
we observe wavelength-dependent loop structures in addition to the dominant
axis on the Q-U plane. We show that the polarization properties of Type IIb SNe
are roughly similar to one another, but with significant differences arising
due to line blending effects especially with the high velocities observed for
SN 2001ig. This suggests that the geometry of SN 2001ig is related to SN 1993J
and that these events may have arisen from a similar binary progenitor system.
| astro-ph | we present spectropolarimetric observations of the type iib sn 2001ig in ngc 7424 conducted with the eso vlt fors1 on 2001 dec 16 2002 jan 3 and 2002 aug 16 or 13 31 and 256 days postexplosion these observations are at three different stages of the sn evolution 1 the hydrogenrich photospheric phase 2 the type ii to type ib transitional phase and 3 the nebular phase at each of these stages the observations show remarkably different polarization properties as a function of wavelength we show that the degree of interstellar polarization is 017 the low intrinsic polarization 02 at the first epoch is consistent with an almost spherical 10 deviation from spherical symmetry hydrogen dominated ejecta similar to sn 1987a and to type iip sne a sharp increase in the degree of the polarization 1 is observed when the outer hydrogen layer becomes optically thin by day 31 only at this epoch is the polarization well described by a dominant axis the polarization angle of the data shows a rotation through 40 degrees between the first and second epochs indicating that the asymmetries of the first epoch were not directly coupled with those observed at the second epoch for the most polarized lines we observe wavelengthdependent loop structures in addition to the dominant axis on the qu plane we show that the polarization properties of type iib sne are roughly similar to one another but with significant differences arising due to line blending effects especially with the high velocities observed for sn 2001ig this suggests that the geometry of sn 2001ig is related to sn 1993j and that these events may have arisen from a similar binary progenitor system | [['we', 'present', 'spectropolarimetric', 'observations', 'of', 'the', 'type', 'iib', 'sn', '2001ig', 'in', 'ngc', '7424', 'conducted', 'with', 'the', 'eso', 'vlt', 'fors1', 'on', '2001', 'dec', '16', '2002', 'jan', '3', 'and', '2002', 'aug', '16', 'or', '13', '31', 'and', '256', 'days', 'postexplosion', 'these', 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709.1488 | A novel concept for increasing the peak sensitivity of LIGO by detuning
the arm cavities | We introduce a concept that uses detuned arm cavities to increase the shot
noise limited sensitivity of LIGO without increasing the light power inside the
arm cavities. Numerical simulations show an increased sensitivity between 125
and 400 Hz, with a maximal improvement of about 80% around 225 Hz, while the
sensitivity above 400Hz is decreased. Furthermore our concept is found to give
a sensitivity similar to that of a conventional RSE configuration with a
Signal-Recycling mirror of moderate reflectivity. In the near future detuned
arm cavities might be a beneficial alternative to RSE, due the potentially less
hardware intensive implementation of the proposed concept.
| gr-qc | we introduce a concept that uses detuned arm cavities to increase the shot noise limited sensitivity of ligo without increasing the light power inside the arm cavities numerical simulations show an increased sensitivity between 125 and 400 hz with a maximal improvement of about 80 around 225 hz while the sensitivity above 400hz is decreased furthermore our concept is found to give a sensitivity similar to that of a conventional rse configuration with a signalrecycling mirror of moderate reflectivity in the near future detuned arm cavities might be a beneficial alternative to rse due the potentially less hardware intensive implementation of the proposed concept | [['we', 'introduce', 'a', 'concept', 'that', 'uses', 'detuned', 'arm', 'cavities', 'to', 'increase', 'the', 'shot', 'noise', 'limited', 'sensitivity', 'of', 'ligo', 'without', 'increasing', 'the', 'light', 'power', 'inside', 'the', 'arm', 'cavities', 'numerical', 'simulations', 'show', 'an', 'increased', 'sensitivity', 'between', '125', 'and', '400', 'hz', 'with', 'a', 'maximal', 'improvement', 'of', 'about', '80', 'around', '225', 'hz', 'while', 'the', 'sensitivity', 'above', '400hz', 'is', 'decreased', 'furthermore', 'our', 'concept', 'is', 'found', 'to', 'give', 'a', 'sensitivity', 'similar', 'to', 'that', 'of', 'a', 'conventional', 'rse', 'configuration', 'with', 'a', 'signalrecycling', 'mirror', 'of', 'moderate', 'reflectivity', 'in', 'the', 'near', 'future', 'detuned', 'arm', 'cavities', 'might', 'be', 'a', 'beneficial', 'alternative', 'to', 'rse', 'due', 'the', 'potentially', 'less', 'hardware', 'intensive', 'implementation', 'of', 'the', 'proposed', 'concept']] | [-0.11791690092650242, 0.13258358321386018, -0.031389111888039715, 0.007856609310972719, -0.09673974621826066, -0.14892207499808416, 0.10878106039420415, 0.3892446933582855, -0.21305875052572587, -0.3485997823255065, 0.0851544799280908, -0.2900118474006796, -0.10512862997487761, 0.26377761779720177, -0.07892482136062776, 0.02317839757933353, 0.07495007754410975, -0.008175451998025753, -0.07554244834822245, -0.1827309535236474, 0.19769537559029862, 0.15658980112549706, 0.2837526749174755, 0.027553337617204167, 0.09672989347913805, -0.05319490929832682, 0.026211403265523795, -0.0495176770670626, -0.07335066752518916, 0.08403759018088189, 0.23240291708722138, 0.05925504232380682, 0.32824974370977056, -0.3905461912341147, -0.16143015972249067, 0.0975005449861503, 0.1571869132637333, 0.07288348872232465, -0.050400263581720464, -0.2880188724688756, 0.10769221119755037, -0.2031984360387119, -0.2026714904842755, -0.02150228712819696, -0.01332278846977995, -0.00983467400846376, -0.26172416115430397, 0.04317429638467729, 0.015786999048521884, 0.05257108400110155, 0.020863638492301106, -0.09879107467937641, 0.028806633434634514, 0.011388681453984017, -0.019465138576029297, 0.08470094534165512, 0.21250232679393286, -0.1243859965291519, -0.09984271604424486, 0.31460494879418266, -0.09595074885202429, -0.1284523769102704, 0.17849821555472983, -0.18088843318848655, -0.030080836776715632, 0.18855621413632223, 0.13984994193966627, 0.03975958698608268, -0.10325694966237418, -0.025469116996996142, 0.041924369268459626, 0.27554177220624226, 0.13919106150905675, 0.09548115586361607, 0.19564390979492322, 0.21645384492652597, 0.10396450709175462, 0.1923052613486876, -0.1645436759527701, -0.03598152911469627, -0.25769405562851505, -0.0837655927036674, -0.13337452181328374, 0.029800500067022558, -0.11021121186100712, -0.07634107946740606, 0.36297297654136157, 0.18037787740691924, 0.16258557473058596, 0.021698584627861586, 0.35171110092554814, 0.09330263404878608, 0.12185444765222761, 0.022282887702413764, 0.35241410047568095, 0.10662040769910583, 0.08727855098550208, -0.24355865450790867, -0.0009157612848167236, -0.10355892442525007] |
709.1489 | Making black holes visible: accretion, radiation, and jets | With the fundamental stress mechanism of accretion disks
identified--correlated MHD turbulence driven by the magneto-rotational
instability--it has become possible to make numerical simulations of accretion
disk dynamics based on well-understood physics. A sampling of results from both
Newtonian 3-d shearing box and general relativistic global disk MHD simulations
is reported. Among other things, these simulations have shown that: contrary to
long-held assumptions, stress is continuous through the marginally stable and
plunging regions around black holes, so that rotating black holes can give
substantial amounts of angular momentum electromagnetically to surrounding
matter; the upper layers of accretion disks are primarily supported by magnetic
pressure, potentially leading to interesting departures from local black-body
emitted spectra; and initially local magnetic fields in accretion flows can, in
some cases, spontaneously generate large-scale fields that connect rotating
black holes to infinity and mediate strong relativistic jets.
| astro-ph | with the fundamental stress mechanism of accretion disks identifiedcorrelated mhd turbulence driven by the magnetorotational instabilityit has become possible to make numerical simulations of accretion disk dynamics based on wellunderstood physics a sampling of results from both newtonian 3d shearing box and general relativistic global disk mhd simulations is reported among other things these simulations have shown that contrary to longheld assumptions stress is continuous through the marginally stable and plunging regions around black holes so that rotating black holes can give substantial amounts of angular momentum electromagnetically to surrounding matter the upper layers of accretion disks are primarily supported by magnetic pressure potentially leading to interesting departures from local blackbody emitted spectra and initially local magnetic fields in accretion flows can in some cases spontaneously generate largescale fields that connect rotating black holes to infinity and mediate strong relativistic jets | [['with', 'the', 'fundamental', 'stress', 'mechanism', 'of', 'accretion', 'disks', 'identifiedcorrelated', 'mhd', 'turbulence', 'driven', 'by', 'the', 'magnetorotational', 'instabilityit', 'has', 'become', 'possible', 'to', 'make', 'numerical', 'simulations', 'of', 'accretion', 'disk', 'dynamics', 'based', 'on', 'wellunderstood', 'physics', 'a', 'sampling', 'of', 'results', 'from', 'both', 'newtonian', '3d', 'shearing', 'box', 'and', 'general', 'relativistic', 'global', 'disk', 'mhd', 'simulations', 'is', 'reported', 'among', 'other', 'things', 'these', 'simulations', 'have', 'shown', 'that', 'contrary', 'to', 'longheld', 'assumptions', 'stress', 'is', 'continuous', 'through', 'the', 'marginally', 'stable', 'and', 'plunging', 'regions', 'around', 'black', 'holes', 'so', 'that', 'rotating', 'black', 'holes', 'can', 'give', 'substantial', 'amounts', 'of', 'angular', 'momentum', 'electromagnetically', 'to', 'surrounding', 'matter', 'the', 'upper', 'layers', 'of', 'accretion', 'disks', 'are', 'primarily', 'supported', 'by', 'magnetic', 'pressure', 'potentially', 'leading', 'to', 'interesting', 'departures', 'from', 'local', 'blackbody', 'emitted', 'spectra', 'and', 'initially', 'local', 'magnetic', 'fields', 'in', 'accretion', 'flows', 'can', 'in', 'some', 'cases', 'spontaneously', 'generate', 'largescale', 'fields', 'that', 'connect', 'rotating', 'black', 'holes', 'to', 'infinity', 'and', 'mediate', 'strong', 'relativistic', 'jets']] | [-0.13602380859816326, 0.1813739657170883, -0.06696102391633628, 0.11982263860576652, -0.09821998846898083, -0.10952549531935252, -0.04407088481862996, 0.34950605040188315, -0.23727057865157508, -0.31556149198264954, 0.05241366445502307, -0.2747040025319522, -0.042521654608116737, 0.2274926606860521, -0.0071784140032937205, 0.03836829982624262, 0.03563356776755276, -0.08957949794222526, -0.02686998977789843, -0.17814060538276869, 0.3502721700334935, 0.13018120332828742, 0.19977037257534994, -0.051325801073191624, 0.02396195834350149, -0.12487695818070135, -0.027411218213332856, 0.06012726432348134, -0.18059759325319155, 0.014415333081010005, 0.18280556883408333, 0.06282075076102675, 0.23184601357908124, -0.5423637985807958, -0.27792502700170274, 0.04585858392897699, 0.1902113324835253, 0.12497984129506692, -0.14120744500165175, -0.23006259229891807, 0.07058812186738356, -0.20008429321761934, -0.12812386361694486, -0.08487101535064925, 0.04846107315359195, 0.00908446805375769, -0.2592487126696024, 0.12871859094342417, 0.11015412485789802, 0.011118158282462522, -0.10268987001509493, 0.0020398598862811923, -0.12046555889998194, 0.047540154197527995, 0.16347034122433057, 0.05491133873759628, 0.2699274413334541, -0.1592857042179282, -0.08975447635936866, 0.3860243826672408, -0.028543858981720405, -0.1589059498757392, 0.2823829714731454, -0.2722870038098676, -0.08153606193783365, 0.20363950662368493, 0.19134614323835364, 0.1326795929985074, -0.10067168005956538, 0.04364948310862503, -0.07398164676160639, 0.1463980875430267, 0.094810713662116, 0.021040423051705382, 0.4191007324554723, 0.08903917819328552, -0.0028041813383548916, 0.11974049217055933, -0.10628251329092844, -0.12625639656392804, -0.22685129995786135, -0.08216909095376944, -0.13916556788072418, 0.10542111500441063, -0.11383003233588575, -0.1660231863416098, 0.2676643495407733, 0.1424725207218753, 0.1582273374103921, -0.02118262887275744, 0.31261407263430313, 0.03983972139200933, 0.052704393743075055, 0.19621402969108157, 0.37747715987544006, 0.19114328969417393, 0.13100884358646522, -0.21983347406691248, 0.0015626345633817235, 0.06021043297452785] |
709.149 | Ricci iterations on Kahler classes | In this paper we consider the dynamical system involved by the Ricci operator
on the space of K\"ahler metrics. A. Nadel has defined an iteration scheme
given by the Ricci operator for Fano manifold and asked whether it has some
nontrivial periodic points. First, we prove that no such periodic points can
exist. We define the inverse of the Ricci operator and consider the dynamical
behaviour of its iterates for a Fano K\"ahler-Einstein manifold. In particular
we show that the iterates do converge to the existing K\"ahler-Ricci soliton on
a toric manifold. Finally, we define a finite dimensional procedure to give an
approximation of K\"ahler-Einstein metrics using this iterative procedure and
apply it for $\mathbb{CP}^2$ blown up in 3 points.
| math.DG math.CV math.DS | in this paper we consider the dynamical system involved by the ricci operator on the space of kahler metrics a nadel has defined an iteration scheme given by the ricci operator for fano manifold and asked whether it has some nontrivial periodic points first we prove that no such periodic points can exist we define the inverse of the ricci operator and consider the dynamical behaviour of its iterates for a fano kahlereinstein manifold in particular we show that the iterates do converge to the existing kahlerricci soliton on a toric manifold finally we define a finite dimensional procedure to give an approximation of kahlereinstein metrics using this iterative procedure and apply it for mathbbcp2 blown up in 3 points | [['in', 'this', 'paper', 'we', 'consider', 'the', 'dynamical', 'system', 'involved', 'by', 'the', 'ricci', 'operator', 'on', 'the', 'space', 'of', 'kahler', 'metrics', 'a', 'nadel', 'has', 'defined', 'an', 'iteration', 'scheme', 'given', 'by', 'the', 'ricci', 'operator', 'for', 'fano', 'manifold', 'and', 'asked', 'whether', 'it', 'has', 'some', 'nontrivial', 'periodic', 'points', 'first', 'we', 'prove', 'that', 'no', 'such', 'periodic', 'points', 'can', 'exist', 'we', 'define', 'the', 'inverse', 'of', 'the', 'ricci', 'operator', 'and', 'consider', 'the', 'dynamical', 'behaviour', 'of', 'its', 'iterates', 'for', 'a', 'fano', 'kahlereinstein', 'manifold', 'in', 'particular', 'we', 'show', 'that', 'the', 'iterates', 'do', 'converge', 'to', 'the', 'existing', 'kahlerricci', 'soliton', 'on', 'a', 'toric', 'manifold', 'finally', 'we', 'define', 'a', 'finite', 'dimensional', 'procedure', 'to', 'give', 'an', 'approximation', 'of', 'kahlereinstein', 'metrics', 'using', 'this', 'iterative', 'procedure', 'and', 'apply', 'it', 'for', 'mathbbcp2', 'blown', 'up', 'in', '3', 'points']] | [-0.19451503902673722, 0.016651833238089844, -0.1109918884622554, 0.09190517602449594, -0.07513700338701407, -0.1699165669172847, 0.012958925618052793, 0.38517156331799923, -0.2583954412334909, -0.16251889762546246, 0.12996769308131964, -0.2738116301130503, -0.22247267402126453, 0.16346534825182366, -0.1373806083012217, 0.05985931028408231, 0.07703989862153927, 0.08895954627272053, -0.1144405003481855, -0.31719931099020565, 0.5018680066491167, -0.03658128844690509, 0.2078957194869872, 0.09901079114060848, 0.17583591480118532, -0.05443384267273359, 0.047195748618105424, 0.012603495584092647, -0.19015826562790608, 0.07214174403925426, 0.24439849732249666, 0.1235939812749469, 0.25178188484472536, -0.3809929021323721, -0.19845886731442686, 0.21452071121893823, 0.1654229518918631, 0.05836221871431917, -0.033012157632038, -0.27256840018865963, 0.1262353481957689, -0.10640355537179857, -0.19306250490723567, -0.13991349487332627, -0.02747788194634874, 0.009429955047865708, -0.22669536683824845, -0.025358528814588985, 0.1115974511121749, 0.05803084144523988, -0.05733095693964666, -0.0471834982134169, -0.033111745351925494, 0.06540700449841097, 0.046183149662101644, 0.06971689433945964, 0.09437255296312894, -0.03313099631322984, -0.12198651753521214, 0.33490456508783, -0.12043193814897676, -0.2669438859603057, 0.10543257019016891, -0.0806477114034351, -0.12026871656998991, 0.11445966407191008, 0.17437000867624494, 0.21124038306685786, -0.0653865657361166, 0.16320724695542593, -0.07678954623018702, 0.09081039195298217, 0.10513891169490913, -0.04164536886867912, 0.09482333036915709, 0.11204431067647723, 0.20797952721477486, 0.11447790197174375, -0.005639550116999696, -0.07895612788852305, -0.335019281009833, -0.19392244931465635, -0.15255133897298948, 0.18321746926909935, -0.1498555401258879, -0.21081651872955262, 0.4221582788266763, 0.07523258300643647, 0.24385858512250708, 0.09931906984808545, 0.23862746484034383, 0.10321443942763532, -0.008844150404911488, 0.13315648026764393, 0.21655042680722544, 0.12475402584920327, 0.07743763289569566, -0.1855298235968803, -0.06837275953342517, 0.19408532892509053] |
709.1491 | Moduli and multi-field inflation | Moduli with flat or run-away classical potentials are generic in theories
based on supersymmetry and extra dimensions. They mix between themselves and
with matter fields in kinetic terms and in the nonperturbative superpotentials.
As the result, interesting structure appears in the scalar potential which
helps to stabilise and trap moduli and leads to multi-field inflation. The new
and attractive feature of multi-inflationary setup are isocurvature
perturbations which can modify in an interesting way the final spectrum of
primordial fluctuations resulting from inflation.
| hep-th | moduli with flat or runaway classical potentials are generic in theories based on supersymmetry and extra dimensions they mix between themselves and with matter fields in kinetic terms and in the nonperturbative superpotentials as the result interesting structure appears in the scalar potential which helps to stabilise and trap moduli and leads to multifield inflation the new and attractive feature of multiinflationary setup are isocurvature perturbations which can modify in an interesting way the final spectrum of primordial fluctuations resulting from inflation | [['moduli', 'with', 'flat', 'or', 'runaway', 'classical', 'potentials', 'are', 'generic', 'in', 'theories', 'based', 'on', 'supersymmetry', 'and', 'extra', 'dimensions', 'they', 'mix', 'between', 'themselves', 'and', 'with', 'matter', 'fields', 'in', 'kinetic', 'terms', 'and', 'in', 'the', 'nonperturbative', 'superpotentials', 'as', 'the', 'result', 'interesting', 'structure', 'appears', 'in', 'the', 'scalar', 'potential', 'which', 'helps', 'to', 'stabilise', 'and', 'trap', 'moduli', 'and', 'leads', 'to', 'multifield', 'inflation', 'the', 'new', 'and', 'attractive', 'feature', 'of', 'multiinflationary', 'setup', 'are', 'isocurvature', 'perturbations', 'which', 'can', 'modify', 'in', 'an', 'interesting', 'way', 'the', 'final', 'spectrum', 'of', 'primordial', 'fluctuations', 'resulting', 'from', 'inflation']] | [-0.13301049123437683, 0.22291897805454353, -0.13232624564710774, 0.11509357923986735, -0.0936122802718554, -0.17917608267363208, -0.06184403452142659, 0.31032401972944723, -0.23826496715852877, -0.3217528278258181, 0.039655884009222556, -0.2291431902896291, -0.17300495856303583, 0.13390542702162983, -0.0581753176326553, 0.024772865132911614, -0.015263974781573555, 0.010945142080064542, -0.015935417764854652, -0.27490569144935795, 0.3766782163745827, 0.07939590874737427, 0.2224542564585989, 0.03182690770848206, 0.02108259720980753, -0.055160161462773416, 0.004110439841486054, -0.02696963107029413, -0.09531925501370872, 0.13190225409458817, 0.18308996974349015, 0.054404468896488346, 0.14446100649814822, -0.4591567132300065, -0.23131672115881502, 0.1701631241788467, 0.17870808385864453, 0.17653058242501207, -0.043492834556583364, -0.2778391775080106, 0.02528590749213357, -0.14993069593415217, -0.13316292929129653, -0.1699990068993856, -0.01347101967850769, -0.028769256731058346, -0.28130219541389473, 0.11069597930210516, 0.00041000067434607095, -0.029737477374757515, -0.07886133940867436, -0.07325466703853489, -0.09635540613053757, 0.03656668354251227, 0.1472519558428982, 0.0051358010803843725, 0.14902974251818693, -0.211581115372318, -0.06565560973220631, 0.41166199219447597, -0.14740645648612652, -0.16834869525498813, 0.21421593425071073, -0.10534781229647773, -0.12162812144415062, 0.09180780601929184, 0.16106738317125466, 0.0924670581424172, -0.09274676383579333, 0.17808874686863732, 0.08552225973503089, 0.12556717440164017, 0.1051184752335151, 0.08764302212871428, 0.3287778643626766, 0.07238131850946372, 0.057900746157507836, 0.14148607603446753, 0.006020648930980651, -0.14904442773327048, -0.3918258881909244, -0.09497037016568177, -0.09340284555506559, 0.06492864589183879, -0.13402260658165935, -0.1982773460999683, 0.40900568487007677, 0.11795289026225492, 0.2258400867957576, -0.0001080679954432043, 0.23895558514804752, 0.058329841557510746, 0.07841530161403855, 0.032603532530045436, 0.2946115644191633, 0.13175045403387445, 0.1122835767455399, -0.18674532969965152, -0.0739681447085775, 0.049694437346777615] |
709.1492 | SGRs and AXPs proposed as ancestors of the Magnificent seven | The recently suggested correlation between the surface temperature and the
magnetic field in isolated neutron stars does not seem to work well for SGRs,
AXPs and X-ray dim isolated neutron stars (XDINs; specifically the Magnificent
Seven or M7). Instead by appealing to a Color-Flavor Locked Quark Star (CFLQS)
we find a more natural explanation. In this picture, the heating is provided by
magnetic flux expulsion from a crust-less superconducting quark star. Combined
with our previous studies concerning the possibility of SGRs, AXPs, and XDINs
as CFLQSs, this provides another piece of evidence that these objects are all
related. Specifically, we propose that XDINs are the descendants of SGRs and
AXPs.
| astro-ph | the recently suggested correlation between the surface temperature and the magnetic field in isolated neutron stars does not seem to work well for sgrs axps and xray dim isolated neutron stars xdins specifically the magnificent seven or m7 instead by appealing to a colorflavor locked quark star cflqs we find a more natural explanation in this picture the heating is provided by magnetic flux expulsion from a crustless superconducting quark star combined with our previous studies concerning the possibility of sgrs axps and xdins as cflqss this provides another piece of evidence that these objects are all related specifically we propose that xdins are the descendants of sgrs and axps | [['the', 'recently', 'suggested', 'correlation', 'between', 'the', 'surface', 'temperature', 'and', 'the', 'magnetic', 'field', 'in', 'isolated', 'neutron', 'stars', 'does', 'not', 'seem', 'to', 'work', 'well', 'for', 'sgrs', 'axps', 'and', 'xray', 'dim', 'isolated', 'neutron', 'stars', 'xdins', 'specifically', 'the', 'magnificent', 'seven', 'or', 'm7', 'instead', 'by', 'appealing', 'to', 'a', 'colorflavor', 'locked', 'quark', 'star', 'cflqs', 'we', 'find', 'a', 'more', 'natural', 'explanation', 'in', 'this', 'picture', 'the', 'heating', 'is', 'provided', 'by', 'magnetic', 'flux', 'expulsion', 'from', 'a', 'crustless', 'superconducting', 'quark', 'star', 'combined', 'with', 'our', 'previous', 'studies', 'concerning', 'the', 'possibility', 'of', 'sgrs', 'axps', 'and', 'xdins', 'as', 'cflqss', 'this', 'provides', 'another', 'piece', 'of', 'evidence', 'that', 'these', 'objects', 'are', 'all', 'related', 'specifically', 'we', 'propose', 'that', 'xdins', 'are', 'the', 'descendants', 'of', 'sgrs', 'and', 'axps']] | [-0.10664268948951579, 0.22618758495653343, -0.07006944686383287, 0.17351620723863315, -0.18216840713502508, -0.050612203607109385, 0.09649374446544413, 0.40723291676595946, -0.1104798287318619, -0.3545114797687976, 0.029398346905135243, -0.32286160400955477, -0.10000416531584391, 0.23595498183472344, -0.06665041748538753, -0.03828128167889386, 0.061160836595101895, 0.037468972591961795, -0.0696718126304761, -0.24545794565483023, 0.3562884219164882, -0.017495304929249198, 0.14841884466227598, -0.005462311409526966, 0.022081450676702172, -0.08579848403389627, -0.0031528008240057485, -0.03890068007406788, -0.11113151546774941, 0.01772541807807773, 0.2203830383472127, 0.07618230843272443, 0.11770948702382429, -0.4273458024852465, -0.2585418215413169, 0.100075306262055, 0.15679039831369002, -0.005520024093163905, -0.10584274586140521, -0.24244845143266927, 0.08456822246243463, -0.21898020407028287, -0.17222426903094643, -0.07058780253908345, 0.04099069752134209, 0.022239545264464117, -0.20628656855584165, 0.09904340960990603, 0.12224158639997836, 0.019673988867168115, -0.14239093830600102, -0.0989444840560171, -0.016534957786691243, 0.03894474630452971, 0.11733600631721805, 0.08753314280499504, 0.10515658766853789, -0.158400632071126, -0.1596229402016561, 0.3535556775108676, -0.022572348659170495, -0.0035912116084282643, 0.24940489665996807, -0.22438708782439756, -0.22466371076564504, 0.08308232480564337, 0.05184073744463586, 0.1614345764854453, -0.18151132715430773, -0.02753502782651824, -0.05594541237985489, 0.15893595586052148, 0.046814870333003106, 0.05263098475531997, 0.3879263988635111, 0.15775785716272298, -0.04492842343148436, 0.13247480556786617, -0.16825664946026056, 0.015802357119516792, -0.24048399692836486, -0.1020315266083752, -0.1277480687147494, 0.13917362841216643, -0.0489397680546836, -0.15100584929443409, 0.33873687790288964, 0.0837624133695091, 0.1900193403762217, -0.019748156806361584, 0.30372718150649114, 0.06786222657989537, 0.1109381640834786, 0.17287982456716838, 0.3023076387226721, 0.22174950146386138, 0.08818339443304271, -0.2544096385881688, 0.062183955523281174, 0.014043321330089419] |
709.1493 | Marginal and density atomic Wehrl entropies for the Jaynes-Cummings
model | In this paper, we develop the notion of the marginal and density atomic Wehrl
entropies for two-level atom interacting with the single mode field, i.e.
Jaynes-Cummings model. For this system we show that there are relationships
between these quantities and both of the information entropies and the von
Neumann entropy.
| quant-ph | in this paper we develop the notion of the marginal and density atomic wehrl entropies for twolevel atom interacting with the single mode field ie jaynescummings model for this system we show that there are relationships between these quantities and both of the information entropies and the von neumann entropy | [['in', 'this', 'paper', 'we', 'develop', 'the', 'notion', 'of', 'the', 'marginal', 'and', 'density', 'atomic', 'wehrl', 'entropies', 'for', 'twolevel', 'atom', 'interacting', 'with', 'the', 'single', 'mode', 'field', 'ie', 'jaynescummings', 'model', 'for', 'this', 'system', 'we', 'show', 'that', 'there', 'are', 'relationships', 'between', 'these', 'quantities', 'and', 'both', 'of', 'the', 'information', 'entropies', 'and', 'the', 'von', 'neumann', 'entropy']] | [-0.1032485049776733, 0.17931473553180693, -0.05697709349915385, 0.03911328978370875, 0.07798671374097467, -0.18528946889564396, 0.041857837496791034, 0.341556493784301, -0.2728984531201422, -0.2522558622434735, 0.014642217608634383, -0.3487164221704006, -0.11100127527024597, 0.14019092253874987, -0.058044255988206714, 0.08776955643668771, 0.046436423901468515, 0.0945847885357216, -0.07858888381626457, -0.18372051248326898, 0.39409385865554214, 0.014376345640048385, 0.2921114222332835, 0.055395944751799105, 0.09667450261302292, 0.027158913452731213, 0.0507316259201616, 0.05794975426048041, -0.2026169852966268, 0.18052580116316677, 0.2377249485068023, 0.16529514789581298, 0.27954092919826506, -0.4271551426500082, -0.1885917514003813, 0.12640518169850112, 0.09059876425657422, 0.13454840241000057, -0.0008903646655380726, -0.28110251907259226, -0.05052779696881771, -0.2437064621411264, -0.0530795237980783, -0.10548924648202956, 0.0056230788235552605, 0.022778973393142225, -0.2616287425160408, 0.16402962449006736, 0.07802610926330089, 0.0848091334477067, -0.07633258217014373, -0.02131837508408353, -0.025800898405723274, 0.0932079114113003, -0.005359450357500464, -0.06561572112841532, 0.13104160651564598, -0.10849021607078611, -0.09524713966995478, 0.30423688956536354, -0.08115950397215783, -0.2310771930962801, 0.18422321654856205, -0.1779006583057344, -0.12997229072265326, -0.01608485563658178, 0.08337505452334881, 0.07563786908984184, -0.15945417992770672, 0.06861802626983263, -0.05334416772471741, 0.17944887444376945, 0.032744890020694584, 0.11777225089259445, 0.21636457927525043, 0.07471891842782498, 0.0328110427968204, 0.21504296142607926, -0.07580240442417562, -0.17092971953563393, -0.3161968868225813, -0.23479641433572396, -0.2031622358801542, 0.014178203530609607, -0.09669660181651124, -0.18858593264594675, 0.35927222080528737, 0.1689215031079948, 0.1733464037720114, 0.08005273321177811, 0.2626644234173, 0.19510178150609137, -0.010688058286905288, 0.10382555938325823, 0.22559542341157793, 0.1703991444222629, 0.059018807709217073, -0.28337041864171625, 0.0012799912970513105, 0.0975082535808906] |
709.1494 | Spectral resolved Measurement of the Nitrogen Fluorescence Emissions in
Air induced by Electrons | For the calorimetric determination of the primary energy of extensive air
showers, measured by fluorescence telescopes, a precise knowledge of the
conversion factor (fluorescence yield) between the deposited energy in the
atmosphere and the number of emitted fluorescence photons is essential. The
fluorescence yield depends on the pressure and the temperature of the air as
well as on the water vapor concentration. Within the scope of this work the
fluorescence yield for the eight strongest nitrogen emission bands between 300
nm and 400 nm has been measured using electrons from a Sr-90 source with
energies between 250 keV and 2000 keV. Measurements have been performed in dry
air, pure nitrogen, and a nitrogen-oxygen mixture at pressures ranging from 2
hPa to 990 hPa. Furthermore the influence of water vapor has been studied. A
new approach for the parametrization of the fluorescence yield was used to
analyze the data, leading to a consistent description of the fluorescence yield
with a minimal set of parameters. The resulting absolute accuracies for the
single nitrogen bands are in the order of 15%. In the investigated energy
range, the fluorescence yield proved to be independent of the energy of the
ionizing electrons.
| astro-ph | for the calorimetric determination of the primary energy of extensive air showers measured by fluorescence telescopes a precise knowledge of the conversion factor fluorescence yield between the deposited energy in the atmosphere and the number of emitted fluorescence photons is essential the fluorescence yield depends on the pressure and the temperature of the air as well as on the water vapor concentration within the scope of this work the fluorescence yield for the eight strongest nitrogen emission bands between 300 nm and 400 nm has been measured using electrons from a sr90 source with energies between 250 kev and 2000 kev measurements have been performed in dry air pure nitrogen and a nitrogenoxygen mixture at pressures ranging from 2 hpa to 990 hpa furthermore the influence of water vapor has been studied a new approach for the parametrization of the fluorescence yield was used to analyze the data leading to a consistent description of the fluorescence yield with a minimal set of parameters the resulting absolute accuracies for the single nitrogen bands are in the order of 15 in the investigated energy range the fluorescence yield proved to be independent of the energy of the ionizing electrons | [['for', 'the', 'calorimetric', 'determination', 'of', 'the', 'primary', 'energy', 'of', 'extensive', 'air', 'showers', 'measured', 'by', 'fluorescence', 'telescopes', 'a', 'precise', 'knowledge', 'of', 'the', 'conversion', 'factor', 'fluorescence', 'yield', 'between', 'the', 'deposited', 'energy', 'in', 'the', 'atmosphere', 'and', 'the', 'number', 'of', 'emitted', 'fluorescence', 'photons', 'is', 'essential', 'the', 'fluorescence', 'yield', 'depends', 'on', 'the', 'pressure', 'and', 'the', 'temperature', 'of', 'the', 'air', 'as', 'well', 'as', 'on', 'the', 'water', 'vapor', 'concentration', 'within', 'the', 'scope', 'of', 'this', 'work', 'the', 'fluorescence', 'yield', 'for', 'the', 'eight', 'strongest', 'nitrogen', 'emission', 'bands', 'between', 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'the', 'energy', 'of', 'the', 'ionizing', 'electrons']] | [-7.555512049552148e-05, 0.18660416862889556, -0.037832543062433825, 0.011794404310338569, 0.06575259143666265, -0.060934467061522044, 0.04481394078965455, 0.4115107812148136, -0.2009742684463786, -0.40832543942302013, 0.048535945302887164, -0.33837258203550796, 0.028505801946529883, 0.227580275455121, 0.024029588930753205, 0.04097485318508113, 0.053310117914771596, 0.004012625364865635, -0.03852720336922383, -0.15257100084664177, 0.2220753134419754, 0.13599204615131966, 0.2884866761488055, 0.1474868203016934, 0.12009274734829453, -0.030188725339390602, -0.016723088631737354, -0.032565655200954925, -0.13738306996360572, 0.1098429000792259, 0.24783727898942615, 0.061686248028008824, 0.18417407240869885, -0.4026951861619798, -0.23978176399732132, 0.09810395249955091, 0.08338588258123905, 0.053930492197083034, -0.047256749167064495, -0.23687226668255507, 0.030187252133630858, -0.1320277513926707, -0.10571261483532977, 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709.1495 | Thermodynamic restrictions on evolutionary optimization of transcription
factor proteins | Conformational fluctuations are believed to play an important role in the
process by which transcription factor proteins locate and bind their target
site on the genome of a bacterium. Using a simple model, we show that the
binding time can be minimized, under selective pressure, by adjusting the
spectrum of conformational states so that the fraction of time spent in more
mobile conformations is matched with the target recognition rate. The
associated optimal binding time is then within an order of magnitude of the
limiting binding time imposed by thermodynamics, corresponding to an idealized
protein with instant target recognition. Numerical estimates suggest that
typical bacteria operate in this regime of optimized conformational
fluctuations.
| cond-mat.soft q-bio.BM | conformational fluctuations are believed to play an important role in the process by which transcription factor proteins locate and bind their target site on the genome of a bacterium using a simple model we show that the binding time can be minimized under selective pressure by adjusting the spectrum of conformational states so that the fraction of time spent in more mobile conformations is matched with the target recognition rate the associated optimal binding time is then within an order of magnitude of the limiting binding time imposed by thermodynamics corresponding to an idealized protein with instant target recognition numerical estimates suggest that typical bacteria operate in this regime of optimized conformational fluctuations | [['conformational', 'fluctuations', 'are', 'believed', 'to', 'play', 'an', 'important', 'role', 'in', 'the', 'process', 'by', 'which', 'transcription', 'factor', 'proteins', 'locate', 'and', 'bind', 'their', 'target', 'site', 'on', 'the', 'genome', 'of', 'a', 'bacterium', 'using', 'a', 'simple', 'model', 'we', 'show', 'that', 'the', 'binding', 'time', 'can', 'be', 'minimized', 'under', 'selective', 'pressure', 'by', 'adjusting', 'the', 'spectrum', 'of', 'conformational', 'states', 'so', 'that', 'the', 'fraction', 'of', 'time', 'spent', 'in', 'more', 'mobile', 'conformations', 'is', 'matched', 'with', 'the', 'target', 'recognition', 'rate', 'the', 'associated', 'optimal', 'binding', 'time', 'is', 'then', 'within', 'an', 'order', 'of', 'magnitude', 'of', 'the', 'limiting', 'binding', 'time', 'imposed', 'by', 'thermodynamics', 'corresponding', 'to', 'an', 'idealized', 'protein', 'with', 'instant', 'target', 'recognition', 'numerical', 'estimates', 'suggest', 'that', 'typical', 'bacteria', 'operate', 'in', 'this', 'regime', 'of', 'optimized', 'conformational', 'fluctuations']] | [-0.11042989646517301, 0.18867749353060478, -0.045077715254495894, 0.05806740402587933, 0.015612845004132363, -0.12286245118799842, 0.08352706015967162, 0.42229936288389486, -0.26516756777593914, -0.294751095865746, 0.013182200323501848, -0.2298519296027654, -0.1471085056365855, 0.1615304436547006, -0.03795597686811424, 0.011554014906122357, 0.08637853791840391, 0.08879999086194862, 0.03530268992536363, -0.21194945845291413, 0.23177094974316062, 0.15563421120323176, 0.27657248288912256, 0.05074490483724553, 0.08428148385466991, -0.045614902350425195, 0.03929266334404197, -0.0250982005866162, -0.15849299734118097, 0.11700036688821093, 0.2826844188492885, 0.08866124639320558, 0.2813333244994283, -0.46794115524508256, -0.20834088388344157, 0.10751273586884537, 0.17059460922300948, 0.12950630506100874, -0.04938275738687778, -0.26663183458808776, 0.06180560125390364, -0.1271071790766993, -0.08911633022146019, -0.07446278051464958, 0.03290685096475403, 0.07406921950951878, -0.24091353021825837, 0.13053668296145918, 0.02072794203011863, 0.04272089615892784, -0.1112172083179178, -0.0716733030018817, -0.057530104625656935, 0.20261602878850776, 0.08288350836780804, 0.053415098421242646, 0.27249511232006207, -0.12716936549806424, -0.08579695812401782, 0.3941518458480065, -0.028749513741689776, -0.21087730854782646, 0.15402841347731255, -0.10850071681630427, -0.14000785362544116, 0.20190368053725863, 0.16042351507606495, 0.1345963525396269, -0.18914508473836875, 0.010837332872504912, 0.04458369930950611, 0.24354963878631197, 0.09543101851976749, -0.006689920378601656, 0.18633582244371683, 0.20842943148506163, 0.07155074766812335, 0.15862797397143513, -0.10262754172822296, -0.12542364998943115, -0.24231100219211218, -0.12498045290729641, -0.19949755389078527, 0.04235415488499036, -0.08524516022512256, -0.1250134026425668, 0.36143062515101865, 0.10858509171572803, 0.20074431868208226, 0.06130638720768512, 0.21008804733906172, 0.07291259098925784, 0.0870422308057118, 0.04393271706067026, 0.17867043933550936, 0.016677600131741008, 0.04699926682752022, -0.30245102866577495, 0.1512201784953343, 0.048604837594042834] |
709.1496 | Coalescence in low-viscosity liquids | The expected universal dynamics associated with the initial stage of droplet
coalescence are difficult to study visually due to the rapid motion of the
liquid and the awkward viewing geometry. Here we employ an electrical method to
study the coalescence of two inviscid droplets at early times. We measure the
growth dynamics of the bridge connecting the two droplets and observe a new
asymptotic regime inconsistent with previous theoretical predictions. The
measurements are consistent with a model in which the two liquids coalesce with
a slightly deformed interface.
| cond-mat.soft | the expected universal dynamics associated with the initial stage of droplet coalescence are difficult to study visually due to the rapid motion of the liquid and the awkward viewing geometry here we employ an electrical method to study the coalescence of two inviscid droplets at early times we measure the growth dynamics of the bridge connecting the two droplets and observe a new asymptotic regime inconsistent with previous theoretical predictions the measurements are consistent with a model in which the two liquids coalesce with a slightly deformed interface | [['the', 'expected', 'universal', 'dynamics', 'associated', 'with', 'the', 'initial', 'stage', 'of', 'droplet', 'coalescence', 'are', 'difficult', 'to', 'study', 'visually', 'due', 'to', 'the', 'rapid', 'motion', 'of', 'the', 'liquid', 'and', 'the', 'awkward', 'viewing', 'geometry', 'here', 'we', 'employ', 'an', 'electrical', 'method', 'to', 'study', 'the', 'coalescence', 'of', 'two', 'inviscid', 'droplets', 'at', 'early', 'times', 'we', 'measure', 'the', 'growth', 'dynamics', 'of', 'the', 'bridge', 'connecting', 'the', 'two', 'droplets', 'and', 'observe', 'a', 'new', 'asymptotic', 'regime', 'inconsistent', 'with', 'previous', 'theoretical', 'predictions', 'the', 'measurements', 'are', 'consistent', 'with', 'a', 'model', 'in', 'which', 'the', 'two', 'liquids', 'coalesce', 'with', 'a', 'slightly', 'deformed', 'interface']] | [-0.11228032419140535, 0.1730778011328353, -0.1560818642610684, 0.033164188694420525, -0.028273157796568492, -0.13195650207026946, 0.010597144467861985, 0.34954743713288655, -0.24643701635597443, -0.28719212108196435, 0.1048816130906661, -0.2828298583838411, -0.1218790560325777, 0.1566929779814514, -0.025663466219239952, 0.04543280609438873, 0.05921598154765723, -0.004723626972091469, -0.07633350537666543, -0.17480742414376105, 0.3174497368851338, 0.04274939423141239, 0.28393340817208146, 0.00618940033018589, 0.07103613354477355, -0.058132486571346155, -0.012319847152949396, 0.03475553607991473, -0.20528977488125252, 0.09854193079412323, 0.17897232770337723, 0.011357467939061198, 0.21366526624611157, -0.49836253323750995, -0.166099475199272, 0.051328473798507315, 0.13454578553897922, 0.14416827033247417, -0.06012313127179037, -0.26529362703546544, 0.025888486924073237, -0.15992227789882402, -0.181033217580989, -0.01820545152507045, 0.029293033659500492, 0.023387641331448158, -0.20914509627883407, 0.10478013825856826, 0.0497796915429221, -0.005340129819656299, -0.06719043286813592, -0.04625223837898706, -0.01657228334277699, 0.10600048257567157, 0.0865255248380973, 0.03352194706200284, 0.161631837349639, -0.1551778365405467, -0.08061064751183783, 0.36861310321414337, -0.05017960301219401, -0.15610595371320166, 0.2877456268761307, -0.1955535737691786, -0.08916964942843399, 0.18097133422799577, 0.18416006679763086, 0.11602507486664267, -0.12865301611071284, -0.03807097353406293, 0.002271141618786549, 0.14162829517259856, 0.04798028795366091, -0.028320111810568382, 0.25541332609943557, 0.2296503601934422, -0.002626311859454621, 0.151428603366102, -0.09610475764930015, -0.1458900100789668, -0.2829832423541864, -0.1452181655701927, -0.14132681262510066, 0.03371852170675993, -0.10734581494332153, -0.15930686141787606, 0.3759124641153242, 0.1331332558342679, 0.254620807523183, 0.07341238627321384, 0.26757892343977635, 0.07328844017386225, 0.011844340363908983, 0.05081362617255019, 0.272998210137964, 0.11834620451554656, 0.09568165405653417, -0.25883368494793435, 0.08139943614316342, 0.03712846298003569] |
709.1497 | Selection of special orientations in relativistic collisions of deformed
heavy nuclei | We have studied U+U collisions at $\sqrt{s_{NN}}$ = 200 GeV using Monte Carlo
Glauber, UrQMD and AMPT models. We find that it is possible to separate central
tip-tip events as well as central body-body events on the basis of cuts on
multiplicity and magnitude of the reduced flow vector.
| hep-ph | we have studied uu collisions at sqrts_nn 200 gev using monte carlo glauber urqmd and ampt models we find that it is possible to separate central tiptip events as well as central bodybody events on the basis of cuts on multiplicity and magnitude of the reduced flow vector | [['we', 'have', 'studied', 'uu', 'collisions', 'at', 'sqrts_nn', '200', 'gev', 'using', 'monte', 'carlo', 'glauber', 'urqmd', 'and', 'ampt', 'models', 'we', 'find', 'that', 'it', 'is', 'possible', 'to', 'separate', 'central', 'tiptip', 'events', 'as', 'well', 'as', 'central', 'bodybody', 'events', 'on', 'the', 'basis', 'of', 'cuts', 'on', 'multiplicity', 'and', 'magnitude', 'of', 'the', 'reduced', 'flow', 'vector']] | [-0.047971830082436405, 0.18491522539018965, -0.18055790939251892, 0.2111505146337246, 0.05233072986205419, -0.07202436813774209, -0.08280331462932129, 0.4208770792465657, -0.215255520810994, -0.32036552554927766, -0.023208341153804213, -0.3821730051810543, 0.11094398747081868, 0.17075583695744476, 0.057668535048530124, 0.10167885075012843, 0.18250354076735675, 0.020420121814822778, -0.04460614379907687, -0.1759872172745721, 0.257519393072774, 0.14919400841851407, 0.19605978077743202, 0.08906562058837153, 0.13370788846805226, 0.1280167025300519, 0.0222656852468693, 0.015072151320055127, -0.21838521283719578, -0.017829951863556442, 0.24845762413898834, 0.047735722813134394, 0.11641771115440254, -0.3818534593253086, -0.17638164878978083, 0.13670669301063754, 0.14120249663634846, 0.06825958274203003, -0.04005787962523755, -0.2170872084777026, 0.1644305671021963, -0.3030684716068208, -0.10205189489837115, -0.04405121439291785, 0.00047441501131591696, 0.08552385057070448, -0.27669071188817423, 0.1752119229907597, -0.03659113754353408, 0.1203724170930703, 0.03839007605953763, -0.21226452537424242, -0.15733111365989316, -0.02451578698431452, 0.08056765695073409, 0.12245407780574169, 0.20769326231675223, -0.09923844171620051, -0.22950181524114063, 0.36501248211910325, 0.030836542253382504, -0.11747950408607721, 0.23495713537249685, -0.16077531992535418, -0.1598199700626234, 0.13053030631272122, 0.2775616612052545, 0.12371018278645352, -0.2096892045616793, -0.013940220856360005, -0.05638481284646938, 0.1419760616069349, 0.07441783129858474, -0.0019252109826387216, 0.12589648319408298, 0.21333867528786263, -0.014871391113653468, 0.11088821281555283, -0.15414249855287684, -0.184232548748696, -0.37939526738288504, -0.0344236788029472, -0.11470434938867886, 0.03805915571865626, -0.12114497879459425, -0.05999634319838757, 0.34978612209670246, 0.17707542191298367, 0.28208565318103257, -0.07204205643696089, 0.22220759101522466, 0.11481529041581477, 0.07946686106151901, 0.13000138273734288, 0.24045482685323805, 0.12625980225372282, 0.1917124334916783, -0.19129992840074314, 0.015188136063140215, 0.0901555238912503] |
709.1498 | Some remarks on conic degeneration and bending of Poincar\'e-Einstein
metrics | Let $(M,g)$ be a compact K\"ahler-Einstein manifold with $c_1 > 0$. Denote by
$K\to M$ the canonical line-bundle, with total space $X$, and $X_0$ the
singular space obtained by blowing down $X$ along its zero section. We employ a
construction by Page and Pope and discuss an interesting multi-parameter family
of Poincar\'e--Einstein metrics on $X$. One 1-parameter subfamily
$\{g_t\}_{t>0}$ has the property that as $t\searrow 0$, $g_t$ converges to a PE
metric $g_0$ on $X_0$ with conic singularity, while $t^{-1}g_t$ converges to a
complete Ricci-flat K\"ahler metric $\hat{g}_0$ on $X$. Another 1-parameters
subfamily has an edge singularity along the zero section of $X$, with cone
angle depending on the parameter, but has constant conformal infinity. These
illustrate some unexpected features of the Poincar\'e-Einstein moduli space.
| math.DG | let mg be a compact kahlereinstein manifold with c_1 0 denote by kto m the canonical linebundle with total space x and x_0 the singular space obtained by blowing down x along its zero section we employ a construction by page and pope and discuss an interesting multiparameter family of poincareeinstein metrics on x one 1parameter subfamily g_t_t0 has the property that as tsearrow 0 g_t converges to a pe metric g_0 on x_0 with conic singularity while t1g_t converges to a complete ricciflat kahler metric hatg_0 on x another 1parameters subfamily has an edge singularity along the zero section of x with cone angle depending on the parameter but has constant conformal infinity these illustrate some unexpected features of the poincareeinstein moduli space | [['let', 'mg', 'be', 'a', 'compact', 'kahlereinstein', 'manifold', 'with', 'c_1', '0', 'denote', 'by', 'kto', 'm', 'the', 'canonical', 'linebundle', 'with', 'total', 'space', 'x', 'and', 'x_0', 'the', 'singular', 'space', 'obtained', 'by', 'blowing', 'down', 'x', 'along', 'its', 'zero', 'section', 'we', 'employ', 'a', 'construction', 'by', 'page', 'and', 'pope', 'and', 'discuss', 'an', 'interesting', 'multiparameter', 'family', 'of', 'poincareeinstein', 'metrics', 'on', 'x', 'one', '1parameter', 'subfamily', 'g_t_t0', 'has', 'the', 'property', 'that', 'as', 'tsearrow', '0', 'g_t', 'converges', 'to', 'a', 'pe', 'metric', 'g_0', 'on', 'x_0', 'with', 'conic', 'singularity', 'while', 't1g_t', 'converges', 'to', 'a', 'complete', 'ricciflat', 'kahler', 'metric', 'hatg_0', 'on', 'x', 'another', '1parameters', 'subfamily', 'has', 'an', 'edge', 'singularity', 'along', 'the', 'zero', 'section', 'of', 'x', 'with', 'cone', 'angle', 'depending', 'on', 'the', 'parameter', 'but', 'has', 'constant', 'conformal', 'infinity', 'these', 'illustrate', 'some', 'unexpected', 'features', 'of', 'the', 'poincareeinstein', 'moduli', 'space']] | [-0.20624705356506942, 0.08617474331428336, -0.07367651321110316, -0.013557261927053333, -0.11820747337769717, -0.21704376647636917, 0.006626331018439183, 0.36541101853363217, -0.258505952412573, -0.1594507779183914, 0.09667618908376123, -0.34145876007775466, -0.10746983449207619, 0.1451438956564137, -0.11525818118243478, -0.002183786832514064, 0.04339923777345878, 0.11701699279559155, -0.15965623669520332, -0.2621288761186103, 0.4460204197714726, -0.02360069574788213, 0.2064584171574097, 0.044456371129490434, 0.18377626758156113, -0.031496181069330005, 0.06581337285848955, 0.02227870256489647, -0.23173396220499853, 0.06308417353817883, 0.24091328397238007, 0.0795198250717173, 0.21585083200673882, -0.28452992202946914, -0.19281416637604706, 0.18316649816309413, 0.12914626901814094, -0.06487523648150575, 0.017164303393413623, -0.302978549276789, 0.1391034456492586, -0.06992899440228939, -0.2386938085507912, -0.09373561575387915, 0.07453130148351192, -0.02283133412177752, -0.19096277367013195, -0.03534150505244422, 0.07051700977608562, 0.014736929271991054, 0.003289633509120904, -0.1523944872431457, -0.14325602720103536, 0.02543601064244285, 0.09798158338914315, 0.17484245651091138, 0.12490986989578232, -0.018894348360966737, -0.07245982724901599, 0.3321004253846089, -0.14965068570745643, -0.2560408858892818, 0.0476308309356682, -0.17146028726516913, -0.11421531154386079, 0.1821671407960821, 0.10157499467022717, 0.2071848662996975, -0.010726668198670571, 0.2748802950358368, -0.047209301121377695, 0.08626149767078459, 0.13649592823348938, -0.02505065818259027, 0.15477322085450093, 0.09673662828281522, 0.15653418686706572, 0.08816695992815464, -0.031065428365642824, -0.015659327199682594, -0.4004922173684463, -0.19866102109881467, -0.13655304592490816, 0.26091427880649765, -0.23342676000672025, -0.19127102176037927, 0.32458834395511077, -0.03388505351673909, 0.29449071468940624, 0.09242279871056477, 0.1807535864878446, 0.025561330868125273, -0.009028650615073274, 0.08584518303784232, 0.13960793741401478, 0.163141532651692, 0.01589054731981984, -0.13597709189246718, -0.015160787862259894, 0.1443263852056892] |
709.1499 | Markoff Equation and Nilpotent Matrices | A triple (a,b,c) of positive integers is called a Markoff triple iff it
satisfies the diophantine equation a2 + b2 + c2 = abc .
Recasting the Markoff tree, whose vertices are Markoff triples, in the
framework of intergral upper triangular 3x3 matrices, it will be shown that the
largest member of such a triple determines the other two uniquely. This answers
a question which has been open for almost 100 years.
| math.NT | a triple abc of positive integers is called a markoff triple iff it satisfies the diophantine equation a2 b2 c2 abc recasting the markoff tree whose vertices are markoff triples in the framework of intergral upper triangular 3x3 matrices it will be shown that the largest member of such a triple determines the other two uniquely this answers a question which has been open for almost 100 years | [['a', 'triple', 'abc', 'of', 'positive', 'integers', 'is', 'called', 'a', 'markoff', 'triple', 'iff', 'it', 'satisfies', 'the', 'diophantine', 'equation', 'a2', 'b2', 'c2', 'abc', 'recasting', 'the', 'markoff', 'tree', 'whose', 'vertices', 'are', 'markoff', 'triples', 'in', 'the', 'framework', 'of', 'intergral', 'upper', 'triangular', '3x3', 'matrices', 'it', 'will', 'be', 'shown', 'that', 'the', 'largest', 'member', 'of', 'such', 'a', 'triple', 'determines', 'the', 'other', 'two', 'uniquely', 'this', 'answers', 'a', 'question', 'which', 'has', 'been', 'open', 'for', 'almost', '100', 'years']] | [-0.23483659233726725, 0.10559121101601597, -0.03773133466978941, 0.059543107389746344, -0.08712920078131206, -0.19710291678305059, 0.01591067566187121, 0.306193065497449, -0.32499670229085226, -0.2464915223981199, 0.1036824658016592, -0.32387955248465433, -0.1444150116157663, 0.14395297234467067, -0.017594241016708752, 0.05805519071809078, 0.1101502397453741, 0.13276684530736768, -0.028634786725674263, -0.2936041274943444, 0.32966628725476127, -0.06047012971248478, 0.1368417332688456, 0.04657586716005907, 0.13325094290570738, -0.005117855911307475, 0.03324832730269169, -0.004292670082684387, -0.17395589394233385, 0.08520074722935747, 0.2398253018481602, 0.13408149640171735, 0.23744790847002364, -0.27619615306064266, -0.07649088941295357, 0.1476106249850572, 0.17716082734028427, -0.039262112485149, -0.01502756926450221, -0.2190770999638035, 0.1490798883468789, -0.1473297874121379, -0.14823894735480495, -0.001577687100507319, 0.10396302498616826, -0.006227590171072413, -0.30096978149102893, -0.025485075349399054, 0.12145405773566488, 0.03118073697987711, -0.012429220012991744, -0.18682530213161097, -0.03915200774174403, 0.07904573777854881, -0.07086746793527923, 0.07788553442771766, 0.03252939523800331, -0.022264024041599922, -0.13020624570302008, 0.36418224638327956, -0.015293117160634959, -0.22769093088230447, 0.09529075000489898, -0.1540884419810027, -0.26126585334970837, 0.15866152253275848, 0.033285183325300324, 0.11839605758295339, -0.1685088762520429, 0.22308256144306676, -0.17531367641983225, 0.14447487025651806, 0.13839677728794733, -0.041986735359601235, 0.21236641788410077, 0.10155590684564017, 0.10629030368427801, 0.10994444075228837, 0.008134494792423485, -0.07940207777188762, -0.2481684709953911, -0.16796403762418777, -0.1923176601446946, 0.13992768408292355, -0.09328402682234917, -0.250229946045746, 0.36617178061757893, 0.041087339796564155, 0.19971276869011276, -0.006694335909902721, 0.19534110249129727, 0.13113527865532568, 0.09217305712210123, 0.08672338155070868, 0.1614196604145143, 0.18965286168831347, -0.0068611440741840534, -0.10702239166643909, 0.03732146856183296, 0.13479080997571788] |
709.15 | The Graver Complexity of Integer Programming | In this article we establish an exponential lower bound on the Graver
complexity of integer programs. This provides new type of evidence supporting
the presumable intractability of integer programming. Specifically, we show
that the Graver complexity of the incidence matrix of the complete bipartite
graph $K_{3,m}$ satisfies $g(m)=\Omega(2^m)$, with $g(m)\geq 17\cdot 2^{m-3}-7$
for every $m>3$ .
| math.CO cs.CC cs.DM math.AC | in this article we establish an exponential lower bound on the graver complexity of integer programs this provides new type of evidence supporting the presumable intractability of integer programming specifically we show that the graver complexity of the incidence matrix of the complete bipartite graph k_3m satisfies gmomega2m with gmgeq 17cdot 2m37 for every m3 | [['in', 'this', 'article', 'we', 'establish', 'an', 'exponential', 'lower', 'bound', 'on', 'the', 'graver', 'complexity', 'of', 'integer', 'programs', 'this', 'provides', 'new', 'type', 'of', 'evidence', 'supporting', 'the', 'presumable', 'intractability', 'of', 'integer', 'programming', 'specifically', 'we', 'show', 'that', 'the', 'graver', 'complexity', 'of', 'the', 'incidence', 'matrix', 'of', 'the', 'complete', 'bipartite', 'graph', 'k_3m', 'satisfies', 'gmomega2m', 'with', 'gmgeq', '17cdot', '2m37', 'for', 'every', 'm3']] | [-0.19185817079143783, 0.05382141714953297, -0.06943896539308422, 0.07355686106865167, -0.10750663735191612, -0.1363531863682118, 0.08877173752761354, 0.2892530451428291, -0.26561485464666407, -0.2893306985862699, 0.11075050652931061, -0.24394097003866644, -0.2002551857126402, 0.1535839071570366, -0.09797211135646292, 0.043678541722543096, 0.04702282746267669, 0.043819645255365795, -0.09238703597300485, -0.2989456606692151, 0.3235175029612055, -0.018255780998836544, 0.2061701319819572, 0.07123594015252356, 0.08434832870375876, 0.06531592956104991, 0.030877168199010922, 0.02332224511523165, -0.20147453139461327, 0.17418410719427116, 0.26998279294839095, 0.27805360968169923, 0.27756395501395065, -0.4255244359071595, -0.07495028136626762, 0.13367925151525176, 0.08989960401702453, 0.0802534107283196, -0.07764576326407419, -0.18046251909040353, 0.10652568636863839, -0.12389421545188217, -0.1386809833165185, -0.00994958799314119, 0.0680035004157153, -0.040649949883421264, -0.2981087711694486, 0.009223758909559133, 0.12956222090139694, 0.1017084003462657, -0.020968219304146867, -0.20524252322958966, 0.03165793126704646, 0.04235158632418104, -0.052171055446652806, 0.0164482464155584, -0.042299484734779555, -0.07217338346127494, -0.1890477241751939, 0.30802480624440837, -0.03491199215504286, -0.14986970870956487, 0.15557112855900662, -0.1428706684496765, -0.22874326194983488, 0.11771428409744711, 0.16139622165949322, 0.08385305162336604, -0.03138283128831901, 0.1624771766729799, -0.1549019378646478, 0.20507317259177274, 0.05451152077419501, 0.0667135053423836, 0.1145402707944752, 0.18827913820232248, 0.1672436048952388, 0.24013590628244713, 0.030902567214569916, 0.008514143891778648, -0.3114013535281022, -0.24628042628390567, -0.22963978371162916, 0.060124399834403805, -0.17658214040064052, -0.2113296505355952, 0.3713998177326193, 0.09397172189189815, 0.08941534920321668, 0.21539265640518246, 0.2342102104024996, 0.13678950091422187, -0.014165196531251366, 0.153498356283486, 0.1472968393023692, 0.14853531801525285, 0.0035778291012142217, -0.23944275427207934, 0.11552525828957703, 0.12666179425101362] |
709.1501 | The Luminous and Carbon-Rich Supernova 2006gz: A Double Degenerate
Merger? | Spectra and light curves of SN 2006gz show the strongest signature of
unburned carbon and one of the slowest fading light curves ever seen in a type
Ia event (Delta m_15 = 0.69 +/- 0.04). The early-time Si II velocity is low,
implying it was slowed by an envelope of unburned material. Our best estimate
of the luminosity implies M_V = -19.74 and the production of ~ 1.2 M_sun of
56Ni. This suggests a super-Chandrasekhar mass progenitor. A double degenerate
merger is consistent with these observations.
| astro-ph | spectra and light curves of sn 2006gz show the strongest signature of unburned carbon and one of the slowest fading light curves ever seen in a type ia event delta m_15 069 004 the earlytime si ii velocity is low implying it was slowed by an envelope of unburned material our best estimate of the luminosity implies m_v 1974 and the production of 12 m_sun of 56ni this suggests a superchandrasekhar mass progenitor a double degenerate merger is consistent with these observations | [['spectra', 'and', 'light', 'curves', 'of', 'sn', '2006gz', 'show', 'the', 'strongest', 'signature', 'of', 'unburned', 'carbon', 'and', 'one', 'of', 'the', 'slowest', 'fading', 'light', 'curves', 'ever', 'seen', 'in', 'a', 'type', 'ia', 'event', 'delta', 'm_15', '069', '004', 'the', 'earlytime', 'si', 'ii', 'velocity', 'is', 'low', 'implying', 'it', 'was', 'slowed', 'by', 'an', 'envelope', 'of', 'unburned', 'material', 'our', 'best', 'estimate', 'of', 'the', 'luminosity', 'implies', 'm_v', '1974', 'and', 'the', 'production', 'of', '12', 'm_sun', 'of', '56ni', 'this', 'suggests', 'a', 'superchandrasekhar', 'mass', 'progenitor', 'a', 'double', 'degenerate', 'merger', 'is', 'consistent', 'with', 'these', 'observations']] | [-0.09558187812714405, 0.12998374128340112, -0.04461509327790359, 0.11571593626498858, -0.08525298406631208, -0.15924325411026252, 0.0791741458063082, 0.390363423517201, -0.1671205635307493, -0.3001184389903778, 0.052987670552882754, -0.3145193724052572, -0.011024561640380586, 0.23062211015011844, -0.08208822587891142, -0.05487808641954893, 0.14523492336682067, -0.047004800829354945, -0.12466862990816192, -0.2847645890490129, 0.2537305868378409, 0.04780228676774153, 0.19541991845045875, -0.020205831683308976, 0.05693767146383435, -0.10147090182957672, -0.037055864795991336, -0.126430621041303, -0.14205950548554339, 0.027743882048170923, 0.14995454738155098, 0.15330290417868372, 0.13948509930746583, -0.2944118283779883, -0.2329239398241043, 0.1090880136073726, 0.20581165180973163, 0.031523012088699745, -0.06875111846957446, -0.21645338235922704, 0.03843211634766038, -0.22319894132953955, -0.2149582036555086, 0.1904906225674672, 0.07525207807605223, 0.031301736150209494, -0.23968151227639214, 0.17975575142971625, 0.04811490090881906, 0.05337232925855305, -0.07912582267223425, -0.12962574909140198, -0.1426798440956102, -0.07360631674414546, 0.07345960079692304, 0.04071112331457254, 0.08527592270317055, -0.10117634982949622, 0.04752834066862195, 0.41782619481588285, -0.12069195386862791, 0.11022215868380465, 0.15219688426884936, -0.1635529071138036, -0.0951072441402641, 0.23151704467401454, 0.10109911665956421, 0.10258229247936071, -0.16950112603968237, -0.028337465087022836, 0.01697054331577042, 0.21122194662769667, 0.03817357805205464, 0.06395586562149863, 0.31878793016984697, 0.18343435620843637, -0.03941934271261278, 0.006940300985262162, -0.22509205346450029, 0.03073833606251311, -0.2564964358291657, -0.19840013092133876, -0.1289092341988779, 0.1557826726873428, -0.19007567784741164, -0.12144368571206564, 0.32208266183052486, 0.014498961487466969, 0.26373551123798256, 0.012601990513957856, 0.22587234976633294, 0.10106544818575834, 0.07532257747995418, 0.14209965701930496, 0.37678547909983046, 0.23413068088191766, 0.11892681813049244, -0.25735742308017684, 0.12503083153037217, 0.009595236570642488] |
709.1502 | Ignition of superconducting vortices by acoustic standing waves | Nucleation of vortices in a superconductor below the first critical field can
be assisted by transverse sound in the GHz frequency range. Vortices will enter
and exist the superconductor at the frequency of the sound. We compute the
threshold parameters of the sound and show that this effect is within
experimental reach.
| cond-mat.supr-con | nucleation of vortices in a superconductor below the first critical field can be assisted by transverse sound in the ghz frequency range vortices will enter and exist the superconductor at the frequency of the sound we compute the threshold parameters of the sound and show that this effect is within experimental reach | [['nucleation', 'of', 'vortices', 'in', 'a', 'superconductor', 'below', 'the', 'first', 'critical', 'field', 'can', 'be', 'assisted', 'by', 'transverse', 'sound', 'in', 'the', 'ghz', 'frequency', 'range', 'vortices', 'will', 'enter', 'and', 'exist', 'the', 'superconductor', 'at', 'the', 'frequency', 'of', 'the', 'sound', 'we', 'compute', 'the', 'threshold', 'parameters', 'of', 'the', 'sound', 'and', 'show', 'that', 'this', 'effect', 'is', 'within', 'experimental', 'reach']] | [-0.18113593021945024, 0.2778420904830385, -0.06262356946423936, 0.009480988069509085, -0.07824170247477014, -0.0708249491514065, 0.09902947274251626, 0.34319359193054527, -0.22632368141785264, -0.27115945199217933, 0.07125631147153819, -0.24958822483984897, -0.04742390476167202, 0.22809675009921193, 0.03817905175338428, 0.014825400891892899, -0.021536179442101948, 0.07619237210243367, -0.03353635415596028, -0.1657638049039703, 0.3080462356089041, 0.019230950283459745, 0.34021996884033656, 0.11699986699610375, 0.05881044153983776, -0.05509841079429652, 0.08817641155865903, 0.044408398653523855, -0.18475496617233708, -0.00369750140593029, 0.28255591813761455, 0.027062918865480103, 0.22567789901334506, -0.4189988737925887, -0.2179635387415496, 0.06473896150978711, 0.17935065277673018, 0.18438739182714087, 0.017286157056402702, -0.26913699033097005, 0.10786815867042886, -0.1317019937739063, -0.12638434722451236, -0.029759967556366555, 0.01158250289154239, 0.031519167949087344, -0.23727512961396804, 0.1174471399281174, 0.029369273366263278, 0.08205834767208077, -0.06273673929703924, -0.050937401184525624, -0.020917301899037108, 0.0705769869337718, 0.00038487680453377275, 0.04784302174364431, 0.1657423546197466, -0.18029010449446595, -0.08029359113425016, 0.3423232952437292, -0.10552679095417261, -0.10969626063552614, 0.12447133123014982, -0.19036132723648244, -0.01779764068599504, 0.16232047681338513, 0.16868283277234206, 0.08764189956295573, -0.06533990125619592, 0.050814449856541336, -0.009174506162078334, 0.19126233023528655, 0.11399542954481709, 0.050673285069373936, 0.28891362441488755, 0.21030988171696663, 0.03624617727473378, 0.1560395266480135, -0.147739528821638, -0.021525635957144774, -0.35342692053661895, -0.15495641013750663, -0.19396375846834138, -0.02547845025681174, -0.03585611204023455, -0.11758678539011341, 0.4129624894211212, 0.23444892801881695, 0.17400338863416648, 0.02211329076313772, 0.2691779598535504, 0.16918854673321432, 0.08921448610579738, 0.0908607165239608, 0.34087714974661, 0.09803608869865107, 0.1375478968883936, -0.25860159842257135, 0.006283044065080153, -0.01617681118659675] |
709.1503 | A Scintillator Purification System for the Borexino Solar Neutrino
Detector | Purification of the 278 tons of liquid scintillator and 889 tons of buffer
shielding for the Borexino solar neutrino detector was performed with a system
that combined distillation, water extraction, gas stripping and filtration. The
purification of the scintillator achieved unprecedented low backgrounds for the
large scale liquid scintillation detector. This paper describes the principles
of operation, design, construction and commissioning of the purification
system, and reviews the requirements and methods to achieve system cleanliness
and leak-tightness.
| physics.ins-det | purification of the 278 tons of liquid scintillator and 889 tons of buffer shielding for the borexino solar neutrino detector was performed with a system that combined distillation water extraction gas stripping and filtration the purification of the scintillator achieved unprecedented low backgrounds for the large scale liquid scintillation detector this paper describes the principles of operation design construction and commissioning of the purification system and reviews the requirements and methods to achieve system cleanliness and leaktightness | [['purification', 'of', 'the', '278', 'tons', 'of', 'liquid', 'scintillator', 'and', '889', 'tons', 'of', 'buffer', 'shielding', 'for', 'the', 'borexino', 'solar', 'neutrino', 'detector', 'was', 'performed', 'with', 'a', 'system', 'that', 'combined', 'distillation', 'water', 'extraction', 'gas', 'stripping', 'and', 'filtration', 'the', 'purification', 'of', 'the', 'scintillator', 'achieved', 'unprecedented', 'low', 'backgrounds', 'for', 'the', 'large', 'scale', 'liquid', 'scintillation', 'detector', 'this', 'paper', 'describes', 'the', 'principles', 'of', 'operation', 'design', 'construction', 'and', 'commissioning', 'of', 'the', 'purification', 'system', 'and', 'reviews', 'the', 'requirements', 'and', 'methods', 'to', 'achieve', 'system', 'cleanliness', 'and', 'leaktightness']] | [-0.06913109729755793, 0.20025503338853778, -0.050626367924882, -0.030551760097487682, 0.06559596408930558, -0.15471785093694435, 0.053429648882133494, 0.30069967320090846, -0.17759517697911514, -0.38838781032245606, 0.13763309754798875, -0.34759386133794723, -0.017516502730646415, 0.16549233803648108, -0.10194139795279816, 0.1375701527699436, 0.12077450168956268, -0.06978102966738668, -0.13510745967045965, -0.24830266003693013, 0.19948187738191336, 0.20876676015751927, 0.33324448024167824, 0.05823162587751683, 0.251252007248695, -0.05879012493134819, -0.05605606857141921, -0.10759250965508584, -0.08713944411350608, 0.06812188992472856, 0.31083792357362416, 0.15512529236117475, 0.1116027907402512, -0.45084644358997283, -0.16765808895816967, 0.04472520646767838, 0.04177843469293102, 0.0229120150600609, -0.0854298192027368, -0.2937226818972512, 0.03952480696975008, -0.2861458811492316, -0.13529031825447946, -0.036233195164976154, -0.06634648205516369, -0.02032864582188746, -0.22362799008720016, -0.03052546966845464, 0.04765002969284787, 0.06309574114550885, -0.05452523684423221, -0.1614343581773267, 0.07853010468381016, 0.07197045150678605, 0.0033680409467610603, -0.01521377416793257, 0.2679647456925044, -0.1579215143176139, -0.010009453582920526, 0.36717596887855936, -0.07176148257291827, -0.08072403722785805, 0.17853179782947623, -0.163327142204109, -0.08485822364883988, 0.23066928724170124, 0.1668530055934465, 0.035325381561721624, -0.21882567443198672, -0.029372269570701878, 0.02328521016936161, 0.2505118025123681, 0.09331712911922582, 0.05271289530087655, 0.1780789679063386, 0.35564379781288535, 0.07785874895604425, 0.11242325367455028, -0.17001692667039797, 0.02955143512716811, -0.3278965656890681, -0.2536285816432179, -0.11571420187522706, 0.022968806715461573, -0.029386222937318962, -0.0920500440253435, 0.35970860975794494, 0.0867388135398199, 0.03989349137746582, -0.02720339223742485, 0.30501362813734695, -0.05150451380024223, 0.06680082880560995, -0.015453449793552098, 0.287140647064294, 0.12822131172900922, 0.15826641358925322, -0.2954219760814388, 0.07199996803568579, 0.04600401281526214] |
709.1504 | Maximum Entropy, Time Series and Statistical Inference | A brief discussion is given of the traditional version of the Maximum Entropy
Method, including a review of some of the criticism that has been made in
regard to its use in statistical inference. Motivated by these questions, a
modified version of the method is proposed and applied to a simple problem,
demonstrating its use in inference.
| physics.data-an | a brief discussion is given of the traditional version of the maximum entropy method including a review of some of the criticism that has been made in regard to its use in statistical inference motivated by these questions a modified version of the method is proposed and applied to a simple problem demonstrating its use in inference | [['a', 'brief', 'discussion', 'is', 'given', 'of', 'the', 'traditional', 'version', 'of', 'the', 'maximum', 'entropy', 'method', 'including', 'a', 'review', 'of', 'some', 'of', 'the', 'criticism', 'that', 'has', 'been', 'made', 'in', 'regard', 'to', 'its', 'use', 'in', 'statistical', 'inference', 'motivated', 'by', 'these', 'questions', 'a', 'modified', 'version', 'of', 'the', 'method', 'is', 'proposed', 'and', 'applied', 'to', 'a', 'simple', 'problem', 'demonstrating', 'its', 'use', 'in', 'inference']] | [-0.04207101840068374, -0.02193358274209395, -0.12050773250756033, 0.06682842587153509, -0.10164078236802628, -0.10611573201522492, 0.05311829663747758, 0.3420881673759013, -0.24751692500553632, -0.3031211283155962, 0.15217604904982932, -0.24347981454379725, -0.16524924994691423, 0.2292153714714866, -0.14670447761748442, 0.07172436038187395, 0.0808058633681452, 0.07894495191673438, -0.09723247956533573, -0.27579369876541915, 0.2834237711504102, 0.0930003834921017, 0.2876926221427295, 0.08575255704814927, 0.12028311446243733, -6.132599031716062e-05, -0.0796224200085067, 0.09532093740346138, -0.12195920148568755, 0.1761862944399023, 0.18138571825335947, 0.22076220481591136, 0.38165254093575895, -0.3810018770919557, -0.24458157354475638, 0.07371297460702951, 0.0976641197472386, 0.14255055004992245, -0.06762420263533529, -0.25881177203304934, 0.09181572714199622, -0.21748332705414086, -0.11075946704991031, -0.08219164181827453, -0.00911393686475461, -0.0097701462606589, -0.20462171834681117, 0.053007075375174746, 0.09484906701305718, 0.06888588282622789, 0.007104371719291075, -0.10353219311422947, 0.07100886458596378, 0.04938135545275975, 0.08095935456814211, 0.032574746528999846, 0.07354403845965862, -0.13126635267154166, -0.15753484624356293, 0.4003754040847222, -0.04942720659534659, -0.21563567959687166, 0.163777650001034, -0.04427634675072081, -0.18940362092434315, 0.05691833229604782, 0.13794713928119132, 0.13730794692150594, -0.17072268933253854, 0.08675722037993469, -0.029002872328355647, 0.12277052711630076, 0.015927762561069245, -0.03334142293029448, 0.19203147282333752, 0.21979766648687554, 0.02290318461069674, 0.190971509651526, -0.07078768785944894, -0.11116584016238912, -0.2754781034758739, -0.17373916679960594, -0.20332769692565003, 0.016016707853659204, -0.012734930904882372, -0.15382925040301001, 0.44086367123874654, 0.22303270136839465, 0.20040118029308424, 0.03127890083481345, 0.27399410343353164, 0.10772622303154908, 0.02388980656274055, 0.04673154366594788, 0.21659581078341017, 0.1931551838693977, 0.09662225205255182, -0.16572432439741597, 0.06754661108808298, 0.06976372773121846] |
709.1505 | The Higgs Decay Width in Multi-Scalar Doublet Models | We show that there are regions of parameter space in multi-scalar doublet
models where, in the first few hundred inverse femtobarns of data, the new
charged and neutral scalars are not directly observable at the LHC and yet the
Higgs decay rate to b bbar is changed significantly from its standard model
value. For a light Higgs with a mass less than 140 GeV, this can cause a large
change in the number of two photon and tau tau Higgs decay events expected at
the LHC compared to the minimal standard model. In the models we consider, the
principle of minimal flavor violation is used to suppress flavor changing
neutral currents. This paper emphasizes the importance of measuring the
properties of the Higgs boson at the LHC; for a range of parameters the model
considered has new physics at the TeV scale that is invisible, in the first few
hundred inverse femtobarns of integrated luminosity at the LHC, except
indirectly through the measurement of Higgs boson properties.
| hep-ph | we show that there are regions of parameter space in multiscalar doublet models where in the first few hundred inverse femtobarns of data the new charged and neutral scalars are not directly observable at the lhc and yet the higgs decay rate to b bbar is changed significantly from its standard model value for a light higgs with a mass less than 140 gev this can cause a large change in the number of two photon and tau tau higgs decay events expected at the lhc compared to the minimal standard model in the models we consider the principle of minimal flavor violation is used to suppress flavor changing neutral currents this paper emphasizes the importance of measuring the properties of the higgs boson at the lhc for a range of parameters the model considered has new physics at the tev scale that is invisible in the first few hundred inverse femtobarns of integrated luminosity at the lhc except indirectly through the measurement of higgs boson properties | [['we', 'show', 'that', 'there', 'are', 'regions', 'of', 'parameter', 'space', 'in', 'multiscalar', 'doublet', 'models', 'where', 'in', 'the', 'first', 'few', 'hundred', 'inverse', 'femtobarns', 'of', 'data', 'the', 'new', 'charged', 'and', 'neutral', 'scalars', 'are', 'not', 'directly', 'observable', 'at', 'the', 'lhc', 'and', 'yet', 'the', 'higgs', 'decay', 'rate', 'to', 'b', 'bbar', 'is', 'changed', 'significantly', 'from', 'its', 'standard', 'model', 'value', 'for', 'a', 'light', 'higgs', 'with', 'a', 'mass', 'less', 'than', '140', 'gev', 'this', 'can', 'cause', 'a', 'large', 'change', 'in', 'the', 'number', 'of', 'two', 'photon', 'and', 'tau', 'tau', 'higgs', 'decay', 'events', 'expected', 'at', 'the', 'lhc', 'compared', 'to', 'the', 'minimal', 'standard', 'model', 'in', 'the', 'models', 'we', 'consider', 'the', 'principle', 'of', 'minimal', 'flavor', 'violation', 'is', 'used', 'to', 'suppress', 'flavor', 'changing', 'neutral', 'currents', 'this', 'paper', 'emphasizes', 'the', 'importance', 'of', 'measuring', 'the', 'properties', 'of', 'the', 'higgs', 'boson', 'at', 'the', 'lhc', 'for', 'a', 'range', 'of', 'parameters', 'the', 'model', 'considered', 'has', 'new', 'physics', 'at', 'the', 'tev', 'scale', 'that', 'is', 'invisible', 'in', 'the', 'first', 'few', 'hundred', 'inverse', 'femtobarns', 'of', 'integrated', 'luminosity', 'at', 'the', 'lhc', 'except', 'indirectly', 'through', 'the', 'measurement', 'of', 'higgs', 'boson', 'properties']] | [-0.040484700952851754, 0.24388365874145024, -0.016602723410319604, 0.14691859732791893, -0.06681646325508367, -0.16343112074502347, 0.019922650003008278, 0.326540037437515, -0.2590050243237195, -0.3217453227607076, 0.04988836189996853, -0.2974738435496292, 0.029337757172252604, 0.1829719424964358, 0.05294689106124782, 0.07806554125464371, 0.07890252689245397, 0.02520406415161794, -0.06425921609736755, -0.23666208950540574, 0.28884561499301903, 0.05115278672516167, 0.19862884544198608, 0.08249936128191337, 0.08245114548324223, -0.014444125467677137, -0.029018808808735388, -0.0762645767551699, -0.0972554614286609, 0.08437636790275685, 0.1751950712347613, 0.09313726978527082, 0.1838693084992736, -0.32840937108894486, -0.1251452692734178, 0.2195269753877631, 0.15039522972091765, 0.07639001506732074, -0.05844587478772765, -0.2981425080382862, 0.14344992335470294, -0.19845591212656283, -0.09537081148832323, 0.02166246824122653, -0.004792563171086911, -0.11876519949908765, -0.31506289639593865, 0.10947770159133895, -0.06692023732571188, 0.06507838604843501, -0.002269612221621691, -0.15466554885350925, -0.05019981876882853, -0.0012488573159420205, 0.1550802323677226, 0.012579681763765654, 0.19377765178256584, -0.20906603701892282, -0.17046913707037709, 0.38052625771232707, -0.10733438675714627, -0.15900389580641633, 0.20336340016456778, -0.21002332509835503, -0.13649450495426438, 0.16051107948411725, 0.22945630340139844, 0.07995061340189712, -0.18478487317121314, 0.14793409655758732, -0.04517047981101417, 0.1857216250566866, 0.02474472406013551, 0.06934686500891418, 0.25227792387058634, 0.22070333649457327, 0.038025278982868095, 0.07846181325525224, -0.11506675635074115, -0.06022778695482694, -0.44206337325141104, -0.13300916489526005, -0.09044783787723787, 0.04162084396859188, -0.0613170427499056, -0.07271566810393093, 0.4427928578381811, 0.16042641538591262, 0.2850492910152959, -0.0005700839906484781, 0.26646717383476076, 0.11211514666754596, 0.11991520751230028, 0.04206262082753781, 0.3671712765726679, 0.11692846293734041, 0.15278853426692995, -0.2088320222376528, 0.03436441915555896, 0.05107551030424273] |
709.1506 | On the asymptotic of likelihood ratios for self-normalized large
deviations | Motivated by multiple statistical hypothesis testing, we obtain the limit of
likelihood ratio of large deviations for self-normalized random variables,
specifically, the ratio of $P(\sqrt{n}(\bar X +d/n) \ge x_n V)$ to
$P(\sqrt{n}\bar X \ge x_n V)$, as $n\toi$, where $\bar X$ and $V$ are the
sample mean and standard deviation of iid $X_1, ..., X_n$, respectively, $d>0$
is a constant and $x_n \toi$. We show that the limit can have a simple form
$e^{d/z_0}$, where $z_0$ is the unique maximizer of $z f(x)$ with $f$ the
density of $X_i$. The result is applied to derive the minimum sample size per
test in order to control the error rate of multiple testing at a target level,
when real signals are different from noise signals only by a small shift.
| math.ST math.PR stat.TH | motivated by multiple statistical hypothesis testing we obtain the limit of likelihood ratio of large deviations for selfnormalized random variables specifically the ratio of psqrtnbar x dn ge x_n v to psqrtnbar x ge x_n v as ntoi where bar x and v are the sample mean and standard deviation of iid x_1 x_n respectively d0 is a constant and x_n toi we show that the limit can have a simple form edz_0 where z_0 is the unique maximizer of z fx with f the density of x_i the result is applied to derive the minimum sample size per test in order to control the error rate of multiple testing at a target level when real signals are different from noise signals only by a small shift | [['motivated', 'by', 'multiple', 'statistical', 'hypothesis', 'testing', 'we', 'obtain', 'the', 'limit', 'of', 'likelihood', 'ratio', 'of', 'large', 'deviations', 'for', 'selfnormalized', 'random', 'variables', 'specifically', 'the', 'ratio', 'of', 'psqrtnbar', 'x', 'dn', 'ge', 'x_n', 'v', 'to', 'psqrtnbar', 'x', 'ge', 'x_n', 'v', 'as', 'ntoi', 'where', 'bar', 'x', 'and', 'v', 'are', 'the', 'sample', 'mean', 'and', 'standard', 'deviation', 'of', 'iid', 'x_1', 'x_n', 'respectively', 'd0', 'is', 'a', 'constant', 'and', 'x_n', 'toi', 'we', 'show', 'that', 'the', 'limit', 'can', 'have', 'a', 'simple', 'form', 'edz_0', 'where', 'z_0', 'is', 'the', 'unique', 'maximizer', 'of', 'z', 'fx', 'with', 'f', 'the', 'density', 'of', 'x_i', 'the', 'result', 'is', 'applied', 'to', 'derive', 'the', 'minimum', 'sample', 'size', 'per', 'test', 'in', 'order', 'to', 'control', 'the', 'error', 'rate', 'of', 'multiple', 'testing', 'at', 'a', 'target', 'level', 'when', 'real', 'signals', 'are', 'different', 'from', 'noise', 'signals', 'only', 'by', 'a', 'small', 'shift']] | [-0.15098235909486327, 0.10780101633683695, -0.0466980135136443, 0.017951853749364977, 0.020055883215755466, -0.1681368434877415, 0.08457803095849913, 0.34556133871542183, -0.31604435178829826, -0.25674561099187143, 0.07538769415218186, -0.31951354827534983, -0.05717357153137313, 0.15102020514243078, -0.05275267133171239, 0.04854702616367883, 0.01964850154160181, 0.08778850402592159, -0.06589464508792067, -0.27194245536698075, 0.2551595116643674, -0.025023453497910887, 0.23308276421791777, -0.07340346973832333, 0.1163110135698585, 0.016000716549503368, 0.013107372057904316, -0.0010071380548482018, -0.14320345730853232, 0.059520330533718434, 0.21822603899281381, 0.13545073515818856, 0.2940066575519438, -0.32604167447555565, -0.1307576357981387, 0.19916923696599234, 0.13011170272730532, -0.005527508240647432, -0.015400170159291446, -0.25548973092922894, 0.17110372237043409, -0.08530741975438304, -0.11367948934799288, -0.0038072859292955902, 0.10405635564186709, 0.08632841385234662, -0.42596026691721706, 0.10597610719903273, 0.05684300897854978, 0.05765784799303042, 0.04548419861982357, -0.2112462748470527, -0.031142421146264164, 0.10413902237887374, 0.059661817975433136, 0.09999300692939365, 0.12456971845529004, -0.07657508675115017, -0.04615001891629877, 0.3362767155759218, -0.11795954850059366, -0.19768996653336335, 0.10600317832900256, -0.22694612168744813, -0.12185070972806372, 0.13578270626542105, 0.1999236933462988, 0.12951787396493117, -0.14026099519779986, 0.16806611777482008, -0.05135205343490603, 0.18215882994719151, 0.06395675453576978, 0.015602832338280552, 0.16947072677099434, 0.12374939111712563, 0.06894814939525856, 0.08722184331637119, -0.15652902769227703, 0.005297064504820884, -0.3690252955965092, -0.1224435502208951, -0.22567237900168732, 0.1589224304458717, -0.17495943439286296, -0.11141622256548182, 0.273522520178505, 0.10769182264168815, 0.25199164495977566, 0.11541875962894864, 0.230904011173603, 0.13614078709473304, -0.029808222768616263, 0.05967168083482581, 0.14476227379835596, 0.16293415367391292, -0.004023934510059473, -0.16166422022998758, 0.08672498828708762, 0.022092038403999637] |
709.1507 | Surgery description of colored knots | The pair (K,r) consisting of a knot K and a surjective map r from the knot
group onto a dihedral group is said to be a p-colored knot. D. Moskovich
conjectured that for any odd prime p there are exactly p equivalence classes of
p-colored knots up to surgery along unknots in the kernel of the coloring. We
show that there are at most 2p equivalence classes. This is a vast improvement
upon the previous results by Moskovich for p=3, and 5, with no upper bound
given in general. T. Cochran, A. Gerges, and K. Orr, in "Dehn surgery
equivalence relations of 3-manifolds", define invariants of the surgery
equivalence class of a closed 3-manifold M in the context of bordisms. By
taking M to be 0-framed surgery of the 3-sphere along K we may define
Moskovich's colored untying invariant in the same way as the Cochran-Gerges-Orr
invariants. This bordism definition of the colored untying invariant will be
then used to establish the upper bound.
| math.GT | the pair kr consisting of a knot k and a surjective map r from the knot group onto a dihedral group is said to be a pcolored knot d moskovich conjectured that for any odd prime p there are exactly p equivalence classes of pcolored knots up to surgery along unknots in the kernel of the coloring we show that there are at most 2p equivalence classes this is a vast improvement upon the previous results by moskovich for p3 and 5 with no upper bound given in general t cochran a gerges and k orr in dehn surgery equivalence relations of 3manifolds define invariants of the surgery equivalence class of a closed 3manifold m in the context of bordisms by taking m to be 0framed surgery of the 3sphere along k we may define moskovichs colored untying invariant in the same way as the cochrangergesorr invariants this bordism definition of the colored untying invariant will be then used to establish the upper bound | [['the', 'pair', 'kr', 'consisting', 'of', 'a', 'knot', 'k', 'and', 'a', 'surjective', 'map', 'r', 'from', 'the', 'knot', 'group', 'onto', 'a', 'dihedral', 'group', 'is', 'said', 'to', 'be', 'a', 'pcolored', 'knot', 'd', 'moskovich', 'conjectured', 'that', 'for', 'any', 'odd', 'prime', 'p', 'there', 'are', 'exactly', 'p', 'equivalence', 'classes', 'of', 'pcolored', 'knots', 'up', 'to', 'surgery', 'along', 'unknots', 'in', 'the', 'kernel', 'of', 'the', 'coloring', 'we', 'show', 'that', 'there', 'are', 'at', 'most', '2p', 'equivalence', 'classes', 'this', 'is', 'a', 'vast', 'improvement', 'upon', 'the', 'previous', 'results', 'by', 'moskovich', 'for', 'p3', 'and', '5', 'with', 'no', 'upper', 'bound', 'given', 'in', 'general', 't', 'cochran', 'a', 'gerges', 'and', 'k', 'orr', 'in', 'dehn', 'surgery', 'equivalence', 'relations', 'of', '3manifolds', 'define', 'invariants', 'of', 'the', 'surgery', 'equivalence', 'class', 'of', 'a', 'closed', '3manifold', 'm', 'in', 'the', 'context', 'of', 'bordisms', 'by', 'taking', 'm', 'to', 'be', '0framed', 'surgery', 'of', 'the', '3sphere', 'along', 'k', 'we', 'may', 'define', 'moskovichs', 'colored', 'untying', 'invariant', 'in', 'the', 'same', 'way', 'as', 'the', 'cochrangergesorr', 'invariants', 'this', 'bordism', 'definition', 'of', 'the', 'colored', 'untying', 'invariant', 'will', 'be', 'then', 'used', 'to', 'establish', 'the', 'upper', 'bound']] | [-0.23732576567893196, 0.1384265000730231, -0.12512138892546487, 0.06472688821399478, -0.06475643991718104, -0.19261350410628567, 0.034960320686541826, 0.33707390167708895, -0.29447806736670884, -0.3326586429563582, 0.040777487470471795, -0.2542994459913035, -0.13803349512371169, 0.18444103356984676, -0.12211400205803336, -0.020292360458677265, 0.06444900555559879, 0.11184980499018339, -0.09247455080959258, -0.26312438841126146, 0.3443396326694282, -0.06522964970742584, 0.13303609423570714, 0.07662880932615632, 0.060954253601539096, -0.016006934343819404, -0.008315830808844725, 0.02239997736563918, -0.2120529756185956, 0.1021737379443114, 0.2973379294749848, 0.07001135228972906, 0.13302300128919683, -0.32802326085674727, -0.13938348155889874, 0.17989538930309046, 0.1312328339880629, -0.02895113668155376, -0.011916341221517628, -0.27509699779070296, 0.14525271750093813, -0.13791437759686997, -0.1230580875810212, -0.01703147604990347, 0.10411260298684619, -0.015038462723516355, -0.2018795452750982, -0.04886319643111935, 0.11814173988131865, 0.11164085449803632, -0.005630078747761762, -0.10300472314591122, -0.041463255007294524, 0.13776112576519514, 0.016796427147142638, 0.13260531203619613, 0.07681738045719114, -0.11698150260012098, -0.1420836600676701, 0.36812135862530604, -0.09498130705705873, -0.2147066531002901, 0.12934474662468312, -0.13972033239207024, -0.22000501305161482, 0.21007028518535292, 0.05186871266300986, 0.1317590785859402, -0.04999749598056812, 0.14842268746163825, -0.1549071950695602, 0.08465356306487302, 0.11998350713639312, -0.048857669724569695, 0.1485803334611901, 0.044516531077278834, 0.10076159228137724, 0.1763076416630547, -0.004178221293007303, 0.024239489933250435, -0.3416347144361419, -0.2592921401440777, -0.13176135492813626, 0.14198870195823302, -0.10649887519522651, -0.11413355996820387, 0.3583641980602673, 0.018891215669198828, 0.17381598137224177, 0.14120338133619328, 0.22889082051611914, 0.04209245740996591, 0.09539419838233264, 0.10426794008572829, 0.1284522276733569, 0.18077941404679304, -0.07405534728910702, -0.13174086898286488, -0.002427257208901036, 0.21143017261389904] |
709.1508 | The Bizarre Spectral Variability of Central Stars of Planetary Nebulae | A radial velocity (RV) survey to detect central stars in binary systems was
carried out between 2002 and 2004. De Marco et al. (2004) reported that 10 out
of 11 monitored stars exhibited strong RV variability, but periods were not
detected. Since other mechanisms, such as wind variability, can cause apparent
RV variations, we monitored 4 of the 10 RV-variable stars at echelle
resolutions to determine the origin of the variability. Although RV changes are
confirmed for all four stars, none of them can be ascribed to binarity at this
time. However, only for IC4593 is wind variability able to explain most (though
not all) spectral variability. For BD+332642, no wind and no pulsations appear
to be the origin of the RV changes. Finally, M1-77 and M2-54, both known to be
irregular photometric variables, exhibit dramatic RV and line shape variability
of the hydrogen and HeI absorption lines, as well as large RV variability of
weaker lines, which do not change in shape. There is no satisfactory
explanation of this variability, though a combination of wind variability and
pulsations is still the best guess at what makes these stars so variable. We
suggest that luminous central stars are ill suited to detect spectroscopic
binaries, because winds (and possibly pulsations) are pervasive and would mask
even strong periodicities. It it likely that a sample of intrinsically faint
central stars would more readily yield binary information.
| astro-ph | a radial velocity rv survey to detect central stars in binary systems was carried out between 2002 and 2004 de marco et al 2004 reported that 10 out of 11 monitored stars exhibited strong rv variability but periods were not detected since other mechanisms such as wind variability can cause apparent rv variations we monitored 4 of the 10 rvvariable stars at echelle resolutions to determine the origin of the variability although rv changes are confirmed for all four stars none of them can be ascribed to binarity at this time however only for ic4593 is wind variability able to explain most though not all spectral variability for bd332642 no wind and no pulsations appear to be the origin of the rv changes finally m177 and m254 both known to be irregular photometric variables exhibit dramatic rv and line shape variability of the hydrogen and hei absorption lines as well as large rv variability of weaker lines which do not change in shape there is no satisfactory explanation of this variability though a combination of wind variability and pulsations is still the best guess at what makes these stars so variable we suggest that luminous central stars are ill suited to detect spectroscopic binaries because winds and possibly pulsations are pervasive and would mask even strong periodicities it it likely that a sample of intrinsically faint central stars would more readily yield binary information | [['a', 'radial', 'velocity', 'rv', 'survey', 'to', 'detect', 'central', 'stars', 'in', 'binary', 'systems', 'was', 'carried', 'out', 'between', '2002', 'and', '2004', 'de', 'marco', 'et', 'al', '2004', 'reported', 'that', '10', 'out', 'of', '11', 'monitored', 'stars', 'exhibited', 'strong', 'rv', 'variability', 'but', 'periods', 'were', 'not', 'detected', 'since', 'other', 'mechanisms', 'such', 'as', 'wind', 'variability', 'can', 'cause', 'apparent', 'rv', 'variations', 'we', 'monitored', '4', 'of', 'the', '10', 'rvvariable', 'stars', 'at', 'echelle', 'resolutions', 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709.1509 | On well-posedness of the linear Cauchy problem with the distributional
right-hand side and discontinuous coefficients | We prove the well-posedness of the Cauchy problem for the linear differential
system of the form $x^{\prime}-A(t)x=f$, where $f$ is a distribution and $A$
possesses at most first-kind discontinuities together with all its derivatives
defined almost everywhere. The left-hand side of this system contains the
product of a distribution and, in general, a discontinuous function, which is
undefined in the classical space of the distributions with the smooth test
functions $\mathcal D'$, so the Cauchy problem has no solution in $\mathcal
D'$. In what follows, we cosider this system in the space of distributions with
the discontinuous test functions, whose elements admit continuous and
associative multiplication by functions possessing at most first-kind
discontinuities (together with all their derivatives defined almost
everywhere), and show that there exists the unique solution of the Cauchy
problem which depends continuously on $f$.
| math.FA math.CA | we prove the wellposedness of the cauchy problem for the linear differential system of the form xprimeatxf where f is a distribution and a possesses at most firstkind discontinuities together with all its derivatives defined almost everywhere the lefthand side of this system contains the product of a distribution and in general a discontinuous function which is undefined in the classical space of the distributions with the smooth test functions mathcal d so the cauchy problem has no solution in mathcal d in what follows we cosider this system in the space of distributions with the discontinuous test functions whose elements admit continuous and associative multiplication by functions possessing at most firstkind discontinuities together with all their derivatives defined almost everywhere and show that there exists the unique solution of the cauchy problem which depends continuously on f | [['we', 'prove', 'the', 'wellposedness', 'of', 'the', 'cauchy', 'problem', 'for', 'the', 'linear', 'differential', 'system', 'of', 'the', 'form', 'xprimeatxf', 'where', 'f', 'is', 'a', 'distribution', 'and', 'a', 'possesses', 'at', 'most', 'firstkind', 'discontinuities', 'together', 'with', 'all', 'its', 'derivatives', 'defined', 'almost', 'everywhere', 'the', 'lefthand', 'side', 'of', 'this', 'system', 'contains', 'the', 'product', 'of', 'a', 'distribution', 'and', 'in', 'general', 'a', 'discontinuous', 'function', 'which', 'is', 'undefined', 'in', 'the', 'classical', 'space', 'of', 'the', 'distributions', 'with', 'the', 'smooth', 'test', 'functions', 'mathcal', 'd', 'so', 'the', 'cauchy', 'problem', 'has', 'no', 'solution', 'in', 'mathcal', 'd', 'in', 'what', 'follows', 'we', 'cosider', 'this', 'system', 'in', 'the', 'space', 'of', 'distributions', 'with', 'the', 'discontinuous', 'test', 'functions', 'whose', 'elements', 'admit', 'continuous', 'and', 'associative', 'multiplication', 'by', 'functions', 'possessing', 'at', 'most', 'firstkind', 'discontinuities', 'together', 'with', 'all', 'their', 'derivatives', 'defined', 'almost', 'everywhere', 'and', 'show', 'that', 'there', 'exists', 'the', 'unique', 'solution', 'of', 'the', 'cauchy', 'problem', 'which', 'depends', 'continuously', 'on', 'f']] | [-0.1636827082040101, 0.05671916174129617, -0.09529530705652968, 0.011513735963045245, -0.03720645436228518, -0.11614517952879741, -0.032997300080618526, 0.3222958013741639, -0.3242780437342904, -0.20077019698074916, 0.1293820247124629, -0.3144163102654861, -0.13556419482223525, 0.15467440743461577, -0.04515188875655732, 0.0816764080855336, 0.019178049258180778, 0.0939860687451777, -0.13159628480037225, -0.2301511493576079, 0.39616401676754776, -0.050798140002251434, 0.21525896924044802, 0.02219306711569755, 0.1678998870979043, 0.0012688411036030436, -0.00467356895674428, 0.004162832757672227, -0.11097891172284752, 0.0796834631478006, 0.23151005856373286, 0.12801536321334106, 0.2825625752758262, -0.38257598547251337, -0.15799694611643353, 0.1628152215989293, 0.10487198317763362, -0.016513303882462808, -0.030504180307935135, -0.22430675215067436, 0.09393350132927979, -0.11179141056159661, -0.17068188383250776, -0.029022190889792285, 0.07944546521294617, 0.0706623465410794, -0.2924220692026463, 0.06690821196394463, 0.07414800611861648, 0.0441582058794307, -0.10924185403830025, -0.09739761570142243, -0.06496981577947736, 0.08642431497437893, 0.03142259171722035, 0.07769750439762443, 0.02529032238126889, -0.11676495613502237, -0.04743716039484108, 0.37264219446474833, -0.08777105033798754, -0.2828852751761349, 0.15261413978351565, -0.22246536309023585, -0.11775763833684588, 0.12871849235065663, 0.10992416154837957, 0.18251031261263756, -0.09293721554406585, 0.18707691389815814, -0.08792053896553108, 0.12982421788475373, 0.08265094904324216, 0.01561978038691025, 0.13698485207125327, 0.09876688414790334, 0.13965803308303665, 0.13578008645193745, 0.010296028598558403, -0.08797197448375234, -0.37906168058623363, -0.16840517835650784, -0.18308095122096094, 0.060053356549274316, -0.0930800866229412, -0.2676881829235893, 0.3764877268062211, 0.07086593088019218, 0.20873361378636238, 0.0861926784273237, 0.22159630131149788, 0.18253082815340183, 0.06031416623214137, 0.13551575395475773, 0.1665584118968814, 0.11028812652671316, 0.0884798110231594, -0.1592900571736242, 0.09746598192307092, 0.08889330517888124] |
709.151 | The Most Dark Matter Dominated Galaxies: Predicted Gamma-ray Signals
from the Faintest Milky Way Dwarfs | We use kinematic data from three new, nearby, extremely low-luminosity Milky
Way dwarf galaxies (Ursa Major II, Willman 1, and Coma Berenices) to constrain
the properties of their dark matter halos, and from these make predictions for
the gamma-ray flux from annihilation of dark matter particles in these halos.
We show that these 10^3 solar luminosity dwarfs are the most dark matter
dominated galaxies in the Universe, with total masses within 100 pc in excess
of 10^6 solar masses. Coupled with their relative proximity, their large masses
imply that they should have mean gamma-ray fluxes comparable to or greater than
any other known satellite galaxy of the Milky Way. Our results are robust to
both variations of the inner slope of the density profile and the effect of
tidal interactions. The fluxes could be boosted by up to two orders of
magnitude if we include the density enhancements caused by surviving dark
matter substructure.
| astro-ph | we use kinematic data from three new nearby extremely lowluminosity milky way dwarf galaxies ursa major ii willman 1 and coma berenices to constrain the properties of their dark matter halos and from these make predictions for the gammaray flux from annihilation of dark matter particles in these halos we show that these 103 solar luminosity dwarfs are the most dark matter dominated galaxies in the universe with total masses within 100 pc in excess of 106 solar masses coupled with their relative proximity their large masses imply that they should have mean gammaray fluxes comparable to or greater than any other known satellite galaxy of the milky way our results are robust to both variations of the inner slope of the density profile and the effect of tidal interactions the fluxes could be boosted by up to two orders of magnitude if we include the density enhancements caused by surviving dark matter substructure | [['we', 'use', 'kinematic', 'data', 'from', 'three', 'new', 'nearby', 'extremely', 'lowluminosity', 'milky', 'way', 'dwarf', 'galaxies', 'ursa', 'major', 'ii', 'willman', '1', 'and', 'coma', 'berenices', 'to', 'constrain', 'the', 'properties', 'of', 'their', 'dark', 'matter', 'halos', 'and', 'from', 'these', 'make', 'predictions', 'for', 'the', 'gammaray', 'flux', 'from', 'annihilation', 'of', 'dark', 'matter', 'particles', 'in', 'these', 'halos', 'we', 'show', 'that', 'these', '103', 'solar', 'luminosity', 'dwarfs', 'are', 'the', 'most', 'dark', 'matter', 'dominated', 'galaxies', 'in', 'the', 'universe', 'with', 'total', 'masses', 'within', '100', 'pc', 'in', 'excess', 'of', '106', 'solar', 'masses', 'coupled', 'with', 'their', 'relative', 'proximity', 'their', 'large', 'masses', 'imply', 'that', 'they', 'should', 'have', 'mean', 'gammaray', 'fluxes', 'comparable', 'to', 'or', 'greater', 'than', 'any', 'other', 'known', 'satellite', 'galaxy', 'of', 'the', 'milky', 'way', 'our', 'results', 'are', 'robust', 'to', 'both', 'variations', 'of', 'the', 'inner', 'slope', 'of', 'the', 'density', 'profile', 'and', 'the', 'effect', 'of', 'tidal', 'interactions', 'the', 'fluxes', 'could', 'be', 'boosted', 'by', 'up', 'to', 'two', 'orders', 'of', 'magnitude', 'if', 'we', 'include', 'the', 'density', 'enhancements', 'caused', 'by', 'surviving', 'dark', 'matter', 'substructure']] | [-0.06393962887012969, 0.16306690032315718, -0.07954490177715863, 0.16161877134597147, -0.10888642121058006, -0.010022703113711694, -0.005625180697503996, 0.39418446534470497, -0.14835294631578924, -0.46202559944532523, -0.014000113263526666, -0.3240977516155932, 0.019104807693571722, 0.20632297933999716, -0.004454192398539321, -0.024389035602904518, 0.02706722521703908, -0.05459774439162635, -0.05412645167792095, -0.29385357701775994, 0.3094769683817716, 0.04445324628916267, 0.12294817998606179, -0.040784964238916366, 0.02556277609009949, -0.12436713314730094, -0.09391215334150504, -0.039981765571268056, -0.14835896164032572, 0.051832174374298615, 0.20472866857376, 0.0973156872719478, 0.16908715960309634, -0.42096085787762877, -0.18981743966192974, 0.154692958481761, 0.2079461381359437, 0.018110600269895482, -0.10481777402282051, -0.32585611030181216, 0.10825716389411934, -0.227226187242195, -0.17215796450588416, 0.052994214678667, 0.024247397641445716, 0.04007744145059547, -0.17407005614080986, 0.18361078643590792, -0.010756382170386911, -0.016497486772910727, -0.09488900506705675, -0.13881586587688485, -0.06210462571357607, 0.03311409411480191, 0.08593073202139855, 0.018257933280237212, 0.27296146886973555, -0.18346992505006735, -0.034236701940150036, 0.44697578679528327, -0.10752817372651241, -0.007983641825955023, 0.24677770814023814, -0.2042755089403892, -0.16431813036974569, 0.1370102989218234, 0.15100543139284694, 0.06808573985774699, -0.16255829840378425, 0.020389115352065654, -0.003593163227650349, 0.17729368120093236, 0.035843517590471385, 0.0824344221415798, 0.37391760815902575, 0.10316470497614377, 0.09121158699861837, -0.006518051447422401, -0.22646540787687838, -0.019934773320398693, -0.2561231323777904, -0.09911008466295172, -0.10415465019752163, 0.05795327517772456, -0.14544797199031764, -0.07474901218665764, 0.32587258267071245, 0.1418816012024385, 0.244309520530333, 0.05907036726931473, 0.3203015891931854, 0.038544423634023106, 0.13074191443337876, 0.13874095989173496, 0.36476489652383637, 0.17232889122958597, 0.02276154322090087, -0.2316355868416548, 0.03475908161890874, -0.05458700665962193] |
709.1511 | Competition between attractive and repulsive interactions in
two-component Bose-Einstein condensates trapped in an optical lattice | We consider effects of inter-species attraction on two-component gap solitons
(GSs) in the binary BEC with intra-species repulsion, trapped in the
one-dimensional optical lattice (OL). Systematic simulations of the coupled
Gross-Pitaevskii equations (GPEs) corroborate an assumption that, because the
effective mass of GSs is negative, the inter-species attraction may
\emph{split} the two-component soliton. Two critical values, $\kappa_{1} $ and
$\kappa_{2}$, of the OL strength ($\kappa $) are identified. Two-species GSs
with fully overlapping wave functions are stable in strong lattices ($\kappa
>\kappa_{1}$). In an intermediate region, $\kappa_{1}>\kappa >\kappa_{2}$, the
soliton splits into a double-humped state with separated components. Finally,
in weak lattices ($\kappa <\kappa_{2}$%), the splitting generates a pair of
freely moving single-species GSs. We present and explain the dependence of
$\kappa_{1}$ and $\kappa_{2}$ on thenumber of atoms (total norm), and on the
relative strength of the competing inter-species attraction and intra-species
repulsion. The splitting of asymmetric solitons, with unequal norms of the two
species, is briefly considered too. It is found and explained that the
splitting threshold grows with the increase of the asymmetry.
| cond-mat.other | we consider effects of interspecies attraction on twocomponent gap solitons gss in the binary bec with intraspecies repulsion trapped in the onedimensional optical lattice ol systematic simulations of the coupled grosspitaevskii equations gpes corroborate an assumption that because the effective mass of gss is negative the interspecies attraction may emphsplit the twocomponent soliton two critical values kappa_1 and kappa_2 of the ol strength kappa are identified twospecies gss with fully overlapping wave functions are stable in strong lattices kappa kappa_1 in an intermediate region kappa_1kappa kappa_2 the soliton splits into a doublehumped state with separated components finally in weak lattices kappa kappa_2 the splitting generates a pair of freely moving singlespecies gss we present and explain the dependence of kappa_1 and kappa_2 on thenumber of atoms total norm and on the relative strength of the competing interspecies attraction and intraspecies repulsion the splitting of asymmetric solitons with unequal norms of the two species is briefly considered too it is found and explained that the splitting threshold grows with the increase of the asymmetry | [['we', 'consider', 'effects', 'of', 'interspecies', 'attraction', 'on', 'twocomponent', 'gap', 'solitons', 'gss', 'in', 'the', 'binary', 'bec', 'with', 'intraspecies', 'repulsion', 'trapped', 'in', 'the', 'onedimensional', 'optical', 'lattice', 'ol', 'systematic', 'simulations', 'of', 'the', 'coupled', 'grosspitaevskii', 'equations', 'gpes', 'corroborate', 'an', 'assumption', 'that', 'because', 'the', 'effective', 'mass', 'of', 'gss', 'is', 'negative', 'the', 'interspecies', 'attraction', 'may', 'emphsplit', 'the', 'twocomponent', 'soliton', 'two', 'critical', 'values', 'kappa_1', 'and', 'kappa_2', 'of', 'the', 'ol', 'strength', 'kappa', 'are', 'identified', 'twospecies', 'gss', 'with', 'fully', 'overlapping', 'wave', 'functions', 'are', 'stable', 'in', 'strong', 'lattices', 'kappa', 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709.1512 | The effect of the motion of the Sun on the light-time in interplanetary
relativistic experiments | In 2002 a measurement of the effect of solar gravity upon the phase of
coherent microwave beams passing near the Sun has been carried out with the
Cassini mission, allowing a very accurate measurement of the PPN parameter
$\gamma$. The data have been analyzed with NASA's Orbit Determination Program
(ODP) in the Barycentric Celestial Reference System, in which the Sun moves
around the centre of mass of the solar system with a velocity $v_\odot$ of
about 10 m/sec; the question arises, what correction this implies for the
predicted phase shift. After a review of the way the ODP works, we set the
problem in the framework of Lorentz (and Galilean) transformations and evaluate
the correction; it is several orders of magnitude below our experimental
accuracy. We also discuss a recent paper \cite{kopeikin07}, which claims wrong
and much larger corrections, and clarify the reasons for the discrepancy.
| gr-qc physics.gen-ph | in 2002 a measurement of the effect of solar gravity upon the phase of coherent microwave beams passing near the sun has been carried out with the cassini mission allowing a very accurate measurement of the ppn parameter gamma the data have been analyzed with nasas orbit determination program odp in the barycentric celestial reference system in which the sun moves around the centre of mass of the solar system with a velocity v_odot of about 10 msec the question arises what correction this implies for the predicted phase shift after a review of the way the odp works we set the problem in the framework of lorentz and galilean transformations and evaluate the correction it is several orders of magnitude below our experimental accuracy we also discuss a recent paper citekopeikin07 which claims wrong and much larger corrections and clarify the reasons for the discrepancy | [['in', '2002', 'a', 'measurement', 'of', 'the', 'effect', 'of', 'solar', 'gravity', 'upon', 'the', 'phase', 'of', 'coherent', 'microwave', 'beams', 'passing', 'near', 'the', 'sun', 'has', 'been', 'carried', 'out', 'with', 'the', 'cassini', 'mission', 'allowing', 'a', 'very', 'accurate', 'measurement', 'of', 'the', 'ppn', 'parameter', 'gamma', 'the', 'data', 'have', 'been', 'analyzed', 'with', 'nasas', 'orbit', 'determination', 'program', 'odp', 'in', 'the', 'barycentric', 'celestial', 'reference', 'system', 'in', 'which', 'the', 'sun', 'moves', 'around', 'the', 'centre', 'of', 'mass', 'of', 'the', 'solar', 'system', 'with', 'a', 'velocity', 'v_odot', 'of', 'about', '10', 'msec', 'the', 'question', 'arises', 'what', 'correction', 'this', 'implies', 'for', 'the', 'predicted', 'phase', 'shift', 'after', 'a', 'review', 'of', 'the', 'way', 'the', 'odp', 'works', 'we', 'set', 'the', 'problem', 'in', 'the', 'framework', 'of', 'lorentz', 'and', 'galilean', 'transformations', 'and', 'evaluate', 'the', 'correction', 'it', 'is', 'several', 'orders', 'of', 'magnitude', 'below', 'our', 'experimental', 'accuracy', 'we', 'also', 'discuss', 'a', 'recent', 'paper', 'citekopeikin07', 'which', 'claims', 'wrong', 'and', 'much', 'larger', 'corrections', 'and', 'clarify', 'the', 'reasons', 'for', 'the', 'discrepancy']] | [-0.12190430743362883, 0.11862841027885161, -0.10151784209281624, 0.047670769347038504, -0.04613958241353775, -0.05271898843026881, 0.07369880402733668, 0.324947017816634, -0.22540691951289774, -0.36997271801890996, 0.09961359359580894, -0.2721095444763015, -0.09934291836548725, 0.21204363266367401, -0.07000133822639955, 0.06079367864796699, 0.07306552188278272, 0.042707364797463704, -0.11677304155450186, -0.2214982139380199, 0.27828306047053175, 0.12094589865862809, 0.20990119015091452, 0.011114578543166663, 0.10683478306224249, -0.025402196031063796, -0.0712241643365344, 0.008851339928163537, -0.1395912946314262, 0.08938672503311958, 0.1774561884893297, 0.12092915482835137, 0.231674317598086, -0.37271138870735365, -0.21320818497574534, 0.07107903587407079, 0.09962073466278902, 0.10574863633173036, -0.027073919178982234, -0.29998356867581605, 0.022276425794377153, -0.1915461628216094, -0.1768564396280924, -0.0032280172799424877, 0.07121427472809265, -0.04734563920004614, -0.2200285211534657, 0.034799729093130484, 0.06186355856761079, 0.08611520061526319, -0.07660187312626633, -0.10911178249576739, 0.0011205633636564016, 0.12223357210449617, 0.08500153040673969, 0.08331463777877647, 0.12649621306436842, -0.09933917525757288, -0.08210547754203837, 0.44013383041681914, -0.04469916852319549, -0.09788479803065801, 0.12902277351722347, -0.21261717677758685, -0.13270694560628257, 0.1321558990258852, 0.13616144124675414, 0.12080946330107539, -0.1369212544651638, 0.0836806114570334, -0.034763788831709275, 0.15605797239675603, 0.10076953543285871, 0.01224693082080319, 0.2418745129529772, 0.14934796895831823, 0.05243157194325187, 0.08853435495804096, -0.16424232677974063, -0.07986679163215489, -0.294108790942821, -0.1418428718906241, -0.1106608761747464, 0.014790885374431724, -0.06991155545411888, -0.09254968486854742, 0.3870401044922142, 0.20584668381268095, 0.1806921350175579, -0.008575545649590163, 0.3143995862743207, 0.09263448156105306, 0.07335491072193816, 0.04372532150772368, 0.35340441773677694, 0.1300282193925874, 0.12038797379856736, -0.2276942940155879, 0.04361604129462021, 0.05320901407474845] |
709.1513 | CMB Polarization Systematics Due to Beam Asymmetry: Impact on
Inflationary Science | CMB polarization provides a unique window into cosmological inflation; the
amplitude of the B-mode polarization from last scattering is uniquely sensitive
to the energetics of inflation. However, numerous systematic effects arising
from optical imperfections can contaminate the observed B-mode power spectrum.
In particular, systematic effects due to the coupling of the underlying
temperature and polarization fields with elliptical or otherwise asymmetric
beams yield spurious systematic signals. This paper presents a non-perturbative
analytic calculation of some of these signals. We show that results previously
derived in real space can be generalized, formally, by including infinitely
many higher-order corrections to the leading order effects. These corrections
can be summed and represented as analytic functions when a fully Fourier-space
approach is adopted from the outset. The formalism and results presented in
this paper were created to determine the susceptibility of CMB polarization
probes of the primary gravitational wave signal but can be easily extended to
the analysis of gravitational lensing of the CMB.
| astro-ph | cmb polarization provides a unique window into cosmological inflation the amplitude of the bmode polarization from last scattering is uniquely sensitive to the energetics of inflation however numerous systematic effects arising from optical imperfections can contaminate the observed bmode power spectrum in particular systematic effects due to the coupling of the underlying temperature and polarization fields with elliptical or otherwise asymmetric beams yield spurious systematic signals this paper presents a nonperturbative analytic calculation of some of these signals we show that results previously derived in real space can be generalized formally by including infinitely many higherorder corrections to the leading order effects these corrections can be summed and represented as analytic functions when a fully fourierspace approach is adopted from the outset the formalism and results presented in this paper were created to determine the susceptibility of cmb polarization probes of the primary gravitational wave signal but can be easily extended to the analysis of gravitational lensing of the cmb | [['cmb', 'polarization', 'provides', 'a', 'unique', 'window', 'into', 'cosmological', 'inflation', 'the', 'amplitude', 'of', 'the', 'bmode', 'polarization', 'from', 'last', 'scattering', 'is', 'uniquely', 'sensitive', 'to', 'the', 'energetics', 'of', 'inflation', 'however', 'numerous', 'systematic', 'effects', 'arising', 'from', 'optical', 'imperfections', 'can', 'contaminate', 'the', 'observed', 'bmode', 'power', 'spectrum', 'in', 'particular', 'systematic', 'effects', 'due', 'to', 'the', 'coupling', 'of', 'the', 'underlying', 'temperature', 'and', 'polarization', 'fields', 'with', 'elliptical', 'or', 'otherwise', 'asymmetric', 'beams', 'yield', 'spurious', 'systematic', 'signals', 'this', 'paper', 'presents', 'a', 'nonperturbative', 'analytic', 'calculation', 'of', 'some', 'of', 'these', 'signals', 'we', 'show', 'that', 'results', 'previously', 'derived', 'in', 'real', 'space', 'can', 'be', 'generalized', 'formally', 'by', 'including', 'infinitely', 'many', 'higherorder', 'corrections', 'to', 'the', 'leading', 'order', 'effects', 'these', 'corrections', 'can', 'be', 'summed', 'and', 'represented', 'as', 'analytic', 'functions', 'when', 'a', 'fully', 'fourierspace', 'approach', 'is', 'adopted', 'from', 'the', 'outset', 'the', 'formalism', 'and', 'results', 'presented', 'in', 'this', 'paper', 'were', 'created', 'to', 'determine', 'the', 'susceptibility', 'of', 'cmb', 'polarization', 'probes', 'of', 'the', 'primary', 'gravitational', 'wave', 'signal', 'but', 'can', 'be', 'easily', 'extended', 'to', 'the', 'analysis', 'of', 'gravitational', 'lensing', 'of', 'the', 'cmb']] | [-0.12195108082669322, 0.13004642002633773, -0.12782252493780105, 0.09959184428444132, -0.10685265695210547, -0.0642982571182074, -0.03045286295819096, 0.33991004872368646, -0.2852144916076213, -0.29104545270092785, 0.07302635258565715, -0.2822222085669637, -0.13818098154879407, 0.21924271043244517, 0.015535508681205101, 0.04800419631937984, 0.021651949793158563, -0.046269645646680145, -0.04451855422521476, -0.2175420694584318, 0.30961947162868453, 0.11256581350244232, 0.2370155239797896, 0.05618308993580286, 0.04317020486923866, -0.008015180952497758, -0.09677406402479391, 0.06083152020273701, -0.08909430255466759, 0.07757013844093308, 0.25495476849173426, 0.1017174924549181, 0.15531719296400298, -0.4157619555247948, -0.23540187762118875, 0.14461683738336434, 0.13946984232170506, 0.1976909888573573, -0.029854815293219872, -0.30260797216324137, 0.03831919216536335, -0.15697645909385755, -0.12351116588688456, -0.1083913526876131, -0.031144253228558228, 0.0027847267840115817, -0.2917164529266302, 0.11151459858956514, 0.021275168084684992, -0.0013310720794834196, -0.027299732257961295, -0.10346524465130642, -0.03443155889253831, 0.0907859608758372, 0.0854147455014754, 0.05117846688663121, 0.13846707607444841, -0.09634842514642514, -0.08953833163250238, 0.40638507923576983, -0.08406509102715062, -0.15188303374088719, 0.09621657567477086, -0.21159376995929052, -0.12912263062899001, 0.1607428509509191, 0.19583128090698665, 0.06220468992796668, -0.16915853994041755, 0.09094062664553348, 0.07024121329022819, 0.1805459868046455, 0.09077203725209984, 0.08366621470777318, 0.29713645033771174, 0.06216241223446559, 0.013491847659679479, 0.14409154670829594, -0.11459781021806066, -0.007604985358193516, -0.3337112183646241, -0.03143381286265594, -0.15233686041028704, 0.07865494163515904, -0.09123710800749904, -0.1685180420288816, 0.42594214804412334, 0.16567709953233134, 0.16366343014815357, 0.02254416069627041, 0.3579905467602657, 0.12633027004849282, 0.07428857103077462, 0.002295914964633994, 0.3318178787661964, 0.14807913544354961, 0.0759796049191209, -0.22249906991637544, 0.03672892657050397, -0.03272748680028599] |
709.1514 | On differentiability of the Parisi formula | It was proved by Michel Talagrand in [10] that the Parisi formula for the
free energy in the Sherrington-Kirkpatrick model is differentiable with respect
to inverse temperature parameter. We present a simpler proof of this result by
using approximate solutions in the Parisi formula and give one example of
application of the differentiability to prove non self-averaging of the overlap
outside of the replica symmetric region.
| math.PR math-ph math.MP | it was proved by michel talagrand in 10 that the parisi formula for the free energy in the sherringtonkirkpatrick model is differentiable with respect to inverse temperature parameter we present a simpler proof of this result by using approximate solutions in the parisi formula and give one example of application of the differentiability to prove non selfaveraging of the overlap outside of the replica symmetric region | [['it', 'was', 'proved', 'by', 'michel', 'talagrand', 'in', '10', 'that', 'the', 'parisi', 'formula', 'for', 'the', 'free', 'energy', 'in', 'the', 'sherringtonkirkpatrick', 'model', 'is', 'differentiable', 'with', 'respect', 'to', 'inverse', 'temperature', 'parameter', 'we', 'present', 'a', 'simpler', 'proof', 'of', 'this', 'result', 'by', 'using', 'approximate', 'solutions', 'in', 'the', 'parisi', 'formula', 'and', 'give', 'one', 'example', 'of', 'application', 'of', 'the', 'differentiability', 'to', 'prove', 'non', 'selfaveraging', 'of', 'the', 'overlap', 'outside', 'of', 'the', 'replica', 'symmetric', 'region']] | [-0.0783998087739967, 0.07812281847211787, -0.11132796258298737, 0.11620845937762748, -0.05548345004067277, -0.10275568119532456, 0.05477171838212984, 0.2919808296825398, -0.21888934038438354, -0.3035953732068072, 0.1136128181806822, -0.24827920329566536, -0.1069059677485546, 0.16976215046562368, -0.055764586513484544, 0.06152261222120036, -0.024949958865446122, 0.05309477759609846, -0.09530615785060394, -0.2027523876873381, 0.32165813089037937, 0.033910929476736455, 0.26398919083911815, 0.11485701587022931, 0.10668467373982297, 0.05294064290214782, 0.014451112061964743, -0.032675243956460195, -0.20393474929611935, 0.09934536484775669, 0.25366401374269504, 0.08417361660042044, 0.26227606559228717, -0.3419175381687554, -0.1806708427470629, 0.1315467661938094, 0.08794461240794396, 0.08974580246985804, -0.031915981636495526, -0.2823628844608637, 0.09259386051615531, -0.20557268947419344, -0.24527922010218556, -0.06746146789836613, 0.019298203303619768, 0.02801664705938575, -0.26993531378155405, 0.13640871968571888, 0.12413576763179718, 0.06639825187228394, -0.087606859485139, -0.08380478620881948, -0.012013870757073164, 0.009996638202926877, 0.10260012197117745, 0.04086301822892644, 0.04955878212455322, -0.06125268316474941, -0.0830946802937736, 0.29329088622365485, -0.06659022947265343, -0.20712672543683738, 0.1289051372670766, -0.1284038579006764, -0.10338016307320107, 0.12437590033831922, 0.055185937682505355, 0.13718117930869939, -0.14527168879849892, 0.20382160116886636, -0.08008180906516359, 0.09679213891451416, 0.09684297323904255, -0.05951210415470555, 0.06535129400435835, 0.11422916120059337, 0.12949657795781438, 0.24761936253388273, -0.013069767674261873, -0.15255855816190667, -0.32851000691792276, -0.18809057165741583, -0.2753486154657422, 0.07259553255668531, -0.12017493295658796, -0.16963671136534575, 0.3893970781090585, 0.1440622368280663, 0.16452313599769364, 0.1312263390282169, 0.226142209898116, 0.1493524070829153, 0.02085849168625745, 0.07639691742334628, 0.22830280512006898, 0.164591039569738, 0.11641549806562111, -0.16315063033394064, 0.05004358818669888, 0.18397107223669687] |
709.1515 | Azumaya-type noncommutative spaces and morphisms therefrom: Polchinski's
D-branes in string theory from Grothendieck's viewpoint | We explain how Polchinski's work on D-branes re-read from a noncommutative
version of Grothendieck's equivalence of local geometries and function rings
gives rise to an intrinsic prototype definition of D-branes (of B-type) as an
Azumaya-type noncommutative space. Several originally open-string induced
properties of D-branes can be reproduced solely by this intrinsic definition.
We study also the moduli space of D0-branes on a commutative target space in
this setup. Some of its features resembles gas of D0-branes in Vafa's work.
| math.AG hep-th math.SG | we explain how polchinskis work on dbranes reread from a noncommutative version of grothendiecks equivalence of local geometries and function rings gives rise to an intrinsic prototype definition of dbranes of btype as an azumayatype noncommutative space several originally openstring induced properties of dbranes can be reproduced solely by this intrinsic definition we study also the moduli space of d0branes on a commutative target space in this setup some of its features resembles gas of d0branes in vafas work | [['we', 'explain', 'how', 'polchinskis', 'work', 'on', 'dbranes', 'reread', 'from', 'a', 'noncommutative', 'version', 'of', 'grothendiecks', 'equivalence', 'of', 'local', 'geometries', 'and', 'function', 'rings', 'gives', 'rise', 'to', 'an', 'intrinsic', 'prototype', 'definition', 'of', 'dbranes', 'of', 'btype', 'as', 'an', 'azumayatype', 'noncommutative', 'space', 'several', 'originally', 'openstring', 'induced', 'properties', 'of', 'dbranes', 'can', 'be', 'reproduced', 'solely', 'by', 'this', 'intrinsic', 'definition', 'we', 'study', 'also', 'the', 'moduli', 'space', 'of', 'd0branes', 'on', 'a', 'commutative', 'target', 'space', 'in', 'this', 'setup', 'some', 'of', 'its', 'features', 'resembles', 'gas', 'of', 'd0branes', 'in', 'vafas', 'work']] | [-0.14171046234192686, 0.09586214779268723, -0.14975072823775312, 0.1298388191110765, -0.09620448784568371, -0.09716357694914898, -0.005712992022148309, 0.31629071857493657, -0.26253537576513525, -0.2611035398947887, 0.05613995352700257, -0.18807308534040856, -0.16632019566037717, 0.17407801574788606, -0.1974008018628527, -0.06468426300144085, -0.02914508471551996, 0.005615462883351705, -0.1407242997830065, -0.2686151394572778, 0.4125869427449428, 0.05581132964326594, 0.24139130266251949, 0.028477839964370314, 0.08964214923803528, 0.004912907821842684, -0.04814714681691466, 0.03435734682604492, -0.1555713728810541, 0.14093682322746667, 0.2104669171027266, 0.0928486686032743, 0.11506723488370578, -0.42273543416880643, -0.15234116938872597, 0.10738815349311782, 0.15695649365751216, 0.10255340620493278, 0.024881501847397514, -0.30059731766008413, 0.02146662863640067, -0.1952082148203865, -0.1836430469635301, -0.07773686111427079, 0.03172141064006167, -0.016904511688969646, -0.15554433053311628, -0.016018568177316457, 0.10648134051081844, 0.08617817091110808, -0.09857255134500939, -0.02855573976949717, -0.041562083344428964, 0.03465612845805784, 0.03666535182109771, 0.06811627267131534, 0.16151732051124176, -0.13660753932065114, -0.1380028357514395, 0.33517055391357875, -0.09653139556161104, -0.1898946107741302, 0.1450128637206478, -0.10493184626699449, -0.149298995694456, 0.09311988090093319, 0.10011585651395413, 0.18515386082566318, -0.10763198684136836, 0.2159758792131936, -0.11568912607020675, 0.10671924548940016, 0.10039302596870141, 0.11404897858245441, 0.2464240473181678, 0.13340087434372458, 0.026394153342176326, 0.18823062036132726, -0.014377001237171965, -0.10308869224853623, -0.3964600127476912, -0.1623295988792028, -0.12723642534827098, 0.1480661510513761, -0.08853244422677492, -0.19774651375766367, 0.40606070031077623, 0.07504545302034761, 0.2505650842586198, -0.01748064612874236, 0.2203903393402027, 0.038133778843658574, 0.039485372244738616, -0.018638497546840556, 0.17475134990728783, 0.20357605710458487, 0.06855379144111887, -0.20906613434318644, -0.047714906822269164, 0.19461948483382377] |
709.1516 | On Universal Prediction and Bayesian Confirmation | The Bayesian framework is a well-studied and successful framework for
inductive reasoning, which includes hypothesis testing and confirmation,
parameter estimation, sequence prediction, classification, and regression. But
standard statistical guidelines for choosing the model class and prior are not
always available or fail, in particular in complex situations. Solomonoff
completed the Bayesian framework by providing a rigorous, unique, formal, and
universal choice for the model class and the prior. We discuss in breadth how
and in which sense universal (non-i.i.d.) sequence prediction solves various
(philosophical) problems of traditional Bayesian sequence prediction. We show
that Solomonoff's model possesses many desirable properties: Strong total and
weak instantaneous bounds, and in contrast to most classical continuous prior
densities has no zero p(oste)rior problem, i.e. can confirm universal
hypotheses, is reparametrization and regrouping invariant, and avoids the
old-evidence and updating problem. It even performs well (actually better) in
non-computable environments.
| math.ST cs.IT cs.LG math.IT stat.ML stat.TH | the bayesian framework is a wellstudied and successful framework for inductive reasoning which includes hypothesis testing and confirmation parameter estimation sequence prediction classification and regression but standard statistical guidelines for choosing the model class and prior are not always available or fail in particular in complex situations solomonoff completed the bayesian framework by providing a rigorous unique formal and universal choice for the model class and the prior we discuss in breadth how and in which sense universal noniid sequence prediction solves various philosophical problems of traditional bayesian sequence prediction we show that solomonoffs model possesses many desirable properties strong total and weak instantaneous bounds and in contrast to most classical continuous prior densities has no zero posterior problem ie can confirm universal hypotheses is reparametrization and regrouping invariant and avoids the oldevidence and updating problem it even performs well actually better in noncomputable environments | [['the', 'bayesian', 'framework', 'is', 'a', 'wellstudied', 'and', 'successful', 'framework', 'for', 'inductive', 'reasoning', 'which', 'includes', 'hypothesis', 'testing', 'and', 'confirmation', 'parameter', 'estimation', 'sequence', 'prediction', 'classification', 'and', 'regression', 'but', 'standard', 'statistical', 'guidelines', 'for', 'choosing', 'the', 'model', 'class', 'and', 'prior', 'are', 'not', 'always', 'available', 'or', 'fail', 'in', 'particular', 'in', 'complex', 'situations', 'solomonoff', 'completed', 'the', 'bayesian', 'framework', 'by', 'providing', 'a', 'rigorous', 'unique', 'formal', 'and', 'universal', 'choice', 'for', 'the', 'model', 'class', 'and', 'the', 'prior', 'we', 'discuss', 'in', 'breadth', 'how', 'and', 'in', 'which', 'sense', 'universal', 'noniid', 'sequence', 'prediction', 'solves', 'various', 'philosophical', 'problems', 'of', 'traditional', 'bayesian', 'sequence', 'prediction', 'we', 'show', 'that', 'solomonoffs', 'model', 'possesses', 'many', 'desirable', 'properties', 'strong', 'total', 'and', 'weak', 'instantaneous', 'bounds', 'and', 'in', 'contrast', 'to', 'most', 'classical', 'continuous', 'prior', 'densities', 'has', 'no', 'zero', 'posterior', 'problem', 'ie', 'can', 'confirm', 'universal', 'hypotheses', 'is', 'reparametrization', 'and', 'regrouping', 'invariant', 'and', 'avoids', 'the', 'oldevidence', 'and', 'updating', 'problem', 'it', 'even', 'performs', 'well', 'actually', 'better', 'in', 'noncomputable', 'environments']] | [-0.043709219335343934, 0.016691174043646444, -0.0909831824877377, 0.13861548189581502, -0.1251671845287395, -0.20105265164359784, 0.07051890346823105, 0.41587772263705525, -0.2741270739263402, -0.3343421871864444, 0.10215399753724341, -0.18960784724266785, -0.16563724448496941, 0.17894700097127092, -0.12131191839176204, 0.12069683415595339, 0.07506223003858598, 0.04074467391344822, -0.06946974151206733, -0.22276577304809406, 0.28673705692441825, 0.03691828722528751, 0.3375245403407866, 0.006944169785128906, 0.09947648065604477, 0.05274468379017586, -0.05378861013903386, 0.018430786181448236, -0.11648696206839304, 0.09027081653928487, 0.2803613394450319, 0.21429543606225504, 0.32392910281972337, -0.3626128738396801, -0.25329929159569375, 0.15293408921893892, 0.12643744826750158, 0.09578577066390102, -0.011725700146699738, -0.25096842656300095, 0.09239988186487204, -0.16239951163313687, -0.07481716970343971, -0.13803627282161163, -0.00941962621679219, -0.037356711386463654, -0.32475674863801235, 0.09947218865919341, 0.1359371922096923, 0.052030337385885, -0.04894209189418083, -0.13371334353642952, 0.04584761301197836, 0.11382926616352051, 0.05461502987681241, 0.02017616724414337, 0.11231916530394098, -0.15021701860758993, -0.12432800465790529, 0.3633446510486667, -0.03506974927667114, -0.21388341696648341, 0.21461525547783822, -0.07832032127124774, -0.20701835621083672, 0.06541887123279998, 0.11181781073375735, 0.11974313401151448, -0.1489028629633443, 0.11244570435600407, -0.04869674656826343, 0.15302816527481708, 0.01900858397129923, 0.0019299858694365765, 0.1861535075133563, 0.16897464925649627, 0.06332879381200958, 0.07077001995882408, -0.03591374896414992, -0.15596639770552023, -0.2986546176115452, -0.12212481231997824, -0.1463576105403869, -0.009172254036558216, -0.09942488519017287, -0.18852261784276278, 0.3520851901266724, 0.18767026015969654, 0.17039643215765762, 0.12356235786541624, 0.28426777066488285, 0.09593068299242684, 0.013851957083968754, 0.08848715897976137, 0.1993476557949584, 0.08860444259739274, 0.0311312746295395, -0.11378006740900067, 0.14643400585434088, 0.029125591508798405] |
709.1517 | Possible theoretical limits on holographic quintessence from weak
gravity conjecture | The holographic dark energy model is one of the important ways for dealing
with the dark energy problems in the quantum gravity framework. In this model,
the dimensionless parameter $c$ plays an essential role in determining the
evolution of the holographic dark energy. In particular, the holographic dark
energy with $c\geq 1$ can be effectively described by a quintessence
scalar-field. However, according to the requirement of the weak gravity
conjecture the variation of the quintessence scalar-field should be less than
the Planck mass, which would give theoretic constraints on the parameters $c$
and $\Omega_{\mathrm{m0}}$. Therefore, we get the possible theoretical limits
on the parameter $c$ for the holographic quintessence model.
| astro-ph | the holographic dark energy model is one of the important ways for dealing with the dark energy problems in the quantum gravity framework in this model the dimensionless parameter c plays an essential role in determining the evolution of the holographic dark energy in particular the holographic dark energy with cgeq 1 can be effectively described by a quintessence scalarfield however according to the requirement of the weak gravity conjecture the variation of the quintessence scalarfield should be less than the planck mass which would give theoretic constraints on the parameters c and omega_mathrmm0 therefore we get the possible theoretical limits on the parameter c for the holographic quintessence model | [['the', 'holographic', 'dark', 'energy', 'model', 'is', 'one', 'of', 'the', 'important', 'ways', 'for', 'dealing', 'with', 'the', 'dark', 'energy', 'problems', 'in', 'the', 'quantum', 'gravity', 'framework', 'in', 'this', 'model', 'the', 'dimensionless', 'parameter', 'c', 'plays', 'an', 'essential', 'role', 'in', 'determining', 'the', 'evolution', 'of', 'the', 'holographic', 'dark', 'energy', 'in', 'particular', 'the', 'holographic', 'dark', 'energy', 'with', 'cgeq', '1', 'can', 'be', 'effectively', 'described', 'by', 'a', 'quintessence', 'scalarfield', 'however', 'according', 'to', 'the', 'requirement', 'of', 'the', 'weak', 'gravity', 'conjecture', 'the', 'variation', 'of', 'the', 'quintessence', 'scalarfield', 'should', 'be', 'less', 'than', 'the', 'planck', 'mass', 'which', 'would', 'give', 'theoretic', 'constraints', 'on', 'the', 'parameters', 'c', 'and', 'omega_mathrmm0', 'therefore', 'we', 'get', 'the', 'possible', 'theoretical', 'limits', 'on', 'the', 'parameter', 'c', 'for', 'the', 'holographic', 'quintessence', 'model']] | [-0.13231326654177467, 0.1486940989154658, -0.11644792989528643, 0.12938561099111487, -0.10165831863606742, -0.18526603223397098, -0.03632621821379203, 0.2492986120574108, -0.21319578739241996, -0.366652175433797, 0.029952730667358693, -0.23219569302762116, -0.037176550861550584, 0.1732157183695721, -0.012497954301262668, 0.04753539425431998, -0.03302364470520609, 0.07842932773087549, -0.026408488649144392, -0.2608164774441938, 0.3610993035376892, 0.1083267641236681, 0.23221404126785491, 0.09051260949377346, 0.058931450064746885, -0.03049583556643183, 0.002484614058363533, -0.0010590590991174861, -0.23767144934470774, 0.0963020563774973, 0.21386245003294782, 0.11572522747783212, 0.2321001209677496, -0.4024458530833176, -0.2985248078470366, 0.1667975735842088, 0.1449998608328949, 0.10344209097253176, -0.039337004772002956, -0.24367308390642936, 0.03345664506009139, -0.17363953952669003, -0.12300310715810832, -0.036370202010377835, 0.0018395500496850101, -0.046186721290957286, -0.24184925386835948, 0.12646609936080394, 0.004684201330630058, -0.06924728859523567, -0.09219255976789041, -0.08249223185275946, -0.027619366286271207, 0.029691799112313656, 0.10009423852577772, 0.04133191224136347, 0.14677062368345098, -0.2255376289115894, -0.05350991394883449, 0.42976127359845223, -0.10747317541585573, -0.20622079390519804, 0.12386266719720779, -0.07476227775583505, -0.14710397075930046, 0.03657258167828715, 0.08083452511612975, 0.09610983152198818, -0.11041743531310504, 0.18520277489032522, -0.0014374093195303865, 0.17589661288032427, 0.021391280697137458, 0.050307783097404676, 0.31647721937763584, 0.14680785511688696, 0.05968260230206021, 0.10917900739998104, -0.05302870347497797, -0.09627273286652213, -0.3768657082948116, -0.18877947322785035, -0.1641415450465652, 0.02356288969995232, -0.19533290138236917, -0.1121533136438886, 0.38875600277796524, 0.13851758929550512, 0.18361497192895637, 0.0175898915013606, 0.285053466771379, 0.12717077287700063, 0.03387240797960533, 0.05398515549086786, 0.325562413910045, 0.09461231027097536, 0.11934376628898563, -0.2711034909514454, -0.013769034714942131, 0.05885532220671757] |
709.1518 | Scaling Properties of Fidelity in Spin-one Anisotropic Model | By means of the density matrix renormalization group technique, the scaling
relation of the fidelity susceptibility proposed recently is verified for the
spin-one XXZ spin chain with an on-site anisotropic term. Moreover, from the
results of both the fidelity susceptibility and the entanglement entropy, the
critical points and some of the corresponding critical exponents are determined
through a proper finite-size scaling analysis, and these values agree with the
findings in the literature. Thus our work provides a numerical support of the
use of the fidelity in detecting quantum phase transitions.
| quant-ph cond-mat.stat-mech | by means of the density matrix renormalization group technique the scaling relation of the fidelity susceptibility proposed recently is verified for the spinone xxz spin chain with an onsite anisotropic term moreover from the results of both the fidelity susceptibility and the entanglement entropy the critical points and some of the corresponding critical exponents are determined through a proper finitesize scaling analysis and these values agree with the findings in the literature thus our work provides a numerical support of the use of the fidelity in detecting quantum phase transitions | [['by', 'means', 'of', 'the', 'density', 'matrix', 'renormalization', 'group', 'technique', 'the', 'scaling', 'relation', 'of', 'the', 'fidelity', 'susceptibility', 'proposed', 'recently', 'is', 'verified', 'for', 'the', 'spinone', 'xxz', 'spin', 'chain', 'with', 'an', 'onsite', 'anisotropic', 'term', 'moreover', 'from', 'the', 'results', 'of', 'both', 'the', 'fidelity', 'susceptibility', 'and', 'the', 'entanglement', 'entropy', 'the', 'critical', 'points', 'and', 'some', 'of', 'the', 'corresponding', 'critical', 'exponents', 'are', 'determined', 'through', 'a', 'proper', 'finitesize', 'scaling', 'analysis', 'and', 'these', 'values', 'agree', 'with', 'the', 'findings', 'in', 'the', 'literature', 'thus', 'our', 'work', 'provides', 'a', 'numerical', 'support', 'of', 'the', 'use', 'of', 'the', 'fidelity', 'in', 'detecting', 'quantum', 'phase', 'transitions']] | [-0.15412163653106997, 0.15150795410817308, -0.08064402241466774, 0.015822166878367877, -0.002185644887180792, -0.11876964134474595, 0.0930812161286465, 0.33443642649411537, -0.20283452010092637, -0.2519580230530765, 0.10582851565494719, -0.3302126904535625, -0.14636884329633582, 0.23632209725264047, 0.05647940626367927, 0.1485282294699573, 0.023674412146728073, 0.057506075744620626, -0.12943792259579318, -0.21898987826166882, 0.33661771528422835, 0.051857824047975655, 0.33078705365252165, 0.09590281440307283, 0.03746815899697443, 0.020033064489770266, 0.008913027469275726, 0.04596893971061541, -0.1656113024076654, 0.09656332215139021, 0.21600701237976966, 0.019167424448662335, 0.19795581077535948, -0.35343919961402814, -0.2218970981426537, 0.05827284220399128, 0.11935031721885833, 0.12827452731629213, -0.03471046153249012, -0.3275060565935241, 0.034047805755916566, -0.18625065004194363, -0.15423063560802902, -0.15834346486824669, -0.036798813820092216, 0.01845558148666492, -0.2695903460598654, 0.15991548033845093, 0.035458475754259984, 0.10656356545579103, -0.04469443103815946, -0.07454742155969143, -0.03218106838822779, 0.16130084394891228, 0.060533375880267054, 0.03498683784467479, 0.09906015668271316, -0.13257354726600978, -0.1332454495701111, 0.31328111154337723, -0.02309509510588315, -0.1610148343137957, 0.14518936610159774, -0.14075992935751047, -0.11269829475010434, 0.08923685300105717, 0.0641392029226861, 0.049650957290497094, -0.13560160846552916, 0.08362563952816547, -0.0016546739278257721, 0.17308953244808234, -0.019018276470402877, 0.03986222211064564, 0.1853853906194369, 0.12009728805472454, 0.01795494950686892, 0.18113996671874905, -0.08469062554650009, -0.14669841460417957, -0.3044715617886848, -0.18495291136205197, -0.26774496086355715, 0.030617349883282765, -0.17926324131824206, -0.1332517693233159, 0.4144285707838006, 0.17901439003537437, 0.21385199262036217, 0.08169563820378647, 0.24270657377524507, 0.16495198327142538, 0.05234881146914429, 0.08464169930149283, 0.23239478608237632, 0.18524908331585013, 0.07209396358682878, -0.33120883769717896, 0.03845107651108669, 0.08102918124705967] |
709.1519 | Transport properties and magnetic field induced localization in the
misfit cobaltite
[Bi$_2$Ba$_{1.3}$K$_{0.6}$Co$_{0.1}$]$^{RS}$[CoO$_2$]$_{1.97}$ single crystal | Resistivity under magnetic field, thermopower and Hall coefficient are
systematically studied for
[Bi$_2$Ba$_{1.3}$K$_{0.6}$Co$_{0.1}$]$^{RS}$[CoO$_2$]$_{1.97}$ single crystal.
In-plane resistivity ($\rho_{ab}$(T)) shows metallic behavior down to 2 K with
a $T^2$ dependence below 30 K; while out-of-plane resistivity ($\rho_{c}(T)$)
shows metallic behavior at high temperature and a thermal activation
semiconducting behavior below about 12 K. Striking feature is that magnetic
field induces a ln(1/$T$) diverging behavior in both $\rho_{ab}$ and
$\rho_{c}(T)$ at low temperature. The positive magnetoresistance (MR) could be
well fitted by the formula based on multi-band electronic structure. The
ln(1/$T$) diverging behavior in $\rho_{ab}$ and $\rho_{c}(T)$ could arise from
the magnetic-field-induced 2D weak localization or spin density wave.
| cond-mat.str-el cond-mat.mtrl-sci | resistivity under magnetic field thermopower and hall coefficient are systematically studied for bi_2ba_13k_06co_01rscoo_2_197 single crystal inplane resistivity rho_abt shows metallic behavior down to 2 k with a t2 dependence below 30 k while outofplane resistivity rho_ct shows metallic behavior at high temperature and a thermal activation semiconducting behavior below about 12 k striking feature is that magnetic field induces a ln1t diverging behavior in both rho_ab and rho_ct at low temperature the positive magnetoresistance mr could be well fitted by the formula based on multiband electronic structure the ln1t diverging behavior in rho_ab and rho_ct could arise from the magneticfieldinduced 2d weak localization or spin density wave | [['resistivity', 'under', 'magnetic', 'field', 'thermopower', 'and', 'hall', 'coefficient', 'are', 'systematically', 'studied', 'for', 'bi_2ba_13k_06co_01rscoo_2_197', 'single', 'crystal', 'inplane', 'resistivity', 'rho_abt', 'shows', 'metallic', 'behavior', 'down', 'to', '2', 'k', 'with', 'a', 't2', 'dependence', 'below', '30', 'k', 'while', 'outofplane', 'resistivity', 'rho_ct', 'shows', 'metallic', 'behavior', 'at', 'high', 'temperature', 'and', 'a', 'thermal', 'activation', 'semiconducting', 'behavior', 'below', 'about', '12', 'k', 'striking', 'feature', 'is', 'that', 'magnetic', 'field', 'induces', 'a', 'ln1t', 'diverging', 'behavior', 'in', 'both', 'rho_ab', 'and', 'rho_ct', 'at', 'low', 'temperature', 'the', 'positive', 'magnetoresistance', 'mr', 'could', 'be', 'well', 'fitted', 'by', 'the', 'formula', 'based', 'on', 'multiband', 'electronic', 'structure', 'the', 'ln1t', 'diverging', 'behavior', 'in', 'rho_ab', 'and', 'rho_ct', 'could', 'arise', 'from', 'the', 'magneticfieldinduced', '2d', 'weak', 'localization', 'or', 'spin', 'density', 'wave']] | [-0.20242477880509677, 0.2499409302682528, -0.0568060581308772, -0.03291419407963436, -0.06544963620550368, -0.22232289510814227, 0.06218297218570029, 0.3807866176379458, -0.27105056643837466, -0.3033888654888801, -0.008239948153407927, -0.3737181997242964, -0.1233840786636684, 0.21339153810645858, 0.08235200001629737, 0.007473252787949948, -0.1252377709090481, 0.022138538941705845, -0.15782525495599675, -0.16566672867366095, 0.22799159683076278, 0.011475964089117522, 0.37701917268370966, 0.12198235599910577, 0.04004164850602875, -0.017593428725376725, 0.19694446966948234, 0.12792355961271756, -0.12255940605033208, -0.09175727473361031, 0.28685025617761434, -0.17273713168160953, 0.15825797553516854, -0.36684826492630646, -0.20931597521423168, -0.040608473864542145, 0.11229363946191404, 0.08293921101337545, -0.020772301382165542, -0.23020951274149823, 0.08502855364953713, -0.06526253602625627, -0.11976150962642727, -0.12497595467226896, 0.0061603488322602195, -0.07979882919099973, -0.24220036492816982, 0.2378161345665642, 0.08428758906556363, 0.19934299687760496, -0.10792832930554759, -0.21269967179209487, -0.05915977157221861, 0.008374089610165442, 0.09272878396298455, 0.0897905611518753, 0.215868027336052, -0.13631289562359802, -0.051591893781046824, 0.2551558916149485, -0.11518332409729548, 0.021822305563134404, 0.1280585149070248, -0.26694692519300106, -0.046234161627889646, 0.2454561514006752, 0.09388612199273787, 0.06488537166557573, -0.10968613277578217, 0.0771519686361744, 0.01701968410044122, 0.20036046899073176, 0.05368431968140012, 0.049678338742112076, 0.2555237113550868, 0.1613601509224676, 0.012477796357827928, 0.1390482189852024, -0.1576623211127161, 0.026308267377316952, -0.1895583573265335, -0.1362258831307046, -0.20444078583990768, 0.1793611565134477, -0.12179816839282999, -0.19150344044176582, 0.34435776586837646, 0.11283090447058093, 0.2515845033779459, -0.0101687140490438, 0.20412542555867783, 0.1206844123256094, 0.07670636623131358, 0.09115946958421396, 0.19001235871769065, 0.2175388921970361, 0.20454096079601924, -0.35031753064809756, 0.12444906735371025, -0.044300199150248375] |
709.152 | Fermions in gravity and gauge backgrounds on a brane world | We solve the fermionic zero modes in gravity and gauge backgrounds on a brane
involving a warped geometry, and study the localization of spin 1/2 fermionic
field on the brane world. The result is that there exist massless spin 1/2
fermions which can be localized on the bulk with the exponentially decreasing
warp factor if including U(1) gauge background. Two special cases of gauge
backgrounds on the extra dimensional manifold are discussed.
| hep-th | we solve the fermionic zero modes in gravity and gauge backgrounds on a brane involving a warped geometry and study the localization of spin 12 fermionic field on the brane world the result is that there exist massless spin 12 fermions which can be localized on the bulk with the exponentially decreasing warp factor if including u1 gauge background two special cases of gauge backgrounds on the extra dimensional manifold are discussed | [['we', 'solve', 'the', 'fermionic', 'zero', 'modes', 'in', 'gravity', 'and', 'gauge', 'backgrounds', 'on', 'a', 'brane', 'involving', 'a', 'warped', 'geometry', 'and', 'study', 'the', 'localization', 'of', 'spin', '12', 'fermionic', 'field', 'on', 'the', 'brane', 'world', 'the', 'result', 'is', 'that', 'there', 'exist', 'massless', 'spin', '12', 'fermions', 'which', 'can', 'be', 'localized', 'on', 'the', 'bulk', 'with', 'the', 'exponentially', 'decreasing', 'warp', 'factor', 'if', 'including', 'u1', 'gauge', 'background', 'two', 'special', 'cases', 'of', 'gauge', 'backgrounds', 'on', 'the', 'extra', 'dimensional', 'manifold', 'are', 'discussed']] | [-0.18679170689493832, 0.25632397955956143, -0.004894513960203363, 0.10273482144273455, -0.07082776551962727, -0.19984455274081686, -0.052179036325671606, 0.3296515339623309, -0.11281712727698807, -0.24384472705423832, 0.11700119258118018, -0.29049787594380583, -0.12836712936081718, 0.12883414952860525, -0.01710831676609814, -0.03243628355266992, -0.016115072817127738, 0.07343687880266872, -0.09739702381517014, -0.2976309047355446, 0.3943082918542334, -0.033936344630395375, 0.26841189579055125, 0.042971649947705574, 0.10589343586212231, -0.0022104759378736264, 0.018706144798973885, 0.020409632097627965, -0.09395563147508154, 0.055221713962964714, 0.17823467653943226, 0.01215102841767172, 0.10116834847980903, -0.43140512896287775, -0.22791663782360652, 0.07432252063234854, 0.1795848178379755, 0.1555264770981416, -0.05048882951571917, -0.31987927707895225, 0.017410943860239867, -0.14913863160957894, -0.14868537320904174, -0.07983397694705571, -0.03223778551101633, -0.15714664463949804, -0.22482551417003074, 0.08904319952449037, 0.030434298555418435, 0.030187784732940297, -0.06863054654968437, -0.08949567739101541, -0.08350150939077139, 0.03253715812590801, 0.20576273086933522, 0.08067553840293032, 0.1525667584565882, -0.19096201666141294, -0.15872266303954852, 0.36340495366473785, -0.11792923025010775, -0.3176390261699756, 0.2195862635012923, -0.16158878164343252, -0.12594008958613914, 0.10918251657050052, 0.15197981727154306, 0.1314045031645542, -0.09141251413368284, 0.24756876130737104, -0.05086449068686408, 0.13545365006818125, 0.10464644584054542, 0.06537201597691616, 0.2868260203136338, 0.09097669435949582, 0.09900976271698407, 0.11791712614649441, -0.06978391238953918, -0.13082257532126582, -0.3758968287664983, -0.15732320869574323, -0.15042774921231386, 0.14951909850868914, -0.15550567266594348, -0.18529835320077837, 0.4054126473686968, 0.08125741838254423, 0.1574225045171463, -0.0037734887106732153, 0.19293949390865034, 0.0831197856977168, 0.08223079552165775, 0.060590584523096264, 0.26126865594414994, 0.1290101587203228, 0.045808934900883794, -0.26127006267375286, -0.1849589556578495, 0.09327041343203746] |
709.1521 | Ricci Flow with hyperbolic warped product metrics | In this short note, we show that the negative curvature is preserved in the
deformation of hyperbolic warped product metrics under Ricci flow. It is also
showed that the flow converges to a flat metric as time going to infinity.
| math.DG math.AP | in this short note we show that the negative curvature is preserved in the deformation of hyperbolic warped product metrics under ricci flow it is also showed that the flow converges to a flat metric as time going to infinity | [['in', 'this', 'short', 'note', 'we', 'show', 'that', 'the', 'negative', 'curvature', 'is', 'preserved', 'in', 'the', 'deformation', 'of', 'hyperbolic', 'warped', 'product', 'metrics', 'under', 'ricci', 'flow', 'it', 'is', 'also', 'showed', 'that', 'the', 'flow', 'converges', 'to', 'a', 'flat', 'metric', 'as', 'time', 'going', 'to', 'infinity']] | [-0.17900282605551182, 0.13042805892764592, -0.14260133721400053, 0.07330218620190862, -0.0674855801742524, -0.14417642970802264, -0.1014309442602098, 0.41812900961376726, -0.29953300980851055, -0.14479302022082266, 0.1363500404113438, -0.27878970466554165, -0.2032621859572828, 0.1398350407835096, -0.1573815786279738, -0.00034338529221713545, 0.08259778905194252, 0.11377931297756731, -0.08839866261696443, -0.28082754828501494, 0.39282220383174715, 0.0667471912689507, 0.3018778251716867, 0.12912951696634992, 0.11545454581064404, -0.09353409642353654, 0.012438209261745214, 0.1074041644576937, -0.1870311685193883, 0.04534159034956246, 0.19781328637618573, 0.08035791656002403, 0.22747522831778041, -0.3481957928277552, -0.23259680598857813, 0.10972144873812795, 0.13011373699409887, 0.05384831372648478, -0.031872038287110625, -0.23525178302079439, 0.1231758228270337, -0.1301409113802947, -0.15625400415010518, -0.06262210076674819, 0.02139874049462378, -0.045167221943847834, -0.18177771351183764, 0.07788053044860135, 0.14343986292369665, -0.03184790317900479, -0.07867706273682415, 0.004946626489982009, -0.06200364662799984, 0.11026315862545744, 0.21724583812756465, 0.065536139102187, 0.09208732605911792, -0.05160414005949861, -0.01889420374063775, 0.3592447474249639, -0.19693548451177775, -0.2839060590136796, 0.12119052382186055, -0.163713783537969, -0.10416417205706238, 0.0999813481932506, 0.1775910312891938, 0.18904880832415075, -0.05790401609265246, 0.13787151756696403, -0.06817216398194433, 0.1100532345706597, 0.15116915844846518, -0.0559586028335616, 0.10873494097031652, 0.12564234163146465, 0.19550443349871785, 0.17438383983680977, -0.0163139957934618, -0.09283118557650596, -0.37259012162685395, -0.24313194826245307, -0.16328114268835633, 0.20294480728916825, -0.14884977736510335, -0.21210274819750338, 0.37438518069684507, 0.04124734686920419, 0.22825870953965932, 0.15050377792213113, 0.26330700987018646, 0.052590641360438894, 0.05867451033554971, 0.162666202778928, 0.27040974169503895, 0.11608046246692538, 0.12827297449111938, -0.14896942486520856, -0.028445178491529076, 0.06965213692747056] |
709.1522 | The BV Master Equation for the Wilson Action in general Yang-Mills Gauge
Theory | The Wilson effective action for general Yang-Mills gauge theory is shown to
satisfy the usual form of Batalin-Vilkovisky (BV) master equation, despite that
a momentum cutoff apparently breaks the gauge invariance. In the case of
Abelian gauge theory, in particular, it actually deduces the Ward-Takahashi
identity for Wilson action recently derived by Sonoda.
| hep-th | the wilson effective action for general yangmills gauge theory is shown to satisfy the usual form of batalinvilkovisky bv master equation despite that a momentum cutoff apparently breaks the gauge invariance in the case of abelian gauge theory in particular it actually deduces the wardtakahashi identity for wilson action recently derived by sonoda | [['the', 'wilson', 'effective', 'action', 'for', 'general', 'yangmills', 'gauge', 'theory', 'is', 'shown', 'to', 'satisfy', 'the', 'usual', 'form', 'of', 'batalinvilkovisky', 'bv', 'master', 'equation', 'despite', 'that', 'a', 'momentum', 'cutoff', 'apparently', 'breaks', 'the', 'gauge', 'invariance', 'in', 'the', 'case', 'of', 'abelian', 'gauge', 'theory', 'in', 'particular', 'it', 'actually', 'deduces', 'the', 'wardtakahashi', 'identity', 'for', 'wilson', 'action', 'recently', 'derived', 'by', 'sonoda']] | [-0.141864408235191, 0.19013878574165013, -0.153334606725436, 0.15356810929370113, -0.13583232319125763, -0.16188549365884122, -0.004198040155013307, 0.3263996228432426, -0.19077054103120014, -0.2460045826334793, 0.016689360898453742, -0.20600344892591238, -0.18639239425269458, 0.06857893739092666, -0.10938450910795766, 0.0327774490444706, 0.01703007481634044, 0.11668565527249414, -0.1224792173687512, -0.24368143583146426, 0.3527851532965612, -0.013828122504771901, 0.3257132310133714, 0.05590601628108953, 0.15162439622844642, 0.058830921117287986, -0.022481858318385024, -0.019121822990620367, -0.03299715698211422, 0.09163197491747829, 0.17170280712441757, 0.0021614316277779066, 0.12864336410823923, -0.3790586755897563, -0.22664135021085924, 0.02830323298425915, 0.15152494050562382, 0.10665936301945923, 0.0017320739929206097, -0.28634001643737206, 0.03827046488340084, -0.18740757952372616, -0.24138495298057722, -0.1358519263449125, 0.047989638414807044, -0.14779141877974886, -0.2810939436223215, 0.08728333921429182, 0.008565550347646842, 0.07701512712698716, -0.04318712588148908, -0.046691009450184465, -0.08057971955993427, 0.049275695749271944, 0.1695839409635832, 0.12086330363168739, 0.09847773067080058, -0.22074814067365459, -0.07230410048773941, 0.4516066050586792, -0.10821308077384646, -0.24722915364859196, 0.08100517290698078, -0.15220076509285718, -0.25046731656094867, 0.08373483283475462, -0.02259572678639625, 0.128065205591086, -0.20246052163509795, 0.27645021865072733, -0.0910885666962713, 0.05969969396336147, 0.1271772840543865, 0.023678797463967036, 0.13499656145890745, -0.025563295666450776, 0.04509515870505801, 0.08883410416400203, 0.10745807035038105, -0.19497937340146074, -0.43431556611680067, -0.13152537136584913, -0.09729348638435252, 0.16640974907876135, -0.1145069908279066, -0.14002488431008084, 0.32355260563781485, 0.15910893217481387, 0.0794574546162039, 0.10198796157223675, 0.1788067058301889, 0.22340115701976734, 0.15875781434946334, 0.05162241004514866, 0.23809076186556083, 0.23853316813340195, 0.10606023321787898, -0.2916947918890331, -0.1390843061157144, 0.31319608364272145] |
709.1523 | String Theory and Quantum Chromodynamics | I review recent progress on the connection between string theory and quantum
chromodynamics in the context of the gauge/gravity duality. Emphasis is placed
on conciseness and conceptual aspects rather than on technical details. Topics
covered include the large-Nc limit of gauge theories, the gravitational
description of gauge theory thermodynamics and hydrodynamics, and
confinement/deconfinement thermal phase transitions.
| hep-th | i review recent progress on the connection between string theory and quantum chromodynamics in the context of the gaugegravity duality emphasis is placed on conciseness and conceptual aspects rather than on technical details topics covered include the largenc limit of gauge theories the gravitational description of gauge theory thermodynamics and hydrodynamics and confinementdeconfinement thermal phase transitions | [['i', 'review', 'recent', 'progress', 'on', 'the', 'connection', 'between', 'string', 'theory', 'and', 'quantum', 'chromodynamics', 'in', 'the', 'context', 'of', 'the', 'gaugegravity', 'duality', 'emphasis', 'is', 'placed', 'on', 'conciseness', 'and', 'conceptual', 'aspects', 'rather', 'than', 'on', 'technical', 'details', 'topics', 'covered', 'include', 'the', 'largenc', 'limit', 'of', 'gauge', 'theories', 'the', 'gravitational', 'description', 'of', 'gauge', 'theory', 'thermodynamics', 'and', 'hydrodynamics', 'and', 'confinementdeconfinement', 'thermal', 'phase', 'transitions']] | [-0.11750380109879188, 0.18176073226745107, -0.10896551888436079, 0.11430371813185047, -0.08840143517591059, -0.12503853666774895, 0.05693269313945036, 0.29836703391213504, -0.1372018952138855, -0.26704525887700065, 0.05586162624656156, -0.30197662667238284, -0.15570630665336335, 0.11036661510089678, -0.044950411663324176, 0.002348150159897549, -0.0032485269059959266, 0.023156667394297465, -0.13129854377725028, -0.24413989173314934, 0.33435377597509486, 0.0622035888352132, 0.34481599780597855, 0.1822229236547303, 0.06772138761672457, 0.020286136581229845, -0.10420665791856923, 0.018147585217125846, -0.18531712124656355, 0.11961350974161178, 0.24447154699425613, 0.07900775860096994, 0.1506690416218979, -0.510978972239952, -0.25188547698780894, -0.02762805613539448, 0.05388200049180471, 0.1315207022874217, -0.03514653460713037, -0.3120808975904116, -0.045376752220493345, -0.17126695292868785, -0.10866770474655953, -0.06002218770195863, 0.012566574516573123, -0.08596996676619385, -0.11037450101658967, 0.02913828439029333, 0.04713392272658114, 0.11417072833449181, 0.03517823754477182, -0.09099042525381915, 0.033350762112864425, 0.05771693424321711, 0.1049119954321733, 0.09172335402607652, 0.15794819021331413, -0.26765676179534886, -0.1593715599072831, 0.43391565030573737, 0.0038894588597031543, -0.14932887946737797, 0.22848450142191723, -0.13204075688762323, -0.2431555825252352, 0.013481794656919581, 0.13310935913302405, 0.13267610668637125, -0.10435637128206768, 0.22820122555380554, 0.035302714394804625, 0.12163418447848276, 0.06220864668388718, 0.12406279130040535, 0.3535731043666601, 0.1841013190569356, -0.074631238539171, 0.09966173370568347, 0.06173068334464915, -0.2791714811963694, -0.47965110309555065, -0.07523844426032156, -0.12305113984205361, 0.07353288201764892, -0.09304682770640024, -0.12915570896854792, 0.33725009695626795, 0.1720395456400833, 0.09110573178622872, 0.007448080777456718, 0.2398094985817027, 0.055112912920386795, -0.050182278168254664, -0.045161945188218464, 0.27647483140130397, 0.2873248041141778, 0.15657002537045628, -0.23982636994748777, -0.07950647074488058, 0.24149938747619412] |
709.1524 | Sfermion Mass Relations in Orbifold Family Unification | We derive relations among sfermion masses based on orbifold family
unification models. Sfermion mass relations are specific to each model and can
be useful for a selection of realistic model.
| hep-ph | we derive relations among sfermion masses based on orbifold family unification models sfermion mass relations are specific to each model and can be useful for a selection of realistic model | [['we', 'derive', 'relations', 'among', 'sfermion', 'masses', 'based', 'on', 'orbifold', 'family', 'unification', 'models', 'sfermion', 'mass', 'relations', 'are', 'specific', 'to', 'each', 'model', 'and', 'can', 'be', 'useful', 'for', 'a', 'selection', 'of', 'realistic', 'model']] | [-0.10002552109460036, 0.1458084440169235, -0.02731913160532713, 0.24727240776022275, -0.15459661688655615, -0.24104274615334967, 0.06125367737064759, 0.39753991067409516, -0.17291701646366467, -0.37727940604090693, 0.08123233166212837, -0.21019834851225216, -0.07995823261638482, 0.2222258424308772, -0.003450299830486377, 0.03570746739084522, -0.017130992988434932, -0.017583522014319897, -0.12825691415928303, -0.20334566809857885, 0.39561591440190874, -0.013786524472137292, 0.25785444701711335, 0.02236412571122249, 0.04850326609642555, -0.07252897825092078, 0.02138451550466319, -0.0758157038440307, -0.14261687034741044, 0.1574801828712225, 0.1918662561779153, 0.1234386544674635, 0.09909495400885741, -0.3217001601743201, -0.1674140718765557, 0.1786143817473203, 0.14545110800924402, 0.12429731655865908, -0.05220831991561378, -0.25875655201574166, 0.05895216232165694, -0.24646135095293478, -0.06914046245316664, -0.13251951759060224, -0.06959433496619265, -0.01439510639756918, -0.37355701848864553, 0.09160214855025212, -0.07159161501137229, -0.03739620571335157, -0.06471420720530054, -0.16989516988396644, -0.0996154222637415, 0.13299747646475832, 0.08157931950408966, -0.09983067000284791, 0.11506991325877607, -0.1220657194343706, -0.12174947801977395, 0.461649747415989, -0.03723210133612156, -0.2313197589168946, 0.1624419890421753, -0.08383866318811974, -0.25438663839983444, -0.01599132517973582, 0.261358039205273, 0.1285878742734591, -0.25020611040915053, 0.10329741257980156, -0.11677823613087336, 0.17477884873126945, 0.012449092247212927, 0.054182006791234014, 0.3766524396836758, 0.2118525664632519, -0.001325580415626367, 0.04476089325034991, -0.004352031066082418, -0.0765282121176521, -0.3601350615421931, -0.03856976814568043, -0.04668031806747119, 0.014799149458607037, -0.2089525654829534, -0.05446348090966543, 0.38539091795682906, 0.2137562756819534, 0.2752055744330088, 0.16151203522458674, 0.24545913288990656, 0.13540357286110521, 0.18366682014117638, 0.017118763520071904, 0.21942578181624411, 0.12278278575589259, -0.041587223593766494, -0.16153231522378822, 0.0012453478295356036, 0.1980218105018139] |
709.1525 | Tensor representations of classical locally finite Lie algebras | We study the structure of tensor representations of the classical
infinite-dimensional locally finite Lie algebras $gl_\infty$, $sl_\infty$,
$sp_\infty$ and $so_\infty$. In contrast with the finite-dimensional case,
these tensor representations are not semisimple. We explicitly describe their
Jordan-Holder constituents, socle filtrations, and indecomposable direct
summands.
| math.RT | we study the structure of tensor representations of the classical infinitedimensional locally finite lie algebras gl_infty sl_infty sp_infty and so_infty in contrast with the finitedimensional case these tensor representations are not semisimple we explicitly describe their jordanholder constituents socle filtrations and indecomposable direct summands | [['we', 'study', 'the', 'structure', 'of', 'tensor', 'representations', 'of', 'the', 'classical', 'infinitedimensional', 'locally', 'finite', 'lie', 'algebras', 'gl_infty', 'sl_infty', 'sp_infty', 'and', 'so_infty', 'in', 'contrast', 'with', 'the', 'finitedimensional', 'case', 'these', 'tensor', 'representations', 'are', 'not', 'semisimple', 'we', 'explicitly', 'describe', 'their', 'jordanholder', 'constituents', 'socle', 'filtrations', 'and', 'indecomposable', 'direct', 'summands']] | [-0.15898405857892198, 0.1223247079390355, -0.06632898714583875, 0.05363199406896125, -0.2015057297169485, -0.09991468461653726, -0.12260707323862748, 0.4313597399741411, -0.3944499913222072, -0.08983656560832803, 0.1104880567978729, -0.20542561643841592, -0.1684355230708289, 0.0708142501429062, -0.12383924280716614, -0.07797401607967913, 0.09695621029558507, 0.13873142554340037, -0.12271387388252399, -0.3154302383296784, 0.40953927305103704, -0.05300128445643085, 0.2508651212238791, -0.014626280933787877, 0.1476006233503788, 0.04019001397484152, -0.04547625835138289, -0.061009502726268365, -0.13841359177604318, 0.12670460958510044, 0.4350129801525988, -0.0034370958191257987, 0.14284966920174405, -0.37592282573777164, -0.03975708007981831, 0.2871876861900091, 0.16986017855180596, 0.01809558860788291, 0.05658431582428007, -0.2926631843279624, 0.10305093353698877, -0.32163245151539077, -0.08680373809131031, -0.16837473518469118, 0.039045997535471215, -0.04615899080685763, -0.15865593546054282, 0.08732753357088024, 0.11892216306031597, 0.15541237783194942, -0.18865843035746366, -0.15547854381359436, -0.09803339374378663, 0.09879741970111024, -0.09624075284227729, -0.10748415899103168, 0.1287854710509154, -0.09214058761823583, -0.17965156318413475, 0.3591183956331489, 0.022954223116605797, -0.2733622979457406, 0.19708556135777722, -0.22056401813064108, -0.15591244853567332, 0.0581695574589751, 0.01898978379639712, 0.15230795094447042, 0.012537070527535187, 0.2499836652343881, -0.16573323290371758, -0.0543095389730297, 0.08066858118929138, 0.031537593067200345, 0.09972841495685068, 0.024796598936187696, -0.008614649424668063, 0.10487265192734246, 0.13875123804477466, 0.0023596103049137378, -0.365105477839031, -0.20213609899986873, -0.09623334172647446, 0.15198653924248487, -0.16176011337798132, -0.17937445810424502, 0.39420082297345455, 0.05611389134984082, 0.16704210690063934, 0.18175673983271487, 0.19826575518924405, 0.01893648706291887, 0.10502202812561089, 0.061815356708724394, 0.10098783386109228, 0.35530523655258794, -0.09683139713227072, -0.10554364376532083, -0.07724943111481314, 0.2658020964273336] |
709.1526 | Jarlskog Invariant of the Neutrino Mapping Matrix | The Jarlskog Invariant $J_{\nu-map}$ of the neutrino mapping matrix is
calculated based on a phenomenological model which relates the smallness of
light lepton masses $m_e$ and $m_1$ (of $\nu_1$) with the smallness of $T$
violation. For small $T$ violating phase $\chi_l$ in the lepton sector,
$J_{\nu-map}$ is proportional to $\chi_l$, but $m_e$ and $m_1$ are proportional
to $\chi_l^2$. This leads to $ J_{\nu-map} \cong
{1/6}\sqrt{\frac{m_e}{m_\mu}}+O \bigg(\sqrt{\frac{m_em_\mu}{m_\tau^2}}\bigg)+O
\bigg(\sqrt{\frac{m_1m_2}{m_3^2}}\bigg)$. Assuming
$\sqrt{\frac{m_1m_2}{m_3^2}}<<\sqrt{\frac{m_e}{m_\mu}}$, we find
$J_{\nu-map}\cong 1.16\times 10^{-2}$, consistent with the present experimental
data.
| hep-ph | the jarlskog invariant j_numap of the neutrino mapping matrix is calculated based on a phenomenological model which relates the smallness of light lepton masses m_e and m_1 of nu_1 with the smallness of t violation for small t violating phase chi_l in the lepton sector j_numap is proportional to chi_l but m_e and m_1 are proportional to chi_l2 this leads to j_numap cong 16sqrtfracm_em_muo biggsqrtfracm_em_mum_tau2biggo biggsqrtfracm_1m_2m_32bigg assuming sqrtfracm_1m_2m_32sqrtfracm_em_mu we find j_numapcong 116times 102 consistent with the present experimental data | [['the', 'jarlskog', 'invariant', 'j_numap', 'of', 'the', 'neutrino', 'mapping', 'matrix', 'is', 'calculated', 'based', 'on', 'a', 'phenomenological', 'model', 'which', 'relates', 'the', 'smallness', 'of', 'light', 'lepton', 'masses', 'm_e', 'and', 'm_1', 'of', 'nu_1', 'with', 'the', 'smallness', 'of', 't', 'violation', 'for', 'small', 't', 'violating', 'phase', 'chi_l', 'in', 'the', 'lepton', 'sector', 'j_numap', 'is', 'proportional', 'to', 'chi_l', 'but', 'm_e', 'and', 'm_1', 'are', 'proportional', 'to', 'chi_l2', 'this', 'leads', 'to', 'j_numap', 'cong', '16sqrtfracm_em_muo', 'biggsqrtfracm_em_mum_tau2biggo', 'biggsqrtfracm_1m_2m_32bigg', 'assuming', 'sqrtfracm_1m_2m_32sqrtfracm_em_mu', 'we', 'find', 'j_numapcong', '116times', '102', 'consistent', 'with', 'the', 'present', 'experimental', 'data']] | [-0.15855005055911736, 0.3117669911201422, 0.027268074826376203, 0.119400093184797, -0.05848539373578711, -0.18395405528523648, 0.0723528001803465, 0.25150032507048714, -0.18068430164001054, -0.32755595181758207, 0.03044761129907177, -0.31272286026635104, -0.012495084717455838, 0.12583969565457664, -0.015995471984044544, 0.03639172332542431, -0.012341260942371769, 0.014412829238507483, -0.136924024257395, -0.16510977381322947, 0.2931117381538368, 0.0020149636418662136, 0.21672506146003595, 0.10940426591938983, 0.08252141924296869, -0.052162821870297194, -0.012288995048341652, -0.13275591415974, -0.17244576560592073, 0.029588336826741904, 0.10737842377016528, 0.0690386872091848, 0.024277352624469332, -0.3207820480585926, -0.08060780086088926, 0.19235583761474118, 0.08706899652477457, -0.02620036599465594, -0.012839023523459522, -0.276255369057051, 0.11489500977202421, -0.19584297406901088, -0.11170922609421217, -0.06720786231582881, 0.05210182452315672, -0.10933177605491234, -0.4175828736042604, 0.17111294353122097, -0.056304767184580364, -0.028671970474533737, -0.0015746648714412004, -0.18535624952831617, -0.03855811935176866, 0.006687162638021012, 0.21875985802843287, 0.05783442341877768, 0.08983081141034038, -0.05881795804210318, -0.03334824455992526, 0.46607584894324344, -0.11503936426985699, -0.1708744688011292, 0.0662090757169709, -0.2133478844900512, -0.12620021685466376, 0.10508540125900051, 0.08315395418321714, 0.08599010050400263, -0.12635413632314238, 0.1804275246282082, -0.10768320204483138, 0.17839991364356442, 0.01612329968742819, 0.013474384038191702, 0.2183899583501948, 0.1744631672578786, 0.07021711811992443, 0.005073735555116501, -0.0745515186604785, -0.034960050601512194, -0.4058785758809083, -0.10752187353662318, -0.16188003797368664, 0.13201487043665516, -0.09666012935041282, -0.07714886708547258, 0.37048103598256904, 0.12488233129907814, 0.2792658936491029, 0.06382261894598035, 0.2399741919685362, 0.10462919986134188, 0.08961803750652406, 0.047065074018771864, 0.2557567541565125, 0.17813628701130962, 0.08508343682236348, -0.29915244773858124, 0.01599233672540221, 0.07939400949463662] |
709.1527 | Origin of Chromatic Features in Multiple Quasars -Variability, Dust, or
Microlensing - | Aims:In some of the lensed quasars, color differences between multiple images
are observed at optical/near-infrared wavelengths. There are three possible
origins of the color differences: intrinsic variabilities of quasars,
differential dust extinction, and quasar microlensing. We examine how these
three possible scenarios can reproduce the observed chromaticity. Methods:We
evaluate how much color difference between multiple images can be reproduced by
the above three possible scenarios with realistic models; (i) an empirical
relation for intrinsic variabilities of quasars, (ii) empirical relations for
dust extinction and theoretically predicted inhomogeneity in galaxies, or (iii)
a theoretical model for quasar accretion disks and magnification patterns in
the vicinity of caustics. Results:We find that intrinsic variabilities of
quasars cannot be a dominant source responsible for observed chromatic features
in multiple quasars. In contrast, either dust extinction or quasar microlensing
can nicely reproduce the observed color differences between multiple images in
most of the lensed quasars. Taking into account the time interval between
observations at different wavebands in our estimations, quasar microlensing is
a more realistic scenario to reproduce the observed color differences than dust
extinction. All the observed color differences presented in this paper can be
explained by a combination of these two effects, but monitoring observations at
multiple wavebands are necessary to disentangle these.
| astro-ph | aimsin some of the lensed quasars color differences between multiple images are observed at opticalnearinfrared wavelengths there are three possible origins of the color differences intrinsic variabilities of quasars differential dust extinction and quasar microlensing we examine how these three possible scenarios can reproduce the observed chromaticity methodswe evaluate how much color difference between multiple images can be reproduced by the above three possible scenarios with realistic models i an empirical relation for intrinsic variabilities of quasars ii empirical relations for dust extinction and theoretically predicted inhomogeneity in galaxies or iii a theoretical model for quasar accretion disks and magnification patterns in the vicinity of caustics resultswe find that intrinsic variabilities of quasars cannot be a dominant source responsible for observed chromatic features in multiple quasars in contrast either dust extinction or quasar microlensing can nicely reproduce the observed color differences between multiple images in most of the lensed quasars taking into account the time interval between observations at different wavebands in our estimations quasar microlensing is a more realistic scenario to reproduce the observed color differences than dust extinction all the observed color differences presented in this paper can be explained by a combination of these two effects but monitoring observations at multiple wavebands are necessary to disentangle these | [['aimsin', 'some', 'of', 'the', 'lensed', 'quasars', 'color', 'differences', 'between', 'multiple', 'images', 'are', 'observed', 'at', 'opticalnearinfrared', 'wavelengths', 'there', 'are', 'three', 'possible', 'origins', 'of', 'the', 'color', 'differences', 'intrinsic', 'variabilities', 'of', 'quasars', 'differential', 'dust', 'extinction', 'and', 'quasar', 'microlensing', 'we', 'examine', 'how', 'these', 'three', 'possible', 'scenarios', 'can', 'reproduce', 'the', 'observed', 'chromaticity', 'methodswe', 'evaluate', 'how', 'much', 'color', 'difference', 'between', 'multiple', 'images', 'can', 'be', 'reproduced', 'by', 'the', 'above', 'three', 'possible', 'scenarios', 'with', 'realistic', 'models', 'i', 'an', 'empirical', 'relation', 'for', 'intrinsic', 'variabilities', 'of', 'quasars', 'ii', 'empirical', 'relations', 'for', 'dust', 'extinction', 'and', 'theoretically', 'predicted', 'inhomogeneity', 'in', 'galaxies', 'or', 'iii', 'a', 'theoretical', 'model', 'for', 'quasar', 'accretion', 'disks', 'and', 'magnification', 'patterns', 'in', 'the', 'vicinity', 'of', 'caustics', 'resultswe', 'find', 'that', 'intrinsic', 'variabilities', 'of', 'quasars', 'can', 'not', 'be', 'a', 'dominant', 'source', 'responsible', 'for', 'observed', 'chromatic', 'features', 'in', 'multiple', 'quasars', 'in', 'contrast', 'either', 'dust', 'extinction', 'or', 'quasar', 'microlensing', 'can', 'nicely', 'reproduce', 'the', 'observed', 'color', 'differences', 'between', 'multiple', 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709.1528 | Multiwavelength Observations of the Powerful Gamma-ray Quasar PKS
1510-089: Clues on the Jet Composition | We present the results from a multiwavelength campaign of the powerful
Gamma-ray quasar PKS 1510-089. This campaign commenced with a deep Suzaku
observation lasting three days for a total exposure time of 120 ks, and
continued with Swift monitoring over 18 days. Besides Swift observations, the
campaign included ground-based optical and radio data, and yielded a
quasi-simultaneous broad-band spectral energy distribution from 10^9 Hz to
10^{19} Hz. The Suzaku observation provided a high S/N X-ray spectrum, which is
well represented by an extremely hard power-law with photon index Gamma ~ 1.2,
augmented by a soft component apparent below 1 keV, which is well described by
a black-body model with temperature kT ~ 0.2 keV. Monitoring by Suzaku revealed
temporal variability which is different between the low and high energy bands,
again suggesting the presence of a second, variable component in addition to
the primary power-law emission.We model the broadband spectrum of PKS 1510-089
assuming that the high energy spectral component results from Comptonization of
infrared radiation produced by hot dust located in the surrounding molecular
torus. In the adopted internal shock scenario, the derived model parameters
imply that the power of the jet is dominated by protons but with a number of
electrons/positrons exceeding a number of protons by a factor ~10. We also find
that inhomogeneities responsible for the shock formation, prior to the
collision may produce bulk-Compton radiation which can explain the observed
soft X-ray excess and possible excess at ~18 keV. We note, however, that the
bulk-Compton interpretation is not unique, and the observed soft excess could
arise as well via some other processes discussed briefly in the text.
| astro-ph | we present the results from a multiwavelength campaign of the powerful gammaray quasar pks 1510089 this campaign commenced with a deep suzaku observation lasting three days for a total exposure time of 120 ks and continued with swift monitoring over 18 days besides swift observations the campaign included groundbased optical and radio data and yielded a quasisimultaneous broadband spectral energy distribution from 109 hz to 1019 hz the suzaku observation provided a high sn xray spectrum which is well represented by an extremely hard powerlaw with photon index gamma 12 augmented by a soft component apparent below 1 kev which is well described by a blackbody model with temperature kt 02 kev monitoring by suzaku revealed temporal variability which is different between the low and high energy bands again suggesting the presence of a second variable component in addition to the primary powerlaw emissionwe model the broadband spectrum of pks 1510089 assuming that the high energy spectral component results from comptonization of infrared radiation produced by hot dust located in the surrounding molecular torus in the adopted internal shock scenario the derived model parameters imply that the power of the jet is dominated by protons but with a number of electronspositrons exceeding a number of protons by a factor 10 we also find that inhomogeneities responsible for the shock formation prior to the collision may produce bulkcompton radiation which can explain the observed soft xray excess and possible excess at 18 kev we note however that the bulkcompton interpretation is not unique and the observed soft excess could arise as well via some other processes discussed briefly in the text | [['we', 'present', 'the', 'results', 'from', 'a', 'multiwavelength', 'campaign', 'of', 'the', 'powerful', 'gammaray', 'quasar', 'pks', '1510089', 'this', 'campaign', 'commenced', 'with', 'a', 'deep', 'suzaku', 'observation', 'lasting', 'three', 'days', 'for', 'a', 'total', 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709.1529 | The Existence of Pure Free Resolutions | Let d1,...,dn be a strictly increasing sequence of integers. Boij and
S\"oderberg [arXiv:math/0611081] have conjectured the existence of a graded
module M of finite length over any polynomial ring K[x_1,..., x_n], whose
minimal free resolution is pure of type (d1,...,dn), in the sense that its i-th
syzygies are generated in degree di.
In this paper we prove a stronger statement, in characteristic zero: Such
modules not only exist, but can be taken to be GL(n)-equivariant. In fact, we
give two different equivariant constructions, and we construct pure resolutions
over exterior algebras and Z/2-graded algebras as well.
The constructions use the combinatorics of Schur functors and Bott's Theorem
on the direct images of equivariant vector bundles on Grassmann varieties.
| math.AC math.RT | let d1dn be a strictly increasing sequence of integers boij and soderberg arxivmath0611081 have conjectured the existence of a graded module m of finite length over any polynomial ring kx_1 x_n whose minimal free resolution is pure of type d1dn in the sense that its ith syzygies are generated in degree di in this paper we prove a stronger statement in characteristic zero such modules not only exist but can be taken to be glnequivariant in fact we give two different equivariant constructions and we construct pure resolutions over exterior algebras and z2graded algebras as well the constructions use the combinatorics of schur functors and botts theorem on the direct images of equivariant vector bundles on grassmann varieties | [['let', 'd1dn', 'be', 'a', 'strictly', 'increasing', 'sequence', 'of', 'integers', 'boij', 'and', 'soderberg', 'arxivmath0611081', 'have', 'conjectured', 'the', 'existence', 'of', 'a', 'graded', 'module', 'm', 'of', 'finite', 'length', 'over', 'any', 'polynomial', 'ring', 'kx_1', 'x_n', 'whose', 'minimal', 'free', 'resolution', 'is', 'pure', 'of', 'type', 'd1dn', 'in', 'the', 'sense', 'that', 'its', 'ith', 'syzygies', 'are', 'generated', 'in', 'degree', 'di', 'in', 'this', 'paper', 'we', 'prove', 'a', 'stronger', 'statement', 'in', 'characteristic', 'zero', 'such', 'modules', 'not', 'only', 'exist', 'but', 'can', 'be', 'taken', 'to', 'be', 'glnequivariant', 'in', 'fact', 'we', 'give', 'two', 'different', 'equivariant', 'constructions', 'and', 'we', 'construct', 'pure', 'resolutions', 'over', 'exterior', 'algebras', 'and', 'z2graded', 'algebras', 'as', 'well', 'the', 'constructions', 'use', 'the', 'combinatorics', 'of', 'schur', 'functors', 'and', 'botts', 'theorem', 'on', 'the', 'direct', 'images', 'of', 'equivariant', 'vector', 'bundles', 'on', 'grassmann', 'varieties']] | [-0.18766222131569266, 0.0863010297838819, -0.0808959156479033, 0.04802466796613053, -0.0746370142391115, -0.1725499065625563, -0.08182539458063905, 0.3557075437754719, -0.37393119653458134, -0.19153017509450906, 0.1104916976468654, -0.2086991847108788, -0.1301375796626273, 0.18845934712270832, -0.17546610706159027, -0.08112492012380819, 0.0481352705647352, 0.1032948998750694, -0.09307438496443067, -0.3228809414160838, 0.376662301708405, -0.030797314991982523, 0.20914142971180313, 0.04265891604346076, 0.12390967133544843, 0.02746591009934874, -0.029947495353489853, -0.0034772532720429203, -0.18003035017950184, 0.10796373032989275, 0.3353619970250548, 0.1012375823185338, 0.2072075463079831, -0.38584179237582966, -0.09961792235589471, 0.23846357377866903, 0.17140919220911568, 0.02082572384786449, 0.017369124358274826, -0.2301357928745187, 0.15676363770800986, -0.20012559137818212, -0.1341026538488733, -0.04308743428912733, 0.06173572390801845, 0.04219321919433577, -0.2566834058400178, -0.029375751764235788, 0.12667444497122216, 0.18042507427417787, -0.050793785674358605, -0.12213107259748013, -0.07869637590882025, 0.06469423699258059, -0.05403241490038406, 0.017275653187218205, 0.0741297103374739, -0.06924801799591239, -0.17464538280986935, 0.29596984696068, -0.0720855316572022, -0.24683911996289043, 0.13752787025224647, -0.18100653496660749, -0.1233590314646758, 0.12367307495636244, 0.039930703110273996, 0.18172997641458846, 0.022970586906906152, 0.19061872389028667, -0.16701417940407337, 0.0808387500593406, 0.1648996987159511, 0.05667004662181921, 0.16980300028604178, 0.03497031396418287, 0.04766881501066229, 0.10721475646214298, 0.028130152679391597, -0.014951786598223344, -0.34295761803361147, -0.20247117771865114, -0.1412201375218533, 0.1848582269465847, -0.11129213737864088, -0.17234425048401023, 0.3850664329682395, 0.09320240344427395, 0.17882440988921045, 0.14318145856898473, 0.2190745599861992, 0.06678434020917241, 0.0954579731527095, 0.020006174687296152, 0.10576573145379753, 0.25287938997937826, -0.005229085007796816, -0.08352923130140673, -0.006947518465223543, 0.20984033101009564] |
709.153 | Application of spectral methods for high-frequency financial data to
quantifying states of market participants | Empirical analysis of the foreign exchange market is conducted based on
methods to quantify similarities among multi-dimensional time series with
spectral distances introduced in [A.-H. Sato, Physica A, 382 (2007) 258--270].
As a result it is found that the similarities among currency pairs fluctuate
with the rotation of the earth, and that the similarities among best quotation
rates are associated with those among quotation frequencies. Furthermore it is
shown that the Jensen-Shannon spectral divergence is proportional to a mean of
the Kullback-Leibler spectral distance both empirically and numerically. It is
confirmed that these spectral distances are connected with distributions for
behavioral parameters of the market participants from numerical simulation.
This concludes that spectral distances of representative quantities of
financial markets are related into diversification of behavioral parameters of
the market participants.
| q-fin.ST physics.data-an physics.soc-ph | empirical analysis of the foreign exchange market is conducted based on methods to quantify similarities among multidimensional time series with spectral distances introduced in ah sato physica a 382 2007 258270 as a result it is found that the similarities among currency pairs fluctuate with the rotation of the earth and that the similarities among best quotation rates are associated with those among quotation frequencies furthermore it is shown that the jensenshannon spectral divergence is proportional to a mean of the kullbackleibler spectral distance both empirically and numerically it is confirmed that these spectral distances are connected with distributions for behavioral parameters of the market participants from numerical simulation this concludes that spectral distances of representative quantities of financial markets are related into diversification of behavioral parameters of the market participants | [['empirical', 'analysis', 'of', 'the', 'foreign', 'exchange', 'market', 'is', 'conducted', 'based', 'on', 'methods', 'to', 'quantify', 'similarities', 'among', 'multidimensional', 'time', 'series', 'with', 'spectral', 'distances', 'introduced', 'in', 'ah', 'sato', 'physica', 'a', '382', '2007', '258270', 'as', 'a', 'result', 'it', 'is', 'found', 'that', 'the', 'similarities', 'among', 'currency', 'pairs', 'fluctuate', 'with', 'the', 'rotation', 'of', 'the', 'earth', 'and', 'that', 'the', 'similarities', 'among', 'best', 'quotation', 'rates', 'are', 'associated', 'with', 'those', 'among', 'quotation', 'frequencies', 'furthermore', 'it', 'is', 'shown', 'that', 'the', 'jensenshannon', 'spectral', 'divergence', 'is', 'proportional', 'to', 'a', 'mean', 'of', 'the', 'kullbackleibler', 'spectral', 'distance', 'both', 'empirically', 'and', 'numerically', 'it', 'is', 'confirmed', 'that', 'these', 'spectral', 'distances', 'are', 'connected', 'with', 'distributions', 'for', 'behavioral', 'parameters', 'of', 'the', 'market', 'participants', 'from', 'numerical', 'simulation', 'this', 'concludes', 'that', 'spectral', 'distances', 'of', 'representative', 'quantities', 'of', 'financial', 'markets', 'are', 'related', 'into', 'diversification', 'of', 'behavioral', 'parameters', 'of', 'the', 'market', 'participants']] | [-0.08390610076469154, 0.06681873079460975, -0.12334329638486871, 0.12341595546055872, -0.05977529298621588, -0.12143211881451021, 0.0695827272362434, 0.43997661614647277, -0.26751191555164183, -0.2915548318423904, 0.06262213785935623, -0.3567787431538678, -0.16522963341647903, 0.21386798701893825, -0.079052077104839, 0.016463772902408472, 0.0585651566220734, 0.034362706233962224, -0.01727096999171548, -0.2730285987831079, 0.308170408436742, 0.07817898705744973, 0.2943105007736729, 0.01035409210733353, 0.07384064197898484, -0.05846236146126802, -0.09437064193189144, 0.03067582961028585, -0.12416837189952136, 0.16717428645262353, 0.26330447647935495, 0.13778327990753148, 0.2928895356957443, -0.3161320799675125, -0.18091651032177303, 0.11381668204692408, 0.04102139544243423, -0.012237282555836898, 0.01652650306126676, -0.2705840631477678, 0.05273784616102393, -0.19691525946299618, -0.06915008587977634, -0.07396821365333521, 0.08318572061566207, 0.11250739465825833, -0.2626814049292499, 0.12250932041519823, 0.011723217626030628, 0.08859051497151646, -0.0462058017281099, -0.1491220133164181, -0.061025886196428195, 0.16668642376764461, 0.1421750511038296, -0.041982273259558354, 0.08728700396246634, -0.0441770439949603, -0.16223250234033912, 0.35006618295223096, -0.039011879465900935, -0.13346051905805675, 0.20031856581604537, -0.11854096754776457, -0.0840015291272161, 0.09606725125072094, 0.1475766523812826, 0.06927302663859267, -0.2073034490422847, 0.03524071604568654, -0.05146371377632022, 0.171078421934866, 0.08667500955052673, 0.01428491586031249, 0.17026525068616208, 0.11663952111982956, 0.03132503447481073, 0.09836580055729988, -0.08582398041841001, -0.1815641561200699, -0.25927012594989857, -0.11525412070779846, -0.21566614186964356, 0.019323135630335084, -0.14828566495450035, -0.13802074082262922, 0.3797489586429527, 0.16037706135091587, 0.18108427497522475, 0.06414263772849853, 0.23724738826008085, 0.0791661444433535, 0.06098692212970211, 0.09381089127765825, 0.22872043209007153, 0.09402230728704196, 0.10487253127547984, -0.23744196149054914, 0.12097154983068602, 0.025776056175191814] |
709.1531 | Scaling analysis of FLIC fermion actions | The Fat Link Irrelevant Clover (FLIC) fermion action is a variant of the
$O(a)$-improved Wilson action where the irrelevant operators are constructed
using smeared links. While the use of such smearing allows for the use of
highly improved definitions of the field strength tensor $F_{\mu\nu},$ we show
that the standard 1-loop clover term with a mean field improved coefficient
$c_{\rm sw}$ is sufficient to remove the $O(a)$ errors, avoiding the need for
non-perturbative tuning. This result enables efficient dynamical simulations in
QCD with the FLIC fermion action.
| hep-lat | the fat link irrelevant clover flic fermion action is a variant of the oaimproved wilson action where the irrelevant operators are constructed using smeared links while the use of such smearing allows for the use of highly improved definitions of the field strength tensor f_munu we show that the standard 1loop clover term with a mean field improved coefficient c_rm sw is sufficient to remove the oa errors avoiding the need for nonperturbative tuning this result enables efficient dynamical simulations in qcd with the flic fermion action | [['the', 'fat', 'link', 'irrelevant', 'clover', 'flic', 'fermion', 'action', 'is', 'a', 'variant', 'of', 'the', 'oaimproved', 'wilson', 'action', 'where', 'the', 'irrelevant', 'operators', 'are', 'constructed', 'using', 'smeared', 'links', 'while', 'the', 'use', 'of', 'such', 'smearing', 'allows', 'for', 'the', 'use', 'of', 'highly', 'improved', 'definitions', 'of', 'the', 'field', 'strength', 'tensor', 'f_munu', 'we', 'show', 'that', 'the', 'standard', '1loop', 'clover', 'term', 'with', 'a', 'mean', 'field', 'improved', 'coefficient', 'c_rm', 'sw', 'is', 'sufficient', 'to', 'remove', 'the', 'oa', 'errors', 'avoiding', 'the', 'need', 'for', 'nonperturbative', 'tuning', 'this', 'result', 'enables', 'efficient', 'dynamical', 'simulations', 'in', 'qcd', 'with', 'the', 'flic', 'fermion', 'action']] | [-0.1465883462679112, 0.2189866403631609, -0.07310139495429807, 0.0776740792220801, -0.0783190453376878, -0.14969929975013238, 0.039262870160712934, 0.37834785878658295, -0.17547726708239522, -0.2610213325155535, 0.07266836830591462, -0.2791995639116945, -0.13950845070354556, 0.11306344517024941, -0.038400093987370015, 0.0703121493838128, 0.10139413092328214, 0.03899921254313754, -0.13568301596036503, -0.2447943714990591, 0.3400116155630556, 0.07634761445117237, 0.2562142902685479, 0.1329655734134367, 0.08698120886652634, 0.06002064244741381, -0.11379611812499833, -0.002866255387064369, -0.046466647923389455, 0.09088044320286691, 0.11558124759962418, -0.014558515607796866, 0.1833884470892706, -0.345278891124602, -0.22900342153406691, 0.08277953804695401, 0.14684294930113287, 0.08943898409294586, 0.0164863348392577, -0.2755018689766012, 0.09711791965414653, -0.21362278257207623, -0.16469789651789885, -0.14746575919247565, -0.08666748783401289, -0.08496501784967045, -0.38687186213691943, 0.07898295295810134, -0.05045482514850292, 0.06010366773136474, 0.0325322176922573, -0.13876010557294063, -0.003404528807163581, 0.16662913711404365, 0.08774396165905671, 0.10837013296376186, 0.12741579327882194, -0.2150899704155009, -0.10091659120530233, 0.40385074358990136, -0.14575205622749382, -0.2543292635752038, 0.14262180783834053, -0.05038076549254615, -0.11519798216270818, 0.10850137417449217, 0.08607022176582324, 0.10309267992517729, -0.17384415456018915, 0.14969276886262084, -0.02711313307799142, 0.1828954286402327, 0.08830508657720411, 0.01877837034809435, 0.1622694705281107, 0.10064221280038185, 0.058129513363257564, 0.12808304406895205, -0.04853565850423585, -0.0904333380361398, -0.32811908463508577, -0.08735962817445397, -0.11094461476441002, 0.07390371057600982, -0.1761576539151713, -0.21153581478959485, 0.38099724700374676, 0.22567213185388466, 0.13964595365801014, 0.049481888976076555, 0.27325674097706704, 0.11891814969659344, 0.15396389883578937, 0.07189339430381854, 0.18163719507812084, 0.10922772442151246, 0.06882961747643335, -0.323552010477194, -0.0851160959265698, 0.19259827024699455] |
709.1532 | Asymptotic Spectroscopy of Rotating Black Holes | We calculate analytically the transmission and reflection amplitudes for
waves incident on a rotating black hole in d=4, analytically continued to
asymptotically large, nearly imaginary frequency. These amplitudes determine
the asymptotic resonant frequencies of the black hole, including quasinormal
modes, total-transmission modes and total-reflection modes. We identify these
modes with semiclassical bound states of a one-dimensional Schrodinger
equation, localized along contours in the complexified r-plane which connect
turning points of corresponding null geodesics. Each family of modes has a
characteristic temperature and chemical potential. The relations between them
provide hints about the microscopic description of the black hole in this
asymptotic regime.
| hep-th astro-ph gr-qc | we calculate analytically the transmission and reflection amplitudes for waves incident on a rotating black hole in d4 analytically continued to asymptotically large nearly imaginary frequency these amplitudes determine the asymptotic resonant frequencies of the black hole including quasinormal modes totaltransmission modes and totalreflection modes we identify these modes with semiclassical bound states of a onedimensional schrodinger equation localized along contours in the complexified rplane which connect turning points of corresponding null geodesics each family of modes has a characteristic temperature and chemical potential the relations between them provide hints about the microscopic description of the black hole in this asymptotic regime | [['we', 'calculate', 'analytically', 'the', 'transmission', 'and', 'reflection', 'amplitudes', 'for', 'waves', 'incident', 'on', 'a', 'rotating', 'black', 'hole', 'in', 'd4', 'analytically', 'continued', 'to', 'asymptotically', 'large', 'nearly', 'imaginary', 'frequency', 'these', 'amplitudes', 'determine', 'the', 'asymptotic', 'resonant', 'frequencies', 'of', 'the', 'black', 'hole', 'including', 'quasinormal', 'modes', 'totaltransmission', 'modes', 'and', 'totalreflection', 'modes', 'we', 'identify', 'these', 'modes', 'with', 'semiclassical', 'bound', 'states', 'of', 'a', 'onedimensional', 'schrodinger', 'equation', 'localized', 'along', 'contours', 'in', 'the', 'complexified', 'rplane', 'which', 'connect', 'turning', 'points', 'of', 'corresponding', 'null', 'geodesics', 'each', 'family', 'of', 'modes', 'has', 'a', 'characteristic', 'temperature', 'and', 'chemical', 'potential', 'the', 'relations', 'between', 'them', 'provide', 'hints', 'about', 'the', 'microscopic', 'description', 'of', 'the', 'black', 'hole', 'in', 'this', 'asymptotic', 'regime']] | [-0.22277640390629863, 0.16110095454211, -0.0902422229193297, 0.08033930037659136, -0.08320490201916911, -0.14769915342970075, 0.08697774737169418, 0.30263037049193303, -0.16505272232233456, -0.2134164315739683, 0.03754107081491098, -0.3392320044188048, -0.12152097692402701, 0.19279118331477924, 0.04583074348777825, 0.06203576786370546, 0.005552200924641653, 0.042446808020102644, -0.06372033585976883, -0.1319931858668889, 0.32839821513705686, 0.019799808998975682, 0.273572876035948, -0.011449447084291308, 0.05369782970999094, 0.01733142978913498, 0.03551755783458551, -0.03396054278310461, -0.2029577496680705, 0.05696134293604843, 0.26390957506373525, 0.038791873076857594, 0.1620582144150474, -0.4333465483916156, -0.19299683398475834, 0.058925669443994466, 0.23541631695401272, 0.17172368268103466, -0.017034287414942666, -0.2628004879635923, 0.01845939509917562, -0.12777940118023395, -0.25279575896759826, -0.06386484180157091, 0.08236699602931884, -0.026127318746647706, -0.19993356852244368, 0.10761755032866609, 0.03569294418683093, -0.005952914729349169, -0.12472198872973084, -0.045884992050773954, -0.08786583453298126, 0.08548900128031771, 0.11842909615334779, -0.054688634425082115, 0.11524844510645113, -0.06816227599412349, -0.09935011259649935, 0.28870363476259325, -0.05014616047379141, -0.20246896640781095, 0.16669576753880463, -0.26842061206972334, -0.0492506570127957, 0.14154531518179997, 0.17360491590008287, 0.16458433539624892, -0.12407119993597507, 0.1221669524817901, 0.023253928920181067, 0.1218122985900503, 0.21109722959169863, 0.08957357359045715, 0.36062506138913186, 0.05464944010086851, -0.015584530409279406, 0.14997265458691353, -0.06730906439827546, -0.058255008841846506, -0.3214780927690513, -0.11993468039059628, -0.14492799326156577, 0.06663379247994254, -0.16364866109549492, -0.22605914429889298, 0.4277392768246286, 0.060705359751819725, 0.1938804473645766, 0.06347850822117727, 0.23183666766785524, 0.17632978276221775, 0.0065039094930112945, 0.1275754272481244, 0.3104989647171369, 0.18657115992049084, 0.07183402763250485, -0.2977820824576067, -0.11022441776231955, 0.07168504157030553] |
709.1533 | Bright continuous-variable entanglement from the quantum optical dimer | We show theoretically that two evanescently coupled $\chi^{(2)}$ second
harmonic generators inside a Fabry-Perot cavity provide a tunable source of
quadrature squeezed light, Einstein-Podolsky-Rosen correlations and quantum
entanglement. Unlike systems using coupled downconverters, second harmonic
generation has no oscillation threshhold, so that the entangled fields become
macroscopically occupied as soon as the pumping fields are turned on. This
system also gives two frequencies at which the entangled fields can have
macroscopic intensity. We show how the entanglement properties can be
controlled by adjusting the pumping, the coupling strengths and the cavity
detunings.
| quant-ph | we show theoretically that two evanescently coupled chi2 second harmonic generators inside a fabryperot cavity provide a tunable source of quadrature squeezed light einsteinpodolskyrosen correlations and quantum entanglement unlike systems using coupled downconverters second harmonic generation has no oscillation threshhold so that the entangled fields become macroscopically occupied as soon as the pumping fields are turned on this system also gives two frequencies at which the entangled fields can have macroscopic intensity we show how the entanglement properties can be controlled by adjusting the pumping the coupling strengths and the cavity detunings | [['we', 'show', 'theoretically', 'that', 'two', 'evanescently', 'coupled', 'chi2', 'second', 'harmonic', 'generators', 'inside', 'a', 'fabryperot', 'cavity', 'provide', 'a', 'tunable', 'source', 'of', 'quadrature', 'squeezed', 'light', 'einsteinpodolskyrosen', 'correlations', 'and', 'quantum', 'entanglement', 'unlike', 'systems', 'using', 'coupled', 'downconverters', 'second', 'harmonic', 'generation', 'has', 'no', 'oscillation', 'threshhold', 'so', 'that', 'the', 'entangled', 'fields', 'become', 'macroscopically', 'occupied', 'as', 'soon', 'as', 'the', 'pumping', 'fields', 'are', 'turned', 'on', 'this', 'system', 'also', 'gives', 'two', 'frequencies', 'at', 'which', 'the', 'entangled', 'fields', 'can', 'have', 'macroscopic', 'intensity', 'we', 'show', 'how', 'the', 'entanglement', 'properties', 'can', 'be', 'controlled', 'by', 'adjusting', 'the', 'pumping', 'the', 'coupling', 'strengths', 'and', 'the', 'cavity', 'detunings']] | [-0.1789207995271958, 0.29234900095743005, -0.07023381372488549, 0.02729186130581302, -0.004146909665154374, -0.23057301803087088, 0.00015075128201557243, 0.42451359736530675, -0.23963100198939766, -0.2471372834811716, 0.03041944012005368, -0.2780856665517406, -0.09116994069747465, 0.24945916105871616, 0.03780555674482299, 0.032972564914456125, 0.04922837109062011, 2.4906729421396133e-05, 0.02744870964417477, -0.20046373557947253, 0.3004713697642412, 0.00729401181477284, 0.32065200866402493, 0.023240175391749843, 0.11954828104226971, -0.026135543333467744, 0.10379903676474224, -0.005542475274642525, -0.06269917881661019, 0.07319625560194254, 0.2146572951789257, 0.02452935974376843, 0.2587637322064003, -0.41615228241552477, -0.19138342579927944, 0.10040003401429756, 0.18276534689610582, 0.2008790450826105, -0.04117997069138453, -0.31046227045843133, -0.09239660826025774, -0.14457318698987365, -0.1186344728693771, -0.13275224192108473, -0.03360345129065378, 0.047723444796207805, -0.2707357648557619, 0.05779131389262266, 0.023088205422264644, 0.05171520852119378, 0.03298365129866516, -0.011095315281399171, -0.0742533536243212, 0.08584099040245233, -0.06923021122043871, -0.00992295613674366, 0.16341101727385135, -0.10948001423030687, -0.14097253007956012, 0.32312943771198066, -0.12224041522510917, -0.2009012755209013, 0.14479664790079647, -0.15391970561240273, -0.0426563673865293, 0.08650832771546328, 0.13791347336550447, 0.07568813674151897, -0.11708694899393975, 0.020011310798429844, -0.015793330653611083, 0.24419683726180508, 0.1660923465286665, 0.1552711831666428, 0.2780278114925908, 0.08410943891352002, 0.054543237978815225, 0.23782330285441433, -0.09766031404749652, -0.08391624630388358, -0.3137889721572561, -0.11230529441356497, -0.23942840459209908, 0.0761513129868747, -0.04648298741306897, -0.11436355800833553, 0.4256025143271393, 0.1363501112361479, 0.10900112251629648, -0.03023246534639443, 0.3001831908831778, 0.17415039040117888, 0.09689755329821745, 0.029231428968436692, 0.38521397154292336, 0.19196200171364067, 0.08086180333149336, -0.2837182441175885, -0.04140288807431479, -0.010275133126212851] |
709.1534 | Rigidity and percolation of center vortices | Effective action of center vortices in SU(2) lattice gauge theory is
investigated by studying the correlation between the action density on their
worldsheets and their geometric properties. It turns out that center vortices
are rigid, however, their dynamics is more complicated than that of rigid
random surfaces, since some coupling constants have nonstandard scaling
dimensions. As a result, the properties of center vortices are almost
completely determined by curvature-dependent effects. This, in turn, provides a
qualitative explanation of vortex percolation.
| hep-lat | effective action of center vortices in su2 lattice gauge theory is investigated by studying the correlation between the action density on their worldsheets and their geometric properties it turns out that center vortices are rigid however their dynamics is more complicated than that of rigid random surfaces since some coupling constants have nonstandard scaling dimensions as a result the properties of center vortices are almost completely determined by curvaturedependent effects this in turn provides a qualitative explanation of vortex percolation | [['effective', 'action', 'of', 'center', 'vortices', 'in', 'su2', 'lattice', 'gauge', 'theory', 'is', 'investigated', 'by', 'studying', 'the', 'correlation', 'between', 'the', 'action', 'density', 'on', 'their', 'worldsheets', 'and', 'their', 'geometric', 'properties', 'it', 'turns', 'out', 'that', 'center', 'vortices', 'are', 'rigid', 'however', 'their', 'dynamics', 'is', 'more', 'complicated', 'than', 'that', 'of', 'rigid', 'random', 'surfaces', 'since', 'some', 'coupling', 'constants', 'have', 'nonstandard', 'scaling', 'dimensions', 'as', 'a', 'result', 'the', 'properties', 'of', 'center', 'vortices', 'are', 'almost', 'completely', 'determined', 'by', 'curvaturedependent', 'effects', 'this', 'in', 'turn', 'provides', 'a', 'qualitative', 'explanation', 'of', 'vortex', 'percolation']] | [-0.18225814024772263, 0.2157185399904847, -0.13179998269770293, 0.09116246487974422, -0.061026140209287406, -0.1275228394777514, 0.020293079513066914, 0.40071047807578, -0.2303756543667987, -0.24488601725315676, 0.07867506462789606, -0.252769524618634, -0.17616356031503527, 0.15134497431572527, -0.013632028202118817, 0.012070147763006389, 0.015493896708358079, 0.0459062377398368, -0.07078432739072013, -0.23935958898509851, 0.31563480031327346, 0.0378373408515472, 0.3002305339294253, 0.060398450477805454, 0.051997692143777384, -0.005927520745899528, -0.016792331991018726, 0.05396080507198349, -0.1354473648892963, 0.12147913818189408, 0.18007044462574412, -0.023169060464715584, 0.17899601585231723, -0.44237179355113765, -0.23044857099885122, 0.06679039510781877, 0.15525054945610464, 0.12221442541340366, -0.029503790137277976, -0.26816828903392886, 0.07352173476829194, -0.1112944837543182, -0.19217727506329538, -0.10566819771192967, 0.08334637022344396, 0.00035903995594708247, -0.1678628206573194, 0.08854826591377787, 0.08449146043858491, 0.10749230138026178, -0.04592616009176709, -0.07414222522056661, -0.08815113183518405, 0.11991079907747917, 0.0962678276875522, 0.023361413503880612, 0.17177491763141006, -0.19099157217133325, -0.10027606036674115, 0.42680182012263684, -0.007217444058369438, -0.22951419141136284, 0.19295707724813838, -0.13886543987318872, -0.1070098816533573, 0.13773702528560533, 0.09518715982558205, 0.11917617998551577, -0.15152990357601084, 0.12869253095632302, -0.07860645330074476, 0.10421525046695024, 0.10114543811650947, 0.04536997858667746, 0.2738084428710863, 0.12825829946086742, 0.08513857506623027, 0.10599926806171425, -0.009197839381522499, -0.19198508774861694, -0.2891514411661774, -0.07584680359286722, -0.15094068494217935, 0.099786415474955, -0.10388701184983802, -0.16085864275228232, 0.33443550548981876, 0.09967245956067927, 0.2151470843815332, 0.01077433699683752, 0.20125916339457034, 0.09215349366349983, 0.08875683808873873, 0.02127731719519943, 0.2656165191398031, 0.18972104145796037, 0.0324693511123769, -0.23454112083127257, -0.010971697786590084, 0.13522198266291524] |
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