id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
|---|---|---|---|---|---|---|
710.1053 | Extensions for supersingular representations of $GL_2(Q_p)$ | Let $p>2$ be a prime number. Let $G:=GL_2(Q_p)$ and $\pi$, $\tau$ smooth
irreducible representations of $G$ on $\bar{F}_p$-vector spaces with a central
character. We show if $\pi$ is supersingular then $Ext^1_G(\tau,\pi)\neq 0$
implies $\tau\cong \pi$. This answers affirmatively for $p>2$ a question of
Colmez. We also determine $Ext^1_G(\tau,\pi)$, when $\pi$ is the Steinberg
representation. As a consequence of our results combined with those already in
the literature one knows $Ext^1_G(\tau,\pi)$ for all irreducible
representations of $G$.
| math.RT math.NT | let p2 be a prime number let ggl_2q_p and pi tau smooth irreducible representations of g on barf_pvector spaces with a central character we show if pi is supersingular then ext1_gtaupineq 0 implies taucong pi this answers affirmatively for p2 a question of colmez we also determine ext1_gtaupi when pi is the steinberg representation as a consequence of our results combined with those already in the literature one knows ext1_gtaupi for all irreducible representations of g | [['let', 'p2', 'be', 'a', 'prime', 'number', 'let', 'ggl_2q_p', 'and', 'pi', 'tau', 'smooth', 'irreducible', 'representations', 'of', 'g', 'on', 'barf_pvector', 'spaces', 'with', 'a', 'central', 'character', 'we', 'show', 'if', 'pi', 'is', 'supersingular', 'then', 'ext1_gtaupineq', '0', 'implies', 'taucong', 'pi', 'this', 'answers', 'affirmatively', 'for', 'p2', 'a', 'question', 'of', 'colmez', 'we', 'also', 'determine', 'ext1_gtaupi', 'when', 'pi', 'is', 'the', 'steinberg', 'representation', 'as', 'a', 'consequence', 'of', 'our', 'results', 'combined', 'with', 'those', 'already', 'in', 'the', 'literature', 'one', 'knows', 'ext1_gtaupi', 'for', 'all', 'irreducible', 'representations', 'of', 'g']] | [-0.16833636909723282, 0.10662271520788116, -0.14549193674964564, 0.03005999966823895, -0.11479198931982475, -0.17990394384999361, 0.001711145815040384, 0.32260716389864685, -0.3186448692743267, -0.19848395558074117, 0.029143234946033252, -0.2850690195070846, -0.12424645093934876, 0.22813760388110366, -0.1216499201687319, -0.0583717009485034, 0.08827549585008196, 0.17731398469103235, -0.062070048420823046, -0.29853963760126917, 0.3563679308763572, -0.10471311494308923, 0.1438312298618257, 0.049226738805217406, 0.04961348880481507, 0.06553387998470238, 0.02483025850462062, -0.07668814689054021, -0.15620995637561594, 0.08887746450907019, 0.38066072139356816, 0.058314076376492656, 0.2381410080739962, -0.3100797770012702, -0.11883437912911177, 0.2623479104733893, 0.18416825092530675, -0.014797731153001743, 0.0136100532403881, -0.27320492789149287, 0.20391094565524587, -0.15901152359853898, -0.125599178259394, -0.07644810052588583, 0.14460229514432804, -0.03941977145815534, -0.30709761045873163, -0.03078350314047254, 0.11929450385006411, 0.1308744781983218, -0.06522587364140366, -0.1928499101794192, -0.01754424160545958, 0.09345199411078024, 0.008772732716585909, 0.14132031737161535, 0.013771953834553383, -0.12067504144340221, -0.11619563394758319, 0.37996440191886255, -0.07018676702864468, -0.23792591228016785, 0.10955811934545637, -0.21197204986321075, -0.1707265393326192, 0.12330621649910296, 0.07391677287274173, 0.12178465265647641, 0.036187951854455086, 0.19051590674872776, -0.1863425755075046, 0.12157376965707434, 0.09320551380515099, -0.05054095877068383, 0.11256580310208457, 0.08572274982995753, 0.049214003010586434, 0.11982098659001557, 0.009142272723173457, 0.12044659021859323, -0.36433791571429797, -0.17132172831999404, -0.15334300375709842, 0.1847453425970993, -0.0613639812182685, -0.059657139051705596, 0.3713678596674332, 0.04819752689717072, 0.23619381993942495, 0.14730494098205651, 0.22763803199465785, 0.0692005502525717, -0.01249938992384289, 0.12380197950239692, 0.0576042024950896, 0.22445073329976628, -0.08835149981480624, -0.13964333774721516, 0.03398706732384328, 0.16153745812230877] |
710.1054 | Lower dimensional Yang-Mills theory as a laboratory to study the
infrared regime | Lattice studies of the infrared regime of gauge theories are complicated by
the required extensive limits, the performed gauge fixing and the demand for
high statistics. Using a general power counting scheme for the infrared limit
of Landau gauge SU(N) Yang-Mills theory in arbitrary dimensions we show that
the infrared behavior of Greens functions is both qualitatively and
quantitatively similar in two, three and four spacetime dimensions. Therefore,
lower dimensional lattice simulations can serve as a simplified laboratory to
analyze the presently applied approximations and to obtain first results for
higher correlation functions.
| hep-ph hep-lat | lattice studies of the infrared regime of gauge theories are complicated by the required extensive limits the performed gauge fixing and the demand for high statistics using a general power counting scheme for the infrared limit of landau gauge sun yangmills theory in arbitrary dimensions we show that the infrared behavior of greens functions is both qualitatively and quantitatively similar in two three and four spacetime dimensions therefore lower dimensional lattice simulations can serve as a simplified laboratory to analyze the presently applied approximations and to obtain first results for higher correlation functions | [['lattice', 'studies', 'of', 'the', 'infrared', 'regime', 'of', 'gauge', 'theories', 'are', 'complicated', 'by', 'the', 'required', 'extensive', 'limits', 'the', 'performed', 'gauge', 'fixing', 'and', 'the', 'demand', 'for', 'high', 'statistics', 'using', 'a', 'general', 'power', 'counting', 'scheme', 'for', 'the', 'infrared', 'limit', 'of', 'landau', 'gauge', 'sun', 'yangmills', 'theory', 'in', 'arbitrary', 'dimensions', 'we', 'show', 'that', 'the', 'infrared', 'behavior', 'of', 'greens', 'functions', 'is', 'both', 'qualitatively', 'and', 'quantitatively', 'similar', 'in', 'two', 'three', 'and', 'four', 'spacetime', 'dimensions', 'therefore', 'lower', 'dimensional', 'lattice', 'simulations', 'can', 'serve', 'as', 'a', 'simplified', 'laboratory', 'to', 'analyze', 'the', 'presently', 'applied', 'approximations', 'and', 'to', 'obtain', 'first', 'results', 'for', 'higher', 'correlation', 'functions']] | [-0.08957919254598598, 0.15858669728491334, -0.10899787076691951, 0.12886703432091984, -0.019264434374147845, -0.1091605016701324, 0.03214103545648076, 0.3662174739624544, -0.13904356093256062, -0.29419845425754143, 0.08823822743274391, -0.2412640442170443, -0.16078266500925986, 0.19240080805805823, 0.014824354194945866, 0.09791096676421422, -0.0019202255481173113, -0.0035718249755420832, -0.08595303046987743, -0.27906774695441927, 0.2983698717153241, 0.044043131683382294, 0.321537126476566, 0.06911010988136773, 0.0791923821082599, 0.002663539006545018, -0.04943021008324239, 0.05866985583943265, -0.12234131697984976, 0.0970469742928261, 0.240731975511818, 0.02616297236333291, 0.17498327019218837, -0.4462269409409454, -0.24131728160966148, 0.029614525827734422, 0.1532339801040468, 0.10857649277194693, -0.004605834777917593, -0.22522125821760905, 0.05649947889790099, -0.1609449759826705, -0.17074385340330542, -0.11939657925658169, -0.04299847208844718, -0.018997352272372252, -0.3195517428059091, 0.06243328934395185, -0.035680882732874605, 0.08676676961132676, -0.05873454142341851, -0.10396132989591288, -0.02268716311633026, 0.13561818703773723, 0.06330129249592222, 0.025334568073352177, 0.09541431541544615, -0.19099664214539394, -0.1509170832671976, 0.4124633912397649, -0.09026703535909614, -0.2249256163004345, 0.23973933489172047, -0.1927804018230608, -0.16437354739454965, 0.1109351316486956, 0.13705558534611456, 0.14403936397083986, -0.146909408872166, 0.13853090697829362, -0.03896788098118318, 0.13579017974396226, 0.08495303947648775, 0.06882962343465757, 0.18937891165936185, 0.10346526521388241, 0.024684676610093603, 0.13855910704030544, -0.0538898961949012, -0.10370633281987682, -0.33618928991778885, -0.10066600499163952, -0.17082188606903118, 0.05369333558846065, -0.12384627236150986, -0.12254056891286245, 0.35836527565560994, 0.16496549520869389, 0.1431956978574876, 0.07619719068589871, 0.2809071441892014, 0.16038274393361862, 0.039078253554180264, 0.02321531807362873, 0.24227081691365568, 0.10800245682889174, 0.07492428436194376, -0.22953483889440215, -0.10970398834756305, 0.12978441588660722] |
710.1055 | Optimal Controlled Teleportation | We give the analytic expressions of maximal probabilities of successfully
controlled teleportating an unknown qubit via every kind of tripartite states.
Besides, another kind of localizable entanglement is also determined.
Furthermore, we give the sufficient and necessary condition that a three-qubit
state can be collapsed to an EPR pair by a measurement on one qubit, and
characterize the three-qubit states that can be used as quantum channel for
controlled teleporting a qubit of unknown information with unit probability and
with unit fidelity.
| quant-ph | we give the analytic expressions of maximal probabilities of successfully controlled teleportating an unknown qubit via every kind of tripartite states besides another kind of localizable entanglement is also determined furthermore we give the sufficient and necessary condition that a threequbit state can be collapsed to an epr pair by a measurement on one qubit and characterize the threequbit states that can be used as quantum channel for controlled teleporting a qubit of unknown information with unit probability and with unit fidelity | [['we', 'give', 'the', 'analytic', 'expressions', 'of', 'maximal', 'probabilities', 'of', 'successfully', 'controlled', 'teleportating', 'an', 'unknown', 'qubit', 'via', 'every', 'kind', 'of', 'tripartite', 'states', 'besides', 'another', 'kind', 'of', 'localizable', 'entanglement', 'is', 'also', 'determined', 'furthermore', 'we', 'give', 'the', 'sufficient', 'and', 'necessary', 'condition', 'that', 'a', 'threequbit', 'state', 'can', 'be', 'collapsed', 'to', 'an', 'epr', 'pair', 'by', 'a', 'measurement', 'on', 'one', 'qubit', 'and', 'characterize', 'the', 'threequbit', 'states', 'that', 'can', 'be', 'used', 'as', 'quantum', 'channel', 'for', 'controlled', 'teleporting', 'a', 'qubit', 'of', 'unknown', 'information', 'with', 'unit', 'probability', 'and', 'with', 'unit', 'fidelity']] | [-0.142675222306535, 0.21253341591736677, -0.044071150977709674, 0.04374981454215807, 0.0024159988530389055, -0.26997985700486093, 0.10512268777209811, 0.37525884957030053, -0.22713316762365582, -0.23783272240174616, 0.09082989879633958, -0.21255995521730767, -0.0958113761380224, 0.21177432184084888, -0.06111453921057102, 0.10874399081690282, 0.08374341930512612, 0.11745124711745941, -0.08136003242419441, -0.2521541272630779, 0.3411566212137298, 0.014697080505046449, 0.239218156307754, 0.05665357956072179, 0.15473220429224213, 0.018195024129321297, 0.08944854547735304, -0.0259635236295985, -0.1547887649157485, 0.07746629383721639, 0.2788548849114194, 0.18378331752425833, 0.21704903590243038, -0.4224720620702833, -0.13831616558770582, 0.1568559798661892, 0.11003836948515439, 0.16898390963934817, -0.022787268269273294, -0.3602726888365862, 0.051749738089444976, -0.19502022689798984, -0.09772702400777035, -0.13882393866959142, -0.014255405437746426, -0.057888706129544026, -0.31995829237943013, 0.07507853336857984, 0.06967139965570646, 0.006691838830436875, -0.018368443059621424, 0.004369962120019808, -0.015163644728046365, 0.16623474986337852, -0.12713377280501512, 0.004246677565899473, 0.13147426307380267, -0.07161498623729752, -0.19168437479018438, 0.2739740520823611, -0.04473620546958977, -0.2721280983273684, 0.11017327434908622, -0.11519049436830711, -0.08108120521803092, 0.05402400352560529, 0.09432247595395893, 0.08734858411409688, -0.18748454421349778, 0.006890534920896199, -0.06335284300829942, 0.22711731591148349, 0.07521738670198475, 0.14850708535054652, 0.15029306682650137, 0.027296554121166106, 0.13399518437956165, 0.2670653385149951, -0.06953622651479502, -0.0827924935487894, -0.3535611417894138, -0.23837877462459048, -0.29009608074840976, 0.1287245829589665, -0.056169978001690185, -0.11026277627069049, 0.4243824258673845, 0.053445696183366746, 0.1904097231411625, -0.010730791087375909, 0.2408366236756215, 0.13631459731089018, 0.02878952609579556, 0.06064011188360249, 0.18647722291146837, 0.19746825501334103, -0.01546921014853912, -0.22727801146485457, 0.12952669061970237, 0.016829564003273845] |
710.1056 | Entanglement of multiparty stabilizer, symmetric, and antisymmetric
states | We study various distance-like entanglement measures of multipartite states
under certain symmetries. Using group averaging techniques we provide
conditions under which the relative entropy of entanglement, the geometric
measure of entanglement and the logarithmic robustness are equivalent. We
consider important classes of multiparty states, and in particular show that
these measures are equivalent for all stabilizer states, symmetric basis and
antisymmetric basis states. We rigorously prove a conjecture that the closest
product state of permutation symmetric states can always be chosen to be
permutation symmetric. This allows us to calculate the explicit values of
various entanglement measures for symmetric and antisymmetric basis states,
observing that antisymmetric states are generally more entangled. We use these
results to obtain a variety of interesting ensembles of quantum states for
which the optimal LOCC discrimination probability may be explicitly determined
and achieved. We also discuss applications to the construction of optimal
entanglement witnesses.
| quant-ph | we study various distancelike entanglement measures of multipartite states under certain symmetries using group averaging techniques we provide conditions under which the relative entropy of entanglement the geometric measure of entanglement and the logarithmic robustness are equivalent we consider important classes of multiparty states and in particular show that these measures are equivalent for all stabilizer states symmetric basis and antisymmetric basis states we rigorously prove a conjecture that the closest product state of permutation symmetric states can always be chosen to be permutation symmetric this allows us to calculate the explicit values of various entanglement measures for symmetric and antisymmetric basis states observing that antisymmetric states are generally more entangled we use these results to obtain a variety of interesting ensembles of quantum states for which the optimal locc discrimination probability may be explicitly determined and achieved we also discuss applications to the construction of optimal entanglement witnesses | [['we', 'study', 'various', 'distancelike', 'entanglement', 'measures', 'of', 'multipartite', 'states', 'under', 'certain', 'symmetries', 'using', 'group', 'averaging', 'techniques', 'we', 'provide', 'conditions', 'under', 'which', 'the', 'relative', 'entropy', 'of', 'entanglement', 'the', 'geometric', 'measure', 'of', 'entanglement', 'and', 'the', 'logarithmic', 'robustness', 'are', 'equivalent', 'we', 'consider', 'important', 'classes', 'of', 'multiparty', 'states', 'and', 'in', 'particular', 'show', 'that', 'these', 'measures', 'are', 'equivalent', 'for', 'all', 'stabilizer', 'states', 'symmetric', 'basis', 'and', 'antisymmetric', 'basis', 'states', 'we', 'rigorously', 'prove', 'a', 'conjecture', 'that', 'the', 'closest', 'product', 'state', 'of', 'permutation', 'symmetric', 'states', 'can', 'always', 'be', 'chosen', 'to', 'be', 'permutation', 'symmetric', 'this', 'allows', 'us', 'to', 'calculate', 'the', 'explicit', 'values', 'of', 'various', 'entanglement', 'measures', 'for', 'symmetric', 'and', 'antisymmetric', 'basis', 'states', 'observing', 'that', 'antisymmetric', 'states', 'are', 'generally', 'more', 'entangled', 'we', 'use', 'these', 'results', 'to', 'obtain', 'a', 'variety', 'of', 'interesting', 'ensembles', 'of', 'quantum', 'states', 'for', 'which', 'the', 'optimal', 'locc', 'discrimination', 'probability', 'may', 'be', 'explicitly', 'determined', 'and', 'achieved', 'we', 'also', 'discuss', 'applications', 'to', 'the', 'construction', 'of', 'optimal', 'entanglement', 'witnesses']] | [-0.13967617565137802, 0.18742603835831054, -0.11816282755689032, 0.1101806252880722, 0.018382498105337857, -0.19309820201022912, 0.04320821005967446, 0.38215564743884456, -0.24166907190076456, -0.21824845070981938, 0.09732742089662551, -0.22914357788108006, -0.14126920913214852, 0.16561748868091994, -0.06418410564879043, 0.11660637503621503, 0.06467193970769244, 0.05084232786133567, -0.12695911796857295, -0.25783855063159444, 0.37692215929945444, -0.004349244174847517, 0.32828127277777497, 0.07577426273738277, 0.06872833923486706, -0.004483276905473197, 0.01194818957940044, 0.011529038450836936, -0.14014548586048428, 0.15025616431805686, 0.30024664228213266, 0.17084387470280515, 0.19063107815927408, -0.38113537264500286, -0.14893663730827822, 0.18984220178810343, 0.07903820006551858, 0.16840457473881543, -0.005502613029781035, -0.3445763432970833, 0.05421973408774892, -0.19502348732203245, -0.13914230539019676, -0.17647921669628197, 0.03142691564889962, -0.028657637650597114, -0.29168119834073436, 0.07397707791248143, 0.049774651650283504, 0.030862362305289947, -0.0374713490694455, -0.08419326602500057, -0.03721997344353855, 0.14816112845398535, -0.026031644287481653, -0.05728764744669249, 0.11287976310107133, -0.08331484461809514, -0.18221774377317898, 0.3294332151819996, -0.029838923775847227, -0.24469337522129578, 0.16771031092327313, -0.11326654655421341, -0.1467716544866562, 0.039603650430842435, 0.1437764132876674, 0.13497304456971035, -0.09778641757474049, 0.04838667590063278, -0.10087709656397768, 0.13091411557511096, 0.10753569158494172, 0.16396713198393884, 0.15153922302485912, -0.02431866297992134, 0.13275023582532078, 0.24152214257530993, -0.007793749404458592, -0.14884031114899773, -0.3323278666892708, -0.21365965233241432, -0.19834194003038683, 0.10137449424313819, -0.10563415146990282, -0.11959808027909306, 0.44341433873312586, 0.11546924281880984, 0.13548004569098254, 0.06127573597563693, 0.16970979684851314, 0.11782607615569093, 0.027971508150964025, 0.08264295293030723, 0.21491167318441548, 0.187490190898112, -0.06762102091897454, -0.21758045116673855, 0.05556079409954032, 0.05971075511918772] |
710.1057 | Elastic properties of cubic crystals: Every's versus Blackman's diagram | Blackman's diagram of two dimensionless ratios of elastic constants is
frequently used to correlate elastic properties of cubic crystals with
interatomic bondings. Every's diagram of a different set of two dimensionless
variables was used by us for classification of various properties of such
crystals. We compare these two ways of characterization of elastic properties
of cubic materials and consider the description of various groups of materials,
e.g. simple metals, oxides, and alkali halides. With exception of intermediate
valent compounds, the correlation coefficients for Every's diagrams of various
groups of materials are greater than for Blackaman's diagrams, revealing the
existence of a linear relationship between two dimensionless Every's variables.
Alignment of elements and compounds along lines of constant Poisson's ratio
$\nu(<100>,\textbf{m})$, ($\textbf{m}$ arbitrary perpendicular to <100>) is
observed. Division of the stability region in Blackman's diagram into region of
complete auxetics, auxetics and non-auxetics is introduced. Correlations of a
scaling and an acoustic anisotropy parameter are considered.
| cond-mat.mtrl-sci cond-mat.other | blackmans diagram of two dimensionless ratios of elastic constants is frequently used to correlate elastic properties of cubic crystals with interatomic bondings everys diagram of a different set of two dimensionless variables was used by us for classification of various properties of such crystals we compare these two ways of characterization of elastic properties of cubic materials and consider the description of various groups of materials eg simple metals oxides and alkali halides with exception of intermediate valent compounds the correlation coefficients for everys diagrams of various groups of materials are greater than for blackamans diagrams revealing the existence of a linear relationship between two dimensionless everys variables alignment of elements and compounds along lines of constant poissons ratio nu100textbfm textbfm arbitrary perpendicular to 100 is observed division of the stability region in blackmans diagram into region of complete auxetics auxetics and nonauxetics is introduced correlations of a scaling and an acoustic anisotropy parameter are considered | [['blackmans', 'diagram', 'of', 'two', 'dimensionless', 'ratios', 'of', 'elastic', 'constants', 'is', 'frequently', 'used', 'to', 'correlate', 'elastic', 'properties', 'of', 'cubic', 'crystals', 'with', 'interatomic', 'bondings', 'everys', 'diagram', 'of', 'a', 'different', 'set', 'of', 'two', 'dimensionless', 'variables', 'was', 'used', 'by', 'us', 'for', 'classification', 'of', 'various', 'properties', 'of', 'such', 'crystals', 'we', 'compare', 'these', 'two', 'ways', 'of', 'characterization', 'of', 'elastic', 'properties', 'of', 'cubic', 'materials', 'and', 'consider', 'the', 'description', 'of', 'various', 'groups', 'of', 'materials', 'eg', 'simple', 'metals', 'oxides', 'and', 'alkali', 'halides', 'with', 'exception', 'of', 'intermediate', 'valent', 'compounds', 'the', 'correlation', 'coefficients', 'for', 'everys', 'diagrams', 'of', 'various', 'groups', 'of', 'materials', 'are', 'greater', 'than', 'for', 'blackamans', 'diagrams', 'revealing', 'the', 'existence', 'of', 'a', 'linear', 'relationship', 'between', 'two', 'dimensionless', 'everys', 'variables', 'alignment', 'of', 'elements', 'and', 'compounds', 'along', 'lines', 'of', 'constant', 'poissons', 'ratio', 'nu100textbfm', 'textbfm', 'arbitrary', 'perpendicular', 'to', '100', 'is', 'observed', 'division', 'of', 'the', 'stability', 'region', 'in', 'blackmans', 'diagram', 'into', 'region', 'of', 'complete', 'auxetics', 'auxetics', 'and', 'nonauxetics', 'is', 'introduced', 'correlations', 'of', 'a', 'scaling', 'and', 'an', 'acoustic', 'anisotropy', 'parameter', 'are', 'considered']] | [-0.18032434079917817, 0.17176338655844078, -0.02765698603725706, 0.03377400285616103, -0.05498207726339304, -0.13574692185395976, 0.05582921660666543, 0.3841193495744389, -0.24871714330077463, -0.2903190694956316, 0.016361399009683798, -0.3244883783033812, -0.12236113488990692, 0.19546654951923034, 0.06275486055528745, 0.028052569263511233, -0.03932919648469858, -0.04560560579685604, -0.1191079246756785, -0.21482064714350926, 0.30984360143067496, -0.027415155192869075, 0.27488003088027435, 0.023627747973317608, 0.06830510669966149, -0.007826623372928379, 0.016086774251235076, 0.06667212049820723, -0.19002285635013597, 0.11712635498725218, 0.25829071423352323, -0.003315226871861157, 0.14987289652934457, -0.37593047919202277, -0.19072863640373244, 0.06807470889427254, 0.12913070951489156, 0.06006526906238077, -0.004699020284331507, -0.18618099121802967, 0.04895696222471694, -0.12794100265079514, -0.13284469454311856, -0.08228724247782059, 0.05775984283232319, 0.07850432644896453, -0.2485845235078991, 0.09216086719233811, 0.021986628248770203, 0.1397654084622665, -0.12178728263825178, -0.18484634532611452, -0.040125514519875685, 0.10305363351929617, 0.04184768214179629, -0.03892134857254431, 0.11260654275409049, -0.13893179091460564, -0.08906050311101697, 0.43097888555353375, -0.03200697666233834, -0.1389412535597978, 0.20229479977008857, -0.1354278661888945, -0.11026983346723117, 0.14727455162096256, 0.15031553852962318, 0.1008231366598017, -0.14622195799731547, 0.06419457484674305, -0.0017990855678149005, 0.1596226022925739, 0.08877504113574627, 0.07070506448260953, 0.1933555982526075, 0.14253546929236477, -0.02291923513015111, 0.16456401852314098, -0.051620109618513606, -0.055123862104332136, -0.23228333177032814, -0.20569002342842568, -0.14190012238709732, -0.002291362986784258, -0.16944864125010403, -0.22483359722517968, 0.38134056971304947, 0.04884601057373182, 0.2026841885458185, -0.04514839332337717, 0.17895040004453286, 0.03707532493903201, 0.06450586069186577, -0.05337402473806458, 0.25089449484777804, 0.21660301755669412, 0.033612098570706114, -0.2173381579775071, 0.10671732835836854, 0.08274019500879827] |
710.1058 | Quantum-mechanical Landau-Lifshitz equation | Quantum-mechanical analogue of Landau-Lifshitz equation has been derived. It
has been established that Landau-Lifshitz equation is fundamental physical
equation underlying the dynamics of spectroscopic transitions and transitional
phenomena. New phenomenon is predicted: electrical spin wave resonance (ESWR)
being to be electrical analogue of magnetic spin wave resonance.
| quant-ph | quantummechanical analogue of landaulifshitz equation has been derived it has been established that landaulifshitz equation is fundamental physical equation underlying the dynamics of spectroscopic transitions and transitional phenomena new phenomenon is predicted electrical spin wave resonance eswr being to be electrical analogue of magnetic spin wave resonance | [['quantummechanical', 'analogue', 'of', 'landaulifshitz', 'equation', 'has', 'been', 'derived', 'it', 'has', 'been', 'established', 'that', 'landaulifshitz', 'equation', 'is', 'fundamental', 'physical', 'equation', 'underlying', 'the', 'dynamics', 'of', 'spectroscopic', 'transitions', 'and', 'transitional', 'phenomena', 'new', 'phenomenon', 'is', 'predicted', 'electrical', 'spin', 'wave', 'resonance', 'eswr', 'being', 'to', 'be', 'electrical', 'analogue', 'of', 'magnetic', 'spin', 'wave', 'resonance']] | [-0.18845228573469364, 0.15489145497912946, -0.12110243189027128, 0.08914704477596704, -0.22549127576791722, -0.13113343035397323, -0.0847125253032731, 0.3066539399568801, -0.2618489483492854, -0.2578731537189173, 0.03618663633444711, -0.2855846539301717, -0.18156643575766002, 0.2100560365563623, 0.10852321263645655, 0.13927034857561407, -0.02569883342569127, 0.013612815472499831, -0.027021497705667887, -0.08290924002294955, 0.27478696181155415, -0.010950021052849479, 0.2843060295057038, 0.0550078509942345, 0.15117230509286342, -0.04305419884622097, 0.1400936488960566, -0.016639555105939507, -0.17061856373434042, -0.01768047609568938, 0.24701824743786585, 0.018569550588322076, 0.1698896014334067, -0.44032835296314693, -0.35304617426236684, 0.02586775222469283, 0.17779993284088763, 0.18035752657274512, -0.044572165397846183, -0.3237128990256916, 0.010225041577106585, -0.13987385611171307, -0.2169277676705109, -0.10930080970992213, 0.09541311402521703, -0.0038986806858978844, -0.19868328268437283, 0.17274555289085305, 0.09461557051247876, 0.0849148823434244, -0.1500406584692309, -0.11243751719998925, -0.059974881192750254, 0.05036078717397607, 0.02782957959393768, 0.0634091924774744, 0.12258935128541096, -0.0942377680507691, -0.17584487488088402, 0.3732541749132392, -0.028391487248565838, -0.17082510350124008, 0.13768451261516337, -0.21272601808785743, -0.08191109710858892, 0.18326407651740895, 0.09245194551413474, 0.065792349713814, -0.24808709349726205, 0.09636382740269334, -0.03918318831015115, 0.10801594553808884, 0.07679912918652206, 0.06338262251254333, 0.21879452969069066, 0.21913632155274568, -0.04248899770090762, 0.09489313024855421, -0.07050756648506808, -0.14684981569323852, -0.17112910925694133, -0.16608190172068452, -0.24518986516024754, 0.21486732370976824, 0.021658716126377996, -0.11371616780271997, 0.3779573197598043, 0.12660453804647145, 0.04656375821112939, -0.1316282656043768, 0.2840359611942878, 0.2822521945218677, 0.05179195840964499, -0.040797738722808986, 0.3373284305891265, 0.33501619899281015, 0.1513959224457326, -0.30075457453241816, 0.06327384636413468, 0.0918499197628673] |
710.1059 | The arrow of time and the Weyl group: all supergravity billiards are
integrable | In this paper we show that all supergravity billiards corresponding to
sigma-models on any U/H non compact-symmetric space and obtained by
compactifying supergravity to D=3 are fully integrable. The key point in
establishing the integration algorithm is provided by an upper triangular
embedding of the solvable Lie algebra associated with U/H into SL(N,R) which
always exists. In this context we establish a remarkable relation between the
arrow of time and the properties of the Weyl group. The asymptotic states of
the developing Universe are in one-to-one correspondence with the elements of
the Weyl group which is a property of the Tits Satake universality classes and
not of their single representatives. Furthermore the Weyl group admits a
natural ordering in terms of L(T), the number of reflections with respect to
the simple roots and the direction of time flows is always towards increasing
L(T), which plays the unexpected role of an entropy.
| hep-th astro-ph nlin.SI | in this paper we show that all supergravity billiards corresponding to sigmamodels on any uh non compactsymmetric space and obtained by compactifying supergravity to d3 are fully integrable the key point in establishing the integration algorithm is provided by an upper triangular embedding of the solvable lie algebra associated with uh into slnr which always exists in this context we establish a remarkable relation between the arrow of time and the properties of the weyl group the asymptotic states of the developing universe are in onetoone correspondence with the elements of the weyl group which is a property of the tits satake universality classes and not of their single representatives furthermore the weyl group admits a natural ordering in terms of lt the number of reflections with respect to the simple roots and the direction of time flows is always towards increasing lt which plays the unexpected role of an entropy | [['in', 'this', 'paper', 'we', 'show', 'that', 'all', 'supergravity', 'billiards', 'corresponding', 'to', 'sigmamodels', 'on', 'any', 'uh', 'non', 'compactsymmetric', 'space', 'and', 'obtained', 'by', 'compactifying', 'supergravity', 'to', 'd3', 'are', 'fully', 'integrable', 'the', 'key', 'point', 'in', 'establishing', 'the', 'integration', 'algorithm', 'is', 'provided', 'by', 'an', 'upper', 'triangular', 'embedding', 'of', 'the', 'solvable', 'lie', 'algebra', 'associated', 'with', 'uh', 'into', 'slnr', 'which', 'always', 'exists', 'in', 'this', 'context', 'we', 'establish', 'a', 'remarkable', 'relation', 'between', 'the', 'arrow', 'of', 'time', 'and', 'the', 'properties', 'of', 'the', 'weyl', 'group', 'the', 'asymptotic', 'states', 'of', 'the', 'developing', 'universe', 'are', 'in', 'onetoone', 'correspondence', 'with', 'the', 'elements', 'of', 'the', 'weyl', 'group', 'which', 'is', 'a', 'property', 'of', 'the', 'tits', 'satake', 'universality', 'classes', 'and', 'not', 'of', 'their', 'single', 'representatives', 'furthermore', 'the', 'weyl', 'group', 'admits', 'a', 'natural', 'ordering', 'in', 'terms', 'of', 'lt', 'the', 'number', 'of', 'reflections', 'with', 'respect', 'to', 'the', 'simple', 'roots', 'and', 'the', 'direction', 'of', 'time', 'flows', 'is', 'always', 'towards', 'increasing', 'lt', 'which', 'plays', 'the', 'unexpected', 'role', 'of', 'an', 'entropy']] | [-0.18687698268642028, 0.11994445527845528, -0.07811054828033472, 0.010774185959404955, -0.0891234446503222, -0.10724446161960562, 0.012833806540972242, 0.3422297608355681, -0.2790648698868851, -0.24149269242344112, 0.10503085433738306, -0.2567000007070601, -0.16501666741911322, 0.17309912819725773, -0.07360540331609323, -0.011265142185923954, -0.001354030172030131, 0.09024195197969676, -0.12424444776494056, -0.24184469730282823, 0.36641114531705776, 0.025124075074757758, 0.27434214474633334, 0.004506752288143616, 0.12889154763892294, -0.01980758081500729, 0.008041422038028637, 0.018062644693806456, -0.11513380092515338, 0.12253178448532707, 0.2564028146676719, 0.055791831808164716, 0.1870942097529769, -0.3810784708087643, -0.1654757133188347, 0.1557239618462821, 0.16109271335105102, 0.05805394751407827, -0.057267090109332154, -0.30107296775095166, 0.08931855510920286, -0.13144587441347538, -0.15431990361151596, -0.020943943696717423, 0.03602426552368949, -0.03138449606175224, -0.21233204519143328, 0.04091300973668695, 0.11220624506473541, 0.08076216961594279, -0.0643033636175096, -0.055636488893069325, -0.06515510630638649, 0.13660255375007788, 0.05160967766229684, 0.03632695402950049, 0.04496940706235667, -0.11910023995985587, -0.12475318335384751, 0.39970609032859405, -0.030507043254716943, -0.20333265123527478, 0.17357169148512186, -0.17307482502733668, -0.14799747546203434, 0.10181051476392895, 0.0891580023119847, 0.09106369352278611, -0.09885121010243893, 0.1718181164050475, -0.09978449678048491, 0.08750364175784246, 0.05722249911981635, 0.034164265249855816, 0.20078605003965397, 0.11706164130320151, 0.09106214113455886, 0.12952673913290103, 0.01024234648910351, -0.08988979786944885, -0.38938724974170325, -0.22599709344562144, -0.14683663106601064, 0.046048531110185045, -0.1383027207723353, -0.1817537806990246, 0.39649980689398945, 0.08757738874138643, 0.20796961212530732, 0.08755391385639086, 0.17758653206983582, 0.1302051369752735, 0.06985061127537241, 0.08597091731006609, 0.2090897060899685, 0.16962433552059034, 0.0228910486244907, -0.2328311310739567, -0.00921669625521948, 0.17826883235014976] |
710.106 | Comments on gluon scattering amplitudes via AdS/CFT | In this article we consider n gluon color ordered, planar amplitudes in N=4
super Yang Mills at strong 't Hooft coupling. These amplitudes are approximated
by classical surfaces in AdS_5 space. We compute the value of the amplitude for
a particular kinematic configuration for a large number of gluons and find that
the result disagrees with a recent guess for the exact value of the amplitude.
Our results are still compatible with a possible relation between amplitudes
and Wilson loops.
In addition, we also give a prescription for computing processes involving
local operators and asymptotic states with a fixed number of gluons. As a
byproduct, we also obtain a string theory prescription for computing the dual
of the ordinary Wilson loop, Tr P exp[ i\oint A ], with no couplings to the
scalars. We also evaluate the quark-antiquark potential at two loops.
| hep-th | in this article we consider n gluon color ordered planar amplitudes in n4 super yang mills at strong t hooft coupling these amplitudes are approximated by classical surfaces in ads_5 space we compute the value of the amplitude for a particular kinematic configuration for a large number of gluons and find that the result disagrees with a recent guess for the exact value of the amplitude our results are still compatible with a possible relation between amplitudes and wilson loops in addition we also give a prescription for computing processes involving local operators and asymptotic states with a fixed number of gluons as a byproduct we also obtain a string theory prescription for computing the dual of the ordinary wilson loop tr p exp ioint a with no couplings to the scalars we also evaluate the quarkantiquark potential at two loops | [['in', 'this', 'article', 'we', 'consider', 'n', 'gluon', 'color', 'ordered', 'planar', 'amplitudes', 'in', 'n4', 'super', 'yang', 'mills', 'at', 'strong', 't', 'hooft', 'coupling', 'these', 'amplitudes', 'are', 'approximated', 'by', 'classical', 'surfaces', 'in', 'ads_5', 'space', 'we', 'compute', 'the', 'value', 'of', 'the', 'amplitude', 'for', 'a', 'particular', 'kinematic', 'configuration', 'for', 'a', 'large', 'number', 'of', 'gluons', 'and', 'find', 'that', 'the', 'result', 'disagrees', 'with', 'a', 'recent', 'guess', 'for', 'the', 'exact', 'value', 'of', 'the', 'amplitude', 'our', 'results', 'are', 'still', 'compatible', 'with', 'a', 'possible', 'relation', 'between', 'amplitudes', 'and', 'wilson', 'loops', 'in', 'addition', 'we', 'also', 'give', 'a', 'prescription', 'for', 'computing', 'processes', 'involving', 'local', 'operators', 'and', 'asymptotic', 'states', 'with', 'a', 'fixed', 'number', 'of', 'gluons', 'as', 'a', 'byproduct', 'we', 'also', 'obtain', 'a', 'string', 'theory', 'prescription', 'for', 'computing', 'the', 'dual', 'of', 'the', 'ordinary', 'wilson', 'loop', 'tr', 'p', 'exp', 'ioint', 'a', 'with', 'no', 'couplings', 'to', 'the', 'scalars', 'we', 'also', 'evaluate', 'the', 'quarkantiquark', 'potential', 'at', 'two', 'loops']] | [-0.1482616651587055, 0.21706349914560893, -0.07841530029961308, 0.10872072489250319, -0.0306733779908557, -0.11509992092781302, 0.07216462157250914, 0.3510557289501386, -0.15541555339004845, -0.27167679034173486, 0.04417009222670458, -0.26559832136678907, -0.14432004452184108, 0.15130385000458255, -0.011189333741952266, 0.04943573979128684, 0.04294918631037165, 0.07701844530778804, -0.09905770423231713, -0.22464228945401762, 0.3287958987988532, -0.031715493454664415, 0.2058140135087472, 0.08427303668244608, 0.07843630448582449, 0.03745498638932726, -0.0345715393062814, 0.03518084730998713, -0.10583176843216019, 0.10481200945546984, 0.20919639846709157, 0.04924707729702017, 0.1355808968522719, -0.4102455029796277, -0.1494268605252728, 0.09028656577159251, 0.15687951660781566, 0.13620439656078814, -0.006165727156413985, -0.19932237180681633, 0.06505715577098142, -0.17299315560459425, -0.20240137646240847, -0.07656957805821939, 0.07886049948366625, -0.06460254624752061, -0.3418144539530788, 0.05859669893418738, -0.005626305092924408, 0.02191437095004533, -0.0014592072078292923, -0.13064850990194826, -0.032604969567286646, 0.08002821958424257, 0.06563349600598616, 0.09632314893284015, 0.06034476894669102, -0.2100913356552545, -0.16250742111088975, 0.3064962258046892, -0.09484720152270582, -0.1875189715214739, 0.1559701620368287, -0.1607678412027391, -0.17430024773015507, 0.08348455767876918, 0.1262888620407986, 0.15710574919399473, -0.12704942702049657, 0.18004866802075412, -0.07028583268235837, 0.10583371012471617, 0.1348957107202815, 0.05454332927557906, 0.20370820957967745, 0.07554687543140193, 0.029067881565008846, 0.14852654542607654, -0.03570049317287547, -0.10282559309395894, -0.40387277355683704, -0.13471956623834558, -0.10318845322555197, 0.05957599182147533, -0.14378903506824697, -0.19044250569838497, 0.3326220601032089, 0.10996208634179701, 0.25124916839247036, 0.11676038349313396, 0.247604142408818, 0.1495681332224714, 0.05846294125408998, 0.11589934243155377, 0.2310269420966506, 0.17398319859223974, 0.11498245680704713, -0.25584181316995197, -0.06589580952838463, 0.16974120354279876] |
710.1061 | Massive Gravity in Minkowski Space via Gravitational Higgs Mechanism | In gravitational Higgs mechanism graviton components acquire mass in the
process of spontaneous breaking of diffeomorphisms (via scalar vacuum
expectation values). Recently, gravitational Higgs mechanism was discussed in
the context of obtaining massive gravity directly in four dimensions. We
discuss a setup, with all diffeomorphisms spontaneously broken by scalars,
where gravitational Higgs mechanism results in massive gravity in Minkowski
space with no non-unitary propagating modes. This is achieved by including
higher derivative terms in the scalar sector. Decoupling the non-unitary mode
(trace of the graviton) then requires tuning a single parameter, namely, the
cosmological constant. We also discuss a setup where only spatial
diffeomorphisms are broken. In this case we obtain massive gravity in Minkowski
space with only transverse modes propagating, so the mode count is the same as
for a massless graviton.
| hep-th gr-qc | in gravitational higgs mechanism graviton components acquire mass in the process of spontaneous breaking of diffeomorphisms via scalar vacuum expectation values recently gravitational higgs mechanism was discussed in the context of obtaining massive gravity directly in four dimensions we discuss a setup with all diffeomorphisms spontaneously broken by scalars where gravitational higgs mechanism results in massive gravity in minkowski space with no nonunitary propagating modes this is achieved by including higher derivative terms in the scalar sector decoupling the nonunitary mode trace of the graviton then requires tuning a single parameter namely the cosmological constant we also discuss a setup where only spatial diffeomorphisms are broken in this case we obtain massive gravity in minkowski space with only transverse modes propagating so the mode count is the same as for a massless graviton | [['in', 'gravitational', 'higgs', 'mechanism', 'graviton', 'components', 'acquire', 'mass', 'in', 'the', 'process', 'of', 'spontaneous', 'breaking', 'of', 'diffeomorphisms', 'via', 'scalar', 'vacuum', 'expectation', 'values', 'recently', 'gravitational', 'higgs', 'mechanism', 'was', 'discussed', 'in', 'the', 'context', 'of', 'obtaining', 'massive', 'gravity', 'directly', 'in', 'four', 'dimensions', 'we', 'discuss', 'a', 'setup', 'with', 'all', 'diffeomorphisms', 'spontaneously', 'broken', 'by', 'scalars', 'where', 'gravitational', 'higgs', 'mechanism', 'results', 'in', 'massive', 'gravity', 'in', 'minkowski', 'space', 'with', 'no', 'nonunitary', 'propagating', 'modes', 'this', 'is', 'achieved', 'by', 'including', 'higher', 'derivative', 'terms', 'in', 'the', 'scalar', 'sector', 'decoupling', 'the', 'nonunitary', 'mode', 'trace', 'of', 'the', 'graviton', 'then', 'requires', 'tuning', 'a', 'single', 'parameter', 'namely', 'the', 'cosmological', 'constant', 'we', 'also', 'discuss', 'a', 'setup', 'where', 'only', 'spatial', 'diffeomorphisms', 'are', 'broken', 'in', 'this', 'case', 'we', 'obtain', 'massive', 'gravity', 'in', 'minkowski', 'space', 'with', 'only', 'transverse', 'modes', 'propagating', 'so', 'the', 'mode', 'count', 'is', 'the', 'same', 'as', 'for', 'a', 'massless', 'graviton']] | [-0.19860219516392266, 0.26941851913382797, -0.02907423981678973, 0.10132209206561751, -0.11838141058158494, -0.15393213942801034, -0.03212391423355592, 0.3005833178758621, -0.16073499161739574, -0.2581601250930724, 0.06501022267550986, -0.22022569615786014, -0.12817039751776851, 0.11571555896277043, -0.0026029191799181745, 0.02461859353266996, -0.003147173494352658, 0.05438635990555797, -0.05437349989534097, -0.2308066672465197, 0.3712303807759391, 0.025317771596609986, 0.2455533915094303, -0.0053656258763871475, 0.13663517005384473, 0.007214672937008895, -0.008157626697723578, -0.056547308470651196, -0.08918394923518251, 0.03211723059009677, 0.15303893626450485, 0.07057155285615306, 0.19238550993578887, -0.39722192085775215, -0.2590692642501983, 0.1348265659876336, 0.1907957289612999, 0.16772472067154887, -0.0670563277571385, -0.3185595717557699, 0.05579960702645375, -0.17908580345276714, -0.15566344449954822, -0.05647079664793678, -0.03411377921588439, -0.1655541892396286, -0.2779521093514741, 0.12739430453879513, -0.020785976694966842, 0.010112943064729521, -0.05021731260309654, -0.032030065169319846, -0.09505972471587094, 0.01779764411704881, 0.1957183096300079, 0.040665606323444056, 0.14967908173855535, -0.1684951095463694, -0.13890222340815217, 0.3961741439928126, -0.16356902362260603, -0.2712827280069232, 0.1273402762721832, -0.21408698971635362, -0.15694923902672708, 0.1142601577932674, 0.1327847591286203, 0.12915688591372027, -0.14664039818247906, 0.20811843494639584, 0.011068164591530436, 0.13044136902667525, 0.1315470418010495, 0.1173235237750722, 0.29361083776220903, 0.10331307509143774, 0.027777116102745487, 0.1411471849471975, -0.007648734281301722, -0.0942622420406039, -0.40641325553949165, -0.18372378887475602, -0.11043951584987301, 0.02743446585001018, -0.13367593885028273, -0.11777667000476635, 0.37879305538070157, 0.08106194354621764, 0.16455457721227654, 0.04385083243320871, 0.2849386331513244, 0.11348441534997769, 0.11453660143560317, 0.07069718711169198, 0.34361600482143123, 0.13124903904701254, 0.10479080636243343, -0.22227569870804822, -0.1070269860495302, 0.10654952430474411] |
710.1062 | New Insights on Interstellar Gas-Phase Iron | In this paper, we report on the gas-phase abundance of singly-ionized iron
(Fe II) for 51 lines of sight, using data from the Far Ultraviolet
Spectroscopic Explorer (FUSE). Fe II column densities are derived by measuring
the equivalent widths of several ultraviolet absorption lines and subsequently
fitting those to a curve of growth. Our derivation of Fe II column densities
and abundances creates the largest sample of iron abundances in moderately- to
highly-reddened lines of sight explored with FUSE, lines of sight that are on
average more reddened than lines of sight in previous Copernicus studies. We
present three major results. First, we observe the well-established correlation
between iron depletion and <n_H> and also find trends between iron depletion
and other line of sight parameters (e.g. f(H_2), E_(B-V), and A_V), and examine
the significance of these trends. Of note, a few of our lines of sight probe
larger densities than previously explored and we do not see significantly
enhanced depletion effects. Second, we present two detections of an extremely
weak Fe II line at 1901.773 A in the archival STIS spectra of two lines of
sight (HD 24534 and HD 93222). We compare these detections to the column
densities derived through FUSE spectra and comment on the line's f-value and
utility for future studies of Fe II. Lastly, we present strong anecdotal
evidence that the Fe II f-values derived empirically through FUSE data are more
accurate than previous values that have been theoretically calculated, with the
probable exception of f_1112.
| astro-ph | in this paper we report on the gasphase abundance of singlyionized iron fe ii for 51 lines of sight using data from the far ultraviolet spectroscopic explorer fuse fe ii column densities are derived by measuring the equivalent widths of several ultraviolet absorption lines and subsequently fitting those to a curve of growth our derivation of fe ii column densities and abundances creates the largest sample of iron abundances in moderately to highlyreddened lines of sight explored with fuse lines of sight that are on average more reddened than lines of sight in previous copernicus studies we present three major results first we observe the wellestablished correlation between iron depletion and n_h and also find trends between iron depletion and other line of sight parameters eg fh_2 e_bv and a_v and examine the significance of these trends of note a few of our lines of sight probe larger densities than previously explored and we do not see significantly enhanced depletion effects second we present two detections of an extremely weak fe ii line at 1901773 a in the archival stis spectra of two lines of sight hd 24534 and hd 93222 we compare these detections to the column densities derived through fuse spectra and comment on the lines fvalue and utility for future studies of fe ii lastly we present strong anecdotal evidence that the fe ii fvalues derived empirically through fuse data are more accurate than previous values that have been theoretically calculated with the probable exception of f_1112 | [['in', 'this', 'paper', 'we', 'report', 'on', 'the', 'gasphase', 'abundance', 'of', 'singlyionized', 'iron', 'fe', 'ii', 'for', '51', 'lines', 'of', 'sight', 'using', 'data', 'from', 'the', 'far', 'ultraviolet', 'spectroscopic', 'explorer', 'fuse', 'fe', 'ii', 'column', 'densities', 'are', 'derived', 'by', 'measuring', 'the', 'equivalent', 'widths', 'of', 'several', 'ultraviolet', 'absorption', 'lines', 'and', 'subsequently', 'fitting', 'those', 'to', 'a', 'curve', 'of', 'growth', 'our', 'derivation', 'of', 'fe', 'ii', 'column', 'densities', 'and', 'abundances', 'creates', 'the', 'largest', 'sample', 'of', 'iron', 'abundances', 'in', 'moderately', 'to', 'highlyreddened', 'lines', 'of', 'sight', 'explored', 'with', 'fuse', 'lines', 'of', 'sight', 'that', 'are', 'on', 'average', 'more', 'reddened', 'than', 'lines', 'of', 'sight', 'in', 'previous', 'copernicus', 'studies', 'we', 'present', 'three', 'major', 'results', 'first', 'we', 'observe', 'the', 'wellestablished', 'correlation', 'between', 'iron', 'depletion', 'and', 'n_h', 'and', 'also', 'find', 'trends', 'between', 'iron', 'depletion', 'and', 'other', 'line', 'of', 'sight', 'parameters', 'eg', 'fh_2', 'e_bv', 'and', 'a_v', 'and', 'examine', 'the', 'significance', 'of', 'these', 'trends', 'of', 'note', 'a', 'few', 'of', 'our', 'lines', 'of', 'sight', 'probe', 'larger', 'densities', 'than', 'previously', 'explored', 'and', 'we', 'do', 'not', 'see', 'significantly', 'enhanced', 'depletion', 'effects', 'second', 'we', 'present', 'two', 'detections', 'of', 'an', 'extremely', 'weak', 'fe', 'ii', 'line', 'at', '1901773', 'a', 'in', 'the', 'archival', 'stis', 'spectra', 'of', 'two', 'lines', 'of', 'sight', 'hd', '24534', 'and', 'hd', '93222', 'we', 'compare', 'these', 'detections', 'to', 'the', 'column', 'densities', 'derived', 'through', 'fuse', 'spectra', 'and', 'comment', 'on', 'the', 'lines', 'fvalue', 'and', 'utility', 'for', 'future', 'studies', 'of', 'fe', 'ii', 'lastly', 'we', 'present', 'strong', 'anecdotal', 'evidence', 'that', 'the', 'fe', 'ii', 'fvalues', 'derived', 'empirically', 'through', 'fuse', 'data', 'are', 'more', 'accurate', 'than', 'previous', 'values', 'that', 'have', 'been', 'theoretically', 'calculated', 'with', 'the', 'probable', 'exception', 'of', 'f_1112']] | [-0.045723072277676115, 0.04775248863127484, 0.0285601905143635, 0.030990606639062918, -0.03462957476806801, -0.13478822353944514, 0.09066936584106583, 0.5034366084756668, -0.12977013220776792, -0.33237718601111577, 0.02804100848658968, -0.3581064182676767, -0.021591436939864508, 0.15032936000738384, 0.003509461400872059, -0.05283655253484532, 0.03734368262982169, -0.10600534953018613, -0.09589667309090676, -0.22731968938742542, 0.3088320746851957, 0.05845925488098249, 0.22543975142872824, 0.018233027209260084, -0.005668374311050725, -0.1117530103908618, -0.11287629930491028, 0.05751330185839944, -0.15205230424872873, 0.14261613661816405, 0.21915712270712262, 0.14635572525453924, 0.17994712852130113, -0.38186331306331905, -0.21831884221239808, 0.04081703458256597, 0.1939518506883673, 0.07568044348210776, -0.049114939093194816, -0.2615793674377355, 0.02831611063718788, -0.12071101255488662, -0.1428092240680175, 0.024672702279107773, 0.075372604089544, 0.05212755194560696, -0.20475644808119306, 0.08001846854510408, -0.010909864390061542, 0.176273127616221, -0.09754820709750207, -0.17904776892849142, -0.07571217432422073, 0.05798371211127925, 0.022274648068427497, -0.042629302124896275, 0.13526613096261647, -0.09493722696458687, -0.033319230748270735, 0.3892767406417517, -0.14409392184443792, 0.013150278940515948, 0.20366511379391228, -0.17422346821712775, -0.2025750301993237, 0.20818033934898886, 0.11133773706670519, 0.14110939905541356, -0.12185875193483615, -0.01998198040745029, -0.05984511315942316, 0.20968332077255888, 0.021925370306953004, 0.07552195957254784, 0.24006685696406524, 0.031189084120909212, 0.006314818618200749, 0.06491106492302263, -0.2669994183627489, -0.032551970091546596, -0.24563269395105963, -0.16154095450804337, -0.0912260060492707, 0.05342201012482929, -0.09415367861526504, -0.12818013281874388, 0.32465127371213875, 0.20309808194592052, 0.2908006425219237, 0.024163166792527866, 0.30660510091827464, 0.10562026162013442, 0.05198561085335277, 0.07238953946128125, 0.31338758611493567, 0.1606213882092296, 0.10604710380974705, -0.215456280492643, 0.12101602444221617, 0.0361372992068318] |
710.1063 | Zero modes' fusion ring and braid group representations for the extended
chiral su(2) WZNW model | The zero modes' Fock space for the extended chiral $su(2)$ WZNW model gives
room to a realization of the Grothendieck fusion ring of representations of the
restricted $U_q sl(2)$ quantum universal enveloping algebra (QUEA) at an even
($2h$-th) root of unity, and of its extension by the Lusztig operators. It is
shown that expressing the Drinfeld images of canonical characters in terms of
Chebyshev polynomials of the Casimir invariant $C$ allows a streamlined
derivation of the characteristic equation of $C$ from the defining relations of
the restricted QUEA. The properties of the fusion ring of the Lusztig's
extension of the QUEA in the zero modes' Fock space are related to the braiding
properties of correlation functions of primary fields of the extended
$su(2)_{h-2}$ current algebra model.
| hep-th math-ph math.MP math.QA | the zero modes fock space for the extended chiral su2 wznw model gives room to a realization of the grothendieck fusion ring of representations of the restricted u_q sl2 quantum universal enveloping algebra quea at an even 2hth root of unity and of its extension by the lusztig operators it is shown that expressing the drinfeld images of canonical characters in terms of chebyshev polynomials of the casimir invariant c allows a streamlined derivation of the characteristic equation of c from the defining relations of the restricted quea the properties of the fusion ring of the lusztigs extension of the quea in the zero modes fock space are related to the braiding properties of correlation functions of primary fields of the extended su2_h2 current algebra model | [['the', 'zero', 'modes', 'fock', 'space', 'for', 'the', 'extended', 'chiral', 'su2', 'wznw', 'model', 'gives', 'room', 'to', 'a', 'realization', 'of', 'the', 'grothendieck', 'fusion', 'ring', 'of', 'representations', 'of', 'the', 'restricted', 'u_q', 'sl2', 'quantum', 'universal', 'enveloping', 'algebra', 'quea', 'at', 'an', 'even', '2hth', 'root', 'of', 'unity', 'and', 'of', 'its', 'extension', 'by', 'the', 'lusztig', 'operators', 'it', 'is', 'shown', 'that', 'expressing', 'the', 'drinfeld', 'images', 'of', 'canonical', 'characters', 'in', 'terms', 'of', 'chebyshev', 'polynomials', 'of', 'the', 'casimir', 'invariant', 'c', 'allows', 'a', 'streamlined', 'derivation', 'of', 'the', 'characteristic', 'equation', 'of', 'c', 'from', 'the', 'defining', 'relations', 'of', 'the', 'restricted', 'quea', 'the', 'properties', 'of', 'the', 'fusion', 'ring', 'of', 'the', 'lusztigs', 'extension', 'of', 'the', 'quea', 'in', 'the', 'zero', 'modes', 'fock', 'space', 'are', 'related', 'to', 'the', 'braiding', 'properties', 'of', 'correlation', 'functions', 'of', 'primary', 'fields', 'of', 'the', 'extended', 'su2_h2', 'current', 'algebra', 'model']] | [-0.1889850731418964, 0.11913677431115385, -0.10916357721397353, 0.042503747481649985, -0.09042560746480201, -0.1200497065137531, -0.04506370740953923, 0.26425555171895654, -0.34088551313165694, -0.16102970800092142, 0.053895453056846294, -0.22072560868341937, -0.11683064399497403, 0.17280878322649626, -0.06131588781417738, 0.026180150666585824, 0.018492390262714077, 0.15613284566619945, -0.1310556766036297, -0.24001676895685733, 0.3790060450199, 0.053585474055463204, 0.27965288885095485, -0.007367249957526163, 0.12889256194278959, 0.016343360120851184, -0.010820570428134692, -0.07963739412192691, -0.09787503797627822, 0.16970116458082152, 0.2528736107652226, 0.05670438649418253, 0.16235802236253455, -0.35710880408183704, -0.09157870489082509, 0.12109247411436011, 0.15583814713998786, 0.050554426687379035, 0.027802724015688705, -0.29535403056821274, 0.05658877211528541, -0.252157868111446, -0.1610030376525115, -0.06996075222418914, 0.06645401970261798, -0.029937312900719625, -0.2424196618639173, 0.05363146688098148, 0.09354600093736794, 0.12486833320449918, -0.09127433410040178, -0.11885261690364249, -0.06582998690916406, 0.07880483581984957, -0.049177321000775744, 0.027433622076416447, 0.13477605564760103, -0.19513924919339198, -0.1505664271117571, 0.3873049287921599, -0.02693696252460922, -0.20481826583554427, 0.12002555312468641, -0.19069563639124915, -0.10856464379767497, 0.09703287949237312, 0.04287880165464876, 0.09605421333183203, -0.05810320400632918, 0.22656095120257833, -0.11678792564048161, 0.037468963266996246, 0.07606492962522973, 0.046147620679074595, 0.18374647579114553, 0.052995859953244365, -0.009001557688480393, 0.17730422847108135, 0.016767682241005524, -0.07716829378172875, -0.3860322531808408, -0.22051067209066522, -0.16326884740790834, 0.07308169785181, -0.10754303106530701, -0.1922607898659114, 0.4613382707034508, 0.13472435485211112, 0.1793369336594497, 0.07271420820465972, 0.21102136396802962, 0.13995556989985128, 0.1786352694672983, -0.00024278144231967388, 0.15475283161316428, 0.2857904131768361, 0.0071778013896677765, -0.23829443131070283, -0.05795550469643316, 0.19182327138485328] |
710.1064 | The Variation of Magnesium Depletion with Line of Sight Conditions | In this paper we report on the gas-phase abundance of singly-ionized
magnesium (Mg II) in 44 lines of sight, using data from the Hubble Space
Telescope (HST). We measure Mg II column densities by analyzing medium- and
high-resolution archival STIS spectra of the 1240 A doublet of Mg II. We find
that Mg II depletion is correlated with many line of sight parameters (e.g.
F(H_2), E_(B-V), E_(B-V)/r, A_V, and A_V/r) in addition to the well-known
correlation with <n_H>. These parameters should be more directly related to
dust content and thus have more physical significance with regard to the
depletion of elements such as magnesium. We examine the significance of these
additional correlations as compared to the known correlation between Mg II
depletion and <n_H>. While none of the correlations are better predictors of Mg
II depletion than <n_H>, some are statistically significant even assuming fixed
<n_H>. We discuss the ranges over which these correlations are valid, their
strength at fixed <n_H>, and physical interpretations.
| astro-ph | in this paper we report on the gasphase abundance of singlyionized magnesium mg ii in 44 lines of sight using data from the hubble space telescope hst we measure mg ii column densities by analyzing medium and highresolution archival stis spectra of the 1240 a doublet of mg ii we find that mg ii depletion is correlated with many line of sight parameters eg fh_2 e_bv e_bvr a_v and a_vr in addition to the wellknown correlation with n_h these parameters should be more directly related to dust content and thus have more physical significance with regard to the depletion of elements such as magnesium we examine the significance of these additional correlations as compared to the known correlation between mg ii depletion and n_h while none of the correlations are better predictors of mg ii depletion than n_h some are statistically significant even assuming fixed n_h we discuss the ranges over which these correlations are valid their strength at fixed n_h and physical interpretations | [['in', 'this', 'paper', 'we', 'report', 'on', 'the', 'gasphase', 'abundance', 'of', 'singlyionized', 'magnesium', 'mg', 'ii', 'in', '44', 'lines', 'of', 'sight', 'using', 'data', 'from', 'the', 'hubble', 'space', 'telescope', 'hst', 'we', 'measure', 'mg', 'ii', 'column', 'densities', 'by', 'analyzing', 'medium', 'and', 'highresolution', 'archival', 'stis', 'spectra', 'of', 'the', '1240', 'a', 'doublet', 'of', 'mg', 'ii', 'we', 'find', 'that', 'mg', 'ii', 'depletion', 'is', 'correlated', 'with', 'many', 'line', 'of', 'sight', 'parameters', 'eg', 'fh_2', 'e_bv', 'e_bvr', 'a_v', 'and', 'a_vr', 'in', 'addition', 'to', 'the', 'wellknown', 'correlation', 'with', 'n_h', 'these', 'parameters', 'should', 'be', 'more', 'directly', 'related', 'to', 'dust', 'content', 'and', 'thus', 'have', 'more', 'physical', 'significance', 'with', 'regard', 'to', 'the', 'depletion', 'of', 'elements', 'such', 'as', 'magnesium', 'we', 'examine', 'the', 'significance', 'of', 'these', 'additional', 'correlations', 'as', 'compared', 'to', 'the', 'known', 'correlation', 'between', 'mg', 'ii', 'depletion', 'and', 'n_h', 'while', 'none', 'of', 'the', 'correlations', 'are', 'better', 'predictors', 'of', 'mg', 'ii', 'depletion', 'than', 'n_h', 'some', 'are', 'statistically', 'significant', 'even', 'assuming', 'fixed', 'n_h', 'we', 'discuss', 'the', 'ranges', 'over', 'which', 'these', 'correlations', 'are', 'valid', 'their', 'strength', 'at', 'fixed', 'n_h', 'and', 'physical', 'interpretations']] | [-0.03353067625883139, 0.10266507122907098, 0.025485466421225372, 0.06183552272606319, -0.01217576524567572, -0.15845090610745513, 0.06330694902880853, 0.4982231877238294, -0.1593270540398396, -0.3776103959844252, 0.02357223371466346, -0.3334622857057386, -0.032211514976002095, 0.12066393592509866, -0.026600141158718386, -0.03213041817933252, -0.028586722226284535, -0.08562524879730686, -0.10238795582331534, -0.24555076205999488, 0.3231300282698803, 0.06152143321908367, 0.19013836840508982, 0.01465427267015193, -0.0020574779518489025, -0.1097710703810056, -0.08396935531363627, 0.07418712482045342, -0.10665699751799916, 0.122499285829196, 0.23442574083247442, 0.14403093957347957, 0.18841007291511805, -0.37356379436168036, -0.23706905482865778, 0.09768943981350871, 0.15614620996177422, 0.051258826916491224, -0.028546026751383232, -0.2793876331552495, 0.020271788282250916, -0.12448907979292634, -0.13497863929534767, 0.010914812088702564, 0.08433982066200747, 0.0465395924355691, -0.23709906833131372, 0.11545816019326909, -0.03743909470690989, 0.13107697307534608, -0.10629631569292856, -0.173764371747197, -0.08886987515682078, 0.052193065372261184, 0.01575071308589368, -0.016687343630042893, 0.15499420287547472, -0.12172935060139194, 0.012079287052332757, 0.4046235445507423, -0.12907858818590162, -0.04540457190186889, 0.21571801631584947, -0.1816955591066177, -0.18097949130920532, 0.1819902046635333, 0.13398028247311344, 0.07569440566204534, -0.11042550652874289, 0.03311655459383698, -0.032946380057924045, 0.2452385281385095, 0.030052246741467604, 0.12061873249663616, 0.2174870002278943, 0.054314316923005715, 0.03385112248756348, 0.037079053966509595, -0.22623425979529405, -0.023524538856747067, -0.2822378362021639, -0.1954865820021771, -0.0962666387434037, 0.09130586853486566, -0.16542454905774556, -0.10481237966055626, 0.3032670924986172, 0.15916789192591368, 0.2831048305939745, 0.022819609951118675, 0.24862081378721346, 0.08727602374791685, 0.053878707574812675, 0.08049640507023367, 0.2642834335689528, 0.16743315177549964, 0.0885503684856101, -0.2284877257447483, 0.1303155541787913, -0.008333981985709182] |
710.1065 | Planet formation around stars of various masses: The snow line and the
frequency of giant planets | We use a semi-analytic circumstellar disk model that considers movement of
the snow line through evolution of accretion and the central star to
investigate how gas giant frequency changes with stellar mass. The snow line
distance changes weakly with stellar mass; thus giant planets form over a wide
range of spectral types. The probability that a given star has at least one gas
giant increases linearly with stellar mass from 0.4 M_sun to 3 M_sun. Stars
more massive than 3 M_sun evolve quickly to the main-sequence, which pushes the
snow line to 10-15 AU before protoplanets form and limits the range of disk
masses that form giant planet cores. If the frequency of gas giants around
solar-mass stars is 6%, we predict occurrence rates of 1% for 0.4 M_sun stars
and 10% for 1.5 M_sun stars. This result is largely insensitive to our assumed
model parameters. Finally, the movement of the snow line as stars >2.5 M_sun
move to the main-sequence may allow the ocean planets suggested by Leger et.
al. to form without migration.
| astro-ph | we use a semianalytic circumstellar disk model that considers movement of the snow line through evolution of accretion and the central star to investigate how gas giant frequency changes with stellar mass the snow line distance changes weakly with stellar mass thus giant planets form over a wide range of spectral types the probability that a given star has at least one gas giant increases linearly with stellar mass from 04 m_sun to 3 m_sun stars more massive than 3 m_sun evolve quickly to the mainsequence which pushes the snow line to 1015 au before protoplanets form and limits the range of disk masses that form giant planet cores if the frequency of gas giants around solarmass stars is 6 we predict occurrence rates of 1 for 04 m_sun stars and 10 for 15 m_sun stars this result is largely insensitive to our assumed model parameters finally the movement of the snow line as stars 25 m_sun move to the mainsequence may allow the ocean planets suggested by leger et al to form without migration | [['we', 'use', 'a', 'semianalytic', 'circumstellar', 'disk', 'model', 'that', 'considers', 'movement', 'of', 'the', 'snow', 'line', 'through', 'evolution', 'of', 'accretion', 'and', 'the', 'central', 'star', 'to', 'investigate', 'how', 'gas', 'giant', 'frequency', 'changes', 'with', 'stellar', 'mass', 'the', 'snow', 'line', 'distance', 'changes', 'weakly', 'with', 'stellar', 'mass', 'thus', 'giant', 'planets', 'form', 'over', 'a', 'wide', 'range', 'of', 'spectral', 'types', 'the', 'probability', 'that', 'a', 'given', 'star', 'has', 'at', 'least', 'one', 'gas', 'giant', 'increases', 'linearly', 'with', 'stellar', 'mass', 'from', '04', 'm_sun', 'to', '3', 'm_sun', 'stars', 'more', 'massive', 'than', '3', 'm_sun', 'evolve', 'quickly', 'to', 'the', 'mainsequence', 'which', 'pushes', 'the', 'snow', 'line', 'to', '1015', 'au', 'before', 'protoplanets', 'form', 'and', 'limits', 'the', 'range', 'of', 'disk', 'masses', 'that', 'form', 'giant', 'planet', 'cores', 'if', 'the', 'frequency', 'of', 'gas', 'giants', 'around', 'solarmass', 'stars', 'is', '6', 'we', 'predict', 'occurrence', 'rates', 'of', '1', 'for', '04', 'm_sun', 'stars', 'and', '10', 'for', '15', 'm_sun', 'stars', 'this', 'result', 'is', 'largely', 'insensitive', 'to', 'our', 'assumed', 'model', 'parameters', 'finally', 'the', 'movement', 'of', 'the', 'snow', 'line', 'as', 'stars', '25', 'm_sun', 'move', 'to', 'the', 'mainsequence', 'may', 'allow', 'the', 'ocean', 'planets', 'suggested', 'by', 'leger', 'et', 'al', 'to', 'form', 'without', 'migration']] | [-0.052767535199610784, 0.1730209914648107, 0.016790744361600704, 0.05047654790870313, -0.12988093405695897, -0.022687625414026635, 0.09260757221973367, 0.3737782629472869, -0.11925846899726561, -0.38095498288050295, 0.04940195593716843, -0.26774542428553105, -0.00743141917777913, 0.17217596941494515, -0.06848025462057973, -0.02459282425365278, 0.10344420035236648, -0.06983823420346848, -0.055605428057855795, -0.2772052847886724, 0.3280478406005672, 0.02614048709344518, 0.06261741702311806, -0.006829249156372888, 0.016807877437677234, -0.14702100625261663, 0.023588858574096646, -0.11994578987892185, -0.2346893797674732, -0.02234003938526647, 0.20423954159021376, 0.1601830198056996, 0.23508201387843916, -0.35740278780460355, -0.21133584637727057, 0.036862415876239535, 0.23665385988407903, 0.0135503639673282, -0.03674793307777561, -0.23363167277271193, 0.11540548526282822, -0.2535119317139366, -0.22013165524495498, 0.1149020025666271, 0.0930440671688744, 0.004786466570304973, -0.2610459663931813, 0.12803523930654462, 0.07651810325416071, 0.08420705869261708, -0.09775780600495637, -0.12269969584885984, -0.12502167789132468, 0.051757644332413165, 0.028447776001745036, 0.07569691651567284, 0.26448652071080037, -0.07265188213570842, 0.06172111787833273, 0.42222187027867353, -0.11116479281543953, -0.014838770478963852, 0.26922694278082676, -0.24238913160615733, -0.11380508484402006, 0.18448043169719833, 0.1876864497682878, 0.15004115980384605, -0.16060005154859808, -0.04345196936645412, 0.003305022579484752, 0.24400497395146106, 0.11243457088513034, -0.008442736422376973, 0.4163068666043026, 0.1318705721731697, 0.04682937647349068, 0.013787704772715058, -0.24849293480361145, -0.09718606106171916, -0.12203120425210467, -0.10709787853594337, -0.11799045027632798, 0.09154217888867217, -0.1718380791930914, -0.11360609669770513, 0.30532268688099323, 0.12336340572485434, 0.2657815092961703, 0.08553736830995019, 0.2860300924469318, 0.09579108060736741, 0.1392647840401956, 0.16242071739797082, 0.29115988004420484, 0.21636726015513497, 0.09820892619168652, -0.23028679797558912, 0.05616880597945835, -0.00969565463917596] |
710.1066 | Detailed Examination of Transport Coefficients in Cubic-Plus-Quartic
Oscillator Chains | We examine the thermal conductivity and bulk viscosity of a one-dimensional
(1D) chain of particles with cubic-plus-quartic interparticle potentials and no
on-site potentials. This system is equivalent to the FPU-alpha beta system in a
subset of its parameter space. We identify three distinct frequency regimes
which we call the hydrodynamic regime, the perturbative regime and the
collisionless regime. In the lowest frequency regime (the hydrodynamic regime)
heat is transported ballistically by long wavelength sound modes. The model
that we use to describe this behaviour predicts that as the frequency goes to
zero the frequency dependent bulk viscosity and the frequency dependent thermal
conductivity should diverge with the same power law dependence on frequency.
Thus, we can define the bulk Prandtl number as the ratio of the bulk viscosity
to the thermal conductivity (with suitable prefactors to render it
dimensionless). This dimensionless ratio should approach a constant value as
frequency goes to zero. We use mode-coupling theory to predict the zero
frequency limit. Values of the bulk Prandtl number from simulations are in
agreement with these predictions over a wide range of system parameters. In the
middle frequency regime, which we call the perturbative regime, heat is
transported by sound modes which are damped by four-phonon processes. We call
the highest frequency regime the collisionless regime since at these
frequencies the observing times are much shorter than the characteristic
relaxation times of phonons. The perturbative and collisionless regimes are
discussed in detail in the appendices.
| cond-mat.stat-mech | we examine the thermal conductivity and bulk viscosity of a onedimensional 1d chain of particles with cubicplusquartic interparticle potentials and no onsite potentials this system is equivalent to the fpualpha beta system in a subset of its parameter space we identify three distinct frequency regimes which we call the hydrodynamic regime the perturbative regime and the collisionless regime in the lowest frequency regime the hydrodynamic regime heat is transported ballistically by long wavelength sound modes the model that we use to describe this behaviour predicts that as the frequency goes to zero the frequency dependent bulk viscosity and the frequency dependent thermal conductivity should diverge with the same power law dependence on frequency thus we can define the bulk prandtl number as the ratio of the bulk viscosity to the thermal conductivity with suitable prefactors to render it dimensionless this dimensionless ratio should approach a constant value as frequency goes to zero we use modecoupling theory to predict the zero frequency limit values of the bulk prandtl number from simulations are in agreement with these predictions over a wide range of system parameters in the middle frequency regime which we call the perturbative regime heat is transported by sound modes which are damped by fourphonon processes we call the highest frequency regime the collisionless regime since at these frequencies the observing times are much shorter than the characteristic relaxation times of phonons the perturbative and collisionless regimes are discussed in detail in the appendices | [['we', 'examine', 'the', 'thermal', 'conductivity', 'and', 'bulk', 'viscosity', 'of', 'a', 'onedimensional', '1d', 'chain', 'of', 'particles', 'with', 'cubicplusquartic', 'interparticle', 'potentials', 'and', 'no', 'onsite', 'potentials', 'this', 'system', 'is', 'equivalent', 'to', 'the', 'fpualpha', 'beta', 'system', 'in', 'a', 'subset', 'of', 'its', 'parameter', 'space', 'we', 'identify', 'three', 'distinct', 'frequency', 'regimes', 'which', 'we', 'call', 'the', 'hydrodynamic', 'regime', 'the', 'perturbative', 'regime', 'and', 'the', 'collisionless', 'regime', 'in', 'the', 'lowest', 'frequency', 'regime', 'the', 'hydrodynamic', 'regime', 'heat', 'is', 'transported', 'ballistically', 'by', 'long', 'wavelength', 'sound', 'modes', 'the', 'model', 'that', 'we', 'use', 'to', 'describe', 'this', 'behaviour', 'predicts', 'that', 'as', 'the', 'frequency', 'goes', 'to', 'zero', 'the', 'frequency', 'dependent', 'bulk', 'viscosity', 'and', 'the', 'frequency', 'dependent', 'thermal', 'conductivity', 'should', 'diverge', 'with', 'the', 'same', 'power', 'law', 'dependence', 'on', 'frequency', 'thus', 'we', 'can', 'define', 'the', 'bulk', 'prandtl', 'number', 'as', 'the', 'ratio', 'of', 'the', 'bulk', 'viscosity', 'to', 'the', 'thermal', 'conductivity', 'with', 'suitable', 'prefactors', 'to', 'render', 'it', 'dimensionless', 'this', 'dimensionless', 'ratio', 'should', 'approach', 'a', 'constant', 'value', 'as', 'frequency', 'goes', 'to', 'zero', 'we', 'use', 'modecoupling', 'theory', 'to', 'predict', 'the', 'zero', 'frequency', 'limit', 'values', 'of', 'the', 'bulk', 'prandtl', 'number', 'from', 'simulations', 'are', 'in', 'agreement', 'with', 'these', 'predictions', 'over', 'a', 'wide', 'range', 'of', 'system', 'parameters', 'in', 'the', 'middle', 'frequency', 'regime', 'which', 'we', 'call', 'the', 'perturbative', 'regime', 'heat', 'is', 'transported', 'by', 'sound', 'modes', 'which', 'are', 'damped', 'by', 'fourphonon', 'processes', 'we', 'call', 'the', 'highest', 'frequency', 'regime', 'the', 'collisionless', 'regime', 'since', 'at', 'these', 'frequencies', 'the', 'observing', 'times', 'are', 'much', 'shorter', 'than', 'the', 'characteristic', 'relaxation', 'times', 'of', 'phonons', 'the', 'perturbative', 'and', 'collisionless', 'regimes', 'are', 'discussed', 'in', 'detail', 'in', 'the', 'appendices']] | [-0.1722987305473013, 0.23082087737939144, -0.0641919353665122, 0.017045635431774023, -0.058599800367893515, -0.12018045481902447, 0.051428023859721894, 0.3209359849656909, -0.27968569353900175, -0.2358736753375231, 0.05724919055038216, -0.27712343158662195, -0.06977733078582044, 0.21639770755548154, 0.029440973360045267, 0.03356292709826794, -0.002711471425146172, 0.006848563737436082, -0.03244538743564598, -0.1562686480296976, 0.2736005010660584, 0.08863250625392899, 0.29730237686856503, 0.021832001726970477, 0.061555970560235915, -0.042387222545991136, 0.05259621906871638, 0.04674995326124851, -0.2085316487117637, -0.0227848580929697, 0.24657358879546734, -0.05011372813716346, 0.25642680781239197, -0.40615545621157184, -0.23388005755764762, 0.06409544137514327, 0.16961570720049776, 0.11566013300431553, 0.06681949241723757, -0.18990094245850178, 0.028490317167621876, -0.1672912034021367, -0.14569841901538894, -0.07062337789222721, 0.04708905004865436, 0.012460075857594979, -0.2680743449090495, 0.1594201305429913, 0.02716120491420065, 0.015405066932882528, -0.07290380589388819, -0.1026524039522229, -0.008339543846120272, 0.09403140084002136, 0.10869680105925976, -0.0191716307659695, 0.17708874949685122, -0.14073826408702572, -0.02169822790075001, 0.3678748982666014, -0.11376571229858418, -0.17637259678911293, 0.22767573849044062, -0.2227051226337525, -0.03932188228080588, 0.14709881160151855, 0.13429974481340282, 0.10020238070326981, -0.11045607135434873, 0.09057080328983086, -0.006290989373772105, 0.18205010451264353, 0.08706537050614518, 0.07257833615185819, 0.23746015658276926, 0.15511115405262133, 0.0021211581558666444, 0.1362348540362802, -0.10748824688956173, -0.07699957392313171, -0.30159325088751465, -0.10558042255776727, -0.19388884502032017, 0.04343497333379185, -0.11060854589367192, -0.16136612037142878, 0.39292969680506706, 0.19275030129686208, 0.19496662481610993, 0.0911376371740148, 0.277568521754516, 0.2209447058642183, 0.03718092645737843, 0.08207793393333958, 0.2907017059797375, 0.1369193585710754, 0.14717969464278619, -0.28290169540319343, -0.013233344575721185, 0.05291632753854602] |
710.1067 | Magnetic-field fluctuations around the radio galaxy 3C 31 | We present an analysis of the magnetic-field fluctuations in the magnetoionic
medium in front of the radio galaxy 3C 31 derived from rotation-measure (RM)
fits to high-resolution polarization images. We first show that the Faraday
rotation must be due primarily to a foreground medium. We determine the RM
structure functions for different parts of the source and infer that the
simplest form for the power spectrum is a power law with a high-frequency
cutoff. We also present three-dimensional simulations of RM produced by a
tangled magnetic field in the hot plasma surrounding 3C 31, and show that the
observed RM distribution is consistent with a spherical plasma distribution in
which the radio source has produced a cavity.
| astro-ph | we present an analysis of the magneticfield fluctuations in the magnetoionic medium in front of the radio galaxy 3c 31 derived from rotationmeasure rm fits to highresolution polarization images we first show that the faraday rotation must be due primarily to a foreground medium we determine the rm structure functions for different parts of the source and infer that the simplest form for the power spectrum is a power law with a highfrequency cutoff we also present threedimensional simulations of rm produced by a tangled magnetic field in the hot plasma surrounding 3c 31 and show that the observed rm distribution is consistent with a spherical plasma distribution in which the radio source has produced a cavity | [['we', 'present', 'an', 'analysis', 'of', 'the', 'magneticfield', 'fluctuations', 'in', 'the', 'magnetoionic', 'medium', 'in', 'front', 'of', 'the', 'radio', 'galaxy', '3c', '31', 'derived', 'from', 'rotationmeasure', 'rm', 'fits', 'to', 'highresolution', 'polarization', 'images', 'we', 'first', 'show', 'that', 'the', 'faraday', 'rotation', 'must', 'be', 'due', 'primarily', 'to', 'a', 'foreground', 'medium', 'we', 'determine', 'the', 'rm', 'structure', 'functions', 'for', 'different', 'parts', 'of', 'the', 'source', 'and', 'infer', 'that', 'the', 'simplest', 'form', 'for', 'the', 'power', 'spectrum', 'is', 'a', 'power', 'law', 'with', 'a', 'highfrequency', 'cutoff', 'we', 'also', 'present', 'threedimensional', 'simulations', 'of', 'rm', 'produced', 'by', 'a', 'tangled', 'magnetic', 'field', 'in', 'the', 'hot', 'plasma', 'surrounding', '3c', '31', 'and', 'show', 'that', 'the', 'observed', 'rm', 'distribution', 'is', 'consistent', 'with', 'a', 'spherical', 'plasma', 'distribution', 'in', 'which', 'the', 'radio', 'source', 'has', 'produced', 'a', 'cavity']] | [-0.11572372724310073, 0.10288021514208641, -0.0906196160831003, 0.05486671341599053, -0.06648746433739479, -0.02308830343441576, -0.04678243938505124, 0.4229289268453916, -0.23259700649282616, -0.2967123630273546, 0.0681778558362753, -0.25133169028494096, -0.04021067565513982, 0.1991454008887084, 0.021856176752983153, -0.045427564551464766, -0.01947185355358017, -0.03603476776072803, -0.01845082725521623, -0.10594930212236305, 0.2966872764767235, 0.09918846087291455, 0.26902784045753825, 0.008624475385643478, 0.0948255204806566, -0.07274715376731294, -0.04642119940418082, 0.03409000369123159, -0.08896860616791816, 0.07112135924299398, 0.18100733914149877, 0.09727252919513446, 0.17058055731467903, -0.40580173392390084, -0.2489173015436301, 0.06225843836839955, 0.15998757621034598, 0.06642067085048105, -0.09182728069205569, -0.2569316082562392, 0.08500997316187774, -0.18102408265774575, -0.16122528000010383, 0.03535833995407208, 0.032818982789579496, 0.010277853610041814, -0.27794463720628354, 0.11841178683411832, 0.010523509438165551, 0.06242983034437793, -0.09323375428525302, -0.051200315272674345, -0.03586714627205306, 0.08055729433022535, 0.02335535801756076, 0.06175303707918168, 0.1648196099509095, -0.14298419615166247, -0.042264805022133596, 0.42031049431484735, -0.09564571029259863, -0.09319905365188406, 0.14221945947680908, -0.23582834731707844, -0.16127497366924062, 0.15248298897352228, 0.19124084708686823, 0.09496030990865417, -0.13235988750960279, 0.036096850270803414, -0.09324058843378583, 0.22619722489044708, 0.030565772062310807, 0.016910400874559514, 0.2523884282678238, 0.09509651623984687, -0.006816501944110944, 0.18122111286263531, -0.2070319362772772, 0.01700768179586555, -0.28397698347799033, -0.09072946738372119, -0.16127678690255326, 0.09429915137011877, -0.11111664398285784, -0.1347231340045348, 0.3940899216780901, 0.11774199647017014, 0.20659432088176155, -0.0011507713884656501, 0.3237390363286448, 0.11075056021889815, 0.04581059096381068, 0.15720178928518763, 0.29021031856457263, 0.1838889199997593, 0.0987886674861368, -0.23028796947656724, 0.008451964594742171, -0.028388661642869312] |
710.1068 | Information and Entropy | What is information? Is it physical? We argue that in a Bayesian theory the
notion of information must be defined in terms of its effects on the beliefs of
rational agents. Information is whatever constrains rational beliefs and
therefore it is the force that induces us to change our minds. This problem of
updating from a prior to a posterior probability distribution is tackled
through an eliminative induction process that singles out the logarithmic
relative entropy as the unique tool for inference. The resulting method of
Maximum relative Entropy (ME), which is designed for updating from arbitrary
priors given information in the form of arbitrary constraints, includes as
special cases both MaxEnt (which allows arbitrary constraints) and Bayes' rule
(which allows arbitrary priors). Thus, ME unifies the two themes of these
workshops -- the Maximum Entropy and the Bayesian methods -- into a single
general inference scheme that allows us to handle problems that lie beyond the
reach of either of the two methods separately. I conclude with a couple of
simple illustrative examples.
| physics.data-an cond-mat.stat-mech gr-qc math.ST physics.gen-ph stat.TH | what is information is it physical we argue that in a bayesian theory the notion of information must be defined in terms of its effects on the beliefs of rational agents information is whatever constrains rational beliefs and therefore it is the force that induces us to change our minds this problem of updating from a prior to a posterior probability distribution is tackled through an eliminative induction process that singles out the logarithmic relative entropy as the unique tool for inference the resulting method of maximum relative entropy me which is designed for updating from arbitrary priors given information in the form of arbitrary constraints includes as special cases both maxent which allows arbitrary constraints and bayes rule which allows arbitrary priors thus me unifies the two themes of these workshops the maximum entropy and the bayesian methods into a single general inference scheme that allows us to handle problems that lie beyond the reach of either of the two methods separately i conclude with a couple of simple illustrative examples | [['what', 'is', 'information', 'is', 'it', 'physical', 'we', 'argue', 'that', 'in', 'a', 'bayesian', 'theory', 'the', 'notion', 'of', 'information', 'must', 'be', 'defined', 'in', 'terms', 'of', 'its', 'effects', 'on', 'the', 'beliefs', 'of', 'rational', 'agents', 'information', 'is', 'whatever', 'constrains', 'rational', 'beliefs', 'and', 'therefore', 'it', 'is', 'the', 'force', 'that', 'induces', 'us', 'to', 'change', 'our', 'minds', 'this', 'problem', 'of', 'updating', 'from', 'a', 'prior', 'to', 'a', 'posterior', 'probability', 'distribution', 'is', 'tackled', 'through', 'an', 'eliminative', 'induction', 'process', 'that', 'singles', 'out', 'the', 'logarithmic', 'relative', 'entropy', 'as', 'the', 'unique', 'tool', 'for', 'inference', 'the', 'resulting', 'method', 'of', 'maximum', 'relative', 'entropy', 'me', 'which', 'is', 'designed', 'for', 'updating', 'from', 'arbitrary', 'priors', 'given', 'information', 'in', 'the', 'form', 'of', 'arbitrary', 'constraints', 'includes', 'as', 'special', 'cases', 'both', 'maxent', 'which', 'allows', 'arbitrary', 'constraints', 'and', 'bayes', 'rule', 'which', 'allows', 'arbitrary', 'priors', 'thus', 'me', 'unifies', 'the', 'two', 'themes', 'of', 'these', 'workshops', 'the', 'maximum', 'entropy', 'and', 'the', 'bayesian', 'methods', 'into', 'a', 'single', 'general', 'inference', 'scheme', 'that', 'allows', 'us', 'to', 'handle', 'problems', 'that', 'lie', 'beyond', 'the', 'reach', 'of', 'either', 'of', 'the', 'two', 'methods', 'separately', 'i', 'conclude', 'with', 'a', 'couple', 'of', 'simple', 'illustrative', 'examples']] | [-0.053043080801090096, 0.0656855816305324, -0.14744745024349973, 0.08585302380621469, -0.15387052243986968, -0.15790580309450972, 0.09158299621590549, 0.3425777685005478, -0.2972925529560767, -0.3053591086063534, 0.07986067991120319, -0.23943359485370863, -0.13684445424655148, 0.1678093947378139, -0.08186961276738276, 0.03298640692421116, 0.04703236346235932, 0.0842221352883593, -0.08912731954817076, -0.2588989642979361, 0.32840295520686913, 0.05093881110444145, 0.27537214324056974, 0.036171694783640074, 0.16076924878735702, 0.03584566235482736, -0.04403996986044614, 0.037848195989100046, -0.12780764549101742, 0.16322467313486497, 0.2692031895560429, 0.21707702705062665, 0.33949896596848617, -0.3838701043061392, -0.2029527884009186, 0.10935074312417487, 0.11412303742470739, 0.12088310921924773, 0.047036496085131024, -0.2462459716371932, 0.03544147733428386, -0.19136203875694813, -0.08306347469387707, -0.09873184977846523, -0.014137452171823052, 0.009432732859602047, -0.3327931904116054, 0.049800577319665744, 0.09937274898038595, 0.022854190823340486, -0.04211381427520009, -0.08698546820317482, -0.027707872060831463, 0.13068566691884392, 0.05377695045036637, 0.009974121286663725, 0.1448156417152563, -0.11837037990741475, -0.13999911083374172, 0.36171892178136594, -0.022116013705123994, -0.2512376504709273, 0.13401852432383918, -0.0796387761744649, -0.15419750850171196, 0.11228824162457766, 0.14090312330517918, 0.13574488131535176, -0.1661493239009233, 0.08077921181731738, -0.034986307666512464, 0.1386467723303128, 0.0392695103100566, -0.007487641720302257, 0.2237902709992256, 0.11323626819581097, 0.09215134215983833, 0.11752624858406285, -0.06805506339540358, -0.15147537985128937, -0.3126302900951529, -0.1514652427840913, -0.1660389338449445, 0.019721826807823205, -0.12018863568436097, -0.1694234443969245, 0.36063271452107876, 0.1914158348619483, 0.18676222644497228, 0.055784824013921194, 0.28165847558438845, 0.10248208227012372, 0.05780833412427455, 0.06209813964249956, 0.21234376222263415, 0.14346772836532098, 0.034766538761729415, -0.1705059398610015, 0.11889458458591794, 0.02101347698331919] |
710.1069 | Separating baryons and dark matter in cluster cores: a full 2-D lensing
and dynamic analysis of Abell 383 and MS2137-23 | (abridged) We utilize existing imaging and spectroscopic data for the galaxy
clusters MS2137-23 and Abell 383 to present improved measures of the
distribution of dark and baryonic material in the clusters' central regions.
Our method, based on the combination of gravitational lensing and dynamical
data, is uniquely capable of separating the distribution of dark and baryonic
components at scales below 100 kpc. We find a variety of strong lensing models
fit the available data, including some with dark matter profiles as steep as
expected from recent simulations. However, when combined with stellar velocity
dispersion data for the brightest member, shallower inner slopes than predicted
by numerical simulations are preferred. For Abell 383, the preferred shallow
inner slopes are statistically a good fit only when the multiple image position
uncertainties associated with our lens model are assumed to be 0\farcs5, to
account for unknown substructure. No statistically satisfactory fit was
obtained matching both the multiple image lensing data and the velocity
dispersion profile of the brightest cluster galaxy in MS2137-23. This suggests
that the mass model we are using, which comprises a pseudo-elliptical
generalized NFW profile and a brightest cluster galaxy component may
inadequately represent the inner cluster regions. This may plausibly arise due
to halo triaxiality or by the gravitational interaction of baryons and dark
matter in cluster cores. However, the progress made via this detailed study
highlights the key role that complementary observations of lensed features and
stellar dynamics offer in understanding the interaction between dark and
baryonic matter on non-linear scales in the central regions of clusters.
| astro-ph | abridged we utilize existing imaging and spectroscopic data for the galaxy clusters ms213723 and abell 383 to present improved measures of the distribution of dark and baryonic material in the clusters central regions our method based on the combination of gravitational lensing and dynamical data is uniquely capable of separating the distribution of dark and baryonic components at scales below 100 kpc we find a variety of strong lensing models fit the available data including some with dark matter profiles as steep as expected from recent simulations however when combined with stellar velocity dispersion data for the brightest member shallower inner slopes than predicted by numerical simulations are preferred for abell 383 the preferred shallow inner slopes are statistically a good fit only when the multiple image position uncertainties associated with our lens model are assumed to be 0farcs5 to account for unknown substructure no statistically satisfactory fit was obtained matching both the multiple image lensing data and the velocity dispersion profile of the brightest cluster galaxy in ms213723 this suggests that the mass model we are using which comprises a pseudoelliptical generalized nfw profile and a brightest cluster galaxy component may inadequately represent the inner cluster regions this may plausibly arise due to halo triaxiality or by the gravitational interaction of baryons and dark matter in cluster cores however the progress made via this detailed study highlights the key role that complementary observations of lensed features and stellar dynamics offer in understanding the interaction between dark and baryonic matter on nonlinear scales in the central regions of clusters | [['abridged', 'we', 'utilize', 'existing', 'imaging', 'and', 'spectroscopic', 'data', 'for', 'the', 'galaxy', 'clusters', 'ms213723', 'and', 'abell', '383', 'to', 'present', 'improved', 'measures', 'of', 'the', 'distribution', 'of', 'dark', 'and', 'baryonic', 'material', 'in', 'the', 'clusters', 'central', 'regions', 'our', 'method', 'based', 'on', 'the', 'combination', 'of', 'gravitational', 'lensing', 'and', 'dynamical', 'data', 'is', 'uniquely', 'capable', 'of', 'separating', 'the', 'distribution', 'of', 'dark', 'and', 'baryonic', 'components', 'at', 'scales', 'below', '100', 'kpc', 'we', 'find', 'a', 'variety', 'of', 'strong', 'lensing', 'models', 'fit', 'the', 'available', 'data', 'including', 'some', 'with', 'dark', 'matter', 'profiles', 'as', 'steep', 'as', 'expected', 'from', 'recent', 'simulations', 'however', 'when', 'combined', 'with', 'stellar', 'velocity', 'dispersion', 'data', 'for', 'the', 'brightest', 'member', 'shallower', 'inner', 'slopes', 'than', 'predicted', 'by', 'numerical', 'simulations', 'are', 'preferred', 'for', 'abell', '383', 'the', 'preferred', 'shallow', 'inner', 'slopes', 'are', 'statistically', 'a', 'good', 'fit', 'only', 'when', 'the', 'multiple', 'image', 'position', 'uncertainties', 'associated', 'with', 'our', 'lens', 'model', 'are', 'assumed', 'to', 'be', '0farcs5', 'to', 'account', 'for', 'unknown', 'substructure', 'no', 'statistically', 'satisfactory', 'fit', 'was', 'obtained', 'matching', 'both', 'the', 'multiple', 'image', 'lensing', 'data', 'and', 'the', 'velocity', 'dispersion', 'profile', 'of', 'the', 'brightest', 'cluster', 'galaxy', 'in', 'ms213723', 'this', 'suggests', 'that', 'the', 'mass', 'model', 'we', 'are', 'using', 'which', 'comprises', 'a', 'pseudoelliptical', 'generalized', 'nfw', 'profile', 'and', 'a', 'brightest', 'cluster', 'galaxy', 'component', 'may', 'inadequately', 'represent', 'the', 'inner', 'cluster', 'regions', 'this', 'may', 'plausibly', 'arise', 'due', 'to', 'halo', 'triaxiality', 'or', 'by', 'the', 'gravitational', 'interaction', 'of', 'baryons', 'and', 'dark', 'matter', 'in', 'cluster', 'cores', 'however', 'the', 'progress', 'made', 'via', 'this', 'detailed', 'study', 'highlights', 'the', 'key', 'role', 'that', 'complementary', 'observations', 'of', 'lensed', 'features', 'and', 'stellar', 'dynamics', 'offer', 'in', 'understanding', 'the', 'interaction', 'between', 'dark', 'and', 'baryonic', 'matter', 'on', 'nonlinear', 'scales', 'in', 'the', 'central', 'regions', 'of', 'clusters']] | [-0.06316168384616543, 0.060411916500327074, -0.12815076934449113, 0.11894948396773769, -0.11807359461237746, -0.06568724157402821, -0.017407695130455935, 0.3865553052218971, -0.18878611245333918, -0.3934239049800871, 0.03188989273451834, -0.2944345349239381, -0.03364548407194245, 0.20068108144303212, 0.03064308715042031, 0.023023412629041517, 0.0748360790892102, -0.053488757483052374, -0.041128691072949, -0.240694892411084, 0.33857900711276534, 0.06439811395932395, 0.20142507551651057, -0.021970693603636342, 0.06742463902985235, -0.04770837316891099, -0.11139631529831498, 0.004410964846774095, -0.14652939368401072, 0.07207433299178707, 0.2184611817466754, 0.10892702868128565, 0.21137089154081498, -0.3758781796641981, -0.23048018608405346, 0.10403767865375844, 0.22096716847763567, 0.06140406901181716, -0.0969375983154191, -0.3230991287642532, 0.0656398447748665, -0.1716977173774159, -0.15127956692187355, 0.015217364987662851, 0.005136191729713931, 0.04308338908130731, -0.22282577184634103, 0.2220328990823013, -0.019726952013006102, 0.030365396054110087, -0.09630625616172002, -0.12005551578114643, -0.051865900620267316, 0.07270709021267906, 0.01109372157465797, 0.05372591848043065, 0.2003263870579397, -0.18309389076608773, -0.00434291546671481, 0.42663356413202297, -0.05860188569773237, -0.06769941770834015, 0.2057053775676972, -0.1690874283441165, -0.1868550593363201, 0.10357912852164314, 0.16523425728363503, 0.02468416292550122, -0.1508336396520307, 0.018366440262279477, -0.04684658951020948, 0.2355791359563659, 0.02622549765623729, 0.02095789858655314, 0.34859503039561124, 0.12300812418061646, 0.04257082858220615, 0.07409701299906168, -0.19603574625873244, -0.05186259985723848, -0.25152995337411427, -0.056478280751650664, -0.13950974863758203, -0.024494605022029596, -0.1388020888400121, -0.12488052555167838, 0.3492717959588314, 0.09714722123942864, 0.22766658090460856, 0.06560288308186507, 0.3259826018148852, 0.03767267433683667, 0.10565634114588049, 0.09330633229028854, 0.3075229052137375, 0.17334811570999803, 0.039204621061516, -0.22303830910426953, 0.051083727694906524, -0.05393099449466233] |
710.107 | Decays of mesons with charm quarks on the lattice | We investigate mesons containing charm quarks on fine lattices with a^{-1}
\sim 5 GeV. The quenched approximation is employed using the Wilson gauge
action at \beta = 6.6 and nonperturbatively O(a) improved Wilson quarks. We
present results for decay constants using various interpolating fields and give
preliminary results for form factors of semileptonic decays of D_s mesons to
light pseudoscalar mesons.
| hep-lat | we investigate mesons containing charm quarks on fine lattices with a1 sim 5 gev the quenched approximation is employed using the wilson gauge action at beta 66 and nonperturbatively oa improved wilson quarks we present results for decay constants using various interpolating fields and give preliminary results for form factors of semileptonic decays of d_s mesons to light pseudoscalar mesons | [['we', 'investigate', 'mesons', 'containing', 'charm', 'quarks', 'on', 'fine', 'lattices', 'with', 'a1', 'sim', '5', 'gev', 'the', 'quenched', 'approximation', 'is', 'employed', 'using', 'the', 'wilson', 'gauge', 'action', 'at', 'beta', '66', 'and', 'nonperturbatively', 'oa', 'improved', 'wilson', 'quarks', 'we', 'present', 'results', 'for', 'decay', 'constants', 'using', 'various', 'interpolating', 'fields', 'and', 'give', 'preliminary', 'results', 'for', 'form', 'factors', 'of', 'semileptonic', 'decays', 'of', 'd_s', 'mesons', 'to', 'light', 'pseudoscalar', 'mesons']] | [-0.04323963439868142, 0.358784989399525, -0.05080268003512174, 0.15549789683621687, -0.010859154467470943, -0.1544844696763903, 0.12261860295160053, 0.42010011076927184, -0.09598116766040524, -0.17834180480955789, -0.055432890349038644, -0.3495163641559581, 0.041507571710584064, 0.08054993759530286, 0.12192717517415683, 0.14022143070275586, 0.1136370760097634, -0.023441372613888234, -0.08632886998238973, -0.27360966239745416, 0.3044026001046101, -0.08204805111357322, 0.14535986185849956, 0.2305834618707498, -0.017401917115785183, 0.022012760443612934, -0.05016130491470297, -0.11972683141939341, -0.1380084165216734, 0.07490970625076443, 0.08130850171049436, 0.020045755970447013, 0.06783619454751412, -0.3092407464049757, -0.08330962139104182, 0.0775387698241199, 0.2211535637344544, 0.06426661315684518, -0.018670444572732474, -0.34987441545818, 0.1263643207338949, -0.13432394039894766, -0.1678938691446092, -0.2125124205990384, -0.03452933776037147, -0.09761995794251561, -0.41348359260397655, 0.08286837479099632, -0.17817733536746042, 0.14048680466754984, -0.025923712505027653, -0.3236385850002989, 0.08218706087015258, 0.06706581929853807, 0.17960252158227377, 0.18257734084812302, 0.1717818560854842, -0.18017352105428774, -0.19191979613387958, 0.4604825303889811, -0.1484589448819558, -0.21086558861037094, 0.10272310050980499, -0.17697002597463626, -0.16611769915713617, 0.11472815078523127, 0.2522703911643475, 0.054569108947180214, -0.19697081204503775, 0.12403087509446778, -0.08113357320738336, 0.19024219908751547, 0.16410944191738963, 0.09582820465244973, 0.13725574895118672, 0.14035461547318845, -0.11401422647759318, 0.0444806314073503, -0.007139567274134606, -0.02334847063369428, -0.3879088599855701, -0.08755846874167522, -0.040912530935990316, 0.16070852220679324, -0.16016268988557084, -0.07621010827521484, 0.40787277213530615, 0.006177936137343447, 0.21416573668053995, 0.026549110763395826, 0.22472300960992772, 0.04501203039350609, 0.07426244902890175, 0.17343036098172887, 0.2958749710271756, 0.2570838511300584, 0.15531426055046418, -0.2982085150123263, -0.16516993472663064, 0.1740388424989457] |
710.1071 | From Information Geometry to Newtonian Dynamics | Newtonian dynamics is derived from prior information codified into an
appropriate statistical model. The basic assumption is that there is an
irreducible uncertainty in the location of particles so that the state of a
particle is defined by a probability distribution. The corresponding
configuration space is a statistical manifold the geometry of which is defined
by the information metric. The trajectory follows from a principle of
inference, the method of Maximum Entropy. No additional "physical" postulates
such as an equation of motion, or an action principle, nor the concepts of
momentum and of phase space, not even the notion of time, need to be
postulated. The resulting entropic dynamics reproduces the Newtonian dynamics
of any number of particles interacting among themselves and with external
fields. Both the mass of the particles and their interactions are explained as
a consequence of the underlying statistical manifold.
| physics.class-ph gr-qc nlin.CD physics.data-an | newtonian dynamics is derived from prior information codified into an appropriate statistical model the basic assumption is that there is an irreducible uncertainty in the location of particles so that the state of a particle is defined by a probability distribution the corresponding configuration space is a statistical manifold the geometry of which is defined by the information metric the trajectory follows from a principle of inference the method of maximum entropy no additional physical postulates such as an equation of motion or an action principle nor the concepts of momentum and of phase space not even the notion of time need to be postulated the resulting entropic dynamics reproduces the newtonian dynamics of any number of particles interacting among themselves and with external fields both the mass of the particles and their interactions are explained as a consequence of the underlying statistical manifold | [['newtonian', 'dynamics', 'is', 'derived', 'from', 'prior', 'information', 'codified', 'into', 'an', 'appropriate', 'statistical', 'model', 'the', 'basic', 'assumption', 'is', 'that', 'there', 'is', 'an', 'irreducible', 'uncertainty', 'in', 'the', 'location', 'of', 'particles', 'so', 'that', 'the', 'state', 'of', 'a', 'particle', 'is', 'defined', 'by', 'a', 'probability', 'distribution', 'the', 'corresponding', 'configuration', 'space', 'is', 'a', 'statistical', 'manifold', 'the', 'geometry', 'of', 'which', 'is', 'defined', 'by', 'the', 'information', 'metric', 'the', 'trajectory', 'follows', 'from', 'a', 'principle', 'of', 'inference', 'the', 'method', 'of', 'maximum', 'entropy', 'no', 'additional', 'physical', 'postulates', 'such', 'as', 'an', 'equation', 'of', 'motion', 'or', 'an', 'action', 'principle', 'nor', 'the', 'concepts', 'of', 'momentum', 'and', 'of', 'phase', 'space', 'not', 'even', 'the', 'notion', 'of', 'time', 'need', 'to', 'be', 'postulated', 'the', 'resulting', 'entropic', 'dynamics', 'reproduces', 'the', 'newtonian', 'dynamics', 'of', 'any', 'number', 'of', 'particles', 'interacting', 'among', 'themselves', 'and', 'with', 'external', 'fields', 'both', 'the', 'mass', 'of', 'the', 'particles', 'and', 'their', 'interactions', 'are', 'explained', 'as', 'a', 'consequence', 'of', 'the', 'underlying', 'statistical', 'manifold']] | [-0.130549542269566, 0.15878881269398132, -0.15427135391130126, 0.08820564992007955, -0.06623288816060974, -0.08336046846751641, 0.01451671903648983, 0.31195201984761906, -0.3008692695261238, -0.332747900140627, 0.07460573499863837, -0.24966382990694708, -0.12265606541930335, 0.14555498155095847, -0.05371402739708881, 0.028858841746114194, 0.03986126328204086, 0.11492793664446152, -0.0472028167294209, -0.1645291153634187, 0.35972880549444297, 0.06377391439067044, 0.24832001632441664, 0.007156049085703368, 0.17138153861419092, 0.030354505960228078, -0.007720385532593355, 0.05852876219069003, -0.095391200542205, 0.09878966626840541, 0.16282491142758065, 0.16811977171649536, 0.25433273028789294, -0.407355752437272, -0.24632992293401104, 0.131943310074146, 0.10874620211203971, 0.09954240996072865, -0.011338615867619714, -0.29319094248219496, 0.0019157278454966014, -0.1474149540752276, -0.15883019435892087, -0.04451493992625425, 0.012954676798674174, 0.020031945414504863, -0.24917293191538192, 0.0820554163769379, 0.12611439208962516, 0.046758107181328036, -0.07693259440647024, -0.06105753287879957, -0.07158435989953836, 0.13485692984573283, 0.0656523619634552, 0.04482849010835505, 0.16618929689219739, -0.14784016726156957, -0.11787702782506433, 0.4171978876240448, -0.0341461185986797, -0.26749794236901736, 0.1637280793858938, -0.11520854724949459, -0.0887036775950239, 0.13697299137291136, 0.11954272960105704, 0.10235154179584545, -0.18910757522745472, 0.10827488348917945, -0.031916528219072565, 0.16945048082723385, 0.006827827533318971, 0.03689470088688217, 0.2253273847163655, 0.1458611234282014, 0.05375261968260424, 0.08871070750643008, -0.07044403471971034, -0.1568957229093131, -0.34181769407587126, -0.17857257038768795, -0.23296235816087574, 0.06353784136050915, -0.12867414387326587, -0.16030902294733096, 0.33868245470997255, 0.11130606044995754, 0.1991052448671932, 0.03764417852491735, 0.2790116060447569, 0.11974065950198565, 0.04122021904105269, 0.07185917214923797, 0.2504673516313132, 0.14153383252818863, 0.03971250985179924, -0.19025009440439236, 0.08781253274193862, 0.06633663403529984] |
710.1072 | Quadratic algebras related to elliptic curves | We construct quadratic finite-dimensional Poisson algebras and their quantum
versions related to rank N and degree one vector bundles over elliptic curves
with n marked points. The algebras are parameterized by the moduli of curves.
For N=2 and n=1 they coincide with the Sklyanin algebras. We prove that the
Poisson structure is compatible with the Lie-Poisson structure on the direct
sum of n copies of sl(N). The derivation is based on the Poisson reduction from
the canonical brackets on the affine space over the cotangent bundle to the
groups of automorphisms of vector bundles.
| nlin.SI | we construct quadratic finitedimensional poisson algebras and their quantum versions related to rank n and degree one vector bundles over elliptic curves with n marked points the algebras are parameterized by the moduli of curves for n2 and n1 they coincide with the sklyanin algebras we prove that the poisson structure is compatible with the liepoisson structure on the direct sum of n copies of sln the derivation is based on the poisson reduction from the canonical brackets on the affine space over the cotangent bundle to the groups of automorphisms of vector bundles | [['we', 'construct', 'quadratic', 'finitedimensional', 'poisson', 'algebras', 'and', 'their', 'quantum', 'versions', 'related', 'to', 'rank', 'n', 'and', 'degree', 'one', 'vector', 'bundles', 'over', 'elliptic', 'curves', 'with', 'n', 'marked', 'points', 'the', 'algebras', 'are', 'parameterized', 'by', 'the', 'moduli', 'of', 'curves', 'for', 'n2', 'and', 'n1', 'they', 'coincide', 'with', 'the', 'sklyanin', 'algebras', 'we', 'prove', 'that', 'the', 'poisson', 'structure', 'is', 'compatible', 'with', 'the', 'liepoisson', 'structure', 'on', 'the', 'direct', 'sum', 'of', 'n', 'copies', 'of', 'sln', 'the', 'derivation', 'is', 'based', 'on', 'the', 'poisson', 'reduction', 'from', 'the', 'canonical', 'brackets', 'on', 'the', 'affine', 'space', 'over', 'the', 'cotangent', 'bundle', 'to', 'the', 'groups', 'of', 'automorphisms', 'of', 'vector', 'bundles']] | [-0.19551594890257779, 0.08626002050871823, -0.04089573427707829, 0.025092972768222952, -0.11025526051092496, -0.1302953071872446, -0.0219287103564637, 0.3568690630627122, -0.35687045951155905, -0.1962226976719784, 0.07541723236283089, -0.27013430553191203, -0.1720705494183076, 0.18631412534716915, -0.1200764382436396, -0.011184677637078146, 0.03167279892937934, 0.1460596110691574, -0.15910300375036698, -0.3538018622450491, 0.46618676038974144, -0.0004924759206837637, 0.23277358342199883, -0.06029420929584414, 0.15491850552287825, 0.07633284964113239, -0.04152830574720939, -0.03549551889034077, -0.13339731666209, 0.14828024258678582, 0.2841272541975721, 0.02260420432046769, 0.11183950938086243, -0.37971168135273015, -0.12737307536039263, 0.2115425877074929, 0.11061537265963357, -0.013953283835360979, 0.06890557779301394, -0.2372602889948386, 0.07536342381756689, -0.11844628998663578, -0.13865612438344893, -0.06394970991420856, 0.02982137157913654, 0.03959631861405487, -0.2047691898076161, -0.0027331044362422, 0.06049370450869282, 0.12118831089638332, -0.12716613600198973, -0.14862035585448463, -0.13963100452847937, 0.01235083014545764, -0.035739612062164444, 0.015147086279962132, 0.10639378941181968, -0.07553015041977484, -0.19012996166984134, 0.3801186561307057, -0.03352881085246484, -0.27709080884233117, 0.09388682556566486, -0.14928468718550147, -0.1687762066127455, 0.15223785293625391, 0.09177899824336488, 0.13728323467404016, 0.026425677657553413, 0.20692622351294204, -0.11815875523941631, 0.02310937722312643, 0.0694344996801637, -0.03186178536828053, 0.14900020200838435, 0.0628393978732539, 0.07315305386610488, 0.08874155945848039, 0.009079746597327609, -0.1548740468731031, -0.38182006835778975, -0.2248225444283812, -0.0879758749989436, 0.18281129016813405, -0.1765146852113948, -0.16430298620438638, 0.3860401734858355, 0.0305313114671314, 0.2597270333554913, 0.15235670997781006, 0.20529444610818903, 0.10950087689227385, 0.10324493369355084, 0.061256385973080044, 0.11446578234701635, 0.28780944149277393, -0.04027088229331446, -0.1366164118145652, -0.07039426093267158, 0.21977387770931137] |
710.1073 | The Ratio of Helium- to Hydrogen-Atmosphere White Dwarfs: Direct
Evidence for Convective Mixing | We determine the ratio of helium- to hydrogen-atmosphere white dwarf stars as
a function of effective temperature from a model atmosphere analysis of the
infrared photometric data from the Two Micron All Sky Survey combined with
available visual magnitudes. Our study surpasses any previous analysis of this
kind both in terms of the accuracy of the Teff determinations as well as the
size of the sample. We observe that the ratio of helium- to hydrogen-atmosphere
white dwarfs increases gradually from a constant value of ~0.25 between Teff =
15,000 K and 10,000 K to a value twice as large in the range 10,000 > Teff >
8000 K, suggesting that convective mixing, which occurs when the bottom of the
hydrogen convection zone reaches the underlying convective helium envelope, is
responsible for this gradual transition. The comparison of our results with an
approximate model used to describe the outcome of this convective mixing
process implies hydrogen mass layers in the range log M_H/M_tot = -10 to -8 for
about 15% of the DA stars that survived the DA to DB transition near Teff ~
30,000 K, the remainder having presumably more massive layers above log
M_H/M_tot ~ -6.
| astro-ph | we determine the ratio of helium to hydrogenatmosphere white dwarf stars as a function of effective temperature from a model atmosphere analysis of the infrared photometric data from the two micron all sky survey combined with available visual magnitudes our study surpasses any previous analysis of this kind both in terms of the accuracy of the teff determinations as well as the size of the sample we observe that the ratio of helium to hydrogenatmosphere white dwarfs increases gradually from a constant value of 025 between teff 15000 k and 10000 k to a value twice as large in the range 10000 teff 8000 k suggesting that convective mixing which occurs when the bottom of the hydrogen convection zone reaches the underlying convective helium envelope is responsible for this gradual transition the comparison of our results with an approximate model used to describe the outcome of this convective mixing process implies hydrogen mass layers in the range log m_hm_tot 10 to 8 for about 15 of the da stars that survived the da to db transition near teff 30000 k the remainder having presumably more massive layers above log m_hm_tot 6 | [['we', 'determine', 'the', 'ratio', 'of', 'helium', 'to', 'hydrogenatmosphere', 'white', 'dwarf', 'stars', 'as', 'a', 'function', 'of', 'effective', 'temperature', 'from', 'a', 'model', 'atmosphere', 'analysis', 'of', 'the', 'infrared', 'photometric', 'data', 'from', 'the', 'two', 'micron', 'all', 'sky', 'survey', 'combined', 'with', 'available', 'visual', 'magnitudes', 'our', 'study', 'surpasses', 'any', 'previous', 'analysis', 'of', 'this', 'kind', 'both', 'in', 'terms', 'of', 'the', 'accuracy', 'of', 'the', 'teff', 'determinations', 'as', 'well', 'as', 'the', 'size', 'of', 'the', 'sample', 'we', 'observe', 'that', 'the', 'ratio', 'of', 'helium', 'to', 'hydrogenatmosphere', 'white', 'dwarfs', 'increases', 'gradually', 'from', 'a', 'constant', 'value', 'of', '025', 'between', 'teff', '15000', 'k', 'and', '10000', 'k', 'to', 'a', 'value', 'twice', 'as', 'large', 'in', 'the', 'range', '10000', 'teff', '8000', 'k', 'suggesting', 'that', 'convective', 'mixing', 'which', 'occurs', 'when', 'the', 'bottom', 'of', 'the', 'hydrogen', 'convection', 'zone', 'reaches', 'the', 'underlying', 'convective', 'helium', 'envelope', 'is', 'responsible', 'for', 'this', 'gradual', 'transition', 'the', 'comparison', 'of', 'our', 'results', 'with', 'an', 'approximate', 'model', 'used', 'to', 'describe', 'the', 'outcome', 'of', 'this', 'convective', 'mixing', 'process', 'implies', 'hydrogen', 'mass', 'layers', 'in', 'the', 'range', 'log', 'm_hm_tot', '10', 'to', '8', 'for', 'about', '15', 'of', 'the', 'da', 'stars', 'that', 'survived', 'the', 'da', 'to', 'db', 'transition', 'near', 'teff', '30000', 'k', 'the', 'remainder', 'having', 'presumably', 'more', 'massive', 'layers', 'above', 'log', 'm_hm_tot', '6']] | [-0.052293151525273016, 0.18369664066594657, -0.011165561452606526, 0.04016293727251876, -0.054748993424211564, -0.05122586902447794, 0.15481567233135657, 0.33092809979996035, -0.19751844997640955, -0.40087189253853267, 0.05791630914740304, -0.32834201880173863, -0.028426562362010518, 0.1851349124776091, -0.041357609344813875, -0.030503281432194093, 0.0791459194281035, 0.01452856802531868, -0.07914891743554522, -0.2511859273109289, 0.2963903104312343, 0.050930714426887416, 0.1772893117100158, -0.005253352606718345, 0.03572186592919506, -0.10795839129492552, -0.03988112391849793, -0.052547072020985144, -0.18127763698492094, -0.0040788875040277915, 0.25876610607608524, 0.0885563289480858, 0.23266129029074575, -0.3011998176109585, -0.2321244812522468, 0.04660716302269114, 0.16358801735831158, 0.05567960057065147, -0.008496815704992508, -0.1925335820461254, 0.1115815476810057, -0.17309768272997447, -0.1400973065066393, 0.028428909266872637, 0.03876970437843175, -0.015218926565327421, -0.27840041227653506, 0.09530524608618136, 0.08043219725214557, 0.1275255636252936, -0.09730237244786054, -0.21967612338503675, -0.0805524293710256, 0.11369588606693368, 0.018003442376284127, 0.07666605924303574, 0.13461519819474901, -0.1333529857823763, 0.06186720578211838, 0.38852155439755215, -0.1957919903003448, 0.007714681299009099, 0.20567386196778406, -0.1567882767203387, -0.048647109764811666, 0.18608226947961917, 0.14651603840424546, 0.1625212694693199, -0.1492667628798502, -0.001441535219936952, -0.012775158625411452, 0.22383015949239649, 0.09282413254018933, 0.027880635925583423, 0.24102281327679675, 0.18481328051473217, 0.02616598376654404, 0.06420930756487583, -0.21506110583210275, -0.057651044248982715, -0.2559415549236946, -0.12924261059286812, -0.11587074265024433, 0.06599104115443807, -0.16027696074038023, -0.17831888774942076, 0.329249976988803, 0.18050607768868013, 0.2649495161136011, 0.060865912301263835, 0.3012125687722964, 0.08073013915687895, 0.09912358130397345, 0.12181422677600667, 0.27081344517135114, 0.21300430390515696, 0.12084015857221352, -0.23223171230385858, 0.03715819066326336, -0.0008930959517047519] |
710.1074 | Sums of hermitian squares and the BMV conjecture | Recently Lieb and Seiringer showed that the Bessis-Moussa-Villani conjecture
from quantum physics can be restated in the following purely algebraic way: The
sum of all words in two positive semidefinite matrices where the number of each
of the two letters is fixed is always a matrix with nonnegative trace. We show
that this statement holds if the words are of length at most 13. This has
previously been known only up to length 7. In our proof, we establish a
connection to sums of hermitian squares of polynomials in noncommuting
variables and to semidefinite programming. As a by-product we obtain an example
of a real polynomial in two noncommuting variables having nonnegative trace on
all symmetric matrices of the same size, yet not being a sum of hermitian
squares and commutators.
| math.OA math.OC | recently lieb and seiringer showed that the bessismoussavillani conjecture from quantum physics can be restated in the following purely algebraic way the sum of all words in two positive semidefinite matrices where the number of each of the two letters is fixed is always a matrix with nonnegative trace we show that this statement holds if the words are of length at most 13 this has previously been known only up to length 7 in our proof we establish a connection to sums of hermitian squares of polynomials in noncommuting variables and to semidefinite programming as a byproduct we obtain an example of a real polynomial in two noncommuting variables having nonnegative trace on all symmetric matrices of the same size yet not being a sum of hermitian squares and commutators | [['recently', 'lieb', 'and', 'seiringer', 'showed', 'that', 'the', 'bessismoussavillani', 'conjecture', 'from', 'quantum', 'physics', 'can', 'be', 'restated', 'in', 'the', 'following', 'purely', 'algebraic', 'way', 'the', 'sum', 'of', 'all', 'words', 'in', 'two', 'positive', 'semidefinite', 'matrices', 'where', 'the', 'number', 'of', 'each', 'of', 'the', 'two', 'letters', 'is', 'fixed', 'is', 'always', 'a', 'matrix', 'with', 'nonnegative', 'trace', 'we', 'show', 'that', 'this', 'statement', 'holds', 'if', 'the', 'words', 'are', 'of', 'length', 'at', 'most', '13', 'this', 'has', 'previously', 'been', 'known', 'only', 'up', 'to', 'length', '7', 'in', 'our', 'proof', 'we', 'establish', 'a', 'connection', 'to', 'sums', 'of', 'hermitian', 'squares', 'of', 'polynomials', 'in', 'noncommuting', 'variables', 'and', 'to', 'semidefinite', 'programming', 'as', 'a', 'byproduct', 'we', 'obtain', 'an', 'example', 'of', 'a', 'real', 'polynomial', 'in', 'two', 'noncommuting', 'variables', 'having', 'nonnegative', 'trace', 'on', 'all', 'symmetric', 'matrices', 'of', 'the', 'same', 'size', 'yet', 'not', 'being', 'a', 'sum', 'of', 'hermitian', 'squares', 'and', 'commutators']] | [-0.13910380390095917, 0.12082246114877106, -0.06688874971676077, 0.03674965523510375, -0.07716645443819121, -0.15683240958539243, -0.004261214652219574, 0.32793635346763234, -0.311029008053819, -0.24805313327086678, 0.13025417093823854, -0.3007778412580689, -0.16500804678515624, 0.16072694998223847, -0.07001564567126618, 0.04180571519794611, 0.02073485361952477, 0.09104790635058614, -0.12546095152506392, -0.33933558128774166, 0.31408305753214383, -0.05035345883816054, 0.14750406805084634, 0.0710816768047805, 0.11866625328015053, 0.023102074442075866, -0.024280958551689557, 0.013056529518785595, -0.061031499170748876, 0.0757045351997025, 0.29381739606241913, 0.1569881837562665, 0.26691440886014517, -0.37138595837275035, -0.1183307378051646, 0.19055564557326574, 0.13250181988727672, 0.06767927120503692, 0.0015678440313075335, -0.22339290162399128, 0.10980763828794238, -0.14799953017469125, -0.10161845349770693, -0.04454604782811046, 0.057664289555107134, 0.0022808465509469274, -0.2883299485289755, 0.040070157739838574, 0.10333456686975165, 0.07518297492860611, -0.015674281277061077, -0.2067550143203876, 0.05557505904967036, 0.07359381235481902, 0.026851113469745138, 0.013289372300736265, 0.02375982979664451, -0.026012073329628536, -0.16461622963112046, 0.33835411227293993, -0.039933427134777585, -0.2495225953108823, 0.14527669748405123, -0.18152933188124012, -0.16704518335892726, 0.07886039520229945, 0.10827172211840579, 0.12419325015898652, -0.125508651137352, 0.12979138439355903, -0.1946559596152706, 0.15633725906004206, 0.13039439806060596, 0.034922393233264716, 0.1587659682659077, 0.04218316464578264, 0.0971369584951237, 0.13721473156279024, 0.040384714477446695, -0.0712301830107076, -0.31166625445182544, -0.20784269848426107, -0.26269346835155694, 0.1268782679877779, -0.12940584274174607, -0.1817319558947596, 0.3987090159918516, 0.07047011619718134, 0.21599361108516463, 0.13124091881824984, 0.23675596827769096, 0.12100814673551963, 0.07901113027820492, 0.08610510329168489, 0.16693452902436826, 0.21219982566731407, 0.014696913326998021, -0.1483004267437682, 0.04906590624520456, 0.1423052730934538] |
710.1075 | Fine tuning of quantum operations performed via Raman transitions | A scheme for fine tuning of quantum operations to improve their performance
is proposed. A quantum system in $\Lambda$ configuration with two-photon Raman
transitions is considered without adiabatic elimination of the excited
(intermediate) state. Conditional dynamics of the system is studied with focus
on improving fidelity of quantum operations. In particular, the $\pi$ pulse and
$\pi/2$ pulse quantum operations are considered. The dressed states for the
atom-field system, with an atom driven on one transition by a classical field
and on the other by a quantum cavity field, are found. A discrete set of
detunings is given for which high fidelity of desired states is achieved.
Analytical solutions for the quantum state amplitudes are found in the first
order perturbation theory with respect to the cavity damping rate $\kappa$ and
the spontaneous emission rate $\gamma$. Numerical solutions for higher values
of $\kappa$ and $\gamma$ indicate a stabilizing role of spontaneous emission in
the $\pi$ and $\pi/2$ pulse quantum operations. The idea can also be applied
for excitation pulses of different shapes.
| quant-ph | a scheme for fine tuning of quantum operations to improve their performance is proposed a quantum system in lambda configuration with twophoton raman transitions is considered without adiabatic elimination of the excited intermediate state conditional dynamics of the system is studied with focus on improving fidelity of quantum operations in particular the pi pulse and pi2 pulse quantum operations are considered the dressed states for the atomfield system with an atom driven on one transition by a classical field and on the other by a quantum cavity field are found a discrete set of detunings is given for which high fidelity of desired states is achieved analytical solutions for the quantum state amplitudes are found in the first order perturbation theory with respect to the cavity damping rate kappa and the spontaneous emission rate gamma numerical solutions for higher values of kappa and gamma indicate a stabilizing role of spontaneous emission in the pi and pi2 pulse quantum operations the idea can also be applied for excitation pulses of different shapes | [['a', 'scheme', 'for', 'fine', 'tuning', 'of', 'quantum', 'operations', 'to', 'improve', 'their', 'performance', 'is', 'proposed', 'a', 'quantum', 'system', 'in', 'lambda', 'configuration', 'with', 'twophoton', 'raman', 'transitions', 'is', 'considered', 'without', 'adiabatic', 'elimination', 'of', 'the', 'excited', 'intermediate', 'state', 'conditional', 'dynamics', 'of', 'the', 'system', 'is', 'studied', 'with', 'focus', 'on', 'improving', 'fidelity', 'of', 'quantum', 'operations', 'in', 'particular', 'the', 'pi', 'pulse', 'and', 'pi2', 'pulse', 'quantum', 'operations', 'are', 'considered', 'the', 'dressed', 'states', 'for', 'the', 'atomfield', 'system', 'with', 'an', 'atom', 'driven', 'on', 'one', 'transition', 'by', 'a', 'classical', 'field', 'and', 'on', 'the', 'other', 'by', 'a', 'quantum', 'cavity', 'field', 'are', 'found', 'a', 'discrete', 'set', 'of', 'detunings', 'is', 'given', 'for', 'which', 'high', 'fidelity', 'of', 'desired', 'states', 'is', 'achieved', 'analytical', 'solutions', 'for', 'the', 'quantum', 'state', 'amplitudes', 'are', 'found', 'in', 'the', 'first', 'order', 'perturbation', 'theory', 'with', 'respect', 'to', 'the', 'cavity', 'damping', 'rate', 'kappa', 'and', 'the', 'spontaneous', 'emission', 'rate', 'gamma', 'numerical', 'solutions', 'for', 'higher', 'values', 'of', 'kappa', 'and', 'gamma', 'indicate', 'a', 'stabilizing', 'role', 'of', 'spontaneous', 'emission', 'in', 'the', 'pi', 'and', 'pi2', 'pulse', 'quantum', 'operations', 'the', 'idea', 'can', 'also', 'be', 'applied', 'for', 'excitation', 'pulses', 'of', 'different', 'shapes']] | [-0.17165043538610575, 0.21093137060472134, -0.056377057124974955, 0.029031259275302944, 0.0164087264640638, -0.1768318653182938, 0.06532821991162277, 0.39609243057406784, -0.23721600725037748, -0.26043607068979263, 0.05199934697093181, -0.24291474707506336, -0.07185337506234646, 0.23822209607586484, 0.008846141653930583, 0.10947065088805696, 0.04794939027483744, 0.05883942711254179, -0.03052684837374945, -0.19125778901142923, 0.3105389716032871, 0.038174131948484534, 0.2795197833383902, 0.02202771036281136, 0.07360928864027673, -0.02379376001763961, 0.06494071168487357, -0.04978238851681613, -0.1018965806926421, 0.07814414740767471, 0.23536875064631826, 0.056105310445901946, 0.23299022625834948, -0.4156656779065641, -0.2066571113906395, 0.054269667343122135, 0.12020024048621979, 0.15899840259464315, -0.03137575921381971, -0.32749225439950386, 0.046842707277477136, -0.1457613773714773, -0.11905165426215233, -0.09737384188457321, 0.028345525067310497, 0.012881601142168742, -0.30585472746915593, 0.04985498740832724, 0.052376201666336046, 0.05139461655322223, -0.022851529700017116, -0.055771973032411735, 0.0006297666821846662, 0.09833840048757561, -0.011563322805031612, 0.04841673274508171, 0.15831288910737773, -0.1605150932772902, -0.16644818997092284, 0.37084706955349717, -0.0769738261962353, -0.17369368237209076, 0.12064557449282175, -0.14148980441192785, -0.06983531510242266, 0.16422817464482192, 0.10094018169537143, 0.11923817789171175, -0.06408885795328963, 0.07863179199793785, 0.060925350967680286, 0.22488127893642984, 0.09648174397124533, 0.10828418657183647, 0.16663149355812684, 0.1261647285686599, 0.05349524519869197, 0.1746601898751456, -0.07653009481401297, -0.14509924174400798, -0.2958068762257782, -0.13764501098347337, -0.18812057367193769, 0.058819351769569844, -0.06881445479177263, -0.12346953730648982, 0.4067983957142962, 0.07657773022462304, 0.15715926431925498, -0.0017490483465065296, 0.2816970451321039, 0.20511919102974968, 0.012684623483426825, 0.027583251276995704, 0.2705897388010346, 0.17056315562453622, 0.05322265150352267, -0.3067564806895472, 0.04035638683960278, 0.024622150152180975] |
710.1076 | Electrically-Driven Reverse Overhauser Pumping of Nuclear Spins in
Quantum Dots | We propose a new mechanism for polarizing nuclear spins in quantum dots,
based on periodic modulation of the hyperfine coupling by electric driving at
the electron spin resonance frequency. Dynamical nuclear polarization results
from resonant excitation rather than hyperfine relaxation mediated by a thermal
bath, and thus is not subject to Overhauser-like detailed balance constraints.
This allows polarization in the direction opposite to that expected from the
Overhauser effect. Competition of the electrically-driven and bath assisted
mechanisms can give rise to spatial modulation and sign reversal of
polarization on a scale smaller than the electron confinement radius in the
dot. The relation to reverse Overhauser polarization observed in GaAs quantum
dots is discussed.
| cond-mat.mes-hall | we propose a new mechanism for polarizing nuclear spins in quantum dots based on periodic modulation of the hyperfine coupling by electric driving at the electron spin resonance frequency dynamical nuclear polarization results from resonant excitation rather than hyperfine relaxation mediated by a thermal bath and thus is not subject to overhauserlike detailed balance constraints this allows polarization in the direction opposite to that expected from the overhauser effect competition of the electricallydriven and bath assisted mechanisms can give rise to spatial modulation and sign reversal of polarization on a scale smaller than the electron confinement radius in the dot the relation to reverse overhauser polarization observed in gaas quantum dots is discussed | [['we', 'propose', 'a', 'new', 'mechanism', 'for', 'polarizing', 'nuclear', 'spins', 'in', 'quantum', 'dots', 'based', 'on', 'periodic', 'modulation', 'of', 'the', 'hyperfine', 'coupling', 'by', 'electric', 'driving', 'at', 'the', 'electron', 'spin', 'resonance', 'frequency', 'dynamical', 'nuclear', 'polarization', 'results', 'from', 'resonant', 'excitation', 'rather', 'than', 'hyperfine', 'relaxation', 'mediated', 'by', 'a', 'thermal', 'bath', 'and', 'thus', 'is', 'not', 'subject', 'to', 'overhauserlike', 'detailed', 'balance', 'constraints', 'this', 'allows', 'polarization', 'in', 'the', 'direction', 'opposite', 'to', 'that', 'expected', 'from', 'the', 'overhauser', 'effect', 'competition', 'of', 'the', 'electricallydriven', 'and', 'bath', 'assisted', 'mechanisms', 'can', 'give', 'rise', 'to', 'spatial', 'modulation', 'and', 'sign', 'reversal', 'of', 'polarization', 'on', 'a', 'scale', 'smaller', 'than', 'the', 'electron', 'confinement', 'radius', 'in', 'the', 'dot', 'the', 'relation', 'to', 'reverse', 'overhauser', 'polarization', 'observed', 'in', 'gaas', 'quantum', 'dots', 'is', 'discussed']] | [-0.1581177516815673, 0.258255566787634, -0.03941486589198487, 0.05243588774774092, -0.04433366879707499, -0.16933184595411824, 0.039090862656341846, 0.4138415247465657, -0.2729268442114106, -0.29557575653018675, -0.02905617794434054, -0.2425627947716193, -0.04304325942823713, 0.22332634895512488, 0.05356265628397201, -0.024622635822640154, -0.03680184742938562, -0.025145186408035522, -0.04634200648684879, -0.12440101316701456, 0.28495523848236576, 0.0754015260619169, 0.30290585660697084, 0.11962620145847312, 0.07578284238193152, 0.04826591991349659, 0.07868368213221563, -0.03343797929428386, -0.09274567984513561, 0.0593614743330178, 0.1914894273422197, -0.06241305559910669, 0.20652873715204476, -0.48584185998919793, -0.1592176948103279, 0.04068579551335259, 0.14732645016237764, 0.19028369161358052, -0.07993827323610606, -0.268193849041003, -0.019804186789335404, -0.12895099800368523, -0.07670115053126242, -0.04992080815301268, 0.031820664217332956, -0.023777937120964043, -0.29997681757534106, 0.1319619744142468, 0.08876052863387993, 0.06856419312545156, -0.06804505502032446, -0.07889414450928436, -0.00591083295824649, 0.03950289630462968, 0.035046618283454296, 0.06757323719989673, 0.24133556869820552, -0.07601794469236206, -0.16888168096888515, 0.34416586958980433, -0.09411264719792839, -0.14953931805521117, 0.12856892707131276, -0.23790255301030336, -0.043623988035514094, 0.12881219031833177, 0.1564956295955102, 0.09255095551499223, -0.1494238112045584, 0.03472807452719313, 0.05287054695489825, 0.20442969603999725, 0.06985371710683129, 0.11927643112129474, 0.2538217482181777, 0.1396498392476181, 0.09466594090866567, 0.152903732567597, -0.1253023923753835, -0.12357335995709672, -0.22008372327329312, -0.07906051816633053, -0.20587899844137442, 0.15569113572223414, -0.06786011370165228, -0.07003720941030281, 0.4505240175279632, 0.12859621952675218, 0.14618840309651157, -0.0842609618258852, 0.30941678781012916, 0.13277264525372107, 0.09870760014643316, 0.004097075156241128, 0.2937484089701346, 0.23291386299008354, 0.10013747439447758, -0.3950302565462096, 0.060476554940924444, -0.027276667587014032] |
710.1077 | The conservation of energy-momentum and the mass for the graviton | In this work we give special attention to the bimetric theory of gravitation
with massive gravitons proposed by Visser in 1998. In his theory, a prior
background metric is necessary to take in account the massive term. Although in
the great part of the astrophysical studies the Minkowski metric is the best
choice to the background metric, it is not possible to consider this metric in
cosmology. In order to keep the Minkowski metric as background in this case, we
suggest an interpretation of the energy-momentum conservation in Visser's
theory, which is in accordance with the equivalence principle and recovers
naturally the special relativity in the absence of gravitational sources.
Although we do not present a general proof of our hypothesis we show its
validity in the simple case of a plane and dust-dominated universe, in which
the `massive term' appears like an extra contribution for the energy density.
| gr-qc astro-ph | in this work we give special attention to the bimetric theory of gravitation with massive gravitons proposed by visser in 1998 in his theory a prior background metric is necessary to take in account the massive term although in the great part of the astrophysical studies the minkowski metric is the best choice to the background metric it is not possible to consider this metric in cosmology in order to keep the minkowski metric as background in this case we suggest an interpretation of the energymomentum conservation in vissers theory which is in accordance with the equivalence principle and recovers naturally the special relativity in the absence of gravitational sources although we do not present a general proof of our hypothesis we show its validity in the simple case of a plane and dustdominated universe in which the massive term appears like an extra contribution for the energy density | [['in', 'this', 'work', 'we', 'give', 'special', 'attention', 'to', 'the', 'bimetric', 'theory', 'of', 'gravitation', 'with', 'massive', 'gravitons', 'proposed', 'by', 'visser', 'in', '1998', 'in', 'his', 'theory', 'a', 'prior', 'background', 'metric', 'is', 'necessary', 'to', 'take', 'in', 'account', 'the', 'massive', 'term', 'although', 'in', 'the', 'great', 'part', 'of', 'the', 'astrophysical', 'studies', 'the', 'minkowski', 'metric', 'is', 'the', 'best', 'choice', 'to', 'the', 'background', 'metric', 'it', 'is', 'not', 'possible', 'to', 'consider', 'this', 'metric', 'in', 'cosmology', 'in', 'order', 'to', 'keep', 'the', 'minkowski', 'metric', 'as', 'background', 'in', 'this', 'case', 'we', 'suggest', 'an', 'interpretation', 'of', 'the', 'energymomentum', 'conservation', 'in', 'vissers', 'theory', 'which', 'is', 'in', 'accordance', 'with', 'the', 'equivalence', 'principle', 'and', 'recovers', 'naturally', 'the', 'special', 'relativity', 'in', 'the', 'absence', 'of', 'gravitational', 'sources', 'although', 'we', 'do', 'not', 'present', 'a', 'general', 'proof', 'of', 'our', 'hypothesis', 'we', 'show', 'its', 'validity', 'in', 'the', 'simple', 'case', 'of', 'a', 'plane', 'and', 'dustdominated', 'universe', 'in', 'which', 'the', 'massive', 'term', 'appears', 'like', 'an', 'extra', 'contribution', 'for', 'the', 'energy', 'density']] | [-0.12323183088560258, 0.06775147459745538, -0.09619295455502884, 0.10955473737972445, -0.1103734697509032, -0.06192775968549736, -0.008456739374348932, 0.3000843749434731, -0.18522316830282742, -0.2904120759425947, 0.05365820263587438, -0.2532008912542447, -0.16938361350209422, 0.12992999339616865, -0.12209826913480991, -0.022985543934987772, 0.003661168951716199, 0.08605099406918423, -0.03727239824170497, -0.26388398718070116, 0.35247984679881483, 0.12351151325133623, 0.268642478395916, 0.049675604855116684, 0.09626142429062884, 0.012773091087567827, -0.05697244067282585, 0.03297073826906365, -0.10519518393823164, 0.07473412659738038, 0.2348434984115196, 0.14392627918180204, 0.2486729079501191, -0.4078942872583866, -0.2640061992433097, 0.11975339934192347, 0.09888616369274639, 0.15603843953104177, -0.04516136598142002, -0.26774835900712957, 0.05907445494046485, -0.18170460808597155, -0.16775973230575356, -0.03449150360622615, 0.01857699898865399, -0.07419596557449175, -0.21348705568394605, 0.09428542338611695, 0.08906654785730994, -0.034702546138241384, -0.09940963886731348, -0.0484626824426896, 0.03167480723963638, 0.0640885817143291, 0.13215666836840195, 0.07592289571981602, 0.05784042704156631, -0.12994102690675163, -0.07871190846066346, 0.4374572570691973, -0.10280626503228767, -0.24039425392597663, 0.15546620758125346, -0.1850808451652227, -0.19126765763827744, 0.06078793953216616, 0.13347497083451412, 0.13673707035888963, -0.15559057082555838, 0.1568317194836489, -0.024299327377464323, 0.12600878849250557, 0.06461813128490826, 0.04523449929801422, 0.23802028859234195, 0.10779116377421974, 0.03765701400366105, 0.1250380258100895, -0.019569480182265474, -0.12318625980589676, -0.380252921385003, -0.1768118432291702, -0.1528852285353167, 0.07313937557124432, -0.11550889497340794, -0.1750876568753941, 0.33236963961948485, 0.15428778102883955, 0.14466578020220436, 0.04552066598818856, 0.28418423297921286, 0.09864062607333676, 0.059295274548532576, 0.07521900397744155, 0.34172598012541766, 0.14096076320388023, 0.11635922131147361, -0.16053752171738236, -0.010955029623520454, 0.0698585743162681] |
710.1078 | Polya's conjecture in the presence of a constant magnetic field | We consider the Dirichlet Laplacian with a constant magnetic field in a
two-dimensional domain of finite measure. We determine the sharp constants in
semi-classical eigenvalue estimates and show, in particular, that Polya's
conjecture is not true in the presence of a magnetic field.
| math-ph math.MP | we consider the dirichlet laplacian with a constant magnetic field in a twodimensional domain of finite measure we determine the sharp constants in semiclassical eigenvalue estimates and show in particular that polyas conjecture is not true in the presence of a magnetic field | [['we', 'consider', 'the', 'dirichlet', 'laplacian', 'with', 'a', 'constant', 'magnetic', 'field', 'in', 'a', 'twodimensional', 'domain', 'of', 'finite', 'measure', 'we', 'determine', 'the', 'sharp', 'constants', 'in', 'semiclassical', 'eigenvalue', 'estimates', 'and', 'show', 'in', 'particular', 'that', 'polyas', 'conjecture', 'is', 'not', 'true', 'in', 'the', 'presence', 'of', 'a', 'magnetic', 'field']] | [-0.16477411076274895, 0.11647153076130984, -0.04748785112399694, 0.06741439439843647, -0.0867089894708506, -0.09471273501295337, -0.0041062723585339475, 0.35757590193561345, -0.25862990904512795, -0.22725028128818023, 0.09973704954609275, -0.2323877553206457, -0.1474058463476425, 0.1514693700253617, -0.06869964823559967, 0.0215941398122976, 0.047720326890432554, 0.1214410386719676, -0.04608213571766608, -0.1859893537245604, 0.358680006289898, -0.05794500535743874, 0.25574277969467085, 0.13791530501357344, 0.020721371697131976, -0.007234593820866457, 0.03472605005426462, 0.04127698068961848, -0.223839835876492, 0.09894211014169593, 0.1915024089367064, -0.014496873717668444, 0.29385994582675223, -0.4197309091254029, -0.22505181278968447, 0.15097194502866546, 0.1282362981894335, 0.10497000946143512, -0.06301257280946904, -0.2388912850102886, 0.12572158994911195, -0.0490812121262384, -0.20487150144871585, -0.054118837533128815, -0.009435763035705962, 0.02606519374747349, -0.3411706842936922, 0.13904642686247826, 0.10573239078701929, 0.06323054494596152, -0.15943156274815284, -0.07804795592308564, 0.06863743012641059, 0.065859965427757, 0.06536900702874761, 0.04554521445141629, 0.04133533525042409, -0.15819191802726235, -0.11064726854999397, 0.3303301210493542, -0.17122712591663003, -0.24491479919227058, 0.0800652032674745, -0.2783297069240795, -0.13858357419227357, 0.04846616253949875, 0.14074937401469365, 0.1582211970113391, -0.09355174825894971, 0.20470883991693817, -0.10551299587931744, 0.13938934492423785, 0.07571018071639417, -0.023969439973751474, 0.148618990078915, 0.07567856215525331, 0.11894962010461144, 0.16328686233176742, -0.09099594006574778, -0.07571180095506269, -0.3112032798140548, -0.20058894696710414, -0.2839655809450981, 0.10777232342780037, -0.14869026444428654, -0.2900139487586742, 0.37340042714116184, 0.13223643252236206, 0.21307030337494473, 0.04157367443969084, 0.22180972170344618, 0.1716822037083465, 0.012250966812094111, 0.10640182473891696, 0.21483689550916815, 0.22652478940611662, 0.0687984605319798, -0.22305880618000098, -0.012975198844837587, 0.10466842903474043] |
710.1079 | Disorder parameter for confinement and vacuum field strength correlators | The possibility is explored to relate confinement to properties of gauge
invariant field strength correlators.
| hep-lat | the possibility is explored to relate confinement to properties of gauge invariant field strength correlators | [['the', 'possibility', 'is', 'explored', 'to', 'relate', 'confinement', 'to', 'properties', 'of', 'gauge', 'invariant', 'field', 'strength', 'correlators']] | [-0.21523021658261618, 0.27359052635729314, -0.11801989749073982, 0.1453825488453731, -0.12803054489195348, -0.10503289625048637, -0.05929275328914325, 0.4201558407396078, -0.24587466617425283, -0.249921648701032, -0.03001816850155592, -0.15905156234900156, -0.11386768296360969, 0.07529623955488204, 0.013470829154054323, 0.07916195144255957, -0.08317007717366019, 0.05833299023409685, -0.14175954566647608, -0.21898612082004548, 0.3436733695988854, 0.0540543212244908, 0.3619626842439175, 0.1822452480594317, 0.05338647589087486, -0.0007234164513647556, 0.01731135609249274, 0.024991145667930443, -0.18948032210270563, 0.06887961694349845, 0.12662662665049235, 0.0016244928042093913, 0.12253828222552936, -0.3223526523758968, -0.23237210561831792, 0.08262722330788771, 0.1603083762029807, 0.08117698828379313, 0.026209712525208793, -0.3208732038736343, 0.09361948519945144, -0.0715341736872991, -0.2950322507337357, -0.1669033134977023, 0.052192199206911025, -0.08000151216983795, -0.28156662757198014, 0.03752592218418916, -0.04586944083372752, 0.09365830700844527, -0.015031528969605764, -0.021647655963897706, -0.03908943670491378, 0.09668011628091336, 0.2024229274286578, 0.08212467043971022, 0.26472045841316383, -0.272486649081111, -0.13818743539353212, 0.3695883244276047, -0.08476796001195908, -0.2315423456331094, 0.20374264667431513, -0.1715189265087247, -0.1468998578687509, 0.10453332870577772, 0.14250475491086642, 0.07191411511351666, -0.15700066636006038, 0.19622705976168314, 0.03505397985378901, 0.10749125909060239, 0.04522391402473052, 0.1295325390994549, 0.28176669478416444, 0.015272014339764913, 0.005716543085873127, 0.2200469861427943, 0.018393221497535705, -0.13814007009690007, -0.31438129444917046, -0.11932978828748067, -0.14585328012083967, 0.10164174567908049, -0.02088689381877581, -0.12135688435907165, 0.4515157659848531, 0.2515513226389885, 0.16886897220586736, 0.03196593287090461, 0.18494247247775394, 0.09097074506183465, 0.16851496174931527, -0.05539334444329143, 0.30439975957075754, 0.3544962612291177, 0.050857574120163916, -0.3081293093971908, -0.09424083912745118, 0.15060157775878907] |
710.108 | A Dense Gas Trigger for OH Megamasers | HCN and CO line diagnostics provide new insight into the OH megamaser (OHM)
phenomenon, suggesting a dense gas trigger for OHMs. We identify three physical
properties that differentiate OHM hosts from other starburst galaxies: (1) OHMs
have the highest mean molecular gas densities among starburst galaxies; nearly
all OHM hosts have <n(H2)> = 10^3-10^4 cm^-3 (OH line-emitting clouds likely
have n(H2) > 10^4 cm^-3). (2) OHM hosts are a distinct population in the
nonlinear part of the IR-CO relation. (3) OHM hosts have exceptionally high
dense molecular gas fractions, L(HCN)/L(CO)>0.07, and comprise roughly half of
this unusual population. OH absorbers and kilomasers generally follow the
linear IR-CO relation and are uniformly distributed in dense gas fraction and
L(HCN), demonstrating that OHMs are independent of OH abundance. The fraction
of non-OHMs with high mean densities and high dense gas fractions constrains
beaming to be a minor effect: OHM emission solid angle must exceed 2 pi
steradians. Contrary to conventional wisdom, IR luminosity does not dictate OHM
formation; both star formation and OHM activity are consequences of tidal
density enhancements accompanying galaxy interactions. The OHM fraction in
starbursts is likely due to the fraction of mergers experiencing a temporal
spike in tidally driven density enhancement. OHMs are thus signposts marking
the most intense, compact, and unusual modes of star formation in the local
universe. Future high redshift OHM surveys can now be interpreted in a star
formation and galaxy evolution context, indicating both the merging rate of
galaxies and the burst contribution to star formation.
| astro-ph | hcn and co line diagnostics provide new insight into the oh megamaser ohm phenomenon suggesting a dense gas trigger for ohms we identify three physical properties that differentiate ohm hosts from other starburst galaxies 1 ohms have the highest mean molecular gas densities among starburst galaxies nearly all ohm hosts have nh2 103104 cm3 oh lineemitting clouds likely have nh2 104 cm3 2 ohm hosts are a distinct population in the nonlinear part of the irco relation 3 ohm hosts have exceptionally high dense molecular gas fractions lhcnlco007 and comprise roughly half of this unusual population oh absorbers and kilomasers generally follow the linear irco relation and are uniformly distributed in dense gas fraction and lhcn demonstrating that ohms are independent of oh abundance the fraction of nonohms with high mean densities and high dense gas fractions constrains beaming to be a minor effect ohm emission solid angle must exceed 2 pi steradians contrary to conventional wisdom ir luminosity does not dictate ohm formation both star formation and ohm activity are consequences of tidal density enhancements accompanying galaxy interactions the ohm fraction in starbursts is likely due to the fraction of mergers experiencing a temporal spike in tidally driven density enhancement ohms are thus signposts marking the most intense compact and unusual modes of star formation in the local universe future high redshift ohm surveys can now be interpreted in a star formation and galaxy evolution context indicating both the merging rate of galaxies and the burst contribution to star formation | [['hcn', 'and', 'co', 'line', 'diagnostics', 'provide', 'new', 'insight', 'into', 'the', 'oh', 'megamaser', 'ohm', 'phenomenon', 'suggesting', 'a', 'dense', 'gas', 'trigger', 'for', 'ohms', 'we', 'identify', 'three', 'physical', 'properties', 'that', 'differentiate', 'ohm', 'hosts', 'from', 'other', 'starburst', 'galaxies', '1', 'ohms', 'have', 'the', 'highest', 'mean', 'molecular', 'gas', 'densities', 'among', 'starburst', 'galaxies', 'nearly', 'all', 'ohm', 'hosts', 'have', 'nh2', '103104', 'cm3', 'oh', 'lineemitting', 'clouds', 'likely', 'have', 'nh2', '104', 'cm3', '2', 'ohm', 'hosts', 'are', 'a', 'distinct', 'population', 'in', 'the', 'nonlinear', 'part', 'of', 'the', 'irco', 'relation', '3', 'ohm', 'hosts', 'have', 'exceptionally', 'high', 'dense', 'molecular', 'gas', 'fractions', 'lhcnlco007', 'and', 'comprise', 'roughly', 'half', 'of', 'this', 'unusual', 'population', 'oh', 'absorbers', 'and', 'kilomasers', 'generally', 'follow', 'the', 'linear', 'irco', 'relation', 'and', 'are', 'uniformly', 'distributed', 'in', 'dense', 'gas', 'fraction', 'and', 'lhcn', 'demonstrating', 'that', 'ohms', 'are', 'independent', 'of', 'oh', 'abundance', 'the', 'fraction', 'of', 'nonohms', 'with', 'high', 'mean', 'densities', 'and', 'high', 'dense', 'gas', 'fractions', 'constrains', 'beaming', 'to', 'be', 'a', 'minor', 'effect', 'ohm', 'emission', 'solid', 'angle', 'must', 'exceed', '2', 'pi', 'steradians', 'contrary', 'to', 'conventional', 'wisdom', 'ir', 'luminosity', 'does', 'not', 'dictate', 'ohm', 'formation', 'both', 'star', 'formation', 'and', 'ohm', 'activity', 'are', 'consequences', 'of', 'tidal', 'density', 'enhancements', 'accompanying', 'galaxy', 'interactions', 'the', 'ohm', 'fraction', 'in', 'starbursts', 'is', 'likely', 'due', 'to', 'the', 'fraction', 'of', 'mergers', 'experiencing', 'a', 'temporal', 'spike', 'in', 'tidally', 'driven', 'density', 'enhancement', 'ohms', 'are', 'thus', 'signposts', 'marking', 'the', 'most', 'intense', 'compact', 'and', 'unusual', 'modes', 'of', 'star', 'formation', 'in', 'the', 'local', 'universe', 'future', 'high', 'redshift', 'ohm', 'surveys', 'can', 'now', 'be', 'interpreted', 'in', 'a', 'star', 'formation', 'and', 'galaxy', 'evolution', 'context', 'indicating', 'both', 'the', 'merging', 'rate', 'of', 'galaxies', 'and', 'the', 'burst', 'contribution', 'to', 'star', 'formation']] | [-0.11887122402608162, 0.1355416011962905, -0.0007803127719893543, 0.06874438028513308, -0.06599550990501875, -0.06818772141960072, 0.045404718068604126, 0.416466339644658, -0.12859724541465906, -0.3294172239822736, 0.018951458333763313, -0.29149865574132366, -0.010853091838309565, 0.15670237976152554, 0.010910452963002625, -0.08236625856611444, -0.038934309983693335, -0.14220339780657956, -0.021121139491730122, -0.25152669850284287, 0.23618948705219495, 0.07212707190832822, 0.1950296093639637, 0.004559147887466752, 0.042008456702991186, -0.19531839716820473, -0.06826951771032021, -0.013286988493092507, -0.1419311977558125, 0.00343920748650908, 0.28427507031248905, 0.06665750260365613, 0.22014146594210982, -0.412329838930977, -0.22855155103574376, 0.06555005276003426, 0.18745647039616023, 0.025124014400125266, -0.0718234672321448, -0.21824649635171256, 0.06339130193125045, -0.22879908965661164, -0.16771343490108848, 0.0907239107764326, 0.08538336287548084, 0.07476508742138505, -0.20994272954943385, 0.23461703925270094, 0.027410297455868298, 0.0724152290471736, -0.08563103150467886, -0.10084645356047883, -0.0762675489340142, 0.039960082229526045, -0.03548273013579289, 0.08867640748908033, 0.3040389147994808, -0.1510669362981875, -0.00585015656531276, 0.426997896403553, -0.06962466550931096, 0.011754725423716776, 0.2910217964146511, -0.27036311988060524, -0.2008718278424545, 0.2321593025166272, 0.13597896074068294, 0.02312273103671324, -0.14145368277787204, -0.06607669351873059, -0.018225151863151108, 0.20254094033206563, 0.05358245977608255, 0.11481666456859832, 0.3574985617091019, 0.07411197652613902, 0.04995837332082381, 0.053679201039663296, -0.16924875125057068, -0.023771346489670706, -0.21977499764259292, -0.14126540020100742, -0.10218595421310125, 0.145127829952583, -0.12373463124872268, -0.05404907914512533, 0.25567196504059564, 0.060040195784849454, 0.22721645468471938, 0.04169212603926599, 0.27686971319786996, 0.09612184712531449, 0.11723270831091037, 0.13655025170682125, 0.2853623799405558, 0.22308173622322608, 0.04552762850700133, -0.2521313823563251, 0.11365012886810553, -0.0154433212875123] |
710.1081 | Confinement effects in a guided-wave interferometer with
millimeter-scale arm separation | Guided-wave atom interferometers measure interference effects using atoms
held in a confining potential. In one common implementation, the confinement is
primarily two-dimensional, and the atoms move along the nearly free dimension
under the influence of an off-resonant standing wave laser beam. In this
configuration, residual confinement along the nominally free axis can introduce
a phase gradient to the atoms that limits the arm separation of the
interferometer. We experimentally investigate this effect in detail, and show
that it can be alleviated by having the atoms undergo a more symmetric motion
in the guide. This can be achieved by either using additional laser pulses or
by allowing the atoms to freely oscillate in the potential. Using these
techniques, we demonstrate interferometer measurement times up to 72 ms and arm
separations up to 0.42 mm with a well controlled phase, or times of 0.91 s and
separations of 1.7 mm with an uncontrolled phase.
| physics.atom-ph | guidedwave atom interferometers measure interference effects using atoms held in a confining potential in one common implementation the confinement is primarily twodimensional and the atoms move along the nearly free dimension under the influence of an offresonant standing wave laser beam in this configuration residual confinement along the nominally free axis can introduce a phase gradient to the atoms that limits the arm separation of the interferometer we experimentally investigate this effect in detail and show that it can be alleviated by having the atoms undergo a more symmetric motion in the guide this can be achieved by either using additional laser pulses or by allowing the atoms to freely oscillate in the potential using these techniques we demonstrate interferometer measurement times up to 72 ms and arm separations up to 042 mm with a well controlled phase or times of 091 s and separations of 17 mm with an uncontrolled phase | [['guidedwave', 'atom', 'interferometers', 'measure', 'interference', 'effects', 'using', 'atoms', 'held', 'in', 'a', 'confining', 'potential', 'in', 'one', 'common', 'implementation', 'the', 'confinement', 'is', 'primarily', 'twodimensional', 'and', 'the', 'atoms', 'move', 'along', 'the', 'nearly', 'free', 'dimension', 'under', 'the', 'influence', 'of', 'an', 'offresonant', 'standing', 'wave', 'laser', 'beam', 'in', 'this', 'configuration', 'residual', 'confinement', 'along', 'the', 'nominally', 'free', 'axis', 'can', 'introduce', 'a', 'phase', 'gradient', 'to', 'the', 'atoms', 'that', 'limits', 'the', 'arm', 'separation', 'of', 'the', 'interferometer', 'we', 'experimentally', 'investigate', 'this', 'effect', 'in', 'detail', 'and', 'show', 'that', 'it', 'can', 'be', 'alleviated', 'by', 'having', 'the', 'atoms', 'undergo', 'a', 'more', 'symmetric', 'motion', 'in', 'the', 'guide', 'this', 'can', 'be', 'achieved', 'by', 'either', 'using', 'additional', 'laser', 'pulses', 'or', 'by', 'allowing', 'the', 'atoms', 'to', 'freely', 'oscillate', 'in', 'the', 'potential', 'using', 'these', 'techniques', 'we', 'demonstrate', 'interferometer', 'measurement', 'times', 'up', 'to', '72', 'ms', 'and', 'arm', 'separations', 'up', 'to', '042', 'mm', 'with', 'a', 'well', 'controlled', 'phase', 'or', 'times', 'of', '091', 's', 'and', 'separations', 'of', '17', 'mm', 'with', 'an', 'uncontrolled', 'phase']] | [-0.14132499165057916, 0.22968513915168987, -0.051525869658929115, -0.02620242430834639, 0.02333586763186184, -0.151208356747367, 0.07129074667088724, 0.4654967396912214, -0.26941239990686117, -0.3093981830109107, 0.056963710688777563, -0.24995909552212411, -0.06561492921135045, 0.16019985360387518, -0.009912889417089326, 0.013626698393828088, 0.05053993712001676, -0.022881930461153388, -0.06578188195616301, -0.197228225238321, 0.24623263660989897, 0.060460267184106145, 0.24777872153361769, 0.02253593047000897, 0.10238880306286247, -0.00405128665060099, 0.05822321069334928, 0.0017581876048720197, -0.09367065846440949, 0.0751938130216379, 0.19277430499297274, 0.01959735283928335, 0.24064217481492578, -0.4633299862892416, -0.19167054579348156, 0.0645142856619235, 0.1546672608911697, 0.15200138416625314, -0.04921913833411389, -0.3415220847083746, 0.009796816200066946, -0.13275133268478767, -0.1774130756001748, -0.010272384376118058, 0.02264378162860674, 0.03743021567597201, -0.24688705854044346, 0.038794671724501406, 0.027869130307839152, 0.061029704808453586, -0.023196470122600562, -0.07312584328955334, 0.02314335927459117, 0.06132908736732421, 0.006268783660887398, 0.11296018457812208, 0.17234404045034593, -0.09385931042580571, -0.08996200218404594, 0.40677116019651294, -0.11113253871352706, -0.1754093891473818, 0.18168197004400244, -0.17082100738709988, -0.013148752739652991, 0.14807957807237185, 0.1510016262856018, 0.10197116153645575, -0.11553521412976184, 0.02583767792461195, 0.03416356169260613, 0.2277001768226527, 0.1719067670362021, 0.03767052014652444, 0.23153255464460112, 0.142371549013708, 0.07747006203709661, 0.16518748344050868, -0.15752161693097533, -0.0705492340830939, -0.2504069990613253, -0.13706846182589957, -0.1550372542237471, 0.04394667675306233, -0.051946647777329324, -0.10351527684772584, 0.35320259818782734, 0.14305581329206593, 0.18223865370964631, -0.04363826249946693, 0.30154733819347856, 0.10093186902323444, 0.10356860913069747, 0.026091664376987244, 0.29441406132766706, 0.11708003937076826, 0.0529311816882048, -0.2421908164021596, -0.003838255302980542, -0.016641452583778454] |
710.1082 | Spectroscopic Determination of the Faint End of the Luminosity Function
in the Nearby Galaxy Clusters A2199 and Virgo | We report a new determination of the faint end of the galaxy luminosity
function in the nearby clusters Virgo and Abell 2199 using data from SDSS and
the Hectospec multifiber spectrograph on the MMT. The luminosity function of
A2199 is consistent with a single Schechter function to M_r=-15.6 + 5 log h_70
with a faint-end slope of alpha=-1.13+/-0.07. The LF in Virgo extends to
M_r=-13.5= M^*+8 and has a slope of alpha=-1.28+/-0.06. The red sequence of
cluster members is prominent in both clusters, and almost no cluster galaxies
are redder than this sequence. We show that selecting objects on the red
sequence and blueward produces a steeply rising faint-end. A large fraction of
photometric red-sequence galaxies lie behind the cluster. We compare our
results to previous estimates and find poor agreement with estimates based on
statistical background subtraction but good agreement with estimates based on
photometric membership classifications (e.g., colors, morphology, surface
brightness). We conclude that spectroscopic data are critical for estimating
the faint end of the luminosity function in clusters. The faint-end slope we
find is consistent with values found for field galaxies, weakening any argument
for environmental evolution in the relative abundance of dwarf galaxies.
However, dwarf galaxies in clusters are significantly redder than field
galaxies of similar luminosity or mass, indicating that star formation
processes in dwarfs do depend on environment.
| astro-ph | we report a new determination of the faint end of the galaxy luminosity function in the nearby clusters virgo and abell 2199 using data from sdss and the hectospec multifiber spectrograph on the mmt the luminosity function of a2199 is consistent with a single schechter function to m_r156 5 log h_70 with a faintend slope of alpha113007 the lf in virgo extends to m_r135 m8 and has a slope of alpha128006 the red sequence of cluster members is prominent in both clusters and almost no cluster galaxies are redder than this sequence we show that selecting objects on the red sequence and blueward produces a steeply rising faintend a large fraction of photometric redsequence galaxies lie behind the cluster we compare our results to previous estimates and find poor agreement with estimates based on statistical background subtraction but good agreement with estimates based on photometric membership classifications eg colors morphology surface brightness we conclude that spectroscopic data are critical for estimating the faint end of the luminosity function in clusters the faintend slope we find is consistent with values found for field galaxies weakening any argument for environmental evolution in the relative abundance of dwarf galaxies however dwarf galaxies in clusters are significantly redder than field galaxies of similar luminosity or mass indicating that star formation processes in dwarfs do depend on environment | [['we', 'report', 'a', 'new', 'determination', 'of', 'the', 'faint', 'end', 'of', 'the', 'galaxy', 'luminosity', 'function', 'in', 'the', 'nearby', 'clusters', 'virgo', 'and', 'abell', '2199', 'using', 'data', 'from', 'sdss', 'and', 'the', 'hectospec', 'multifiber', 'spectrograph', 'on', 'the', 'mmt', 'the', 'luminosity', 'function', 'of', 'a2199', 'is', 'consistent', 'with', 'a', 'single', 'schechter', 'function', 'to', 'm_r156', '5', 'log', 'h_70', 'with', 'a', 'faintend', 'slope', 'of', 'alpha113007', 'the', 'lf', 'in', 'virgo', 'extends', 'to', 'm_r135', 'm8', 'and', 'has', 'a', 'slope', 'of', 'alpha128006', 'the', 'red', 'sequence', 'of', 'cluster', 'members', 'is', 'prominent', 'in', 'both', 'clusters', 'and', 'almost', 'no', 'cluster', 'galaxies', 'are', 'redder', 'than', 'this', 'sequence', 'we', 'show', 'that', 'selecting', 'objects', 'on', 'the', 'red', 'sequence', 'and', 'blueward', 'produces', 'a', 'steeply', 'rising', 'faintend', 'a', 'large', 'fraction', 'of', 'photometric', 'redsequence', 'galaxies', 'lie', 'behind', 'the', 'cluster', 'we', 'compare', 'our', 'results', 'to', 'previous', 'estimates', 'and', 'find', 'poor', 'agreement', 'with', 'estimates', 'based', 'on', 'statistical', 'background', 'subtraction', 'but', 'good', 'agreement', 'with', 'estimates', 'based', 'on', 'photometric', 'membership', 'classifications', 'eg', 'colors', 'morphology', 'surface', 'brightness', 'we', 'conclude', 'that', 'spectroscopic', 'data', 'are', 'critical', 'for', 'estimating', 'the', 'faint', 'end', 'of', 'the', 'luminosity', 'function', 'in', 'clusters', 'the', 'faintend', 'slope', 'we', 'find', 'is', 'consistent', 'with', 'values', 'found', 'for', 'field', 'galaxies', 'weakening', 'any', 'argument', 'for', 'environmental', 'evolution', 'in', 'the', 'relative', 'abundance', 'of', 'dwarf', 'galaxies', 'however', 'dwarf', 'galaxies', 'in', 'clusters', 'are', 'significantly', 'redder', 'than', 'field', 'galaxies', 'of', 'similar', 'luminosity', 'or', 'mass', 'indicating', 'that', 'star', 'formation', 'processes', 'in', 'dwarfs', 'do', 'depend', 'on', 'environment']] | [-0.02728461421554117, 0.05785894848100127, -0.13830819253524826, 0.11284014154874111, -0.13019443479245402, -0.03591259070523253, 0.06252854000553744, 0.4931137530498853, -0.051658043080779245, -0.36763034023973906, 0.008761213635749367, -0.33483237951470873, -0.04207482706376917, 0.22296120816592943, -0.09773267369258078, -0.027500415180921958, 0.09642833785460114, -0.08252777050984982, -0.06067765282241619, -0.31407528395496614, 0.32971026324645775, 0.037846654782190785, 0.18908890571602574, -0.10979168041987711, 0.026773122299811273, -0.06487799180271826, -0.11949470616689964, -0.03770575190354224, -0.17329976885931297, -0.002362198344129882, 0.2200400529197549, 0.10738206142347016, 0.25271098668682795, -0.2815801971257116, -0.14342450918884922, 0.0954207240318939, 0.23165878160987166, 0.009376388557731562, -0.10457558584873689, -0.27265954374433515, 0.09395279242874008, -0.14418389948699453, -0.1616898743078521, 0.10932531061058133, 0.043345659353544924, 0.06620271451352376, -0.21244917642144426, 0.19422855454637375, -0.020312135376627016, 0.13126281662083966, -0.14473491660574425, -0.1425830398996671, -0.09017186863964517, 0.06444469171674012, -0.02839788762197647, 0.13134922846496855, 0.19749955773421618, -0.1917262042396315, 0.01988656139511564, 0.35883310719576056, -0.07813360020967486, 0.06449278567377563, 0.24249969911230004, -0.20588106382850846, -0.21736292988827374, 0.07543992866723709, 0.13498896193375903, 0.08288444354428515, -0.14377816837519136, 0.01601479281448083, -0.0049999258810543715, 0.2663495596498251, 0.020516050686064647, 0.06167116889875748, 0.28763445279854416, 0.10962281668703305, 0.0926054837804109, 0.08207686974658507, -0.20322250860496574, 0.00929270206937847, -0.24254490124257325, -0.06935170335486769, -0.12904344528454215, 0.05432502167792693, -0.17318980964541236, -0.16952701978444984, 0.3412536123414528, 0.10149380858744639, 0.272809157656191, 0.17381728051834183, 0.28420267822263445, 0.11426352028050311, 0.16128101262166145, 0.10999271619244219, 0.29222579802637366, 0.17118458910398696, 0.019483635680602233, -0.23526381838909396, 0.061493994797830846, -0.0023030331943048052] |
710.1083 | Quantum fields, non-locality and quantum group symmetries | We study the action of space-time symmetries on quantum fields in the
presence of small departures from locality determined by dynamical gravity. It
is shown that, under such relaxation of locality, the symmetries of the theory
cannot be described within the usual framework of Lie algebras but rather in
terms of non-co-commutative Hopf algebras or "quantum groups". Similar
"quantizations" of space-time symmetries are expected to emerge in the
low-energy limit of certain quantum gravity models and have been used to
describe the symmetries of various non-commutative space-times. Our result
provides an intuitive characterization of the mechanism that could lead to the
emergence of deformed co-products in models of quantum relativistic symmetries.
| hep-th | we study the action of spacetime symmetries on quantum fields in the presence of small departures from locality determined by dynamical gravity it is shown that under such relaxation of locality the symmetries of the theory cannot be described within the usual framework of lie algebras but rather in terms of noncocommutative hopf algebras or quantum groups similar quantizations of spacetime symmetries are expected to emerge in the lowenergy limit of certain quantum gravity models and have been used to describe the symmetries of various noncommutative spacetimes our result provides an intuitive characterization of the mechanism that could lead to the emergence of deformed coproducts in models of quantum relativistic symmetries | [['we', 'study', 'the', 'action', 'of', 'spacetime', 'symmetries', 'on', 'quantum', 'fields', 'in', 'the', 'presence', 'of', 'small', 'departures', 'from', 'locality', 'determined', 'by', 'dynamical', 'gravity', 'it', 'is', 'shown', 'that', 'under', 'such', 'relaxation', 'of', 'locality', 'the', 'symmetries', 'of', 'the', 'theory', 'can', 'not', 'be', 'described', 'within', 'the', 'usual', 'framework', 'of', 'lie', 'algebras', 'but', 'rather', 'in', 'terms', 'of', 'noncocommutative', 'hopf', 'algebras', 'or', 'quantum', 'groups', 'similar', 'quantizations', 'of', 'spacetime', 'symmetries', 'are', 'expected', 'to', 'emerge', 'in', 'the', 'lowenergy', 'limit', 'of', 'certain', 'quantum', 'gravity', 'models', 'and', 'have', 'been', 'used', 'to', 'describe', 'the', 'symmetries', 'of', 'various', 'noncommutative', 'spacetimes', 'our', 'result', 'provides', 'an', 'intuitive', 'characterization', 'of', 'the', 'mechanism', 'that', 'could', 'lead', 'to', 'the', 'emergence', 'of', 'deformed', 'coproducts', 'in', 'models', 'of', 'quantum', 'relativistic', 'symmetries']] | [-0.16228292875894113, 0.16694066589233053, -0.13508257346984465, 0.10877881590464053, -0.07575774964477335, -0.13791921832619533, -0.046532370055501815, 0.310595391667448, -0.28226596203499604, -0.27327730157204705, 0.05759361608319783, -0.20726688577061786, -0.16411837003085697, 0.1680587508744793, -0.11047339736459046, 0.005730814354527476, -0.014075982625529702, 0.08043657811608032, -0.12346315538785088, -0.2338524982457914, 0.3656702777079772, 0.0754036822472699, 0.27994497695388937, 0.008951745126458783, 0.07778008446413358, -0.016919987454977154, 0.011287242411136893, 0.04847380803299269, -0.11697885664826961, 0.08009438733071354, 0.24537223005693573, 0.08036593002075929, 0.15607816163849617, -0.4487570496234444, -0.22793148094621887, 0.0732355451390114, 0.13973743760392868, 0.1591128660261997, -0.031216209921694826, -0.3421848093941143, 0.05976600471434982, -0.20003440505492368, -0.1593513185549195, -0.13494682940030803, -0.01909502825167562, -0.05963103083403049, -0.18610915904615208, 0.08045184727650069, 0.11711958987013661, 0.08248217783901575, -0.08146307554021145, -0.028794296135726784, -0.0548559639771286, 0.1029175991071887, 0.061990631218317764, -0.040061149016504975, 0.1267668022649429, -0.1294122830066564, -0.20172175005011792, 0.45429644736993524, -0.009654990034635245, -0.23709781116667727, 0.18911744640562184, -0.17261724781461193, -0.16486882182237292, 0.08405746598561693, 0.11810227713847, 0.1285126052846733, -0.11597850834784497, 0.18678024555843617, -0.04543003679801976, 0.04980084971092375, 0.06880904479268272, 0.12509614184299217, 0.23151580370280758, 0.07663245339894534, 0.022053446489735506, 0.09615655127293264, 0.010559034294731515, -0.17266165150119508, -0.37011521349528004, -0.12722577845228702, -0.11632559030009101, 0.13359213681347423, -0.12041308958669106, -0.17300520704962505, 0.37968814896885306, 0.14891613814896637, 0.1368464468541788, 0.014095358463237062, 0.15278370456404186, 0.11002268707151026, 0.1444965371296608, 0.035177213034850344, 0.261798860521854, 0.20853183926789956, 0.01955093503264444, -0.21395199628854503, -0.017533471782891347, 0.11899757159075566] |
710.1084 | Axial anomaly and magnetism of nuclear and quark matter | We consider the response of the QCD ground state at finite baryon density to
a strong magnetic field B. We point out the dominant role played by the
coupling of neutral Goldstone bosons, such as pi^0, to the magnetic field via
the axial triangle anomaly. We show that, in vacuum, above a value of B ~
m_pi^2/e, a metastable object appears - the pi^0 domain wall. Because of the
axial anomaly, the wall carries a baryon number surface density proportional to
B. As a result, for B ~ 10^{19} G a stack of parallel pi^0 domain walls is
energetically more favorable than nuclear matter at the same density.
Similarly, at higher densities, somewhat weaker magnetic fields of order B ~
10^{17}-10^{18} G transform the color-superconducting ground state of QCD into
new phases containing stacks of axial isoscalar (eta or eta') domain walls. We
also show that a quark-matter state known as ``Goldstone current state,'' in
which a gradient of a Goldstone field is spontaneously generated, is
ferromagnetic due to the axial anomaly. We estimate the size of the fields
created by such a state in a typical neutron star to be of order
10^{14}-10^{15} G.
| hep-ph astro-ph nucl-th | we consider the response of the qcd ground state at finite baryon density to a strong magnetic field b we point out the dominant role played by the coupling of neutral goldstone bosons such as pi0 to the magnetic field via the axial triangle anomaly we show that in vacuum above a value of b m_pi2e a metastable object appears the pi0 domain wall because of the axial anomaly the wall carries a baryon number surface density proportional to b as a result for b 1019 g a stack of parallel pi0 domain walls is energetically more favorable than nuclear matter at the same density similarly at higher densities somewhat weaker magnetic fields of order b 10171018 g transform the colorsuperconducting ground state of qcd into new phases containing stacks of axial isoscalar eta or eta domain walls we also show that a quarkmatter state known as goldstone current state in which a gradient of a goldstone field is spontaneously generated is ferromagnetic due to the axial anomaly we estimate the size of the fields created by such a state in a typical neutron star to be of order 10141015 g | [['we', 'consider', 'the', 'response', 'of', 'the', 'qcd', 'ground', 'state', 'at', 'finite', 'baryon', 'density', 'to', 'a', 'strong', 'magnetic', 'field', 'b', 'we', 'point', 'out', 'the', 'dominant', 'role', 'played', 'by', 'the', 'coupling', 'of', 'neutral', 'goldstone', 'bosons', 'such', 'as', 'pi0', 'to', 'the', 'magnetic', 'field', 'via', 'the', 'axial', 'triangle', 'anomaly', 'we', 'show', 'that', 'in', 'vacuum', 'above', 'a', 'value', 'of', 'b', 'm_pi2e', 'a', 'metastable', 'object', 'appears', 'the', 'pi0', 'domain', 'wall', 'because', 'of', 'the', 'axial', 'anomaly', 'the', 'wall', 'carries', 'a', 'baryon', 'number', 'surface', 'density', 'proportional', 'to', 'b', 'as', 'a', 'result', 'for', 'b', '1019', 'g', 'a', 'stack', 'of', 'parallel', 'pi0', 'domain', 'walls', 'is', 'energetically', 'more', 'favorable', 'than', 'nuclear', 'matter', 'at', 'the', 'same', 'density', 'similarly', 'at', 'higher', 'densities', 'somewhat', 'weaker', 'magnetic', 'fields', 'of', 'order', 'b', '10171018', 'g', 'transform', 'the', 'colorsuperconducting', 'ground', 'state', 'of', 'qcd', 'into', 'new', 'phases', 'containing', 'stacks', 'of', 'axial', 'isoscalar', 'eta', 'or', 'eta', 'domain', 'walls', 'we', 'also', 'show', 'that', 'a', 'quarkmatter', 'state', 'known', 'as', 'goldstone', 'current', 'state', 'in', 'which', 'a', 'gradient', 'of', 'a', 'goldstone', 'field', 'is', 'spontaneously', 'generated', 'is', 'ferromagnetic', 'due', 'to', 'the', 'axial', 'anomaly', 'we', 'estimate', 'the', 'size', 'of', 'the', 'fields', 'created', 'by', 'such', 'a', 'state', 'in', 'a', 'typical', 'neutron', 'star', 'to', 'be', 'of', 'order', '10141015', 'g']] | [-0.18278981174624181, 0.2463812083643126, -0.06610453616686802, 0.06067806233308817, -0.08153738988391859, -0.06226667472357421, 0.0668555204511473, 0.3323357739338749, -0.21645796540481235, -0.26538819323636986, 0.0471314855146614, -0.25261731494806317, -0.02861010489133677, 0.08718072248157113, 0.06370556664800173, -0.010154248690722805, -0.008900352388522343, 0.11180913697830157, -0.05605746830482722, -0.16468518894888753, 0.31832459990890993, -0.03367890126660074, 0.2803275253280605, 0.06846502285058562, 0.04867381169215629, -0.02161284212121054, 0.0639898874796927, 0.03526700415991639, -0.11222360055490802, 0.026103219919298825, 0.19454211795849627, 0.005869440925552657, 0.18448652010901193, -0.4004124161689297, -0.1709462192791857, 0.12247116530963563, 0.1504124212372852, 0.11450406263374087, -0.048162325426069165, -0.3172592188740198, 0.12035639084826567, -0.16745609092084984, -0.14637627140373777, -0.08184798313649433, 0.037320116869982725, -0.04709684339499003, -0.30791432274701563, 0.11539091673345722, 0.032611539957456685, 0.04512421148277721, -0.06653938350316725, -0.1787189726105058, -0.06723433799649539, 0.038089720738782105, 0.10577022837242112, 0.1718143544233355, 0.17923509814090244, -0.24210587064980676, -0.08372816508390794, 0.4023487212038354, -0.11321066381251992, -0.13542417271160764, 0.1543383217128729, -0.1835566543717409, -0.0900871214799975, 0.18610138744483457, 0.1404575825846558, 0.10562083525460605, -0.09799545851389044, 0.08086771324129874, -0.03909383630808933, 0.16422575534716566, 0.07378038438037038, 0.011953540219876328, 0.2716326279161302, 0.1443063666112721, 0.08489356886497454, 0.13472907219609048, -0.11396983887996037, -0.029712298943808203, -0.3451273302327057, -0.1612125923955127, -0.17594261776876488, 0.08797346013843228, -0.047786953655610746, -0.15001938992523048, 0.35962171363154133, 0.08299326858372967, 0.22207698950445967, -0.06520209200618984, 0.27596476674079895, 0.08642555422603006, 0.09080542789888568, 0.0764674466238112, 0.23946800649558242, 0.21932439841084966, 0.10754705477554939, -0.2714674532241923, -0.03182160840859931, 0.053784857250406944] |
710.1085 | One Dimensional Locally Connected S-spaces | We construct, assuming Jensen's principle diamond, a one-dimensional locally
connected hereditarily separable continuum without convergent sequences. The
construction is an inverse limit in omega_1 steps, and is patterned after the
original Fedorchuk construction of a compact S-space. To make it
one-dimensional, each space in the inverse limit is a copy of the Menger
sponge.
| math.GN | we construct assuming jensens principle diamond a onedimensional locally connected hereditarily separable continuum without convergent sequences the construction is an inverse limit in omega_1 steps and is patterned after the original fedorchuk construction of a compact sspace to make it onedimensional each space in the inverse limit is a copy of the menger sponge | [['we', 'construct', 'assuming', 'jensens', 'principle', 'diamond', 'a', 'onedimensional', 'locally', 'connected', 'hereditarily', 'separable', 'continuum', 'without', 'convergent', 'sequences', 'the', 'construction', 'is', 'an', 'inverse', 'limit', 'in', 'omega_1', 'steps', 'and', 'is', 'patterned', 'after', 'the', 'original', 'fedorchuk', 'construction', 'of', 'a', 'compact', 'sspace', 'to', 'make', 'it', 'onedimensional', 'each', 'space', 'in', 'the', 'inverse', 'limit', 'is', 'a', 'copy', 'of', 'the', 'menger', 'sponge']] | [-0.1003399316255969, 0.15548838894729097, -0.09132587232764948, 0.08832896138429297, -0.0883898437368097, -0.1370104303824957, 0.048462556693940076, 0.4234509054157469, -0.305963354944079, -0.12288881943526643, 0.15776602417247854, -0.2688987078835015, -0.09521551235121917, 0.17830737868401533, -0.12364788695790425, 0.026593467496611452, 0.07029877085652617, 0.03985765831613982, -0.059409534058499115, -0.23688389726966205, 0.3211235186361052, -0.021558186073822004, 0.27415831738875973, -0.0115039451478946, 0.1603563737977917, 0.05101396979255326, 0.004524467193900987, 0.010227932309606802, -0.16561263666867657, 0.11292672776444643, 0.22764688669014033, 0.0678545068949461, 0.26508751041600825, -0.35261458893203074, -0.19371442787275925, 0.16719469217652524, 0.0789878236612788, 0.08269763606841918, 0.02180452616260111, -0.2818679587400294, 0.07155026688619896, -0.1254209604209151, -0.182945350435114, -0.040349738836219465, 0.04233384892103021, -0.02866517506212134, -0.2577619304798578, -0.00815073398148848, 0.17045523768670304, -0.0010997936371024007, -0.05253967294400489, -0.012968098580906237, -0.022892808714122685, 0.05568937407978983, -0.08451443334127327, 0.05357476894709247, 0.0997335055101387, -0.004846652245355977, -0.11618948632989216, 0.32575696648995356, -0.0756377953867842, -0.2232196567994025, 0.13856845197302323, -0.11025319091492781, -0.12863525275692897, 0.15682443443047642, 0.03921994171967661, 0.13795422584991213, -0.13879621004323578, 0.20729759937320422, -0.1317146376327232, 0.2013980708574376, 0.11102024141561102, 0.007345377001911402, 0.1393408803269267, 0.19732307429162407, 0.13386399736110535, 0.2231192367617041, -0.0042628618280610275, -0.05387718715118589, -0.33562679740565793, -0.16927995971787754, -0.2435755512840977, 0.13840118481743116, -0.10344355390380197, -0.25654518146378297, 0.29059770173841604, 0.009881630876205034, 0.15435594508286427, 0.1066832938403995, 0.25494839123415725, 0.1105248072417453, 0.049640459522682555, 0.08261008770636248, 0.12924648396222405, 0.18604907778057236, -0.014351363423176937, -0.13985591587347532, -0.04319673703004675, 0.1978865261103406] |
710.1086 | Comment on "Nonexponential Decay Via Tunneling in Tight-Binding Lattices
and the Optical Zeno Effect" | S. Longhi [1] studied the survival probability P(t) of an unstable state
coupled to a tight-binding lattice finding an exact analytical solution that
describes the nonexponential decay. When the first coupling is smaller than the
others, he shows that P(t) has a natural decomposition into two terms; one is
the exponential decay, consistent with the Gamow's approach, and the other is
the correction to this decay. The first purpose of this Comment is to show that
the condition imposed on the system; the site energy of the first site is set
in the center of the band, limits the generality of the results. A
decomposition based on the spectral properties of the system removes this
restriction [2]. Other point of this Comment is that, for the weak coupling
limit, the author stated that a Zeno effect occurs for t less than t*, where t*
is the smallest root of the equation g_eff(t*)=g_0, and for the strong coupling
limit an anti-Zeno effect occurs for t close to t**, where t** is the first
peak of g_eff. By using a spectral formulation we show that, the anti-Zeno
effect not only requires a strong coupling limit, also is necessary to choose
the resonance energy and width such that a destructive interference can occur.
We present this interference and give an analytical expression and physically
interpretation for t* and t**.
| quant-ph | s longhi 1 studied the survival probability pt of an unstable state coupled to a tightbinding lattice finding an exact analytical solution that describes the nonexponential decay when the first coupling is smaller than the others he shows that pt has a natural decomposition into two terms one is the exponential decay consistent with the gamows approach and the other is the correction to this decay the first purpose of this comment is to show that the condition imposed on the system the site energy of the first site is set in the center of the band limits the generality of the results a decomposition based on the spectral properties of the system removes this restriction 2 other point of this comment is that for the weak coupling limit the author stated that a zeno effect occurs for t less than t where t is the smallest root of the equation g_efftg_0 and for the strong coupling limit an antizeno effect occurs for t close to t where t is the first peak of g_eff by using a spectral formulation we show that the antizeno effect not only requires a strong coupling limit also is necessary to choose the resonance energy and width such that a destructive interference can occur we present this interference and give an analytical expression and physically interpretation for t and t | [['s', 'longhi', '1', 'studied', 'the', 'survival', 'probability', 'pt', 'of', 'an', 'unstable', 'state', 'coupled', 'to', 'a', 'tightbinding', 'lattice', 'finding', 'an', 'exact', 'analytical', 'solution', 'that', 'describes', 'the', 'nonexponential', 'decay', 'when', 'the', 'first', 'coupling', 'is', 'smaller', 'than', 'the', 'others', 'he', 'shows', 'that', 'pt', 'has', 'a', 'natural', 'decomposition', 'into', 'two', 'terms', 'one', 'is', 'the', 'exponential', 'decay', 'consistent', 'with', 'the', 'gamows', 'approach', 'and', 'the', 'other', 'is', 'the', 'correction', 'to', 'this', 'decay', 'the', 'first', 'purpose', 'of', 'this', 'comment', 'is', 'to', 'show', 'that', 'the', 'condition', 'imposed', 'on', 'the', 'system', 'the', 'site', 'energy', 'of', 'the', 'first', 'site', 'is', 'set', 'in', 'the', 'center', 'of', 'the', 'band', 'limits', 'the', 'generality', 'of', 'the', 'results', 'a', 'decomposition', 'based', 'on', 'the', 'spectral', 'properties', 'of', 'the', 'system', 'removes', 'this', 'restriction', '2', 'other', 'point', 'of', 'this', 'comment', 'is', 'that', 'for', 'the', 'weak', 'coupling', 'limit', 'the', 'author', 'stated', 'that', 'a', 'zeno', 'effect', 'occurs', 'for', 't', 'less', 'than', 't', 'where', 't', 'is', 'the', 'smallest', 'root', 'of', 'the', 'equation', 'g_efftg_0', 'and', 'for', 'the', 'strong', 'coupling', 'limit', 'an', 'antizeno', 'effect', 'occurs', 'for', 't', 'close', 'to', 't', 'where', 't', 'is', 'the', 'first', 'peak', 'of', 'g_eff', 'by', 'using', 'a', 'spectral', 'formulation', 'we', 'show', 'that', 'the', 'antizeno', 'effect', 'not', 'only', 'requires', 'a', 'strong', 'coupling', 'limit', 'also', 'is', 'necessary', 'to', 'choose', 'the', 'resonance', 'energy', 'and', 'width', 'such', 'that', 'a', 'destructive', 'interference', 'can', 'occur', 'we', 'present', 'this', 'interference', 'and', 'give', 'an', 'analytical', 'expression', 'and', 'physically', 'interpretation', 'for', 't', 'and', 't']] | [-0.16101612224347062, 0.12902071150640645, -0.08594119475947486, 0.0665736911818385, -0.055770776640209886, -0.14239898523315786, 0.06525483278764618, 0.3155548657476902, -0.24969780871023733, -0.2576587374177244, 0.07073826321555922, -0.271709662684136, -0.1158121014924513, 0.16312847540817327, -0.0025425051194098262, -0.007316539380699396, 0.046959978681471615, 0.0892248722145127, -0.05360076820270883, -0.2036552918992109, 0.313305275677962, 0.059649356295251185, 0.25836941751754944, 0.10905127624774144, 0.07276910549236669, 0.0021004596238748895, 0.04018951413635578, -0.00013925686271654234, -0.14588197947592965, 0.04894970267804133, 0.16095669145695865, 0.07294771183696058, 0.25663907547170917, -0.37451131203936205, -0.17296038311337017, 0.10407553599526485, 0.13812475992573633, 0.11942288136523631, -0.029207899812220908, -0.25046593884420065, 0.0928128713172757, -0.1402127495283882, -0.11444678851713737, -0.02466130984429684, 0.06606721665296289, -0.03416390318113069, -0.3157481838286751, 0.08233401196168011, 0.11602128855159713, 0.020970544018265275, -0.03909227735052506, -0.11282469605095685, -0.017076576069618266, 0.10057127818736869, 0.05529251348175522, 0.024975905981328754, 0.08571536867568891, -0.10604761260354685, -0.0880318442069822, 0.3718585603394442, -0.09127975736705897, -0.15929289902663893, 0.16965466720879907, -0.16847939328704442, -0.11063177711433834, 0.1377396564475364, 0.09270908012158341, 0.12180697650752134, -0.13431833123924056, 0.11650479482538584, -0.024705523169702953, 0.16832329245141914, 0.06224611936757962, 0.03600602783055769, 0.13993248826099766, 0.1766255179285589, 0.08528770507494401, 0.13605099134923268, -0.09123852100430263, -0.0831228447581331, -0.3431930267231332, -0.15903949917138865, -0.19820314170689218, 0.0802122259016485, -0.07238688710831209, -0.1383604887396925, 0.3637927673012018, 0.153244856438703, 0.22538333222270013, 0.05354851841797224, 0.27858496850977343, 0.19125627243639126, 0.04254070670033495, 0.051976483968804436, 0.25891341186025074, 0.1281920997832074, 0.07547168023470376, -0.2817822370947235, 0.0540859878456427, 0.05793771076326569] |
710.1087 | $Z^{'0}Z^{'0}$, $K^{+}K^{-}$ and $K^{0}\bar{K}^{0}$ boson production
with definite helicity amplitudes through $e^{+}e^{-}$ collisions in the
3-3-1 models without exotic electric charges | A detailed analysis of $Z^{'0}Z^{'0}$, $K^{+}K^{-}$ and $K^{0}\bar{K}^{0}$
pair production in $e^{+}e^{-}$ collisions is presented by using helicity
amplitudes. The trilinear bosons couplings in the $SU(3)_{C}\otimes
SU(3)_{L}\otimes U(1)_{X}$ models without exotic electric charges are also
calculated. We carry out the mentioned analysis for two models, one of them is
a one family model which is an $E_6$ subgroup \cite{b1} and the other one is a
three family model with right handed neutrinos\cite{b2,b3}. These models do not
contain exotic electric charges. For them, we give explicit formulae and the
corresponding numerical estimates of the cross-sections and angular
distributions occurred in the processes $e^{+}e^{-}\to Z^{'0}Z^{'0}$,
$e^{+}e^{-} \to K^{+}K^{-}$ and $e^{+}e^{-}\to K^{0}\bar{K}^{0}$ present in our
models. We suppose these processes are invariant under $C$, $P$ and $T$
transformation.
| hep-ph | a detailed analysis of z0z0 kk and k0bark0 pair production in ee collisions is presented by using helicity amplitudes the trilinear bosons couplings in the su3_cotimes su3_lotimes u1_x models without exotic electric charges are also calculated we carry out the mentioned analysis for two models one of them is a one family model which is an e_6 subgroup citeb1 and the other one is a three family model with right handed neutrinosciteb2b3 these models do not contain exotic electric charges for them we give explicit formulae and the corresponding numerical estimates of the crosssections and angular distributions occurred in the processes eeto z0z0 ee to kk and eeto k0bark0 present in our models we suppose these processes are invariant under c p and t transformation | [['a', 'detailed', 'analysis', 'of', 'z0z0', 'kk', 'and', 'k0bark0', 'pair', 'production', 'in', 'ee', 'collisions', 'is', 'presented', 'by', 'using', 'helicity', 'amplitudes', 'the', 'trilinear', 'bosons', 'couplings', 'in', 'the', 'su3_cotimes', 'su3_lotimes', 'u1_x', 'models', 'without', 'exotic', 'electric', 'charges', 'are', 'also', 'calculated', 'we', 'carry', 'out', 'the', 'mentioned', 'analysis', 'for', 'two', 'models', 'one', 'of', 'them', 'is', 'a', 'one', 'family', 'model', 'which', 'is', 'an', 'e_6', 'subgroup', 'citeb1', 'and', 'the', 'other', 'one', 'is', 'a', 'three', 'family', 'model', 'with', 'right', 'handed', 'neutrinosciteb2b3', 'these', 'models', 'do', 'not', 'contain', 'exotic', 'electric', 'charges', 'for', 'them', 'we', 'give', 'explicit', 'formulae', 'and', 'the', 'corresponding', 'numerical', 'estimates', 'of', 'the', 'crosssections', 'and', 'angular', 'distributions', 'occurred', 'in', 'the', 'processes', 'eeto', 'z0z0', 'ee', 'to', 'kk', 'and', 'eeto', 'k0bark0', 'present', 'in', 'our', 'models', 'we', 'suppose', 'these', 'processes', 'are', 'invariant', 'under', 'c', 'p', 'and', 't', 'transformation']] | [-0.13132201954572192, 0.20119064673165285, -0.07713710889220238, 0.14246645090996377, -0.057028206040887465, -0.18445668588467543, 0.019742939837141742, 0.36107921798623377, -0.210107950726524, -0.25512059737417486, 0.013256297581979343, -0.3521557479097898, -0.03286721321543859, 0.15399828292673542, 0.06659321655939904, 0.05116523700510903, 0.03996224175376307, 0.030100562767456134, -0.041733413679345, -0.22811335945058794, 0.2834511698869568, -0.029691205878231312, 0.21266604474775733, 0.06934876506162371, 0.059541621160009994, -0.006464728387072682, -0.0431225734416418, -0.12760320849596493, -0.14922708579744662, 0.082982610408151, 0.20018143705507804, 0.06653308881927401, 0.09500488389148226, -0.36703564139503625, -0.1309556601561546, 0.1832841204088782, 0.14480234016739432, 0.07783769389648261, -0.06061206633345254, -0.29797212539180634, 0.09799329470467544, -0.21687656073200126, -0.08286575750718193, -0.11307814681241589, 0.007365770322541075, -0.06382897433884922, -0.3535995430786223, 0.077613424813799, 0.035374139931293264, 0.05448582076895682, -0.03216274660606418, -0.18074103820347978, -0.09051517078525297, 0.019485240047346922, 0.12235698909799178, -0.01506885181691858, 0.14230411062242404, -0.12586467861922668, -0.17670433010695683, 0.36338514682269774, -0.056562495977437545, -0.24262086646030506, 0.16922298309791292, -0.15477159493527706, -0.1872541201300919, 0.11546069075402263, 0.17624570914514123, 0.12151216221372446, -0.1884393030927787, 0.17587143981232187, -0.038802434042501714, 0.08736292206712308, 0.04570406314826781, 0.0300015491403399, 0.2118356560479902, 0.10425046966561387, -0.02487512762590702, 0.06799150987635291, -0.05302995125689889, -0.08123582215499013, -0.4273879674653853, -0.14789405126770538, -0.015186278235858245, 0.07844400159181884, -0.05111782431096447, -0.08399243868001166, 0.366200782794265, 0.09402098378444451, 0.2523869457429335, 0.006517192545054, 0.25374025441405756, 0.1174026281439564, 0.08286924892754835, 0.05726513288344347, 0.22473713249576488, 0.1385197394955603, 0.06754783643613806, -0.19502714748734667, -0.009354922812617001, 0.11672476252293094] |
710.1088 | Effect of Landau Level Mixing on Braiding Statistics | We examine the effect of Landau level mixing on the braiding statistics of
quasiparticles of abelian and nonabelian quantum Hall states. While path
dependent geometric phases can perturb the abelian part of the statistics, we
find that the nonabelian properties remain unchanged to an accuracy that is
exponentially small in the distance between quasiparticles.
| cond-mat.mes-hall cond-mat.str-el | we examine the effect of landau level mixing on the braiding statistics of quasiparticles of abelian and nonabelian quantum hall states while path dependent geometric phases can perturb the abelian part of the statistics we find that the nonabelian properties remain unchanged to an accuracy that is exponentially small in the distance between quasiparticles | [['we', 'examine', 'the', 'effect', 'of', 'landau', 'level', 'mixing', 'on', 'the', 'braiding', 'statistics', 'of', 'quasiparticles', 'of', 'abelian', 'and', 'nonabelian', 'quantum', 'hall', 'states', 'while', 'path', 'dependent', 'geometric', 'phases', 'can', 'perturb', 'the', 'abelian', 'part', 'of', 'the', 'statistics', 'we', 'find', 'that', 'the', 'nonabelian', 'properties', 'remain', 'unchanged', 'to', 'an', 'accuracy', 'that', 'is', 'exponentially', 'small', 'in', 'the', 'distance', 'between', 'quasiparticles']] | [-0.2006792583571816, 0.3407183903793878, -0.10666659802060437, 0.09712933641384114, -0.05393505794927478, -0.08722676271227775, 0.08260890511640658, 0.3359381512359337, -0.28055232928858864, -0.2783509262458042, 0.00280970267528944, -0.26090353796327553, -0.12355570067410115, 0.14477501573317028, -0.0718373172675018, 0.008940615932698603, 0.017428610232417232, 0.048164732857710786, -0.11043983753080722, -0.291887320233164, 0.3301716008637514, 0.01814467177717705, 0.338598727464193, 0.07728923564233507, 0.09238636153060253, -0.002626888626427562, 0.004414945530394713, 0.017655152383398404, -0.11017433423856143, 0.04272366537070074, 0.19432379486453202, -0.05865508410217309, 0.17410874118407568, -0.4262542687701406, -0.1613187884213403, 0.0676931149619459, 0.14185756095253896, 0.13094916982421032, -0.012067187898706092, -0.3020129058234118, 0.0680635144278683, -0.17533723796131434, -0.12502713284144798, -0.10422218085646077, 0.04042652163102671, -0.04959378802083881, -0.17174754233134013, 0.13616292678785544, 0.08303048092595956, 0.05423399249384939, -0.004399220597136904, -0.0784752465163668, -0.06847835856455343, 0.14892007929544585, 0.04273982440483653, -0.03889954191604543, 0.1451778655561308, -0.24557928973808885, -0.1648930606121818, 0.3624984187729381, -0.07723731335459484, -0.19968712966268262, 0.17694828838661866, -0.16556508937032455, -0.11745752054439099, 0.11651015591255769, 0.11353604588657618, 0.07587998758794533, -0.04111608795614706, 0.15378452940839688, -0.06870946476098012, 0.14195796442045658, 0.010868867652283775, 0.12236909880475313, 0.24592014770759205, 0.08111619043241565, 0.08048082805342144, 0.13882801979262796, -0.10015461580500144, -0.10123237391450891, -0.3409817514389201, -0.17158093547483008, -0.22911211572311543, 0.08315617648056811, -0.01489541779624738, -0.2238141113754224, 0.448934120160562, 0.1823144977787268, 0.17898766066948021, 0.03257811224277787, 0.21736698127696635, 0.13894280430826325, 0.03561303478286222, 0.07296378047343481, 0.2322798959514195, 0.17693491469792746, -0.031931119837315274, -0.3221231647077258, -0.003920735394651139, 0.09692113679247322] |
710.1089 | Eigenvalue estimates for the Aharonov-Bohm operator in a domain | We prove semi-classical estimates on moments of eigenvalues of the
Aharonov-Bohm operator in bounded two-dimensional domains. Moreover, we present
a counterexample to the generalized diamagnetic inequality which was proposed
by Erdos, Loss and Vougalter. Numerical studies complement these results.
| math-ph math.MP | we prove semiclassical estimates on moments of eigenvalues of the aharonovbohm operator in bounded twodimensional domains moreover we present a counterexample to the generalized diamagnetic inequality which was proposed by erdos loss and vougalter numerical studies complement these results | [['we', 'prove', 'semiclassical', 'estimates', 'on', 'moments', 'of', 'eigenvalues', 'of', 'the', 'aharonovbohm', 'operator', 'in', 'bounded', 'twodimensional', 'domains', 'moreover', 'we', 'present', 'a', 'counterexample', 'to', 'the', 'generalized', 'diamagnetic', 'inequality', 'which', 'was', 'proposed', 'by', 'erdos', 'loss', 'and', 'vougalter', 'numerical', 'studies', 'complement', 'these', 'results']] | [-0.12155968867438405, 0.05366244722206734, -0.06233265255822947, 0.08041301011843116, -0.07528622968024329, -0.10612912379254244, 0.030448706544886687, 0.3284169481577058, -0.23355269887925764, -0.22169975882494136, 0.07194874777250286, -0.35430577311566785, -0.2140699738244477, 0.20791796928173617, -0.12635385105386376, 0.10831903404017028, 0.10871742415781084, -0.002772776949170389, -0.08811729334564389, -0.27426223197069605, 0.33669053807266447, -0.03047347246779521, 0.235050406153804, 0.17368430938375623, 0.034426958091851124, -0.025348221981211713, 0.019861657687119748, 0.03724185183742329, -0.23404934441082573, 0.15634379646201668, 0.20104687695244425, 0.06484870647545904, 0.2687750751838872, -0.4275265642882962, -0.19921174417494944, 0.09885307857276578, 0.13650599773973227, 0.0720328850224369, -0.06768541393103078, -0.36224309178559405, 0.09207799974338789, -0.10869064689368794, -0.18377894208472417, -0.1252381528458117, -0.029948582480612555, 0.04476556775013083, -0.3214043819982755, 0.1358078161597644, 0.15331022710980555, 0.06827784231618832, -0.1217498152247189, -0.1344780380420975, 0.055671577991329525, 0.019377826418923706, 0.037326075479780375, -0.020104605609575582, 0.03983217521913742, -0.0041774483229107175, -0.20125940640604026, 0.2549507312084499, -0.05780303654702086, -0.2408069742255305, 0.09625604476681665, -0.2209078993427714, -0.09639503404890236, 0.026548721729532668, 0.12661751739582733, 0.1522238999115009, -0.10153079476501596, 0.11734635001630522, -0.14518438277177906, 0.09639763774497337, 0.11288546513471949, -0.006794972051131098, 0.07344166473730614, 0.05782293221962295, 0.13402572087943554, 0.1877829675427883, -0.0339279795053268, -0.108388843701074, -0.31319305614421244, -0.15048701450914928, -0.3008263739512155, 0.11201095253866362, -0.10830406211033206, -0.18611979445344523, 0.37692749412044096, 0.12097081233208117, 0.13742236881271788, 0.07028734098543953, 0.24953757128433177, 0.1711685128853117, 0.018921222476484745, 0.06343374773247265, 0.21449865273347027, 0.20827653552528078, 0.09351154263008778, -0.22583660493163685, 0.014794307834419766, 0.1844005246878767] |
710.109 | Vortex lattices of bosons in deep rotating optical lattices | We study vortex-lattice phases for a Bose gas trapped in a rotating
optical-lattice near the superfluid--Mott-insulator transition. We find a
series of abrupt structural phase transitions where vortices are pinned with
their cores only on plaquettes or only on sites. We discuss connections between
these vortex structures and the Hofstadter-butterfly spectrum of free particles
on a rotating lattice.
| cond-mat.other | we study vortexlattice phases for a bose gas trapped in a rotating opticallattice near the superfluidmottinsulator transition we find a series of abrupt structural phase transitions where vortices are pinned with their cores only on plaquettes or only on sites we discuss connections between these vortex structures and the hofstadterbutterfly spectrum of free particles on a rotating lattice | [['we', 'study', 'vortexlattice', 'phases', 'for', 'a', 'bose', 'gas', 'trapped', 'in', 'a', 'rotating', 'opticallattice', 'near', 'the', 'superfluidmottinsulator', 'transition', 'we', 'find', 'a', 'series', 'of', 'abrupt', 'structural', 'phase', 'transitions', 'where', 'vortices', 'are', 'pinned', 'with', 'their', 'cores', 'only', 'on', 'plaquettes', 'or', 'only', 'on', 'sites', 'we', 'discuss', 'connections', 'between', 'these', 'vortex', 'structures', 'and', 'the', 'hofstadterbutterfly', 'spectrum', 'of', 'free', 'particles', 'on', 'a', 'rotating', 'lattice']] | [-0.2190876095646045, 0.2655834704155809, -0.016347969263984727, 0.025429592371500772, 0.011053360757771236, -0.13112236214159378, 0.12324131093919277, 0.4329007358515057, -0.18948241780865296, -0.21546486195514042, 0.07784351601128883, -0.33610686671053025, -0.11163461878333755, 0.10396410325333348, 0.07729081343658718, -0.021243249588035817, -0.004794033228194919, 0.015158091932695744, -0.11651880141540334, -0.16810022920755477, 0.32752947970935753, -0.0411795010742057, 0.26524270032050795, 0.029680095987212805, 0.031868807457644366, -0.06148654461741961, 0.09267566443003457, 0.014840117543293485, -0.21999842265685057, 0.04364978325536178, 0.15907492816191296, -0.08294346685328617, 0.1434338885070435, -0.4963868201292794, -0.21217202650511574, 0.1030339968655708, 0.19158972005745203, 0.1585810324177146, -0.06851808997152116, -0.3155127841786578, -0.027779828371672796, -0.11903747280353102, -0.12993147512315772, -0.10528409047501869, 0.018552366772602344, 0.08058405847786444, -0.19960308679507982, 0.09772987989708781, 0.06475043518404508, 0.1187960976967588, -0.10345922791848666, -0.023254679861189478, -0.036271880838441954, 0.03990312868424145, -0.010228254487095722, 0.01445084307990077, 0.1723621294689204, -0.1563045721950716, -0.08037587663094545, 0.39294623756973907, -0.048199572118705715, -0.10673989943260777, 0.25141372251452815, -0.19748721595734142, -0.11027114180815888, 0.15345998798850283, 0.16480809970405594, 0.09500651927825449, -0.04107745099363142, 0.017591071715538295, -0.05732939689388049, 0.17816974213025694, 0.09900281400066512, 0.002888002770085787, 0.37289218398228546, 0.17271544382875337, 0.03484076358666965, 0.2023737645740139, -0.13700834171573534, -0.15924189183539872, -0.2641070037036492, -0.15712861092118868, -0.20211866072475396, -0.00878114445167112, -0.03291839027977027, -0.22998797228752538, 0.37125942432161035, 0.05756861701856592, 0.23059150656827743, -0.05175825567305859, 0.1997024456163515, 0.04415970371136892, 0.03853486815130274, 0.09099362573811207, 0.21924933225944124, 0.1343790766349512, 0.0952519658985066, -0.2642557788479688, -0.06836006420279114, 0.0899474249414072] |
710.1091 | Spin Glass Theory: numerical and experimental results in
three-dimensional systems | Here I will review the theoretical results that have been obtained for spin
glasses. I will concentrate my attention on the predictions of the mean field
approach in three dimensional systems and on its numerical and experimental
verifications.
| cond-mat.dis-nn cond-mat.soft | here i will review the theoretical results that have been obtained for spin glasses i will concentrate my attention on the predictions of the mean field approach in three dimensional systems and on its numerical and experimental verifications | [['here', 'i', 'will', 'review', 'the', 'theoretical', 'results', 'that', 'have', 'been', 'obtained', 'for', 'spin', 'glasses', 'i', 'will', 'concentrate', 'my', 'attention', 'on', 'the', 'predictions', 'of', 'the', 'mean', 'field', 'approach', 'in', 'three', 'dimensional', 'systems', 'and', 'on', 'its', 'numerical', 'and', 'experimental', 'verifications']] | [-0.07182361713708624, 0.1026257571249612, -0.09834954912137044, 0.0015924716196758183, -0.055669301924736875, -0.12031884475513116, -0.004676560577201216, 0.44244065214144557, -0.1343743837389507, -0.2301041222128429, 0.15578715577660324, -0.32691351525289447, -0.1682807623874396, 0.24607550436140677, -0.04693796621684573, 0.04947165828535186, 0.11983703954243347, 0.05109149320541244, -0.09918835707082364, -0.30055019421208845, 0.3170221565585387, 0.04625797845227154, 0.27286198472383577, 0.10351743819620951, 0.060202238738144696, -0.0368745844002421, -0.07467740352608655, 0.0637545656216772, -0.22816671145023734, 0.1479895317338799, 0.18935150172757476, 0.11241442498775493, 0.27212240723402875, -0.4865807141912611, -0.23048846977517792, -0.007195654006576852, 0.11348877700143739, 0.1598618331512338, -0.10107591726792682, -0.2765881736811839, 0.0558268793270384, -0.175255584211922, -0.08869261674484924, -0.14196759185410643, 0.04937430968397836, 0.04519617681293503, -0.18259864535770917, 0.0022947992516779586, 0.08603251519563951, 0.1106709971974947, -0.08022694970101216, -0.23798219748086444, 0.03679415190862002, 0.07858496752420538, 0.09344182437972019, -0.012379411914336839, 0.08626476239020887, -0.13413727912369436, -0.1828907043918183, 0.3576400589786078, -0.030785183863420235, -0.17240853024352537, 0.22198331381782496, -0.17020984267276762, -0.1882661810438884, 0.051256516360138595, 0.20613701065610113, 0.09570426238994849, -0.09780287357831471, 0.0672887094582333, -0.03956737596002456, 0.10877755993830138, -0.07363665730104242, 0.015461563990500412, 0.22955431803864867, 0.1894672465951819, -0.06424047535064777, 0.03735967456534701, -0.11699611285554343, -0.1302911972283925, -0.31438738421389933, -0.14880690620721956, -0.22021352041414693, 0.06168429777761431, 0.005193034775928888, -0.03943047258316686, 0.42808953898125574, 0.2586402029065587, 0.1389291415873327, 0.059899516998005935, 0.2730232386506702, 0.07772600359136336, -0.003066750157526449, -0.02938414769443242, 0.33019744928338024, 0.13522179516669558, 0.13411444496657504, -0.20289885100761526, -0.006761518907488177, 0.012266624939480894] |
710.1092 | Testing LCDM with the Growth Function \delta(a): Current Constraints | We have compiled a dataset consisting of 22 datapoints at a redshift range
(0.15,3.8) which can be used to constrain the linear perturbation growth rate
f=\frac{d\ln\delta}{d\ln a}. Five of these data-points constrain directly the
growth rate f through either redshift distortions or change of the power
spectrum with redshift. The rest of the datapoints constrain f indirectly
through the rms mass fluctuation \sigma_8(z) inferred from Ly-\alpha at various
redshifts. Our analysis tests the consistency of the LCDM model and leads to a
constraint of the Wang-Steinhardt growth index \gamma (defined from
f=\Omega_m^\gamma) as \gamma=0.67^{+0.20}_{-0.17}. This result is clearly
consistent at $1\sigma$ with the value \gamma={6/11}=0.55 predicted by LCDM. A
first order expansion of the index \gamma in redshift space leads to similar
results.We also apply our analysis on a new null test of LCDM which is similar
to the one recently proposed by Chiba and Nakamura (arXiv:0708.3877) but does
not involve derivatives of the expansion rate $H(z)$. This also leads to the
fact that LCDM provides an excellent fit to the current linear growth data.
| astro-ph gr-qc hep-ph | we have compiled a dataset consisting of 22 datapoints at a redshift range 01538 which can be used to constrain the linear perturbation growth rate ffracdlndeltadln a five of these datapoints constrain directly the growth rate f through either redshift distortions or change of the power spectrum with redshift the rest of the datapoints constrain f indirectly through the rms mass fluctuation sigma_8z inferred from lyalpha at various redshifts our analysis tests the consistency of the lcdm model and leads to a constraint of the wangsteinhardt growth index gamma defined from fomega_mgamma as gamma067020_017 this result is clearly consistent at 1sigma with the value gamma611055 predicted by lcdm a first order expansion of the index gamma in redshift space leads to similar resultswe also apply our analysis on a new null test of lcdm which is similar to the one recently proposed by chiba and nakamura arxiv07083877 but does not involve derivatives of the expansion rate hz this also leads to the fact that lcdm provides an excellent fit to the current linear growth data | [['we', 'have', 'compiled', 'a', 'dataset', 'consisting', 'of', '22', 'datapoints', 'at', 'a', 'redshift', 'range', '01538', 'which', 'can', 'be', 'used', 'to', 'constrain', 'the', 'linear', 'perturbation', 'growth', 'rate', 'ffracdlndeltadln', 'a', 'five', 'of', 'these', 'datapoints', 'constrain', 'directly', 'the', 'growth', 'rate', 'f', 'through', 'either', 'redshift', 'distortions', 'or', 'change', 'of', 'the', 'power', 'spectrum', 'with', 'redshift', 'the', 'rest', 'of', 'the', 'datapoints', 'constrain', 'f', 'indirectly', 'through', 'the', 'rms', 'mass', 'fluctuation', 'sigma_8z', 'inferred', 'from', 'lyalpha', 'at', 'various', 'redshifts', 'our', 'analysis', 'tests', 'the', 'consistency', 'of', 'the', 'lcdm', 'model', 'and', 'leads', 'to', 'a', 'constraint', 'of', 'the', 'wangsteinhardt', 'growth', 'index', 'gamma', 'defined', 'from', 'fomega_mgamma', 'as', 'gamma067020_017', 'this', 'result', 'is', 'clearly', 'consistent', 'at', '1sigma', 'with', 'the', 'value', 'gamma611055', 'predicted', 'by', 'lcdm', 'a', 'first', 'order', 'expansion', 'of', 'the', 'index', 'gamma', 'in', 'redshift', 'space', 'leads', 'to', 'similar', 'resultswe', 'also', 'apply', 'our', 'analysis', 'on', 'a', 'new', 'null', 'test', 'of', 'lcdm', 'which', 'is', 'similar', 'to', 'the', 'one', 'recently', 'proposed', 'by', 'chiba', 'and', 'nakamura', 'arxiv07083877', 'but', 'does', 'not', 'involve', 'derivatives', 'of', 'the', 'expansion', 'rate', 'hz', 'this', 'also', 'leads', 'to', 'the', 'fact', 'that', 'lcdm', 'provides', 'an', 'excellent', 'fit', 'to', 'the', 'current', 'linear', 'growth', 'data']] | [-0.05247575081747902, 0.06460255690352128, -0.10124983445686453, 0.05989660905016696, -0.10851776139701114, -0.07846594129634255, 0.0483710808754789, 0.31566016636788846, -0.22396611455718385, -0.33777201257043465, 0.07809664679704892, -0.2747663097072612, -0.03224643113447682, 0.2168675334274988, -0.017857942572685286, 0.03826705277075662, 0.03466534968807965, 0.011397835897172198, -0.05687073884388048, -0.27823873247732134, 0.28690637578393385, 0.12420571631039767, 0.2666394043494673, -0.03088783344719559, 0.07649598820956753, -0.06412428983706324, -0.07016404779518352, 0.016343410610844492, -0.20187293184696017, 0.07914099098484526, 0.21428288617582225, 0.1407122896710301, 0.22424349470392746, -0.315353605233352, -0.22550765300607856, 0.10666128464448882, 0.13720088808879474, 0.06326994901824304, -0.027048734806286282, -0.2470782848842004, 0.08057370772876311, -0.18047731094034936, -0.12658807317835882, -0.014564862792544505, -0.025036673897000795, 0.003141228386940544, -0.30035678939619925, 0.17959421323304176, 0.004284951397601296, 0.026969156151308734, -0.04246904300114907, -0.06785657909589217, -0.06777382648673237, 0.06912934059852406, 0.07198571318911169, 0.08810853650519515, 0.11032336094854947, -0.0924975859138238, -0.06823093888267656, 0.4006751906893709, -0.1279620510604753, -0.11681629721184864, 0.18391934449181838, -0.20348844387404183, -0.1379640078254263, 0.1211466656641706, 0.16282970176954917, 0.051644584276329945, -0.1304817759568858, 0.09032921594334767, 0.005096829000531751, 0.24541968188577276, 0.07420328920159269, -0.019975307728985654, 0.23585532361038905, 0.09662597802029375, 0.036738938094555015, 0.07268639336518176, -0.11572445825646248, -0.004842020352097119, -0.2943982851691544, -0.10914663337444996, -0.16961185752468952, 0.07046857596767094, -0.1723332068826387, -0.15103426276678766, 0.4112612851361251, 0.14243387657197137, 0.2561324994391351, 0.13192638146608848, 0.26242229515850984, 0.12604159606579582, 0.10490280024104696, 0.046541703251354836, 0.29466873310396774, 0.1088048131807762, 0.047951381968553454, -0.20443555989631396, 0.07461883170694551, 0.004729293727809015] |
710.1093 | On the Design and Optimization of a Quantum Polynomial-Time Attack on
Elliptic Curve Cryptography | We consider a quantum polynomial-time algorithm which solves the discrete
logarithm problem for points on elliptic curves over $GF(2^m)$. We improve over
earlier algorithms by constructing an efficient circuit for multiplying
elements of binary finite fields and by representing elliptic curve points
using a technique based on projective coordinates. The depth of our proposed
implementation, executable in the Linear Nearest Neighbor (LNN) architecture,
is $O(m^2)$, which is an improvement over the previous bound of $O(m^3)$
derived assuming no architectural restrictions.
| quant-ph | we consider a quantum polynomialtime algorithm which solves the discrete logarithm problem for points on elliptic curves over gf2m we improve over earlier algorithms by constructing an efficient circuit for multiplying elements of binary finite fields and by representing elliptic curve points using a technique based on projective coordinates the depth of our proposed implementation executable in the linear nearest neighbor lnn architecture is om2 which is an improvement over the previous bound of om3 derived assuming no architectural restrictions | [['we', 'consider', 'a', 'quantum', 'polynomialtime', 'algorithm', 'which', 'solves', 'the', 'discrete', 'logarithm', 'problem', 'for', 'points', 'on', 'elliptic', 'curves', 'over', 'gf2m', 'we', 'improve', 'over', 'earlier', 'algorithms', 'by', 'constructing', 'an', 'efficient', 'circuit', 'for', 'multiplying', 'elements', 'of', 'binary', 'finite', 'fields', 'and', 'by', 'representing', 'elliptic', 'curve', 'points', 'using', 'a', 'technique', 'based', 'on', 'projective', 'coordinates', 'the', 'depth', 'of', 'our', 'proposed', 'implementation', 'executable', 'in', 'the', 'linear', 'nearest', 'neighbor', 'lnn', 'architecture', 'is', 'om2', 'which', 'is', 'an', 'improvement', 'over', 'the', 'previous', 'bound', 'of', 'om3', 'derived', 'assuming', 'no', 'architectural', 'restrictions']] | [-0.1722807558835484, -0.007424575709956116, -0.06899922044249251, 0.00345347159600351, -0.07625499030109495, -0.17765667036001104, 0.07567856268433389, 0.38656117068603635, -0.2634843664243817, -0.29303632661467416, 0.07523606986942469, -0.22539399553788825, -0.13673890532227234, 0.29195952534209935, -0.0831620755372569, 0.10628663424868137, 0.053968301977147345, 0.03745451152790338, -0.1215211950824596, -0.3580357037979411, 0.302398834383348, 0.013579503966320771, 0.22844286162871869, -0.009348185907583684, 0.16192817155388184, 0.08129884384106845, -0.02830193844274618, -0.015574113873299211, -0.08511479206208605, 0.14492717729735888, 0.2574803083756706, 0.1389396180980839, 0.20990116125904024, -0.3936989021487534, -0.1998994053225033, 0.15604427513899283, 0.14966887507471255, 0.08337241956905928, -0.011884404428565176, -0.23447345644963208, 0.10967845551349456, -0.14969481888692826, -0.08552139673847706, -0.031595217775611674, 0.03765132317203097, 0.019039582685218194, -0.3045047484454699, -0.022660718418774196, 0.09539136667299317, 0.11725268363952637, -0.030863635527202858, -0.1492666975595057, 0.07832253365486394, 0.04386970908963121, -0.06401677139365347, 0.07275219428702258, 0.05701448561740108, -0.06740292218746617, -0.17556167420116253, 0.3352284895256162, -0.06982238498167134, -0.20357087490847334, 0.053921342361718416, 0.011272396880667657, -0.1112257274944568, 0.15274020093493162, 0.1859076781751355, 0.15073323610704392, -0.10588591208215803, 0.18233479665577762, -0.07857895148044917, 0.20252182859840104, 0.07243677106453106, -0.03401937564631226, 0.11249239470344037, 0.15898161842342234, 0.12026494287420064, 0.14099005593016045, -0.02902651114636683, -0.13881584955379367, -0.2995421496554627, -0.14515469125835806, -0.2019440224103164, 0.02519218919915147, -0.1595053418945099, -0.17718224346172065, 0.39841091064736245, 0.10229519510176033, 0.19430324790300801, 0.115287399632507, 0.32585939383134244, 0.1269488999983878, 0.06789398425962645, 0.1686700780875981, 0.14113482073007616, 0.09389013224863448, -0.0037004432975663803, -0.2140348877859651, 0.055761391203850506, 0.19526819152524694] |
710.1094 | The supernova rate in local galaxy clusters | We report a measurement of the supernova (SN) rates (Ia and core-collapse) in
galaxy clusters based on the 136 SNe of the sample described in Cappellaro et
al. (1999) and Mannucci et al. (2005).
Early-type cluster galaxies show a type Ia SN rate (0.066 SNuM) similar to
that obtained by Sharon et al. (2007) and more than 3 times larger than that in
field early-type galaxies (0.019 SNuM). This difference has a 98% statistical
confidence level. We examine many possible observational biases which could
affect the rate determination, and conclude that none of them is likely to
significantly alter the results. We investigate how the rate is related to
several properties of the parent galaxies, and find that cluster membership,
morphology and radio power all affect the SN rate, while galaxy mass has no
measurable effect. The increased rate may be due to galaxy interactions in
clusters, inducing either the formation of young stars or a different evolution
of the progenitor binary systems.
We present the first measurement of the core-collapse SN rate in cluster
late-type galaxies, which turns out to be comparable to the rate in field
galaxies. This suggests that no large systematic difference in the initial mass
function exists between the two environments.
| astro-ph | we report a measurement of the supernova sn rates ia and corecollapse in galaxy clusters based on the 136 sne of the sample described in cappellaro et al 1999 and mannucci et al 2005 earlytype cluster galaxies show a type ia sn rate 0066 snum similar to that obtained by sharon et al 2007 and more than 3 times larger than that in field earlytype galaxies 0019 snum this difference has a 98 statistical confidence level we examine many possible observational biases which could affect the rate determination and conclude that none of them is likely to significantly alter the results we investigate how the rate is related to several properties of the parent galaxies and find that cluster membership morphology and radio power all affect the sn rate while galaxy mass has no measurable effect the increased rate may be due to galaxy interactions in clusters inducing either the formation of young stars or a different evolution of the progenitor binary systems we present the first measurement of the corecollapse sn rate in cluster latetype galaxies which turns out to be comparable to the rate in field galaxies this suggests that no large systematic difference in the initial mass function exists between the two environments | [['we', 'report', 'a', 'measurement', 'of', 'the', 'supernova', 'sn', 'rates', 'ia', 'and', 'corecollapse', 'in', 'galaxy', 'clusters', 'based', 'on', 'the', '136', 'sne', 'of', 'the', 'sample', 'described', 'in', 'cappellaro', 'et', 'al', '1999', 'and', 'mannucci', 'et', 'al', '2005', 'earlytype', 'cluster', 'galaxies', 'show', 'a', 'type', 'ia', 'sn', 'rate', '0066', 'snum', 'similar', 'to', 'that', 'obtained', 'by', 'sharon', 'et', 'al', '2007', 'and', 'more', 'than', '3', 'times', 'larger', 'than', 'that', 'in', 'field', 'earlytype', 'galaxies', '0019', 'snum', 'this', 'difference', 'has', 'a', '98', 'statistical', 'confidence', 'level', 'we', 'examine', 'many', 'possible', 'observational', 'biases', 'which', 'could', 'affect', 'the', 'rate', 'determination', 'and', 'conclude', 'that', 'none', 'of', 'them', 'is', 'likely', 'to', 'significantly', 'alter', 'the', 'results', 'we', 'investigate', 'how', 'the', 'rate', 'is', 'related', 'to', 'several', 'properties', 'of', 'the', 'parent', 'galaxies', 'and', 'find', 'that', 'cluster', 'membership', 'morphology', 'and', 'radio', 'power', 'all', 'affect', 'the', 'sn', 'rate', 'while', 'galaxy', 'mass', 'has', 'no', 'measurable', 'effect', 'the', 'increased', 'rate', 'may', 'be', 'due', 'to', 'galaxy', 'interactions', 'in', 'clusters', 'inducing', 'either', 'the', 'formation', 'of', 'young', 'stars', 'or', 'a', 'different', 'evolution', 'of', 'the', 'progenitor', 'binary', 'systems', 'we', 'present', 'the', 'first', 'measurement', 'of', 'the', 'corecollapse', 'sn', 'rate', 'in', 'cluster', 'latetype', 'galaxies', 'which', 'turns', 'out', 'to', 'be', 'comparable', 'to', 'the', 'rate', 'in', 'field', 'galaxies', 'this', 'suggests', 'that', 'no', 'large', 'systematic', 'difference', 'in', 'the', 'initial', 'mass', 'function', 'exists', 'between', 'the', 'two', 'environments']] | [-0.07233848575582137, 0.06983679338676355, -0.053947397989573, 0.10062474845567855, -0.0979847919513903, -0.03615668624094347, 0.10038694065041477, 0.3940327204400446, -0.14870249511356035, -0.33025411736310983, 0.027064691709422665, -0.2789008654154292, -0.06771979664179792, 0.22358033868325192, -0.06383084753619098, -0.057575112817490975, 0.09976755783086778, -0.0811014970173923, -0.08569515181858683, -0.3576522846002041, 0.29559214294592784, 0.1149256583780232, 0.2265932904173075, -0.0616082502029291, 0.049415823769693196, -0.08555422859357262, -0.07872699756209352, -0.02228100790028892, -0.18827029965883943, -0.0011971770541560722, 0.20752435525085652, 0.16669247712167662, 0.22925666873783396, -0.34493173517768766, -0.21844632040095946, 0.14079656260224377, 0.19565969682639328, 0.09162620881617796, -0.08970108022892041, -0.2628985985199262, 0.11225138225524527, -0.21348729314191675, -0.11724696614575095, 0.090086755335967, 0.05949820404213558, 0.045455103689838745, -0.2343437948559479, 0.21318419952138623, 0.052765576770847165, 0.05381639885557134, -0.07075548920008104, -0.12144150952467832, -0.05385965806454784, 0.05168216512538493, 0.011294680462423257, 0.08705858519462664, 0.13854367583422217, -0.12700095732650923, -0.025188692568278895, 0.4054466916248202, -0.026453639149648798, -0.009771325293837525, 0.2534402921863991, -0.20064418706361478, -0.15881638679562546, 0.08097727339623904, 0.17136830646862708, 0.08601419927734064, -0.17729334992742757, 0.0023880004161960307, -0.009976585041277292, 0.22487951908714887, 0.038490529027881054, 0.04900033015858243, 0.2507366902263063, 0.0897211814208365, 0.02352634835959889, 0.05136289397799751, -0.16624472271778803, -0.01999176416500676, -0.19498734820134392, -0.1258458475014422, -0.13330940937384872, 0.11205112981928013, -0.13470374981762, -0.09288091847627628, 0.342234095912881, 0.12210182537290654, 0.2458706685500901, 0.03338512502945733, 0.2102745554358812, 0.07417433861097912, 0.09905719195560711, 0.12362105995757369, 0.3403882699041832, 0.1550276436229668, 0.03861175782228934, -0.27454189016347436, 0.1091445511224021, 0.001568200594813722] |
710.1095 | Real Zeuthen numbers for two lines | Given three natural numbers $k,l,d$ such that $k+l=d(d+3)/2$, the Zeuthen
number $N_{d}(l)$ is the number of nonsingular complex algebraic curves of
degree $d$ passing through $k$ points and tangent to $l$ lines in $\PP^2$. It
does not depend on the generic configuration $C$ of points and lines chosen. If
the points and lines are real, the corresponding number $N_{d}^\RR(l,C)$ of
real curves usually depends on the configuration chosen. We use Mikhalkin's
tropical correspondence theorem to prove that for two lines the real Zeuthen
problem is maximal: there exists a configuration $C$ such that
$N_{d}^\RR(2,C)=N_{d}(2)$. The correspondence theorem reduces the computation
to counting certain lattice paths with multiplicities.
| math.AG | given three natural numbers kld such that kldd32 the zeuthen number n_dl is the number of nonsingular complex algebraic curves of degree d passing through k points and tangent to l lines in pp2 it does not depend on the generic configuration c of points and lines chosen if the points and lines are real the corresponding number n_drrlc of real curves usually depends on the configuration chosen we use mikhalkins tropical correspondence theorem to prove that for two lines the real zeuthen problem is maximal there exists a configuration c such that n_drr2cn_d2 the correspondence theorem reduces the computation to counting certain lattice paths with multiplicities | [['given', 'three', 'natural', 'numbers', 'kld', 'such', 'that', 'kldd32', 'the', 'zeuthen', 'number', 'n_dl', 'is', 'the', 'number', 'of', 'nonsingular', 'complex', 'algebraic', 'curves', 'of', 'degree', 'd', 'passing', 'through', 'k', 'points', 'and', 'tangent', 'to', 'l', 'lines', 'in', 'pp2', 'it', 'does', 'not', 'depend', 'on', 'the', 'generic', 'configuration', 'c', 'of', 'points', 'and', 'lines', 'chosen', 'if', 'the', 'points', 'and', 'lines', 'are', 'real', 'the', 'corresponding', 'number', 'n_drrlc', 'of', 'real', 'curves', 'usually', 'depends', 'on', 'the', 'configuration', 'chosen', 'we', 'use', 'mikhalkins', 'tropical', 'correspondence', 'theorem', 'to', 'prove', 'that', 'for', 'two', 'lines', 'the', 'real', 'zeuthen', 'problem', 'is', 'maximal', 'there', 'exists', 'a', 'configuration', 'c', 'such', 'that', 'n_drr2cn_d2', 'the', 'correspondence', 'theorem', 'reduces', 'the', 'computation', 'to', 'counting', 'certain', 'lattice', 'paths', 'with', 'multiplicities']] | [-0.21837075049220359, 0.10112088334913935, -0.043103017446413205, 0.038029410729401754, -0.08384408621406815, -0.15705730350127498, 0.06638669728717396, 0.3438053474426993, -0.2642607254301677, -0.2500109843982076, 0.06526996254880271, -0.28535861608762186, -0.14246480222972271, 0.23084223327041575, -0.07524109233449919, 0.012692717979978589, 0.06035156230311117, 0.0775262400761102, -0.049772547026734476, -0.2917860440753889, 0.353083836569214, -0.06327028750234003, 0.26271042263912925, 0.06607834067539249, 0.09746814762395851, 0.05723599312392977, 0.013150481244965085, 0.03005369364293021, -0.11822493530427573, 0.10213088677196935, 0.24504060061304894, 0.19767399960269844, 0.17276199099616807, -0.3617235817087507, -0.1302433851269951, 0.23333881215816274, 0.10091679020178984, 0.028315746234458625, 0.047885392817388316, -0.17883204562065091, 0.11627970427021529, -0.03971894915813006, -0.19779204735894082, -0.04327827923506209, 0.06278766952997562, 0.061529617241213044, -0.22842592107204412, -0.052695541796319696, 0.053076458030190427, 0.15051445523186505, 0.020812134968243468, -0.10535237937600542, -0.09885643264369189, 0.08161923792936558, 0.011162135284394026, 0.050908223664822075, 0.09336191984074353, -0.07288576342906912, -0.09148028002852954, 0.37558959343118, -0.016704194044278375, -0.22763010086401284, 0.18714214681457836, -0.131282965553183, -0.1153410473178385, 0.16958903393355532, 0.09208211497611647, 0.15554182938508038, 0.0019392414759953046, 0.15222836258986205, -0.1277295070817893, 0.11963687439503383, 0.133249170296075, -0.03981677377234819, 0.16856866445645546, 0.007221581716117567, 0.08495314904484103, 0.08894180077878595, -0.08514996919582046, -0.12025617674282453, -0.37424662875608333, -0.16557783419628022, -0.20664825175608537, 0.08911463951941204, -0.1413621188146209, -0.22042877028144678, 0.36070957919130625, 0.0714976462847508, 0.27298456782167685, 0.033437640722660186, 0.2504802968169933, 0.12546769963595475, 0.03137888729055774, 0.09119215129323087, 0.1530779121361404, 0.13678462216540158, 0.028366664492353363, -0.17376960623213678, 0.001077490829347262, 0.14988201207625995] |
710.1096 | Multifrequency Observations of the Blazar 3C 279 in January 2006 | We report first results of a multifrequency campaign from radio to hard X-ray
energies of the prominent gamma-ray blazar 3C 279, which was organised around
an INTEGRAL ToO observation in January 2006, and triggered on its optical
state. The variable blazar was observed at an intermediate optical state, and a
well-covered multifrequency spectrum from radio to hard X-ray energies could be
derived. The SED shows the typical two-hump shape, the signature of non-thermal
synchrotron and inverse-Compton (IC) emission from a relativistic jet. By the
significant exposure times of INTEGRAL and Chandra, the IC spectrum (0.3 - 100
keV) was most accurately measured, showing - for the first time - a possible
bending. A comparison of this 2006 SED to the one observed in 2003, also
centered on an INTEGRAL observation, during an optical low-state, reveals the
surprising fact that - despite a significant change at the high-energy
synchrotron emission (near-IR/optical/UV) - the rest of the SED remains
unchanged. In particular, the low-energy IC emission (X- and hard X-ray
energies) remains the same as in 2003, proving that the two emission components
do not vary simultaneously, and provides strong constraints on the modelling of
the overall emission of 3C 279.
| astro-ph | we report first results of a multifrequency campaign from radio to hard xray energies of the prominent gammaray blazar 3c 279 which was organised around an integral too observation in january 2006 and triggered on its optical state the variable blazar was observed at an intermediate optical state and a wellcovered multifrequency spectrum from radio to hard xray energies could be derived the sed shows the typical twohump shape the signature of nonthermal synchrotron and inversecompton ic emission from a relativistic jet by the significant exposure times of integral and chandra the ic spectrum 03 100 kev was most accurately measured showing for the first time a possible bending a comparison of this 2006 sed to the one observed in 2003 also centered on an integral observation during an optical lowstate reveals the surprising fact that despite a significant change at the highenergy synchrotron emission neariropticaluv the rest of the sed remains unchanged in particular the lowenergy ic emission x and hard xray energies remains the same as in 2003 proving that the two emission components do not vary simultaneously and provides strong constraints on the modelling of the overall emission of 3c 279 | [['we', 'report', 'first', 'results', 'of', 'a', 'multifrequency', 'campaign', 'from', 'radio', 'to', 'hard', 'xray', 'energies', 'of', 'the', 'prominent', 'gammaray', 'blazar', '3c', '279', 'which', 'was', 'organised', 'around', 'an', 'integral', 'too', 'observation', 'in', 'january', '2006', 'and', 'triggered', 'on', 'its', 'optical', 'state', 'the', 'variable', 'blazar', 'was', 'observed', 'at', 'an', 'intermediate', 'optical', 'state', 'and', 'a', 'wellcovered', 'multifrequency', 'spectrum', 'from', 'radio', 'to', 'hard', 'xray', 'energies', 'could', 'be', 'derived', 'the', 'sed', 'shows', 'the', 'typical', 'twohump', 'shape', 'the', 'signature', 'of', 'nonthermal', 'synchrotron', 'and', 'inversecompton', 'ic', 'emission', 'from', 'a', 'relativistic', 'jet', 'by', 'the', 'significant', 'exposure', 'times', 'of', 'integral', 'and', 'chandra', 'the', 'ic', 'spectrum', '03', '100', 'kev', 'was', 'most', 'accurately', 'measured', 'showing', 'for', 'the', 'first', 'time', 'a', 'possible', 'bending', 'a', 'comparison', 'of', 'this', '2006', 'sed', 'to', 'the', 'one', 'observed', 'in', '2003', 'also', 'centered', 'on', 'an', 'integral', 'observation', 'during', 'an', 'optical', 'lowstate', 'reveals', 'the', 'surprising', 'fact', 'that', 'despite', 'a', 'significant', 'change', 'at', 'the', 'highenergy', 'synchrotron', 'emission', 'neariropticaluv', 'the', 'rest', 'of', 'the', 'sed', 'remains', 'unchanged', 'in', 'particular', 'the', 'lowenergy', 'ic', 'emission', 'x', 'and', 'hard', 'xray', 'energies', 'remains', 'the', 'same', 'as', 'in', '2003', 'proving', 'that', 'the', 'two', 'emission', 'components', 'do', 'not', 'vary', 'simultaneously', 'and', 'provides', 'strong', 'constraints', 'on', 'the', 'modelling', 'of', 'the', 'overall', 'emission', 'of', '3c', '279']] | [-0.05063461900780392, 0.09474834035315981, -0.09884961056788427, 0.11846022313723698, -0.09628226460860029, -0.0907603232238268, 0.0416057820774499, 0.500553101030965, -0.21252929922760286, -0.34086506806043765, 0.05505111134837869, -0.28168280324729766, -0.005735312364126889, 0.22403269510901982, -0.006043737006272368, -0.030001100309258278, 0.06898432472838967, -0.08081069467058453, -0.010395820932088835, -0.17785696964349038, 0.2409357128054425, 0.16172894542081367, 0.24217366752542865, 0.05498311868350026, 0.09436075387213747, 0.00878703163923464, -0.058381177666548816, -0.06544727066090243, -0.04753845377858074, 0.06685132004436434, 0.2180587184745722, 0.06296942076842431, 0.17407808337032485, -0.3397739195793269, -0.2365395584447705, 0.0739146116469538, 0.13140984468036596, -0.004892627002280495, 0.012927886988325865, -0.2669368307612875, 0.005799845242848707, -0.17118891891227175, -0.16421401011636916, 0.0842778936892246, 0.05286989929492301, -0.020643108941788346, -0.17934295362334485, 0.1140462194180051, 0.02775740400264329, 0.05203299525005675, -0.17320991983490036, -0.07403244015669035, -0.026782884055005455, 0.06204512191289756, 0.0652967524820929, 0.06112894516467199, 0.1160192593275883, -0.10350852248915157, -0.1455904287370549, 0.37608275979689754, -0.024556652684104896, 0.08931795964162276, 0.20109934457384745, -0.2004434156154374, -0.23706913679124006, 0.2605887636013927, 0.12035547027610474, 0.0942442281032343, -0.14056374573201869, 0.027368492692337404, -0.04182762317504213, 0.24405882843538462, 0.03789718991261304, 0.031268579650120185, 0.2540879842386113, 0.1028235683487873, -0.014971864002328812, 0.16245422168113677, -0.25402962172360505, 0.017423467413544017, -0.3022349106022422, -0.05100884227536937, -0.19509816894409068, 0.14886943080501422, -0.0822201913985402, -0.1144622512755269, 0.42526989811886623, 0.04741128778596013, 0.19862951797679299, -0.0009570170339882143, 0.291552073298109, 0.11881796448609738, 0.013892741200702332, 0.15034837946126844, 0.37304118311109863, 0.11347286466031378, 0.15556061392592102, -0.21986442614332266, 0.06543805665901134, -0.04528622732647342] |
710.1097 | Curious Variables Experiment (CURVE). CCD Photometry of V419 Lyr in its
2006 July Superoutburst | We report extensive photometry of the dwarf nova V419 Lyr throughout its 2006
July superoutburst till quiescence. The superoutburst with amplitude of ~3.5
magnitude lasted at least 15 days and was characterized by the presence of
clear superhumps with a mean period of Psh=0.089985(58) days (129.58+-0.08
min). According to the Stolz-Schoembs relation, this indicates that the orbital
period of the binary should be around 0.086 days i.e. within the period gap.
During the superoutburst the superhump period was decreasing with the rate of
dotP/Psh=-24.8(2.2)*10^-5, which is one of the highest values ever observed in
SU UMa systems. At the end of the plateau phase, the superhump period
stabilized at a value of 0.08983(8) days. The superhump amplitude decreased
from 0.3 mag at the beginning of the superoutburst to 0.1 mag at its end. In
the case of V419 Lyr we have not observed clear secondary humps, which seems to
be typical for long period systems.
| astro-ph | we report extensive photometry of the dwarf nova v419 lyr throughout its 2006 july superoutburst till quiescence the superoutburst with amplitude of 35 magnitude lasted at least 15 days and was characterized by the presence of clear superhumps with a mean period of psh008998558 days 12958008 min according to the stolzschoembs relation this indicates that the orbital period of the binary should be around 0086 days ie within the period gap during the superoutburst the superhump period was decreasing with the rate of dotppsh24822105 which is one of the highest values ever observed in su uma systems at the end of the plateau phase the superhump period stabilized at a value of 0089838 days the superhump amplitude decreased from 03 mag at the beginning of the superoutburst to 01 mag at its end in the case of v419 lyr we have not observed clear secondary humps which seems to be typical for long period systems | [['we', 'report', 'extensive', 'photometry', 'of', 'the', 'dwarf', 'nova', 'v419', 'lyr', 'throughout', 'its', '2006', 'july', 'superoutburst', 'till', 'quiescence', 'the', 'superoutburst', 'with', 'amplitude', 'of', '35', 'magnitude', 'lasted', 'at', 'least', '15', 'days', 'and', 'was', 'characterized', 'by', 'the', 'presence', 'of', 'clear', 'superhumps', 'with', 'a', 'mean', 'period', 'of', 'psh008998558', 'days', '12958008', 'min', 'according', 'to', 'the', 'stolzschoembs', 'relation', 'this', 'indicates', 'that', 'the', 'orbital', 'period', 'of', 'the', 'binary', 'should', 'be', 'around', '0086', 'days', 'ie', 'within', 'the', 'period', 'gap', 'during', 'the', 'superoutburst', 'the', 'superhump', 'period', 'was', 'decreasing', 'with', 'the', 'rate', 'of', 'dotppsh24822105', 'which', 'is', 'one', 'of', 'the', 'highest', 'values', 'ever', 'observed', 'in', 'su', 'uma', 'systems', 'at', 'the', 'end', 'of', 'the', 'plateau', 'phase', 'the', 'superhump', 'period', 'stabilized', 'at', 'a', 'value', 'of', '0089838', 'days', 'the', 'superhump', 'amplitude', 'decreased', 'from', '03', 'mag', 'at', 'the', 'beginning', 'of', 'the', 'superoutburst', 'to', '01', 'mag', 'at', 'its', 'end', 'in', 'the', 'case', 'of', 'v419', 'lyr', 'we', 'have', 'not', 'observed', 'clear', 'secondary', 'humps', 'which', 'seems', 'to', 'be', 'typical', 'for', 'long', 'period', 'systems']] | [-0.13429945655632763, 0.1925569502520375, -0.13497785439404347, 0.007295054880281289, -0.06856895585233967, -0.1303901971100519, 0.11545861506989846, 0.3700149471809467, -0.2107125048529512, -0.35689366473505896, 0.12730621494663258, -0.3104958379858484, -0.095528725568826, 0.18890295236681898, -0.12654296570224688, -0.027452443861305558, 0.142888148217462, 0.04150071520125494, -0.09710385426102827, -0.36225264926751455, 0.18814876586198806, 0.05013596140469114, 0.1226099055663993, -0.09283883050704995, 0.03145042684550087, -0.012776789148410898, -0.02307830564949351, -0.14686526283820664, -0.13823963820803328, -0.08832712080019216, 0.22142832360385606, 0.03804081645794213, 0.23894121543193858, -0.3093578208672504, -0.15863628508523106, 0.07486129236252358, 0.1304555805462102, -0.02011837745240579, 0.056407913107735415, -0.23221655282735204, 0.10812384811850885, -0.1812905031396076, -0.18918044548792143, 0.13730014824929337, 0.21473796299037834, -0.04229372251778841, -0.19293490114311376, 0.19896503157836073, 0.020550842421750228, 0.1711411387907962, -0.16153222244077672, -0.12271638534963131, -0.07192985656438396, 0.05307700195970635, 0.11503864103772989, 0.14765227000539502, 0.004240224460760752, -0.025713359594034653, -0.10010553097973267, 0.3133059388026595, -0.1222153816310068, 0.14517184132089217, 0.14578523234774668, -0.22622765341463189, -0.08030613321190079, 0.2261814171820879, 0.12143956271834516, 0.08358027226796064, -0.11652962537482381, -0.05343033426790498, 0.07777415165522446, 0.28876417143891253, 0.12838384236441924, 0.03031513506701837, 0.3507653896945218, 0.17074768969013046, -0.018598164247038463, 0.07093646258038158, -0.2616678011813201, -0.07099967538689574, -0.2311523021167765, -0.08292919098962254, -0.1276222897755603, 0.06773811956566836, -0.08818064646785691, -0.08342147242588302, 0.4677182494445393, 0.03654227258637548, 0.21931714291373888, 0.026095193508566202, 0.20623799509058396, 0.17576488489983602, 0.0817943890375318, 0.12630641198872278, 0.37777137227356433, 0.12999504598633696, 0.24408325820540389, -0.22215529889023553, 0.1537065572136392, 0.0012760006574292979] |
710.1098 | Precise Photometry and Spectroscopy of Transits | A planetary transit produces both a photometric signal and a spectroscopic
signal. Precise observations of the transit light curve reveal the planetary
radius and allow a search for timing anomalies caused by satellites or
additional planets. Precise measurements of the stellar Doppler shift
throughout a transit (the Rossiter-McLaughlin effect) place a lower bound on
the stellar obliquity, which may be indicative of the planet's migration
history. I review recent results of the Transit Light Curve project, and of a
parallel effort to measure the Rossiter effect for many of the known transiting
planets.
| astro-ph | a planetary transit produces both a photometric signal and a spectroscopic signal precise observations of the transit light curve reveal the planetary radius and allow a search for timing anomalies caused by satellites or additional planets precise measurements of the stellar doppler shift throughout a transit the rossitermclaughlin effect place a lower bound on the stellar obliquity which may be indicative of the planets migration history i review recent results of the transit light curve project and of a parallel effort to measure the rossiter effect for many of the known transiting planets | [['a', 'planetary', 'transit', 'produces', 'both', 'a', 'photometric', 'signal', 'and', 'a', 'spectroscopic', 'signal', 'precise', 'observations', 'of', 'the', 'transit', 'light', 'curve', 'reveal', 'the', 'planetary', 'radius', 'and', 'allow', 'a', 'search', 'for', 'timing', 'anomalies', 'caused', 'by', 'satellites', 'or', 'additional', 'planets', 'precise', 'measurements', 'of', 'the', 'stellar', 'doppler', 'shift', 'throughout', 'a', 'transit', 'the', 'rossitermclaughlin', 'effect', 'place', 'a', 'lower', 'bound', 'on', 'the', 'stellar', 'obliquity', 'which', 'may', 'be', 'indicative', 'of', 'the', 'planets', 'migration', 'history', 'i', 'review', 'recent', 'results', 'of', 'the', 'transit', 'light', 'curve', 'project', 'and', 'of', 'a', 'parallel', 'effort', 'to', 'measure', 'the', 'rossiter', 'effect', 'for', 'many', 'of', 'the', 'known', 'transiting', 'planets']] | [-0.17367042726286316, 0.14756291681620223, -0.13823429035443452, 0.06215220743224465, -0.18393373611553382, -0.08726049683767781, 0.13556413540756831, 0.3096793607598351, -0.1740177297283725, -0.3749408505216081, 0.12275999522097009, -0.29117725704426084, -0.12845358730516626, 0.26062572609773405, -0.10421426604271576, 0.06222717828487837, 0.19191738934085895, -0.05998980349570673, -0.011041524329332895, -0.2722257935401817, 0.21728014635543028, 0.05798732323205269, 0.037331716868505685, 0.011267850300677682, 0.02194171311754373, -0.00602673698637274, -0.12083666317004671, -0.05348046959167527, -0.1972259841458772, 0.06710968751420257, 0.19473661852297022, 0.1658729968094317, 0.14359228144980646, -0.35823669500889316, -0.25988621600172535, 0.08118087673805133, 0.14037207247168626, 0.0675780800939788, -0.07343104187404156, -0.3100722391178371, -0.006297455169260502, -0.15055527691278728, -0.16274230861635777, 0.040305831139126135, 0.0955934717059536, 0.010222580684449083, -0.2698621466876038, 0.046344062023025046, 0.06537926705273729, 0.20776116771883862, -0.13070999644196002, -0.11316565684573625, -0.025542247199243116, 0.08343729069606672, 0.025640339991177923, 0.03235973777770195, 0.15281020529988792, -0.06055402493615064, -0.03368680756939675, 0.4120790921351922, -0.13947994939942834, -0.0007381140034125056, 0.1709327600515818, -0.2315895266540509, -0.1161522015338383, 0.15238631196239943, 0.22527875066784922, 0.10703575818408881, -0.16395106375898405, -0.03418877997413097, 0.012855935727887015, 0.21565663854601563, 0.06405368692652193, 0.07391927933060033, 0.4305156423279675, 0.1006854489565857, 0.10766250805576302, 0.015379834012629124, -0.27735606126076673, -0.016614889886270287, -0.16195643844423435, -0.13836972127851319, -0.12478692338411365, 0.0361742194772007, -0.10992203474057943, -0.1252436188890809, 0.41756303907842723, 0.1414640962098655, 0.20042444176481217, 0.03092495506373985, 0.38183274672877404, 0.08044746093907623, 0.09868742280354302, 0.034013055865803075, 0.33735240010985285, 0.14052002757076695, 0.10173084746585578, -0.30514836435516673, 0.17134256626013666, -0.031591550887672494] |
710.1099 | Multi-Line Quiet Sun Spectro-Polarimetry at 5250 and 6302 \AA | The reliability of quiet Sun magnetic field diagnostics based on the
\ion{Fe}{1} lines at 6302 \AA has been questioned by recent work. We present
here the results of a thorough study of high-resolution multi-line observations
taken with the new spectro-polarimeter SPINOR, comprising the 5250 and 6302 \AA
spectral domains. The observations were analyzed using several inversion
algorithms, including Milne-Eddington, LTE with 1 and 2 components, and MISMA
codes. We find that the line-ratio technique applied to the 5250 \AA lines is
not sufficiently reliable to provide a direct magnetic diagnostic in the
presence of thermal fluctuations and variable line broadening. In general, one
needs to resort to inversion algorithms, ideally with realistic
magneto-hydrodynamical constrains. When this is done, the 5250 \AA lines do not
seem to provide any significant advantage over those at 6302 \AA . In fact, our
results point towards a better performance with the latter (in the presence of
turbulent line broadening). In any case, for very weak flux concentrations,
neither spectral region alone provides sufficient constraints to fully
disentangle the intrinsic field strengths. Instead, we advocate for a combined
analysis of both spectral ranges, which yields a better determination of the
quiet Sun magnetic properties. Finally, we propose the use of two other
\ion{Fe}{1} lines (at 4122 and 9000 \AA) with identical line opacities that
seem to work much better than the others.
| astro-ph | the reliability of quiet sun magnetic field diagnostics based on the ionfe1 lines at 6302 aa has been questioned by recent work we present here the results of a thorough study of highresolution multiline observations taken with the new spectropolarimeter spinor comprising the 5250 and 6302 aa spectral domains the observations were analyzed using several inversion algorithms including milneeddington lte with 1 and 2 components and misma codes we find that the lineratio technique applied to the 5250 aa lines is not sufficiently reliable to provide a direct magnetic diagnostic in the presence of thermal fluctuations and variable line broadening in general one needs to resort to inversion algorithms ideally with realistic magnetohydrodynamical constrains when this is done the 5250 aa lines do not seem to provide any significant advantage over those at 6302 aa in fact our results point towards a better performance with the latter in the presence of turbulent line broadening in any case for very weak flux concentrations neither spectral region alone provides sufficient constraints to fully disentangle the intrinsic field strengths instead we advocate for a combined analysis of both spectral ranges which yields a better determination of the quiet sun magnetic properties finally we propose the use of two other ionfe1 lines at 4122 and 9000 aa with identical line opacities that seem to work much better than the others | [['the', 'reliability', 'of', 'quiet', 'sun', 'magnetic', 'field', 'diagnostics', 'based', 'on', 'the', 'ionfe1', 'lines', 'at', '6302', 'aa', 'has', 'been', 'questioned', 'by', 'recent', 'work', 'we', 'present', 'here', 'the', 'results', 'of', 'a', 'thorough', 'study', 'of', 'highresolution', 'multiline', 'observations', 'taken', 'with', 'the', 'new', 'spectropolarimeter', 'spinor', 'comprising', 'the', '5250', 'and', '6302', 'aa', 'spectral', 'domains', 'the', 'observations', 'were', 'analyzed', 'using', 'several', 'inversion', 'algorithms', 'including', 'milneeddington', 'lte', 'with', '1', 'and', '2', 'components', 'and', 'misma', 'codes', 'we', 'find', 'that', 'the', 'lineratio', 'technique', 'applied', 'to', 'the', '5250', 'aa', 'lines', 'is', 'not', 'sufficiently', 'reliable', 'to', 'provide', 'a', 'direct', 'magnetic', 'diagnostic', 'in', 'the', 'presence', 'of', 'thermal', 'fluctuations', 'and', 'variable', 'line', 'broadening', 'in', 'general', 'one', 'needs', 'to', 'resort', 'to', 'inversion', 'algorithms', 'ideally', 'with', 'realistic', 'magnetohydrodynamical', 'constrains', 'when', 'this', 'is', 'done', 'the', '5250', 'aa', 'lines', 'do', 'not', 'seem', 'to', 'provide', 'any', 'significant', 'advantage', 'over', 'those', 'at', '6302', 'aa', 'in', 'fact', 'our', 'results', 'point', 'towards', 'a', 'better', 'performance', 'with', 'the', 'latter', 'in', 'the', 'presence', 'of', 'turbulent', 'line', 'broadening', 'in', 'any', 'case', 'for', 'very', 'weak', 'flux', 'concentrations', 'neither', 'spectral', 'region', 'alone', 'provides', 'sufficient', 'constraints', 'to', 'fully', 'disentangle', 'the', 'intrinsic', 'field', 'strengths', 'instead', 'we', 'advocate', 'for', 'a', 'combined', 'analysis', 'of', 'both', 'spectral', 'ranges', 'which', 'yields', 'a', 'better', 'determination', 'of', 'the', 'quiet', 'sun', 'magnetic', 'properties', 'finally', 'we', 'propose', 'the', 'use', 'of', 'two', 'other', 'ionfe1', 'lines', 'at', '4122', 'and', '9000', 'aa', 'with', 'identical', 'line', 'opacities', 'that', 'seem', 'to', 'work', 'much', 'better', 'than', 'the', 'others']] | [-0.0648908696561821, 0.052203099755364246, -0.04181905733011931, 0.06567570311480936, -0.06557220388286278, -0.15249950247734323, 0.020518403901075698, 0.4665094838205692, -0.15636258719456012, -0.3305820607563761, 0.0714897941339522, -0.23349821561766146, -0.038842785282398415, 0.176209828116317, -0.006179715090369009, -0.017066151006724192, 0.08023273506803455, -0.0494399260319007, -0.07308416239609757, -0.1888424693096833, 0.2890658857933435, 0.09664205839420643, 0.2615431790400824, 0.049548819005016474, -0.010076115613564255, -0.041110308463808844, -0.05633104909613185, 0.05674890549369239, -0.14985175390628144, 0.09584576386414402, 0.22082913028739756, 0.11156059546701083, 0.2285987058930109, -0.4041167981434558, -0.25416827105414286, 0.06805549943675411, 0.17601851831536444, 0.08107345546049734, -0.0034327572044533725, -0.24359682821297804, 0.09100085361840088, -0.08339131993975128, -0.12779782207958829, -0.032342794878754466, 0.010206956005309074, 0.006299496969863344, -0.3014081886462637, 0.03349952949458255, 0.03279267323195143, 0.1722553579107883, -0.06465476779555655, -0.13541033918880735, -0.028038981735327206, 0.10531931877122322, 0.0015383725367750214, 0.03900445107292318, 0.10559444515852555, -0.09281437633769274, -0.07003816893011068, 0.3904777748955298, -0.11520816749421543, -0.08303415029004743, 0.21139990184476715, -0.17034537768490052, -0.17033797622641828, 0.1953990708321098, 0.11106592017242405, 0.1167218390093968, -0.114274887276715, 0.013542392105430744, -0.04189099605345637, 0.1977087228011136, 0.00232766811381531, 0.04339769262685523, 0.21756619464016758, 0.06723863832998724, 0.01613329263762401, 0.08869740277641057, -0.2136834252005509, -0.03730276757768825, -0.2517116437913372, -0.12705969159796307, -0.1038311060571598, 0.05916795283443948, -0.06709812164665416, -0.14467733606863026, 0.3830190145583675, 0.1989320455061321, 0.21682005556376518, -0.005497527674234068, 0.30677461302303505, 0.08421797182465557, 0.07984237937077435, 0.08550558802960194, 0.285921615323843, 0.17556079524359047, 0.18034925470612861, -0.21307063033491108, 0.0266032169384478, 0.02984890436333299] |
710.11 | $R$-Parity in Supersymmetric Left-Right Models | On this article we show explicity that Supersymmetric Left-Right Models
already satisfy the R-parity. They also respect $L$-parity and $B$-parity.
| hep-ph | on this article we show explicity that supersymmetric leftright models already satisfy the rparity they also respect lparity and bparity | [['on', 'this', 'article', 'we', 'show', 'explicity', 'that', 'supersymmetric', 'leftright', 'models', 'already', 'satisfy', 'the', 'rparity', 'they', 'also', 'respect', 'lparity', 'and', 'bparity']] | [-0.04726408468559384, 0.13702962826937437, -0.0300244902803873, 0.2309882723299476, -0.0991747769423657, -0.17638564409895074, -0.04932971900133351, 0.41371608815259403, -0.1922704523636235, -0.23200713655872582, 0.1327815739205107, -0.26527811648945016, -0.1934395618736744, 0.127129503318833, -0.12261085419191255, 0.03501252685156134, 0.07489658654150036, 0.04217982923405038, -0.07991627936846474, -0.27540118537015384, 0.3103013282848729, -0.010723909984032312, 0.20899667135543293, 0.06033247812754578, 0.07534602558654216, -0.07202768562840195, 0.008770783483568165, -0.012148810861011347, -0.19777180048994422, 0.13784649906059107, 0.14223542148122054, 0.1093273206994733, 0.024482523401578266, -0.42868407401773667, -0.12116893696495229, 0.27594728250470424, 0.1868955489868919, 0.10284827566809124, -0.06611440090798876, -0.29107535418329966, 0.13006546296593216, -0.32104233075450694, -0.05363730129061474, -0.1177400021503369, -0.07049516826454136, -0.07581547345034778, -0.2544855591841042, 0.041241383838092185, 0.09716447049544917, -0.015489861162172424, -0.021781234484579828, -0.089528188872565, -0.10043250769376755, -0.07240253624816735, 0.20731659016261497, -0.0458651814971947, 0.06247081324302902, -0.13311446187759024, -0.16190383666091496, 0.39898164032234085, -0.028949713024000328, -0.29790457151830196, 0.21839128388091922, -0.11895294026989076, -0.3146143907474147, -0.021412276921586856, 0.1741037358943787, 0.11227377038449049, -0.14472674138637054, 0.2765803179257394, -0.19382958621200588, 0.16989940487676197, 0.1036062752828002, 0.06553967651497158, 0.23478211876418856, 0.10011976657228337, 0.12360911935360895, 0.06493728297452132, 0.07220436897801442, -0.11545721149175531, -0.5397130052248637, -0.1509212332829419, -0.06355392158083203, -0.021518381105528936, -0.013318072305183806, -0.07130313576716515, 0.42081657817794216, 0.22698078935758936, 0.1794687249801225, 0.1920579105305175, 0.19414035003218386, 0.06609958813836177, 0.10135887684817943, 0.01894998053709666, 0.25070626692225534, 0.07825983346750338, 0.11377582805127734, -0.22644116098268163, -0.030494286057849724, 0.07418380387955242] |
710.1101 | Deuteron spin structure functions in the resonance and DIS regions | We derive relations between spin-dependent nuclear and nucleon g_1 and g_2
structure functions within the nuclear impulse approximation, which are valid
at all Q^2, and in both the resonance and deep inelastic regions. We apply the
formalism to the specific case of the deuteron, which is often used as a source
of neutron structure information, and compare the size of the nuclear
corrections calculated using exact kinematics and using approximations
applicable at large Q^2.
| nucl-th hep-ph nucl-ex | we derive relations between spindependent nuclear and nucleon g_1 and g_2 structure functions within the nuclear impulse approximation which are valid at all q2 and in both the resonance and deep inelastic regions we apply the formalism to the specific case of the deuteron which is often used as a source of neutron structure information and compare the size of the nuclear corrections calculated using exact kinematics and using approximations applicable at large q2 | [['we', 'derive', 'relations', 'between', 'spindependent', 'nuclear', 'and', 'nucleon', 'g_1', 'and', 'g_2', 'structure', 'functions', 'within', 'the', 'nuclear', 'impulse', 'approximation', 'which', 'are', 'valid', 'at', 'all', 'q2', 'and', 'in', 'both', 'the', 'resonance', 'and', 'deep', 'inelastic', 'regions', 'we', 'apply', 'the', 'formalism', 'to', 'the', 'specific', 'case', 'of', 'the', 'deuteron', 'which', 'is', 'often', 'used', 'as', 'a', 'source', 'of', 'neutron', 'structure', 'information', 'and', 'compare', 'the', 'size', 'of', 'the', 'nuclear', 'corrections', 'calculated', 'using', 'exact', 'kinematics', 'and', 'using', 'approximations', 'applicable', 'at', 'large', 'q2']] | [-0.020020603529504827, 0.10105198639369495, -0.08796519700538467, 0.19169572518817526, -0.03887932689080166, -0.055694898760348964, 0.03313722536974662, 0.39107317527806434, -0.2163837061081132, -0.2636332218472317, 0.03451632858549773, -0.27869219251128063, -0.0543275055903438, 0.17571799408933902, 0.10186155439618774, 0.04221462326854266, 0.003327158695036495, 0.06172112782007536, -0.12754526807347666, -0.14408206815887997, 0.3650629265277923, 0.029346057462012017, 0.22212578258099588, 0.12582570040044752, 0.10817522961470122, 0.08671505062689853, -0.009563991906926842, -0.013360234128462302, -0.15162498649914521, 0.09901380049366806, 0.30040198221576175, 0.05509729346109403, 0.13196750889481926, -0.44971647246967295, -0.13043599126457767, 0.05143910945421462, 0.1272060040925705, 0.12282158727317143, -0.007691048714961554, -0.23500247519916376, 0.03896150266676134, -0.21718481203188766, -0.12109298836691557, -0.1579015741779192, -0.0001069122604472009, 0.06643862387391965, -0.30642177525284775, 0.106033826092686, -0.003878950065857655, -0.00216934405820998, -0.09234049616104646, -0.19882167683838792, 0.010792871377103636, 0.14838515695914425, 0.012113190227741929, 0.07050300212545521, 0.1491299420595169, -0.17541530697191185, -0.050341851965247375, 0.38672534781634005, -0.016231531966351777, -0.18700245959130493, 0.11887590836330846, -0.2380940259585308, -0.12135275520661191, 0.1240982147109871, 0.20426929254412046, 0.15705577358037132, -0.1900495791861259, 0.11501781918844711, -0.01683599390152439, 0.1582934033169688, 0.09114742462485526, 0.052903373872018045, 0.13517041542139407, 0.1563733893295599, -0.04389485932030791, 0.0948786503522078, -0.1620087529771735, -0.09341001627035439, -0.3405578016945337, -0.007418434272138355, -0.14461067628675467, 0.039580638331637996, -0.10560165573347272, -0.09394687109601658, 0.3528770162421908, 0.06474724783569204, 0.20232064101366778, 0.01915283003079428, 0.3150058238439866, 0.10920442431705778, 0.11545343869491606, 0.1241623158000309, 0.2509993518815955, 0.24625710666343267, 0.05140349382811503, -0.26752025164298815, 0.03607582809353197, 0.028780220636493853] |
710.1102 | Multiplicative Conservation of Baryon Number and Baryogenesis | In the canonical seesaw mechanism of neutrino mass, lepton number is only
multiplicatively conserved, which enables the important phenomenon of
leptogenesis to occur, as an attractive explanation of the present baryon
asymmetry of the Universe. A parallel possibility, hitherto unrecognized, also
holds for baryon number and baryogenesis. This new idea is shown to be
naturally realized in the context of a known supersymmetric string-inspired
extension of the Standard Model, based on E(6) particle content, and having an
extra U(1)_N gauge symmetry. Within this framework, two-loop radiative neutrino
masses are also possible, together with a new form of very long-lived matter.
| hep-ph | in the canonical seesaw mechanism of neutrino mass lepton number is only multiplicatively conserved which enables the important phenomenon of leptogenesis to occur as an attractive explanation of the present baryon asymmetry of the universe a parallel possibility hitherto unrecognized also holds for baryon number and baryogenesis this new idea is shown to be naturally realized in the context of a known supersymmetric stringinspired extension of the standard model based on e6 particle content and having an extra u1_n gauge symmetry within this framework twoloop radiative neutrino masses are also possible together with a new form of very longlived matter | [['in', 'the', 'canonical', 'seesaw', 'mechanism', 'of', 'neutrino', 'mass', 'lepton', 'number', 'is', 'only', 'multiplicatively', 'conserved', 'which', 'enables', 'the', 'important', 'phenomenon', 'of', 'leptogenesis', 'to', 'occur', 'as', 'an', 'attractive', 'explanation', 'of', 'the', 'present', 'baryon', 'asymmetry', 'of', 'the', 'universe', 'a', 'parallel', 'possibility', 'hitherto', 'unrecognized', 'also', 'holds', 'for', 'baryon', 'number', 'and', 'baryogenesis', 'this', 'new', 'idea', 'is', 'shown', 'to', 'be', 'naturally', 'realized', 'in', 'the', 'context', 'of', 'a', 'known', 'supersymmetric', 'stringinspired', 'extension', 'of', 'the', 'standard', 'model', 'based', 'on', 'e6', 'particle', 'content', 'and', 'having', 'an', 'extra', 'u1_n', 'gauge', 'symmetry', 'within', 'this', 'framework', 'twoloop', 'radiative', 'neutrino', 'masses', 'are', 'also', 'possible', 'together', 'with', 'a', 'new', 'form', 'of', 'very', 'longlived', 'matter']] | [-0.11373958073440008, 0.2388129770688829, -0.0416378540545702, 0.18739310074597598, -0.1368567699752748, -0.16805368838366122, 0.028882097601890564, 0.2899983011116274, -0.20318910935893655, -0.3226345597149339, 0.010491120838560164, -0.20026662619318814, -0.08868041966110468, 0.13622327451012098, -0.007547073075547814, -0.0007210757781285792, -0.028458397320937367, 0.03781308422796428, -0.00976321441179607, -0.23825734560377895, 0.31544948152266444, 0.06290243840456242, 0.2188872693432495, 0.0715783400903456, 0.11059984546387568, -0.08872597018140368, -0.03487122309859842, -0.07610227902885526, -0.06744931204710156, 0.0757298415043624, 0.1622529502119869, 0.11068867097608745, 0.14197286702692508, -0.40230838759802284, -0.20874051557853818, 0.1963657600909937, 0.2085559184802696, 0.15773407681728713, -0.16094765060930513, -0.25744105433113873, 0.05249981410088367, -0.25633231999352574, -0.15989900270593352, -0.08294132873881609, -0.021377936052158476, -0.1274149191658944, -0.3181076880544424, 0.11339091139321682, -0.011885077524930239, -0.01552850402891636, -0.0014246110268868505, -0.12052354328101501, -0.03339305704459548, -0.011655151722952723, 0.1625480762019288, -0.008436258002184331, 0.10623404213343747, -0.15215410136152058, -0.13528182701673358, 0.4545713485404849, -0.05266789493151009, -0.14502100159224937, 0.1365493674692698, -0.11019327934831381, -0.19099381191190332, 0.10722674587275832, 0.1329061164148152, 0.1034737081406638, -0.2065177037520334, 0.17029272284707986, -0.11350549409165979, 0.12966984763741493, 0.03598417544504628, 0.06828383926767856, 0.3127413716353476, 0.22811162281781436, 0.054093099189922215, 0.03984559457632713, -0.03865507535869256, -0.0858405071735615, -0.4300346863642335, -0.15507748133968563, -0.12142271056771278, 0.06153848617337644, -0.09354958580312087, -0.14882616320712258, 0.4128633918310516, 0.1372579249832779, 0.22597743840888143, 0.005675845333607868, 0.28044238744303585, 0.050365962659707296, 0.1325301871262491, 0.004519258118234575, 0.24956016728188843, 0.1759230737015605, 0.08895141645334662, -0.2517784242169, -0.024434461472555995, 0.11162792964838446] |
710.1103 | The Newton polygon of a rational plane curve | The Newton polygon of the implicit equation of a rational plane curve is
explicitly determined by the multiplicities of any of its parametrizations. We
give an intersection-theoretical proof of this fact based on a refinement of
the Kushnirenko-Bernstein theorem. We apply this result to the determination of
the Newton polygon of a curve parameterized by generic Laurent polynomials or
by generic rational functions, with explicit genericity conditions. We also
show that the variety of rational curves with given Newton polygon is
unirational and we compute its dimension. As a consequence, we obtain that any
convex lattice polygon with positive area is the Newton polygon of a rational
plane curve.
| math.AG math.CO | the newton polygon of the implicit equation of a rational plane curve is explicitly determined by the multiplicities of any of its parametrizations we give an intersectiontheoretical proof of this fact based on a refinement of the kushnirenkobernstein theorem we apply this result to the determination of the newton polygon of a curve parameterized by generic laurent polynomials or by generic rational functions with explicit genericity conditions we also show that the variety of rational curves with given newton polygon is unirational and we compute its dimension as a consequence we obtain that any convex lattice polygon with positive area is the newton polygon of a rational plane curve | [['the', 'newton', 'polygon', 'of', 'the', 'implicit', 'equation', 'of', 'a', 'rational', 'plane', 'curve', 'is', 'explicitly', 'determined', 'by', 'the', 'multiplicities', 'of', 'any', 'of', 'its', 'parametrizations', 'we', 'give', 'an', 'intersectiontheoretical', 'proof', 'of', 'this', 'fact', 'based', 'on', 'a', 'refinement', 'of', 'the', 'kushnirenkobernstein', 'theorem', 'we', 'apply', 'this', 'result', 'to', 'the', 'determination', 'of', 'the', 'newton', 'polygon', 'of', 'a', 'curve', 'parameterized', 'by', 'generic', 'laurent', 'polynomials', 'or', 'by', 'generic', 'rational', 'functions', 'with', 'explicit', 'genericity', 'conditions', 'we', 'also', 'show', 'that', 'the', 'variety', 'of', 'rational', 'curves', 'with', 'given', 'newton', 'polygon', 'is', 'unirational', 'and', 'we', 'compute', 'its', 'dimension', 'as', 'a', 'consequence', 'we', 'obtain', 'that', 'any', 'convex', 'lattice', 'polygon', 'with', 'positive', 'area', 'is', 'the', 'newton', 'polygon', 'of', 'a', 'rational', 'plane', 'curve']] | [-0.1798013375253878, 0.001012762908515886, -0.17506851596218126, 0.019438515548925048, -0.13780997652847704, -0.15313613870851348, 0.06537021324038506, 0.29928987865797546, -0.3157131953391238, -0.20090346059666198, 0.09983592784624094, -0.22305373815932772, -0.20038335896793438, 0.23294095586545802, -0.1417582322120945, 0.01942263964768151, 0.052307799741382076, 0.03917263672365067, -0.10561787069418302, -0.3373591887686297, 0.3894995604511176, -0.03550611859814168, 0.15260582062563746, 0.08037840958388749, 0.17994939197707815, 0.06449508451678242, 0.020102263728557068, 0.029764625634432326, -0.1901613327106907, 0.1573661044229118, 0.23269091400309144, 0.1393509295738572, 0.1612946663843903, -0.3784602717365895, -0.12581486267007225, 0.20397716213592162, 0.109238181328488, 0.058049030545402634, -0.022794590004127924, -0.16039984600148469, 0.07576206931409156, -0.09428103162828728, -0.28656266606630426, -0.09180664198003083, 0.0320116679149323, 0.09022521278081096, -0.23932166405840316, -0.03397822299363988, 0.10279842234808499, 0.16095614298377361, -0.04453423193429606, -0.10313341937628444, -0.014513444190270433, 0.02665400705365551, -0.0071509082858215705, 0.1028037740768447, 0.06311438908521956, -0.09683556329441544, -0.10243129141892036, 0.3939815824459716, -0.03091930796361798, -0.2384326500177849, 0.09769604348351256, -0.16091014057067093, -0.11300492133492622, 0.14732423050450943, 0.11886267859279831, 0.1846846549240785, -0.05786891822555216, 0.1595318881162686, -0.1335708931018816, 0.10039784970734635, 0.11491472968640172, -0.0992505741001011, 0.1696637938686899, 0.036173056880725876, 0.08391539156698039, 0.17922341679201123, -0.029911293763510673, -0.06539912923091204, -0.37944255177384223, -0.15623286388657778, -0.21003996225500426, 0.061851550916331675, -0.19930326370682858, -0.22512134394356023, 0.40907004154417836, 0.00587001032082834, 0.2516128569145069, 0.13478187889852952, 0.2857734755412719, 0.16962598769372833, 0.021524646501959885, 0.06329228360832573, 0.1637554177927358, 0.10087047181109611, -0.00014826054380179566, -0.19835164218218387, 0.028393347077419823, 0.23220124405538925] |
710.1104 | Smooth Volume Rigidity for Manifolds with Negatively Curved Targets | We establish conditions for a continuous map of nonzero degree between a
smooth closed manifold and a negatively curved manifold of dimension greater
than four to be homotopic to a smooth cover, and in particular a diffeomorphism
when the degree is one. The conditions hold when the volumes or entropy-volumes
of the two manifolds differ by less than a uniform constant after an
appropriate normalization of the metrics. The results are qualitatively sharp
in the sense that the dependencies are necessary. We give a number of
corollaries.
| math.DG math.GT | we establish conditions for a continuous map of nonzero degree between a smooth closed manifold and a negatively curved manifold of dimension greater than four to be homotopic to a smooth cover and in particular a diffeomorphism when the degree is one the conditions hold when the volumes or entropyvolumes of the two manifolds differ by less than a uniform constant after an appropriate normalization of the metrics the results are qualitatively sharp in the sense that the dependencies are necessary we give a number of corollaries | [['we', 'establish', 'conditions', 'for', 'a', 'continuous', 'map', 'of', 'nonzero', 'degree', 'between', 'a', 'smooth', 'closed', 'manifold', 'and', 'a', 'negatively', 'curved', 'manifold', 'of', 'dimension', 'greater', 'than', 'four', 'to', 'be', 'homotopic', 'to', 'a', 'smooth', 'cover', 'and', 'in', 'particular', 'a', 'diffeomorphism', 'when', 'the', 'degree', 'is', 'one', 'the', 'conditions', 'hold', 'when', 'the', 'volumes', 'or', 'entropyvolumes', 'of', 'the', 'two', 'manifolds', 'differ', 'by', 'less', 'than', 'a', 'uniform', 'constant', 'after', 'an', 'appropriate', 'normalization', 'of', 'the', 'metrics', 'the', 'results', 'are', 'qualitatively', 'sharp', 'in', 'the', 'sense', 'that', 'the', 'dependencies', 'are', 'necessary', 'we', 'give', 'a', 'number', 'of', 'corollaries']] | [-0.1461776501829411, 0.1281289928499677, -0.07296623038886071, 0.09430742429076629, -0.05130274236462144, -0.16349143106598668, -0.010398370706541248, 0.37656039402408653, -0.23157521343768336, -0.2520730316904265, 0.11880506661471499, -0.244545774545174, -0.1357913296534355, 0.226037718476132, -0.11547458920151342, -0.011962824142375572, 0.06402486160960655, 0.10052210714148227, -0.12181940586793474, -0.2848779340058045, 0.4108151854882233, -0.03710891089813654, 0.23686883248778623, 0.08688083032774198, 0.11918516008746485, -0.04901397685238788, 0.025043966616828773, 0.08408790702801631, -0.16032667632993422, 0.1235573083855385, 0.1964524044319554, 0.08002879311666326, 0.24986661798429005, -0.39836615756110744, -0.19852471567668714, 0.16296831474011375, 0.07184868443995542, 0.06163469741532449, 0.005038898492361917, -0.2434305331214916, 0.12827025588363583, -0.06863891653652941, -0.18011087962686148, -0.05734411351989175, 0.029354094657613787, 0.01643140957322578, -0.2893171245354054, 0.04706654393352395, 0.1170658098836971, 0.09268295246739547, -0.0628489247025099, -0.06725141673273038, -0.04315241456551607, 0.15860918578948976, 0.029185481231421406, 0.06817126147541065, 0.08178445708743015, -0.11970788515700828, -0.06866120791934474, 0.35526080840527147, -0.07960079006781683, -0.2990181234470287, 0.17489606415823122, -0.16354564405696162, -0.12456711725505112, 0.14865831999368098, 0.11759447453673495, 0.15654412965658446, -0.0917599422083545, 0.08652785948753833, -0.048081495883051564, 0.1381572380683623, 0.11391052789986134, 0.011685221374771276, 0.12372584264119003, 0.09027735837247916, 0.1867527468671459, 0.12332827235209258, -0.013757920753600638, -0.06228813851457955, -0.3412047152429126, -0.1927938246233172, -0.1366430176422, 0.11863515767550399, -0.16659652946894543, -0.16889437804605031, 0.4003737548929314, 0.043610681454802666, 0.2781316516054578, 0.10076083655490778, 0.2594509584785894, 0.0731428082230999, 0.03002695656695598, 0.0967849936352523, 0.19050003614190014, 0.14366929649191282, 0.017347203383525443, -0.11015896364873232, 0.02844415631600071, 0.06541044374137338] |
710.1105 | Fractal and Multifractal Scaling of Electrical Conduction in Random
Resistor Networks | This article is a mini-review about electrical current flows in networks from
the perspective of statistical physics. We briefly discuss analytical methods
to solve the conductance of an arbitrary resistor network. We then turn to
basic results related to percolation: namely, the conduction properties of a
large random resistor network as the fraction of resistors is varied. We focus
on how the conductance of such a network vanishes as the percolation threshold
is approached from above. We also discuss the more microscopic current
distribution within each resistor of a large network. At the percolation
threshold, this distribution is multifractal in that all moments of this
distribution have independent scaling properties. We will discuss the meaning
of multifractal scaling and its implications for current flows in networks,
especially the largest current in the network. Finally, we discuss the relation
between resistor networks and random walks and show how the classic phenomena
of recurrence and transience of random walks are simply related to the
conductance of a corresponding electrical network.
| cond-mat.stat-mech cond-mat.dis-nn physics.class-ph | this article is a minireview about electrical current flows in networks from the perspective of statistical physics we briefly discuss analytical methods to solve the conductance of an arbitrary resistor network we then turn to basic results related to percolation namely the conduction properties of a large random resistor network as the fraction of resistors is varied we focus on how the conductance of such a network vanishes as the percolation threshold is approached from above we also discuss the more microscopic current distribution within each resistor of a large network at the percolation threshold this distribution is multifractal in that all moments of this distribution have independent scaling properties we will discuss the meaning of multifractal scaling and its implications for current flows in networks especially the largest current in the network finally we discuss the relation between resistor networks and random walks and show how the classic phenomena of recurrence and transience of random walks are simply related to the conductance of a corresponding electrical network | [['this', 'article', 'is', 'a', 'minireview', 'about', 'electrical', 'current', 'flows', 'in', 'networks', 'from', 'the', 'perspective', 'of', 'statistical', 'physics', 'we', 'briefly', 'discuss', 'analytical', 'methods', 'to', 'solve', 'the', 'conductance', 'of', 'an', 'arbitrary', 'resistor', 'network', 'we', 'then', 'turn', 'to', 'basic', 'results', 'related', 'to', 'percolation', 'namely', 'the', 'conduction', 'properties', 'of', 'a', 'large', 'random', 'resistor', 'network', 'as', 'the', 'fraction', 'of', 'resistors', 'is', 'varied', 'we', 'focus', 'on', 'how', 'the', 'conductance', 'of', 'such', 'a', 'network', 'vanishes', 'as', 'the', 'percolation', 'threshold', 'is', 'approached', 'from', 'above', 'we', 'also', 'discuss', 'the', 'more', 'microscopic', 'current', 'distribution', 'within', 'each', 'resistor', 'of', 'a', 'large', 'network', 'at', 'the', 'percolation', 'threshold', 'this', 'distribution', 'is', 'multifractal', 'in', 'that', 'all', 'moments', 'of', 'this', 'distribution', 'have', 'independent', 'scaling', 'properties', 'we', 'will', 'discuss', 'the', 'meaning', 'of', 'multifractal', 'scaling', 'and', 'its', 'implications', 'for', 'current', 'flows', 'in', 'networks', 'especially', 'the', 'largest', 'current', 'in', 'the', 'network', 'finally', 'we', 'discuss', 'the', 'relation', 'between', 'resistor', 'networks', 'and', 'random', 'walks', 'and', 'show', 'how', 'the', 'classic', 'phenomena', 'of', 'recurrence', 'and', 'transience', 'of', 'random', 'walks', 'are', 'simply', 'related', 'to', 'the', 'conductance', 'of', 'a', 'corresponding', 'electrical', 'network']] | [-0.13931384648354392, 0.13546420510456733, -0.060227711797259484, 0.05522614820663529, -0.03809448550704734, -0.1279992167727046, 0.08257078214470918, 0.3745434953986357, -0.3015308961372024, -0.22676375058758172, 0.09228856764994339, -0.303313683958203, -0.23031637124395707, 0.18465139506761694, -0.04581328429048881, 0.06526726784700475, 0.0022340017326530955, 0.0547792229779242, -0.04179476211374138, -0.2122689319685811, 0.3351044686721815, 0.043591511136453064, 0.312610179766558, 0.11182944982733932, 0.05810223980474153, -0.029901280141313605, -0.009157493497089794, 0.08139751038245213, -0.14477731479387113, 0.08474301698151976, 0.20224119452731906, 0.07145627440743174, 0.24189932215293602, -0.4475868484781434, -0.21429336490109563, 0.09987930105056703, 0.12512163104145743, 0.12069901708742864, 0.034110537929986355, -0.24734178965999967, 0.10040022282572907, -0.1578348634849092, -0.09241707322559835, -0.02448855062747108, 0.03008681769660186, 0.08879114854304741, -0.20906908592275744, 0.08024537824409587, 0.0699742849683389, 0.0380541670601815, 0.0025497631049802294, -0.11730509863229513, 0.011742153911784823, 0.16585232333385475, 0.016998028986909913, -0.025599510860740252, 0.17566828537521706, -0.18237215415276642, -0.15061461786085384, 0.3493935790057072, -0.02982528790051306, -0.1597486990836582, 0.1542928653458754, -0.1538867332412684, -0.16941326009830282, 0.04205748011424605, 0.19764165245440035, 0.04491990963773181, -0.18216519505118153, 0.03410211503034502, -0.05146058939308638, 0.11676277841685251, 0.014189706975316983, 0.008346137826308785, 0.19696391467005014, 0.23947939284456274, 0.08438531767405082, 0.1850404875682822, -0.09129875583624068, -0.10095828120496922, -0.2964732217161717, -0.12052441297453784, -0.2179603543904488, 0.11670412046147421, -0.14593202624590568, -0.20424339647815076, 0.4524514557838085, 0.2413546247795845, 0.24705836925810823, 0.1057560410741384, 0.2530597691379842, 0.1348407356951308, 0.013429589973211045, 0.08344361947993525, 0.1881214653563109, 0.19796109259394662, 0.16165011928907397, -0.18223713951495787, 0.08448586900651987, 0.03941969488680895] |
710.1106 | The phase structure of a chirally invariant lattice Higgs-Yukawa model | We consider a chirally invariant lattice Higgs-Yukawa model based on the
Neuberger overlap operator. As a first step towards the eventual determination
of Higgs mass bounds we present the phase structure of the model analytically
in the large Nf-limit in the physically interesting region of the Yukawa
coupling constant. We confront the analytically obtained phase diagram with
corresponding HMC-simulations and find an excellent agreement at large values
of Nf. In the opposite case the large Nf computation still gives a good
qualitative description of the phase diagram. We also present first and very
preliminary results on the Higgs upper bound at one selected cut-off of the
theory.
| hep-lat | we consider a chirally invariant lattice higgsyukawa model based on the neuberger overlap operator as a first step towards the eventual determination of higgs mass bounds we present the phase structure of the model analytically in the large nflimit in the physically interesting region of the yukawa coupling constant we confront the analytically obtained phase diagram with corresponding hmcsimulations and find an excellent agreement at large values of nf in the opposite case the large nf computation still gives a good qualitative description of the phase diagram we also present first and very preliminary results on the higgs upper bound at one selected cutoff of the theory | [['we', 'consider', 'a', 'chirally', 'invariant', 'lattice', 'higgsyukawa', 'model', 'based', 'on', 'the', 'neuberger', 'overlap', 'operator', 'as', 'a', 'first', 'step', 'towards', 'the', 'eventual', 'determination', 'of', 'higgs', 'mass', 'bounds', 'we', 'present', 'the', 'phase', 'structure', 'of', 'the', 'model', 'analytically', 'in', 'the', 'large', 'nflimit', 'in', 'the', 'physically', 'interesting', 'region', 'of', 'the', 'yukawa', 'coupling', 'constant', 'we', 'confront', 'the', 'analytically', 'obtained', 'phase', 'diagram', 'with', 'corresponding', 'hmcsimulations', 'and', 'find', 'an', 'excellent', 'agreement', 'at', 'large', 'values', 'of', 'nf', 'in', 'the', 'opposite', 'case', 'the', 'large', 'nf', 'computation', 'still', 'gives', 'a', 'good', 'qualitative', 'description', 'of', 'the', 'phase', 'diagram', 'we', 'also', 'present', 'first', 'and', 'very', 'preliminary', 'results', 'on', 'the', 'higgs', 'upper', 'bound', 'at', 'one', 'selected', 'cutoff', 'of', 'the', 'theory']] | [-0.14885168193972537, 0.13729297049091352, -0.08593954693614728, 0.08488949739507266, -0.02811130504789097, -0.1250111918674693, 0.11198643620591611, 0.34447359335387034, -0.16195707071483845, -0.3044519386830784, 0.06996509052835227, -0.2540207634790845, -0.12721333289075465, 0.14250201452079983, 0.031826335842041385, 0.046572820632857094, 0.06515524235687085, 0.04967937528466185, -0.11197161540122968, -0.19710749953630424, 0.3056641621470806, 0.04579490017411964, 0.25878485915738914, 0.10347831020397799, 0.05979927223885343, -0.007641321380755731, -0.010391617087381226, -0.022323706608620427, -0.21073071427027962, 0.08657327772705771, 0.17543360971890035, 0.0017484761064960842, 0.16923595141575096, -0.3578171242738054, -0.12413150604725594, 0.07946489414732372, 0.15609524433634112, 0.1399440074073417, -0.07388562353638312, -0.27721953052983045, 0.049765448487319404, -0.16977358219169436, -0.1818297474512032, -0.06674184112676552, -0.02502808812118712, -0.06784265662676521, -0.28596791925097237, 0.07232742527516425, -0.03441615505587487, 0.04336845381379438, -0.0489522435924127, -0.15585032080610592, -0.012733389818597408, 0.12364147583111411, 0.06435401895037753, 0.051688053475559825, 0.0461197814948502, -0.19434575014082447, -0.07923824221694044, 0.38014114610850813, -0.13161387545544476, -0.15389946116844103, 0.1501191708414505, -0.18696593553093926, -0.1813824088223988, 0.11495161052083686, 0.14512512404915123, 0.09924001467103759, -0.09637712588855288, 0.132184627092266, -0.0915494457641173, 0.16557065859614384, 0.012412491272247974, 0.021246701841993766, 0.22622652448536384, 0.19198596009186336, 0.060426993220157564, 0.16040256191266788, -0.044934379065498, -0.1445094684138894, -0.3926459733219374, -0.09075126357964196, -0.14800661084286515, 0.0008311232551932335, -0.1524182801553425, -0.16683921687016706, 0.39356131314166953, 0.1504851676878475, 0.27029715955612205, 0.06823947373555884, 0.2727955707659324, 0.13117591828174358, 0.025484611113954867, 0.02864162866913137, 0.30351980584008353, 0.14186689108610154, 0.10930746148916937, -0.25714338315384727, -0.00597797656165702, 0.11124069269835239] |
710.1107 | On the Long Time Behavior of Second Order Differential Equations with
Asymptotically Small Dissipation | We investigate the time-asymptotic properties of solutions of the
differential equation x''(t) + a(t)x'(t) + g(x(t)) = 0 in a Hilbert space,
where a(.) is non-increasing and g is the gradient of a potential G. If the
coefficient a(.) is constant and positive, we recover the so-called ``Heavy
Ball with Friction'' system. On the other hand, when a(t)=1/(t+1) we obtain the
trajectories associated to some averaged gradient system.
Our analysis is mainly based on the existence of some suitable energy
function. When the potential G is convex and the coeffient a is non-integrable
at infinity, the energy function converges to its minimum. A more stringent
condition is required to obtain the convergence of the trajectories of toward
some minimum point of the potential. In the one-dimensional setting, a precise
description of the convergence of solutions is given for a general coercive
non-convex potentials with many local minima and maxima. We show that in this
case the set of initial conditions for which solutions converge to a local
minimum is open and dense.
| math.CA math.DS | we investigate the timeasymptotic properties of solutions of the differential equation xt atxt gxt 0 in a hilbert space where a is nonincreasing and g is the gradient of a potential g if the coefficient a is constant and positive we recover the socalled heavy ball with friction system on the other hand when at1t1 we obtain the trajectories associated to some averaged gradient system our analysis is mainly based on the existence of some suitable energy function when the potential g is convex and the coeffient a is nonintegrable at infinity the energy function converges to its minimum a more stringent condition is required to obtain the convergence of the trajectories of toward some minimum point of the potential in the onedimensional setting a precise description of the convergence of solutions is given for a general coercive nonconvex potentials with many local minima and maxima we show that in this case the set of initial conditions for which solutions converge to a local minimum is open and dense | [['we', 'investigate', 'the', 'timeasymptotic', 'properties', 'of', 'solutions', 'of', 'the', 'differential', 'equation', 'xt', 'atxt', 'gxt', '0', 'in', 'a', 'hilbert', 'space', 'where', 'a', 'is', 'nonincreasing', 'and', 'g', 'is', 'the', 'gradient', 'of', 'a', 'potential', 'g', 'if', 'the', 'coefficient', 'a', 'is', 'constant', 'and', 'positive', 'we', 'recover', 'the', 'socalled', 'heavy', 'ball', 'with', 'friction', 'system', 'on', 'the', 'other', 'hand', 'when', 'at1t1', 'we', 'obtain', 'the', 'trajectories', 'associated', 'to', 'some', 'averaged', 'gradient', 'system', 'our', 'analysis', 'is', 'mainly', 'based', 'on', 'the', 'existence', 'of', 'some', 'suitable', 'energy', 'function', 'when', 'the', 'potential', 'g', 'is', 'convex', 'and', 'the', 'coeffient', 'a', 'is', 'nonintegrable', 'at', 'infinity', 'the', 'energy', 'function', 'converges', 'to', 'its', 'minimum', 'a', 'more', 'stringent', 'condition', 'is', 'required', 'to', 'obtain', 'the', 'convergence', 'of', 'the', 'trajectories', 'of', 'toward', 'some', 'minimum', 'point', 'of', 'the', 'potential', 'in', 'the', 'onedimensional', 'setting', 'a', 'precise', 'description', 'of', 'the', 'convergence', 'of', 'solutions', 'is', 'given', 'for', 'a', 'general', 'coercive', 'nonconvex', 'potentials', 'with', 'many', 'local', 'minima', 'and', 'maxima', 'we', 'show', 'that', 'in', 'this', 'case', 'the', 'set', 'of', 'initial', 'conditions', 'for', 'which', 'solutions', 'converge', 'to', 'a', 'local', 'minimum', 'is', 'open', 'and', 'dense']] | [-0.1625976966384024, 0.0652806133491896, -0.11966283166646419, 0.05642678076962391, -0.05562173663386065, -0.12423418573642442, 0.02782356629080801, 0.318644399627067, -0.28832606472501376, -0.220915300636945, 0.13713136461355824, -0.3044094247350761, -0.12567305289551123, 0.17498779196449252, -0.05012227048401732, 0.07564545274643418, 0.07209524108764592, 0.10449782197071936, -0.0938928795905492, -0.23887600951704635, 0.3339542792633131, 0.00978921339230006, 0.21315679194669362, 0.07028692498444075, 0.11834923511669769, -0.01866762729428978, 0.06431913944746716, 0.027557520010524025, -0.1591964399413411, 0.09800607229706394, 0.17232557987153996, 0.1040972649142236, 0.32460533263700375, -0.37319624153560543, -0.19447763714692498, 0.17067342170749802, 0.10144603034728263, 0.08094434935181592, -0.04323536181776484, -0.23367016612557717, 0.1282763184968337, -0.06374468648783772, -0.17941827624643514, -0.05096563957743796, 0.06013048648362957, 0.0993684410420527, -0.3258048472785761, 0.0763169375601707, 0.05013862924358572, 0.016231408898146397, -0.1152850440093204, -0.08369353015876252, -0.033838234575330674, 0.08120883979970668, 0.05095331614461155, 0.08045527995465862, 0.10202292627542763, -0.14326093081491495, -0.012225099247375346, 0.3813345635657659, -0.09252298921620171, -0.24378851709146815, 0.18290387665016958, -0.16366865324608262, -0.11098518747421184, 0.12036261033738055, 0.14979202921939902, 0.1693753887988986, -0.1374292762661479, 0.13985452772200904, -0.050554290391415, 0.10838352255691516, 0.04122924248138106, 0.010158573396865794, 0.13707344356295934, 0.14794990811805545, 0.19486535489643328, 0.14448406751420495, -0.04348936557232582, -0.09874166723295867, -0.3530660597270871, -0.15955389713509435, -0.18981360934158586, 0.07013725818216195, -0.11057207262918776, -0.18891609250217206, 0.40832636828523083, 0.10621098362481649, 0.2352306431170598, 0.08454420325326654, 0.2593230261153216, 0.18239323093272894, 0.004149367495619479, 0.10341020821066327, 0.20765670426228472, 0.14189336978807957, 0.07728336379913815, -0.22949057803713682, 0.045328846299482216, 0.08576157982517259] |
710.1108 | Precision of diffuse 21-cm lensing | We study the limits of accuracy for weak lensing maps of dark matter using
diffuse 21-cm radiation from the pre-reionization epoch using simulations. We
improve on previous "optimal" quadratic lensing estimators by using shear and
convergence instead of deflection angles. We find that non-Gaussianity provides
a limit to the accuracy of weak lensing reconstruction, even if instrumental
noise is reduced to zero. The best reconstruction result is equivalent to
Gaussian sources with effectively independent cell of side length 2.0/h Mpc.
Using a source full map from z=10-20, this limiting sensitivity allows mapping
of dark matter at a Signal-to-Noise ratio (S/N) greater than 1 out to l < 6000,
which is better than any other proposed technique for large area weak lensing
mapping.
| astro-ph | we study the limits of accuracy for weak lensing maps of dark matter using diffuse 21cm radiation from the prereionization epoch using simulations we improve on previous optimal quadratic lensing estimators by using shear and convergence instead of deflection angles we find that nongaussianity provides a limit to the accuracy of weak lensing reconstruction even if instrumental noise is reduced to zero the best reconstruction result is equivalent to gaussian sources with effectively independent cell of side length 20h mpc using a source full map from z1020 this limiting sensitivity allows mapping of dark matter at a signaltonoise ratio sn greater than 1 out to l 6000 which is better than any other proposed technique for large area weak lensing mapping | [['we', 'study', 'the', 'limits', 'of', 'accuracy', 'for', 'weak', 'lensing', 'maps', 'of', 'dark', 'matter', 'using', 'diffuse', '21cm', 'radiation', 'from', 'the', 'prereionization', 'epoch', 'using', 'simulations', 'we', 'improve', 'on', 'previous', 'optimal', 'quadratic', 'lensing', 'estimators', 'by', 'using', 'shear', 'and', 'convergence', 'instead', 'of', 'deflection', 'angles', 'we', 'find', 'that', 'nongaussianity', 'provides', 'a', 'limit', 'to', 'the', 'accuracy', 'of', 'weak', 'lensing', 'reconstruction', 'even', 'if', 'instrumental', 'noise', 'is', 'reduced', 'to', 'zero', 'the', 'best', 'reconstruction', 'result', 'is', 'equivalent', 'to', 'gaussian', 'sources', 'with', 'effectively', 'independent', 'cell', 'of', 'side', 'length', '20h', 'mpc', 'using', 'a', 'source', 'full', 'map', 'from', 'z1020', 'this', 'limiting', 'sensitivity', 'allows', 'mapping', 'of', 'dark', 'matter', 'at', 'a', 'signaltonoise', 'ratio', 'sn', 'greater', 'than', '1', 'out', 'to', 'l', '6000', 'which', 'is', 'better', 'than', 'any', 'other', 'proposed', 'technique', 'for', 'large', 'area', 'weak', 'lensing', 'mapping']] | [-0.07173804443883748, 0.017065558251578454, -0.08324181473975585, 0.11056586426744346, -0.08737852607568926, -0.12859423438949155, 0.04015290562048062, 0.3620147748796408, -0.22456934954201388, -0.30910381575861623, 0.06099671710278716, -0.2973511470425229, -0.057551605542275036, 0.23297506974325016, -0.003286318426320622, 0.04829188885863809, 0.06175237569730914, -0.04242626133505717, -0.09374926461499523, -0.2827768384965814, 0.2810533075008449, 0.14765617613919263, 0.2595126248996181, -0.01794626451413001, 0.13964014739079078, -0.009356421002856464, -0.07890257314145796, 0.055972685552517734, -0.15810198581245707, 0.06298529543367422, 0.19877865004607223, 0.13040591039629182, 0.20773981678230333, -0.32297335034005403, -0.2247592739910965, 0.1634745124635125, 0.16712543382963613, 0.12500812770887315, -0.011066250738780176, -0.31064960258928215, 0.1300312291209255, -0.1298811702396382, -0.08601368320259181, -0.023401574516468796, -0.03168334273913921, 0.02422371486005612, -0.29138017082894757, 0.15860953983612175, 0.01103367685332648, 0.04457708227271137, -0.015013776046574147, -0.10389204763457148, 0.017011906330142754, 0.08558953525440782, 0.03004012443702514, 0.07369316140204679, 0.1877307684029922, -0.1560155037301785, -0.00030605961984285144, 0.3767150660114717, -0.1690104824785732, -0.1474300740067347, 0.15621615680558068, -0.1929667946297583, -0.1489450433406948, 0.1999360038783432, 0.14257942512631416, 0.06598981910131195, -0.1286196604155558, 0.07343797279812381, 0.005175759607910617, 0.2502972638650128, 0.10658732925595577, 0.027781736390465054, 0.24961023380564265, 0.1381387322677361, 0.18165007035809855, 0.1209379584583346, -0.19374938665365815, 0.03295091830371025, -0.2678833913350524, -0.06706488135170714, -0.1707723822939202, 0.10664867316776779, -0.16992364463207316, -0.10566898814473717, 0.33787467572376256, 0.17997691930033083, 0.15578934443202486, 0.11712397848282871, 0.36961955009105285, 0.09156125822404693, 0.036656298035801935, 0.037054310125598976, 0.3202238428629627, 0.15301907342023502, 0.04478961103095496, -0.1840195335901904, 0.011999865324228755, 0.024608128673343128] |
710.1109 | Rough Isometries of Lipschitz Function Spaces | We show that rough isometries between metric spaces X, Y can be lifted to the
spaces of real valued 1-Lipschitz functions over X and Y with supremum metric
and apply this to their scaling limits. For the inverse, we show how rough
isometries between X and Y can be reconstructed from structurally enriched
rough isometries between their Lipschitz function spaces.
| math.MG | we show that rough isometries between metric spaces x y can be lifted to the spaces of real valued 1lipschitz functions over x and y with supremum metric and apply this to their scaling limits for the inverse we show how rough isometries between x and y can be reconstructed from structurally enriched rough isometries between their lipschitz function spaces | [['we', 'show', 'that', 'rough', 'isometries', 'between', 'metric', 'spaces', 'x', 'y', 'can', 'be', 'lifted', 'to', 'the', 'spaces', 'of', 'real', 'valued', '1lipschitz', 'functions', 'over', 'x', 'and', 'y', 'with', 'supremum', 'metric', 'and', 'apply', 'this', 'to', 'their', 'scaling', 'limits', 'for', 'the', 'inverse', 'we', 'show', 'how', 'rough', 'isometries', 'between', 'x', 'and', 'y', 'can', 'be', 'reconstructed', 'from', 'structurally', 'enriched', 'rough', 'isometries', 'between', 'their', 'lipschitz', 'function', 'spaces']] | [-0.0751917550029854, 0.1476868279511109, -0.11122069085637729, 0.1269815084815491, -0.08530775814627607, -0.0672344444009165, 0.04692255702490608, 0.5158265346040328, -0.43274352069323263, -0.21625680380966514, 0.0464084857609123, -0.31938047758303584, -0.14033765690401195, 0.18647092316144456, -0.1576643031400939, 0.03188045785451929, -0.005992483596007029, 0.01911740079522133, -0.2320154866281276, -0.30943230182553333, 0.415701529259483, -0.09323928918068608, 0.2168682015656183, 0.02766178981401026, 0.18856479157693684, 0.024872629002978406, -0.027401421785665056, 0.051342418029283486, -0.1652948134313192, 0.15613882672041654, 0.3178453010332305, 0.08679593404134114, 0.17966029858216642, -0.32122807381674645, -0.19312957098397115, 0.23176643767704566, 0.07543569720971087, -0.12973366361111402, 0.011728220417474707, -0.37066980050876736, 0.0910964766672502, -0.0526681922065715, -0.06556049933133182, -0.11721846946359922, 0.06847387186717242, 0.053692134811232486, -0.2860527570359409, 0.01709447174798697, 0.08788080144052704, 0.009428419056348503, -0.08368736252499123, -0.06411901633255183, -0.1687897815136239, 0.11887203926841418, 0.03707635812461376, 0.13136054190496604, 0.10008657976674537, 0.03209169606755798, -0.0755692500155419, 0.28700133377375703, -0.12317996273438135, -0.34263999400039513, 0.16844600347491603, -0.2299121463855651, -0.076718314186049, 0.08249582597054542, 0.16634799557117125, 0.17631858168169856, -0.07641821974733223, 0.22241306736153396, -0.05505061869819959, 0.12437515342608094, 0.08627578685991466, 0.04142834048252553, 0.12550228272254269, 0.08907528412916386, 0.14892306473727027, 0.11205357945291325, 0.03325459404538075, 0.0017549667730539416, -0.36788379636903606, -0.1560846444685012, -0.09526511731867988, 0.16761015684654315, -0.17130640239071607, -0.1715871817432344, 0.22699898375819128, 0.08744965263952811, 0.27089822497218846, 0.11351540253187219, 0.15531297782436013, 0.0347050036303699, -0.03508849251860132, 0.04260754726516704, 0.1429853407200426, 0.1998112008945706, 0.010260097672774767, -0.08025424479274079, 0.03245741860785832, 0.16679065969850246] |
710.111 | Analysis of cosmic microwave background radiation in the presence of
Lorentz violation | We examine the effects Lorentz violation on observations of cosmic microwave
background radiation. In particular, we focus on changes in polarization caused
by vacuum birefringence. We place stringent constraints on previously untested
violations.
| astro-ph | we examine the effects lorentz violation on observations of cosmic microwave background radiation in particular we focus on changes in polarization caused by vacuum birefringence we place stringent constraints on previously untested violations | [['we', 'examine', 'the', 'effects', 'lorentz', 'violation', 'on', 'observations', 'of', 'cosmic', 'microwave', 'background', 'radiation', 'in', 'particular', 'we', 'focus', 'on', 'changes', 'in', 'polarization', 'caused', 'by', 'vacuum', 'birefringence', 'we', 'place', 'stringent', 'constraints', 'on', 'previously', 'untested', 'violations']] | [-0.19307400351108023, 0.18351065728700522, 0.006783068151862332, 0.11475801355007922, -0.15259699523448944, -0.04285502896615953, 0.08494942525937928, 0.3409589226498748, -0.12457703051129074, -0.3370110283351757, 0.06404285386176498, -0.27630487185987557, -0.06991998732767322, 0.21756093395930348, -0.04442876321969159, 0.03982273691023389, -0.06333384820909212, -0.08753576615091527, -0.05408349122400537, -0.22027603891734598, 0.35146828986365686, 0.1764662592022708, 0.36539341277922643, 0.09047651573112517, 0.09066769892744946, -0.009024475009716822, -0.10813795667931889, 0.06620531269546712, -0.16840671536964225, -0.003760020835739631, 0.0581307702302707, 0.14228546767580239, 0.10242277155206962, -0.557654925368049, -0.24801578288051215, 0.15825409761093784, 0.009068503411430302, 0.17195419792198774, -0.0703874574656683, -0.3712348545139486, -0.08652338870998585, -0.064205751077018, -0.07082779145319805, -0.02302248636966176, -0.04216407459567894, -0.09593193896227714, -0.21953864722992433, 0.10085383111215902, -0.020142431921240957, 0.029757685296124582, -0.06052585979076949, -0.032179343993916656, 0.10259424291099563, -0.01820425136071263, 0.1513696587221189, -0.02584308675123435, 0.23344568246411104, -0.1339331640170492, -0.1024830870781884, 0.4216808338056911, -0.14643285875067566, -0.14469678127065752, 0.11537950649631745, -0.29053617027503525, -0.30155402723925584, 0.07785128305355708, 0.26459412383988046, 0.06569399831421448, -0.13566012852684114, 0.15038323504003612, 0.048023826103996144, 0.16887145698296302, 0.16790087032837397, 0.15354759172733987, 0.27825228316765843, 0.10128317239242747, 0.008529629791155457, 0.12275822300492137, -0.11183675864683182, 0.04291412369771437, -0.3643087785916798, -0.00771166906325203, -0.11998277688116739, 0.13015544555629743, -0.0867302432712732, -0.06377919596817458, 0.323378723636834, 0.19824527644298293, 0.12016999549373533, -0.06410139878139351, 0.3404303008238926, 0.034193769012662495, 0.06656711291747563, 0.0038284683938730846, 0.4859236232710607, 0.09721877150040006, 0.08462838194982121, -0.30110314096126595, 0.11022411017311794, -0.03552221741075769] |
710.1111 | B -> D* l nu with 2+1 flavors | We present a calculation of the form factor for B -> D* l nu using a 2+1
improved staggered action for the light quarks (on the MILC configurations),
and the Fermilab action for the heavy quarks. The form factor is computed at
zero recoil using a new double ratio method which yields the form factor more
directly than previous approaches.
| hep-lat | we present a calculation of the form factor for b d l nu using a 21 improved staggered action for the light quarks on the milc configurations and the fermilab action for the heavy quarks the form factor is computed at zero recoil using a new double ratio method which yields the form factor more directly than previous approaches | [['we', 'present', 'a', 'calculation', 'of', 'the', 'form', 'factor', 'for', 'b', 'd', 'l', 'nu', 'using', 'a', '21', 'improved', 'staggered', 'action', 'for', 'the', 'light', 'quarks', 'on', 'the', 'milc', 'configurations', 'and', 'the', 'fermilab', 'action', 'for', 'the', 'heavy', 'quarks', 'the', 'form', 'factor', 'is', 'computed', 'at', 'zero', 'recoil', 'using', 'a', 'new', 'double', 'ratio', 'method', 'which', 'yields', 'the', 'form', 'factor', 'more', 'directly', 'than', 'previous', 'approaches']] | [-0.07352727995514553, 0.20200700662493454, -0.09591556465553151, 0.03247235608247693, -0.012226404353849968, -0.13433621366018966, 0.10982454064207435, 0.3352805581575228, -0.15917560760468497, -0.27003747256377997, 0.001208616404841512, -0.29122700958938924, -0.026664247160177616, 0.1759356292817047, 0.08486810366039053, 0.05039066013138173, 0.11809608339079482, 0.048518482122128295, -0.14216482711924336, -0.231462727948013, 0.30703766078893413, 0.04325533961340532, 0.26025305535265447, 0.08094588688069607, 0.06501266827522698, -0.0014350604407994425, -0.05899881844614017, -0.014650595263909485, -0.0903274401690874, 0.12030595918264934, 0.0745892327957613, 0.06426278725108606, 0.151645256174823, -0.33694811176382383, -0.15810077869080766, 0.05831048512136785, 0.1308246910793044, 0.08243692149131922, -0.009729234406268777, -0.26370987632327664, 0.12428364514420598, -0.20048497854810904, -0.15176102576651057, -0.09696834335514044, 0.027155808630888744, -0.1118720541885754, -0.38868982908394883, 0.04477528095939907, -0.019658584897485325, 0.0689457345722338, 0.02048014401126716, -0.2798020335198459, 0.044042912603876855, 0.0654564300725647, 0.03585036060480811, 0.16300585215627136, 0.1408965655018465, -0.1523932475059972, -0.1278885909261466, 0.4208357016698031, -0.14878509906875326, -0.22933485280027835, 0.11885221258310949, -0.15956382649177211, -0.10747161087722092, 0.14959831911502247, 0.20636726419788676, 0.16164545702227093, -0.14585970492117992, 0.06798131236613145, -0.04629138126274792, 0.17783883728986702, 0.10950553131494987, -0.007534312865681062, 0.16766053274021311, 0.17099591563416297, 0.02593709297983323, 0.06846473281571673, -0.078533015888721, -0.05144321716437906, -0.31734013121764537, -0.10266546435433171, -0.10625853620556389, 0.10218566081533997, -0.09970962207234599, -0.10647202191984881, 0.3966069585856808, 0.04629146588682118, 0.19390986378352015, 0.02535425309857385, 0.2847667040650622, 0.13746742477987783, 0.120532456016902, 0.1179853594167379, 0.22597572333731894, 0.10701219096653543, 0.09036399472220721, -0.27799888622110425, -0.052507426617351374, 0.16306298589965296] |
710.1112 | Four-level systems and a universal quantum gate | We discuss a possibility of implementing a universal quantum XOR gate, by
using two coupled quantum dots subjected to external magnetic fields that are
parallel and slightly different. We consider this system in two different field
configurations. In the first case, parallel external fields with the intensity
difference at each spin being proportional to the time-dependent interaction
between the spins. General exact solution describing this system is presented
and analyzed to adjust parameters of the field. Then we consider parallel
fields with intensity difference at each spin being constant and the
interaction between the spins switching on and off adiabatically. In both cases
we adjust characteristics of the external fields (their intensities and
duration) in order to have the parallel pulse adequate for constructing the XOR
gate. In order to provide a complete theoretical description of all the cases,
we derive relations between the spin interaction, the inter-dot distance, and
the external field.
| quant-ph cond-mat.other | we discuss a possibility of implementing a universal quantum xor gate by using two coupled quantum dots subjected to external magnetic fields that are parallel and slightly different we consider this system in two different field configurations in the first case parallel external fields with the intensity difference at each spin being proportional to the timedependent interaction between the spins general exact solution describing this system is presented and analyzed to adjust parameters of the field then we consider parallel fields with intensity difference at each spin being constant and the interaction between the spins switching on and off adiabatically in both cases we adjust characteristics of the external fields their intensities and duration in order to have the parallel pulse adequate for constructing the xor gate in order to provide a complete theoretical description of all the cases we derive relations between the spin interaction the interdot distance and the external field | [['we', 'discuss', 'a', 'possibility', 'of', 'implementing', 'a', 'universal', 'quantum', 'xor', 'gate', 'by', 'using', 'two', 'coupled', 'quantum', 'dots', 'subjected', 'to', 'external', 'magnetic', 'fields', 'that', 'are', 'parallel', 'and', 'slightly', 'different', 'we', 'consider', 'this', 'system', 'in', 'two', 'different', 'field', 'configurations', 'in', 'the', 'first', 'case', 'parallel', 'external', 'fields', 'with', 'the', 'intensity', 'difference', 'at', 'each', 'spin', 'being', 'proportional', 'to', 'the', 'timedependent', 'interaction', 'between', 'the', 'spins', 'general', 'exact', 'solution', 'describing', 'this', 'system', 'is', 'presented', 'and', 'analyzed', 'to', 'adjust', 'parameters', 'of', 'the', 'field', 'then', 'we', 'consider', 'parallel', 'fields', 'with', 'intensity', 'difference', 'at', 'each', 'spin', 'being', 'constant', 'and', 'the', 'interaction', 'between', 'the', 'spins', 'switching', 'on', 'and', 'off', 'adiabatically', 'in', 'both', 'cases', 'we', 'adjust', 'characteristics', 'of', 'the', 'external', 'fields', 'their', 'intensities', 'and', 'duration', 'in', 'order', 'to', 'have', 'the', 'parallel', 'pulse', 'adequate', 'for', 'constructing', 'the', 'xor', 'gate', 'in', 'order', 'to', 'provide', 'a', 'complete', 'theoretical', 'description', 'of', 'all', 'the', 'cases', 'we', 'derive', 'relations', 'between', 'the', 'spin', 'interaction', 'the', 'interdot', 'distance', 'and', 'the', 'external', 'field']] | [-0.18240542124250744, 0.17985752637017202, -0.002673826757148882, 0.047671219056283486, -0.017806786727472178, -0.1653698374992054, 0.03512702691460065, 0.44346632401221525, -0.2569003216511406, -0.3251359985922189, 0.03540461344470946, -0.23548729602837923, -0.08123418542684294, 0.1979059554237775, 0.03581293017353887, -0.015321732215656369, -0.020543698854500952, 0.042749848452836484, -0.07612000130348248, -0.23781770623891668, 0.3111620933710357, -0.0011700649328797667, 0.28176958149213804, 0.022329111096564852, 0.1095957404300814, 0.06086549936836354, 0.046020928943024494, 0.028524067078798277, -0.10912759849685434, 0.07535922705055842, 0.2049504942013395, 0.026537141850936453, 0.22601464076052888, -0.47747441170603233, -0.14019857497971042, 0.07030834833135695, 0.09676078937375565, 0.16016181596871343, -0.039375980406713494, -0.2550430301305978, 0.04241779101769032, -0.14188514246903602, -0.10181472872329109, -0.06382381762347482, 0.03356863161643322, 0.07481167549450024, -0.2776282232686926, 0.024965047495427474, 0.038589719399882885, 0.062334468489888675, -0.06718609763881545, -0.056326201493742276, 0.02746308233674153, 0.15772860214491588, 0.044758993149217635, 0.06369806121535648, 0.13266236610479312, -0.13666404044298225, -0.1251829246856467, 0.3204001497805995, -0.0734185325210074, -0.2211042273594858, 0.18235721518255138, -0.14221874210873947, -0.06450635059341009, 0.05617678391875005, 0.16204683366992506, 0.09185728258483745, -0.14572660676873248, 0.08987390289305301, 0.05444356098655441, 0.1622054253360926, 0.07522992503348422, 0.03311755788988842, 0.23761997409842092, 0.08986613662073425, 0.051516492281936936, 0.19743678836285875, -0.08604290412915444, -0.14465999303787364, -0.30282394814432834, -0.1337013514217878, -0.14926214519891207, 0.054249169715844536, -0.09005610187209552, -0.1325807945096707, 0.4391529728214141, 0.1863069385229275, 0.16677849624135527, 0.006391523326777555, 0.32339733909949464, 0.1600868592002228, 0.04833410442289379, 0.07732392715752806, 0.24545235724304043, 0.1985919035277238, 0.06664310371064965, -0.27182733303459444, 0.0074351880626351225, -0.00688626275708278] |
710.1113 | Alfv\'en QPOs in Magnetars | We investigate torsional Alfv\'en oscillations of relativistic stars with a
global dipole magnetic field, via two-dimensional numerical simulations. We
find that a) there exist two families of quasi-periodic oscillations (QPOs)
with harmonics at integer multiples of the fundamental frequency, b) the
lower-frequency QPO is related to the region of closed field lines, near the
equator, while the higher-frequency QPO is generated near the magnetic axis, c)
the QPOs are long-lived, d) for the chosen form of dipolar magnetic field, the
frequency ratio of the lower to upper fundamental QPOs is ~0.6, independent of
the equilibrium model or of the strength of the magnetic field, and e) within a
representative sample of equations of state and of various magnetar masses, the
Alfv\'en QPO frequencies are given by accurate empirical relations that depend
only on the compactness of the star and on the magnetic field strength. The
lower and upper QPOs can be interpreted as corresponding to the edges or
turning points of an Alfv\'en continuum, according to the model proposed by
Levin (2007). Several of the low-frequency QPOs observed in the X-ray tail of
SGR 1806-20 can readily be identified with the Alfv\'en QPOs we compute. In
particular, one could identify the 18Hz and 30Hz observed frequencies with the
fundamental lower and upper QPOs, correspondingly, while the observed
frequencies of 92Hz and 150Hz are then integer multiples of the fundamental
upper QPO frequency (three times and five times, correspondingly). With this
identification, we obtain an upper limit on the strength of magnetic field of
SGR 1806-20 (if is dominated by a dipolar component) between ~3 and $7\times
10^{15}$G. Furthermore, we discuss the implications for the high-density EOS of
compact stars. (Abridged)
| astro-ph | we investigate torsional alfven oscillations of relativistic stars with a global dipole magnetic field via twodimensional numerical simulations we find that a there exist two families of quasiperiodic oscillations qpos with harmonics at integer multiples of the fundamental frequency b the lowerfrequency qpo is related to the region of closed field lines near the equator while the higherfrequency qpo is generated near the magnetic axis c the qpos are longlived d for the chosen form of dipolar magnetic field the frequency ratio of the lower to upper fundamental qpos is 06 independent of the equilibrium model or of the strength of the magnetic field and e within a representative sample of equations of state and of various magnetar masses the alfven qpo frequencies are given by accurate empirical relations that depend only on the compactness of the star and on the magnetic field strength the lower and upper qpos can be interpreted as corresponding to the edges or turning points of an alfven continuum according to the model proposed by levin 2007 several of the lowfrequency qpos observed in the xray tail of sgr 180620 can readily be identified with the alfven qpos we compute in particular one could identify the 18hz and 30hz observed frequencies with the fundamental lower and upper qpos correspondingly while the observed frequencies of 92hz and 150hz are then integer multiples of the fundamental upper qpo frequency three times and five times correspondingly with this identification we obtain an upper limit on the strength of magnetic field of sgr 180620 if is dominated by a dipolar component between 3 and 7times 1015g furthermore we discuss the implications for the highdensity eos of compact stars abridged | [['we', 'investigate', 'torsional', 'alfven', 'oscillations', 'of', 'relativistic', 'stars', 'with', 'a', 'global', 'dipole', 'magnetic', 'field', 'via', 'twodimensional', 'numerical', 'simulations', 'we', 'find', 'that', 'a', 'there', 'exist', 'two', 'families', 'of', 'quasiperiodic', 'oscillations', 'qpos', 'with', 'harmonics', 'at', 'integer', 'multiples', 'of', 'the', 'fundamental', 'frequency', 'b', 'the', 'lowerfrequency', 'qpo', 'is', 'related', 'to', 'the', 'region', 'of', 'closed', 'field', 'lines', 'near', 'the', 'equator', 'while', 'the', 'higherfrequency', 'qpo', 'is', 'generated', 'near', 'the', 'magnetic', 'axis', 'c', 'the', 'qpos', 'are', 'longlived', 'd', 'for', 'the', 'chosen', 'form', 'of', 'dipolar', 'magnetic', 'field', 'the', 'frequency', 'ratio', 'of', 'the', 'lower', 'to', 'upper', 'fundamental', 'qpos', 'is', '06', 'independent', 'of', 'the', 'equilibrium', 'model', 'or', 'of', 'the', 'strength', 'of', 'the', 'magnetic', 'field', 'and', 'e', 'within', 'a', 'representative', 'sample', 'of', 'equations', 'of', 'state', 'and', 'of', 'various', 'magnetar', 'masses', 'the', 'alfven', 'qpo', 'frequencies', 'are', 'given', 'by', 'accurate', 'empirical', 'relations', 'that', 'depend', 'only', 'on', 'the', 'compactness', 'of', 'the', 'star', 'and', 'on', 'the', 'magnetic', 'field', 'strength', 'the', 'lower', 'and', 'upper', 'qpos', 'can', 'be', 'interpreted', 'as', 'corresponding', 'to', 'the', 'edges', 'or', 'turning', 'points', 'of', 'an', 'alfven', 'continuum', 'according', 'to', 'the', 'model', 'proposed', 'by', 'levin', '2007', 'several', 'of', 'the', 'lowfrequency', 'qpos', 'observed', 'in', 'the', 'xray', 'tail', 'of', 'sgr', '180620', 'can', 'readily', 'be', 'identified', 'with', 'the', 'alfven', 'qpos', 'we', 'compute', 'in', 'particular', 'one', 'could', 'identify', 'the', '18hz', 'and', '30hz', 'observed', 'frequencies', 'with', 'the', 'fundamental', 'lower', 'and', 'upper', 'qpos', 'correspondingly', 'while', 'the', 'observed', 'frequencies', 'of', '92hz', 'and', '150hz', 'are', 'then', 'integer', 'multiples', 'of', 'the', 'fundamental', 'upper', 'qpo', 'frequency', 'three', 'times', 'and', 'five', 'times', 'correspondingly', 'with', 'this', 'identification', 'we', 'obtain', 'an', 'upper', 'limit', 'on', 'the', 'strength', 'of', 'magnetic', 'field', 'of', 'sgr', '180620', 'if', 'is', 'dominated', 'by', 'a', 'dipolar', 'component', 'between', '3', 'and', '7times', '1015g', 'furthermore', 'we', 'discuss', 'the', 'implications', 'for', 'the', 'highdensity', 'eos', 'of', 'compact', 'stars', 'abridged']] | [-0.1727723864999285, 0.20356644466722454, -0.004519537092930228, 0.09311536329642621, -0.09620174344816654, -0.07446719810664788, 0.07474322586358867, 0.3552521817124844, -0.18902818074369496, -0.31560940380214897, 0.08301181713430707, -0.24275884372282694, -0.043100523018686894, 0.2680570630008261, 0.02224350466529869, -0.012602142498848572, 0.014025659382882655, 0.06822868974597977, -0.037359628831404895, -0.1506840788881569, 0.26467228180514446, 0.03401627156736075, 0.2022040856167969, -0.002560867877298524, 0.04737319820058003, -0.10531757725821472, 0.0385013008004443, -0.036094392076363536, -0.1410714967453014, 0.07741828738098709, 0.2143216498728788, 0.0724448427256595, 0.19875395248422947, -0.41317426486986353, -0.1940461708577819, 0.07811498361398472, 0.16010424556552347, 0.04355484627776866, 0.01656540177415775, -0.2638048529708691, 0.06902229053926447, -0.13923616106655423, -0.14565596223654723, -0.007719297397533338, 0.08214171787325239, 0.0556915347500396, -0.26110698294108936, 0.13577021071067577, 0.09445374263969766, 0.06582602238265392, -0.15007160687417115, -0.11525498415015155, -0.03880200679887173, 0.05822034560566058, 0.1165677994580122, 0.07553229357866342, 0.13030818453319906, -0.09325971940394974, -0.11810047888337709, 0.352185386119129, -0.10789877327792212, -0.08532747736857306, 0.1884704956980824, -0.25566373492185723, -0.14031455095307968, 0.14078684865074942, 0.1606103550230669, 0.08008987603963708, -0.07544122941217472, 0.04820974663770155, -0.03573014107170572, 0.20768365297104707, 0.12261758990528852, 0.0538786453883358, 0.31825374616242996, 0.10115639667450484, 0.02132689786393182, 0.13001005555186487, -0.19869311560023234, 0.006550247408282145, -0.27580049104164456, -0.05929794373603583, -0.16226141977001637, 0.05144773196452465, -0.11949690881057722, -0.16559470943320775, 0.4306547553454385, 0.1106187291158591, 0.19458331808233434, 0.006091394452478656, 0.26744992058663863, 0.2036201396539117, 0.0336418032255476, 0.15109468165369663, 0.33120445033917273, 0.21190687012607431, 0.059742452201547384, -0.25868402834183524, -0.0037093001123427297, 0.05171361346829602] |
710.1114 | XMM-Newton, Chandra, and CGPS observations of the Supernova Remnants
G85.4+0.7 and G85.9-0.6 | We present an XMM-Newton detection of two low radio surface brightness SNRs,
G85.4+0.7 and G85.9-0.6, discovered with the Canadian Galactic Plane Survey
(CGPS). High-resolution XMM-Newton images revealing the morphology of the
diffuse emission, as well as discrete point sources, are presented and
correlated with radio and Chandra images. The new data also permit a
spectroscopic analysis of the diffuse emission regions, and a spectroscopic and
timing analysis of the point sources. Distances have been determined from HI
and CO data to be 3.5 +/- 1.0 kpc for SNR G85.4+0.7 and 4.8 +/- 1.6 kpc for SNR
G85.9-0.6. The SNR G85.4+0.7 is found to have a temperature of ~12-13 MK and a
0.5-2.5 keV luminosity of ~1-4 x 10^33 D(3.5)^2 erg/s (where D(3.5) is the
distance in units of 3.5 kpc), with an electron density n_e of
~0.07-0.16(fD(3.5))^-1/2 cm^-3 (where f is the volume filling factor), and a
shock age of ~9-49(fD(3.5))^1/2 kyr. The SNR G85.9-0.6 is found to have a
temperature of ~15-19 MK and a 0.5-2.5 keV luminosity of ~1-4 x 10^34 D(4.8)^2
erg/s (where D(4.8) is the distance in units of 4.8 kpc), with an electron
density n_e of ~0.04-0.10(fD(4.8))^-1/2 cm^-3 and a shock age of
~12-42(fD(4.8))^1/2 kyr. Based on the data presented here, none of the point
sources appears to be the neutron star associated with either SNR.
| astro-ph | we present an xmmnewton detection of two low radio surface brightness snrs g85407 and g85906 discovered with the canadian galactic plane survey cgps highresolution xmmnewton images revealing the morphology of the diffuse emission as well as discrete point sources are presented and correlated with radio and chandra images the new data also permit a spectroscopic analysis of the diffuse emission regions and a spectroscopic and timing analysis of the point sources distances have been determined from hi and co data to be 35 10 kpc for snr g85407 and 48 16 kpc for snr g85906 the snr g85407 is found to have a temperature of 1213 mk and a 0525 kev luminosity of 14 x 1033 d352 ergs where d35 is the distance in units of 35 kpc with an electron density n_e of 007016fd3512 cm3 where f is the volume filling factor and a shock age of 949fd3512 kyr the snr g85906 is found to have a temperature of 1519 mk and a 0525 kev luminosity of 14 x 1034 d482 ergs where d48 is the distance in units of 48 kpc with an electron density n_e of 004010fd4812 cm3 and a shock age of 1242fd4812 kyr based on the data presented here none of the point sources appears to be the neutron star associated with either snr | [['we', 'present', 'an', 'xmmnewton', 'detection', 'of', 'two', 'low', 'radio', 'surface', 'brightness', 'snrs', 'g85407', 'and', 'g85906', 'discovered', 'with', 'the', 'canadian', 'galactic', 'plane', 'survey', 'cgps', 'highresolution', 'xmmnewton', 'images', 'revealing', 'the', 'morphology', 'of', 'the', 'diffuse', 'emission', 'as', 'well', 'as', 'discrete', 'point', 'sources', 'are', 'presented', 'and', 'correlated', 'with', 'radio', 'and', 'chandra', 'images', 'the', 'new', 'data', 'also', 'permit', 'a', 'spectroscopic', 'analysis', 'of', 'the', 'diffuse', 'emission', 'regions', 'and', 'a', 'spectroscopic', 'and', 'timing', 'analysis', 'of', 'the', 'point', 'sources', 'distances', 'have', 'been', 'determined', 'from', 'hi', 'and', 'co', 'data', 'to', 'be', '35', '10', 'kpc', 'for', 'snr', 'g85407', 'and', '48', '16', 'kpc', 'for', 'snr', 'g85906', 'the', 'snr', 'g85407', 'is', 'found', 'to', 'have', 'a', 'temperature', 'of', '1213', 'mk', 'and', 'a', '0525', 'kev', 'luminosity', 'of', '14', 'x', '1033', 'd352', 'ergs', 'where', 'd35', 'is', 'the', 'distance', 'in', 'units', 'of', '35', 'kpc', 'with', 'an', 'electron', 'density', 'n_e', 'of', '007016fd3512', 'cm3', 'where', 'f', 'is', 'the', 'volume', 'filling', 'factor', 'and', 'a', 'shock', 'age', 'of', '949fd3512', 'kyr', 'the', 'snr', 'g85906', 'is', 'found', 'to', 'have', 'a', 'temperature', 'of', '1519', 'mk', 'and', 'a', '0525', 'kev', 'luminosity', 'of', '14', 'x', '1034', 'd482', 'ergs', 'where', 'd48', 'is', 'the', 'distance', 'in', 'units', 'of', '48', 'kpc', 'with', 'an', 'electron', 'density', 'n_e', 'of', '004010fd4812', 'cm3', 'and', 'a', 'shock', 'age', 'of', '1242fd4812', 'kyr', 'based', 'on', 'the', 'data', 'presented', 'here', 'none', 'of', 'the', 'point', 'sources', 'appears', 'to', 'be', 'the', 'neutron', 'star', 'associated', 'with', 'either', 'snr']] | [-0.07751338812850521, 0.0949337718427753, -0.03438562430887365, 0.05248835228630582, -0.05164710619976578, -0.08498791867797154, 0.08283272480041208, 0.44491056930011424, -0.15713174681467804, -0.36438527447062197, 0.0880589925524442, -0.35059653367724775, 0.050748352573511187, 0.19985138455038548, 0.012237071704574174, -0.06568534287488517, 0.002511825744814716, -0.039817927481755264, -0.07878227516442554, -0.23135088916327978, 0.21790319446806616, 0.1368778891196833, 0.17005168251308478, 0.0465422641975639, 0.12266165884856589, -0.14140966712571507, -0.029750313939955173, -0.03644739205078899, -0.10812690850793266, 0.02961176355531168, 0.27578472041747937, 0.13804058433770522, 0.1813850117669148, -0.3233635586734529, -0.21459082570014426, 0.03972314220105468, 0.18002589350618736, -0.07679169153261213, 0.001980092404344657, -0.28898666328214934, 0.07379330557272573, -0.206905325968693, -0.17973746366344148, 0.13245885613495473, 0.07480108641424685, 0.05898127863358514, -0.19739262894137014, 0.17788313270287978, -0.05859999433039587, 0.1332835865932836, -0.11822676477394124, -0.1318414229374956, -0.0038372705495990636, 0.022606739877097902, 0.016726989929778543, 0.1365589786259711, 0.16929469510536868, -0.10183077569867313, -0.024127354255129754, 0.36399646760992044, -0.015373823438451884, 0.043156997392095074, 0.21246123682388363, -0.19841757764768714, -0.15516293605028744, 0.23484516735440075, 0.13273955803548157, 0.07785615204404953, -0.1737218046858207, 0.03828696176689009, -0.040575540901113635, 0.2823589261392505, 0.06244625635401394, 0.06308941690452362, 0.2574306339836579, 0.12604798561185074, 0.047936639367021236, 0.10115013941504856, -0.36505671900324305, 0.057518655661615965, -0.23134976228428, -0.0838216062421482, -0.13453194668938454, 0.15290111226484424, -0.16890039096922263, -0.10680271680860347, 0.31938196993717144, 0.09526578384613348, 0.23314035402505962, 0.024045403285975188, 0.2738582678226658, 0.09913907122023255, 0.047964884597860594, 0.16175283275833222, 0.27314250857652356, 0.19930407599908925, 0.07280352756604028, -0.17161280009567634, -0.0021094570325538866, -0.035333282592435296] |
710.1115 | Adapted Linear-Nonlinear Decomposition And Global Well-posedness For
Solutions To The Defocusing Cubic Wave Equation On $\mathbb{R}^{3}$ | We prove global well-posedness for the defocusing cubic wave equation with
data in $H^{s} \times H^{s-1}$, $1>s>{13/18}$. The main task is to estimate the
variation of an almost conserved quantity on an arbitrary long time interval.
We divide it into subintervals. On each of these subintervals we write the
solution as the sum of its linear part adapted to the subinterval and its
corresponding npnlinear part. Some terms resulting from this decomposition have
a controlled global variation and other terms have a slow local variation.
| math.AP | we prove global wellposedness for the defocusing cubic wave equation with data in hs times hs1 1s1318 the main task is to estimate the variation of an almost conserved quantity on an arbitrary long time interval we divide it into subintervals on each of these subintervals we write the solution as the sum of its linear part adapted to the subinterval and its corresponding npnlinear part some terms resulting from this decomposition have a controlled global variation and other terms have a slow local variation | [['we', 'prove', 'global', 'wellposedness', 'for', 'the', 'defocusing', 'cubic', 'wave', 'equation', 'with', 'data', 'in', 'hs', 'times', 'hs1', '1s1318', 'the', 'main', 'task', 'is', 'to', 'estimate', 'the', 'variation', 'of', 'an', 'almost', 'conserved', 'quantity', 'on', 'an', 'arbitrary', 'long', 'time', 'interval', 'we', 'divide', 'it', 'into', 'subintervals', 'on', 'each', 'of', 'these', 'subintervals', 'we', 'write', 'the', 'solution', 'as', 'the', 'sum', 'of', 'its', 'linear', 'part', 'adapted', 'to', 'the', 'subinterval', 'and', 'its', 'corresponding', 'npnlinear', 'part', 'some', 'terms', 'resulting', 'from', 'this', 'decomposition', 'have', 'a', 'controlled', 'global', 'variation', 'and', 'other', 'terms', 'have', 'a', 'slow', 'local', 'variation']] | [-0.13619752266410604, 0.037326772951490124, -0.07243476596559925, 0.04901161098695663, -0.05838045238304031, -0.045028404826410566, -0.0002422525985054223, 0.3446554743379063, -0.3304245129048106, -0.2472532256113657, 0.19008359235447708, -0.27545342731278344, -0.07810285553148195, 0.1495278104985447, -0.037318254046770465, 0.029849843356298304, 0.04993104648563158, 0.0771709836834301, -0.07544567027544401, -0.2769688151395285, 0.28920016616178923, -0.05122069644191897, 0.22134410146994135, 0.04130568230210478, 0.15871553208415273, 0.020595197145075322, -0.021857082293963576, -0.019489955178606435, -0.16455455384699694, 0.0953531779449837, 0.1987196603812367, 0.10971876484880516, 0.28680398503699933, -0.44038153000467695, -0.1783189740233931, 0.16306846608486342, 0.1445150661663747, 0.08082272488264794, 0.029719234458226936, -0.2670487154679126, 0.08241409801664841, -0.11525788319757185, -0.13598528888121428, -0.07006927091538546, 0.0854751106172082, 0.04381960230958031, -0.2636330106172217, 0.0853568150546873, 0.060961780188807164, 0.017012754438377648, -0.13827103796044746, -0.09257767922862108, -0.021842309066195446, 0.13959678585068827, 0.0903711286738111, 0.06889758899763047, 0.05142063209899219, -0.06596346651989383, -0.035277614420481836, 0.3667668741510575, -0.09903141288423395, -0.2545536951335843, 0.14316577892974916, -0.12932533778654165, -0.11690020027390895, 0.11948001769606967, 0.16389816383416034, 0.12964428525911756, -0.13401331577775438, 0.10537724864966494, -0.047342854147848494, 0.1837078879463924, 0.09735102160463491, 0.04113296361314694, 0.12370198245822306, 0.1324511789239898, 0.16561781529741115, 0.1402620224580898, -0.05320204506173775, -0.07909226267183402, -0.3479905841894538, -0.16682824471275357, -0.18161945263799056, 0.06403601853122952, -0.1393483577303852, -0.1794402863471264, 0.4420889699046152, 0.08883567206864526, 0.2051004382489945, 0.10232823609138827, 0.2638223332981299, 0.20479514023446174, 0.06530857150139938, 0.07277506987034085, 0.16467672654782445, 0.08610251501864608, 0.1267084523429533, -0.21722491711927913, 0.04348412347418896, 0.11058776781905487] |
710.1116 | Radiative Penguin Decays | We discuss recent experimental studies of radiative penguin decays of B
mesons by the Belle and BaBar collaborations.
| hep-ex | we discuss recent experimental studies of radiative penguin decays of b mesons by the belle and babar collaborations | [['we', 'discuss', 'recent', 'experimental', 'studies', 'of', 'radiative', 'penguin', 'decays', 'of', 'b', 'mesons', 'by', 'the', 'belle', 'and', 'babar', 'collaborations']] | [-0.04578024104961918, 0.3168203483542634, 0.008408233626849122, 0.10796196106821299, -0.1661779246189528, -0.11835483394356237, 0.15188445909492052, 0.2820838112384081, -0.04848126735952166, -0.1334814764559269, -0.11052536799494798, -0.5200853746694823, -0.006402608058932755, 0.10749491552511851, 0.11671125557687548, 0.24269058069007265, 0.2888713056842486, -0.16049553340093958, -0.04412640346628097, -0.19950390172501406, 0.26671707236932385, 0.02947378262049622, 0.13638511018103194, 0.22632911428809166, -0.23058981841637027, -0.0757332460489124, -0.21523246619229516, -0.09628856761587991, -0.2121957878310544, 0.045799459227257304, 0.1718953393606676, 0.31626900916712153, 0.10558448690507147, -0.4116831174016827, 0.016508003955499992, 0.16732223331928253, 0.17599781980324122, 0.05876614981227451, -0.11643780483346847, -0.5789203287826644, 0.14214238182952008, -0.2500470800377015, 0.021064744408552844, -0.15732822199869487, 0.06272624251950118, -0.10817981361308032, -0.3925992902368307, 0.054239622162034117, -0.20270809256989095, 0.12655727891251445, -0.004223588336673047, -0.406348596016566, 0.05047161225229502, -0.053209231028126344, 0.16173826613359982, 0.12227035652742618, 0.2423729405272752, -0.18471992124492922, -0.36417361597220105, 0.28740568459033966, -0.0035646382926238906, -0.014337939520676931, 0.12834530168523392, -0.31808319669734275, -0.11790867988020182, 0.036741803917619914, 0.2108306105559071, -0.09695763803190655, -0.2091135643940005, 0.21539861605075808, -0.08601368301444584, 0.06444449484762219, 0.0708502328230275, 0.08751393070754905, 0.07420298053572576, 0.2740376414731145, -0.16749004546242455, 0.032652230519387454, -0.0028605939199527106, -0.033032403586225376, -0.46574583608243203, -0.050033949625988804, -0.03868393889731831, 0.062241314289470516, 0.06907598286327105, 0.012305946192807622, 0.388165430062347, 0.033304707457621895, 0.42803366089032757, -0.07645892791656984, 0.3637774247262213, -0.03745393972429964, 0.06442047593817632, 0.054454668670789234, 0.4347495536009471, 0.21399389270744804, 0.2556456822074122, -0.42823637711505097, -0.029301922244485468, 0.0062901246257954175] |
710.1117 | Topological spectrum of classical configurations | For any classical field configuration or mechanical system with a finite
number of degrees of freedom we introduce the concept of topological spectrum.
It is based upon the assumption that for any classical configuration there
exists a principle fiber bundle that contains all the physical and geometric
information of the configuration. The topological spectrum follows from the
investigation of the corresponding topological invariants. Examples are given
which illustrate the procedure and the significance of the topological spectrum
as a discretization relationship among the parameters that determine the
physical meaning of classical configurations.
| math-ph gr-qc math.MP | for any classical field configuration or mechanical system with a finite number of degrees of freedom we introduce the concept of topological spectrum it is based upon the assumption that for any classical configuration there exists a principle fiber bundle that contains all the physical and geometric information of the configuration the topological spectrum follows from the investigation of the corresponding topological invariants examples are given which illustrate the procedure and the significance of the topological spectrum as a discretization relationship among the parameters that determine the physical meaning of classical configurations | [['for', 'any', 'classical', 'field', 'configuration', 'or', 'mechanical', 'system', 'with', 'a', 'finite', 'number', 'of', 'degrees', 'of', 'freedom', 'we', 'introduce', 'the', 'concept', 'of', 'topological', 'spectrum', 'it', 'is', 'based', 'upon', 'the', 'assumption', 'that', 'for', 'any', 'classical', 'configuration', 'there', 'exists', 'a', 'principle', 'fiber', 'bundle', 'that', 'contains', 'all', 'the', 'physical', 'and', 'geometric', 'information', 'of', 'the', 'configuration', 'the', 'topological', 'spectrum', 'follows', 'from', 'the', 'investigation', 'of', 'the', 'corresponding', 'topological', 'invariants', 'examples', 'are', 'given', 'which', 'illustrate', 'the', 'procedure', 'and', 'the', 'significance', 'of', 'the', 'topological', 'spectrum', 'as', 'a', 'discretization', 'relationship', 'among', 'the', 'parameters', 'that', 'determine', 'the', 'physical', 'meaning', 'of', 'classical', 'configurations']] | [-0.180559566244483, 0.13099122429380455, -0.12068877357776965, 0.030727765397624233, -0.07163249999892128, -0.11477379415325982, 0.052512030782805676, 0.3031979515014783, -0.2659643225969099, -0.29807730282292416, 0.09488568714004941, -0.2450464844258259, -0.18990464023891432, 0.18828023123585255, -0.03903395360659646, 0.02183499952408728, 0.04122228848079786, 0.08167981585923015, -0.0764496132716253, -0.17317095247562975, 0.3905894927194585, -0.0011711727584833684, 0.2865660295052373, 0.02558221159447187, 0.13284739420708755, 0.03851295673318774, 0.011207862676161787, 0.04032978965298516, -0.14835342405350946, 0.11717698285761087, 0.18720135169670635, 0.1426304351416943, 0.2088867371658916, -0.3524731577515764, -0.2488708680536112, 0.11506892216351369, 0.053458100888351706, 0.1004377973111569, -0.006508644194463673, -0.2383436330128461, 0.11627633570005065, -0.14172125983801062, -0.1731786268241906, -0.07207848546829115, 0.0156792246334194, 0.014402403901128666, -0.20280635693495203, -0.0008302693477953258, 0.09482255431256541, 0.09977389574455826, -0.05216788186479117, -0.07454359977703501, -0.08096168034345559, 0.13693940218629153, 0.015726154394265588, -0.005734948279417079, 0.11714401384613113, -0.11916317274185333, -0.13881125006541287, 0.4116229232724594, -0.005334874974442241, -0.23476770841111633, 0.17548650167325675, -0.10787429887315501, -0.11763989476426302, 0.12499551002300628, 0.0768980069146694, 0.09053423975432373, -0.09097880452020984, 0.12131458184676772, -0.05342157257963782, 0.18439555380736355, 0.02419589618322156, 0.11654459401641203, 0.20976294577121735, 0.11205388121711819, 0.09379851294721922, 0.1514480300652592, -0.057791135997673417, -0.12515405721901712, -0.3782313850343875, -0.1873869694688398, -0.2158611530410227, 0.08019813268101247, -0.11632339534844505, -0.2005411321297288, 0.4430892093350058, 0.13472920266149627, 0.18275282541593618, 0.022119404119186347, 0.283240190387005, 0.11226365293512809, 0.05350901455233764, 0.04195480186836389, 0.22472632127692518, 0.15992925556012147, 0.03617835078266975, -0.1993229693110587, 0.019042707245756428, 0.09182152967981022] |
710.1118 | Status of the MILC light pseudoscalar meson project | We discuss the current status of our calculation of the physics of pi and K
mesons using three dynamical flavors of improved staggered quarks. This year,
we have a new ensemble with a lattice spacing of 0.06 fm and a light sea mass
of 0.2 m_s, as well as significant increases in statistics at several coarser
lattice spacings and/or heavier sea masses. Results for decay constants, quark
masses, low energy constants, condensates, and V_{us} are presented.
| hep-lat | we discuss the current status of our calculation of the physics of pi and k mesons using three dynamical flavors of improved staggered quarks this year we have a new ensemble with a lattice spacing of 006 fm and a light sea mass of 02 m_s as well as significant increases in statistics at several coarser lattice spacings andor heavier sea masses results for decay constants quark masses low energy constants condensates and v_us are presented | [['we', 'discuss', 'the', 'current', 'status', 'of', 'our', 'calculation', 'of', 'the', 'physics', 'of', 'pi', 'and', 'k', 'mesons', 'using', 'three', 'dynamical', 'flavors', 'of', 'improved', 'staggered', 'quarks', 'this', 'year', 'we', 'have', 'a', 'new', 'ensemble', 'with', 'a', 'lattice', 'spacing', 'of', '006', 'fm', 'and', 'a', 'light', 'sea', 'mass', 'of', '02', 'm_s', 'as', 'well', 'as', 'significant', 'increases', 'in', 'statistics', 'at', 'several', 'coarser', 'lattice', 'spacings', 'andor', 'heavier', 'sea', 'masses', 'results', 'for', 'decay', 'constants', 'quark', 'masses', 'low', 'energy', 'constants', 'condensates', 'and', 'v_us', 'are', 'presented']] | [-0.09483776379401158, 0.37254885336580246, -0.048959735682920405, 0.10474325501893059, 0.02459142737911622, -0.08822949953824527, 0.14510330609291008, 0.36181279859125715, -0.15975361159929125, -0.3133563028409538, 0.06161838121203657, -0.3343399634560276, 0.03591337709344531, 0.13572193693222576, 0.04420530545451727, 0.08643636210380416, 0.09815221808936545, -0.007984988201458595, -0.1455403921059578, -0.23210977421044127, 0.2803107900299916, -0.015490267174563518, 0.21326015990129427, 0.18767676171601602, 0.02863750771594871, -0.034488911921231956, -0.020029190713294634, -0.0875626758421085, -0.1413515986151699, 0.04826597473660704, 0.1312658875180396, -0.0015531832560602772, 0.1460493417750848, -0.316926333955244, -0.1501193981660579, 0.040572078665718436, 0.1584004644751794, 0.11263529118150473, -0.03533641133751524, -0.24969979239578702, 0.0793840900725244, -0.19632018397954343, -0.20676417843634753, -0.10744324737645097, -0.003643301027630897, -0.01811830208661329, -0.32546236987323746, 0.1346113173180799, -0.06402620818430717, 0.13230929239407965, -0.020670462228161723, -0.3618411092626813, -0.04489890231726397, 0.09137051038468551, 0.11857783362900495, 0.09150704035020776, 0.12025947274493151, -0.10866149161684964, -0.12760474224954746, 0.4531268681840677, -0.10943532499061946, -0.1323155551110272, 0.15533649267040586, -0.17208122544137663, -0.13061737056743464, 0.09363576014967341, 0.235081734414531, 0.054795508346471344, -0.14704587608943448, 0.038081661529615396, -0.05248592392002281, 0.2314448041449252, 0.08062524835603606, 0.08121802697056218, 0.2796858106494734, 0.2467242469153318, -0.02049232370183362, -0.0011065262400447146, -0.0667353137243098, -0.09896183250422932, -0.2863165588779865, -0.07085074057900592, -0.13776550358957856, 0.07485179246501311, -0.15636779844556403, -0.09913663679770635, 0.4052080419956167, 0.10504361077849018, 0.23266898871301428, 0.034008631476593255, 0.27599680659018067, 0.05448755257193146, 0.07251752938732113, 0.043262478956756625, 0.24494566101776927, 0.1957221144908353, 0.1375541155790224, -0.2710130373261085, -0.13388627886429036, 0.0675514378266311] |
710.1119 | Proper Mass Variation under Gravitational and Coulomb Force Action in
Relativistic Mechanics of Point Particle | The problem studied is formulated in the title: proper mass variation under
gravitational and Coulomb force action in Relativistic Mechanics of point
particle. The novelty is that equations of motion are obtained in the
relativistic Lagrangean framework for conservative force fields under
assumption of field dependent proper mass. The dependence of proper mass on
field strength is derived from the equations of particle motion. The result is
the elimination of a classical 1/r divergence. It is shown that a photon in a
gravitational field may be described in terms of a refracting massless medium.
This makes the gravity phenomenon compatible with SR Dynamic framework. New
results concerning gravitational properties of particle and photon, as well as
an experimental test of predicted deviation from 1/r^2 classical Coulomb force
law are discussed. The conclusion is made that the approach of field-dependent
proper mass is perspective for better understanding GR problems and further
studies on divergence-free field theory development.
Key words: Relativity; gravity; Coulomb; particle; photon; speed of light;
proper mass variation.
PACS: 03.30.+p, 04.20.-g
| physics.gen-ph | the problem studied is formulated in the title proper mass variation under gravitational and coulomb force action in relativistic mechanics of point particle the novelty is that equations of motion are obtained in the relativistic lagrangean framework for conservative force fields under assumption of field dependent proper mass the dependence of proper mass on field strength is derived from the equations of particle motion the result is the elimination of a classical 1r divergence it is shown that a photon in a gravitational field may be described in terms of a refracting massless medium this makes the gravity phenomenon compatible with sr dynamic framework new results concerning gravitational properties of particle and photon as well as an experimental test of predicted deviation from 1r2 classical coulomb force law are discussed the conclusion is made that the approach of fielddependent proper mass is perspective for better understanding gr problems and further studies on divergencefree field theory development key words relativity gravity coulomb particle photon speed of light proper mass variation pacs 0330p 0420g | [['the', 'problem', 'studied', 'is', 'formulated', 'in', 'the', 'title', 'proper', 'mass', 'variation', 'under', 'gravitational', 'and', 'coulomb', 'force', 'action', 'in', 'relativistic', 'mechanics', 'of', 'point', 'particle', 'the', 'novelty', 'is', 'that', 'equations', 'of', 'motion', 'are', 'obtained', 'in', 'the', 'relativistic', 'lagrangean', 'framework', 'for', 'conservative', 'force', 'fields', 'under', 'assumption', 'of', 'field', 'dependent', 'proper', 'mass', 'the', 'dependence', 'of', 'proper', 'mass', 'on', 'field', 'strength', 'is', 'derived', 'from', 'the', 'equations', 'of', 'particle', 'motion', 'the', 'result', 'is', 'the', 'elimination', 'of', 'a', 'classical', '1r', 'divergence', 'it', 'is', 'shown', 'that', 'a', 'photon', 'in', 'a', 'gravitational', 'field', 'may', 'be', 'described', 'in', 'terms', 'of', 'a', 'refracting', 'massless', 'medium', 'this', 'makes', 'the', 'gravity', 'phenomenon', 'compatible', 'with', 'sr', 'dynamic', 'framework', 'new', 'results', 'concerning', 'gravitational', 'properties', 'of', 'particle', 'and', 'photon', 'as', 'well', 'as', 'an', 'experimental', 'test', 'of', 'predicted', 'deviation', 'from', '1r2', 'classical', 'coulomb', 'force', 'law', 'are', 'discussed', 'the', 'conclusion', 'is', 'made', 'that', 'the', 'approach', 'of', 'fielddependent', 'proper', 'mass', 'is', 'perspective', 'for', 'better', 'understanding', 'gr', 'problems', 'and', 'further', 'studies', 'on', 'divergencefree', 'field', 'theory', 'development', 'key', 'words', 'relativity', 'gravity', 'coulomb', 'particle', 'photon', 'speed', 'of', 'light', 'proper', 'mass', 'variation', 'pacs', '0330p', '0420g']] | [-0.12366833441314827, 0.1551555203096376, -0.12102894770248374, 0.093863873523306, -0.09009125432250095, -0.10217734163202215, -0.028584272470679243, 0.3278774632255367, -0.23365656348293898, -0.30729762933418503, -0.007614761117807649, -0.23005955760252841, -0.10709462072482409, 0.22471136939664213, -0.07746013887880142, 0.04917391421060944, 0.05265055174329345, 0.05976849889153974, -0.042182413802607455, -0.1807994998076506, 0.3196514082625944, 0.0705629015793787, 0.24905215735323946, 0.0711808873208414, 0.13569818481214738, 0.04174267851382668, -0.03897283306040349, 0.08590654636684217, -0.10757699561755858, 0.036300101066253296, 0.1475942672981897, 0.07144860071484109, 0.2437472131446396, -0.3838614452063863, -0.24512292866524288, 0.037293623699888326, 0.09362031918084412, 0.1250075749148838, -0.07544945231747775, -0.28481050780075684, 0.020993563450045057, -0.15365235869669253, -0.20191026056983252, -0.02996361610746523, 0.03934273204619163, 0.01333136212459237, -0.27399039002031916, 0.13496611735848874, 0.054934719404510675, 0.04366874029674044, -0.10153640553420573, -0.09897182197160256, 0.010974429889543974, 0.050729761790274504, 0.13377589251633668, 0.09525304812153704, 0.19848939415669253, -0.1654990288491595, -0.10504788095648918, 0.4635379798928199, -0.09690146832808591, -0.21346636744355987, 0.14927899725163324, -0.15280511960038665, -0.1051666237310403, 0.140198031552027, 0.1295535801446926, 0.127414460719656, -0.1970363727019152, 0.13403864110121674, -0.02951541493377207, 0.13764947493869012, 0.08644175985882506, 0.05088829246692752, 0.24010286634864167, 0.13823659785503076, 0.03515176410236728, 0.0594944007189574, -0.07089166077158866, -0.1325554262645194, -0.3491827536221833, -0.1470016819419481, -0.1814794048383745, 0.06100228353681272, -0.11584992526748901, -0.15334272086235684, 0.3194910204254175, 0.13049966203626137, 0.08846893535153559, 0.02303408889633696, 0.2810848102392901, 0.14427911933056728, 0.05083394657591717, 0.02488088981951015, 0.3272026694101984, 0.19992571602689854, 0.09118813369695468, -0.2471035089322001, -0.02848432659394821, 0.09380041627207912] |
710.112 | Iterated distributive laws | We give a framework for combining $n$ monads on the same category via
distributive laws satisfying Yang-Baxter equations, extending the classical
result of Barr and Wells which combines two monads via one distributive law. We
show that this corresponds to iterating $n$-times the process of taking the
2-category of monads in a 2-category, extending the result of Street
characterising distributive laws. We show that this framework can be used to
construct the free strict $n$-category monad on $n$-dimensional globular sets;
we first construct for each $i$ a monad for composition along bounding
$i$-cells, and then we show that the interchange laws define distributive laws
between these monads, satisfying the necessary Yang-Baxter equations.
| math.CT | we give a framework for combining n monads on the same category via distributive laws satisfying yangbaxter equations extending the classical result of barr and wells which combines two monads via one distributive law we show that this corresponds to iterating ntimes the process of taking the 2category of monads in a 2category extending the result of street characterising distributive laws we show that this framework can be used to construct the free strict ncategory monad on ndimensional globular sets we first construct for each i a monad for composition along bounding icells and then we show that the interchange laws define distributive laws between these monads satisfying the necessary yangbaxter equations | [['we', 'give', 'a', 'framework', 'for', 'combining', 'n', 'monads', 'on', 'the', 'same', 'category', 'via', 'distributive', 'laws', 'satisfying', 'yangbaxter', 'equations', 'extending', 'the', 'classical', 'result', 'of', 'barr', 'and', 'wells', 'which', 'combines', 'two', 'monads', 'via', 'one', 'distributive', 'law', 'we', 'show', 'that', 'this', 'corresponds', 'to', 'iterating', 'ntimes', 'the', 'process', 'of', 'taking', 'the', '2category', 'of', 'monads', 'in', 'a', '2category', 'extending', 'the', 'result', 'of', 'street', 'characterising', 'distributive', 'laws', 'we', 'show', 'that', 'this', 'framework', 'can', 'be', 'used', 'to', 'construct', 'the', 'free', 'strict', 'ncategory', 'monad', 'on', 'ndimensional', 'globular', 'sets', 'we', 'first', 'construct', 'for', 'each', 'i', 'a', 'monad', 'for', 'composition', 'along', 'bounding', 'icells', 'and', 'then', 'we', 'show', 'that', 'the', 'interchange', 'laws', 'define', 'distributive', 'laws', 'between', 'these', 'monads', 'satisfying', 'the', 'necessary', 'yangbaxter', 'equations']] | [-0.10375692760239222, 0.06552502732249975, -0.07675188772139206, 0.10596433735146807, -0.1183260619873181, -0.16891564457494365, 0.050496138713372475, 0.3370210473575363, -0.4069691206968855, -0.19063194423298618, 0.021598446744194786, -0.20503257607508982, -0.11121964130558938, 0.16628746104626252, -0.1697826035171082, -0.024349924638434977, 0.034791076304827584, 0.013029093812552415, -0.05526911629671564, -0.21357272015302442, 0.4454242862494929, -0.056830423551478555, 0.26619575729793205, -0.0010702139295192734, 0.17938274475662702, -0.013017129077135385, -0.00691827609054079, 0.03209150800414916, -0.20416697232154288, 0.11941443774516561, 0.2544339432913278, 0.1285366329372794, 0.18940081340614207, -0.4290390746734504, -0.0767715015473576, 0.13130507842288353, 0.10876918482660715, 0.04664192225131306, -0.0028465752069938128, -0.3059747119467439, 0.10058837684586511, -0.23737205023228722, -0.09486774817092478, -0.09364480327349156, 0.05365302454447374, 0.07126640973313313, -0.29685756035282146, -0.02727955933992884, 0.1694637227005192, 0.07923357777430542, -0.1310715127910953, -0.04765294287686369, -0.04838975944273573, 0.10647865516771812, -0.0764844338121163, -0.042121708542773764, 0.10691003300598823, -0.04448219975217528, -0.17300463430832938, 0.38579634825250003, -0.025381012736553594, -0.20087670295574103, 0.1330380645979728, -0.0979743645792561, -0.19162985762315138, 0.057918322486719784, 0.034878011355301296, 0.11181981610187515, -0.10698524496235352, 0.17643823642512352, -0.155135797236913, 0.10668426725273353, 0.13636263245384075, 0.02567479614351344, 0.16862787707941607, 0.11881373700452968, 0.0803542294556142, 0.17142038697472475, 0.0685929135194913, -0.13999626430450007, -0.3826622542526041, -0.17237808886316738, -0.061061452562820966, 0.1375204272231453, -0.08386116913892952, -0.16032125015044585, 0.30474571947706863, 0.156110513605589, 0.16133988030196633, 0.22076678732680324, 0.21952518516211836, 0.1110828066344506, 0.09816207250072953, 0.04517331398684681, 0.14153188979668943, 0.20500681126473605, 0.07930738620676234, -0.10200893772084133, -0.026149733108468354, 0.2569378836778924] |
710.1121 | The kaon B-parameter from unquenched mixed action lattice QCD | We present a preliminary calculation of B_K using domain-wall valence quarks
and 2+1 flavors of improved staggered sea quarks. Both the size of the residual
quark mass, which measures the amount of chiral symmetry breaking, and of the
mixed meson splitting Delta_mix, a measure of taste-symmetry breaking, show
that discretization effects are under control in our mixed action lattice
simulations. We show preliminary data for pseudoscalar meson masses, decay
constants and B_K. We discuss general issues associated with the chiral
extrapolation of lattice data, and, as an example, present a preliminary chiral
and continuum extrapolation of f_pi. The quality of our data shows that the
good chiral properties of domain-wall quarks, in combination with the light sea
quark masses and multiple lattice spacings available with the MILC staggered
configurations, will allow for a precise determination of B_K.
| hep-lat | we present a preliminary calculation of b_k using domainwall valence quarks and 21 flavors of improved staggered sea quarks both the size of the residual quark mass which measures the amount of chiral symmetry breaking and of the mixed meson splitting delta_mix a measure of tastesymmetry breaking show that discretization effects are under control in our mixed action lattice simulations we show preliminary data for pseudoscalar meson masses decay constants and b_k we discuss general issues associated with the chiral extrapolation of lattice data and as an example present a preliminary chiral and continuum extrapolation of f_pi the quality of our data shows that the good chiral properties of domainwall quarks in combination with the light sea quark masses and multiple lattice spacings available with the milc staggered configurations will allow for a precise determination of b_k | [['we', 'present', 'a', 'preliminary', 'calculation', 'of', 'b_k', 'using', 'domainwall', 'valence', 'quarks', 'and', '21', 'flavors', 'of', 'improved', 'staggered', 'sea', 'quarks', 'both', 'the', 'size', 'of', 'the', 'residual', 'quark', 'mass', 'which', 'measures', 'the', 'amount', 'of', 'chiral', 'symmetry', 'breaking', 'and', 'of', 'the', 'mixed', 'meson', 'splitting', 'delta_mix', 'a', 'measure', 'of', 'tastesymmetry', 'breaking', 'show', 'that', 'discretization', 'effects', 'are', 'under', 'control', 'in', 'our', 'mixed', 'action', 'lattice', 'simulations', 'we', 'show', 'preliminary', 'data', 'for', 'pseudoscalar', 'meson', 'masses', 'decay', 'constants', 'and', 'b_k', 'we', 'discuss', 'general', 'issues', 'associated', 'with', 'the', 'chiral', 'extrapolation', 'of', 'lattice', 'data', 'and', 'as', 'an', 'example', 'present', 'a', 'preliminary', 'chiral', 'and', 'continuum', 'extrapolation', 'of', 'f_pi', 'the', 'quality', 'of', 'our', 'data', 'shows', 'that', 'the', 'good', 'chiral', 'properties', 'of', 'domainwall', 'quarks', 'in', 'combination', 'with', 'the', 'light', 'sea', 'quark', 'masses', 'and', 'multiple', 'lattice', 'spacings', 'available', 'with', 'the', 'milc', 'staggered', 'configurations', 'will', 'allow', 'for', 'a', 'precise', 'determination', 'of', 'b_k']] | [-0.1143865254473954, 0.3074361260507271, -0.09988440614003334, 0.0689748971192778, -0.03970877835391103, -0.06493889653280269, 0.12174968927398487, 0.397318171310055, -0.1547484123419943, -0.23524377591581674, 0.06887635292594124, -0.28770500289303436, -0.027212789193829044, 0.07846839819443378, 0.03473297892695796, 0.11979089087269602, 0.12891529132119198, -0.014477771021983159, -0.13686431282927303, -0.206670576551025, 0.33211607546001726, -0.04847374915682377, 0.26379302533574567, 0.19995950713853972, 0.02533627573288569, -0.004130966179616695, -0.04474486718566096, -0.07893395016690458, -0.10735433942004852, 0.09178766753077575, 0.10092217317696518, 0.0020084719438731237, 0.09769914840368459, -0.362804681429789, -0.18192368004994508, 0.04112552927915741, 0.12922497813922973, 0.13783971568226244, -0.07479681722466311, -0.2999680590846433, 0.0892825798814722, -0.17818606668661763, -0.2105745244839222, -0.17742506590719423, -0.044601159659724166, -0.04056215147576193, -0.39607239545180195, 0.0708321510358666, -0.0667841717716388, 0.127115613978057, -0.02336227380922132, -0.29044224252077977, -0.06507692487067442, 0.10308288890327987, 0.11159796450443457, 0.08650552095287908, 0.09816115584146286, -0.15094056744876244, -0.16372682590608614, 0.46787390013626456, -0.09273781008970836, -0.1904226713847831, 0.0993869622088425, -0.14017094202665953, -0.15890130316702664, 0.07205591606737598, 0.2071080911483099, 0.06926167474373034, -0.13595064051354128, 0.06428632897369047, -0.09997334945810972, 0.23159338422051637, 0.05235716523126747, 0.05651145150254474, 0.22921212054925025, 0.20194745880898332, 0.00716523584114374, 0.0769999932164639, -0.05256493928473457, -0.11530682163816082, -0.3595141016025892, -0.058032037421761856, -0.15368859080876476, 0.07271204321869533, -0.15347249158696327, -0.14733036665626578, 0.40747438025844357, 0.1289031315479346, 0.17726321544593376, 0.02689261122243003, 0.27229288057933976, 0.04144648701227848, 0.09388002683323583, 0.054401885378208475, 0.21256930590437276, 0.16945207345360605, 0.10503454208306044, -0.3592703945282167, -0.1422914606417074, 0.10132984331312732] |
710.1122 | Sleuthing Hidden Order | Physicists have long debated whether the hidden order in URu2Si2 is itinerant
or localized, and it remains inaccessible to direct external probes. Recent
observation of an overdamped collective mode in this material (C. Weibe et al,
Nature Physics 3, 96-100 (2007)), appears to resolve this outstanding issue.
| cond-mat.str-el cond-mat.supr-con | physicists have long debated whether the hidden order in uru2si2 is itinerant or localized and it remains inaccessible to direct external probes recent observation of an overdamped collective mode in this material c weibe et al nature physics 3 96100 2007 appears to resolve this outstanding issue | [['physicists', 'have', 'long', 'debated', 'whether', 'the', 'hidden', 'order', 'in', 'uru2si2', 'is', 'itinerant', 'or', 'localized', 'and', 'it', 'remains', 'inaccessible', 'to', 'direct', 'external', 'probes', 'recent', 'observation', 'of', 'an', 'overdamped', 'collective', 'mode', 'in', 'this', 'material', 'c', 'weibe', 'et', 'al', 'nature', 'physics', '3', '96100', '2007', 'appears', 'to', 'resolve', 'this', 'outstanding', 'issue']] | [-0.1502681343241575, 0.21112268881041288, -0.043217650079663765, 0.06594157728931292, -0.16103713947566264, -0.17725433306174077, 0.06068886618347878, 0.3497450183680717, -0.28908472109903044, -0.3846430564101072, 0.06223536734072928, -0.28837348679278757, -0.11815377820699298, 0.07655097105778119, -0.04989360096527541, 0.03354925271916263, -0.024257173801356172, -0.057826515138545566, 0.0320776931822617, -0.2578221668806323, 0.1885513396453152, 0.1078000183197412, 0.2780355974794068, 0.058693969042654684, 0.05123586703012598, -0.004649586668436198, -0.028457636271226914, -0.05798803494767623, -0.14001189824193716, 0.04563792134100135, 0.29468141353510796, 0.003841828651468646, 0.303269105804886, -0.4039622028853665, -0.2446863781066334, 0.06204117332991371, 0.16399859269694525, 0.12334821605064133, -0.04130439318597634, -0.2775493898315038, -0.0012660796972031288, -0.1351107316527595, -0.19388634658002474, -0.08831296207171498, 0.10727457789347526, -0.12235504134677033, -0.1727359683668994, 0.15163854074396907, 0.10867777024891148, 0.05839203449927191, -0.015525613376434813, -0.0650843054804198, 0.07418464762257769, 0.059270540316727884, 0.07953994348892902, 0.10521416446352576, 0.06342475605692635, -0.13800646607427203, -0.15073347690099098, 0.32355038193549884, 0.01002286599225741, -0.07352420893755365, 0.31081383806118307, -0.14730576277175483, -0.16351733245748154, 0.1134122531474667, 0.1065755114823139, 0.10419015551203901, -0.1361777013739908, 0.13268062503924197, -0.08583821483114933, 0.2086054308221061, 0.0422203829326231, 0.05638824876873417, 0.2865877350039305, 0.19973378580935458, -0.05314420278560608, 0.03814181230684861, -0.05312199981764276, -0.06165007216127669, -0.18934086946017564, -0.11593949761702382, -0.2203636826059355, 0.10178929791250761, 0.09729180468507656, -0.1560381034270246, 0.341208981201449, 0.18663533584789394, 0.16482047901112348, -0.18599176145297416, 0.22943369976859143, 0.030241751904658814, -0.03686747595697562, 0.08192983173586904, 0.3255977562450348, 0.16180411111959753, 0.15936686813910592, -0.22563797937943897, 0.08845981784372967, 0.004500785376876593] |
710.1123 | Clouds, Gravity and Metallicity in Blue L dwarfs: The Case of 2MASS
J11263991-5003550 | Optical and near-infrared spectroscopy of the newly discovered peculiar L
dwarf 2MASS J11263991-5003550 are presented. Folkes et al. identified this
source as a high proper motion L9+/-1 dwarf based on its strong H2O absorption
at 1.4 micron. We find that the optical spectrum of 2MASS J1126-5003 is in fact
consistent with that of a normal L4.5 dwarf with notably enhanced FeH
absorption at 9896 A. However, its near-infrared spectrum is unusually blue,
with strong H2O and weak CO bands similar in character to several recently
identified ``blue L dwarfs''. Using 2MASS J1126-5003 as a case study, and
guided by trends in the condensate cloud models of Burrows et al. and Marley et
al., we find that the observed spectral peculiarities of these sources can be
adequately explained by the presence of thin and/or large-grained condensate
clouds as compared to normal field L dwarfs. Atypical surface gravities or
metallicities alone cannot reproduce the observed peculiarities, although they
may be partly responsible for the unusual condensate properties. We also rule
out unresolved multiplicity as a cause for the spectral peculiarities of 2MASS
J1126-5003. Our analysis is supported by examination of Spitzer mid-infrared
spectral data from Cushing et al. which show that bluer L dwarfs tend to have
weaker 10 micron absorption, a feature tentatively associated with silicate
oxide grains. With their unique spectral properties, blue L dwarfs like 2MASS
J1126-5003 should prove useful in studying the formation and properties of
condensates and condensate clouds in low temperature atmospheres.
| astro-ph | optical and nearinfrared spectroscopy of the newly discovered peculiar l dwarf 2mass j112639915003550 are presented folkes et al identified this source as a high proper motion l91 dwarf based on its strong h2o absorption at 14 micron we find that the optical spectrum of 2mass j11265003 is in fact consistent with that of a normal l45 dwarf with notably enhanced feh absorption at 9896 a however its nearinfrared spectrum is unusually blue with strong h2o and weak co bands similar in character to several recently identified blue l dwarfs using 2mass j11265003 as a case study and guided by trends in the condensate cloud models of burrows et al and marley et al we find that the observed spectral peculiarities of these sources can be adequately explained by the presence of thin andor largegrained condensate clouds as compared to normal field l dwarfs atypical surface gravities or metallicities alone cannot reproduce the observed peculiarities although they may be partly responsible for the unusual condensate properties we also rule out unresolved multiplicity as a cause for the spectral peculiarities of 2mass j11265003 our analysis is supported by examination of spitzer midinfrared spectral data from cushing et al which show that bluer l dwarfs tend to have weaker 10 micron absorption a feature tentatively associated with silicate oxide grains with their unique spectral properties blue l dwarfs like 2mass j11265003 should prove useful in studying the formation and properties of condensates and condensate clouds in low temperature atmospheres | [['optical', 'and', 'nearinfrared', 'spectroscopy', 'of', 'the', 'newly', 'discovered', 'peculiar', 'l', 'dwarf', '2mass', 'j112639915003550', 'are', 'presented', 'folkes', 'et', 'al', 'identified', 'this', 'source', 'as', 'a', 'high', 'proper', 'motion', 'l91', 'dwarf', 'based', 'on', 'its', 'strong', 'h2o', 'absorption', 'at', '14', 'micron', 'we', 'find', 'that', 'the', 'optical', 'spectrum', 'of', '2mass', 'j11265003', 'is', 'in', 'fact', 'consistent', 'with', 'that', 'of', 'a', 'normal', 'l45', 'dwarf', 'with', 'notably', 'enhanced', 'feh', 'absorption', 'at', '9896', 'a', 'however', 'its', 'nearinfrared', 'spectrum', 'is', 'unusually', 'blue', 'with', 'strong', 'h2o', 'and', 'weak', 'co', 'bands', 'similar', 'in', 'character', 'to', 'several', 'recently', 'identified', 'blue', 'l', 'dwarfs', 'using', '2mass', 'j11265003', 'as', 'a', 'case', 'study', 'and', 'guided', 'by', 'trends', 'in', 'the', 'condensate', 'cloud', 'models', 'of', 'burrows', 'et', 'al', 'and', 'marley', 'et', 'al', 'we', 'find', 'that', 'the', 'observed', 'spectral', 'peculiarities', 'of', 'these', 'sources', 'can', 'be', 'adequately', 'explained', 'by', 'the', 'presence', 'of', 'thin', 'andor', 'largegrained', 'condensate', 'clouds', 'as', 'compared', 'to', 'normal', 'field', 'l', 'dwarfs', 'atypical', 'surface', 'gravities', 'or', 'metallicities', 'alone', 'can', 'not', 'reproduce', 'the', 'observed', 'peculiarities', 'although', 'they', 'may', 'be', 'partly', 'responsible', 'for', 'the', 'unusual', 'condensate', 'properties', 'we', 'also', 'rule', 'out', 'unresolved', 'multiplicity', 'as', 'a', 'cause', 'for', 'the', 'spectral', 'peculiarities', 'of', '2mass', 'j11265003', 'our', 'analysis', 'is', 'supported', 'by', 'examination', 'of', 'spitzer', 'midinfrared', 'spectral', 'data', 'from', 'cushing', 'et', 'al', 'which', 'show', 'that', 'bluer', 'l', 'dwarfs', 'tend', 'to', 'have', 'weaker', '10', 'micron', 'absorption', 'a', 'feature', 'tentatively', 'associated', 'with', 'silicate', 'oxide', 'grains', 'with', 'their', 'unique', 'spectral', 'properties', 'blue', 'l', 'dwarfs', 'like', '2mass', 'j11265003', 'should', 'prove', 'useful', 'in', 'studying', 'the', 'formation', 'and', 'properties', 'of', 'condensates', 'and', 'condensate', 'clouds', 'in', 'low', 'temperature', 'atmospheres']] | [-0.02817757782759145, 0.10665387734169614, -0.09081617782663431, 0.07047321082027934, -0.12091359442775519, -0.11053007080021207, 0.07326112122591738, 0.4452588500561895, -0.16417706218074823, -0.3326682671255692, 0.02323339553048918, -0.29414259269070187, -0.09650366026498439, 0.1671366029577406, -0.0885019932327731, -0.039257955174896955, 0.03689641234957323, -0.14080168637561566, -0.0012794667936014165, -0.24972738888110874, 0.28104733942137633, 0.05845644203258953, 0.1779893264155377, -0.016704721799259623, -0.012540576000007053, -0.09770637235726368, -0.08628841335350862, 0.009225184570704053, -0.1531259956285138, 0.005855581001760286, 0.23544204535152008, 0.023974580922141123, 0.1762566266516529, -0.3123898836001601, -0.25100999989939976, 0.06654686259953152, 0.18579873315356366, 0.02786420771354031, -0.051670931406093946, -0.29456043701197143, 0.09436352166705517, -0.13327709211944985, -0.19357479008470022, -0.017053212047283554, 0.09473954201208382, 0.051709898898748254, -0.23003646153427057, 0.11306190890244296, 0.0829885039613563, 0.1412097496957686, -0.1318932267652107, -0.1700734939888028, -0.14412150951006952, 0.00562661613450294, -0.046925438415320195, 0.05103189990088557, 0.11888192385624995, -0.11199389575106534, -0.031461572228762946, 0.38653413184964264, -0.15083928050408446, 0.04302599855897124, 0.2669307251105879, -0.1499390176050823, -0.15895499081492087, 0.15661811295950562, 0.08397459288768959, 0.1228740941933509, -0.15906127843410386, 0.03667483336283142, -0.04495029454501193, 0.17968111205082693, 0.0717821619683327, 0.13518273513038934, 0.3254030361679978, 0.08249107281809585, -0.02630627910763056, 0.07910422927062562, -0.2252609601817342, 0.0009801661467836163, -0.2020690198529695, -0.1099679905436475, -0.17407959067552795, 0.06757579997453131, -0.06875369209974153, -0.1456220492118966, 0.3037540244862254, 0.1064705395251398, 0.2447718142982206, -0.019987329792471784, 0.27946883992036253, 0.10091640815743795, 0.12057170581996257, 0.10593304880627538, 0.29628091581074184, 0.16496070932127443, 0.11931878639883448, -0.2518086373361331, 0.047837917353255585, -0.0015627516330540424] |
710.1124 | Apostol-Bernoulli functions, derivative polynomials and Eulerian
polynomials | This is a short survey of a class of functions introduces by Tom Apostol. The
survey is focused on their relation to Eulerian polynomials, derivative
polynomials, and also on some integral representations.
| math.CA math.NT | this is a short survey of a class of functions introduces by tom apostol the survey is focused on their relation to eulerian polynomials derivative polynomials and also on some integral representations | [['this', 'is', 'a', 'short', 'survey', 'of', 'a', 'class', 'of', 'functions', 'introduces', 'by', 'tom', 'apostol', 'the', 'survey', 'is', 'focused', 'on', 'their', 'relation', 'to', 'eulerian', 'polynomials', 'derivative', 'polynomials', 'and', 'also', 'on', 'some', 'integral', 'representations']] | [-0.2052480853162706, 0.0565179327968508, -0.13103453161238576, 0.09347162164704059, -0.23139545670710504, -0.039897447131806985, 0.010183389764279127, 0.35106367320986465, -0.27276266273111105, -0.23628263652790338, 0.13285833744885167, -0.2714279268402606, -0.19086786115076393, 0.2182479296461679, -0.09905923280166462, -0.0007350001687882468, 0.020887985941953957, -0.0019538563792593777, -0.0928041762454086, -0.31239597708918154, 0.371449165744707, 0.03646177506016102, 0.18074362457264215, 0.03653346456121653, 0.16562134641571902, -0.011041923207812943, -0.14456184873415623, -0.057211529347114265, -0.1600309573695995, 0.18735029399977066, 0.2340843725251034, 0.15111513780720998, 0.3015211141828331, -0.30994682176969945, -0.11326805772841908, 0.09643912894534878, 0.11893049854552373, 0.029886885778978467, -0.010513545195863117, -0.283826622297056, 0.045109812868759036, -0.16692443564534187, -0.11268075452244375, -0.04777973500313237, 0.0459759258228587, 0.1851646670838818, -0.2013452650862746, 0.035861776667843515, 0.07072960212826729, 0.18592900614021346, -0.014052654500119388, -0.1487776132998988, 0.08256549276120495, 0.005425031350910103, -0.03414471972791944, 0.07474997029930819, -0.008621951317763887, -0.1722015271006967, -0.06251755898119882, 0.3731382800906431, -0.028054443770088255, -0.26440879877191037, 0.13437832123599946, -0.14456421522481833, -0.22506995545700192, 0.05802910352321078, 0.13378688861848786, 0.192087113391608, -0.14604545157635584, 0.11928081515179656, -0.10545301283127628, 0.09500802626644145, 0.08894382044672966, 0.0012933122925460339, 0.19261594099225476, 0.032267161397612654, 0.060278516029939055, 0.2087654312781524, -0.0013822872278979048, -0.08592507358116563, -0.305004502995871, -0.13973144331248477, -0.18626228448556503, 0.05535128904739395, -0.05401061101247251, -0.17335578717757016, 0.468054830795154, 0.08882372628431767, 0.13841891039919574, 0.1810578114236705, 0.22772264713421464, 0.12231778679415584, 0.09237748232408194, -0.031122691681957804, 0.1127438417652229, 0.17946037557703676, 0.1222092728712596, -0.13240028935251758, 0.06240944430464879, 0.23399483994580805] |
710.1125 | Frontier at your fingertips | Between the nano- and micrometre scales, the collective behaviour of matter
can give rise to startling emergent properties that hint at the nexus between
biology and physics.
| cond-mat.str-el cond-mat.soft cond-mat.stat-mech | between the nano and micrometre scales the collective behaviour of matter can give rise to startling emergent properties that hint at the nexus between biology and physics | [['between', 'the', 'nano', 'and', 'micrometre', 'scales', 'the', 'collective', 'behaviour', 'of', 'matter', 'can', 'give', 'rise', 'to', 'startling', 'emergent', 'properties', 'that', 'hint', 'at', 'the', 'nexus', 'between', 'biology', 'and', 'physics']] | [-0.09382981089530168, 0.24120343255775947, -0.18392311314258863, 0.08538633740196626, -0.09405296371766815, -0.14437881265594452, -0.026241855609610124, 0.2606435782379574, -0.29438676215984205, -0.46327203346623314, -0.043037745670449955, -0.30659231819488386, -0.20597551052493077, 0.18818431902952767, 0.06699530497469285, -0.10290577435107143, -0.06807782093959826, -0.047095245095314806, -0.04913334982228224, -0.13106938396339063, 0.21474028226953965, 0.10825075195343406, 0.2903775400309651, 0.16310501754007958, 0.11241573536837543, -0.07580926119246417, 0.03092681471672323, 0.0010748663917183876, -0.1536390413112477, 0.10114211554604548, 0.26959148656438897, 0.07304714692549573, 0.19753774931585347, -0.4706027877551538, -0.1835286080431952, 0.09367248854013505, 0.16892200675620525, 0.11538699828088284, -0.06075510837965541, -0.2623256493911699, 0.01417725195211393, -0.07575165649393091, -0.1386104194033477, -0.07060459304462981, 0.0836312005089389, 0.008593878122391525, -0.13657194948582738, 0.16141632040617643, 0.04337367884538792, 0.12498943148939698, -0.01755235402810353, -0.09939936317365479, -0.017896645633434807, 0.13714651294328548, 0.05590518136267309, -0.05581552637051101, 0.1679737707944932, -0.19228842444028016, -0.162881787866354, 0.4383965620288142, -0.014189090323203278, -0.02382200156097059, 0.33541983641960005, -0.157700276899117, -0.11889316300275149, 0.09561133562345747, 0.2315184679572229, -0.03288648139547418, -0.08529536750305582, 0.05411717745354744, -0.00578270783578908, 0.20966666867887532, 0.0596133752691525, 0.15504265495541472, 0.3542225280155738, 0.19043368735799082, 0.012420479656645545, 0.07164773853771665, -0.059243854195638386, -0.12964576096446426, -0.30735091202788883, -0.13787284110569292, -0.09745087971289952, 0.07271244356201755, -0.08499619833741302, -0.11734565826891749, 0.38752957088527856, 0.1549543712667569, 0.21831531191778428, -0.03341006529000071, 0.14180452500780424, -0.021546903721712255, 0.01957118021393264, 0.029793637114818448, 0.2571832275501004, 0.13254192098975182, 0.1832733181891618, -0.2751207989813001, 0.028722456639149675, 0.004547196026477549] |
710.1126 | Heavy electrons and the symplectic symmetry of spin | The recent discovery of two heavy fermion materials PuCoGa_{5} and
NpPd_{5}Al_{2} which transform directly from Curie paramagnets into
superconductors, reveals a new class of superconductor where local moments
quench directly into a superconducting condensate. A powerful tool in the
description of heavy fermion metals is the large N expansion, which expands the
physics in powers of 1/N about a solvable limit where particles carry a large
number (N) of spin components. As it stands, this method is unable to jointly
describe the spin quenching and superconductivity which develop in PuCoGa_{5}
and NpPd_{5}Al_{2}. Here, we solve this problem with a new class of large N
expansion that employs the symplectic symmetry of spin to protect the odd
time-reversal parity of spin and sustain Cooper pairs as well-defined singlets.
With this method we show that when a lattice of magnetic ions exchange spin
with their metallic environment in two distinct symmetry channels, they are
able to simultaneously satisfy both channels by forming a condensate of
composite pairs between between local moments and electrons. In the tetragonal
crystalline environment relevant to PuCoGa_{5} and NpPd_{5}Al_{2} the lattice
structure selects a natural pair of spin exchange channels, giving rise to the
prediction of a unique anisotropic paired state with g-wave symmetry. This
pairing mechanism predicts a large upturn in the NMR relaxation rate above
T_{c}, a strong enhancement of Andreev reflection in tunneling measurements and
an enhanced superconducting transition temperature T_{c} in Pu doped
Np_{1-x}Pu_{x}Pd_{5}Al_{2}.
| cond-mat.str-el cond-mat.supr-con | the recent discovery of two heavy fermion materials pucoga_5 and nppd_5al_2 which transform directly from curie paramagnets into superconductors reveals a new class of superconductor where local moments quench directly into a superconducting condensate a powerful tool in the description of heavy fermion metals is the large n expansion which expands the physics in powers of 1n about a solvable limit where particles carry a large number n of spin components as it stands this method is unable to jointly describe the spin quenching and superconductivity which develop in pucoga_5 and nppd_5al_2 here we solve this problem with a new class of large n expansion that employs the symplectic symmetry of spin to protect the odd timereversal parity of spin and sustain cooper pairs as welldefined singlets with this method we show that when a lattice of magnetic ions exchange spin with their metallic environment in two distinct symmetry channels they are able to simultaneously satisfy both channels by forming a condensate of composite pairs between between local moments and electrons in the tetragonal crystalline environment relevant to pucoga_5 and nppd_5al_2 the lattice structure selects a natural pair of spin exchange channels giving rise to the prediction of a unique anisotropic paired state with gwave symmetry this pairing mechanism predicts a large upturn in the nmr relaxation rate above t_c a strong enhancement of andreev reflection in tunneling measurements and an enhanced superconducting transition temperature t_c in pu doped np_1xpu_xpd_5al_2 | [['the', 'recent', 'discovery', 'of', 'two', 'heavy', 'fermion', 'materials', 'pucoga_5', 'and', 'nppd_5al_2', 'which', 'transform', 'directly', 'from', 'curie', 'paramagnets', 'into', 'superconductors', 'reveals', 'a', 'new', 'class', 'of', 'superconductor', 'where', 'local', 'moments', 'quench', 'directly', 'into', 'a', 'superconducting', 'condensate', 'a', 'powerful', 'tool', 'in', 'the', 'description', 'of', 'heavy', 'fermion', 'metals', 'is', 'the', 'large', 'n', 'expansion', 'which', 'expands', 'the', 'physics', 'in', 'powers', 'of', '1n', 'about', 'a', 'solvable', 'limit', 'where', 'particles', 'carry', 'a', 'large', 'number', 'n', 'of', 'spin', 'components', 'as', 'it', 'stands', 'this', 'method', 'is', 'unable', 'to', 'jointly', 'describe', 'the', 'spin', 'quenching', 'and', 'superconductivity', 'which', 'develop', 'in', 'pucoga_5', 'and', 'nppd_5al_2', 'here', 'we', 'solve', 'this', 'problem', 'with', 'a', 'new', 'class', 'of', 'large', 'n', 'expansion', 'that', 'employs', 'the', 'symplectic', 'symmetry', 'of', 'spin', 'to', 'protect', 'the', 'odd', 'timereversal', 'parity', 'of', 'spin', 'and', 'sustain', 'cooper', 'pairs', 'as', 'welldefined', 'singlets', 'with', 'this', 'method', 'we', 'show', 'that', 'when', 'a', 'lattice', 'of', 'magnetic', 'ions', 'exchange', 'spin', 'with', 'their', 'metallic', 'environment', 'in', 'two', 'distinct', 'symmetry', 'channels', 'they', 'are', 'able', 'to', 'simultaneously', 'satisfy', 'both', 'channels', 'by', 'forming', 'a', 'condensate', 'of', 'composite', 'pairs', 'between', 'between', 'local', 'moments', 'and', 'electrons', 'in', 'the', 'tetragonal', 'crystalline', 'environment', 'relevant', 'to', 'pucoga_5', 'and', 'nppd_5al_2', 'the', 'lattice', 'structure', 'selects', 'a', 'natural', 'pair', 'of', 'spin', 'exchange', 'channels', 'giving', 'rise', 'to', 'the', 'prediction', 'of', 'a', 'unique', 'anisotropic', 'paired', 'state', 'with', 'gwave', 'symmetry', 'this', 'pairing', 'mechanism', 'predicts', 'a', 'large', 'upturn', 'in', 'the', 'nmr', 'relaxation', 'rate', 'above', 't_c', 'a', 'strong', 'enhancement', 'of', 'andreev', 'reflection', 'in', 'tunneling', 'measurements', 'and', 'an', 'enhanced', 'superconducting', 'transition', 'temperature', 't_c', 'in', 'pu', 'doped', 'np_1xpu_xpd_5al_2']] | [-0.17043651296332415, 0.24712711030079848, -0.05170279665495499, 0.04820995970929205, -0.06644852568539615, -0.19116395856468124, 0.08416084984266764, 0.33561003036703524, -0.25856227735369214, -0.28376895926744683, -0.028371962077894237, -0.31287310083657816, -0.07656236831391051, 0.11742938211125373, 0.06555443775458222, -0.006644449971325717, -0.04664624096371748, 0.007508742379484441, -0.1154231647576038, -0.22771549414430264, 0.298031881468655, -0.013810164406194224, 0.3219371749357044, 0.07206568807737598, 0.06513642419371209, 0.02703996868567857, 0.10467786083551256, -0.014479584395729597, -0.09480952991789575, 0.06743203874172791, 0.26603095308160524, -0.03742541688997065, 0.17913777240996237, -0.4303430900129657, -0.18109934246820245, 0.07083676818214653, 0.14407303981715813, 0.15067191140884026, -0.0898305917680887, -0.2771284077141169, 0.059564645080651825, -0.1770905538919483, -0.12411472829113321, -0.11441040042569572, -0.011378458180858376, -0.041135292553837764, -0.3022297425305171, 0.09617563989597945, 0.09150553276522716, 0.05684608642029112, -0.047465989105091685, -0.08938335091125017, -0.03425509110093117, 0.04816302697617019, 0.05907567201384877, 0.04474294717544417, 0.11064955951776512, -0.1271119649550258, -0.1066048008713201, 0.3540645688012336, -0.06174094334077168, -0.10193990568813545, 0.16843285908821237, -0.16984378181935667, -0.1149715389958953, 0.16565236818458434, 0.13796886386155935, 0.10193909217786652, -0.14129037001988778, 0.06994163155167024, -0.04907085549546149, 0.15797432764164449, 0.005777147710596106, 0.0924530005624136, 0.2677723126774303, 0.17538125573357405, 0.0475214487776756, 0.14203397119997427, -0.07708889075211993, -0.07122198356633079, -0.2581374650055379, -0.19401480279040667, -0.22686405248538627, 0.07906161304504833, -0.039582240225313224, -0.16965203880913027, 0.3872085156900505, 0.12546322100394441, 0.23440024740682236, -0.04701860549359945, 0.22987718769508925, 0.0735903167907172, 0.10443850661063894, 0.055432226408758126, 0.17624952905581462, 0.19096115424013288, 0.08168960921393287, -0.3148585972658682, 0.01630814269303917, 0.0448956468778713] |
710.1127 | The values of an Euler sum at negative integers and relation to a
convolution of Bernoulli numbers | We study a special Dirichlet series studied before by Apostol and Matsuoka
and specify its values at negative integers. These values are related to a
certain convolution of Bernoulli numbers
| math.CA math.NT | we study a special dirichlet series studied before by apostol and matsuoka and specify its values at negative integers these values are related to a certain convolution of bernoulli numbers | [['we', 'study', 'a', 'special', 'dirichlet', 'series', 'studied', 'before', 'by', 'apostol', 'and', 'matsuoka', 'and', 'specify', 'its', 'values', 'at', 'negative', 'integers', 'these', 'values', 'are', 'related', 'to', 'a', 'certain', 'convolution', 'of', 'bernoulli', 'numbers']] | [-0.14810398183763027, 0.1469149627101918, -0.014205065726613005, 0.10566612677648664, -0.10278345923870802, -0.1733104656605671, 0.05221065375953913, 0.33954688782493275, -0.2941831579354281, -0.2415947190175454, 0.14102532191512485, -0.2409679719634975, -0.13701436162615815, 0.19884357762833435, -0.05558664724230766, 0.08368177177132262, 0.027046256124352415, 0.10752344305316607, -0.07980388245390108, -0.28489934305349984, 0.37029713826874894, -0.004003342458357414, 0.17632210097120454, 0.0017231013315419355, 0.07914266959996893, -0.02270392347127199, -0.05622035913790266, -0.003378602055211862, -0.20553659423118611, 0.06041739930709203, 0.23755694770564637, 0.016637630419184764, 0.3588820064129929, -0.37107988142718873, -0.1322891179472208, 0.15366915895914038, 0.06305876948560278, -0.024727748551716406, 0.0307978060717384, -0.27728843229512373, 0.14615477165207266, -0.17121316137102743, -0.097221737060075, -0.11637256649943689, 0.05913060711075862, 0.13231410920852796, -0.3265666052699089, 0.04149859010552367, 0.01353465678791205, 0.08597601468985279, -0.059746309854866314, -0.22453147093765438, 0.03655572710558772, 0.08515041718880335, 0.0673334477469325, -0.057234717478665216, 0.03210863714727263, -0.11160203550631802, -0.08533686132480701, 0.30611523849268757, 0.0037566451355814934, -0.2150476511567831, 0.1117395806669568, -0.19813734685691695, -0.21095929752724865, 0.0763154760041895, 0.12130300970748067, 0.14117201808840035, -0.05871288751562436, 0.06865622549861049, -0.0916003303291897, 0.0434201894638439, 0.23537760856561363, -0.05460075220714013, 0.19026549855868022, -0.037127907512088616, -0.04817952765151858, 0.2028151844938596, -0.0055326544990142185, -0.09794315950324138, -0.3071678884327412, -0.14248211256538829, -0.1918080327101052, 0.08603092556198438, -0.0876946049267038, -0.18334654901797573, 0.38414465424915156, 0.0665463854248325, 0.2831030290729056, 0.11330451037113866, 0.17127179546902577, 0.19330787950505812, 0.04094852178047101, 4.330333322286606e-05, 0.028872154653072357, 0.19354701434106877, 0.11805300613244375, -0.10549423582851887, 0.07318641748909917, 0.12341061557332675] |
710.1128 | Supplementary material to Heavy electrons and the symplectic symmetry of
spin | This online material provides the technical detail for ``Heavy electrons and
the symplectic symmetry of spin",(arXiv 0710.1122). Three parts. Part I -
symplectic spins, their properties and gauge symmetries. Part II - derivation
of two-chanel model for tetragonal heavy electron systems with the view to
application to PuCoGa5 and NpPd_5Al_2, symplectic-N mean field theory and
computation of NMR relaxation rate. Part III - brief discussion of the
application to frustrated magnetism in the J1-J2 model, mainly used to test the
method.
| cond-mat.str-el cond-mat.supr-con | this online material provides the technical detail for heavy electrons and the symplectic symmetry of spinarxiv 07101122 three parts part i symplectic spins their properties and gauge symmetries part ii derivation of twochanel model for tetragonal heavy electron systems with the view to application to pucoga5 and nppd_5al_2 symplecticn mean field theory and computation of nmr relaxation rate part iii brief discussion of the application to frustrated magnetism in the j1j2 model mainly used to test the method | [['this', 'online', 'material', 'provides', 'the', 'technical', 'detail', 'for', 'heavy', 'electrons', 'and', 'the', 'symplectic', 'symmetry', 'of', 'spinarxiv', '07101122', 'three', 'parts', 'part', 'i', 'symplectic', 'spins', 'their', 'properties', 'and', 'gauge', 'symmetries', 'part', 'ii', 'derivation', 'of', 'twochanel', 'model', 'for', 'tetragonal', 'heavy', 'electron', 'systems', 'with', 'the', 'view', 'to', 'application', 'to', 'pucoga5', 'and', 'nppd_5al_2', 'symplecticn', 'mean', 'field', 'theory', 'and', 'computation', 'of', 'nmr', 'relaxation', 'rate', 'part', 'iii', 'brief', 'discussion', 'of', 'the', 'application', 'to', 'frustrated', 'magnetism', 'in', 'the', 'j1j2', 'model', 'mainly', 'used', 'to', 'test', 'the', 'method']] | [-0.1175055179203785, 0.1082082967701796, -0.02793485332733473, 0.0613871354505898, -0.09523599698032076, -0.14546472186575066, 0.037433189915719665, 0.35135971880643757, -0.2663189122245672, -0.2903826676208425, 0.06854428575418235, -0.29213163583866647, -0.10319070031589551, 0.1329197447079964, 0.008849364082797783, -0.0030641337554599786, 0.004564814124810132, 0.0021225146798265946, -0.11912517615505872, -0.25641566874912464, 0.2879722147322232, 0.06243076477501843, 0.27750633480153175, 0.06986511035388135, 0.0672492965854503, 0.04328061280319014, 0.029609571085185617, -0.05121576283882196, -0.11829822897483167, 0.13106178433785365, 0.24165747534307475, 0.020358428887620166, 0.18653992496783267, -0.43661448540719777, -0.1451400002288456, 0.028413677009174954, 0.13127143889967655, 0.13733445761750476, -0.09314518973130632, -0.290607698437934, 0.01586988051044377, -0.17296623514109366, -0.18092560760104223, -0.10702940478065126, -0.011478283422105518, -0.03245863931983508, -0.22646544916504943, 0.08430158151187808, 0.09422453369542554, 0.1464355761968732, -0.10197799631419617, -0.14351632890316682, 0.013816240042246677, 0.05198854327554236, 0.1218956683076465, 0.04050253217133719, 0.1694415668796471, -0.11405956256517989, -0.0985000272143028, 0.4105021980012188, -0.018092732448634262, -0.14629585299691236, 0.17633514182572882, -0.13933844569239867, -0.17313745767003982, 0.11091411498224212, 0.16899897259773333, 0.08600653237285646, -0.14758254770768453, 0.1166741869513046, 0.037408513256122135, 0.12249567303051417, -0.06927501979107792, 0.05948941687096816, 0.20338350900675398, 0.16509744429935677, -0.0031894122351061654, 0.12063202373935161, -0.08073270133369274, -0.14373588548325053, -0.30977555457502604, -0.19611142021352174, -0.16673674590482906, 0.057291946474563434, -0.05791290361053512, -0.15543085163006107, 0.43620575340213, 0.12949095283181886, 0.11155315211697205, -0.020377768445885867, 0.26565325573539816, 0.04023639049783752, 0.03869066840805415, 0.03701005473330214, 0.19031685051457906, 0.22491049334230656, 0.12666662958626812, -0.2706826677344538, -0.027429029225950707, 0.11441162298118847] |
710.1129 | The Census Taker's Hat | If the observable universe really is a hologram, then of what sort? Is it
rich enough to keep track of an eternally inflating multiverse? What physical
and mathematical principles underlie it? Is the hologram a lower dimensional
quantum field theory, and if so, how many dimensions are explicit, and how many
"emerge?" Does the Holographic description provide clues for defining a
probability measure on the Landscape?
The purpose of this lecture is first, to briefly review a proposal for a
holographic cosmology by Freivogel, Sekino, Susskind, and Yeh (FSSY), and then
to develop a physical interpretation in terms of a "Cosmic Census Taker:" an
idea introduced in reference [1]. The mathematical structure--a hybrid of the
Wheeler DeWitt formalism and holography--is a boundary "Liouville" field
theory, whose UV/IR duality is closely related to the time evolution of the
Census Taker's observations. That time evolution is represented by the
renormalization-group flow of the Liouville theory.
Although quite general, the Census Taker idea was originally introduced in
\cite{shenker}, for the purpose of counting bubbles that collide with the
Census Taker's bubble. The "Persistence of Memory" phenomenon discovered by
Garriga, Guth, and Vilenkin, has a natural RG interpretation, as does slow roll
inflation. The RG flow and the related C-theorem are closely connected with
generalized entropy bounds.
| hep-th | if the observable universe really is a hologram then of what sort is it rich enough to keep track of an eternally inflating multiverse what physical and mathematical principles underlie it is the hologram a lower dimensional quantum field theory and if so how many dimensions are explicit and how many emerge does the holographic description provide clues for defining a probability measure on the landscape the purpose of this lecture is first to briefly review a proposal for a holographic cosmology by freivogel sekino susskind and yeh fssy and then to develop a physical interpretation in terms of a cosmic census taker an idea introduced in reference 1 the mathematical structurea hybrid of the wheeler dewitt formalism and holographyis a boundary liouville field theory whose uvir duality is closely related to the time evolution of the census takers observations that time evolution is represented by the renormalizationgroup flow of the liouville theory although quite general the census taker idea was originally introduced in citeshenker for the purpose of counting bubbles that collide with the census takers bubble the persistence of memory phenomenon discovered by garriga guth and vilenkin has a natural rg interpretation as does slow roll inflation the rg flow and the related ctheorem are closely connected with generalized entropy bounds | [['if', 'the', 'observable', 'universe', 'really', 'is', 'a', 'hologram', 'then', 'of', 'what', 'sort', 'is', 'it', 'rich', 'enough', 'to', 'keep', 'track', 'of', 'an', 'eternally', 'inflating', 'multiverse', 'what', 'physical', 'and', 'mathematical', 'principles', 'underlie', 'it', 'is', 'the', 'hologram', 'a', 'lower', 'dimensional', 'quantum', 'field', 'theory', 'and', 'if', 'so', 'how', 'many', 'dimensions', 'are', 'explicit', 'and', 'how', 'many', 'emerge', 'does', 'the', 'holographic', 'description', 'provide', 'clues', 'for', 'defining', 'a', 'probability', 'measure', 'on', 'the', 'landscape', 'the', 'purpose', 'of', 'this', 'lecture', 'is', 'first', 'to', 'briefly', 'review', 'a', 'proposal', 'for', 'a', 'holographic', 'cosmology', 'by', 'freivogel', 'sekino', 'susskind', 'and', 'yeh', 'fssy', 'and', 'then', 'to', 'develop', 'a', 'physical', 'interpretation', 'in', 'terms', 'of', 'a', 'cosmic', 'census', 'taker', 'an', 'idea', 'introduced', 'in', 'reference', '1', 'the', 'mathematical', 'structurea', 'hybrid', 'of', 'the', 'wheeler', 'dewitt', 'formalism', 'and', 'holographyis', 'a', 'boundary', 'liouville', 'field', 'theory', 'whose', 'uvir', 'duality', 'is', 'closely', 'related', 'to', 'the', 'time', 'evolution', 'of', 'the', 'census', 'takers', 'observations', 'that', 'time', 'evolution', 'is', 'represented', 'by', 'the', 'renormalizationgroup', 'flow', 'of', 'the', 'liouville', 'theory', 'although', 'quite', 'general', 'the', 'census', 'taker', 'idea', 'was', 'originally', 'introduced', 'in', 'citeshenker', 'for', 'the', 'purpose', 'of', 'counting', 'bubbles', 'that', 'collide', 'with', 'the', 'census', 'takers', 'bubble', 'the', 'persistence', 'of', 'memory', 'phenomenon', 'discovered', 'by', 'garriga', 'guth', 'and', 'vilenkin', 'has', 'a', 'natural', 'rg', 'interpretation', 'as', 'does', 'slow', 'roll', 'inflation', 'the', 'rg', 'flow', 'and', 'the', 'related', 'ctheorem', 'are', 'closely', 'connected', 'with', 'generalized', 'entropy', 'bounds']] | [-0.08351714990070858, 0.1671146761232345, -0.18528493911883645, 0.138101926486265, -0.12933419877883948, -0.13213325077579555, 0.0030222918189426453, 0.2736206110743408, -0.21843230202838212, -0.2982669326772481, 0.11160722446144598, -0.23454450422421239, -0.1794879613885594, 0.14450499251423077, -0.11882297571978015, 0.01864890522937074, 0.0014540626191847485, 0.052979671227623225, -0.018511436037141036, -0.2577536651595403, 0.31152766604711396, 0.0907643496449783, 0.2812253505794852, 0.04949677634489903, 0.10609435455838298, -0.03569052153585867, -0.0660416735733431, 0.036199850979221376, -0.18440129843429315, 0.10117531621605776, 0.22532310132797967, 0.1859697416716893, 0.24946945220214353, -0.4307696347729572, -0.2270732156190827, 0.062175741306642926, 0.1383236295149675, 0.10497700963257613, -0.03470790814026259, -0.2750252921827208, 0.03311628943391396, -0.16672357121897394, -0.1867033254743611, -0.06695307617272157, 0.04923236988239615, -0.05789657469212091, -0.18807833866322174, 0.05832489089978532, 0.04720675153878486, 0.017552359411448806, -0.03412156400626075, -0.00430169542843114, -0.007858949316162352, 0.08289053075024373, 0.052457928696152935, 0.0825588552179742, 0.10952691001358543, -0.13519134285012993, -0.12549189217300352, 0.3719443269669833, -0.03453751491885897, -0.16348418622558783, 0.1708286306931156, -0.1395251892277556, -0.15767944000674614, 0.08036816269694497, 0.07514724805642149, 0.11009985858450921, -0.17050108392347726, 0.12125010167191166, -0.05266601404217094, 0.11383850759301352, 0.09357321946065149, 0.027726464113937824, 0.24737659468364095, 0.13126820109131354, 0.022166072229316273, 0.0900649718379699, -0.01451747225800538, -0.15692843180326346, -0.3531707209398114, -0.1895007194659759, -0.18054628636802755, 0.09592434337971759, -0.08048552765469044, -0.1843613429823714, 0.3525736139142683, 0.14299984059436688, 0.1719853038197798, 0.0369030074525395, 0.2527078994488017, 0.07078231778823423, 0.03591985133712696, 0.07791088722807342, 0.19651036837548724, 0.15422394214378962, 0.12624998907205512, -0.19067151385019598, 0.025852279015927095, 0.1618182976008503] |
710.113 | Topological susceptibility in two-flavor lattice QCD with exact chiral
symmetry | We determine the topological susceptibility $\chi_t$ in two-flavor QCD using
the lattice simulations at a fixed topological sector. The topological charge
density is unambiguously defined on the lattice using the overlap-Dirac
operator which possesses exact chiral symmetry. Simulations are performed on a
$16^3 \times 32$ lattice at lattice spacing $\sim$ 0.12 fm at six sea quark
masses $m_q$ ranging in $m_s/6$--$m_s$ with $m_s$ the physical strange quark
mass. The $\chi_t$ is extracted from the constant behavior of the
time-correlation of flavor-singlet pseudo-scalar meson two-point function at
large distances, which arises from the finite size effect due to the fixed
topology. In the small $m_q$ regime, our result of $\chi_t$ is proportional to
$m_q$ as expected from chiral effective theory. Using the formula
$\chi_t=m_q\Sigma/N_f$ by Leutwyler-Smilga, we obtain the chiral condensate in
$N_f=2$ QCD as $\Sigma^{\bar{\mathrm{MS}}}(\mathrm{2 GeV}) = [252(5)(10)
\mathrm{MeV}]^3 $, in good agreement with our previous result obtained in the
$\epsilon$-regime.
| hep-lat hep-ph hep-th | we determine the topological susceptibility chi_t in twoflavor qcd using the lattice simulations at a fixed topological sector the topological charge density is unambiguously defined on the lattice using the overlapdirac operator which possesses exact chiral symmetry simulations are performed on a 163 times 32 lattice at lattice spacing sim 012 fm at six sea quark masses m_q ranging in m_s6m_s with m_s the physical strange quark mass the chi_t is extracted from the constant behavior of the timecorrelation of flavorsinglet pseudoscalar meson twopoint function at large distances which arises from the finite size effect due to the fixed topology in the small m_q regime our result of chi_t is proportional to m_q as expected from chiral effective theory using the formula chi_tm_qsigman_f by leutwylersmilga we obtain the chiral condensate in n_f2 qcd as sigmabarmathrmmsmathrm2 gev 252510 mathrmmev3 in good agreement with our previous result obtained in the epsilonregime | [['we', 'determine', 'the', 'topological', 'susceptibility', 'chi_t', 'in', 'twoflavor', 'qcd', 'using', 'the', 'lattice', 'simulations', 'at', 'a', 'fixed', 'topological', 'sector', 'the', 'topological', 'charge', 'density', 'is', 'unambiguously', 'defined', 'on', 'the', 'lattice', 'using', 'the', 'overlapdirac', 'operator', 'which', 'possesses', 'exact', 'chiral', 'symmetry', 'simulations', 'are', 'performed', 'on', 'a', '163', 'times', '32', 'lattice', 'at', 'lattice', 'spacing', 'sim', '012', 'fm', 'at', 'six', 'sea', 'quark', 'masses', 'm_q', 'ranging', 'in', 'm_s6m_s', 'with', 'm_s', 'the', 'physical', 'strange', 'quark', 'mass', 'the', 'chi_t', 'is', 'extracted', 'from', 'the', 'constant', 'behavior', 'of', 'the', 'timecorrelation', 'of', 'flavorsinglet', 'pseudoscalar', 'meson', 'twopoint', 'function', 'at', 'large', 'distances', 'which', 'arises', 'from', 'the', 'finite', 'size', 'effect', 'due', 'to', 'the', 'fixed', 'topology', 'in', 'the', 'small', 'm_q', 'regime', 'our', 'result', 'of', 'chi_t', 'is', 'proportional', 'to', 'm_q', 'as', 'expected', 'from', 'chiral', 'effective', 'theory', 'using', 'the', 'formula', 'chi_tm_qsigman_f', 'by', 'leutwylersmilga', 'we', 'obtain', 'the', 'chiral', 'condensate', 'in', 'n_f2', 'qcd', 'as', 'sigmabarmathrmmsmathrm2', 'gev', '252510', 'mathrmmev3', 'in', 'good', 'agreement', 'with', 'our', 'previous', 'result', 'obtained', 'in', 'the', 'epsilonregime']] | [-0.12510456517017607, 0.28076501816575383, -0.1030257479062882, 0.07079662377062929, 0.0003066571878975835, -0.05763387954312152, 0.10784674051041104, 0.30595422778760306, -0.16083239722868492, -0.247568120599066, 0.03432197527285537, -0.3437733723685659, -0.042394564043858954, 0.09571680391592713, 0.06934799182646234, 0.11483871778874691, -0.017595378700483204, 0.055597142404716075, -0.13384067305716976, -0.20040871907218263, 0.31305730304327506, -0.03743757284406958, 0.26106993345351054, 0.16929077909745532, 0.023942334291621528, -0.009531212938499862, 0.027578020702790598, -0.04156055453008619, -0.16223665568014156, -0.0006104409791015345, 0.1800024842690869, -0.0702082799956331, 0.09862706226071921, -0.32257811602622527, -0.16630121361753294, 0.05400727936869552, 0.1199592942966084, 0.11499360847961286, -0.016598221526384866, -0.2803308015705311, 0.14718266676726013, -0.20532343016359314, -0.21587276216917511, -0.11522914497502919, -0.013924946873609362, -0.08088967218384917, -0.33693795580545377, 0.13971054090793117, -0.10200096745493598, 0.08365549800339445, -0.006865023208204014, -0.2274455859550628, -0.08456900523140512, 0.09270140366982027, 0.11276845612306276, 0.17019156084299603, 0.1396454512631392, -0.14044208396547314, -0.09126277173676624, 0.45583236618529493, -0.10742372127956358, -0.14730219110396917, 0.10466840162648466, -0.19483398302811486, -0.1123935653410595, 0.12286795283635629, 0.13693301447121234, 0.09828186532129245, -0.11234275117066914, 0.1416142601519823, -0.09254182771827768, 0.20786302388115818, 0.07454383074273838, 0.048239114160743814, 0.26214011778155794, 0.17532348248963084, -0.005303490027014551, 0.08404755657217626, -0.03873336609324505, -0.14539080273424243, -0.336069476206241, -0.001557037101833728, -0.2527376929843991, 0.12719945008063624, -0.17694881042658256, -0.12469523954827434, 0.36483329860814684, 0.1403601567774754, 0.24793078228189, 0.05266381493962274, 0.2649503964031565, 0.12460602212793612, 0.11123622591960533, 0.05929843125672176, 0.21719621281974533, 0.19974321958384122, 0.1327103916847685, -0.3283054889179766, -0.10645360711255464, 0.1445872853686712] |
710.1131 | On the Use of Integrals to Evaluate Series of Rational Terms | This article is written with the hope to draw attention to a method that uses
integral transforms to find exact values for a large class of convergent series
(and, in particular, series of rational terms). We apply the method to some
series that generalize a problem published in `The College Mathematics
Journal'. Some of the results thus obtained have not been founded in standard
references.
| math.CA | this article is written with the hope to draw attention to a method that uses integral transforms to find exact values for a large class of convergent series and in particular series of rational terms we apply the method to some series that generalize a problem published in the college mathematics journal some of the results thus obtained have not been founded in standard references | [['this', 'article', 'is', 'written', 'with', 'the', 'hope', 'to', 'draw', 'attention', 'to', 'a', 'method', 'that', 'uses', 'integral', 'transforms', 'to', 'find', 'exact', 'values', 'for', 'a', 'large', 'class', 'of', 'convergent', 'series', 'and', 'in', 'particular', 'series', 'of', 'rational', 'terms', 'we', 'apply', 'the', 'method', 'to', 'some', 'series', 'that', 'generalize', 'a', 'problem', 'published', 'in', 'the', 'college', 'mathematics', 'journal', 'some', 'of', 'the', 'results', 'thus', 'obtained', 'have', 'not', 'been', 'founded', 'in', 'standard', 'references']] | [-0.024434091422993402, -0.011029632934010946, -0.12348700878210365, 0.05243559560666864, -0.1706410132921659, -0.07698589873571808, 0.03938404658513788, 0.34920891953202393, -0.24498532440943213, -0.29063668758966604, 0.10263994372485635, -0.25110562757517285, -0.18753132603775996, 0.27044734708391704, -0.11242008004337549, 0.03433067591417616, 0.08648530350854763, 0.055048585826387775, -0.09135588446202186, -0.3335463386315566, 0.2717287260036056, 0.008927911906861341, 0.2613104400153343, 0.03885154521737534, 0.09581228103846885, -0.02710953952314762, -0.0909987681473677, 0.04249261157730451, -0.14972529133822088, 0.1754860439678081, 0.3199719964311673, 0.12347658390824039, 0.3413743270131258, -0.4053201720978205, -0.17855669539421798, 0.08314769955065388, 0.11627733632922173, 0.1141012834958159, -0.03158242850062939, -0.238622807768675, 0.07924761068649017, -0.19364020828372583, -0.12531799126703005, -0.12701577015507678, 0.03676558600810285, 0.0444773059624892, -0.2558640002559584, 0.023185715867349736, 0.05222546527018914, 0.0815150788340431, -0.023418472793239813, -0.15363800678975306, 0.08618950660412128, 0.13310446639616902, 0.0771051394359137, 0.04567573657975747, 0.0183398918965115, -0.07910565464900664, -0.12182772277066341, 0.3807418100965711, -0.0731793612241745, -0.21187172658168352, 0.14665962559385942, -0.16152376301156787, -0.22978474456243791, 0.10222332486166404, 0.16061367232065935, 0.11869172581399863, -0.13668545430096296, 0.10308335897638105, -0.07800338200221842, 0.11803751626195243, 0.09517003249090451, -0.027581312872755986, 0.1201799147332517, 0.06585792812805336, 0.009735080008753217, 0.15892437279869157, -0.0019907003841721093, -0.09548700204334007, -0.3055880847172095, -0.17513647049916192, -0.19324207009317784, 0.017462520462756332, 0.026116798911467554, -0.20258059326845865, 0.3941707695332857, 0.1652185671031475, 0.17116444199704206, 0.09009531389635343, 0.20713219682757672, 0.13125243383244825, 0.03766805184288667, 0.05542579591274262, 0.19141628719024503, 0.10397338891545167, 0.16143827570172456, -0.1108148426318971, 0.020562573682624274, 0.11774859487150724] |
710.1132 | Some bijections on set partitions | This paper has been withdrawn by the author due to an error in Lemma 3,
making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of
k-nonnesting and k-noncrossing set partitions).
| math.CO | this paper has been withdrawn by the author due to an error in lemma 3 making the bijective proof of theorem 4 and corollary 5 invalid symmetry of knonnesting and knoncrossing set partitions | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'an', 'error', 'in', 'lemma', '3', 'making', 'the', 'bijective', 'proof', 'of', 'theorem', '4', 'and', 'corollary', '5', 'invalid', 'symmetry', 'of', 'knonnesting', 'and', 'knoncrossing', 'set', 'partitions']] | [-0.14841381127409864, 0.030620488158698816, -0.09275626718546405, 0.06660739409694956, -0.08289125714112412, -0.10980751421866995, 0.09256432535987573, 0.2810610252587746, -0.2863099737883066, -0.3671004053656802, 0.11401797525909249, -0.2603625435255129, -0.14534738537799002, 0.12416585109365935, -0.2300416547240633, 0.04272165846531138, 0.016516136118408405, -0.03508702707900242, -0.008702055159532889, -0.3370701522622822, 0.3057010783955003, 0.005588503723794764, 0.23610520989027325, 0.1732810714959421, 0.07002921741117131, 0.04063424998612115, -0.11203972566308397, -0.08742688878467589, -0.16140469251144113, 0.08588106061021487, 0.2636000819250264, 0.11922976297721492, 0.29956265674395993, -0.3714580580761487, -0.019266402461763584, 0.1542906276035038, 0.17683370479128577, 0.13685329498328042, -0.03897822292690927, -0.3205924296017849, 0.17472202874099216, -0.22139196605844932, -0.17674895076814925, -0.02744000527132867, 0.12850166851598205, -0.0842946743818395, -0.2224891112101349, 0.07798223620788618, 0.2646146437548327, 0.19883854554570984, 0.028474204750223595, -0.15616597709330646, -0.008956046909037414, 0.08630263386294246, 0.07347493342152148, 0.13726240300545187, 0.018151101956115752, -0.019803569278200015, -0.1565435010036736, 0.3047712092485392, 0.08530646508954691, -0.18483023400194448, 0.09773888077699777, -0.05977803208357231, -0.19438358667221936, 0.15026268712950475, 0.06782722823096043, 0.09740522316177234, -0.12078933081956524, 0.148991886917925, -0.10786664392799139, 0.17696156849463782, 0.260828026767933, -0.016401681371710518, 0.0488999852854194, 0.09402686432286193, 0.09763571467589248, 0.19503354755314914, -0.009860593938466274, 0.02399503117935224, -0.278691313031948, -0.18262952535102764, -0.2318389340106285, 0.12370593724490116, -0.06697611344156251, -0.14954217339894085, 0.33344981796813733, 0.1301225829502624, 0.12376828271556985, 0.12701096814690213, 0.22827469659122554, 0.07658250454264678, 0.0496581513293539, 0.024307225633299713, 0.15508555368322766, 0.24148521324704317, 0.03863232125612823, -0.0026553752973224177, 0.0560361012308435, 0.22950509627998777] |
710.1133 | Craig's XY-distribution and the statistics of Lagrangian power in
two-dimensional turbulence | We examine the probability distribution function (pdf) of energy injection
rate (power) in numerical simulations of stationary two--dimensional (2D)
turbulence in the Lagrangian frame. The simulation is designed to mimic an
electromagnetically driven fluid layer, a well-documented system for generating
two--dimensional turbulence in the laboratory. In our simulations, the forcing
and velocity fields are close to Gaussian. On the other hand, the measured PDF
of injected power is very sharply peaked at zero, suggestive of a singularity
there, with tails which are exponential but asymmetric. Large positive
fluctuations are more probable than large negative fluctuations. It is this
asymmetry of the tails, which leads to a net positive mean value for the energy
input despite the most probable value being zero. The main features of the
power distribution are well described by Craig's XY distribution for the PDF of
the product of two correlated normal variables. We show that the power
distribution should exhibit a logarithmic singularity at zero and decay
exponentially for large absolute values of the power. We calculate the
asymptotic behavior and express the asymmetry of the tails in terms of the
correlation coefficient of the force and velocity. We compare the measured pdfs
with the theoretical calculations and briefly discuss how the power pdf might
change with other forcing mechanisms.
| cond-mat.stat-mech | we examine the probability distribution function pdf of energy injection rate power in numerical simulations of stationary twodimensional 2d turbulence in the lagrangian frame the simulation is designed to mimic an electromagnetically driven fluid layer a welldocumented system for generating twodimensional turbulence in the laboratory in our simulations the forcing and velocity fields are close to gaussian on the other hand the measured pdf of injected power is very sharply peaked at zero suggestive of a singularity there with tails which are exponential but asymmetric large positive fluctuations are more probable than large negative fluctuations it is this asymmetry of the tails which leads to a net positive mean value for the energy input despite the most probable value being zero the main features of the power distribution are well described by craigs xy distribution for the pdf of the product of two correlated normal variables we show that the power distribution should exhibit a logarithmic singularity at zero and decay exponentially for large absolute values of the power we calculate the asymptotic behavior and express the asymmetry of the tails in terms of the correlation coefficient of the force and velocity we compare the measured pdfs with the theoretical calculations and briefly discuss how the power pdf might change with other forcing mechanisms | [['we', 'examine', 'the', 'probability', 'distribution', 'function', 'pdf', 'of', 'energy', 'injection', 'rate', 'power', 'in', 'numerical', 'simulations', 'of', 'stationary', 'twodimensional', '2d', 'turbulence', 'in', 'the', 'lagrangian', 'frame', 'the', 'simulation', 'is', 'designed', 'to', 'mimic', 'an', 'electromagnetically', 'driven', 'fluid', 'layer', 'a', 'welldocumented', 'system', 'for', 'generating', 'twodimensional', 'turbulence', 'in', 'the', 'laboratory', 'in', 'our', 'simulations', 'the', 'forcing', 'and', 'velocity', 'fields', 'are', 'close', 'to', 'gaussian', 'on', 'the', 'other', 'hand', 'the', 'measured', 'pdf', 'of', 'injected', 'power', 'is', 'very', 'sharply', 'peaked', 'at', 'zero', 'suggestive', 'of', 'a', 'singularity', 'there', 'with', 'tails', 'which', 'are', 'exponential', 'but', 'asymmetric', 'large', 'positive', 'fluctuations', 'are', 'more', 'probable', 'than', 'large', 'negative', 'fluctuations', 'it', 'is', 'this', 'asymmetry', 'of', 'the', 'tails', 'which', 'leads', 'to', 'a', 'net', 'positive', 'mean', 'value', 'for', 'the', 'energy', 'input', 'despite', 'the', 'most', 'probable', 'value', 'being', 'zero', 'the', 'main', 'features', 'of', 'the', 'power', 'distribution', 'are', 'well', 'described', 'by', 'craigs', 'xy', 'distribution', 'for', 'the', 'pdf', 'of', 'the', 'product', 'of', 'two', 'correlated', 'normal', 'variables', 'we', 'show', 'that', 'the', 'power', 'distribution', 'should', 'exhibit', 'a', 'logarithmic', 'singularity', 'at', 'zero', 'and', 'decay', 'exponentially', 'for', 'large', 'absolute', 'values', 'of', 'the', 'power', 'we', 'calculate', 'the', 'asymptotic', 'behavior', 'and', 'express', 'the', 'asymmetry', 'of', 'the', 'tails', 'in', 'terms', 'of', 'the', 'correlation', 'coefficient', 'of', 'the', 'force', 'and', 'velocity', 'we', 'compare', 'the', 'measured', 'pdfs', 'with', 'the', 'theoretical', 'calculations', 'and', 'briefly', 'discuss', 'how', 'the', 'power', 'pdf', 'might', 'change', 'with', 'other', 'forcing', 'mechanisms']] | [-0.14165619735238272, 0.15151891040798793, -0.11913423154097286, 0.09861420411029047, -0.009944307308852951, -0.11395183500233237, -0.019798215049853175, 0.33260901166108725, -0.27459228381995443, -0.2656812894192881, 0.0563552663405861, -0.3237161765649706, -0.06920973268102541, 0.17720197794945894, 0.005497721502574804, 0.06347950316415327, 0.0018978409276552777, 0.03955254044762386, -0.0499753977637738, -0.18573365843567613, 0.33012903865130844, 0.09963783081055175, 0.30081306224706295, 0.03081164545777785, 0.07840956724248827, -0.05130603333835046, -0.04372794099264152, 0.0322688140484252, -0.1427760558705312, 0.056619431834371986, 0.1781845564962687, 0.05764504583665631, 0.24112005261965444, -0.3896262994314605, -0.19721556075839936, 0.10724950749122442, 0.14033944907361015, 0.07678227984046163, -0.05792890637483346, -0.2211767477070408, 0.08209681431008758, -0.18463699239802278, -0.1823912377395258, -0.057078074062216995, 0.04301191095445549, 0.1032612094314003, -0.2860464523981595, 0.14310486028275549, 0.041773763514628685, 0.05049927015954092, -0.047023322916846445, -0.13777665604312825, -0.04149338840093533, 0.09172807544334922, 0.09363748866163855, 0.015675127331089125, 0.14631896230398142, -0.18634476317810852, -0.04505993962852572, 0.3536822045489571, -0.09964646274078677, -0.1873678780709193, 0.15399094189682574, -0.22341698843106697, -0.07124686143883269, 0.14654264388231683, 0.16984943061630203, 0.07663066968948484, -0.09077652840152661, 0.03567672874558871, -0.022500884981399454, 0.1518678344447801, 0.05451565882339029, 0.026437050545431464, 0.21993486716403304, 0.10820937571638028, 0.04376831472330187, 0.13755618031822128, -0.13083702972415556, -0.1400657223959706, -0.3232771847048931, -0.116507520143837, -0.19690530580385787, 0.05734583738457986, -0.1014381556541993, -0.17674404347182696, 0.42118336099295695, 0.14285472707788102, 0.23246636665991952, 0.08579419798622448, 0.30731819074374633, 0.19121337409411931, 0.04311951257236232, 0.09252490166086616, 0.23379219640655635, 0.11715176150368126, 0.08651171444488742, -0.22186958461468953, 0.11167367588332637, -0.025799702124008648] |
710.1134 | The History of the Particle Data Group at KEK in the 1970s | This submission has been withdrawn by arXiv admins because there was an
erroneous author included in the original version.
| physics.hist-ph | this submission has been withdrawn by arxiv admins because there was an erroneous author included in the original version | [['this', 'submission', 'has', 'been', 'withdrawn', 'by', 'arxiv', 'admins', 'because', 'there', 'was', 'an', 'erroneous', 'author', 'included', 'in', 'the', 'original', 'version']] | [-0.10470423994487837, -0.06298470650845527, -0.11449996960398398, -0.0035740458957948967, -0.1342146120181209, -0.11705157028413132, -0.02499381295944515, 0.3138268613501599, -0.1720718586278197, -0.3650157709458941, 0.12213748361988876, -0.32141780676810366, -0.09279532975664265, 0.021225144596476304, -0.36012140857545955, 0.04356960677786877, 0.12274467043186489, -0.025664216789760087, 0.044271934612065945, -0.5144781352658021, 0.20586499375732323, 0.2168125878823431, 0.2652726670433032, 0.18296079572878385, -0.0017964422065568598, 0.025598420589966208, -0.20100977791375235, -0.029788972512745347, -0.13153543813448204, -0.012021963754178662, 0.2517569897157189, 0.08810413122716311, 0.42625356426364497, -0.38088904713329513, -0.14490146582063876, 0.08067165079869722, 0.14506264780893138, 0.21776231829273074, -0.10368196391745617, -0.43692708799713537, 0.1435459896088823, -0.35528807371462645, -0.0976398651622922, 0.021811187071235555, 0.18507644622341582, -0.16168290729585447, -0.056265960202405325, 0.04511275681618013, 0.16561545446319015, 0.17722700835254632, 0.03386382150806879, -0.20454932653688288, -0.0016015101910421723, 0.12796886784857825, 0.1905352685992655, 0.17466902784316948, -0.040590657607505194, -0.004378693656211621, -0.09389643619866356, 0.3632182231859157, 0.038223572320451864, -0.19992741314988388, 0.07517100360832717, 0.05736814858391881, -0.2186061706590025, 0.1933940988230078, 0.044828971486391596, 0.004749855418738566, -0.30062203834715645, 0.18893691568978524, -0.11076659635689698, 0.2673589257817519, 0.22250147899122616, -0.125364982670075, 0.08283984685610783, 0.05577572970344734, -0.05001688184902856, 0.20226570777595043, 0.07307296167863042, -0.01950591594274891, -0.21182154628791308, -0.13963826510467028, -0.28542203136327626, 0.0747217730447454, 0.23325654560405956, -0.0894732685073426, 0.3315612212999871, 0.1891594948737245, 0.09101114620601661, -0.16499415177263713, 0.24737348250652613, 0.14037407022337184, 0.1263976619229652, 0.0832981335820238, 0.3050016224825461, 0.037951548203923983, 0.28986390121281147, 0.0013636411412766105, 0.2744309518878397, 0.22609766175676332] |
710.1135 | The Plasma Structure of the Cygnus Loop from the Northeastern Rim to the
Southwestern Rim | The Cygnus Loop was observed from the northeast to the southwest with
XMM-Newton. We divided the observed region into two parts, the north path and
the south path, and studied the X-ray spectra along two paths. The spectra can
be well fitted either by a one-component non-equilibrium ionization (NEI) model
or by a two-component NEI model. The rim regions can be well fitted by a
one-component model with relatively low \kTe whose metal abundances are
sub-solar (0.1--0.2). The major part of the paths requires a two-component
model. Due to projection effects, we concluded that the low kTe (about 0.2 keV)
component surrounds the high kTe (about 0.6 keV) component, with the latter
having relatively high metal abundances (about 5 times solar). Since the Cygnus
Loop is thought to originate in a cavity explosion, the low-kTe component
originates from the cavity wall while the high-kTe component originates from
the ejecta. The flux of the cavity wall component shows a large variation along
our path. We found it to be very thin in the south-west region, suggesting a
blowout along our line of sight. The metal distribution inside the ejecta shows
non-uniformity, depending on the element. O, Ne and Mg are relatively more
abundant in the outer region while Si, S and Fe are concentrated in the inner
region, with all metals showing strong asymmetry. This observational evidence
implies an asymmetric explosion of the progenitor star. The abundance of the
ejecta also indicates the progenitor star to be about 15 M_sun.
| astro-ph | the cygnus loop was observed from the northeast to the southwest with xmmnewton we divided the observed region into two parts the north path and the south path and studied the xray spectra along two paths the spectra can be well fitted either by a onecomponent nonequilibrium ionization nei model or by a twocomponent nei model the rim regions can be well fitted by a onecomponent model with relatively low kte whose metal abundances are subsolar 0102 the major part of the paths requires a twocomponent model due to projection effects we concluded that the low kte about 02 kev component surrounds the high kte about 06 kev component with the latter having relatively high metal abundances about 5 times solar since the cygnus loop is thought to originate in a cavity explosion the lowkte component originates from the cavity wall while the highkte component originates from the ejecta the flux of the cavity wall component shows a large variation along our path we found it to be very thin in the southwest region suggesting a blowout along our line of sight the metal distribution inside the ejecta shows nonuniformity depending on the element o ne and mg are relatively more abundant in the outer region while si s and fe are concentrated in the inner region with all metals showing strong asymmetry this observational evidence implies an asymmetric explosion of the progenitor star the abundance of the ejecta also indicates the progenitor star to be about 15 m_sun | [['the', 'cygnus', 'loop', 'was', 'observed', 'from', 'the', 'northeast', 'to', 'the', 'southwest', 'with', 'xmmnewton', 'we', 'divided', 'the', 'observed', 'region', 'into', 'two', 'parts', 'the', 'north', 'path', 'and', 'the', 'south', 'path', 'and', 'studied', 'the', 'xray', 'spectra', 'along', 'two', 'paths', 'the', 'spectra', 'can', 'be', 'well', 'fitted', 'either', 'by', 'a', 'onecomponent', 'nonequilibrium', 'ionization', 'nei', 'model', 'or', 'by', 'a', 'twocomponent', 'nei', 'model', 'the', 'rim', 'regions', 'can', 'be', 'well', 'fitted', 'by', 'a', 'onecomponent', 'model', 'with', 'relatively', 'low', 'kte', 'whose', 'metal', 'abundances', 'are', 'subsolar', '0102', 'the', 'major', 'part', 'of', 'the', 'paths', 'requires', 'a', 'twocomponent', 'model', 'due', 'to', 'projection', 'effects', 'we', 'concluded', 'that', 'the', 'low', 'kte', 'about', '02', 'kev', 'component', 'surrounds', 'the', 'high', 'kte', 'about', '06', 'kev', 'component', 'with', 'the', 'latter', 'having', 'relatively', 'high', 'metal', 'abundances', 'about', '5', 'times', 'solar', 'since', 'the', 'cygnus', 'loop', 'is', 'thought', 'to', 'originate', 'in', 'a', 'cavity', 'explosion', 'the', 'lowkte', 'component', 'originates', 'from', 'the', 'cavity', 'wall', 'while', 'the', 'highkte', 'component', 'originates', 'from', 'the', 'ejecta', 'the', 'flux', 'of', 'the', 'cavity', 'wall', 'component', 'shows', 'a', 'large', 'variation', 'along', 'our', 'path', 'we', 'found', 'it', 'to', 'be', 'very', 'thin', 'in', 'the', 'southwest', 'region', 'suggesting', 'a', 'blowout', 'along', 'our', 'line', 'of', 'sight', 'the', 'metal', 'distribution', 'inside', 'the', 'ejecta', 'shows', 'nonuniformity', 'depending', 'on', 'the', 'element', 'o', 'ne', 'and', 'mg', 'are', 'relatively', 'more', 'abundant', 'in', 'the', 'outer', 'region', 'while', 'si', 's', 'and', 'fe', 'are', 'concentrated', 'in', 'the', 'inner', 'region', 'with', 'all', 'metals', 'showing', 'strong', 'asymmetry', 'this', 'observational', 'evidence', 'implies', 'an', 'asymmetric', 'explosion', 'of', 'the', 'progenitor', 'star', 'the', 'abundance', 'of', 'the', 'ejecta', 'also', 'indicates', 'the', 'progenitor', 'star', 'to', 'be', 'about', '15', 'm_sun']] | [-0.06314962384383371, 0.14218777330995958, -0.046131773912140475, 0.06496135969288074, -0.042731062251073405, -0.10519092546979546, 0.03419458506787233, 0.4280922167523489, -0.2136400562454428, -0.3353942165807312, 0.046921639742804805, -0.3139704571478823, 0.0046585492840647575, 0.15732052943081057, -0.017993122144594698, -0.11032603684528108, 0.05804290314325648, -0.0572633806989351, -0.0490425914113112, -0.17265543912590184, 0.26092994851367746, 0.06354960844557929, 0.190817615603849, 0.05143088822701742, 0.05129457331311546, -0.11538072382495833, -0.0011920612258271047, 0.0016149020242893141, -0.07659504186496471, 0.0670475216859552, 0.19202114697470357, 0.0645486063805601, 0.17703064500546528, -0.38883387015732795, -0.25583543228376693, 0.023632859172080814, 0.2118885115152866, 0.011547344629294597, -0.033227471067103075, -0.25757549832262067, 0.04842470843073448, -0.2054689944936679, -0.19937400452166734, 0.14073050413129903, 0.007378448012024768, -0.005014181710677862, -0.22129291660733982, 0.11156428506612487, 0.036077133918120736, 0.055024144013491476, -0.0888714751564268, -0.13893778628371806, -0.08222297665395355, 0.031182021468214177, 0.053784568293532925, 0.0734182976182505, 0.18842692190106308, -0.10660007612889082, 0.01446261895473609, 0.4040559766025128, -0.07028609782887194, -0.009004096694758185, 0.19533553156956487, -0.23019615694199905, -0.1079756843476643, 0.2426572957053509, 0.076569648616031, 0.09799000009213789, -0.11572694406926684, 0.020057241608877008, -0.04339239497288217, 0.22214918697218936, 0.041359810149184, -0.0062335690932144765, 0.3085792295166434, 0.10760266101694768, 0.0220755516793692, 0.14695233611110975, -0.22141045184856892, -0.09554172618982008, -0.255593809608355, -0.11549037060538224, -0.10066185074411559, 0.05946683073849964, -0.13987416798519423, -0.15481885945281157, 0.35512598616783675, 0.06270033006885312, 0.2638765141322666, -0.04619266797679095, 0.30475439712488156, 0.09864846766249537, 0.07579481655068183, 0.14620480164018299, 0.28958638905083783, 0.19845511025828327, 0.11584432083678098, -0.2300922110316679, 0.12829486281622338, 0.012825029036821986] |
710.1136 | Inverse problems for Einstein manifolds | We show that the Dirichlet-to-Neumann operator of the Laplacian on an open
subset of the boundary of a connected compact Einstein manifold with boundary
determines the manifold up to isometries. Similarly, for connected conformally
compact Einstein manifolds of even dimension $n+1$, we prove that the
scattering matrix at energy $n$ on an open subset of its boundary determines
the manifold up to isometries.
| math.DG | we show that the dirichlettoneumann operator of the laplacian on an open subset of the boundary of a connected compact einstein manifold with boundary determines the manifold up to isometries similarly for connected conformally compact einstein manifolds of even dimension n1 we prove that the scattering matrix at energy n on an open subset of its boundary determines the manifold up to isometries | [['we', 'show', 'that', 'the', 'dirichlettoneumann', 'operator', 'of', 'the', 'laplacian', 'on', 'an', 'open', 'subset', 'of', 'the', 'boundary', 'of', 'a', 'connected', 'compact', 'einstein', 'manifold', 'with', 'boundary', 'determines', 'the', 'manifold', 'up', 'to', 'isometries', 'similarly', 'for', 'connected', 'conformally', 'compact', 'einstein', 'manifolds', 'of', 'even', 'dimension', 'n1', 'we', 'prove', 'that', 'the', 'scattering', 'matrix', 'at', 'energy', 'n', 'on', 'an', 'open', 'subset', 'of', 'its', 'boundary', 'determines', 'the', 'manifold', 'up', 'to', 'isometries']] | [-0.19788287819496223, 0.09522085691966663, -0.01789617905068019, 0.013179193620407393, -0.11544589469918892, -0.1241521839022873, -0.03897103025681443, 0.36686046037172515, -0.26324495750050697, -0.19593735388110553, 0.15146795490254011, -0.3245875749086577, -0.112992907863199, 0.1525239743114937, -0.10277831372583196, 0.02895357369515483, 0.08180941798029438, 0.16816067784315064, -0.09633045555979368, -0.25148093656060244, 0.53218310964959, -0.05803614162233851, 0.1894315676357124, 0.10807834541986859, 0.17238034405523822, -0.057352638134496314, 0.024077964421834738, 0.013600496227838217, -0.11477406382942314, 0.12642190940604206, 0.22922830890479778, 0.06216631916957715, 0.1731402768443028, -0.4064887345191978, -0.1874795195365709, 0.13658535408063066, 0.12230779997827042, -0.006825715732125062, 0.03139711986665451, -0.34407130415950504, 0.10596864870823329, -0.025348712054509965, -0.25313070898372975, -0.04146322451295361, 0.030458305829337666, -0.11645211128606683, -0.23763892258561792, -0.0075655920460583675, 0.07450382053733819, -0.01932489764063604, -0.1388958171028496, -0.05414837785065174, -0.05180980588146855, 0.10892106843040517, -0.04431486578421697, 0.1001998381097875, 0.10886653628762043, -0.05522160359200031, -0.05779107126392542, 0.3216315167660396, -0.09933275251930195, -0.3181970566215496, 0.13214836778148772, -0.1774856892251779, -0.1357097817910096, 0.11440421286083403, 0.13956516501974195, 0.1639024926319955, -0.09770438287939344, 0.2210420821867292, -0.0889042853987554, 0.14072315824691148, 0.11191791371398029, -0.015108676479449348, 0.11190892850595807, 0.14786912759559023, 0.23705871848182547, 0.11076296858548645, 0.01990957484610142, -0.02077860524138761, -0.385546490150903, -0.18721878110238957, -0.19952889402130886, 0.23469126273301386, -0.19435627753328946, -0.22516846443925584, 0.3476300794808638, 0.022378959899975195, 0.22135224731432068, 0.08042827922673453, 0.17933389334569846, 0.0574998809394264, 0.04937748655322052, 0.20707606204179307, 0.14849668259303722, 0.19660404608363197, -0.015304689354721516, -0.25508498140270747, -0.1440825017449993, 0.14197092401307254] |
710.1137 | Finite-size scaling of synchronized oscillation on complex networks | The onset of synchronization in a system of random frequency oscillators
coupled through a random network is investigated. Using a mean-field
approximation, we characterize sample-to-sample fluctuations for networks of
finite size, and derive the corresponding scaling properties in the critical
region. For scale-free networks with the degree distribution $P(k)\sim
k^{-\gamma}$ at large $k$, we found that the finite size exponent $\bar{\nu}$
takes on the value 5/2 when $\gamma>5$, the same as in the globally coupled
Kuramoto model. For highly heterogeneous networks ($3<\gamma <5$), $\bar{\nu}$
and the order parameter exponent $\beta$ depend on $\gamma$. The analytic
expressions for these exponents obtained from the mean field theory are shown
to be in excellent agreement with data from extensive numerical simulations.
| cond-mat.stat-mech | the onset of synchronization in a system of random frequency oscillators coupled through a random network is investigated using a meanfield approximation we characterize sampletosample fluctuations for networks of finite size and derive the corresponding scaling properties in the critical region for scalefree networks with the degree distribution pksim kgamma at large k we found that the finite size exponent barnu takes on the value 52 when gamma5 the same as in the globally coupled kuramoto model for highly heterogeneous networks 3gamma 5 barnu and the order parameter exponent beta depend on gamma the analytic expressions for these exponents obtained from the mean field theory are shown to be in excellent agreement with data from extensive numerical simulations | [['the', 'onset', 'of', 'synchronization', 'in', 'a', 'system', 'of', 'random', 'frequency', 'oscillators', 'coupled', 'through', 'a', 'random', 'network', 'is', 'investigated', 'using', 'a', 'meanfield', 'approximation', 'we', 'characterize', 'sampletosample', 'fluctuations', 'for', 'networks', 'of', 'finite', 'size', 'and', 'derive', 'the', 'corresponding', 'scaling', 'properties', 'in', 'the', 'critical', 'region', 'for', 'scalefree', 'networks', 'with', 'the', 'degree', 'distribution', 'pksim', 'kgamma', 'at', 'large', 'k', 'we', 'found', 'that', 'the', 'finite', 'size', 'exponent', 'barnu', 'takes', 'on', 'the', 'value', '52', 'when', 'gamma5', 'the', 'same', 'as', 'in', 'the', 'globally', 'coupled', 'kuramoto', 'model', 'for', 'highly', 'heterogeneous', 'networks', '3gamma', '5', 'barnu', 'and', 'the', 'order', 'parameter', 'exponent', 'beta', 'depend', 'on', 'gamma', 'the', 'analytic', 'expressions', 'for', 'these', 'exponents', 'obtained', 'from', 'the', 'mean', 'field', 'theory', 'are', 'shown', 'to', 'be', 'in', 'excellent', 'agreement', 'with', 'data', 'from', 'extensive', 'numerical', 'simulations']] | [-0.14812091750342407, 0.16250948853676317, -0.05676223045230796, 0.048935639487492646, 0.02355315387781741, -0.1503501144766618, 0.060125838555750766, 0.34094977563235246, -0.22364186486268764, -0.24113730412229137, 0.05639936217359441, -0.3073944259845352, -0.16535690531402952, 0.19911772041123801, 0.05635082873025459, 0.08984094121793317, 0.007023645036111949, 0.08768826000041217, -0.029034565929994302, -0.1877646679532225, 0.2784448724113784, 0.059499188231588424, 0.3081331595273341, 0.0026421896152403522, 0.050656363878091325, -0.03164152647329147, 0.0048068982501656326, 0.05176320387014993, -0.19770999996898492, 0.02947729922262794, 0.21077485844765206, 0.02082477701764743, 0.22516023724387257, -0.372710107399498, -0.2230868944247111, 0.12766430260203146, 0.17432105785306795, 0.0658229199411758, 0.022245474258127968, -0.28738226068711253, 0.1291728171656082, -0.16148504449197157, -0.14805271707759318, -0.06495139076200834, 0.034978413414723096, 0.07655140467903625, -0.34399852016151455, 0.10236633043949318, -0.02651019634331687, 0.08944589104029839, -0.043961414759505095, -0.1373373146703609, -0.006550726330823312, 0.11948604615019452, 0.01466348135579472, 0.0209028104564838, 0.10596139264150949, -0.142169882403292, -0.08522566552402183, 0.3391868855362221, -0.07732173006772458, -0.19841930687218368, 0.1392714149650123, -0.19032276103715018, -0.13151618948016883, 0.15845055951760545, 0.1970960880961206, 0.07437771616377316, -0.11512532439716733, 0.11194827936301639, -0.007253986605742978, 0.19801410682838788, 0.0143455227312111, 0.015300885724311722, 0.12915226128899446, 0.18628526009990187, 0.03386990041807452, 0.13132453151935145, -0.0749875445045152, -0.15870788167783265, -0.2922778872267927, -0.055599448162819635, -0.2122628366322083, 0.09333004831273298, -0.21202525764805366, -0.15469545119326616, 0.3788727907921677, 0.12196122410202051, 0.22478900450850064, 0.12999280324103152, 0.2180423078655514, 0.14652735780889042, 0.026996350140800162, 0.11044022221891683, 0.22808640035879563, 0.18076269129701591, 0.09461650080678953, -0.2548529686429932, 0.06323399350946864, 0.0359360155870475] |
710.1138 | The running of the bare coupling in SU(N) gauge theories | For N>4 there is a first order bulk transition that cleanly separates the
strong and weak coupling regimes of SU(N) lattice gauge theories with the
plaquette action. We find that in this case the calculated string tension can
be readily fitted throughout the weak coupling region by a standard 3-loop
perturbative expression modified by lattice spacing corrections of the expected
form. While our fits demand the presence of the latter, they are not
constraining enough to tell us which of the various bare coupling schemes is a
`good' one, in the sense that terms in the beta-function beyond 3-loops are
indeed negligible (in the relevant range of scales). To resolve this ambiguity
we work in SU(3), using the Schrodinger Functional coupling scheme as a
benchmark, and find that the Parisi mean-field improved coupling scheme matches
it very well. Using the latter scheme, we have fitted the values of the string
tension that have been calculated for SU(3) to SU(8), to obtain
Lambda_MSbar/sqrt(sigma) = 0.503(2)(40) + 0.33(3)(3)/N**2, where the first
error is statistical and the second is our estimate of the systematic error
from all sources.
| hep-lat | for n4 there is a first order bulk transition that cleanly separates the strong and weak coupling regimes of sun lattice gauge theories with the plaquette action we find that in this case the calculated string tension can be readily fitted throughout the weak coupling region by a standard 3loop perturbative expression modified by lattice spacing corrections of the expected form while our fits demand the presence of the latter they are not constraining enough to tell us which of the various bare coupling schemes is a good one in the sense that terms in the betafunction beyond 3loops are indeed negligible in the relevant range of scales to resolve this ambiguity we work in su3 using the schrodinger functional coupling scheme as a benchmark and find that the parisi meanfield improved coupling scheme matches it very well using the latter scheme we have fitted the values of the string tension that have been calculated for su3 to su8 to obtain lambda_msbarsqrtsigma 0503240 03333n2 where the first error is statistical and the second is our estimate of the systematic error from all sources | [['for', 'n4', 'there', 'is', 'a', 'first', 'order', 'bulk', 'transition', 'that', 'cleanly', 'separates', 'the', 'strong', 'and', 'weak', 'coupling', 'regimes', 'of', 'sun', 'lattice', 'gauge', 'theories', 'with', 'the', 'plaquette', 'action', 'we', 'find', 'that', 'in', 'this', 'case', 'the', 'calculated', 'string', 'tension', 'can', 'be', 'readily', 'fitted', 'throughout', 'the', 'weak', 'coupling', 'region', 'by', 'a', 'standard', '3loop', 'perturbative', 'expression', 'modified', 'by', 'lattice', 'spacing', 'corrections', 'of', 'the', 'expected', 'form', 'while', 'our', 'fits', 'demand', 'the', 'presence', 'of', 'the', 'latter', 'they', 'are', 'not', 'constraining', 'enough', 'to', 'tell', 'us', 'which', 'of', 'the', 'various', 'bare', 'coupling', 'schemes', 'is', 'a', 'good', 'one', 'in', 'the', 'sense', 'that', 'terms', 'in', 'the', 'betafunction', 'beyond', '3loops', 'are', 'indeed', 'negligible', 'in', 'the', 'relevant', 'range', 'of', 'scales', 'to', 'resolve', 'this', 'ambiguity', 'we', 'work', 'in', 'su3', 'using', 'the', 'schrodinger', 'functional', 'coupling', 'scheme', 'as', 'a', 'benchmark', 'and', 'find', 'that', 'the', 'parisi', 'meanfield', 'improved', 'coupling', 'scheme', 'matches', 'it', 'very', 'well', 'using', 'the', 'latter', 'scheme', 'we', 'have', 'fitted', 'the', 'values', 'of', 'the', 'string', 'tension', 'that', 'have', 'been', 'calculated', 'for', 'su3', 'to', 'su8', 'to', 'obtain', 'lambda_msbarsqrtsigma', '0503240', '03333n2', 'where', 'the', 'first', 'error', 'is', 'statistical', 'and', 'the', 'second', 'is', 'our', 'estimate', 'of', 'the', 'systematic', 'error', 'from', 'all', 'sources']] | [-0.09969825209735877, 0.12185220485450236, -0.08584807940878718, 0.10262552142601193, -0.03850240978728774, -0.13027369290286706, 0.06354409955054115, 0.3495029177753389, -0.2140470685975019, -0.30004746479224104, 0.07044199016829567, -0.26133686526889466, -0.10524888353156008, 0.1578770674693074, 0.009048671056278492, 0.03101819870520437, 0.02661317743770058, 0.040199474683700345, -0.08100919521128172, -0.23820185677138112, 0.3005803596422601, 0.03366205643203871, 0.27628864587711693, 0.08522513989379722, 0.059067157910138536, -0.04780483880924133, 0.01927430392242968, 0.03526528259399681, -0.12707722196147234, 0.10304155700469585, 0.21558479880090822, 0.0027111650313358777, 0.19404601261987048, -0.380075050965569, -0.22480573986614513, 0.06350484466596985, 0.15778521408368087, 0.15606531247725577, 0.00019220735051911017, -0.26174517357027294, 0.0754754102469849, -0.1885646897064553, -0.11340792153290478, -0.1106649370148819, -0.012947768024400452, -0.03444863148889046, -0.309256980777075, 0.10000186479773929, -0.005686669851632696, 0.0023639991214416552, -0.029661203540979952, -0.10392337846080901, -0.028140653415521327, 0.16005618831410345, 0.10254543780597462, 0.0863666528545176, 0.0806548567025701, -0.14200721447258283, -0.08395707467892491, 0.4263769392829738, -0.10977004183963127, -0.18053516188446042, 0.14317667841633464, -0.16057451413584184, -0.15380040177746127, 0.12915526979566855, 0.09619454845518532, 0.09773479626920506, -0.14790541932336698, 0.13360444610090721, -0.03442299620953301, 0.19044562577892568, 0.0567683664996959, 0.031197379464129222, 0.1769955407015115, 0.11962382086341716, 0.027452712497823144, 0.10019190800800734, -0.0620928542220255, -0.12934035886830306, -0.37323748574525284, -0.07953422125660459, -0.16919656474341366, 0.02986571606988594, -0.12292571550851639, -0.14625294111091489, 0.34659034094999713, 0.17662727176494772, 0.18234510955179511, 0.06639431704682149, 0.25289963555486245, 0.14659594177996524, 0.10403674876687853, 0.050001715012246845, 0.3237301093521039, 0.1281235514887871, 0.05248100917595979, -0.26513588252282466, 0.0070547822834563685, 0.08933895873420393] |
710.1139 | Kinetic Economies | We study a minimalist kinetic model for economies. A system of agents with
local trading rules display emergent demand behaviour. We examine the resulting
wealth distribution to look for non-thermal behaviour. We compare and contrast
this model with other similar models.
| q-fin.GN physics.soc-ph | we study a minimalist kinetic model for economies a system of agents with local trading rules display emergent demand behaviour we examine the resulting wealth distribution to look for nonthermal behaviour we compare and contrast this model with other similar models | [['we', 'study', 'a', 'minimalist', 'kinetic', 'model', 'for', 'economies', 'a', 'system', 'of', 'agents', 'with', 'local', 'trading', 'rules', 'display', 'emergent', 'demand', 'behaviour', 'we', 'examine', 'the', 'resulting', 'wealth', 'distribution', 'to', 'look', 'for', 'nonthermal', 'behaviour', 'we', 'compare', 'and', 'contrast', 'this', 'model', 'with', 'other', 'similar', 'models']] | [-0.09298441967949635, 0.0721432906461925, -0.16119892063845948, 0.15844913257183735, -0.07966136691592089, -0.18070115017273078, 0.06129007461685233, 0.42022788197529026, -0.2615088139243265, -0.31527207031414456, 0.03512617474330998, -0.30475896142604875, -0.15423430411553965, 0.10908260349774869, -0.03525363927935648, -0.019790333127830087, -0.005050116079495993, -0.011354471426230014, 0.027000476333607987, -0.17764853222704516, 0.29454015227170977, 0.05686356626144361, 0.30726227100665976, -0.037069316187493005, 0.09720961472428427, -0.03613924917838786, -0.009291606932515052, 0.07251026379171668, -0.1599396624114001, 0.1477726596612029, 0.16225365810949857, 0.11446696138236581, 0.26018496825382476, -0.44462136233725197, -0.238243575934775, 0.17334768298740794, 0.06998502372241602, 0.10671907922298443, -0.001816400673194993, -0.2075747583606621, 0.016324586234986782, -0.26322707211280744, -0.17924938918795527, -0.13347599537270824, -0.022062721639508155, 0.07229132763473545, -0.26297432307449237, 0.07091085976216852, 0.022948196316819366, 0.09784645042041452, -0.12585982559930262, -0.08154215217034173, -0.00596151223815069, 0.1211140705726859, 0.10047810010771017, -0.0950532618217261, 0.13633587605478922, -0.21279717540572873, -0.15609455058669172, 0.40541624377776936, -0.0863449814368789, -0.11413828034817082, 0.2399296248104514, -0.16615900887948712, -0.16528082952448508, 0.04527783307542161, 0.23767539767957316, 0.0719751970524468, -0.19220348249939156, 0.029774523656758502, -0.06011835727045631, 0.18031594616065666, -0.03583777467038755, 0.041060368734888913, 0.23781466007050944, 0.22362249108917284, 0.036125695605467, 0.17449344528935531, -0.02867148998307019, -0.21148736693146752, -0.2653104121819502, -0.11646863104911839, -0.06645539427948434, 0.05288872503811812, -0.09032465641283169, -0.14820970553995633, 0.395306263573286, 0.21342252231793615, 0.2098042344839375, 0.1595236490503317, 0.23443256386714736, 0.1448173426182532, -0.012795441647673525, 0.10155810931379475, 0.17231859671088254, -0.010123284351898403, 0.16528066724720525, -0.2125209847510588, 0.09560084285032822, 0.007248685899667624] |
710.114 | Star Formation Density and Halpha Luminosity Function of an Emission
Line Selected Galaxy Sample at z ~ 0.24 | We use narrowband imaging (FWHM = 70 A) to select a sample of emission line
galaxies between 0.20 <~ z <~ 1.22 in two fields covering 0.5 sq. deg. We use
spectroscopic follow-up to select a sub-sample of Halpha emitting galaxies at z
~ 0.24 and determine the Halpha luminosity function and star formation density
at z ~ 0.24 for both of our fields. Corrections are made for imaging and
spectroscopic incompleteness, extinction and interloper contamination on the
basis of the spectroscopic data. When compared to each other, we find the field
samples differ by \Delta \alpha = 0.2 in faint end slope and \Delta \log [ L*
(ergs/s) ] = 0.2 in luminosity. In the context of other recent surveys, our
sample has comparable faint end slope, but a fainter L* turn-over. We conclude
that systematic uncertainties and differences in selection criteria remain the
dominant sources of uncertainty between Halpha luminosity functions at this
redshift.
We also investigate average star formation rates as a function of local
environment and find typical values consistent with the field densities that we
probe, in agreement with previous results. However, we find tentative evidence
for an increase in star formation rate with respect to the local density of
star forming galaxies, consistent with the scenario that galaxy-galaxy
interactions are triggers for bursts of star formation.
| astro-ph | we use narrowband imaging fwhm 70 a to select a sample of emission line galaxies between 020 z 122 in two fields covering 05 sq deg we use spectroscopic followup to select a subsample of halpha emitting galaxies at z 024 and determine the halpha luminosity function and star formation density at z 024 for both of our fields corrections are made for imaging and spectroscopic incompleteness extinction and interloper contamination on the basis of the spectroscopic data when compared to each other we find the field samples differ by delta alpha 02 in faint end slope and delta log l ergss 02 in luminosity in the context of other recent surveys our sample has comparable faint end slope but a fainter l turnover we conclude that systematic uncertainties and differences in selection criteria remain the dominant sources of uncertainty between halpha luminosity functions at this redshift we also investigate average star formation rates as a function of local environment and find typical values consistent with the field densities that we probe in agreement with previous results however we find tentative evidence for an increase in star formation rate with respect to the local density of star forming galaxies consistent with the scenario that galaxygalaxy interactions are triggers for bursts of star formation | [['we', 'use', 'narrowband', 'imaging', 'fwhm', '70', 'a', 'to', 'select', 'a', 'sample', 'of', 'emission', 'line', 'galaxies', 'between', '020', 'z', '122', 'in', 'two', 'fields', 'covering', '05', 'sq', 'deg', 'we', 'use', 'spectroscopic', 'followup', 'to', 'select', 'a', 'subsample', 'of', 'halpha', 'emitting', 'galaxies', 'at', 'z', '024', 'and', 'determine', 'the', 'halpha', 'luminosity', 'function', 'and', 'star', 'formation', 'density', 'at', 'z', '024', 'for', 'both', 'of', 'our', 'fields', 'corrections', 'are', 'made', 'for', 'imaging', 'and', 'spectroscopic', 'incompleteness', 'extinction', 'and', 'interloper', 'contamination', 'on', 'the', 'basis', 'of', 'the', 'spectroscopic', 'data', 'when', 'compared', 'to', 'each', 'other', 'we', 'find', 'the', 'field', 'samples', 'differ', 'by', 'delta', 'alpha', '02', 'in', 'faint', 'end', 'slope', 'and', 'delta', 'log', 'l', 'ergss', '02', 'in', 'luminosity', 'in', 'the', 'context', 'of', 'other', 'recent', 'surveys', 'our', 'sample', 'has', 'comparable', 'faint', 'end', 'slope', 'but', 'a', 'fainter', 'l', 'turnover', 'we', 'conclude', 'that', 'systematic', 'uncertainties', 'and', 'differences', 'in', 'selection', 'criteria', 'remain', 'the', 'dominant', 'sources', 'of', 'uncertainty', 'between', 'halpha', 'luminosity', 'functions', 'at', 'this', 'redshift', 'we', 'also', 'investigate', 'average', 'star', 'formation', 'rates', 'as', 'a', 'function', 'of', 'local', 'environment', 'and', 'find', 'typical', 'values', 'consistent', 'with', 'the', 'field', 'densities', 'that', 'we', 'probe', 'in', 'agreement', 'with', 'previous', 'results', 'however', 'we', 'find', 'tentative', 'evidence', 'for', 'an', 'increase', 'in', 'star', 'formation', 'rate', 'with', 'respect', 'to', 'the', 'local', 'density', 'of', 'star', 'forming', 'galaxies', 'consistent', 'with', 'the', 'scenario', 'that', 'galaxygalaxy', 'interactions', 'are', 'triggers', 'for', 'bursts', 'of', 'star', 'formation']] | [-0.05108176875627762, 0.07053922720210017, -0.037640570122103686, 0.10789070246159646, -0.06850623049305428, -0.06608884359443201, 0.08452995234942982, 0.4780759280022811, -0.13169751363749585, -0.3613700215377355, 0.0328727432558348, -0.34058430354972263, 0.009229162839097036, 0.18663127783537262, -0.006882411777588403, -0.03774381535472906, 0.03575314912713295, -0.08822593747467643, -0.07750204762168166, -0.2624162164529864, 0.28311567146991307, 0.057243351094389744, 0.20690001888493592, -0.042925476595024825, 0.029183219706184916, -0.05915473829167829, -0.10671129584653487, -0.017461223745316338, -0.22017812850595284, 0.004793109538409631, 0.25430713436990415, 0.10446251514411484, 0.2489831084927966, -0.2868948930547493, -0.1701498278985106, 0.08109911049807995, 0.19214803281073742, 0.021687752598931603, -0.08168601887650404, -0.23267273439483568, 0.06912388715197818, -0.16191668391619599, -0.15596352198965707, 0.0807546392179361, 0.06844589250061678, 0.049712739903982645, -0.27234507141582354, 0.18089679250711718, -0.03691867345609558, 0.11349960403438185, -0.0999939642057365, -0.11261918499383708, -0.07054513380884635, 0.04257220244365788, 0.004736468616759343, 0.14099876945750883, 0.17249287770483906, -0.17914697860079018, -0.024330086717513244, 0.34906803245520646, -0.08840806971898765, -0.005367918862598323, 0.2121070027220207, -0.23191213432345276, -0.2033884927429294, 0.15856145293137033, 0.16023230263438654, 0.09994987674612779, -0.13771949198782638, -0.011494753413075065, 0.02954754970875949, 0.24317153797707927, 0.027960327733745318, 0.10716827098957778, 0.28406104591495834, 0.10510792311044856, 0.05732066841892233, 0.07037756534920735, -0.24922678180524266, 0.007102590100183873, -0.2891562186736841, -0.08850544028228997, -0.09984798356234817, 0.0986722894701582, -0.13589959928035975, -0.08851546901764629, 0.31989217406584763, 0.14072922039820765, 0.261254840120542, 0.11508001994849631, 0.24613805665490282, 0.1031830834772464, 0.10608280732930338, 0.07623177317207233, 0.31149304962712626, 0.17139854475401098, 0.04055446658738202, -0.2282481668844924, 0.04630239438232769, -0.038994938229153835] |
710.1141 | Supersymmetric Tuned Inflation | We address an issue what kind of tuning realizes a flat potential for
inflaton in supergravity. We restrict ourselves to the case that inflationary
dynamics is not affected by separate supersymmetry-breaking effects, and
consider examples of a single chiral superfield as an inflaton with its vacuum
of the vanishing cosmological constant. The examples potentially include the
cases of Polonyi field or right-handed sneutrino as an inflaton.
| hep-ph | we address an issue what kind of tuning realizes a flat potential for inflaton in supergravity we restrict ourselves to the case that inflationary dynamics is not affected by separate supersymmetrybreaking effects and consider examples of a single chiral superfield as an inflaton with its vacuum of the vanishing cosmological constant the examples potentially include the cases of polonyi field or righthanded sneutrino as an inflaton | [['we', 'address', 'an', 'issue', 'what', 'kind', 'of', 'tuning', 'realizes', 'a', 'flat', 'potential', 'for', 'inflaton', 'in', 'supergravity', 'we', 'restrict', 'ourselves', 'to', 'the', 'case', 'that', 'inflationary', 'dynamics', 'is', 'not', 'affected', 'by', 'separate', 'supersymmetrybreaking', 'effects', 'and', 'consider', 'examples', 'of', 'a', 'single', 'chiral', 'superfield', 'as', 'an', 'inflaton', 'with', 'its', 'vacuum', 'of', 'the', 'vanishing', 'cosmological', 'constant', 'the', 'examples', 'potentially', 'include', 'the', 'cases', 'of', 'polonyi', 'field', 'or', 'righthanded', 'sneutrino', 'as', 'an', 'inflaton']] | [-0.1661589074823441, 0.22524228806243185, 0.019259444875360437, 0.12366079407299614, -0.14183212950769247, -0.23190338224539478, -0.03484935453867145, 0.31552000906120875, -0.220683768850215, -0.2625932939029581, 0.07704596892951733, -0.21684869584825003, -0.13267302080974774, 0.14257405103522947, -0.08769702592469526, -0.010987916002649757, -0.014085362227915815, 0.028027338850678818, -0.002341132628674986, -0.3066564080425341, 0.3643218171923901, 0.039387371320503226, 0.14163476244588805, 0.03623810140274917, 0.0895861072578665, -0.05396417353415128, 0.03807812934797822, -0.07499605499957727, -0.12662613160864566, 0.011556373041292483, 0.15009696844429005, 0.06182112375443632, 0.23882433474346093, -0.42545161523263564, -0.2585378374876172, 0.221347018624797, 0.17208821484184061, 0.17525846592969063, -0.050745627440681514, -0.26689706457369594, 0.04511536229190163, -0.19559362915937195, -0.1676457709082487, -0.11342365047003665, -0.05413773940050636, -0.16352986222641033, -0.3092523297069199, 0.07470351896446312, -0.01786327332427556, -0.005891086674775138, -0.0457256375088808, -0.05321568803805293, -0.050129226352455036, 0.03877212876580994, 0.20035401085977245, -0.00013769865671003407, 0.20137459118003873, -0.2694960262584077, -0.1205537629835872, 0.4248890234721881, -0.14492943582379006, -0.22853155672606645, 0.04381427944242729, -0.06003935062185382, -0.15367367937737567, 0.06103294894053375, 0.11554085071001088, 0.1442290615064628, -0.13294323850057094, 0.24691823048598247, 0.009924260730093176, 0.15995345344929252, 0.08399548690596764, 0.023625233196512316, 0.32376825239396456, 0.11987432392991403, 0.07613359375902677, 0.15523547751151703, 0.008534075593519392, -0.10000158651647242, -0.4671951700001955, -0.09521174611820077, -0.14884869114030153, 0.08499067577654248, -0.11501956084777537, -0.2143277394387758, 0.4464401426358205, 0.13432311937636274, 0.2133340270075044, 0.007068130639240597, 0.26421534690554394, 0.053299277131869036, 0.06181091004912036, -0.014761965489014983, 0.32288884552139224, 0.11211152002568159, 0.11464210550272555, -0.2326672166148483, -0.0986302604221485, 0.026175214457466747] |
710.1142 | Millimeter observations of Planetary Nebulae: a contribution to the
Planck pre-launch catalogue | We present new millimetre 43 GHz observations of a sample of radio-bright
Planetary Nebulae. Such observations were carried out to have a good
determination of the high-frequency radio spectra of the sample in order to
evaluate, together with far-IR measurements (IRAS), the fluxes emitted by the
selected source in the millimetre and sub-millimetre band. This spectral range,
even very important to constraint the physics of circumstellar environment, is
still far to be completely exploited. To estimate the millimetre and
sub-millimetre fluxes, we extrapolated and summed together the ionized gas
(free-free radio emission) and dust (thermal emission) contributions at this
frequency range. By comparison of the derived flux densities to the foreseen
sensitivity we investigate the possible detection of such source for all the
channels of the forthcoming ESA's PLANCK mission. We conclude that almost 80%
of our sample will be detected by PLANCK, with the higher detection rate in the
higher frequency channels, where there is a good combination of brighter
intrinsic flux from the sources and reduced extended Galactic foregrounds
contamination despite a worst instrumental sensitivity. From the new 43 GHz,
combined with single-dish 5 GHz observations from the literature, we derive
radio spectral indexes, which are consistent with optically thin free-free
nebula. This result indicates that the high frequency radio spectrum of our
sample sources is dominated by thermal free-free and other emission, if
present, are negligible.
| astro-ph | we present new millimetre 43 ghz observations of a sample of radiobright planetary nebulae such observations were carried out to have a good determination of the highfrequency radio spectra of the sample in order to evaluate together with farir measurements iras the fluxes emitted by the selected source in the millimetre and submillimetre band this spectral range even very important to constraint the physics of circumstellar environment is still far to be completely exploited to estimate the millimetre and submillimetre fluxes we extrapolated and summed together the ionized gas freefree radio emission and dust thermal emission contributions at this frequency range by comparison of the derived flux densities to the foreseen sensitivity we investigate the possible detection of such source for all the channels of the forthcoming esas planck mission we conclude that almost 80 of our sample will be detected by planck with the higher detection rate in the higher frequency channels where there is a good combination of brighter intrinsic flux from the sources and reduced extended galactic foregrounds contamination despite a worst instrumental sensitivity from the new 43 ghz combined with singledish 5 ghz observations from the literature we derive radio spectral indexes which are consistent with optically thin freefree nebula this result indicates that the high frequency radio spectrum of our sample sources is dominated by thermal freefree and other emission if present are negligible | [['we', 'present', 'new', 'millimetre', '43', 'ghz', 'observations', 'of', 'a', 'sample', 'of', 'radiobright', 'planetary', 'nebulae', 'such', 'observations', 'were', 'carried', 'out', 'to', 'have', 'a', 'good', 'determination', 'of', 'the', 'highfrequency', 'radio', 'spectra', 'of', 'the', 'sample', 'in', 'order', 'to', 'evaluate', 'together', 'with', 'farir', 'measurements', 'iras', 'the', 'fluxes', 'emitted', 'by', 'the', 'selected', 'source', 'in', 'the', 'millimetre', 'and', 'submillimetre', 'band', 'this', 'spectral', 'range', 'even', 'very', 'important', 'to', 'constraint', 'the', 'physics', 'of', 'circumstellar', 'environment', 'is', 'still', 'far', 'to', 'be', 'completely', 'exploited', 'to', 'estimate', 'the', 'millimetre', 'and', 'submillimetre', 'fluxes', 'we', 'extrapolated', 'and', 'summed', 'together', 'the', 'ionized', 'gas', 'freefree', 'radio', 'emission', 'and', 'dust', 'thermal', 'emission', 'contributions', 'at', 'this', 'frequency', 'range', 'by', 'comparison', 'of', 'the', 'derived', 'flux', 'densities', 'to', 'the', 'foreseen', 'sensitivity', 'we', 'investigate', 'the', 'possible', 'detection', 'of', 'such', 'source', 'for', 'all', 'the', 'channels', 'of', 'the', 'forthcoming', 'esas', 'planck', 'mission', 'we', 'conclude', 'that', 'almost', '80', 'of', 'our', 'sample', 'will', 'be', 'detected', 'by', 'planck', 'with', 'the', 'higher', 'detection', 'rate', 'in', 'the', 'higher', 'frequency', 'channels', 'where', 'there', 'is', 'a', 'good', 'combination', 'of', 'brighter', 'intrinsic', 'flux', 'from', 'the', 'sources', 'and', 'reduced', 'extended', 'galactic', 'foregrounds', 'contamination', 'despite', 'a', 'worst', 'instrumental', 'sensitivity', 'from', 'the', 'new', '43', 'ghz', 'combined', 'with', 'singledish', '5', 'ghz', 'observations', 'from', 'the', 'literature', 'we', 'derive', 'radio', 'spectral', 'indexes', 'which', 'are', 'consistent', 'with', 'optically', 'thin', 'freefree', 'nebula', 'this', 'result', 'indicates', 'that', 'the', 'high', 'frequency', 'radio', 'spectrum', 'of', 'our', 'sample', 'sources', 'is', 'dominated', 'by', 'thermal', 'freefree', 'and', 'other', 'emission', 'if', 'present', 'are', 'negligible']] | [-0.05564593381653072, 0.09966234454689914, -0.012945453788857402, 0.056922515668051205, -0.07319963943440971, -0.06688025407289769, 0.0676791896071594, 0.44918494017623917, -0.1793043015730124, -0.3414878750781175, 0.10859350200923461, -0.29796712979771944, 0.007631813144203536, 0.20114831456520055, -0.006655576328267079, -0.01248622071058957, 0.04267905900312291, -0.16006590655748631, 0.0021561682048888155, -0.18737534462071662, 0.264621272984095, 0.17002915478551428, 0.21185674389629058, 0.009954462551784306, 0.05103500841051242, -0.13242395250935018, -0.13969607896061703, -0.018315397515104002, -0.09687662113888248, 0.07372372312899313, 0.2973807980448788, 0.10230781251931152, 0.15487147463021972, -0.3601536556881879, -0.24631978343464597, 0.10018343461868577, 0.12760843480652498, 0.040274034945119386, 0.00170858940272287, -0.28920203840205505, 0.06889124923969281, -0.18069958816563067, -0.1687010734150894, 0.0508786371632532, 0.015409152442386057, 0.016434222439458537, -0.21929430942824843, 0.10450865579062389, -0.01029271792618387, 0.07446350119031933, -0.12478422427623162, -0.15550036094757408, -0.03065424980229686, 0.0972252551763111, 0.006257610928316043, 0.06298785368136921, 0.16024158471294447, -0.11768249156713911, -0.06606135585479536, 0.369813144355443, -0.11268255879388772, -0.021382888307282497, 0.21065201013507606, -0.2503746174007459, -0.18928368218999567, 0.22302317033688573, 0.12905734211336578, 0.08147136423969133, -0.17332789147177133, -0.0018900763157014958, -0.0034802661696245575, 0.2463661931011842, 0.059219046684966206, 0.11845203675329685, 0.301913030522847, 0.09024880557650432, 0.05863275740999224, 0.17934383976290524, -0.262564717372066, 0.03133573238488783, -0.2805460228582928, -0.04665666640818518, -0.18401372826436543, 0.11860743206651174, -0.0970144279106209, -0.08244146099954631, 0.35224945322801327, 0.15636800604925274, 0.15933409885718897, 0.0570979290758768, 0.3472958605219996, 0.10750543793325829, 0.08646423263093009, 0.10850612828304039, 0.3614973323485777, 0.14491037218058767, 0.11265359692969186, -0.19970158091237908, 0.01426549781292807, -0.08403956236655308] |
710.1143 | High coherence photon pair source for quantum communication | This paper reports a novel single mode source of narrow-band entangled photon
pairs at telecom wavelengths under continuous wave excitation, based on
parametric down conversion. For only 7 mW of pump power it has a created
spectral radiance of 0.08 pairs per coherence length and a bandwidth of 10 pm
(1.2 GHz). The effectively emitted spectral brightness reaches 3.9*10^5 pairs
/(s pm). Furthermore, when combined with low jitter single photon detectors,
such sources allow for the implementation of quantum communication protocols
without any active synchronization or path length stabilization. A HOM-Dip with
photons from two autonomous CW sources has been realized demonstrating the
setup's stability and performance.
| quant-ph | this paper reports a novel single mode source of narrowband entangled photon pairs at telecom wavelengths under continuous wave excitation based on parametric down conversion for only 7 mw of pump power it has a created spectral radiance of 008 pairs per coherence length and a bandwidth of 10 pm 12 ghz the effectively emitted spectral brightness reaches 39105 pairs s pm furthermore when combined with low jitter single photon detectors such sources allow for the implementation of quantum communication protocols without any active synchronization or path length stabilization a homdip with photons from two autonomous cw sources has been realized demonstrating the setups stability and performance | [['this', 'paper', 'reports', 'a', 'novel', 'single', 'mode', 'source', 'of', 'narrowband', 'entangled', 'photon', 'pairs', 'at', 'telecom', 'wavelengths', 'under', 'continuous', 'wave', 'excitation', 'based', 'on', 'parametric', 'down', 'conversion', 'for', 'only', '7', 'mw', 'of', 'pump', 'power', 'it', 'has', 'a', 'created', 'spectral', 'radiance', 'of', '008', 'pairs', 'per', 'coherence', 'length', 'and', 'a', 'bandwidth', 'of', '10', 'pm', '12', 'ghz', 'the', 'effectively', 'emitted', 'spectral', 'brightness', 'reaches', '39105', 'pairs', 's', 'pm', 'furthermore', 'when', 'combined', 'with', 'low', 'jitter', 'single', 'photon', 'detectors', 'such', 'sources', 'allow', 'for', 'the', 'implementation', 'of', 'quantum', 'communication', 'protocols', 'without', 'any', 'active', 'synchronization', 'or', 'path', 'length', 'stabilization', 'a', 'homdip', 'with', 'photons', 'from', 'two', 'autonomous', 'cw', 'sources', 'has', 'been', 'realized', 'demonstrating', 'the', 'setups', 'stability', 'and', 'performance']] | [-0.166416107991799, 0.18783731578538815, -0.024196916579135825, -0.01926397382132044, 0.004048888320990262, -0.20386410009648118, 0.09939316428776476, 0.45404436013528277, -0.19779884865773575, -0.3340686019909169, 0.04445656636907231, -0.30210211662841696, 0.03581489501742735, 0.25991266733700674, -0.0278159834134082, 0.0763189557562804, 0.059063274575219975, -0.0060280871599735246, -0.032922720603112667, -0.14956366015110342, 0.215219283982047, 0.06086366829584308, 0.356101006233976, 0.008773857148342012, 0.15505281787565245, 0.017076313140846434, 0.01514602517709136, -0.09966921275925068, -0.07163707906646388, 0.06238271943071769, 0.23774731510451863, 0.09052069119976035, 0.2533645606023215, -0.350623251617487, -0.2464065426162311, 0.11686924333639798, 0.13873289848367373, 0.08342359937239616, -0.0443824532896369, -0.26912944831308866, 0.06780334057375079, -0.17052096163055727, -0.0915416508580425, 0.05414187660706895, 0.01805873080378487, 0.02644732908922292, -0.259912070392498, 0.06397002371737645, 0.00782996022275516, 0.08678842026385523, 0.02560251657629297, -0.0425320374380265, -0.03206478275713467, 0.057237304542269114, -0.07393780395033814, 0.03549629470688247, 0.14716076404854123, -0.10667430916579351, -0.15843596302549398, 0.3351733571666825, -0.0840903656280023, -0.10737377203823555, 0.15459811848676985, -0.1151241694044854, -0.07727098794587489, 0.22603902716544413, 0.14396472242439076, 0.11637839826400437, -0.11876842339503733, -0.012134158716348577, 0.058627620514709544, 0.33164530327277525, 0.17478128722203629, 0.18311347776935213, 0.24765660853237412, 0.15686696170651843, 0.06154456160785187, 0.1489109090961782, -0.1987926837362119, -0.011512462211595405, -0.28235620283299967, -0.09775686519043077, -0.17473860067354205, 0.1262159945181338, -0.06594433423458776, -0.05899817348080909, 0.41851055543160154, 0.10972669422626495, 0.13677460149462733, 0.04014752117163014, 0.3629592492466881, 0.13646045543164725, 0.08182685647514604, 0.0809466112937246, 0.2690283482096025, 0.11297082305398015, 0.10486705423377099, -0.1995713154142279, -0.03471032966903988, -0.05435534941387318] |
710.1144 | A uniform L^{\infty} estimate for complex Monge-Ampere equations | We prove uniform sup-norm estimates for the Monge-Ampere equation with
respect to a family of Kahler metrics which degenerate towards a pull-back of a
metric from a lower dimensional manifold. This is then used to show the
existence of generalized Kahler-Einstein metrics as the limits of the
Kahler-Ricci flow for some holomorphic fibrations (in the spirit of Song and
Tian "The Kahler-Ricci flow on surfaces of positive Kodaira dimension",
arXiv:math/0602150).
| math.DG math.CV | we prove uniform supnorm estimates for the mongeampere equation with respect to a family of kahler metrics which degenerate towards a pullback of a metric from a lower dimensional manifold this is then used to show the existence of generalized kahlereinstein metrics as the limits of the kahlerricci flow for some holomorphic fibrations in the spirit of song and tian the kahlerricci flow on surfaces of positive kodaira dimension arxivmath0602150 | [['we', 'prove', 'uniform', 'supnorm', 'estimates', 'for', 'the', 'mongeampere', 'equation', 'with', 'respect', 'to', 'a', 'family', 'of', 'kahler', 'metrics', 'which', 'degenerate', 'towards', 'a', 'pullback', 'of', 'a', 'metric', 'from', 'a', 'lower', 'dimensional', 'manifold', 'this', 'is', 'then', 'used', 'to', 'show', 'the', 'existence', 'of', 'generalized', 'kahlereinstein', 'metrics', 'as', 'the', 'limits', 'of', 'the', 'kahlerricci', 'flow', 'for', 'some', 'holomorphic', 'fibrations', 'in', 'the', 'spirit', 'of', 'song', 'and', 'tian', 'the', 'kahlerricci', 'flow', 'on', 'surfaces', 'of', 'positive', 'kodaira', 'dimension', 'arxivmath0602150']] | [-0.18815388893573612, -0.027234696064387328, -0.11508061925786128, 0.08991495942345996, -0.11312373664797, -0.15710627539690747, -0.023526646466790768, 0.28266312400607957, -0.2663910933702752, -0.1520467831532174, 0.12263690545122423, -0.3045972300477434, -0.15458683488026692, 0.22551474509679753, -0.18492534431280164, 0.0870918757012249, 0.06967943413453041, 0.0839391293787006, -0.12856321939456183, -0.3031571753242094, 0.5359072090814943, -0.029895095500514668, 0.2652459583528664, 0.1417266580451658, 0.1607450026127955, -0.11762051675738631, 0.038707338502981525, 0.005061112317270127, -0.22226829400313072, 0.16470277351259754, 0.23216255258876775, 0.045415042420390295, 0.22545712751646838, -0.3146591730469811, -0.2596568127527185, 0.19423262062280075, 0.10348082551111777, 0.02136217791121453, -0.016048679268325046, -0.32395988853945246, 0.09644473417648587, -0.089899192739656, -0.24440766196104063, -0.10440265023540976, -0.021670548461269642, 0.07494968108400918, -0.23707491124345773, 0.017159763507652973, 0.12241866156134916, 0.04731412372295407, -0.10246473932773739, -0.07956729691637598, -0.12888673466184866, 0.04846580822418943, 0.08635666584123627, 0.08746954627787236, 0.06674248410685771, -0.10270462845474485, -0.08425681058155454, 0.3361548831698188, -0.1998791167161603, -0.3075395506955143, 0.07120722540370795, -0.10171294837272253, -0.148545672894334, 0.1001433746052393, 0.19828749678234328, 0.22777158914106913, -0.02597446539911671, 0.11450650501048085, -0.08284927919453038, 0.061528628314102905, 0.1598302554609119, -0.03509320151330768, 0.07651109872655808, 0.1348995402171884, 0.23506977112855817, 0.09141249335168497, -0.013033719541019072, -0.07469706791385576, -0.33633210655787715, -0.2508376490567689, -0.09908833379006904, 0.247328900165208, -0.1861439756000924, -0.19720479234229718, 0.41076416538461397, -0.009921265878221964, 0.25542581143478554, 0.16553271595773328, 0.21349985029656385, 0.018653536456691076, -0.026180958118883595, 0.11376974995727178, 0.21290987164020012, 0.22507747485423865, 0.10225188128137286, -0.1169233881443253, -0.047124161735932896, 0.2396359023489598] |
710.1145 | ATCA observations of the very young Planetary Nebula SAO 244567 | The radio emission from the youngest known Planetary nebula, SAO244567, has
been mapped at 1384, 2368, 4800, 8640, 16832 and 18752 MHz by using the
Australian Telescope Compact Array (ATCA). These observations constitute the
first detailed radio study of this very interesting object, as they allow us to
obtain the overall radio morphology of the source and to compute, for the first
time, the radio spectrum up to millimetre range. Radio emission is consistent
with free-free from a wind-like shell, which is also the region where most of
the [OIII] comes from as revealed by HST images. Physical parameters of the
radio nebula and of the central star were derived, all consistent with SAO
244567 being a very young Planetary Nebula still embedded in the dusty remnant
of the AGB phase. The optically thin radio flux density appear to decrease when
compared to data from the literature. Even very appealing, the variability of
the radio emission, probably related to the evolution of the central object,
needs further investigations.
| astro-ph | the radio emission from the youngest known planetary nebula sao244567 has been mapped at 1384 2368 4800 8640 16832 and 18752 mhz by using the australian telescope compact array atca these observations constitute the first detailed radio study of this very interesting object as they allow us to obtain the overall radio morphology of the source and to compute for the first time the radio spectrum up to millimetre range radio emission is consistent with freefree from a windlike shell which is also the region where most of the oiii comes from as revealed by hst images physical parameters of the radio nebula and of the central star were derived all consistent with sao 244567 being a very young planetary nebula still embedded in the dusty remnant of the agb phase the optically thin radio flux density appear to decrease when compared to data from the literature even very appealing the variability of the radio emission probably related to the evolution of the central object needs further investigations | [['the', 'radio', 'emission', 'from', 'the', 'youngest', 'known', 'planetary', 'nebula', 'sao244567', 'has', 'been', 'mapped', 'at', '1384', '2368', '4800', '8640', '16832', 'and', '18752', 'mhz', 'by', 'using', 'the', 'australian', 'telescope', 'compact', 'array', 'atca', 'these', 'observations', 'constitute', 'the', 'first', 'detailed', 'radio', 'study', 'of', 'this', 'very', 'interesting', 'object', 'as', 'they', 'allow', 'us', 'to', 'obtain', 'the', 'overall', 'radio', 'morphology', 'of', 'the', 'source', 'and', 'to', 'compute', 'for', 'the', 'first', 'time', 'the', 'radio', 'spectrum', 'up', 'to', 'millimetre', 'range', 'radio', 'emission', 'is', 'consistent', 'with', 'freefree', 'from', 'a', 'windlike', 'shell', 'which', 'is', 'also', 'the', 'region', 'where', 'most', 'of', 'the', 'oiii', 'comes', 'from', 'as', 'revealed', 'by', 'hst', 'images', 'physical', 'parameters', 'of', 'the', 'radio', 'nebula', 'and', 'of', 'the', 'central', 'star', 'were', 'derived', 'all', 'consistent', 'with', 'sao', '244567', 'being', 'a', 'very', 'young', 'planetary', 'nebula', 'still', 'embedded', 'in', 'the', 'dusty', 'remnant', 'of', 'the', 'agb', 'phase', 'the', 'optically', 'thin', 'radio', 'flux', 'density', 'appear', 'to', 'decrease', 'when', 'compared', 'to', 'data', 'from', 'the', 'literature', 'even', 'very', 'appealing', 'the', 'variability', 'of', 'the', 'radio', 'emission', 'probably', 'related', 'to', 'the', 'evolution', 'of', 'the', 'central', 'object', 'needs', 'further', 'investigations']] | [-0.03747055684921868, 0.05827158955631383, -0.048404823148369115, 0.057045905037331535, -0.13401013773612, -0.08070157184406664, 0.03248993859372356, 0.45031298218351423, -0.163758509643517, -0.3399440640188528, 0.1347758049476948, -0.24724760879056923, -0.034880531455079716, 0.21813998542669596, -0.016005173101350946, -0.04718169363596561, 0.07626294196921993, -0.10087520818959808, 0.0006559276840451992, -0.16506319414457363, 0.2802010904546037, 0.1465002642782179, 0.17404374189561966, -0.004451286674223163, 0.06590495556381278, -0.15554865936133094, -0.08411949662047184, -0.051861032298907185, -0.06271279795998425, 0.08892507200523114, 0.2837664415876409, 0.12916345411318947, 0.15385804364147285, -0.38484674533546875, -0.23134713341679536, 0.03835530747504284, 0.18302677312696522, -0.00041602487943953636, -0.01084312012023998, -0.3216638484955624, 0.08550498569101998, -0.21631446933571363, -0.19090466341850432, 0.1237580088503433, 0.04936529783122806, 0.03451785747963709, -0.18962390338613963, 0.0708575043119984, -0.03334128364962949, 0.0609228788705712, -0.12925610811393143, -0.10832800279568994, -0.02776219894700317, 0.14646203874867889, 0.019838655192517873, 0.08725785985871247, 0.13847660109344306, -0.13181473113963324, -0.03102765332230113, 0.41548760712259647, -0.03538141652349044, 0.03203960846206456, 0.24907813080247831, -0.259513005023032, -0.20727115606494023, 0.21836664659133406, 0.1260670246358848, 0.08818273247417176, -0.16402498050072498, 0.017754047718534078, -0.04635458047656963, 0.23074583611380534, 0.06180627973129352, 0.09657033519593604, 0.31964096163935735, 0.10893559047077415, 0.025762035140668917, 0.19150830151894213, -0.2716320626352998, -0.019189959959211675, -0.23722510037266395, -0.06231523265384815, -0.17121826962525533, 0.11266236574473706, -0.11456857747230749, -0.12311049579134718, 0.36430728079920466, 0.09537746849272287, 0.16973263910886915, 0.034387233743980304, 0.30655606390739026, 0.07880832888468196, 0.12630882382844433, 0.1420508105985143, 0.3158042669747815, 0.18403777055668108, 0.14998833302727718, -0.21077338287776168, 0.06634509433872264, -0.05087039544190647] |
710.1146 | Generalized Swanson models and their solutions | We analyze a class of non-Hermitian quadratic Hamiltonians, which are of the
form $ H = {\cal{A}}^{\dagger} {\cal{A}} + \alpha {\cal{A}} ^2 + \beta
{\cal{A}}^{\dagger 2} $, where $ \alpha, \beta $ are real constants, with $
\alpha \neq \beta $, and ${\cal{A}}^{\dagger}$ and ${\cal{A}}$ are generalized
creation and annihilation operators. Thus these Hamiltonians may be classified
as generalized Swanson models. It is shown that the eigenenergies are real for
a certain range of values of the parameters. A similarity transformation
$\rho$, mapping the non-Hermitian Hamiltonian $H$ to a Hermitian one $h$, is
also obtained. It is shown that $H$ and $h$ share identical energies. As
explicit examples, the solutions of a couple of models based on the
trigonometric Rosen-Morse I and the hyperbolic Rosen-Morse II type potentials
are obtained. We also study the case when the non-Hermitian Hamiltonian is
${\cal{PT}}$ symmetric.
| quant-ph | we analyze a class of nonhermitian quadratic hamiltonians which are of the form h caladagger cala alpha cala 2 beta caladagger 2 where alpha beta are real constants with alpha neq beta and caladagger and cala are generalized creation and annihilation operators thus these hamiltonians may be classified as generalized swanson models it is shown that the eigenenergies are real for a certain range of values of the parameters a similarity transformation rho mapping the nonhermitian hamiltonian h to a hermitian one h is also obtained it is shown that h and h share identical energies as explicit examples the solutions of a couple of models based on the trigonometric rosenmorse i and the hyperbolic rosenmorse ii type potentials are obtained we also study the case when the nonhermitian hamiltonian is calpt symmetric | [['we', 'analyze', 'a', 'class', 'of', 'nonhermitian', 'quadratic', 'hamiltonians', 'which', 'are', 'of', 'the', 'form', 'h', 'caladagger', 'cala', 'alpha', 'cala', '2', 'beta', 'caladagger', '2', 'where', 'alpha', 'beta', 'are', 'real', 'constants', 'with', 'alpha', 'neq', 'beta', 'and', 'caladagger', 'and', 'cala', 'are', 'generalized', 'creation', 'and', 'annihilation', 'operators', 'thus', 'these', 'hamiltonians', 'may', 'be', 'classified', 'as', 'generalized', 'swanson', 'models', 'it', 'is', 'shown', 'that', 'the', 'eigenenergies', 'are', 'real', 'for', 'a', 'certain', 'range', 'of', 'values', 'of', 'the', 'parameters', 'a', 'similarity', 'transformation', 'rho', 'mapping', 'the', 'nonhermitian', 'hamiltonian', 'h', 'to', 'a', 'hermitian', 'one', 'h', 'is', 'also', 'obtained', 'it', 'is', 'shown', 'that', 'h', 'and', 'h', 'share', 'identical', 'energies', 'as', 'explicit', 'examples', 'the', 'solutions', 'of', 'a', 'couple', 'of', 'models', 'based', 'on', 'the', 'trigonometric', 'rosenmorse', 'i', 'and', 'the', 'hyperbolic', 'rosenmorse', 'ii', 'type', 'potentials', 'are', 'obtained', 'we', 'also', 'study', 'the', 'case', 'when', 'the', 'nonhermitian', 'hamiltonian', 'is', 'calpt', 'symmetric']] | [-0.12605193821727334, 0.17835862119014714, 0.00454677525151493, 0.07331443546493922, -0.052519775485914, -0.26229429774728596, -0.04648268117072215, 0.3838345541485718, -0.2469800615270055, -0.2241254101710436, 0.05839079198133396, -0.3096074970137972, -0.18086186531910153, 0.18960877603858262, 0.04107573579408621, 0.03418790012227347, 0.03763711814334462, 0.07441376023960852, -0.11092135326278613, -0.21065253554318183, 0.3334719962195346, -0.021653424789148727, 0.12655361604533696, 0.01387177073375735, 0.01006102824541635, -0.03232674368419089, 0.022372646705436528, -0.03380381078564359, -0.17208125368095462, 0.06675898874899779, 0.19302173029121295, 0.06046171855055412, 0.20085415877646914, -0.29180481223235455, -0.1738662831353976, 0.17472507848747468, 0.13995472552198776, 0.020213987855975956, -0.008050715464125282, -0.30633019707935927, 0.02957830231906356, -0.16902886116632113, -0.17269324924432694, -0.09780242402610698, 0.10868315372083868, 0.050693355455182325, -0.3510418262584765, 0.05588915382819473, 0.06958682465023901, 0.019361485187944612, -0.07461016265591397, -0.17716593348204082, -0.05426901909767797, 0.04766833836399194, -0.0068905845197369305, -0.011141670365376692, 0.08336672920355559, -0.06829993188717312, -0.08007997920722666, 0.41307366849448446, -0.049765716302598115, -0.24575764429230326, 0.12630363324608065, -0.11228499509380165, -0.13716090460048808, 0.10831797247598494, 0.08636907023496758, 0.13259636125128185, -0.11790321763708603, 0.2458368664501494, -0.05152073348137109, 0.10588917103543513, 0.06276705080671306, -0.00561971824504155, 0.08874164381645676, 0.0036413012636139206, 0.03871274882353338, 0.08026822230558057, -0.025537036049452826, -0.11031130484053235, -0.3523980735388017, -0.16914265139966755, -0.20556426817495235, 0.11393117112251125, -0.10023799341789506, -0.17147600526275478, 0.39750038082291256, 0.02962940421981275, 0.1973774996551132, 0.05016488250068396, 0.13745919298520662, 0.19575165209397183, 0.061875405903429465, 0.04975421999798233, 0.21828779595014744, 0.1634485286387398, 0.03843497081582708, -0.19787481898455916, -0.04450971925197015, 0.1099480373952958] |
710.1147 | Newton's method and Baker domains | We show that there exists an entire function f without zeros for which the
associated Newton function N(z)=z-f(z)/f'(z) is a transcendental meromorphic
functions without Baker domains. We also show that there exists an entire
function f with exactly one zero for which the complement of the immediate
attracting basin has at least two components and contains no invariant Baker
domains of N. The second result answers a question of J. Rueckert and D.
Schleicher while the first one gives a partial answer to a question of X. Buff.
| math.CV math.DS | we show that there exists an entire function f without zeros for which the associated newton function nzzfzfz is a transcendental meromorphic functions without baker domains we also show that there exists an entire function f with exactly one zero for which the complement of the immediate attracting basin has at least two components and contains no invariant baker domains of n the second result answers a question of j rueckert and d schleicher while the first one gives a partial answer to a question of x buff | [['we', 'show', 'that', 'there', 'exists', 'an', 'entire', 'function', 'f', 'without', 'zeros', 'for', 'which', 'the', 'associated', 'newton', 'function', 'nzzfzfz', 'is', 'a', 'transcendental', 'meromorphic', 'functions', 'without', 'baker', 'domains', 'we', 'also', 'show', 'that', 'there', 'exists', 'an', 'entire', 'function', 'f', 'with', 'exactly', 'one', 'zero', 'for', 'which', 'the', 'complement', 'of', 'the', 'immediate', 'attracting', 'basin', 'has', 'at', 'least', 'two', 'components', 'and', 'contains', 'no', 'invariant', 'baker', 'domains', 'of', 'n', 'the', 'second', 'result', 'answers', 'a', 'question', 'of', 'j', 'rueckert', 'and', 'd', 'schleicher', 'while', 'the', 'first', 'one', 'gives', 'a', 'partial', 'answer', 'to', 'a', 'question', 'of', 'x', 'buff']] | [-0.1900226981054212, 0.03017454054497648, -0.08223538789464983, 0.04357835047927057, -0.05992374544270163, -0.13846984779635488, 0.06354779512946342, 0.3096093957117477, -0.26423122759821804, -0.21670676074748815, 0.06677679604915686, -0.31617115849499094, -0.16665980977082062, 0.22428029080376374, -0.02701528970325409, 0.011783296134062978, 0.03751359004419037, 0.08136228181768296, -0.06120014043936376, -0.2885614634426527, 0.35557498899288476, -0.09530000224828633, 0.13837830813196866, 0.11152815786298624, 0.1663654098411762, -0.0017631819450058216, 0.004956348837071726, -0.02716739321950563, -0.15891073129311079, 0.07259166479275865, 0.2726492704498733, 0.16113460062851392, 0.35050763737756846, -0.33275331039154943, -0.17779527784076107, 0.18169272424609856, 0.12265384578427603, 0.008152552842444111, -0.028687408269751212, -0.19680050416134817, 0.100359627289351, -0.09269980321703263, -0.19362792091140912, -0.04833600466507812, 0.1303110096961, -0.005798651815830665, -0.29229887892075185, 0.01027745530137868, 0.15285508789468644, 0.086611851175359, -0.03463397393284669, -0.12490493832778748, -0.06496352805257884, 0.13750658850293868, 0.03606740855869692, 0.17726735048521267, 0.01785031318404647, -0.11493146595738687, -0.1079795679109994, 0.29817003345246923, -0.09273568014505991, -0.23191901373265442, 0.1963349697396679, -0.18456666845676684, -0.148188998807644, 0.14855531513755924, 0.050014345386866915, 0.11281233503981385, -0.06902622901509668, 0.1823548018312363, -0.15642600986283534, 0.19826324169827236, 0.14206751607098553, -0.05551309107808223, 0.15757726039195996, 0.05783938161140784, 0.17054203222700337, 0.15127848479409464, 0.035330421681147674, -0.03609533623662279, -0.3112013941890625, -0.17416248560428274, -0.20318288618677058, 0.09793439010418085, -0.051997087093145954, -0.22248151423247142, 0.404216758083812, 0.06488915198742477, 0.25080851406985244, 0.06081845589945916, 0.20822581711365992, 0.11601535480491124, 0.030473639863694824, 0.11495812490127634, 0.12809542642343183, 0.09425294628572585, 0.03722418183298392, -0.14492888838292348, 0.027574736749493452, 0.12201271429224762] |
710.1148 | A Micro Molecular Bipolar Outflow From HL Tau | We present detailed geometry and kinematics of the inner outflow toward HL
Tau observed using Near Infrared Integral Field Spectograph (NIFS) at the
Gemini-North 8-m Observatory. We analyzed H2 2.122 um emission and [Fe II]
1.644 um line emission as well as the adjacent continuum observed at a <0".2
resolution. The H2 emission shows (1) a bubble-like geometry to the northeast
of the star, as briefly reported in the previous paper, and (2) faint emission
in the southwest counterflow, which has been revealed through careful analysis.
The emission on both sides of the star show an arc 1".0 away from the star,
exhibiting a bipolar symmetry. Different brightness and morphologies in the
northeast and southwest flows are attributed to absorption and obscuration of
the latter by a flattened envelope and a circumstellar disk. The H2 emission
shows a remarkably different morphology from the collimated jet seen in [Fe II]
emission. The positions of some features coincide with scattering continuum,
indicating that these are associated with cavities in the dusty envelope. Such
properties are similar to millimeter CO outflows, although the spatial scale of
the H2 outflow in our image (~150 AU) is strikingly smaller than the mm
outflows, which often extend over 1000-10000 AU scales. The position-velocity
diagram of the H2 and [Fe II] emission do not show any evidence for kinematic
interaction between these flows. All results described above support the
scenario that the jet is surrounded by an unseen wide-angled wind, which
interacts with the ambient gas and produce the bipolar cavity and shocked H2
emission.
| astro-ph | we present detailed geometry and kinematics of the inner outflow toward hl tau observed using near infrared integral field spectograph nifs at the gemininorth 8m observatory we analyzed h2 2122 um emission and fe ii 1644 um line emission as well as the adjacent continuum observed at a 02 resolution the h2 emission shows 1 a bubblelike geometry to the northeast of the star as briefly reported in the previous paper and 2 faint emission in the southwest counterflow which has been revealed through careful analysis the emission on both sides of the star show an arc 10 away from the star exhibiting a bipolar symmetry different brightness and morphologies in the northeast and southwest flows are attributed to absorption and obscuration of the latter by a flattened envelope and a circumstellar disk the h2 emission shows a remarkably different morphology from the collimated jet seen in fe ii emission the positions of some features coincide with scattering continuum indicating that these are associated with cavities in the dusty envelope such properties are similar to millimeter co outflows although the spatial scale of the h2 outflow in our image 150 au is strikingly smaller than the mm outflows which often extend over 100010000 au scales the positionvelocity diagram of the h2 and fe ii emission do not show any evidence for kinematic interaction between these flows all results described above support the scenario that the jet is surrounded by an unseen wideangled wind which interacts with the ambient gas and produce the bipolar cavity and shocked h2 emission | [['we', 'present', 'detailed', 'geometry', 'and', 'kinematics', 'of', 'the', 'inner', 'outflow', 'toward', 'hl', 'tau', 'observed', 'using', 'near', 'infrared', 'integral', 'field', 'spectograph', 'nifs', 'at', 'the', 'gemininorth', '8m', 'observatory', 'we', 'analyzed', 'h2', '2122', 'um', 'emission', 'and', 'fe', 'ii', '1644', 'um', 'line', 'emission', 'as', 'well', 'as', 'the', 'adjacent', 'continuum', 'observed', 'at', 'a', '02', 'resolution', 'the', 'h2', 'emission', 'shows', '1', 'a', 'bubblelike', 'geometry', 'to', 'the', 'northeast', 'of', 'the', 'star', 'as', 'briefly', 'reported', 'in', 'the', 'previous', 'paper', 'and', '2', 'faint', 'emission', 'in', 'the', 'southwest', 'counterflow', 'which', 'has', 'been', 'revealed', 'through', 'careful', 'analysis', 'the', 'emission', 'on', 'both', 'sides', 'of', 'the', 'star', 'show', 'an', 'arc', '10', 'away', 'from', 'the', 'star', 'exhibiting', 'a', 'bipolar', 'symmetry', 'different', 'brightness', 'and', 'morphologies', 'in', 'the', 'northeast', 'and', 'southwest', 'flows', 'are', 'attributed', 'to', 'absorption', 'and', 'obscuration', 'of', 'the', 'latter', 'by', 'a', 'flattened', 'envelope', 'and', 'a', 'circumstellar', 'disk', 'the', 'h2', 'emission', 'shows', 'a', 'remarkably', 'different', 'morphology', 'from', 'the', 'collimated', 'jet', 'seen', 'in', 'fe', 'ii', 'emission', 'the', 'positions', 'of', 'some', 'features', 'coincide', 'with', 'scattering', 'continuum', 'indicating', 'that', 'these', 'are', 'associated', 'with', 'cavities', 'in', 'the', 'dusty', 'envelope', 'such', 'properties', 'are', 'similar', 'to', 'millimeter', 'co', 'outflows', 'although', 'the', 'spatial', 'scale', 'of', 'the', 'h2', 'outflow', 'in', 'our', 'image', '150', 'au', 'is', 'strikingly', 'smaller', 'than', 'the', 'mm', 'outflows', 'which', 'often', 'extend', 'over', '100010000', 'au', 'scales', 'the', 'positionvelocity', 'diagram', 'of', 'the', 'h2', 'and', 'fe', 'ii', 'emission', 'do', 'not', 'show', 'any', 'evidence', 'for', 'kinematic', 'interaction', 'between', 'these', 'flows', 'all', 'results', 'described', 'above', 'support', 'the', 'scenario', 'that', 'the', 'jet', 'is', 'surrounded', 'by', 'an', 'unseen', 'wideangled', 'wind', 'which', 'interacts', 'with', 'the', 'ambient', 'gas', 'and', 'produce', 'the', 'bipolar', 'cavity', 'and', 'shocked', 'h2', 'emission']] | [-0.048288793314127394, 0.06175215644574663, -0.026730590346521994, 0.0580444503241659, -0.0560639774148865, -0.09965026538454487, -0.043399866231782144, 0.4932733123125725, -0.19935664107893095, -0.28995987924191263, 0.07285995444753514, -0.2779166904122879, -0.01816706908884812, 0.14912930968381796, 0.017516034175172564, -0.07741292756409096, 0.025033965777215915, -0.10974714833910959, -0.04869621196561385, -0.1391766996726632, 0.3048280787396122, 0.07465145044757934, 0.16505655337688188, 0.05448787953423033, 0.054477091734261476, -0.14934775209444207, -0.04950464196510382, -0.003381999723014039, -0.11567067414055833, 0.0703101027973516, 0.1952057511862927, 0.08105735774305396, 0.15774898564527823, -0.3840466685960423, -0.23084713030103846, -0.01971234871226168, 0.2106942670878254, -0.0013342075074243163, -0.019964810712136644, -0.29966501231565207, 0.027084188136929113, -0.15012813890677726, -0.18748075610690917, 0.11088916278230351, 0.028140356001180648, 0.028444655528364254, -0.21761428804746866, 0.10516217326413291, 0.05378821334628345, 0.12941869942095968, -0.09242634029739515, -0.09602066956807015, -0.11794399055868907, 0.02903256780655636, 0.026846906590788054, 0.09955255338532287, 0.2204655475879283, -0.12840874067709832, -0.04408965928411444, 0.3927788581164886, -0.0882637928402554, -0.00876084306320652, 0.2701105635158371, -0.2631588976066776, -0.16179361317826566, 0.27989687092688886, 0.09351622981069856, 0.11137204669874393, -0.0912503909938716, -0.006330268435845063, -0.06546972686462754, 0.21135328934697592, 0.08701179098417304, 0.06636419723463757, 0.29794525418993695, 0.07741538186416809, 0.017225095037508093, 0.15204233453426755, -0.2806544561228307, -0.06688692360076794, -0.2792216636260336, -0.1256309067983859, -0.11222455148132114, 0.0726365166524621, -0.12514072265816661, -0.10323557156028589, 0.31137535726117305, 0.07626981088557044, 0.24382530146029366, -0.011864358978436235, 0.297538514277905, 0.06557135082250677, 0.10425077564292407, 0.16470187759683866, 0.30416780083980355, 0.16261141444917393, 0.14990246995639187, -0.2548550223920841, 0.05256504240966842, -0.010046751047087502] |
710.1149 | Z2Z4-linear codes: generator matrices and duality | A code ${\cal C}$ is $\Z_2\Z_4$-additive if the set of coordinates can be
partitioned into two subsets $X$ and $Y$ such that the punctured code of ${\cal
C}$ by deleting the coordinates outside $X$ (respectively, $Y$) is a binary
linear code (respectively, a quaternary linear code). In this paper
$\Z_2\Z_4$-additive codes are studied. Their corresponding binary images, via
the Gray map, are $\Z_2\Z_4$-linear codes, which seem to be a very
distinguished class of binary group codes.
As for binary and quaternary linear codes, for these codes the fundamental
parameters are found and standard forms for generator and parity check matrices
are given. For this, the appropriate inner product is deduced and the concept
of duality for $\Z_2\Z_4$-additive codes is defined. Moreover, the parameters
of the dual codes are computed. Finally, some conditions for self-duality of
$\Z_2\Z_4$-additive codes are given.
| cs.IT cs.DM math.CO math.IT | a code cal c is z_2z_4additive if the set of coordinates can be partitioned into two subsets x and y such that the punctured code of cal c by deleting the coordinates outside x respectively y is a binary linear code respectively a quaternary linear code in this paper z_2z_4additive codes are studied their corresponding binary images via the gray map are z_2z_4linear codes which seem to be a very distinguished class of binary group codes as for binary and quaternary linear codes for these codes the fundamental parameters are found and standard forms for generator and parity check matrices are given for this the appropriate inner product is deduced and the concept of duality for z_2z_4additive codes is defined moreover the parameters of the dual codes are computed finally some conditions for selfduality of z_2z_4additive codes are given | [['a', 'code', 'cal', 'c', 'is', 'z_2z_4additive', 'if', 'the', 'set', 'of', 'coordinates', 'can', 'be', 'partitioned', 'into', 'two', 'subsets', 'x', 'and', 'y', 'such', 'that', 'the', 'punctured', 'code', 'of', 'cal', 'c', 'by', 'deleting', 'the', 'coordinates', 'outside', 'x', 'respectively', 'y', 'is', 'a', 'binary', 'linear', 'code', 'respectively', 'a', 'quaternary', 'linear', 'code', 'in', 'this', 'paper', 'z_2z_4additive', 'codes', 'are', 'studied', 'their', 'corresponding', 'binary', 'images', 'via', 'the', 'gray', 'map', 'are', 'z_2z_4linear', 'codes', 'which', 'seem', 'to', 'be', 'a', 'very', 'distinguished', 'class', 'of', 'binary', 'group', 'codes', 'as', 'for', 'binary', 'and', 'quaternary', 'linear', 'codes', 'for', 'these', 'codes', 'the', 'fundamental', 'parameters', 'are', 'found', 'and', 'standard', 'forms', 'for', 'generator', 'and', 'parity', 'check', 'matrices', 'are', 'given', 'for', 'this', 'the', 'appropriate', 'inner', 'product', 'is', 'deduced', 'and', 'the', 'concept', 'of', 'duality', 'for', 'z_2z_4additive', 'codes', 'is', 'defined', 'moreover', 'the', 'parameters', 'of', 'the', 'dual', 'codes', 'are', 'computed', 'finally', 'some', 'conditions', 'for', 'selfduality', 'of', 'z_2z_4additive', 'codes', 'are', 'given']] | [-0.172142655528385, 0.11272832485528918, -0.02544150637167928, 0.09056068997220437, -0.005926833369119241, -0.22876474751735762, -0.0070151187966932815, 0.3770414756463586, -0.34229196054633143, -0.2381477470848066, 0.1577722678662834, -0.25186077130141016, -0.11430038591485014, 0.2183851581736863, -0.06999671046970506, 0.06962529820785356, 0.08145962885192347, 0.05652064401589388, -0.196224603401631, -0.306868161892237, 0.3509182297229338, 0.09621591161452435, 0.15540294418205247, -0.05678136562995559, 0.08405151100253029, -0.017229450215198595, -0.034267650089702374, 0.017960366648923365, -0.13908923760906788, 0.09120095195583731, 0.2981486178184156, 0.1961894790045649, 0.12319516777831445, -0.32304780691754903, -0.20218907620275406, 0.0781585574954105, 0.0902198054383864, 0.09744708280819435, -0.03345248951382345, -0.1930566192671603, 0.17767546796608422, -0.1765934003235625, -0.01924359688213725, -0.02739137774350108, 0.0588487229057045, 0.049431204373727174, -0.3226152567809327, -0.05014782727414595, 0.08037165906146276, 0.07670623050640812, -0.03512756468848788, -0.17317156725321903, -0.06793197131005498, 0.12199292209656011, -0.048274756288624925, 0.07946912661905019, 0.050699966624647166, -0.029142411650165165, -0.08170525904027946, 0.3867893051222074, -0.012329990421539079, -0.25243541356444144, 0.13273874486012638, -0.08468924853749735, -0.11566309031373788, 0.10379039680437861, 0.18114516340705344, 0.15028458049890617, -0.11332224989824982, 0.15253341282180197, -0.11312463913672342, 0.1528160542206966, 0.09169243291529605, 0.06714908860409431, 0.21119923296002605, 0.023366992911256903, -0.02971941095997961, 0.16689507321374183, -0.036768486143739745, -0.03826746334516102, -0.31659859587713113, -0.16000605911927687, -0.14634892584340606, 0.04022748826788537, -0.12643056467002536, -0.17077349973909503, 0.3654096283943211, 0.036940440719799815, 0.16349807100223124, 0.07786231399631034, 0.18095838709352471, 0.05524551976824316, 0.09994529627879961, 0.14284607944943065, 0.1411987487002688, 0.1859495992229568, -0.06690372997792705, -0.1731895643366809, 0.05980680483601076, 0.16034219543308878] |
710.115 | The pion-pion scattering amplitude. III: Improving the analysis with
forward dispersion relations and Roy equations | We complete and improve the fits to experimental $\pi\pi$ scattering
amplitudes, both at low and high energies, that we performed in the previous
papers of this series. We then verify that the corresponding amplitudes satisfy
analyticity requirements, in the form of partial wave analyticity at low
energies, forward dispersion relations (FDR) at all energies, and Roy equations
below$\bar{K}K$ threshold; the first by construction, the last two, inside
experimental errors. Then we repeat the fits including as constraints FDR and
Roy equations. The ensuing central values of the various scattering amplitudes
verify very accurately FDR and, especially, Roy equations, and change very
little from what we found by just fitting data, with the exception of the D2
wave phase shift, for which one parameter moves by $1.5 \sigma$. These improved
parametrizations therefore provide a reliable representation of pion-pion
amplitudes with which one can test various physical relations. We also present
a list of low energy parameters and other observables. In particular, we find
$a_0^{(0)}=0.223\pm0.009 M^{-1}_\pi$, $a_0^{(2)}=-0.0444\pm0.0045 M^{-1}_\pi$
and $\delta_0^{(0)}(m^2_K)-\delta_0^{(2)}(m^2_K)=50.9\pm1.2^{\rm o}$.
| hep-ph | we complete and improve the fits to experimental pipi scattering amplitudes both at low and high energies that we performed in the previous papers of this series we then verify that the corresponding amplitudes satisfy analyticity requirements in the form of partial wave analyticity at low energies forward dispersion relations fdr at all energies and roy equations belowbarkk threshold the first by construction the last two inside experimental errors then we repeat the fits including as constraints fdr and roy equations the ensuing central values of the various scattering amplitudes verify very accurately fdr and especially roy equations and change very little from what we found by just fitting data with the exception of the d2 wave phase shift for which one parameter moves by 15 sigma these improved parametrizations therefore provide a reliable representation of pionpion amplitudes with which one can test various physical relations we also present a list of low energy parameters and other observables in particular we find a_000223pm0009 m1_pi a_0200444pm00045 m1_pi and delta_00m2_kdelta_02m2_k509pm12rm o | [['we', 'complete', 'and', 'improve', 'the', 'fits', 'to', 'experimental', 'pipi', 'scattering', 'amplitudes', 'both', 'at', 'low', 'and', 'high', 'energies', 'that', 'we', 'performed', 'in', 'the', 'previous', 'papers', 'of', 'this', 'series', 'we', 'then', 'verify', 'that', 'the', 'corresponding', 'amplitudes', 'satisfy', 'analyticity', 'requirements', 'in', 'the', 'form', 'of', 'partial', 'wave', 'analyticity', 'at', 'low', 'energies', 'forward', 'dispersion', 'relations', 'fdr', 'at', 'all', 'energies', 'and', 'roy', 'equations', 'belowbarkk', 'threshold', 'the', 'first', 'by', 'construction', 'the', 'last', 'two', 'inside', 'experimental', 'errors', 'then', 'we', 'repeat', 'the', 'fits', 'including', 'as', 'constraints', 'fdr', 'and', 'roy', 'equations', 'the', 'ensuing', 'central', 'values', 'of', 'the', 'various', 'scattering', 'amplitudes', 'verify', 'very', 'accurately', 'fdr', 'and', 'especially', 'roy', 'equations', 'and', 'change', 'very', 'little', 'from', 'what', 'we', 'found', 'by', 'just', 'fitting', 'data', 'with', 'the', 'exception', 'of', 'the', 'd2', 'wave', 'phase', 'shift', 'for', 'which', 'one', 'parameter', 'moves', 'by', '15', 'sigma', 'these', 'improved', 'parametrizations', 'therefore', 'provide', 'a', 'reliable', 'representation', 'of', 'pionpion', 'amplitudes', 'with', 'which', 'one', 'can', 'test', 'various', 'physical', 'relations', 'we', 'also', 'present', 'a', 'list', 'of', 'low', 'energy', 'parameters', 'and', 'other', 'observables', 'in', 'particular', 'we', 'find', 'a_000223pm0009', 'm1_pi', 'a_0200444pm00045', 'm1_pi', 'and', 'delta_00m2_kdelta_02m2_k509pm12rm', 'o']] | [-0.10085777619973602, 0.12616111031887722, -0.08489737998511344, 0.1135385265992383, -0.07817354150105016, -0.12745621461604087, 0.10122252968114949, 0.3304770911123855, -0.21986858089785863, -0.30902176306931517, 0.09588497413245195, -0.283694122340873, -0.10314866162242334, 0.18988967628041112, 0.025634260391073724, 0.11220793847069273, 0.0594850506039302, 0.02612985273343911, -0.11302154907739602, -0.2233950325632125, 0.31826719438137224, 0.04991672048916572, 0.26674864234894147, 0.06403857020609813, 0.07822897678392544, 0.05032310353026388, -0.042658550150555336, -0.004989453174310959, -0.1599839073581731, 0.08649449756060458, 0.2633089712289579, 0.08874573067196308, 0.17229281552135944, -0.4073285559832227, -0.17179645760041273, 0.04161238972886117, 0.14171798238987846, 0.1295220743132001, 0.004213363554991462, -0.24666260249707048, 0.07123389764991732, -0.16543857946397703, -0.15420089666092443, -0.09489546131136958, 0.03986453164641694, 0.034535354163291995, -0.2683683653159261, 0.09647726104862593, 0.00040925662761748385, 0.04632558929733932, -0.06917510997286878, -0.15940582749942328, -0.029270236127569904, 0.09671018865713678, 0.057324424701702834, 0.010990170720519006, 0.07357807665423381, -0.1307842827564894, -0.08114805889881553, 0.35407815354824795, -0.05118183305407046, -0.16891853594752543, 0.17643334646852105, -0.1874267248568222, -0.1868777839221243, 0.15124162021693002, 0.14361023931461245, 0.06629690404215748, -0.1634467066197079, 0.0836539235631321, 0.017171439629203807, 0.14422641064903122, 0.14413002121942176, 0.048374289248218655, 0.15124499197889324, 0.09541742793467194, -0.025676763456520493, 0.05687218017489049, -0.09560459258571907, -0.042442188058277035, -0.35771889166415105, -0.07778022455857164, -0.09474751806997929, -0.00458559923126088, -0.10052044005322476, -0.09648543037759837, 0.35768500689639954, 0.1534962090720748, 0.24333389112625867, 0.10004473625585163, 0.27320503331492285, 0.17326094627028982, 0.050292613050483305, 0.0822873972299183, 0.28173554998942496, 0.1277950118035878, 0.10125547924016151, -0.21936686411378561, 0.021174229714345256, 0.03996673134366976] |
710.1151 | Optimal properties of some Bayesian inferences | Relative surprise regions are shown to minimize, among Bayesian credible
regions, the prior probability of covering a false value from the prior. Such
regions are also shown to be unbiased in the sense that the prior probability
of covering a false value is bounded above by the prior probability of covering
the true value. Relative surprise regions are shown to maximize both the Bayes
factor in favor of the region containing the true value and the relative belief
ratio, among all credible regions with the same posterior content. Relative
surprise regions emerge naturally when we consider equivalence classes of
credible regions generated via reparameterizations.
| math.ST stat.TH | relative surprise regions are shown to minimize among bayesian credible regions the prior probability of covering a false value from the prior such regions are also shown to be unbiased in the sense that the prior probability of covering a false value is bounded above by the prior probability of covering the true value relative surprise regions are shown to maximize both the bayes factor in favor of the region containing the true value and the relative belief ratio among all credible regions with the same posterior content relative surprise regions emerge naturally when we consider equivalence classes of credible regions generated via reparameterizations | [['relative', 'surprise', 'regions', 'are', 'shown', 'to', 'minimize', 'among', 'bayesian', 'credible', 'regions', 'the', 'prior', 'probability', 'of', 'covering', 'a', 'false', 'value', 'from', 'the', 'prior', 'such', 'regions', 'are', 'also', 'shown', 'to', 'be', 'unbiased', 'in', 'the', 'sense', 'that', 'the', 'prior', 'probability', 'of', 'covering', 'a', 'false', 'value', 'is', 'bounded', 'above', 'by', 'the', 'prior', 'probability', 'of', 'covering', 'the', 'true', 'value', 'relative', 'surprise', 'regions', 'are', 'shown', 'to', 'maximize', 'both', 'the', 'bayes', 'factor', 'in', 'favor', 'of', 'the', 'region', 'containing', 'the', 'true', 'value', 'and', 'the', 'relative', 'belief', 'ratio', 'among', 'all', 'credible', 'regions', 'with', 'the', 'same', 'posterior', 'content', 'relative', 'surprise', 'regions', 'emerge', 'naturally', 'when', 'we', 'consider', 'equivalence', 'classes', 'of', 'credible', 'regions', 'generated', 'via', 'reparameterizations']] | [-0.04915926254090244, 0.0742292215089457, -0.02703385553860034, 0.11496885054265686, -0.036318480178194404, -0.05134171248377802, 0.1387093975029599, 0.4009931154052118, -0.25144362372632784, -0.33747183731219804, 0.06836914624615859, -0.26034224305140713, -0.09438908263557376, 0.1370330561946433, -0.12166822454338007, 0.023078182434591536, 0.036573058761020474, 0.10119482217571484, -0.05105634877019419, -0.2683923503478022, 0.3386694305898765, 0.068490295464961, 0.3257725413960333, -0.017961524480667252, 0.07170691477725856, -0.06397002412883851, -0.04352003014915121, 0.05483000490886088, -0.15573166979090905, 0.11886764212977141, 0.2812756695963729, 0.21294942670143568, 0.32187314243324533, -0.27194021906381327, -0.20618844234671158, 0.18493153364397585, 0.10822818496783909, 0.03309683666492884, 0.03811289767663066, -0.3222068806286328, 0.09908227238562316, -0.15896333725182699, -0.05873968753999529, -0.022402548741620894, 0.007335066875944344, 0.022888382801493908, -0.3279148496938153, 0.1421295494765218, 0.008363974649210622, -0.0073155822375646, -0.05346625102594352, -0.16430205173450163, -0.05298083172126029, 0.12957099891327045, 0.10126247516801903, 0.03260306298482017, 0.15742960755372992, -0.1692353521894592, -0.05974122162017291, 0.28950503461125593, -0.01367469074186654, -0.1949339962313668, 0.16159590743840313, -0.19294712478026319, -0.08554070157025798, 0.20433225379495595, 0.11451634030359295, 0.13199118833066537, -0.1070866370020947, 0.05632417262117647, -0.038903062000127435, 0.1684097720336957, 0.10735165972325306, 0.031412170228297606, 0.2663821635561852, 0.05166105519254835, 0.1530985644964788, 0.12889747423581027, -0.1290902810735413, -0.17091223135895023, -0.3106412165798247, -0.14881094175283438, -0.14469848235603422, -0.012913206715333777, -0.11613028118140042, -0.16252845289580783, 0.32051658924095905, 0.16815374188948995, 0.2674109221597274, 0.08928714983630925, 0.22403424999748284, 0.08113226643539607, 0.04066625332388167, 0.10205225857722465, 0.28614620524100387, 0.09812850733186888, -0.04543019003736285, -0.09549771474289279, 0.17062974844772655, 0.016805845460951856] |
710.1152 | Convexity properties of gradient maps | We consider the action of a real reductive group G on a Kaehler manifold Z
which is the restriction of a holomorphic action of the complexified group G^C.
We assume that the induced action of a compatible maximal compact subgroup U of
G^C on Z is Hamiltonian. We have an associated gradient map obtained from a
Cartan decomposition of G. For a G-stable subset Y of Z we consider convexity
properties of the intersection of the image of Y under the gradient map with a
closed Weyl chamber. Our main result is a Convexity Theorem for real
semi-algebraic subsets Y of the projective space corresponding to a unitary
representation of U.
| math.CV | we consider the action of a real reductive group g on a kaehler manifold z which is the restriction of a holomorphic action of the complexified group gc we assume that the induced action of a compatible maximal compact subgroup u of gc on z is hamiltonian we have an associated gradient map obtained from a cartan decomposition of g for a gstable subset y of z we consider convexity properties of the intersection of the image of y under the gradient map with a closed weyl chamber our main result is a convexity theorem for real semialgebraic subsets y of the projective space corresponding to a unitary representation of u | [['we', 'consider', 'the', 'action', 'of', 'a', 'real', 'reductive', 'group', 'g', 'on', 'a', 'kaehler', 'manifold', 'z', 'which', 'is', 'the', 'restriction', 'of', 'a', 'holomorphic', 'action', 'of', 'the', 'complexified', 'group', 'gc', 'we', 'assume', 'that', 'the', 'induced', 'action', 'of', 'a', 'compatible', 'maximal', 'compact', 'subgroup', 'u', 'of', 'gc', 'on', 'z', 'is', 'hamiltonian', 'we', 'have', 'an', 'associated', 'gradient', 'map', 'obtained', 'from', 'a', 'cartan', 'decomposition', 'of', 'g', 'for', 'a', 'gstable', 'subset', 'y', 'of', 'z', 'we', 'consider', 'convexity', 'properties', 'of', 'the', 'intersection', 'of', 'the', 'image', 'of', 'y', 'under', 'the', 'gradient', 'map', 'with', 'a', 'closed', 'weyl', 'chamber', 'our', 'main', 'result', 'is', 'a', 'convexity', 'theorem', 'for', 'real', 'semialgebraic', 'subsets', 'y', 'of', 'the', 'projective', 'space', 'corresponding', 'to', 'a', 'unitary', 'representation', 'of', 'u']] | [-0.20873899071536087, 0.0453445238255537, -0.11916637658938631, 0.0035619879307158225, -0.11346785831139297, -0.09325230930856354, 0.05146662432381564, 0.38543637210989856, -0.3113146845234541, -0.1564709877695989, 0.06795667066566043, -0.2535573605045274, -0.10413805238046758, 0.1809298461135309, -0.114939086164373, -0.024070760738607998, 0.08024098425222612, 0.1368633248163639, -0.13257575823573042, -0.25516764862832053, 0.429001366132283, -0.09321616044234451, 0.2025874659633012, -0.005049878960529862, 0.19544960595751265, 0.007763773337140813, -0.012941608289340595, 0.0021142566926370433, -0.09914956388079722, 0.1340499615196038, 0.23167666208066112, 0.11158121448547186, 0.22897543778710133, -0.32860569412576723, -0.1752784268879164, 0.21337377252308903, 0.08248661549946477, -0.03537642958821511, -0.04150685107729792, -0.31717947828541465, 0.12334766233054635, -0.12496450808536899, -0.16557438998810342, -0.02036497177690402, 0.06404431720750893, -0.005665981068133234, -0.2731440415907953, 0.01605608715751284, 0.0918993850402232, 0.10607735370076052, -0.067488937466699, -0.08970731429688565, -0.09714809357742402, 0.06548888865136751, -0.01088264357164368, 0.1518208913773567, 0.13925727480720426, -0.07897074815506737, -0.062467048523595206, 0.4037941899654028, -0.12038376116244173, -0.23779313484424944, 0.11228907788759684, -0.1799564762880002, -0.1824517829788362, 0.09451353266365356, 0.14071841202340685, 0.17176535051013972, -0.07908213386933009, 0.2703455261097432, -0.14393412839906575, 0.06056172211511849, 0.03502004269745436, -0.031442743042265776, 0.11494702116485585, 0.10600733856024507, 0.1565691297223607, 0.10761797199076092, -0.024375782227080717, 0.02209751941011967, -0.4070793343959628, -0.19532982540853858, -0.15000214021199862, 0.19003145907678315, -0.13836274693745212, -0.18295490630977862, 0.40960525066449166, 0.027240259333740215, 0.23776118705250524, 0.06736047876063264, 0.199709851210853, 0.0610555195289471, 0.051889530764808796, 0.060829547984810835, 0.10648110977097137, 0.23740155368137197, -0.07342471181507315, -0.20257062607797216, -0.050222593269453525, 0.18668738101516757] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.