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710.4253 | There are non homotopic framed homotopies of long knots | Let $\mathcal {M}$ be the space of all, including singular, long knots in
3-space and for which a fixed projection into the plane is an immersion. Let
$cl(\Sigma^{(1)}_{iness})$ be the closure of the union of all singular knots in
$\mathcal {M}$ with exactly one ordinary double point and such that the two
resolutions represent the same (non singular) knot type. We call
$\Sigma^{(1)}_{iness}$ the {\em inessential walls} and we call $\mathcal
{M}_{ess} = \mathcal {M} \setminus cl(\Sigma^{(1)}_{iness})$ the {\em essential
diagram space}. We construct a non trivial class in $H^1(\mathcal {M}_{ess};
\mathbb{Z}[A, A^{-1}])$ by an extension of the Kauffman bracket. This implies
in particular that there are loops in $\mathcal {M}_{ess}$ which consist of
regular isotopies of knots together with crossing changings and which are not
contractible in $\mathcal {M}_{ess}$ (leading to the title of the paper).
We conjecture that our construction gives rise to a new knot polynomial for
knots of unknotting number one.
| math.GT | let mathcal m be the space of all including singular long knots in 3space and for which a fixed projection into the plane is an immersion let clsigma1_iness be the closure of the union of all singular knots in mathcal m with exactly one ordinary double point and such that the two resolutions represent the same non singular knot type we call sigma1_iness the em inessential walls and we call mathcal m_ess mathcal m setminus clsigma1_iness the em essential diagram space we construct a non trivial class in h1mathcal m_ess mathbbza a1 by an extension of the kauffman bracket this implies in particular that there are loops in mathcal m_ess which consist of regular isotopies of knots together with crossing changings and which are not contractible in mathcal m_ess leading to the title of the paper we conjecture that our construction gives rise to a new knot polynomial for knots of unknotting number one | [['let', 'mathcal', 'm', 'be', 'the', 'space', 'of', 'all', 'including', 'singular', 'long', 'knots', 'in', '3space', 'and', 'for', 'which', 'a', 'fixed', 'projection', 'into', 'the', 'plane', 'is', 'an', 'immersion', 'let', 'clsigma1_iness', 'be', 'the', 'closure', 'of', 'the', 'union', 'of', 'all', 'singular', 'knots', 'in', 'mathcal', 'm', 'with', 'exactly', 'one', 'ordinary', 'double', 'point', 'and', 'such', 'that', 'the', 'two', 'resolutions', 'represent', 'the', 'same', 'non', 'singular', 'knot', 'type', 'we', 'call', 'sigma1_iness', 'the', 'em', 'inessential', 'walls', 'and', 'we', 'call', 'mathcal', 'm_ess', 'mathcal', 'm', 'setminus', 'clsigma1_iness', 'the', 'em', 'essential', 'diagram', 'space', 'we', 'construct', 'a', 'non', 'trivial', 'class', 'in', 'h1mathcal', 'm_ess', 'mathbbza', 'a1', 'by', 'an', 'extension', 'of', 'the', 'kauffman', 'bracket', 'this', 'implies', 'in', 'particular', 'that', 'there', 'are', 'loops', 'in', 'mathcal', 'm_ess', 'which', 'consist', 'of', 'regular', 'isotopies', 'of', 'knots', 'together', 'with', 'crossing', 'changings', 'and', 'which', 'are', 'not', 'contractible', 'in', 'mathcal', 'm_ess', 'leading', 'to', 'the', 'title', 'of', 'the', 'paper', 'we', 'conjecture', 'that', 'our', 'construction', 'gives', 'rise', 'to', 'a', 'new', 'knot', 'polynomial', 'for', 'knots', 'of', 'unknotting', 'number', 'one']] | [-0.2344755313652974, 0.11642243008573865, -0.0679193493103821, 0.033551110229736204, -0.08636713158745543, -0.16284930555074906, -0.024638326644066146, 0.3174218319062669, -0.299420470559357, -0.21470325482359168, 0.06785330670454458, -0.24941114339846243, -0.1375083992056136, 0.17589394969321887, -0.12336400661448754, -0.0620874221367924, 0.04305155734975366, 0.08225388052379524, -0.07080003791629343, -0.23650136320686105, 0.37167768308505317, -0.07095374615047277, 0.14372379144016129, 0.018798853326963898, 0.08318223300133676, -0.008015005152372506, 0.01368798042691294, 0.03849192916989114, -0.19211653768995757, 0.09821567769574889, 0.26046704550917515, 0.07519841517928062, 0.16566756735212051, -0.38294011092551, -0.11234257973776661, 0.22683276298562152, 0.17633688922708968, -0.0498723016993999, 0.028735118063366753, -0.24233476576339077, 0.09858022436762116, -0.14926276626139598, -0.17059002499621137, -0.04318296577431412, 0.07087068859137745, 0.015167230274528265, -0.22335076680088153, -0.03705908464746012, 0.10398312215849558, 0.05772401666543728, -0.0036515844517056176, -0.09192642218264557, -0.07800528659460279, 0.08810906387215493, -0.026534032965729, 0.12325930158176378, 0.015324063745996095, -0.08418917983939134, -0.12174157009478784, 0.3735456842688481, -0.06743457693069073, -0.20524409587101247, 0.13945594490755775, -0.1773558374433372, -0.2054664523422018, 0.20441671296322855, 0.05407781076723797, 0.1330486725411853, -0.03417140428108107, 0.1778275109436863, -0.1529091666546344, 0.06319914838309312, 0.10677201173974564, 0.00929541642396342, 0.16482931397692768, 0.07482267589692726, 0.10152511224900716, 0.14809272728154074, -0.03186560775334603, -0.0352979435916715, -0.3868994076655015, -0.23315397379533137, -0.12294582324961963, 0.11879038819959216, -0.09800187923325125, -0.22176254202530488, 0.37950981327726335, 0.05748639777677771, 0.22394628142203585, 0.08532118178738418, 0.2144280862338191, 0.055221086971918056, 0.07342386397614376, 0.1367100954349559, 0.12208202486270225, 0.12561866812464226, -0.035219759497504007, -0.12649913419400585, -0.02138812093676737, 0.21344086490634004] |
710.4254 | Study of the Dynamics of Large Reflector Antennas with Accelerometers | The Atacama Large Millimeter Array (ALMA) will consist of up to 64
state-of-the-art sub-mm telescopes, subject to stringent performance
specifications which will push the boundaries of the technology, and makes
testing of antenna performance a likewise challenging task. Two antenna
prototypes were evaluated at the ALMA Test Facility at the Very Large Array
site in New Mexico, USA. The dynamic behaviour of the antennas under
operational conditions was investigated with the help of an accelerometer
system capable of measuring rigid body motion of the elevation structure of the
antenna, as well as a few low-order deformation modes, resulting in dynamic
performance numbers for pointing stability, reflector surface stability, path
length stability, and structure flexure. Special emphasis was given to wind
effects, one of the major factors affecting performance on timescales of
seconds to tens of minutes. This paper describes the accelerometer system, its
capabilities and limitations, and presents the dynamic performance results of
the two prototype antennas investigated.
| astro-ph | the atacama large millimeter array alma will consist of up to 64 stateoftheart submm telescopes subject to stringent performance specifications which will push the boundaries of the technology and makes testing of antenna performance a likewise challenging task two antenna prototypes were evaluated at the alma test facility at the very large array site in new mexico usa the dynamic behaviour of the antennas under operational conditions was investigated with the help of an accelerometer system capable of measuring rigid body motion of the elevation structure of the antenna as well as a few loworder deformation modes resulting in dynamic performance numbers for pointing stability reflector surface stability path length stability and structure flexure special emphasis was given to wind effects one of the major factors affecting performance on timescales of seconds to tens of minutes this paper describes the accelerometer system its capabilities and limitations and presents the dynamic performance results of the two prototype antennas investigated | [['the', 'atacama', 'large', 'millimeter', 'array', 'alma', 'will', 'consist', 'of', 'up', 'to', '64', 'stateoftheart', 'submm', 'telescopes', 'subject', 'to', 'stringent', 'performance', 'specifications', 'which', 'will', 'push', 'the', 'boundaries', 'of', 'the', 'technology', 'and', 'makes', 'testing', 'of', 'antenna', 'performance', 'a', 'likewise', 'challenging', 'task', 'two', 'antenna', 'prototypes', 'were', 'evaluated', 'at', 'the', 'alma', 'test', 'facility', 'at', 'the', 'very', 'large', 'array', 'site', 'in', 'new', 'mexico', 'usa', 'the', 'dynamic', 'behaviour', 'of', 'the', 'antennas', 'under', 'operational', 'conditions', 'was', 'investigated', 'with', 'the', 'help', 'of', 'an', 'accelerometer', 'system', 'capable', 'of', 'measuring', 'rigid', 'body', 'motion', 'of', 'the', 'elevation', 'structure', 'of', 'the', 'antenna', 'as', 'well', 'as', 'a', 'few', 'loworder', 'deformation', 'modes', 'resulting', 'in', 'dynamic', 'performance', 'numbers', 'for', 'pointing', 'stability', 'reflector', 'surface', 'stability', 'path', 'length', 'stability', 'and', 'structure', 'flexure', 'special', 'emphasis', 'was', 'given', 'to', 'wind', 'effects', 'one', 'of', 'the', 'major', 'factors', 'affecting', 'performance', 'on', 'timescales', 'of', 'seconds', 'to', 'tens', 'of', 'minutes', 'this', 'paper', 'describes', 'the', 'accelerometer', 'system', 'its', 'capabilities', 'and', 'limitations', 'and', 'presents', 'the', 'dynamic', 'performance', 'results', 'of', 'the', 'two', 'prototype', 'antennas', 'investigated']] | [-0.19078948203757218, 0.08724359106325877, 0.0061935727054229645, -0.003260379649044451, -0.07751191302078858, -0.14043154248516843, 0.0004487992949559813, 0.389328485484459, -0.20663573703716828, -0.3530582038662102, 0.14710678203072683, -0.2558512336565653, -0.11303810934430059, 0.2337499845513626, -0.06301807210768891, 0.08630874403715547, 0.12533340796008943, -0.01891787632816483, -0.027458414193714344, -0.21443687177770124, 0.2351696377817565, 0.177408465595409, 0.31239874652863914, 0.036168895153066476, 0.12739151819164074, -0.05980932922360393, -0.006325037119898332, 0.019184865366926866, -0.08247027957894473, 0.07984278795804499, 0.2780480841137881, 0.11962704477784565, 0.25773961679852286, -0.4439037193225909, -0.15135019248693332, -0.008555395076275344, 0.07420685168214236, 0.02451921479490621, 0.005920616732291359, -0.3116032536424508, 0.06894396829029804, -0.17060139975226868, -0.19182420190117216, 0.026254653193858227, 0.005777384154498577, 0.06080647491808698, -0.23585544930125552, -0.02693883848635928, -0.018809038747096128, 0.10629432701617715, -0.060380600784799156, -0.14797881801312057, 0.043552072116032334, 0.179862767860258, 0.02264507879986416, -0.019764935279477248, 0.15932248476627459, -0.12062419628977918, -0.08186223988032228, 0.39449641648738915, -0.045075624532808986, -0.15321579066332122, 0.20700409871089873, -0.18249787621589117, -0.1386631478590867, 0.1645646780630562, 0.23202611719953675, 0.07813653687480837, -0.16394944620227347, 0.020735264571584006, 0.03693820178933159, 0.2286453332893456, 0.12378966340300025, 0.06880881193482989, 0.24519708958334516, 0.2722684371806799, 0.07362954503019588, 0.17857269353905245, -0.21646526382640713, -0.05582641465500988, -0.2461416759068453, -0.10624728061235215, -0.14718874656120787, 0.0176101713780243, -0.0810465228171353, -0.1132055177070389, 0.4006028434149685, 0.15072483575130707, 0.10876276731031322, 0.047032136485552344, 0.3502025768231553, -0.0023195461349420346, 0.10314985247965477, 0.0056131491905426064, 0.2633335792954681, 0.07808247947095763, 0.14035074878926093, -0.2292377370707337, 0.03926596087492012, -0.002705019063174819] |
710.4255 | Analysis of a Mixed Strategy for Multiple Relay Networks | In their landmark paper Cover and El Gamal proposed different coding
strategies for the relay channel with a single relay supporting a communication
pair. These strategies are the decode-and-forward and compress-and-forward
approach, as well as a general lower bound on the capacity of a relay network
which relies on the mixed application of the previous two strategies. So far,
only parts of their work - the decode-and-forward and the compress-and-forward
strategy - have been applied to networks with multiple relays.
This paper derives a mixed strategy for multiple relay networks using a
combined approach of partial decode-and-forward with N +1 levels and the ideas
of successive refinement with different side information at the receivers.
After describing the protocol structure, we present the achievable rates for
the discrete memoryless relay channel as well as Gaussian multiple relay
networks. Using these results we compare the mixed strategy with some special
cases, e. g., multilevel decode-and-forward, distributed compress-and-forward
and a mixed approach where one relay node operates in decode-and-forward and
the other in compress-and-forward mode.
| cs.IT math.IT | in their landmark paper cover and el gamal proposed different coding strategies for the relay channel with a single relay supporting a communication pair these strategies are the decodeandforward and compressandforward approach as well as a general lower bound on the capacity of a relay network which relies on the mixed application of the previous two strategies so far only parts of their work the decodeandforward and the compressandforward strategy have been applied to networks with multiple relays this paper derives a mixed strategy for multiple relay networks using a combined approach of partial decodeandforward with n 1 levels and the ideas of successive refinement with different side information at the receivers after describing the protocol structure we present the achievable rates for the discrete memoryless relay channel as well as gaussian multiple relay networks using these results we compare the mixed strategy with some special cases e g multilevel decodeandforward distributed compressandforward and a mixed approach where one relay node operates in decodeandforward and the other in compressandforward mode | [['in', 'their', 'landmark', 'paper', 'cover', 'and', 'el', 'gamal', 'proposed', 'different', 'coding', 'strategies', 'for', 'the', 'relay', 'channel', 'with', 'a', 'single', 'relay', 'supporting', 'a', 'communication', 'pair', 'these', 'strategies', 'are', 'the', 'decodeandforward', 'and', 'compressandforward', 'approach', 'as', 'well', 'as', 'a', 'general', 'lower', 'bound', 'on', 'the', 'capacity', 'of', 'a', 'relay', 'network', 'which', 'relies', 'on', 'the', 'mixed', 'application', 'of', 'the', 'previous', 'two', 'strategies', 'so', 'far', 'only', 'parts', 'of', 'their', 'work', 'the', 'decodeandforward', 'and', 'the', 'compressandforward', 'strategy', 'have', 'been', 'applied', 'to', 'networks', 'with', 'multiple', 'relays', 'this', 'paper', 'derives', 'a', 'mixed', 'strategy', 'for', 'multiple', 'relay', 'networks', 'using', 'a', 'combined', 'approach', 'of', 'partial', 'decodeandforward', 'with', 'n', '1', 'levels', 'and', 'the', 'ideas', 'of', 'successive', 'refinement', 'with', 'different', 'side', 'information', 'at', 'the', 'receivers', 'after', 'describing', 'the', 'protocol', 'structure', 'we', 'present', 'the', 'achievable', 'rates', 'for', 'the', 'discrete', 'memoryless', 'relay', 'channel', 'as', 'well', 'as', 'gaussian', 'multiple', 'relay', 'networks', 'using', 'these', 'results', 'we', 'compare', 'the', 'mixed', 'strategy', 'with', 'some', 'special', 'cases', 'e', 'g', 'multilevel', 'decodeandforward', 'distributed', 'compressandforward', 'and', 'a', 'mixed', 'approach', 'where', 'one', 'relay', 'node', 'operates', 'in', 'decodeandforward', 'and', 'the', 'other', 'in', 'compressandforward', 'mode']] | [-0.2183158288764603, 0.003766790698008502, -0.06651013703085482, -0.006805222093209843, -0.0609211992513498, -0.35784852385575716, 0.17133338129805292, 0.4047867365756675, -0.28387553885798245, -0.2304717293173513, 0.08654277109992964, -0.2364867854740142, -0.16598047900342328, 0.11389576208722942, -0.0811361038893023, 0.053677981889204064, 0.016670763388495234, 0.048342557432239544, 0.016339657836429336, -0.2843331987462828, 0.3467806527233573, 0.10258012014057706, 0.3773058974184096, -0.007953622668762417, 0.09299465328016703, 0.05221499154234634, -0.04192918907193577, -0.07733267824130641, -0.09647151645382537, 0.057789008004371735, 0.3559207851683502, 0.1571545091252226, 0.2820827315410818, -0.40644312049536147, -0.28629162682439474, 0.04498753732015543, 0.16307616759475102, 0.11435365357559503, 0.00018205055830014102, -0.2840350671767202, 0.09929587810355074, -0.25955697615795276, 0.03811037682325524, 0.05538227053304367, -0.13191537845379891, 0.07354900117087014, -0.3602150617328281, 0.0010967426029417444, 0.027051911444184097, 0.028182271594585688, -0.05414797377443927, -0.18626443308380924, 0.007117630097576801, 0.15911212116616832, -0.04009420740116826, -0.01431802671868354, 0.05966954501414233, -0.07816069530364235, -0.19850908008897128, 0.29386671536109027, -0.034589131750330765, -0.22577943629859126, 0.17952566735980593, -0.0403888072599383, -0.1428063128116157, 0.10471023125916391, 0.2328892214826363, 0.1687360279426417, -0.16389648617443847, -0.002712170501677867, -0.031868724626153436, 0.11935891660532968, 0.11217394073712914, 0.13182016855879577, 0.0898511994698578, 0.19166996986194348, 0.1364488764645477, 0.14900433759595377, -0.14995148694485097, -0.14103391330059178, -0.2518365528061301, -0.09352195734904586, -0.20305117808388518, -0.029605766978827032, -0.10008757539155126, -0.049752110346932624, 0.34235127993777176, 0.07150601721231771, 0.1300470509703326, 0.12090295454391334, 0.3962964774054639, 0.0817599797511802, 0.01430629778872518, 0.1529639908728902, 0.1824569716140532, 0.126888880210326, 0.10870298001203028, -0.17974675911040428, 0.07433928439448423, 0.027624920554294743] |
710.4256 | (1+1)-dimensional separation of variables | In this paper we explore general conditions which guarantee that the geodesic
flow on a 2-dimensional manifold with indefinite signature is locally
separable. This is equivalent to showing that a 2-dimensional natural
Hamiltonian system on the hyperbolic plane possesses a second integral of
motion which is a quadratic polynomial in the momenta associated with a
2nd-rank Killing tensor. We examine the possibility that the integral is
preserved by the Hamiltonian flow on a given energy hypersurface only (weak
integrability) and derive the additional requirement necessary to have
conservation at arbitrary values of the Hamiltonian (strong integrability).
Using null coordinates, we show that the leading-order coefficients of the
invariant are arbitrary functions of one variable in the case of weak
integrability. These functions are quadratic polynomials in the coordinates in
the case of strong integrability. We show that for $(1+1)$-dimensional systems
there are three possible types of conformal Killing tensors, and therefore,
three distinct separability structures in contrast to the single standard
Hamilton-Jacobi type separation in the positive definite case. One of the new
separability structures is the complex/harmonic type which is characterized by
complex separation variables. The other new type is the linear/null separation
which occurs when the conformal Killing tensor has a null eigenvector.
| nlin.SI math-ph math.MP | in this paper we explore general conditions which guarantee that the geodesic flow on a 2dimensional manifold with indefinite signature is locally separable this is equivalent to showing that a 2dimensional natural hamiltonian system on the hyperbolic plane possesses a second integral of motion which is a quadratic polynomial in the momenta associated with a 2ndrank killing tensor we examine the possibility that the integral is preserved by the hamiltonian flow on a given energy hypersurface only weak integrability and derive the additional requirement necessary to have conservation at arbitrary values of the hamiltonian strong integrability using null coordinates we show that the leadingorder coefficients of the invariant are arbitrary functions of one variable in the case of weak integrability these functions are quadratic polynomials in the coordinates in the case of strong integrability we show that for 11dimensional systems there are three possible types of conformal killing tensors and therefore three distinct separability structures in contrast to the single standard hamiltonjacobi type separation in the positive definite case one of the new separability structures is the complexharmonic type which is characterized by complex separation variables the other new type is the linearnull separation which occurs when the conformal killing tensor has a null eigenvector | [['in', 'this', 'paper', 'we', 'explore', 'general', 'conditions', 'which', 'guarantee', 'that', 'the', 'geodesic', 'flow', 'on', 'a', '2dimensional', 'manifold', 'with', 'indefinite', 'signature', 'is', 'locally', 'separable', 'this', 'is', 'equivalent', 'to', 'showing', 'that', 'a', '2dimensional', 'natural', 'hamiltonian', 'system', 'on', 'the', 'hyperbolic', 'plane', 'possesses', 'a', 'second', 'integral', 'of', 'motion', 'which', 'is', 'a', 'quadratic', 'polynomial', 'in', 'the', 'momenta', 'associated', 'with', 'a', '2ndrank', 'killing', 'tensor', 'we', 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710.4257 | Pairing mean-field theory for the dynamics of dissociation of molecular
Bose-Einstein condensates | We develop a pairing mean-field theory to describe the quantum dynamics of
the dissociation of molecular Bose-Einstein condensates into their constituent
bosonic or fermionic atoms. We apply the theory to one, two, and
three-dimensional geometries and analyze the role of dimensionality on the atom
production rate as a function of the dissociation energy. As well as
determining the populations and coherences of the atoms, we calculate the
correlations that exist between atoms of opposite momenta, including the column
density correlations in 3D systems. We compare the results with those of the
undepleted molecular field approximation and argue that the latter is most
reliable in fermionic systems and in lower dimensions. In the bosonic case we
compare the pairing mean-field results with exact calculations using the
positive-$P$ stochastic method and estimate the range of validity of the
pairing mean-field theory. Comparisons with similar first-principle simulations
in the fermionic case are currently not available, however, we argue that the
range of validity of the present approach should be broader for fermions than
for bosons in the regime where Pauli blocking prevents complete depletion of
the molecular condensate.
| cond-mat.other cond-mat.stat-mech | we develop a pairing meanfield theory to describe the quantum dynamics of the dissociation of molecular boseeinstein condensates into their constituent bosonic or fermionic atoms we apply the theory to one two and threedimensional geometries and analyze the role of dimensionality on the atom production rate as a function of the dissociation energy as well as determining the populations and coherences of the atoms we calculate the correlations that exist between atoms of opposite momenta including the column density correlations in 3d systems we compare the results with those of the undepleted molecular field approximation and argue that the latter is most reliable in fermionic systems and in lower dimensions in the bosonic case we compare the pairing meanfield results with exact calculations using the positivep stochastic method and estimate the range of validity of the pairing meanfield theory comparisons with similar firstprinciple simulations in the fermionic case are currently not available however we argue that the range of validity of the present approach should be broader for fermions than for bosons in the regime where pauli blocking prevents complete depletion of the molecular condensate | [['we', 'develop', 'a', 'pairing', 'meanfield', 'theory', 'to', 'describe', 'the', 'quantum', 'dynamics', 'of', 'the', 'dissociation', 'of', 'molecular', 'boseeinstein', 'condensates', 'into', 'their', 'constituent', 'bosonic', 'or', 'fermionic', 'atoms', 'we', 'apply', 'the', 'theory', 'to', 'one', 'two', 'and', 'threedimensional', 'geometries', 'and', 'analyze', 'the', 'role', 'of', 'dimensionality', 'on', 'the', 'atom', 'production', 'rate', 'as', 'a', 'function', 'of', 'the', 'dissociation', 'energy', 'as', 'well', 'as', 'determining', 'the', 'populations', 'and', 'coherences', 'of', 'the', 'atoms', 'we', 'calculate', 'the', 'correlations', 'that', 'exist', 'between', 'atoms', 'of', 'opposite', 'momenta', 'including', 'the', 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710.4258 | The Double Chooz reactor neutrino experiment | The Double Chooz reactor neutrino experiment will be the next detector to
search for a non vanishing theta13 mixing angle with unprecedented sensitivity,
which might open the way to unveiling CP violation in the leptonic sector. The
measurement of this angle will be based in a precise comparison of the
antineutrino spectrum at two identical detectors located at different distances
from the Chooz nuclear reactor cores in France. Double Chooz is particularly
attractive because of its capability to measure sin2(2theta13) to 3 sigmas if
sin2(2theta13) > 0.05 or to exclude sin2(2theta13) down to 0.03 at 90% C.L. for
Dm2 = 2.5 x 10-3 eV2 in three years of data taking with both detectors. The
construction of the far detector starts in 2008 and the first neutrino results
are expected in 2009. The current status of the experiment, its physics
potential and design and expected performance of the detector are reviewed.
| hep-ex | the double chooz reactor neutrino experiment will be the next detector to search for a non vanishing theta13 mixing angle with unprecedented sensitivity which might open the way to unveiling cp violation in the leptonic sector the measurement of this angle will be based in a precise comparison of the antineutrino spectrum at two identical detectors located at different distances from the chooz nuclear reactor cores in france double chooz is particularly attractive because of its capability to measure sin22theta13 to 3 sigmas if sin22theta13 005 or to exclude sin22theta13 down to 003 at 90 cl for dm2 25 x 103 ev2 in three years of data taking with both detectors the construction of the far detector starts in 2008 and the first neutrino results are expected in 2009 the current status of the experiment its physics potential and design and expected performance of the detector are reviewed | [['the', 'double', 'chooz', 'reactor', 'neutrino', 'experiment', 'will', 'be', 'the', 'next', 'detector', 'to', 'search', 'for', 'a', 'non', 'vanishing', 'theta13', 'mixing', 'angle', 'with', 'unprecedented', 'sensitivity', 'which', 'might', 'open', 'the', 'way', 'to', 'unveiling', 'cp', 'violation', 'in', 'the', 'leptonic', 'sector', 'the', 'measurement', 'of', 'this', 'angle', 'will', 'be', 'based', 'in', 'a', 'precise', 'comparison', 'of', 'the', 'antineutrino', 'spectrum', 'at', 'two', 'identical', 'detectors', 'located', 'at', 'different', 'distances', 'from', 'the', 'chooz', 'nuclear', 'reactor', 'cores', 'in', 'france', 'double', 'chooz', 'is', 'particularly', 'attractive', 'because', 'of', 'its', 'capability', 'to', 'measure', 'sin22theta13', 'to', '3', 'sigmas', 'if', 'sin22theta13', '005', 'or', 'to', 'exclude', 'sin22theta13', 'down', 'to', '003', 'at', '90', 'cl', 'for', 'dm2', '25', 'x', '103', 'ev2', 'in', 'three', 'years', 'of', 'data', 'taking', 'with', 'both', 'detectors', 'the', 'construction', 'of', 'the', 'far', 'detector', 'starts', 'in', '2008', 'and', 'the', 'first', 'neutrino', 'results', 'are', 'expected', 'in', '2009', 'the', 'current', 'status', 'of', 'the', 'experiment', 'its', 'physics', 'potential', 'and', 'design', 'and', 'expected', 'performance', 'of', 'the', 'detector', 'are', 'reviewed']] | [-0.08278908516513184, 0.211803606335338, -0.033018840942531824, 0.08869754426130974, -0.033403209637145735, -0.15722851409904054, 0.10210928937571274, 0.29734768775115544, -0.2233812833374769, -0.36185310204588883, 0.11750858970697516, -0.3682718601556042, -0.0019078863410253984, 0.20548837476667972, -0.0016023013929559573, 0.050644625178884364, 0.09591524671044238, -0.0009916683885495404, -0.13153203188542378, -0.21229840288445279, 0.20554284213387683, 0.16718287957475106, 0.255342255066451, 0.082742554812088, 0.06488583749081511, -0.0830882122198189, -0.0508586998110184, -0.0713608333262036, -0.09333000628818833, 0.031944209675153566, 0.277991880019112, 0.12772584392538144, 0.13160477137520304, -0.3703991899115814, -0.07801806159467732, 0.15691692422056017, 0.07996626768569537, 0.0028721746301114863, -0.04333322487670828, -0.3222883969948098, 0.07543259899751786, -0.20661947514383575, -0.1625141861181505, 0.03531612950059384, 0.004955194034689182, -0.04395738909826488, -0.2868345196270761, 0.06615703309315094, -0.04938671090703055, 0.01435316214023309, 0.0246368602053514, -0.21227329366878178, 0.04640282572221917, 0.07461110591051497, 0.054477532833147595, 0.04367967020103557, 0.11641608273321008, -0.11691663439096128, -0.08461162827065768, 0.36920407703901464, -0.054624830703785945, -0.09934767677817502, 0.13535773841431364, -0.2647204987698461, -0.13305962028145488, 0.1392006848221393, 0.1757615977320883, 0.025585730276951515, -0.19954653313333118, 0.06354341151804752, -0.009996546130325343, 0.17396418748634263, 0.09197261993225815, 0.014360734560476566, 0.281324121668444, 0.2799998573027551, 0.11970221226707704, -0.02214860589073568, -0.23583753753573056, -0.03459932677749846, -0.3347505785216502, -0.09593357699879955, -0.08388601894477836, 0.09494394727831555, -0.03412388983417406, -0.07144285731546178, 0.3993423142898324, 0.1197924766173536, 0.15592360381364218, 0.001846301181374017, 0.29031832945986175, 0.00367420758718524, 0.06353379500561042, -0.024037749987926234, 0.3955663685762399, 0.13662299391738064, 0.1447767207707354, -0.20931292730037476, 0.054967923876451885, -0.023278589939346183] |
710.4259 | Ergodicity of Langevin Processes with Degenerate Diffusion in Momentums | This paper introduces a geometric method for proving ergodicity of degenerate
noise driven stochastic processes. The driving noise is assumed to be an
arbitrary Levy process with non-degenerate diffusion component (but that may be
applied to a single degree of freedom of the system). The geometric conditions
are the approximate controllability of the process the fact that there exists a
point in the phase space where the interior of the image of a point via a
secondarily randomized version of the driving noise is non void. The paper
applies the method to prove ergodicity of a sliding disk governed by
Langevin-type equations (a simple stochastic rigid body system). The paper
shows that a key feature of this Langevin process is that even though the
diffusion and drift matrices associated to the momentums are degenerate, the
system is still at uniform temperature.
| math.PR | this paper introduces a geometric method for proving ergodicity of degenerate noise driven stochastic processes the driving noise is assumed to be an arbitrary levy process with nondegenerate diffusion component but that may be applied to a single degree of freedom of the system the geometric conditions are the approximate controllability of the process the fact that there exists a point in the phase space where the interior of the image of a point via a secondarily randomized version of the driving noise is non void the paper applies the method to prove ergodicity of a sliding disk governed by langevintype equations a simple stochastic rigid body system the paper shows that a key feature of this langevin process is that even though the diffusion and drift matrices associated to the momentums are degenerate the system is still at uniform temperature | [['this', 'paper', 'introduces', 'a', 'geometric', 'method', 'for', 'proving', 'ergodicity', 'of', 'degenerate', 'noise', 'driven', 'stochastic', 'processes', 'the', 'driving', 'noise', 'is', 'assumed', 'to', 'be', 'an', 'arbitrary', 'levy', 'process', 'with', 'nondegenerate', 'diffusion', 'component', 'but', 'that', 'may', 'be', 'applied', 'to', 'a', 'single', 'degree', 'of', 'freedom', 'of', 'the', 'system', 'the', 'geometric', 'conditions', 'are', 'the', 'approximate', 'controllability', 'of', 'the', 'process', 'the', 'fact', 'that', 'there', 'exists', 'a', 'point', 'in', 'the', 'phase', 'space', 'where', 'the', 'interior', 'of', 'the', 'image', 'of', 'a', 'point', 'via', 'a', 'secondarily', 'randomized', 'version', 'of', 'the', 'driving', 'noise', 'is', 'non', 'void', 'the', 'paper', 'applies', 'the', 'method', 'to', 'prove', 'ergodicity', 'of', 'a', 'sliding', 'disk', 'governed', 'by', 'langevintype', 'equations', 'a', 'simple', 'stochastic', 'rigid', 'body', 'system', 'the', 'paper', 'shows', 'that', 'a', 'key', 'feature', 'of', 'this', 'langevin', 'process', 'is', 'that', 'even', 'though', 'the', 'diffusion', 'and', 'drift', 'matrices', 'associated', 'to', 'the', 'momentums', 'are', 'degenerate', 'the', 'system', 'is', 'still', 'at', 'uniform', 'temperature']] | [-0.15994330849465485, 0.13208337825095917, -0.12024457469014517, 0.02528858456758529, -0.04040577419016325, -0.1388270689821835, 0.024557587569282252, 0.33638303145660575, -0.3404177455429701, -0.20786779579138448, 0.12283616184326325, -0.22214013671647784, -0.1679545173897071, 0.16672903549005377, -0.09968906521040893, 0.037182715211182514, 0.06320748289267644, 0.018243183016922352, -0.02823628153130148, -0.2085832062818057, 0.37300321505015305, 0.038028130290042345, 0.23606910478614324, -0.004685106292591556, 0.17753472550712684, -0.03194161120914451, 0.007450730169971361, 0.016771657622529933, -0.08469740794216124, 0.08489367328394297, 0.1957092705539408, 0.04706839642467651, 0.2827495097294978, -0.37494694785023414, -0.21879545543078624, 0.14500292516082314, 0.12663806903676347, 0.13191263828135974, -0.05986762871959161, -0.2622183519564173, 0.0685302507304025, -0.11399335485764578, -0.18100296605563332, -0.05217065439387786, 0.0027778670257816076, 0.026419482312779477, -0.3272240237722583, 0.10796859129232929, 0.17105198807102887, 0.047702793177243664, -0.035312945113999517, -0.05591420214111316, -0.017801569593105967, 0.09010812391507182, 0.021899604569858018, 0.03379193163007921, 0.15772937169523105, -0.11287695575664018, -0.09095837333048067, 0.38228348148854596, -0.06625486357989623, -0.25876613732770826, 0.19033350549466538, -0.13838137540609596, -0.11822876149907391, 0.18540757198335853, 0.1514237149294915, 0.10962871892182884, -0.2101366995298799, 0.11215042580432648, -0.019061776743343112, 0.15321299084420945, 0.029366157707883745, -0.011898918467052017, 0.17557395630390615, 0.17198199490481553, 0.14319720940915406, 0.14361265190573186, -0.07150826759756945, -0.14894026245736908, -0.3138827031531127, -0.1588242131860015, -0.20882900952483718, 0.07019157407983662, -0.09146192502418239, -0.20421873460728543, 0.36647976341687066, 0.15537125997555754, 0.19933110148586491, 0.04038512214674806, 0.28453357291411185, 0.18730691661199567, -0.01374199591306243, 0.07402970481677153, 0.2006141583151217, 0.14640630579038344, 0.0975311687975752, -0.21042945332402455, 0.0990236286595728, 0.06560402728471879] |
710.426 | Carter's constant revealed | A new formulation of Carter's constant for geodesic motion in Kerr black
holes is given. It is shown that Carter's constant corresponds to the total
angular momentum plus a precisely defined part which is quadratic in the linear
momenta. The characterization is exact in the weak field limit obtained by
letting the gravitational constant go to zero. It is suggested that the new
form can be useful in current studies of the dynamics of extreme mass ratio
inspiral (EMRI) systems emitting gravitational radiation.
| gr-qc astro-ph | a new formulation of carters constant for geodesic motion in kerr black holes is given it is shown that carters constant corresponds to the total angular momentum plus a precisely defined part which is quadratic in the linear momenta the characterization is exact in the weak field limit obtained by letting the gravitational constant go to zero it is suggested that the new form can be useful in current studies of the dynamics of extreme mass ratio inspiral emri systems emitting gravitational radiation | [['a', 'new', 'formulation', 'of', 'carters', 'constant', 'for', 'geodesic', 'motion', 'in', 'kerr', 'black', 'holes', 'is', 'given', 'it', 'is', 'shown', 'that', 'carters', 'constant', 'corresponds', 'to', 'the', 'total', 'angular', 'momentum', 'plus', 'a', 'precisely', 'defined', 'part', 'which', 'is', 'quadratic', 'in', 'the', 'linear', 'momenta', 'the', 'characterization', 'is', 'exact', 'in', 'the', 'weak', 'field', 'limit', 'obtained', 'by', 'letting', 'the', 'gravitational', 'constant', 'go', 'to', 'zero', 'it', 'is', 'suggested', 'that', 'the', 'new', 'form', 'can', 'be', 'useful', 'in', 'current', 'studies', 'of', 'the', 'dynamics', 'of', 'extreme', 'mass', 'ratio', 'inspiral', 'emri', 'systems', 'emitting', 'gravitational', 'radiation']] | [-0.1841635688541861, 0.14221340548022685, -0.061600958524518704, 0.09121935145441352, -0.1261030258723052, -0.09612699970602989, -0.023749329149723053, 0.2769423724791731, -0.22898464658892298, -0.2754937783669097, 0.05702368372557572, -0.25494846145072614, -0.09698620537879417, 0.22494172744722252, -0.04478782027712967, 0.052808211370180526, 0.030787828139938325, 0.059853976934654524, -0.06180938288950956, -0.21270221849364868, 0.32868092702365065, 0.10349073009116642, 0.20155292618683124, -0.004117629507623882, 0.1272517769676016, 0.022779100097670972, 0.0022238955429070687, 0.06766444061187107, -0.15313067751553006, 0.03518873965928713, 0.21123802675921693, 0.10731177422476101, 0.24285499034281147, -0.33613438867256945, -0.20355605693107628, 0.0887865228915071, 0.14020855612604013, 0.13264159301256603, -0.03918108496680317, -0.24469372976279583, 0.059994910048399436, -0.17471762055374054, -0.18094481036897345, -0.03647004673818508, 0.09546796749317907, -0.0030230398413287588, -0.26598949290542717, 0.10323846388428685, 0.08354033613282941, -0.07972237838050687, -0.0756780120504863, -0.06244352158630289, -0.019209674099482685, 0.08599960277732237, 0.11171451742558863, 0.09350496977118843, 0.16752663957718086, -0.09042238577616861, -0.06835235882528036, 0.3858142025005746, -0.13393086377609836, -0.24240794281071298, 0.132202351477042, -0.2192131458804101, -0.08758437031240437, 0.172194728807333, 0.14585461037749625, 0.17833802010302982, -0.16940755798784365, 0.1389367728752185, -0.004095518978379936, 0.15422437737235822, 0.11548593726727259, 0.038646920735622384, 0.3083899830501661, 0.10206996030118091, 0.07206455910443721, 0.1339869288130136, -0.05202766696933702, -0.09224256544362709, -0.31147001719618417, -0.14710533031380274, -0.21504540002977768, 0.13370634257900024, -0.13042775696951403, -0.14722089135159558, 0.30773182353285333, 0.08514639141643982, 0.17473825320870762, 0.02772780513693859, 0.30291913069612997, 0.18221918159411346, 0.07240842119790614, 0.0848974731381904, 0.37597128993506174, 0.15433206169372313, 0.09298925024333847, -0.23304108264351106, -0.01030958685687328, 0.08459505660975554] |
710.4261 | Survivable MPLS Over Optical Transport Networks: Cost and Resource Usage
Analysis | In this paper we study different options for the survivability implementation
in MPLS over Optical Transport Networks (OTN) in terms of network resource
usage and configuration cost. We investigate two approaches to the
survivability deployment: single layer and multilayer survivability and present
various methods for spare capacity allocation (SCA) to reroute disrupted
traffic. The comparative analysis shows the influence of the offered traffic
granularity and the physical network structure on the survivability cost: for
high bandwidth LSPs, close to the optical channel capacity, the multilayer
survivability outperforms the single layer one, whereas for low bandwidth LSPs
the single layer survivability is more cost-efficient. On the other hand,
sparse networks of low connectivity parameter use more wavelengths for optical
path routing and increase the configuration cost, as compared with dense
networks. We demonstrate that by mapping efficiently the spare capacity of the
MPLS layer onto the resources of the optical layer one can achieve up to 22%
savings in the total configuration cost and up to 37% in the optical layer
cost. Further savings (up to 9 %) in the wavelength use can be obtained with
the integrated approach to network configuration over the sequential one,
however, at the increase in the optimization problem complexity. These results
are based on a cost model with different cost variations, and were obtained for
networks targeted to a nationwide coverage.
| cs.NI cs.PF | in this paper we study different options for the survivability implementation in mpls over optical transport networks otn in terms of network resource usage and configuration cost we investigate two approaches to the survivability deployment single layer and multilayer survivability and present various methods for spare capacity allocation sca to reroute disrupted traffic the comparative analysis shows the influence of the offered traffic granularity and the physical network structure on the survivability cost for high bandwidth lsps close to the optical channel capacity the multilayer survivability outperforms the single layer one whereas for low bandwidth lsps the single layer survivability is more costefficient on the other hand sparse networks of low connectivity parameter use more wavelengths for optical path routing and increase the configuration cost as compared with dense networks we demonstrate that by mapping efficiently the spare capacity of the mpls layer onto the resources of the optical layer one can achieve up to 22 savings in the total configuration cost and up to 37 in the optical layer cost further savings up to 9 in the wavelength use can be obtained with the integrated approach to network configuration over the sequential one however at the increase in the optimization problem complexity these results are based on a cost model with different cost variations and were obtained for networks targeted to a nationwide coverage | [['in', 'this', 'paper', 'we', 'study', 'different', 'options', 'for', 'the', 'survivability', 'implementation', 'in', 'mpls', 'over', 'optical', 'transport', 'networks', 'otn', 'in', 'terms', 'of', 'network', 'resource', 'usage', 'and', 'configuration', 'cost', 'we', 'investigate', 'two', 'approaches', 'to', 'the', 'survivability', 'deployment', 'single', 'layer', 'and', 'multilayer', 'survivability', 'and', 'present', 'various', 'methods', 'for', 'spare', 'capacity', 'allocation', 'sca', 'to', 'reroute', 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710.4262 | Crowded-Field Astrometry with the Space Interferometry Mission - I.
Estimating the Single-Measurement Astrometric Bias Arising from Confusion | The accuracy of position measurements on stellar targets with the future
Space Interferometry Mission (SIM) will be limited not only by photon noise and
by the properties of the instrument (design, stability, etc.) and the overall
measurement program (observing strategy, reduction methods, etc.), but also by
the presence of other "confusing" stars in the field of view (FOV). We use a
simple "phasor" model as an aid to understanding the main effects of this
"confusion bias" in single observations with SIM. This analytic model has been
implemented numerically in a computer code and applied to a selection of
typical SIM target fields drawn from some of the Key Projects already accepted
for the Mission. We expect that less than 1% of all SIM targets will be
vulnerable to confusion bias; we show that for the present SIM design,
confusion may be a concern if the surface density of field stars exceeds 0.4
star/arcsec^2. We have developed a software tool as an aid to ascertaining the
possible presence of confusion bias in single observations of any arbitrary
field. Some a priori knowledge of the locations and spectral energy
distributions of the few brightest stars in the FOV is helpful in establishing
the possible presence of confusion bias, but the information is in general not
likely to be available with sufficient accuracy to permit its removal. We
discuss several ways of reducing the likelihood of confusion bias in crowded
fields. Finally, several limitations of the present semi-analytic approach are
reviewed, and their effects on the present results are estimated. The simple
model presented here provides a good physical understanding of how confusion
arises in a single SIM observation, and has sufficient precision to establish
the likelihood of a bias in most cases.
| astro-ph | the accuracy of position measurements on stellar targets with the future space interferometry mission sim will be limited not only by photon noise and by the properties of the instrument design stability etc and the overall measurement program observing strategy reduction methods etc but also by the presence of other confusing stars in the field of view fov we use a simple phasor model as an aid to understanding the main effects of this confusion bias in single observations with sim this analytic model has been implemented numerically in a computer code and applied to a selection of typical sim target fields drawn from some of the key projects already accepted for the mission we expect that less than 1 of all sim targets will be vulnerable to confusion bias we show that for the present sim design confusion may be a concern if the surface density of field stars exceeds 04 stararcsec2 we have developed a software tool as an aid to ascertaining the possible presence of confusion bias in single observations of any arbitrary field some a priori knowledge of the locations and spectral energy distributions of the few brightest stars in the fov is helpful in establishing the possible presence of confusion bias but the information is in general not likely to be available with sufficient accuracy to permit its removal we discuss several ways of reducing the likelihood of confusion bias in crowded fields finally several limitations of the present semianalytic approach are reviewed and their effects on the present results are estimated the simple model presented here provides a good physical understanding of how confusion arises in a single sim observation and has sufficient precision to establish the likelihood of a bias in most cases | [['the', 'accuracy', 'of', 'position', 'measurements', 'on', 'stellar', 'targets', 'with', 'the', 'future', 'space', 'interferometry', 'mission', 'sim', 'will', 'be', 'limited', 'not', 'only', 'by', 'photon', 'noise', 'and', 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710.4263 | Silicon in the Quantum Limit: Quantum Computing and Decoherence in
Silicon Architectures | Semiconductor architectures hold promise for quantum information processing
(QIP) applications due to their large industrial base and perceived scalability
potential. Electron spins in silicon in particular may be an excellent
architecture for QIP and also for spin electronics (spintronics) applications.
While the charge of an electron is easily manipulated by charged gates, the
spin degree of freedom is well isolated from charge fluctuations. Inherently
small spin-orbit coupling and the existence of a spin-zero Si isotope
facilitate long single spin qubit coherence times. Here we consider the
relaxation properties of localized electronic states in silicon due to donors,
quantum wells, and quantum dots, including effects due to phonons and Rashba
spin-orbit coupling. Our analysis is impeded by the complicated, many-valley
band structure of silicon and previously unaddressed physics in silicon quantum
wells. We find that electron spins in silicon and especially strained silicon
have excellent decoherence properties. Where possible we compare with
experiment to test our theories. We go beyond issues of coherence in a quantum
computer to problems of control and measurement. Precisely what makes spin
relaxation so long in semiconductor architectures makes spin measurement so
difficult. To address this, we propose a new scheme for spin readout which has
the added benefit of automatic spin initialization, a vital component of
quantum computing and quantum error correction. Our results represent important
practical milestones on the way to the design and construction of a
silicon-based quantum computer.
| cond-mat.mtrl-sci cond-mat.mes-hall | semiconductor architectures hold promise for quantum information processing qip applications due to their large industrial base and perceived scalability potential electron spins in silicon in particular may be an excellent architecture for qip and also for spin electronics spintronics applications while the charge of an electron is easily manipulated by charged gates the spin degree of freedom is well isolated from charge fluctuations inherently small spinorbit coupling and the existence of a spinzero si isotope facilitate long single spin qubit coherence times here we consider the relaxation properties of localized electronic states in silicon due to donors quantum wells and quantum dots including effects due to phonons and rashba spinorbit coupling our analysis is impeded by the complicated manyvalley band structure of silicon and previously unaddressed physics in silicon quantum wells we find that electron spins in silicon and especially strained silicon have excellent decoherence properties where possible we compare with experiment to test our theories we go beyond issues of coherence in a quantum computer to problems of control and measurement precisely what makes spin relaxation so long in semiconductor architectures makes spin measurement so difficult to address this we propose a new scheme for spin readout which has the added benefit of automatic spin initialization a vital component of quantum computing and quantum error correction our results represent important practical milestones on the way to the design and construction of a siliconbased quantum computer | [['semiconductor', 'architectures', 'hold', 'promise', 'for', 'quantum', 'information', 'processing', 'qip', 'applications', 'due', 'to', 'their', 'large', 'industrial', 'base', 'and', 'perceived', 'scalability', 'potential', 'electron', 'spins', 'in', 'silicon', 'in', 'particular', 'may', 'be', 'an', 'excellent', 'architecture', 'for', 'qip', 'and', 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710.4264 | Diophantine approximation, Khintchine's theorem, torus geometry and
Hausdorff dimension | A general form of the Borel-Cantelli Lemma and its connection with the proof
of Khintchine's Theorem on Diophantine approximation and the more general
Khintchine-Groshev theorem are discussed. The torus geometry in the planar case
allows a relatively direct proof of the planar Groshev theorem for the set of
$\psi$-approximable points in the plane. The construction and use of Haudsorff
measure and dimension are explained and the notion of ubiquity, which is
effective in estimating the lower bound of the Hausdorff dimension for quite
general lim sup sets, is described. An application is made to obtain the
Hausdorff dimension of the set of approximable points in the plane when
$\psi(q)=q^{-v}$, $v>0$, corresponding to the planar Jarnik-Besicovich theorem.
| math.NT | a general form of the borelcantelli lemma and its connection with the proof of khintchines theorem on diophantine approximation and the more general khintchinegroshev theorem are discussed the torus geometry in the planar case allows a relatively direct proof of the planar groshev theorem for the set of psiapproximable points in the plane the construction and use of haudsorff measure and dimension are explained and the notion of ubiquity which is effective in estimating the lower bound of the hausdorff dimension for quite general lim sup sets is described an application is made to obtain the hausdorff dimension of the set of approximable points in the plane when psiqqv v0 corresponding to the planar jarnikbesicovich theorem | [['a', 'general', 'form', 'of', 'the', 'borelcantelli', 'lemma', 'and', 'its', 'connection', 'with', 'the', 'proof', 'of', 'khintchines', 'theorem', 'on', 'diophantine', 'approximation', 'and', 'the', 'more', 'general', 'khintchinegroshev', 'theorem', 'are', 'discussed', 'the', 'torus', 'geometry', 'in', 'the', 'planar', 'case', 'allows', 'a', 'relatively', 'direct', 'proof', 'of', 'the', 'planar', 'groshev', 'theorem', 'for', 'the', 'set', 'of', 'psiapproximable', 'points', 'in', 'the', 'plane', 'the', 'construction', 'and', 'use', 'of', 'haudsorff', 'measure', 'and', 'dimension', 'are', 'explained', 'and', 'the', 'notion', 'of', 'ubiquity', 'which', 'is', 'effective', 'in', 'estimating', 'the', 'lower', 'bound', 'of', 'the', 'hausdorff', 'dimension', 'for', 'quite', 'general', 'lim', 'sup', 'sets', 'is', 'described', 'an', 'application', 'is', 'made', 'to', 'obtain', 'the', 'hausdorff', 'dimension', 'of', 'the', 'set', 'of', 'approximable', 'points', 'in', 'the', 'plane', 'when', 'psiqqv', 'v0', 'corresponding', 'to', 'the', 'planar', 'jarnikbesicovich', 'theorem']] | [-0.1515406922085926, 0.0456042030763066, -0.07729187014878594, 0.10162140165318435, -0.047585261786090474, -0.10284298381884582, 0.07357852441990483, 0.26547010511525776, -0.25049288171742645, -0.23251976593175122, 0.1236510136430817, -0.2603643727448538, -0.1218575382538672, 0.2551166957543631, -0.10544457215915568, 0.021784794233618805, 0.005314586170633058, 0.06405929425714671, -0.04927947264929701, -0.2474285381322261, 0.36024121002992615, -0.0344588344035271, 0.25864757961452206, 0.10706598709137845, 0.08339779282271463, 0.04703408560765508, -0.02552834337361024, 0.015712503986183686, -0.16177875770725741, 0.18099093834669994, 0.23686789129195468, 0.1090632098930655, 0.21777942762543848, -0.34546737837497077, -0.12983341307777405, 0.13668589186272584, 0.09361544180345456, 0.06402725915852768, 0.012900470936204198, -0.2778440844329972, 0.10649485099461994, -0.0915956693767969, -0.25378766166561817, -0.05012455099495128, 0.06083768979546481, -0.0027299550004369977, -0.2629778466653079, 0.04385598822799303, 0.18140443829179276, 0.08216215248519022, -0.03649759395037628, -0.09132462462730473, -0.01845969456605547, 0.07563774105204045, 0.0049717816478473, 0.07698808448289388, 0.06755270299202364, -0.06639179476353872, -0.0982254388592472, 0.38094512509997003, -0.03147799299248228, -0.23827695032481902, 0.1854888983154004, -0.16867361596086994, -0.133541946515574, 0.09181077833220895, 0.1370166284447935, 0.14365307866579055, -0.0783210900414945, 0.19434304112714276, -0.1182248705341148, 0.09250282905330616, 0.14882306890961314, 0.04314515487255578, 0.0967034331510409, 0.12757590943406935, 0.14430327642808802, 0.15761166908902982, -0.04414647477720531, -0.08904978333989025, -0.3241804145841992, -0.1454551052725687, -0.22993059950905653, 0.08917048475372472, -0.16474666894139642, -0.21008079488612047, 0.3344896707213983, 0.0658559818402864, 0.18467085758623267, 0.11464384900292705, 0.26090752278521123, 0.16141369548677176, -0.0145337049813991, 0.08388224087164937, 0.21611633113518888, 0.22870617258428996, 0.021038877781912952, -0.09862595097677383, 0.012281723416111032, 0.19652370857615356] |
710.4265 | Searches for Higgs and BSM at the Tevatron | This paper presents an overview of recent experimental direct searches for
Higgs-boson and beyond-the-standard-model (BSM) physics shown in the plenary
session at the SUSY07 conference. The results reported correspond to an
integrated luminosity of up to 2 fb-1 of Run II data from $p\bar{p}$ collisions
collected by the CDF and D0 experiments at the Fermilab Tevatron Collider.
Searches covered include: the standard model (SM) Higgs boson (including
sensitivity projections), the minimal supersymmetric extension of the standard
model (MSSM), charged Higgs bosons and extended Higgs models, supersymmetric
decays that conserve R-parity, gauge-mediated supersymmetric breaking models,
long-lived particles, leptoquarks, extra gauge bosons, extra dimensions, and
finally signature-based searches. Given the excellent performance of the
collider and the continued productivity of the experiments, the Tevatron
physics potential looks very promising for discovery in the coming larger data
sets. In particular, the Higgs boson could be observed if its mass is light or
near 160 GeV.
| hep-ex | this paper presents an overview of recent experimental direct searches for higgsboson and beyondthestandardmodel bsm physics shown in the plenary session at the susy07 conference the results reported correspond to an integrated luminosity of up to 2 fb1 of run ii data from pbarp collisions collected by the cdf and d0 experiments at the fermilab tevatron collider searches covered include the standard model sm higgs boson including sensitivity projections the minimal supersymmetric extension of the standard model mssm charged higgs bosons and extended higgs models supersymmetric decays that conserve rparity gaugemediated supersymmetric breaking models longlived particles leptoquarks extra gauge bosons extra dimensions and finally signaturebased searches given the excellent performance of the collider and the continued productivity of the experiments the tevatron physics potential looks very promising for discovery in the coming larger data sets in particular the higgs boson could be observed if its mass is light or near 160 gev | [['this', 'paper', 'presents', 'an', 'overview', 'of', 'recent', 'experimental', 'direct', 'searches', 'for', 'higgsboson', 'and', 'beyondthestandardmodel', 'bsm', 'physics', 'shown', 'in', 'the', 'plenary', 'session', 'at', 'the', 'susy07', 'conference', 'the', 'results', 'reported', 'correspond', 'to', 'an', 'integrated', 'luminosity', 'of', 'up', 'to', '2', 'fb1', 'of', 'run', 'ii', 'data', 'from', 'pbarp', 'collisions', 'collected', 'by', 'the', 'cdf', 'and', 'd0', 'experiments', 'at', 'the', 'fermilab', 'tevatron', 'collider', 'searches', 'covered', 'include', 'the', 'standard', 'model', 'sm', 'higgs', 'boson', 'including', 'sensitivity', 'projections', 'the', 'minimal', 'supersymmetric', 'extension', 'of', 'the', 'standard', 'model', 'mssm', 'charged', 'higgs', 'bosons', 'and', 'extended', 'higgs', 'models', 'supersymmetric', 'decays', 'that', 'conserve', 'rparity', 'gaugemediated', 'supersymmetric', 'breaking', 'models', 'longlived', 'particles', 'leptoquarks', 'extra', 'gauge', 'bosons', 'extra', 'dimensions', 'and', 'finally', 'signaturebased', 'searches', 'given', 'the', 'excellent', 'performance', 'of', 'the', 'collider', 'and', 'the', 'continued', 'productivity', 'of', 'the', 'experiments', 'the', 'tevatron', 'physics', 'potential', 'looks', 'very', 'promising', 'for', 'discovery', 'in', 'the', 'coming', 'larger', 'data', 'sets', 'in', 'particular', 'the', 'higgs', 'boson', 'could', 'be', 'observed', 'if', 'its', 'mass', 'is', 'light', 'or', 'near', '160', 'gev']] | [-0.03379432545028109, 0.23411982393201397, -0.03368880635509822, 0.18695392582483825, -0.10437673486966566, -0.22556787451408458, -0.012360973289768006, 0.2822277886756011, -0.16437934509891744, -0.3198651210065709, 0.03420909680349025, -0.3624217141487494, 0.03312650100722761, 0.14502293134990166, 0.05872686946184825, 0.13652389814933788, 0.15284556581173092, -0.03058275239332425, -0.04509743275768463, -0.3281513308059264, 0.2035125221175123, 0.09122964489699298, 0.20116189147950156, 0.10460756782639698, 0.05085968248860676, 0.02523699599712939, -0.07592512454085101, -0.13031670228201922, -0.1131676246510107, 0.10969458098715289, 0.23233329785729656, 0.13947727367133889, 0.08001841439415287, -0.36144361863936614, -0.09069040185148945, 0.20982403269296648, 0.16487467739829756, 0.07136762600595638, -0.13692021961724818, -0.3903414341590262, 0.08864102909181094, -0.25454374511621347, -0.11302124671036662, -0.012519544659688181, -0.042280320031876796, -0.1440697475814489, -0.32402395220189695, 0.05691529926843941, -0.07745244422162705, 0.0989695331143425, 0.015917100834919276, -0.20761695269199198, -0.08970789622441427, -0.09673176846306598, 0.17960165189085714, 0.027638825895542292, 0.19815855664478627, -0.22788382385046352, -0.2985880446361242, 0.3744916361725784, -0.09253514446634244, -0.11695598211025338, 0.24739633189415597, -0.18229415782400413, -0.1470268338613963, 0.13276375483086222, 0.28513140282254446, 0.014681753495843797, -0.21456605026387418, 0.26127237180634927, -0.042468309531987505, 0.16748966464760484, 0.05594645044920559, 0.0625805540953991, 0.284747743536564, 0.25715275615644917, 0.017948199751237962, 0.0369962741264654, -0.08557709007653476, -0.06270595720740936, -0.5204358172436424, -0.12801730565476965, -0.05346652969027197, 0.009553436495191017, -0.01908899565230799, -0.035498346264330696, 0.40147005282465786, 0.1462064468092131, 0.2517918727625877, 0.018917569539059473, 0.2570288265000609, 0.04399888077288225, 0.0970821621359807, 0.020730325567269302, 0.3492772918447408, 0.08633702307698989, 0.19712483650998563, -0.19832488653613933, -0.06017023189623982, 0.06733336430413044] |
710.4266 | Expansions for the Bollobas-Riordan polynomial of separable ribbon
graphs | We define 2-decompositions of ribbon graphs, which generalise 2-sums and
tensor products of graphs. We give formulae for the Bollobas-Riordan polynomial
of such a 2-decomposition, and derive the classical Brylawski formula for the
Tutte polynomial of a tensor product as a (very) special case. This study was
initially motivated from knot theory, and we include an application of our
formulae to mutation in knot diagrams.
| math.CO | we define 2decompositions of ribbon graphs which generalise 2sums and tensor products of graphs we give formulae for the bollobasriordan polynomial of such a 2decomposition and derive the classical brylawski formula for the tutte polynomial of a tensor product as a very special case this study was initially motivated from knot theory and we include an application of our formulae to mutation in knot diagrams | [['we', 'define', '2decompositions', 'of', 'ribbon', 'graphs', 'which', 'generalise', '2sums', 'and', 'tensor', 'products', 'of', 'graphs', 'we', 'give', 'formulae', 'for', 'the', 'bollobasriordan', 'polynomial', 'of', 'such', 'a', '2decomposition', 'and', 'derive', 'the', 'classical', 'brylawski', 'formula', 'for', 'the', 'tutte', 'polynomial', 'of', 'a', 'tensor', 'product', 'as', 'a', 'very', 'special', 'case', 'this', 'study', 'was', 'initially', 'motivated', 'from', 'knot', 'theory', 'and', 'we', 'include', 'an', 'application', 'of', 'our', 'formulae', 'to', 'mutation', 'in', 'knot', 'diagrams']] | [-0.1423928454387351, 0.06241116339469954, -0.10073567667859606, 0.09600366584163567, -0.10145939711946994, -0.12223776391329011, 0.015427805532226557, 0.3227408316161018, -0.28114798178648925, -0.2674520415166626, 0.10774301144556375, -0.19106351331356564, -0.23993100921506993, 0.19734268384127063, -0.1038020997584681, -0.024564140854636207, 0.06179207174500334, 0.0681552612586529, -0.07354883298103232, -0.24157911707879975, 0.3322132702887757, -0.00028571230359375477, 0.14103526409599, 0.11361943230440374, 0.08068166240991559, 0.04560399085312383, -0.07617136718909023, 0.03183798024474527, -0.21410096535691991, 0.11699646443594247, 0.26892964768921956, 0.13634064896177733, 0.1189606830739649, -0.3958685090765357, -0.085106791848375, 0.1581248879811028, 0.12223435739724664, 0.10719812190473021, 0.024404616095125675, -0.23750683758044033, 0.04705056796956342, -0.25161447737627896, -0.14276209981471766, -0.07732165822380921, 0.05876119477034081, 0.035009451497899136, -0.25805339196813293, 0.013142557414539624, 0.09721967803488951, 0.09615578972443473, -0.012129181988711935, -0.14512033428036375, 0.03724552918356494, 0.11958870680973632, -0.0027571166574489325, 0.015751719580293866, 0.04476062551839277, -0.15745225655700779, -0.18412880708638113, 0.35793156335057574, -0.06725342184654437, -0.1889512038906105, 0.11549240571912378, -0.1235900075698737, -0.21893506755441194, 0.0760333812013414, 0.10936075454810634, 0.1862728658670676, -0.07500871999945957, 0.12832792194694775, -0.12796289075049572, 0.02389647046220489, 0.13797673730005044, -0.03167285276140319, 0.09790615056772367, 0.027204335783608258, 0.050317290846578544, 0.3145787110552192, 0.020079506226466037, -0.0732119831664022, -0.3108774858919787, -0.24895951223152224, -0.16936602932037204, 0.08889705271212733, -0.17938670125226963, -0.24991449614935846, 0.410670420184033, 0.059423428046102345, 0.1726549544723639, 0.18247826284095936, 0.20783711393232807, 0.11303212019993225, 0.07028844442538684, 0.06103251843887847, 0.12868994863674743, 0.2680278252082644, 0.05349141532997237, -0.088624705971597, 0.041454707588854944, 0.21261675165442284] |
710.4267 | Topics on String Phenomenology | These lectures present some topics of string phenomenology and contain two
parts. In the first part, I review the possibility of lowering the string scale
in the TeV region, that provides a theoretical framework for solving the mass
hierarchy problem and unifying all interactions. The apparent weakness of
gravity can then be accounted by the existence of large internal dimensions, in
the submillimeter region, and transverse to a braneworld where our universe
must be confined. I review the main properties of this scenario and its
implications for observations at both particle colliders, and in
non-accelerator gravity experiments. In the second part, I discuss a simple
framework of toroidal string models with magnetized branes, that offers an
interesting self-consistent setup for string phenomenology. I will present an
algorithm for fixing the geometric parameters of the compactification, build
calculable particle physics models such as a supersymmetric SU(5) Grand Unified
Theory with three generations of quarks and leptons, and implement low energy
supersymmetry breaking with gauge mediation that can be studied directly at the
string level.
| hep-th gr-qc hep-ph | these lectures present some topics of string phenomenology and contain two parts in the first part i review the possibility of lowering the string scale in the tev region that provides a theoretical framework for solving the mass hierarchy problem and unifying all interactions the apparent weakness of gravity can then be accounted by the existence of large internal dimensions in the submillimeter region and transverse to a braneworld where our universe must be confined i review the main properties of this scenario and its implications for observations at both particle colliders and in nonaccelerator gravity experiments in the second part i discuss a simple framework of toroidal string models with magnetized branes that offers an interesting selfconsistent setup for string phenomenology i will present an algorithm for fixing the geometric parameters of the compactification build calculable particle physics models such as a supersymmetric su5 grand unified theory with three generations of quarks and leptons and implement low energy supersymmetry breaking with gauge mediation that can be studied directly at the string level | [['these', 'lectures', 'present', 'some', 'topics', 'of', 'string', 'phenomenology', 'and', 'contain', 'two', 'parts', 'in', 'the', 'first', 'part', 'i', 'review', 'the', 'possibility', 'of', 'lowering', 'the', 'string', 'scale', 'in', 'the', 'tev', 'region', 'that', 'provides', 'a', 'theoretical', 'framework', 'for', 'solving', 'the', 'mass', 'hierarchy', 'problem', 'and', 'unifying', 'all', 'interactions', 'the', 'apparent', 'weakness', 'of', 'gravity', 'can', 'then', 'be', 'accounted', 'by', 'the', 'existence', 'of', 'large', 'internal', 'dimensions', 'in', 'the', 'submillimeter', 'region', 'and', 'transverse', 'to', 'a', 'braneworld', 'where', 'our', 'universe', 'must', 'be', 'confined', 'i', 'review', 'the', 'main', 'properties', 'of', 'this', 'scenario', 'and', 'its', 'implications', 'for', 'observations', 'at', 'both', 'particle', 'colliders', 'and', 'in', 'nonaccelerator', 'gravity', 'experiments', 'in', 'the', 'second', 'part', 'i', 'discuss', 'a', 'simple', 'framework', 'of', 'toroidal', 'string', 'models', 'with', 'magnetized', 'branes', 'that', 'offers', 'an', 'interesting', 'selfconsistent', 'setup', 'for', 'string', 'phenomenology', 'i', 'will', 'present', 'an', 'algorithm', 'for', 'fixing', 'the', 'geometric', 'parameters', 'of', 'the', 'compactification', 'build', 'calculable', 'particle', 'physics', 'models', 'such', 'as', 'a', 'supersymmetric', 'su5', 'grand', 'unified', 'theory', 'with', 'three', 'generations', 'of', 'quarks', 'and', 'leptons', 'and', 'implement', 'low', 'energy', 'supersymmetry', 'breaking', 'with', 'gauge', 'mediation', 'that', 'can', 'be', 'studied', 'directly', 'at', 'the', 'string', 'level']] | [-0.09402428297433636, 0.19439375184821583, -0.0725898004175336, 0.13496866424075418, -0.09606531887002978, -0.15449680690653622, -0.022258660328746745, 0.3076258014222725, -0.20891065416437699, -0.32836799129622996, 0.07917358266321586, -0.23251401776221792, -0.090327001989663, 0.12112715504484822, -0.015738331260243054, -0.014964189203092667, 0.01974042551322824, -0.022008518117743764, -0.051678661865349106, -0.23596261137547347, 0.3291238730644129, 0.06515563778428501, 0.22219891424796873, 0.08680324805456327, 0.09962520994464033, -0.048310493079358655, -0.01421441551502471, 0.0055171318777508475, -0.13533121335647047, 0.10702080507372436, 0.24293013179401035, 0.12219010284130133, 0.1771540466636807, -0.45029472446639757, -0.2151058073032101, 0.07344653650127739, 0.1605855687548315, 0.12996144375543114, -0.08303268353933889, -0.2583357521758086, 0.06426437950633854, -0.19168894822746946, -0.1490125834593291, -0.057158423582969416, -0.0016281133049269978, -0.07110547976409531, -0.23769469222193854, 0.054358620203310094, 0.006685127111184115, 0.026269586256172272, -0.04607014257172822, -0.10754352577859698, -0.0014829250615133198, 0.05012580061417525, 0.12701893707123624, 0.030306926719350417, 0.12111181117098972, -0.19391998676098668, -0.16548159022511366, 0.4120490168129778, -0.06808698535331584, -0.17261392243927873, 0.17343566761852774, -0.13152611339087947, -0.21187187920962433, 0.07071103053732716, 0.1591070406461899, 0.11950325022984533, -0.1604687415838586, 0.17432882307306594, -0.027533150983252968, 0.13482239375138558, 0.034256516873696546, 0.059424576247272466, 0.33263741956345433, 0.21156282509230293, -0.0009390623685553929, 0.09096003364505127, -0.06937624200925532, -0.10298970698061362, -0.44885658898600783, -0.11781756562380001, -0.10476222421235076, 0.01527758710883084, -0.10338749045264205, -0.1087817100530781, 0.4118695601207242, 0.15190793857290652, 0.20356524786292818, 0.03345975605501777, 0.25971902246086326, 0.05967841784852002, 0.04945364903733995, 0.056050851833441356, 0.2529621157713431, 0.09912724597137314, 0.10005280469487707, -0.2127334017542425, -0.07717908045137031, 0.10984546095021795] |
710.4268 | Finite Field Experiments (with an Appendix by Stefan Wiedmann) | We explain how to use computer experiments over finite fields to gain
heuristic information about the solution set of polynomial equations in
characteristic zero. These are notes of a tutorial I gave at the NATO Advanced
Study Institute on Higher-Dimensional Geometry over Finite Fields in G"ottingen
2007.
| math.AG | we explain how to use computer experiments over finite fields to gain heuristic information about the solution set of polynomial equations in characteristic zero these are notes of a tutorial i gave at the nato advanced study institute on higherdimensional geometry over finite fields in gottingen 2007 | [['we', 'explain', 'how', 'to', 'use', 'computer', 'experiments', 'over', 'finite', 'fields', 'to', 'gain', 'heuristic', 'information', 'about', 'the', 'solution', 'set', 'of', 'polynomial', 'equations', 'in', 'characteristic', 'zero', 'these', 'are', 'notes', 'of', 'a', 'tutorial', 'i', 'gave', 'at', 'the', 'nato', 'advanced', 'study', 'institute', 'on', 'higherdimensional', 'geometry', 'over', 'finite', 'fields', 'in', 'gottingen', '2007']] | [-0.08453653422877827, 0.07452221841432471, -0.14136647774857727, 0.05115053844340938, -0.14648540211009217, -0.12300892615135997, -0.02838758866679161, 0.31834758584328154, -0.23448468146330498, -0.30439680258921803, 0.13787992714230526, -0.26681303412237384, -0.16026038042408355, 0.24593713823111452, -0.09738201047591072, -0.023152018064989687, 0.04053334673826999, 0.035968474429497056, -0.07355510611879698, -0.37980106239147643, 0.2952248717687945, 0.06855097436841498, 0.27653634619522605, 0.05965482426728023, 0.15927970578319373, -0.0008175687547376815, -0.07191761198671574, 0.010661221287669019, -0.19013754914494904, 0.0988604456899648, 0.3624800172971284, 0.174724203385809, 0.30617724186641737, -0.4762485669331348, -0.15529629786280877, 0.04706909981100483, 0.07640452586867391, 0.1247313512350492, -0.012682393562306273, -0.2682076659093195, 0.09764688733489589, -0.1581723125294802, -0.11824583825952512, -0.06559271286142633, 0.013563176498134086, 0.03311306729100327, -0.17133413837786685, -0.021650253344287582, 0.046353133390360374, 0.23249842771428061, -0.034518336173781056, -0.13616803062564514, 0.10617017590916379, 0.07558068547873421, -0.02212397180041893, 0.02045032106825408, 0.06859782244019369, -0.1025197987662668, -0.14875932643190026, 0.308689777739346, -0.0786450114051633, -0.14783109246971124, 0.17509880984955012, -0.1574663795788396, -0.09192292272370864, 0.12214352535282044, 0.27331881032899974, 0.09904693249375263, -0.10652085038972028, 0.1457834403486328, -0.04742638917269552, 0.13940788864930895, 0.13280408441564662, -0.02145328505479909, 0.20310626422708972, 0.07456533262070189, 0.015626344076813535, 0.08386737454999635, -0.0006118637281767232, -0.17066382898136656, -0.3505432218947309, -0.14792472050782848, -0.14498123605834676, 0.101121034750596, -0.011904269248801978, -0.1355562418689357, 0.4142125128431523, 0.17561349328211012, 0.10891566287845056, -0.0012652588453381619, 0.2214906919212576, 0.06871670890541282, 0.005678182943387234, 0.06221023947991272, 0.1388000883558329, 0.17577572715310183, 0.17617278441568798, -0.14474150082690918, -0.04496474361958656, 0.1185970371291834] |
710.4269 | Shape, size and robustness: feasible regions in the parameter space of
biochemical networks | The concept of robustness of regulatory networks has been closely related to
the nature of the interactions among genes, and the capability of pattern
maintenance or reproducibility. Defining this robustness property is a
challenging task, but mathematical models have often associated it to the
volume of the space of admissible parameters. Not only the volume of the space
but also its topology and geometry contain information on essential aspects of
the network, including feasible pathways, switching between two parallel
pathways or distinct/disconnected active regions of parameters. A general
method is presented here to characterize the space of admissible parameters, by
writing it as a semi-algebraic set, and then theoretically analyzing its
topology and geometry, as well as volume. This method provides a more objective
and complete measure of the robustness of a developmental module. As an
illustration, the segment polarity gene network is analyzed.
| q-bio.MN | the concept of robustness of regulatory networks has been closely related to the nature of the interactions among genes and the capability of pattern maintenance or reproducibility defining this robustness property is a challenging task but mathematical models have often associated it to the volume of the space of admissible parameters not only the volume of the space but also its topology and geometry contain information on essential aspects of the network including feasible pathways switching between two parallel pathways or distinctdisconnected active regions of parameters a general method is presented here to characterize the space of admissible parameters by writing it as a semialgebraic set and then theoretically analyzing its topology and geometry as well as volume this method provides a more objective and complete measure of the robustness of a developmental module as an illustration the segment polarity gene network is analyzed | [['the', 'concept', 'of', 'robustness', 'of', 'regulatory', 'networks', 'has', 'been', 'closely', 'related', 'to', 'the', 'nature', 'of', 'the', 'interactions', 'among', 'genes', 'and', 'the', 'capability', 'of', 'pattern', 'maintenance', 'or', 'reproducibility', 'defining', 'this', 'robustness', 'property', 'is', 'a', 'challenging', 'task', 'but', 'mathematical', 'models', 'have', 'often', 'associated', 'it', 'to', 'the', 'volume', 'of', 'the', 'space', 'of', 'admissible', 'parameters', 'not', 'only', 'the', 'volume', 'of', 'the', 'space', 'but', 'also', 'its', 'topology', 'and', 'geometry', 'contain', 'information', 'on', 'essential', 'aspects', 'of', 'the', 'network', 'including', 'feasible', 'pathways', 'switching', 'between', 'two', 'parallel', 'pathways', 'or', 'distinctdisconnected', 'active', 'regions', 'of', 'parameters', 'a', 'general', 'method', 'is', 'presented', 'here', 'to', 'characterize', 'the', 'space', 'of', 'admissible', 'parameters', 'by', 'writing', 'it', 'as', 'a', 'semialgebraic', 'set', 'and', 'then', 'theoretically', 'analyzing', 'its', 'topology', 'and', 'geometry', 'as', 'well', 'as', 'volume', 'this', 'method', 'provides', 'a', 'more', 'objective', 'and', 'complete', 'measure', 'of', 'the', 'robustness', 'of', 'a', 'developmental', 'module', 'as', 'an', 'illustration', 'the', 'segment', 'polarity', 'gene', 'network', 'is', 'analyzed']] | [-0.12219140459083255, 0.05458578782351899, -0.04350256149026555, 0.07980711813576494, -0.0918737667241505, -0.09895023859555384, 0.06165532265965651, 0.3768745853884758, -0.2878844554021538, -0.3063705487346107, 0.11721899758672694, -0.21292113421901643, -0.22291699123171554, 0.19711797443785137, -0.07793394937603311, 0.042823494870339394, 0.05660356099919214, 0.07172132371371234, -0.010303349922886574, -0.22703037419522482, 0.33140698892806847, 0.07669523646859648, 0.30977998432293014, 0.05344657850829507, 0.13260122359619586, -0.0398526734027725, -0.039731665448468, 0.06179832861700968, -0.10603538873585892, 0.15655698608346544, 0.268468191822299, 0.2050453136020529, 0.2868507564315325, -0.3915301703203183, -0.21479448532421871, 0.12076781688818147, 0.10186387660141409, 0.07767940614815358, 0.00023622101633174515, -0.2722887282057867, 0.07225749350211524, -0.12389018430237796, -0.11092528537358645, -0.11140190389974472, 0.04963704085277094, 0.021886368510085387, -0.2291102124788388, 0.0352246056559538, 0.06591267819057212, 0.07115135795169777, -0.042626345018901814, -0.06679196529321607, -0.07936502281263784, 0.18136197161189951, 0.03106381814239768, 0.03481938253186148, 0.14044088837723215, -0.13514450599660877, -0.1225739254109835, 0.37065204045364075, 0.03489985845826723, -0.25574250871940823, 0.21409667589395612, -0.08361903204129996, -0.11156305038350654, 0.11990271011771231, 0.17026309733819608, 0.1119044413285369, -0.17316947327080098, 0.0755532207500704, -0.011811405557070996, 0.14859289200520598, 0.04594818350917601, 0.0644891028055576, 0.1734529001625268, 0.23420105398456742, 0.08143793762713619, 0.14865822136162787, -0.07565211914553001, -0.09949513170477393, -0.2792129398264981, -0.16033851037573696, -0.17402008238372269, -0.0015739843075715618, -0.07957152377150975, -0.20765879075205723, 0.4468541375517689, 0.10548238408706197, 0.21185696516202282, 0.02024721522926242, 0.3078880161502874, 0.029103531543807765, 0.07543223131842051, 0.023572325813535185, 0.19027734682016023, 0.13332228346441227, 0.0784579721520414, -0.21760749397473736, 0.14522824736175263, 0.03978329856059403] |
710.427 | Spin-c Prequantization and Symplectic Cutting | We define spin-c prequantization of a symplectic manifold to be a spin-c
structure and a connection which are compatible with the symplectic form. We
describe the cutting of an S^1-equivariant spin-c prequantization. The cutting
process involves a choice of a spin-c prequantization for the complex plane. We
prove that the cutting is possible if and only if the moment map level set
along which the cutting is done is compatible with this choice.
| math.DG math.SG | we define spinc prequantization of a symplectic manifold to be a spinc structure and a connection which are compatible with the symplectic form we describe the cutting of an s1equivariant spinc prequantization the cutting process involves a choice of a spinc prequantization for the complex plane we prove that the cutting is possible if and only if the moment map level set along which the cutting is done is compatible with this choice | [['we', 'define', 'spinc', 'prequantization', 'of', 'a', 'symplectic', 'manifold', 'to', 'be', 'a', 'spinc', 'structure', 'and', 'a', 'connection', 'which', 'are', 'compatible', 'with', 'the', 'symplectic', 'form', 'we', 'describe', 'the', 'cutting', 'of', 'an', 's1equivariant', 'spinc', 'prequantization', 'the', 'cutting', 'process', 'involves', 'a', 'choice', 'of', 'a', 'spinc', 'prequantization', 'for', 'the', 'complex', 'plane', 'we', 'prove', 'that', 'the', 'cutting', 'is', 'possible', 'if', 'and', 'only', 'if', 'the', 'moment', 'map', 'level', 'set', 'along', 'which', 'the', 'cutting', 'is', 'done', 'is', 'compatible', 'with', 'this', 'choice']] | [-0.21200724017538436, 0.05734315967009473, -0.0913635506358457, 0.07721568011987834, -0.17463295355643313, -0.12224395779178363, 0.030727040945163174, 0.4091671651152715, -0.3178022639085985, -0.21716459871154942, 0.0907493212247548, -0.2099432672743928, -0.18373116146620005, 0.15310933160251133, -0.12813094990608626, -0.02775781294203376, 0.10082650193721311, 0.091995282500523, -0.10736139689983595, -0.2037189312961769, 0.4886518420830165, 0.03506036106599112, 0.22384555262755856, 0.07503267309998404, 0.18130613614690222, 0.03033089763421106, -0.0005828017904742123, -0.001807987536877802, -0.1360911079145185, 0.15958078629783776, 0.21612038317914695, 0.04210979826684582, 0.14332159747981965, -0.3884632545331978, -0.10435592158289295, 0.15496525350856047, 0.07278890121881276, 0.0006188477472440429, -0.004683811641744759, -0.2528009936085915, 0.10949592951251423, -0.09348699828125026, -0.1897401651303756, -0.11004394063190238, -0.013211213154335544, -0.0395587459461738, -0.2225043571160226, -0.05987262382644088, 0.09124957040360529, 0.08009568296934236, -0.02888957168013878, -0.044509933661822584, -0.11159097526720023, 0.08875620571181994, -0.03141779158852854, 0.12912811312309389, 0.12645234158007454, -0.05914151435398994, -0.1289655197960363, 0.37826524256435157, -0.03144595284678348, -0.34286475503077246, 0.0676521827300934, -0.10557301493029889, -0.22662471144855634, 0.15767223867651534, 0.023912884652206343, 0.12740607925193154, -0.09173250644330624, 0.16190678732029531, -0.08914251627929969, 0.09193664819818653, 0.11121183908416903, -0.0919088751320051, 0.212673171308555, 0.16138253403725486, 0.18656214181180686, 0.11425363856578272, -0.04321609782565334, -0.12346388663768079, -0.3342514308807376, -0.27962362847916067, -0.1071541396413024, 0.20158459883731827, -0.09951108355953818, -0.20463156391394466, 0.3986849430533866, 0.015674578332125325, 0.24687382247145861, 0.08519101190406268, 0.25294482016183234, 0.1339667817461703, 0.0839541249410951, 0.05968052329342455, 0.1538826969311866, 0.19379056550001036, 0.0077251886999974515, -0.1289063730318584, -0.02678103681832348, 0.1166636283853895] |
710.4271 | Asymptotics of the quantum Hamming bound for subsystem codes | Ashikhmin and Litsyn showed that all binary stabilizer codes - pure or impure
- of sufficiently large length obey the quantum Hamming bound, ruling out the
possibility that impure codes of large length can outperform pure codes with
respect to sphere packing. In contrast we show that impure subsystem codes do
not obey the quantum Hamming bound for pure subsystem codes, not even
asymptotically. We show that there exist arbitrarily long Bacon-Shor codes that
violate the quantum Hamming bound.
| quant-ph | ashikhmin and litsyn showed that all binary stabilizer codes pure or impure of sufficiently large length obey the quantum hamming bound ruling out the possibility that impure codes of large length can outperform pure codes with respect to sphere packing in contrast we show that impure subsystem codes do not obey the quantum hamming bound for pure subsystem codes not even asymptotically we show that there exist arbitrarily long baconshor codes that violate the quantum hamming bound | [['ashikhmin', 'and', 'litsyn', 'showed', 'that', 'all', 'binary', 'stabilizer', 'codes', 'pure', 'or', 'impure', 'of', 'sufficiently', 'large', 'length', 'obey', 'the', 'quantum', 'hamming', 'bound', 'ruling', 'out', 'the', 'possibility', 'that', 'impure', 'codes', 'of', 'large', 'length', 'can', 'outperform', 'pure', 'codes', 'with', 'respect', 'to', 'sphere', 'packing', 'in', 'contrast', 'we', 'show', 'that', 'impure', 'subsystem', 'codes', 'do', 'not', 'obey', 'the', 'quantum', 'hamming', 'bound', 'for', 'pure', 'subsystem', 'codes', 'not', 'even', 'asymptotically', 'we', 'show', 'that', 'there', 'exist', 'arbitrarily', 'long', 'baconshor', 'codes', 'that', 'violate', 'the', 'quantum', 'hamming', 'bound']] | [-0.17582592666874847, 0.22969220374263338, -0.06826367327798304, 0.136526978363029, 0.04830253381257901, -0.3402992341086849, 0.04622901364398951, 0.3501755485867525, -0.2651062398399045, -0.23976661687998052, 0.0711652056129601, -0.28419495209470974, -0.12862266386351126, 0.19182516698417096, -0.07311062433215633, 0.13928965635162283, 0.13694687150176857, 0.04278091314647879, -0.16472680180321458, -0.36920950825435, 0.2911907480062022, 0.11411226406699507, 0.2936006298337083, 0.018151600730254666, 0.03364065023405211, 0.024213187057863583, 0.06174793945286761, 0.05183997830109937, -0.18902733518567025, 0.020938407339445957, 0.2822750951949652, 0.15690019511460485, 0.12396049078602295, -0.380255819794226, -0.2093905196706583, 0.1603360583812192, 0.11173135766686944, 0.2181879947711895, 0.0018791965475039823, -0.15033181145478813, 0.15813642749320958, -0.20980153139680624, -0.02071246225386858, -0.07750494689257308, 0.008077495344370217, -0.027423507400921414, -0.21508225493205638, 0.030101476755755193, 0.17821034815694606, 0.009577047636176084, -0.02796633167845475, -0.15771972540729715, 0.026771244544584256, 0.10357055415447752, -0.06110340787412284, 0.04050342343118671, 0.060268340378322384, -0.03124136575603519, -0.14358635730557628, 0.3295933309724772, -0.0690088216941078, -0.24452775255958367, 0.15948407223913819, -0.12038692106589578, -0.12303093564394232, 0.11089591135258799, 0.1372880595917632, 0.09194910372667886, -0.0069025316874363595, 0.14974941356733515, -0.1297066258871323, 0.26975303777046017, 0.16306974750931386, 0.21053425375033508, 0.20391895077735572, -0.06263670243032567, 0.07574525203664678, 0.1830555197371581, -0.04406730197491003, -0.15194769322194837, -0.2865041850570154, -0.1421007224980004, -0.26091353843659887, 0.10435528651086988, -0.11480346923167122, -0.22971803165198146, 0.22912531214246115, 0.09986143894856434, 0.08523106395135416, 0.13165601192937268, 0.14281270880397265, -0.02386736185229444, 0.16948403863768494, 0.2807008360645601, 0.22287669784522482, 0.14622051024797383, -0.10825853127163726, -0.23788079099847584, 0.07912070506143493, 0.06303671165067073] |
710.4272 | An approximation trichotomy for Boolean #CSP | We give a trichotomy theorem for the complexity of approximately counting the
number of satisfying assignments of a Boolean CSP instance. Such problems are
parameterised by a constraint language specifying the relations that may be
used in constraints. If every relation in the constraint language is affine
then the number of satisfying assignments can be exactly counted in polynomial
time. Otherwise, if every relation in the constraint language is in the
co-clone IM_2 from Post's lattice, then the problem of counting satisfying
assignments is complete with respect to approximation-preserving reductions in
the complexity class #RH\Pi_1. This means that the problem of approximately
counting satisfying assignments of such a CSP instance is equivalent in
complexity to several other known counting problems, including the problem of
approximately counting the number of independent sets in a bipartite graph. For
every other fixed constraint language, the problem is complete for #P with
respect to approximation-preserving reductions, meaning that there is no fully
polynomial randomised approximation scheme for counting satisfying assignments
unless NP=RP.
| cs.CC | we give a trichotomy theorem for the complexity of approximately counting the number of satisfying assignments of a boolean csp instance such problems are parameterised by a constraint language specifying the relations that may be used in constraints if every relation in the constraint language is affine then the number of satisfying assignments can be exactly counted in polynomial time otherwise if every relation in the constraint language is in the coclone im_2 from posts lattice then the problem of counting satisfying assignments is complete with respect to approximationpreserving reductions in the complexity class rhpi_1 this means that the problem of approximately counting satisfying assignments of such a csp instance is equivalent in complexity to several other known counting problems including the problem of approximately counting the number of independent sets in a bipartite graph for every other fixed constraint language the problem is complete for p with respect to approximationpreserving reductions meaning that there is no fully polynomial randomised approximation scheme for counting satisfying assignments unless nprp | [['we', 'give', 'a', 'trichotomy', 'theorem', 'for', 'the', 'complexity', 'of', 'approximately', 'counting', 'the', 'number', 'of', 'satisfying', 'assignments', 'of', 'a', 'boolean', 'csp', 'instance', 'such', 'problems', 'are', 'parameterised', 'by', 'a', 'constraint', 'language', 'specifying', 'the', 'relations', 'that', 'may', 'be', 'used', 'in', 'constraints', 'if', 'every', 'relation', 'in', 'the', 'constraint', 'language', 'is', 'affine', 'then', 'the', 'number', 'of', 'satisfying', 'assignments', 'can', 'be', 'exactly', 'counted', 'in', 'polynomial', 'time', 'otherwise', 'if', 'every', 'relation', 'in', 'the', 'constraint', 'language', 'is', 'in', 'the', 'coclone', 'im_2', 'from', 'posts', 'lattice', 'then', 'the', 'problem', 'of', 'counting', 'satisfying', 'assignments', 'is', 'complete', 'with', 'respect', 'to', 'approximationpreserving', 'reductions', 'in', 'the', 'complexity', 'class', 'rhpi_1', 'this', 'means', 'that', 'the', 'problem', 'of', 'approximately', 'counting', 'satisfying', 'assignments', 'of', 'such', 'a', 'csp', 'instance', 'is', 'equivalent', 'in', 'complexity', 'to', 'several', 'other', 'known', 'counting', 'problems', 'including', 'the', 'problem', 'of', 'approximately', 'counting', 'the', 'number', 'of', 'independent', 'sets', 'in', 'a', 'bipartite', 'graph', 'for', 'every', 'other', 'fixed', 'constraint', 'language', 'the', 'problem', 'is', 'complete', 'for', 'p', 'with', 'respect', 'to', 'approximationpreserving', 'reductions', 'meaning', 'that', 'there', 'is', 'no', 'fully', 'polynomial', 'randomised', 'approximation', 'scheme', 'for', 'counting', 'satisfying', 'assignments', 'unless', 'nprp']] | [-0.13025222144125406, 0.06794523134692965, -0.0469643646985831, 0.09545750567669901, -0.11743951569934073, -0.16928818141648838, 0.08513821038720479, 0.3239139994404402, -0.324532058796879, -0.3690761281100259, 0.08688258267069482, -0.2689630847076425, -0.08574396697243294, 0.19792759873489119, -0.09711512786908502, 0.09717684230172491, 0.05646545193382505, 0.10450020000473204, -0.07002810170419559, -0.30824996545473926, 0.3011087157051023, -0.06077690715536879, 0.21800785989736218, 0.03492742258471897, 0.09309990087899951, 0.03655075231084533, 0.0053155839089753035, 0.09802851291353736, -0.09129300741516495, 0.0694091687138832, 0.3027035495159721, 0.2552803234433098, 0.26596315992794123, -0.38062043524510647, -0.11403707354834461, 0.22604020010660325, 0.10639947165695793, 0.06985156645392437, -0.004732929327222238, -0.18404310320627437, 0.1520701618233965, -0.1070952114469585, -0.06574883181826179, 0.0009990501615880843, 0.06964133194849703, 0.03513038073700056, -0.3071827032822128, 0.014133479401289699, 0.10345982344462032, 0.03434193838410169, -0.046641943635452675, -0.08100243017683367, 0.020536507636937033, 0.06377919022756887, -0.01425587846785335, 0.06050150383667773, 0.007976820074226594, -0.13757739689464804, -0.18547865213456013, 0.4404674455332738, 0.020474966996944094, -0.2877738725124712, 0.10883442989861906, -0.08235636961236821, -0.25147452211590954, 0.13897812570703316, 0.07845467760463257, 0.09799918826916311, -0.11968538324988212, 0.15642679281846947, -0.15076191536801675, 0.191399106194815, 0.13566159014029047, 0.04143136815961832, 0.14263940695673227, 0.14033944115143673, 0.14445776499370225, 0.17101140536791476, 0.05259227361922792, -0.0473515356158703, -0.31928484344361235, -0.11223402428048024, -0.1601178803683135, 0.05101264036451298, -0.10712571961297486, -0.16889543252918554, 0.3534251542850943, 0.09293374685775377, 0.14701601013496338, 0.18500420356348876, 0.2434881898232298, 0.17943711637474416, 0.04302764458985752, 0.08760497040895139, 0.09113644102464867, 0.11939134935887688, 0.0018765321169721793, -0.1872554285723873, 0.09343446846293982, 0.10363952300780599] |
710.4273 | Supergravity and Two-Field Inflation Effects in Right-Handed
Sneutrino-Modified D-term Inflation | We extend previous work on the minimal D-term inflation model modified by
Right-Handed (RH) sneutrino fields to include additional inflaton-sector SUGRA
corrections and two-field inflation effects. We show that SUGRA corrections
simultaneously allow n_{s} to be within 3-year WMAP limits and the cosmic
string contribution to the CMB power spectrum to be less than 5%. For gauge
coupling g < 1, the CMB contribution from cosmic strings is predicted to be at
least 1% while the spectral index is predicted to be less than 0.968 for a CMB
string contribution less than 5%. Treating the inflaton-RH sneutrino system as
a two-field inflation model, we show that the time-dependence of the RH
sneutrino field strongly modifies the single-field results for values of RH
sneutrino mass m_{\Phi} > 0.1 H. The running spectral index is \alpha = -0.0002
when m_{\Phi} < 0.1 H but increases to positive values as m_{\Phi}/H increases,
with \alpha > 0.008 for m_{\Phi} > 1.0 H.
| hep-ph astro-ph hep-th | we extend previous work on the minimal dterm inflation model modified by righthanded rh sneutrino fields to include additional inflatonsector sugra corrections and twofield inflation effects we show that sugra corrections simultaneously allow n_s to be within 3year wmap limits and the cosmic string contribution to the cmb power spectrum to be less than 5 for gauge coupling g 1 the cmb contribution from cosmic strings is predicted to be at least 1 while the spectral index is predicted to be less than 0968 for a cmb string contribution less than 5 treating the inflatonrh sneutrino system as a twofield inflation model we show that the timedependence of the rh sneutrino field strongly modifies the singlefield results for values of rh sneutrino mass m_phi 01 h the running spectral index is alpha 00002 when m_phi 01 h but increases to positive values as m_phih increases with alpha 0008 for m_phi 10 h | [['we', 'extend', 'previous', 'work', 'on', 'the', 'minimal', 'dterm', 'inflation', 'model', 'modified', 'by', 'righthanded', 'rh', 'sneutrino', 'fields', 'to', 'include', 'additional', 'inflatonsector', 'sugra', 'corrections', 'and', 'twofield', 'inflation', 'effects', 'we', 'show', 'that', 'sugra', 'corrections', 'simultaneously', 'allow', 'n_s', 'to', 'be', 'within', '3year', 'wmap', 'limits', 'and', 'the', 'cosmic', 'string', 'contribution', 'to', 'the', 'cmb', 'power', 'spectrum', 'to', 'be', 'less', 'than', '5', 'for', 'gauge', 'coupling', 'g', '1', 'the', 'cmb', 'contribution', 'from', 'cosmic', 'strings', 'is', 'predicted', 'to', 'be', 'at', 'least', '1', 'while', 'the', 'spectral', 'index', 'is', 'predicted', 'to', 'be', 'less', 'than', '0968', 'for', 'a', 'cmb', 'string', 'contribution', 'less', 'than', '5', 'treating', 'the', 'inflatonrh', 'sneutrino', 'system', 'as', 'a', 'twofield', 'inflation', 'model', 'we', 'show', 'that', 'the', 'timedependence', 'of', 'the', 'rh', 'sneutrino', 'field', 'strongly', 'modifies', 'the', 'singlefield', 'results', 'for', 'values', 'of', 'rh', 'sneutrino', 'mass', 'm_phi', '01', 'h', 'the', 'running', 'spectral', 'index', 'is', 'alpha', '00002', 'when', 'm_phi', '01', 'h', 'but', 'increases', 'to', 'positive', 'values', 'as', 'm_phih', 'increases', 'with', 'alpha', '0008', 'for', 'm_phi', '10', 'h']] | [-0.08100789042983529, 0.2644020347080925, -0.0021471417471516452, 0.16161364404368997, -0.0877582707798621, -0.1935357880909871, -0.027563008102205515, 0.3225317956198432, -0.2130432160549341, -0.3657657250874495, 0.04163461330428019, -0.3332255104769196, -0.021110734289774558, 0.1808245132252224, -0.005825675219209903, -0.02746363970018992, 0.006446606220189957, -0.01638192711272996, -0.021064335855361598, -0.2953206284171683, 0.26073935142274474, 0.1343673151861501, 0.15593363218409503, 0.03955799371829169, -0.0158583772675003, -0.0959962718063753, -0.010471169514137776, -0.04148479616081955, -0.1506480557798922, 0.045932179676281326, 0.14559014245317686, 0.08592737430469102, 0.14423952146039512, -0.31544353113503465, -0.23543878603451604, 0.19386054612008619, 0.1404712797898874, 0.05498924997522677, 0.014360872241855917, -0.2248843658477968, 0.1355177822191543, -0.19771836781186747, -0.06835611485923021, -0.02007393829521392, 0.021039287635475246, -0.15607632910434294, -0.3749734872714585, 0.13277092589309203, -0.030307722539678467, -0.018342856799046067, -0.02334150304274021, -0.1807520490994477, -0.088483033195488, -0.028406954327271625, 0.1650843610549533, 0.07076602293750359, 0.17552849741327584, -0.14602696874894627, -0.04111959725530855, 0.3952346810220972, -0.21104547832676462, -0.1293280739993507, 0.04185111167521885, -0.1683957095901738, -0.15896514892435926, 0.11397237186913922, 0.08231502926194316, 0.09910547241393551, -0.07488277986625776, 0.22228630793815315, 0.0638436718762621, 0.24971223458485214, 0.12483764404349729, 0.011085242989329284, 0.2734053014104111, 0.09496770693214247, 0.11358128931848395, 0.0702504252064848, -0.06144321363438046, -0.0010539911821759588, -0.3722185562208495, -0.05242829835792416, -0.13070167194201843, 0.09054735251671116, -0.18972608655509102, -0.1084184524487554, 0.40559818941924797, 0.1558604958473436, 0.2457401870293605, 0.11235046684866984, 0.26383413343796597, 0.09258758642081008, 0.06653794920659506, 0.01881309715255895, 0.3047350439080506, 0.1401863330756408, 0.09802624249312052, -0.21761721670674472, -0.08626328082442683, 0.041483684521068466] |
710.4274 | Large-scale Propagation of Very Light Jets in Galaxy Clusters | We performed MHD simulations of very light bipolar jets with density
contrasts down to 10^-4 in axisymmetry, which were injected into a medium of
constant density and evolved up to 200 kpc (200 r_j) full length. These jets
show weak and roundish bow shocks as well as broad cocoons and thermalize their
kinetic energy very efficiently. We argue that very light jets are necessary to
match low-frequency radio observations of radio lobes as well as the bow shocks
seen in X-rays. Due to the slow propagation, the backflows and their turbulent
interaction in the midplane are important for a realistic global appearance.
| astro-ph | we performed mhd simulations of very light bipolar jets with density contrasts down to 104 in axisymmetry which were injected into a medium of constant density and evolved up to 200 kpc 200 r_j full length these jets show weak and roundish bow shocks as well as broad cocoons and thermalize their kinetic energy very efficiently we argue that very light jets are necessary to match lowfrequency radio observations of radio lobes as well as the bow shocks seen in xrays due to the slow propagation the backflows and their turbulent interaction in the midplane are important for a realistic global appearance | [['we', 'performed', 'mhd', 'simulations', 'of', 'very', 'light', 'bipolar', 'jets', 'with', 'density', 'contrasts', 'down', 'to', '104', 'in', 'axisymmetry', 'which', 'were', 'injected', 'into', 'a', 'medium', 'of', 'constant', 'density', 'and', 'evolved', 'up', 'to', '200', 'kpc', '200', 'r_j', 'full', 'length', 'these', 'jets', 'show', 'weak', 'and', 'roundish', 'bow', 'shocks', 'as', 'well', 'as', 'broad', 'cocoons', 'and', 'thermalize', 'their', 'kinetic', 'energy', 'very', 'efficiently', 'we', 'argue', 'that', 'very', 'light', 'jets', 'are', 'necessary', 'to', 'match', 'lowfrequency', 'radio', 'observations', 'of', 'radio', 'lobes', 'as', 'well', 'as', 'the', 'bow', 'shocks', 'seen', 'in', 'xrays', 'due', 'to', 'the', 'slow', 'propagation', 'the', 'backflows', 'and', 'their', 'turbulent', 'interaction', 'in', 'the', 'midplane', 'are', 'important', 'for', 'a', 'realistic', 'global', 'appearance']] | [-0.10997099859420867, 0.18384119178004124, -0.0455273234764602, 0.16786311182430855, -0.09859014669542804, -0.08335103186796985, -0.01141236110033431, 0.44959764845450134, -0.2540977090944116, -0.3512048450225562, 0.07606696686593305, -0.2338980636102896, 0.011282395133200814, 0.16737307771565577, 0.04070204182861227, 0.0029365155051517136, 0.07279916109937225, -0.1058570469784386, -0.014521945484767795, -0.13744251895239393, 0.2444050070332071, 0.12415816909667816, 0.18065580031743236, 0.046408692977445966, 0.07245047435657505, -0.12991653779275059, -0.023011568673502875, 0.022885888935906776, -0.08635596706631522, -0.0024516572354032714, 0.2053801821979612, 0.07124531545402943, 0.22747994344992514, -0.5058781925369712, -0.25458635113147254, -0.013730687901888992, 0.23249943248525845, 0.046565513495200626, -0.027453716036261004, -0.26668712283101154, 0.09963685083294324, -0.2028746611402169, -0.19342182552916745, 0.006843035063688077, 0.021958855044681067, 0.0859490315128556, -0.233592359906099, 0.14815057272333468, 0.019610092317206555, 0.034479797607762555, -0.060045464320436996, -0.05710285612383136, -0.06255687128149849, 0.05868468914002947, 0.10700809962901414, 0.08901141840261499, 0.20211546359967222, -0.17968826026966175, -0.02382078816812924, 0.4390388580002621, -0.06356256789021085, -0.039357391318452416, 0.31232721801372426, -0.23108100094096323, -0.10245076104925543, 0.239512430631793, 0.20869801123169998, 0.08581804777678176, -0.08009863291711856, -0.06693861138888214, -0.04214391964442078, 0.13485068629276664, 0.07542633820398181, 0.07535852613521046, 0.2870936483217805, 0.09972358753393386, 0.003046945577450827, 0.11461297578666833, -0.18145305219656496, -0.03418536542677412, -0.26356441027019173, -0.057014379131050744, -0.12500735275520414, 0.08679801269945707, -0.11053190220948583, -0.12610450238628568, 0.3514976746119632, 0.12480902722032339, 0.22532338647208378, 0.006913883443784845, 0.32168460283063205, 0.05867318701291201, 0.06946911503031265, 0.21832331062714552, 0.3245566723247369, 0.19781057834145888, 0.16055713484392448, -0.17314260908660442, 0.017269351387250366, -0.02985252865005796] |
710.4275 | Cosmological Unparticle Correlators | We introduce and study an extension of the correlator of unparticle matter
operators in a cosmological environment. Starting from FRW spaces we specialize
to a de Sitter spacetime and derive its inflationary power spectrum which we
find to be almost flat. We finally investigate some consequences of requiring
the existence of a unitary boundary conformal field theory in the framework of
the dS/CFT correspondence.
| hep-th gr-qc hep-ph | we introduce and study an extension of the correlator of unparticle matter operators in a cosmological environment starting from frw spaces we specialize to a de sitter spacetime and derive its inflationary power spectrum which we find to be almost flat we finally investigate some consequences of requiring the existence of a unitary boundary conformal field theory in the framework of the dscft correspondence | [['we', 'introduce', 'and', 'study', 'an', 'extension', 'of', 'the', 'correlator', 'of', 'unparticle', 'matter', 'operators', 'in', 'a', 'cosmological', 'environment', 'starting', 'from', 'frw', 'spaces', 'we', 'specialize', 'to', 'a', 'de', 'sitter', 'spacetime', 'and', 'derive', 'its', 'inflationary', 'power', 'spectrum', 'which', 'we', 'find', 'to', 'be', 'almost', 'flat', 'we', 'finally', 'investigate', 'some', 'consequences', 'of', 'requiring', 'the', 'existence', 'of', 'a', 'unitary', 'boundary', 'conformal', 'field', 'theory', 'in', 'the', 'framework', 'of', 'the', 'dscft', 'correspondence']] | [-0.16724488237377955, 0.09886659204698844, -0.1825985281757312, 0.11462077949363447, -0.09926105584963807, -0.11130719840002712, -0.049242459530432825, 0.3302042813738808, -0.20106234293416492, -0.21476749267276318, 0.08972519725284656, -0.21804735848127166, -0.17002453256282024, 0.11480011831736192, -0.04813523474149406, 0.011553565781468933, -0.036410332715604454, 0.06567434199678246, -0.11607152719807345, -0.21546540368217393, 0.42052418518142076, 0.06697895817342214, 0.21836420418185298, 0.009738283391925506, 0.11215452759643085, -0.00882928395003546, -0.04334455265052384, 0.0027258256159257144, -0.20223693880689098, 0.09796747779182624, 0.21625039930222556, 0.1378254198934883, 0.18820558686275035, -0.40883029896212975, -0.22980914382787887, 0.17478375613427488, 0.11067910353449406, 0.1626954096445843, -0.04934498057627934, -0.3334248710598331, 0.0616671443276573, -0.2091351188973931, -0.17952506510846433, -0.0782974886969896, -0.04088590613355336, -0.11617411743281991, -0.24297601192665752, 0.07052640421170508, 0.016008144564693794, 0.014962119195843115, -0.13107822960773774, 0.009055582602741197, -0.0026839433339773677, 0.08442866239056457, 0.0865641350246733, 0.015972246717865346, 0.12649694181163795, -0.15077222026593518, -0.11900197050272254, 0.3607303324970417, -0.14227855969966186, -0.19932113523827866, 0.13648927195754368, -0.18487438208831009, -0.16024934143206337, 0.005914091452723369, 0.1487473190500168, 0.12518394584185444, -0.13249151421769056, 0.2701989489123662, -0.02186285708557989, 0.11012294408283196, 0.11739641436724924, 0.06499690642522182, 0.2553377830372483, 0.10248080520614167, 0.07957541772339027, 0.1794538557423948, 0.009749148714035982, -0.10380540907044633, -0.4194061820016941, -0.19892400679054845, -0.13005515836994164, 0.10729691059532342, -0.16538528904447958, -0.21753966379037593, 0.40817235261783935, 0.1636683003696362, 0.2045218248749734, 0.09204221442814742, 0.1998986579128541, 0.0771557773987297, -0.021435466049297247, 0.11654916706174845, 0.2509359526834487, 0.16586427464790177, 0.11700392781312985, -0.2026502753542445, -0.14957139601028757, 0.10285555096925236] |
710.4276 | On the Euclidean Version of the Photon Number Integral | We reconsider the Euclidean version of the photon number integral introduced
in ref 1. This integral is well defined for any smooth non-self-intersecting
curve in $\R^N$. Besides studying general features of this integral (including
it s conformal invariance), we evaluate it explicitly for the ellipse. The
result is $n_{ellipse}=(\xi^{-1}+\xi)\pi^2$, where $\xi$ is the ratio of the
minor and major axes. This is in agreement with the previous result
$n_{circle}=2\pi^2$ and also with the conjecture that the minimum value of $n$
for any plane curve occurs for the circle.
| math-ph math.MP | we reconsider the euclidean version of the photon number integral introduced in ref 1 this integral is well defined for any smooth nonselfintersecting curve in rn besides studying general features of this integral including it s conformal invariance we evaluate it explicitly for the ellipse the result is n_ellipsexi1xipi2 where xi is the ratio of the minor and major axes this is in agreement with the previous result n_circle2pi2 and also with the conjecture that the minimum value of n for any plane curve occurs for the circle | [['we', 'reconsider', 'the', 'euclidean', 'version', 'of', 'the', 'photon', 'number', 'integral', 'introduced', 'in', 'ref', '1', 'this', 'integral', 'is', 'well', 'defined', 'for', 'any', 'smooth', 'nonselfintersecting', 'curve', 'in', 'rn', 'besides', 'studying', 'general', 'features', 'of', 'this', 'integral', 'including', 'it', 's', 'conformal', 'invariance', 'we', 'evaluate', 'it', 'explicitly', 'for', 'the', 'ellipse', 'the', 'result', 'is', 'n_ellipsexi1xipi2', 'where', 'xi', 'is', 'the', 'ratio', 'of', 'the', 'minor', 'and', 'major', 'axes', 'this', 'is', 'in', 'agreement', 'with', 'the', 'previous', 'result', 'n_circle2pi2', 'and', 'also', 'with', 'the', 'conjecture', 'that', 'the', 'minimum', 'value', 'of', 'n', 'for', 'any', 'plane', 'curve', 'occurs', 'for', 'the', 'circle']] | [-0.16848282936180747, 0.07063566117958966, -0.06353519253735972, 0.039995047248910766, -0.043897332098378344, -0.10743553771875626, -0.020271230521503578, 0.3385883163915254, -0.232164315359537, -0.27528777627577616, 0.1026718953399659, -0.2745591950640732, -0.1503583556988688, 0.1985269742422239, -0.08689747941355373, 0.04574922264315361, 0.03407310523352651, 0.061300196782360934, -0.05977415631601024, -0.2677726921270775, 0.3387271062319362, 0.006643267564995344, 0.20857973286318918, 0.07467015432586438, 0.08955234457023961, 0.08651992681484973, -0.006715611486998928, 0.0040911551575761205, -0.17420664853404538, 0.10846842851673881, 0.21010840275909665, 0.09361867733343049, 0.18263067688446405, -0.3259010063700898, -0.19834188388411475, 0.1555048023285561, 0.10946937767398912, 0.05558913193513141, -0.003912322361260479, -0.21524459819396047, 0.1000877659995282, -0.10348443400255557, -0.21643932126895632, 0.0042547296169538834, 0.09650750163682671, -0.0038194479853954424, -0.24672420353487914, 0.07710459430635701, 0.11215440720606726, 0.06386341450216118, -0.04032962199647066, -0.10500112146566903, -0.0024527785568606367, 0.08672937144103005, 0.07262421036572304, 0.14705334652518465, 0.06580393527753564, -0.0954666937867059, -0.07590836417647404, 0.3833312290005906, -0.0733648944743584, -0.2119832883567311, 0.09361080458214463, -0.17133605613936345, -0.15368674052229456, 0.09762457966652893, 0.07633204446282497, 0.14544185613238708, -0.09152529287953363, 0.14766951166716036, -0.09788106368897959, 0.11387942676150868, 0.08362346271399496, -0.01866738230464127, 0.15408091759309173, 0.09159557813735203, 0.059823886664627596, 0.14570297331137713, -0.08643012043348579, -0.10061787472777935, -0.38645831952521276, -0.21141358194222978, -0.19739200235723497, 0.0669304302048891, -0.1412458642880665, -0.13055150111227534, 0.36462734877889935, 0.10409801480069968, 0.23753172906418873, 0.07283068820292693, 0.2642591205820831, 0.1626491262794061, 0.06568685704625624, 0.08770164414471406, 0.23736505788685971, 0.10869547402009715, 0.05004735609521916, -0.1958396814731058, 0.021432572125652156, 0.10838308078128585] |
710.4277 | Inelastic Scattering and Spin Polarization in Dilute Magnetic
Semiconductor (Ga,Mn)Sb | The Point Contact Andreev Reflection (PCAR) technique has already been used
to measure the spin polarization of some of the dilute magnetic semiconductors,
such as narrow-band (In,Mn)Sb, as well as wider gap (Ga,Mn)As. While in
(In,Mn)Sb conventional Andreev reflection has been demonstrated, in (Ga,Mn)As
quasiparticle density of states (DOS) broadening has been observed, possibly
due to inelastic scattering effects. Here, we investigate the spin
polarization, magnetic, and transport properties of epitaxially grown (Ga,Mn)Sb
films with the Curie temperature of ~ 10K. The spin polarization of 57+/-5% was
measured. Spectrum broadening in (Ga,Mn)Sb has also been observed.
| cond-mat.supr-con cond-mat.mtrl-sci | the point contact andreev reflection pcar technique has already been used to measure the spin polarization of some of the dilute magnetic semiconductors such as narrowband inmnsb as well as wider gap gamnas while in inmnsb conventional andreev reflection has been demonstrated in gamnas quasiparticle density of states dos broadening has been observed possibly due to inelastic scattering effects here we investigate the spin polarization magnetic and transport properties of epitaxially grown gamnsb films with the curie temperature of 10k the spin polarization of 575 was measured spectrum broadening in gamnsb has also been observed | [['the', 'point', 'contact', 'andreev', 'reflection', 'pcar', 'technique', 'has', 'already', 'been', 'used', 'to', 'measure', 'the', 'spin', 'polarization', 'of', 'some', 'of', 'the', 'dilute', 'magnetic', 'semiconductors', 'such', 'as', 'narrowband', 'inmnsb', 'as', 'well', 'as', 'wider', 'gap', 'gamnas', 'while', 'in', 'inmnsb', 'conventional', 'andreev', 'reflection', 'has', 'been', 'demonstrated', 'in', 'gamnas', 'quasiparticle', 'density', 'of', 'states', 'dos', 'broadening', 'has', 'been', 'observed', 'possibly', 'due', 'to', 'inelastic', 'scattering', 'effects', 'here', 'we', 'investigate', 'the', 'spin', 'polarization', 'magnetic', 'and', 'transport', 'properties', 'of', 'epitaxially', 'grown', 'gamnsb', 'films', 'with', 'the', 'curie', 'temperature', 'of', '10k', 'the', 'spin', 'polarization', 'of', '575', 'was', 'measured', 'spectrum', 'broadening', 'in', 'gamnsb', 'has', 'also', 'been', 'observed']] | [-0.13194895568253692, 0.18245222159255778, -0.09108322159817783, 0.018183933240511724, -0.049039952957662204, -0.12321155468222275, 0.03898215433081952, 0.45874937487545836, -0.2454724448923302, -0.3412258951431541, -0.01488418327719574, -0.3295171289474413, -0.05760057969519528, 0.2020113565258041, 0.04998988162485823, 0.1293421654501349, -0.10176777395529933, -0.0569953527802261, -0.0810560685312075, -0.17857331849173994, 0.293488971117924, 0.06182588224789949, 0.34893201960010395, 0.17019249574952228, 0.019892076215636666, 0.03673400858671264, 0.11997219164084683, 0.041494079264661955, -0.10881546097657373, -0.04034387414726699, 0.29575041287969195, -0.15031470389079404, 0.1382435795360355, -0.41572262539017585, -0.2796724015266024, 4.202674233144329e-05, 0.16620011658593012, 0.15804213921098859, -0.08705816126518673, -0.29765655450843354, 0.020170027670520608, -0.1634807470304671, -0.12726784951394043, -0.07991641036344953, -0.014154278593117832, -0.02393139842759958, -0.17774839885032145, 0.08305388360293031, 0.04810338111479156, 0.10797031869691226, -0.08539029906794268, -0.17944241781789128, -0.1298366349756277, 0.0314807299855015, 0.058139520441933025, 0.030574332992796615, 0.1682862713932991, -0.06474322282649096, -0.17016402882353593, 0.3195860109301985, -0.07893289090885271, -0.018291873757236746, 0.1435869353603051, -0.2708610217587682, -0.06601212120624961, 0.20468957362175788, 0.11599342499469076, 0.10201837668215395, -0.16703377474820422, 0.12356301608322669, -0.0457948037155313, 0.15420935920005294, 0.10766299593672958, 0.13679687392031672, 0.23924447090354978, 0.2147584056008547, -0.000956257014104756, 0.13188106734781296, -0.24332215376974395, 0.027691764797094048, -0.09333588772763808, -0.14600622470700933, -0.24399843955192194, 0.13992890873323044, 0.02141337104217445, -0.1950966322579251, 0.3770839359250761, 0.12716364343550496, 0.18650641839110083, -0.09436425571805568, 0.2698412631408021, 0.17356350612501184, 0.10555563314432298, 0.01827084766801006, 0.2851506012447444, 0.2788561817098369, 0.15105246825353993, -0.28892256896342, 0.15402820306800066, -0.1103122392844569] |
710.4278 | Shape reconstruction from gradient data | We present a novel method for reconstructing the shape of an object from
measured gradient data. A certain class of optical sensors does not measure the
shape of an object, but its local slope. These sensors display several
advantages, including high information efficiency, sensitivity, and robustness.
For many applications, however, it is necessary to acquire the shape, which
must be calculated from the slopes by numerical integration. Existing
integration techniques show drawbacks that render them unusable in many cases.
Our method is based on approximation employing radial basis functions. It can
be applied to irregularly sampled, noisy, and incomplete data, and it
reconstructs surfaces both locally and globally with high accuracy.
| physics.optics | we present a novel method for reconstructing the shape of an object from measured gradient data a certain class of optical sensors does not measure the shape of an object but its local slope these sensors display several advantages including high information efficiency sensitivity and robustness for many applications however it is necessary to acquire the shape which must be calculated from the slopes by numerical integration existing integration techniques show drawbacks that render them unusable in many cases our method is based on approximation employing radial basis functions it can be applied to irregularly sampled noisy and incomplete data and it reconstructs surfaces both locally and globally with high accuracy | [['we', 'present', 'a', 'novel', 'method', 'for', 'reconstructing', 'the', 'shape', 'of', 'an', 'object', 'from', 'measured', 'gradient', 'data', 'a', 'certain', 'class', 'of', 'optical', 'sensors', 'does', 'not', 'measure', 'the', 'shape', 'of', 'an', 'object', 'but', 'its', 'local', 'slope', 'these', 'sensors', 'display', 'several', 'advantages', 'including', 'high', 'information', 'efficiency', 'sensitivity', 'and', 'robustness', 'for', 'many', 'applications', 'however', 'it', 'is', 'necessary', 'to', 'acquire', 'the', 'shape', 'which', 'must', 'be', 'calculated', 'from', 'the', 'slopes', 'by', 'numerical', 'integration', 'existing', 'integration', 'techniques', 'show', 'drawbacks', 'that', 'render', 'them', 'unusable', 'in', 'many', 'cases', 'our', 'method', 'is', 'based', 'on', 'approximation', 'employing', 'radial', 'basis', 'functions', 'it', 'can', 'be', 'applied', 'to', 'irregularly', 'sampled', 'noisy', 'and', 'incomplete', 'data', 'and', 'it', 'reconstructs', 'surfaces', 'both', 'locally', 'and', 'globally', 'with', 'high', 'accuracy']] | [-0.04013800609076547, 0.02334027790054385, -0.11577532495799903, 0.047488120376124036, -0.08500555855943612, -0.14138001754779267, -0.0018797730397735093, 0.4635446008865361, -0.29441544474448655, -0.33715643035667436, 0.15549794135317374, -0.2533487181288299, -0.15747994192884313, 0.26199975973079065, -0.11644066401732653, 0.10051729353427938, 0.0931339621678129, -0.005258747686942418, -0.08941227496970815, -0.2396846136994878, 0.2667049053083132, 0.024324708416856623, 0.31717645395589106, 0.0318808692826277, 0.13012462324328586, -0.004325315863867332, -0.04436667862994311, 0.05597202447862802, -0.05349904862328208, 0.1437762737072803, 0.2523748752501634, 0.15796277253796254, 0.2501669058257395, -0.4200021978971121, -0.24318677798618335, 0.12086430800289989, 0.1360588132714232, 0.10330378725969543, -0.0899667876283848, -0.2746268092016983, 0.09955793233202384, -0.13827416832718226, -0.12600168953272137, -0.16883303741882513, -0.004520486557839421, 0.05038141748167339, -0.27213819891105295, 0.06123004978740806, 0.004421674751315836, 0.045506721165299684, -0.06761686809713373, -0.10658172256657267, -0.004617508783986843, 0.15767726327108034, 0.004901745637694189, 0.016033190679065213, 0.15618047768434695, -0.14029133324049883, -0.06002603988121222, 0.356461150015847, -0.02572145258907128, -0.24894365252557774, 0.2121056356731601, -0.11840760295472301, -0.11497704430508453, 0.1727237123702359, 0.1488069726179379, 0.13213018018769118, -0.13880913061937233, 0.04431664167488044, 0.039910575878378506, 0.18328115426901695, 0.03669346263632178, 0.04216716553059381, 0.18892810949300592, 0.13041754493485666, 0.08624038955003761, 0.08836731673449043, -0.14540503645627256, -0.04896248799018763, -0.25764267550999514, -0.10226914216974028, -0.21713356749020382, -0.01457826940640115, -0.09179261150541254, -0.18520635945370068, 0.3659123262172347, 0.17008255238787415, 0.23783453760735757, 0.059185335363328526, 0.3500236707093479, 0.09253849733205563, 0.09425978260146253, 0.07528259282142997, 0.21855437863504867, 0.07747696352040244, 0.09134624554012138, -0.16936586075147764, 0.08305978153303668, 0.00986144094316809] |
710.4279 | The SuperNEMO double beta decay experiment | The SuperNEMO project studies the feasibility of employing a technique of
tracking plus calorimetry to search for neutrinoless double beta decay in 100
kg of enriched isotopes. It aims to reach an effective neutrino mass
sensitivity of 50 meV. The current status of the SuperNEMO R&D programme is
described, focusing on the main areas of improvement.
| physics.ins-det hep-ex | the supernemo project studies the feasibility of employing a technique of tracking plus calorimetry to search for neutrinoless double beta decay in 100 kg of enriched isotopes it aims to reach an effective neutrino mass sensitivity of 50 mev the current status of the supernemo rd programme is described focusing on the main areas of improvement | [['the', 'supernemo', 'project', 'studies', 'the', 'feasibility', 'of', 'employing', 'a', 'technique', 'of', 'tracking', 'plus', 'calorimetry', 'to', 'search', 'for', 'neutrinoless', 'double', 'beta', 'decay', 'in', '100', 'kg', 'of', 'enriched', 'isotopes', 'it', 'aims', 'to', 'reach', 'an', 'effective', 'neutrino', 'mass', 'sensitivity', 'of', '50', 'mev', 'the', 'current', 'status', 'of', 'the', 'supernemo', 'rd', 'programme', 'is', 'described', 'focusing', 'on', 'the', 'main', 'areas', 'of', 'improvement']] | [-0.0362361960911325, 0.1692213992129317, 0.008176394921195294, 0.06064495706440149, 0.009342713125079172, -0.1033693240606226, 0.08139069897255727, 0.28907598009599106, -0.17235981237276324, -0.3521227678616664, 0.08133698172709306, -0.3169219695763396, 0.01649885667783175, 0.2383339402357316, 0.04456397653224745, 0.06982571708171495, 0.0741541146167687, 0.03136499685102275, -0.10674919609612386, -0.2542325916666804, 0.23729474772699177, 0.21339470589633233, 0.2470252011303923, 0.05943270414302658, 0.06202680868279588, -0.003429998444127185, -0.10532612880758409, -0.1061162744133201, -0.14966386053336983, 0.08761820704343595, 0.2649579437981759, 0.1858024114875921, 0.2079860108871279, -0.34307380988528685, -0.0938224968101297, 0.11688256617136565, 0.12802875612812517, -0.03243636522841241, -0.13228769415166294, -0.3323062614155268, 0.10239222635573242, -0.21915861112730844, -0.20535982722815657, -0.0004616834256531937, -0.028111643640191426, 0.02387582726909646, -0.28280087683482896, -0.010881141861838322, -0.020638383392776762, 0.020720288074309274, -0.04329096346295306, -0.2354345077515713, 0.12237275358555573, 0.09535074406137158, 0.07814403727700535, 0.07487716838867138, 0.21378875690321106, -0.15163299908661948, -0.1316505006980151, 0.34494715380216284, -0.09468329520106115, -0.07401291930416067, 0.10910869363163199, -0.19033055144141794, -0.14352484845689364, 0.21306791109132714, 0.18774686023659473, 0.12453950791054272, -0.20754710076809196, 0.11383098802941406, 0.03129822620290464, 0.1952732148139538, 0.031715858195509226, -0.0068197076907381415, 0.23869240074418485, 0.4114623072424105, 0.09897765043258135, -0.0031474333123436998, -0.18447058146869363, -0.029684621175485, -0.3458454336172768, -0.1848172614201238, -0.04895496296895934, 0.05422765457270933, 0.0383869112535779, -0.08852285004572227, 0.4303375155806342, 0.09680236196644339, 0.07923624479943621, -0.049693715627654456, 0.278281132871468, 0.010996006304464703, 0.0899826537518363, -0.08179485234930846, 0.31691875845925616, 0.18939764914102852, 0.13125635898073337, -0.2855809549218975, 0.011036025071267172, 0.034665275506475676] |
710.428 | Gamma Ray Bursts from the early Universe: predictions for present-day
and future instruments | Long Gamma Ray Bursts (GRBs) constitute an important tool to study the
Universe near and beyond the epoch of reionization. We delineate here the
characteristics of an 'ideal' instrument for the search of GRBs at z>6-10. We
find that the detection of these objects requires soft band detectors with a
high sensitivity and moderately large FOV. In the light of these results, we
compare available and planned GRB missions, deriving conservative predictions
on the number of high-z GRBs detectable by these instruments along with the
maximum accessible redshift. We show that the Swift satellite will be able to
detect various GRBs at z>6, and likely at z>10 if the trigger threshold is
decreased by a factor of ~2. Furthermore, we find that INTEGRAL and GLAST are
not the best tool to detect bursts at z>6: the former being limited by the
small FOV, and the latter by its hard energy band and relatively low
sensitivity. Finally, future missions (SVOM, EDGE, but in particular EXIST)
will provide a good sample of GRBs at z>6 in a few years of operation.
| astro-ph | long gamma ray bursts grbs constitute an important tool to study the universe near and beyond the epoch of reionization we delineate here the characteristics of an ideal instrument for the search of grbs at z610 we find that the detection of these objects requires soft band detectors with a high sensitivity and moderately large fov in the light of these results we compare available and planned grb missions deriving conservative predictions on the number of highz grbs detectable by these instruments along with the maximum accessible redshift we show that the swift satellite will be able to detect various grbs at z6 and likely at z10 if the trigger threshold is decreased by a factor of 2 furthermore we find that integral and glast are not the best tool to detect bursts at z6 the former being limited by the small fov and the latter by its hard energy band and relatively low sensitivity finally future missions svom edge but in particular exist will provide a good sample of grbs at z6 in a few years of operation | [['long', 'gamma', 'ray', 'bursts', 'grbs', 'constitute', 'an', 'important', 'tool', 'to', 'study', 'the', 'universe', 'near', 'and', 'beyond', 'the', 'epoch', 'of', 'reionization', 'we', 'delineate', 'here', 'the', 'characteristics', 'of', 'an', 'ideal', 'instrument', 'for', 'the', 'search', 'of', 'grbs', 'at', 'z610', 'we', 'find', 'that', 'the', 'detection', 'of', 'these', 'objects', 'requires', 'soft', 'band', 'detectors', 'with', 'a', 'high', 'sensitivity', 'and', 'moderately', 'large', 'fov', 'in', 'the', 'light', 'of', 'these', 'results', 'we', 'compare', 'available', 'and', 'planned', 'grb', 'missions', 'deriving', 'conservative', 'predictions', 'on', 'the', 'number', 'of', 'highz', 'grbs', 'detectable', 'by', 'these', 'instruments', 'along', 'with', 'the', 'maximum', 'accessible', 'redshift', 'we', 'show', 'that', 'the', 'swift', 'satellite', 'will', 'be', 'able', 'to', 'detect', 'various', 'grbs', 'at', 'z6', 'and', 'likely', 'at', 'z10', 'if', 'the', 'trigger', 'threshold', 'is', 'decreased', 'by', 'a', 'factor', 'of', '2', 'furthermore', 'we', 'find', 'that', 'integral', 'and', 'glast', 'are', 'not', 'the', 'best', 'tool', 'to', 'detect', 'bursts', 'at', 'z6', 'the', 'former', 'being', 'limited', 'by', 'the', 'small', 'fov', 'and', 'the', 'latter', 'by', 'its', 'hard', 'energy', 'band', 'and', 'relatively', 'low', 'sensitivity', 'finally', 'future', 'missions', 'svom', 'edge', 'but', 'in', 'particular', 'exist', 'will', 'provide', 'a', 'good', 'sample', 'of', 'grbs', 'at', 'z6', 'in', 'a', 'few', 'years', 'of', 'operation']] | [-0.06376270995398609, 0.16545643721328002, -0.03663537759000862, 0.1436865432298477, -0.10003806838073752, -0.10621856156653366, 0.06828893474745434, 0.4486919161993698, -0.17869875955463038, -0.3578676578703248, 0.08647008932536394, -0.33226808070532937, -0.03884539727444172, 0.26461313491005595, -0.004996650370992928, 0.006310435349847497, 0.09224840856544861, -0.0641185625587322, -0.04308610587234819, -0.2783905634261127, 0.24980276149916125, 0.18496881023715328, 0.1795441926768838, 0.013845491665285392, 0.09433241282959141, -0.05070306329373999, -0.08146590834474399, -0.0063487087823866795, -0.1515681331802219, 0.04499404598027468, 0.3167395635102173, 0.136410676866416, 0.24170464271544245, -0.39041094235826623, -0.19263083080880802, 0.12050168948604428, 0.1265633399071505, 0.021244293198447322, -0.03693097943047259, -0.29417514732346856, 0.09903117817502688, -0.1758687545248833, -0.16693446030528103, -0.009370415529376676, 0.016225230599124004, 0.051667174710710036, -0.16391557043772087, 0.04462845332584963, -0.013277536762784646, 0.023500900236920936, -0.05255483207422928, -0.020027031387103586, 0.004209248855704827, 0.08039421653218942, 0.05372313789954388, 0.05617547475774486, 0.1183934924556931, -0.19309108816971743, -0.05032524912925073, 0.3939301384529671, -0.06415041047180925, 0.009797225210701204, 0.20776603570176735, -0.22750832788599396, -0.1935042806812588, 0.17454837042416899, 0.15018248469822432, 0.09638117508723416, -0.1275623979816973, 0.02605337588108072, 0.03536128626704507, 0.19952482899049995, 0.025702075421414727, 0.08268691337662203, 0.30008180934269835, 0.16875561953824034, 0.09595668662401884, 0.07696393076798685, -0.21893450898617797, 0.0733707693864607, -0.32685294011139504, -0.11626108300185362, -0.17345512590979814, 0.08104481448898386, -0.09753227374698854, -0.09623101212776282, 0.38389203069450634, 0.16605107540618524, 0.1763582465423573, 0.08728342459474654, 0.271932521803752, 0.07071414231921042, 0.08125732699148981, 0.07733279757992516, 0.353522495621576, 0.033945310314565734, 0.08196307836599939, -0.1612785824847033, 0.06678999547831006, -0.027355471204487638] |
710.4281 | Tan(beta) enhanced Yukawa couplings for supersymmetric Higgs singlets at
one loop | Extensions of the MSSM generically feature gauge singlet Higgs bosons. These
singlet Higgs bosons have tan(beta)-enhanced Yukawa couplings to down-type
quarks and leptons at the one-loop level. We present an effective Lagrangian
incorporating these Yukawa couplings and use it to study their effect on
singlet Higgs boson phenomenology within both the mnSSM and NMSSM. It is found
that the loop-induced couplings represent an appreciable effect for the singlet
pseudoscalar in particular, and may dominate its decay modes in some regions of
parameter space.
| hep-ph | extensions of the mssm generically feature gauge singlet higgs bosons these singlet higgs bosons have tanbetaenhanced yukawa couplings to downtype quarks and leptons at the oneloop level we present an effective lagrangian incorporating these yukawa couplings and use it to study their effect on singlet higgs boson phenomenology within both the mnssm and nmssm it is found that the loopinduced couplings represent an appreciable effect for the singlet pseudoscalar in particular and may dominate its decay modes in some regions of parameter space | [['extensions', 'of', 'the', 'mssm', 'generically', 'feature', 'gauge', 'singlet', 'higgs', 'bosons', 'these', 'singlet', 'higgs', 'bosons', 'have', 'tanbetaenhanced', 'yukawa', 'couplings', 'to', 'downtype', 'quarks', 'and', 'leptons', 'at', 'the', 'oneloop', 'level', 'we', 'present', 'an', 'effective', 'lagrangian', 'incorporating', 'these', 'yukawa', 'couplings', 'and', 'use', 'it', 'to', 'study', 'their', 'effect', 'on', 'singlet', 'higgs', 'boson', 'phenomenology', 'within', 'both', 'the', 'mnssm', 'and', 'nmssm', 'it', 'is', 'found', 'that', 'the', 'loopinduced', 'couplings', 'represent', 'an', 'appreciable', 'effect', 'for', 'the', 'singlet', 'pseudoscalar', 'in', 'particular', 'and', 'may', 'dominate', 'its', 'decay', 'modes', 'in', 'some', 'regions', 'of', 'parameter', 'space']] | [-0.10198725716222122, 0.3555692643048494, -0.00671160786064813, 0.23506826454779156, -0.11200536886252553, -0.22463107685255537, 0.01122678152891437, 0.34484159986836366, -0.18370781953906618, -0.2461583588878254, -0.07292056251990509, -0.2915061166094818, -0.0462981129839388, 0.03671857049262308, 0.12165452902070639, 0.016875847567473144, 0.04323965978124235, -0.013327192604900843, -0.026132913769211574, -0.33891391702534923, 0.30539774478424386, -0.040809675725737966, 0.144110925621858, 0.15162873848240419, 0.04484104360061058, 0.016320938850382726, 0.054436400600046994, -0.19671252510736204, -0.10401238612481743, 0.053231720212308396, 0.1596542936581445, -0.028502066557980085, 0.07612843290869012, -0.3253186762736863, -0.12058286093377385, 0.21312018856406212, 0.2110180604125721, 0.12202827752489283, -0.06398965390988189, -0.3756283203207226, 0.05429666689793433, -0.24948332041322466, -0.07982296837460115, -0.1618344900899578, -0.09700530738687614, -0.22457239267708037, -0.37366865709962616, 0.07496702760641732, -0.08196935495810516, 0.018753125208867603, 0.03518351628473141, -0.19237561853243465, -0.1431268145195601, -0.035859800791031265, 0.2556499597442572, 0.002031817733862785, 0.1880446560512555, -0.28803203928183363, -0.17956837934318437, 0.41255040327648085, -0.1523549007476274, -0.2367909062031028, 0.16949222523000945, -0.1317657971620021, -0.15632360955947136, 0.12251511036631572, 0.2189085487590497, 0.03598757493253573, -0.17047689120139342, 0.29280371693838164, -0.015843654051423073, 0.13160239052341646, 0.02067698816858591, 0.1320121933100184, 0.2861909554171634, 0.1348651034998741, 0.01800267349266593, 0.01765859867614436, -0.04020963636989963, -0.1276167680576713, -0.46371154850685453, -0.15543811561831508, -0.0020293768843164645, -0.0046269163455679475, -0.10971374410633783, -0.12244765586163624, 0.45185015099796366, 0.16560359553473228, 0.2319351874561195, 0.00344906491227448, 0.25215465422854366, 0.06514296644852575, 0.15354230997982962, -0.007602999710578875, 0.373443349737587, 0.1742516968354403, 0.07006632348702076, -0.25258290770474867, -0.06777578561443341, 0.11044587771105299] |
710.4282 | Broad Lyman-Alpha Emission from Supernova Remnants in Young Galaxies | Charge transfer (or exchange) reactions between hydrogen atoms and protons in
collisionless shocks of supernova remnants (SNRs) are a natural way of
producing broad Balmer, Lyman and other lines of hydrogen. We wish to quantify
the importance of shock-induced, non-thermal hydrogen emission from SNRs in
young galaxies. We present a method to estimate the luminosity of broad ($\sim
1000$ km s$^{-1}$) Ly$\alpha$, Ly$\beta$, Ly$\gamma$, H$\beta$ and P$\alpha$
lines, as well as the broad and narrow luminosities of the two-photon
(2$\gamma$) continuum, from existing measurements of the H$\alpha$ flux. The
expected broad Ly$\alpha$ luminosity per object is at most $\sim 10^{36}$ erg
s$^{-1}$. In principle, broad, ``non-radiative'' Ly$\alpha$ from SNRs in young
galaxies can be directly observed in the optical range of wavelengths. However,
by taking into consideration the different rates between core collapse and
thermonuclear supernovae, as well as the duration we expect to observe such
Ly$\alpha$ emission from SNRs, we expect their contribution to the total
Ly$\alpha$ luminosity from $z \sim 3$ to 5 galaxies to be negligibly small
($\sim 0.001 %$), compared to the radiative shock mechanism described by Shull
& Silk (1979). Though broad, non-thermal Ly$\alpha$ emission has never been
observed, these photons are produced in SNRs and hence the non-radiative
Ly$\alpha$ luminosity is a part of the intrinsic Ly$\alpha$ spectrum of young
galaxies.
| astro-ph | charge transfer or exchange reactions between hydrogen atoms and protons in collisionless shocks of supernova remnants snrs are a natural way of producing broad balmer lyman and other lines of hydrogen we wish to quantify the importance of shockinduced nonthermal hydrogen emission from snrs in young galaxies we present a method to estimate the luminosity of broad sim 1000 km s1 lyalpha lybeta lygamma hbeta and palpha lines as well as the broad and narrow luminosities of the twophoton 2gamma continuum from existing measurements of the halpha flux the expected broad lyalpha luminosity per object is at most sim 1036 erg s1 in principle broad nonradiative lyalpha from snrs in young galaxies can be directly observed in the optical range of wavelengths however by taking into consideration the different rates between core collapse and thermonuclear supernovae as well as the duration we expect to observe such lyalpha emission from snrs we expect their contribution to the total lyalpha luminosity from z sim 3 to 5 galaxies to be negligibly small sim 0001 compared to the radiative shock mechanism described by shull silk 1979 though broad nonthermal lyalpha emission has never been observed these photons are produced in snrs and hence the nonradiative lyalpha luminosity is a part of the intrinsic lyalpha spectrum of young galaxies | [['charge', 'transfer', 'or', 'exchange', 'reactions', 'between', 'hydrogen', 'atoms', 'and', 'protons', 'in', 'collisionless', 'shocks', 'of', 'supernova', 'remnants', 'snrs', 'are', 'a', 'natural', 'way', 'of', 'producing', 'broad', 'balmer', 'lyman', 'and', 'other', 'lines', 'of', 'hydrogen', 'we', 'wish', 'to', 'quantify', 'the', 'importance', 'of', 'shockinduced', 'nonthermal', 'hydrogen', 'emission', 'from', 'snrs', 'in', 'young', 'galaxies', 'we', 'present', 'a', 'method', 'to', 'estimate', 'the', 'luminosity', 'of', 'broad', 'sim', '1000', 'km', 's1', 'lyalpha', 'lybeta', 'lygamma', 'hbeta', 'and', 'palpha', 'lines', 'as', 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710.4283 | Crossing the phantom divide in an interacting generalized Chaplygin gas | Unified generalized Chaplygin gas models assuming an interaction between dark
energy and dark matter fluids have been previously proposed. Following these
ideas, we consider a particular relation between dark densities, which allows
the possibility of a time varying equation of state for dark energy that
crosses the phantom divide at a recent epoch. Moreover, these densities decay
during all the evolution of the Universe, avoiding a Big Rip. We find also a
scaling solution, i.e. these densities are asymptotically proportional in the
future, which contributes to the solution of the coincidence problem.
| hep-th | unified generalized chaplygin gas models assuming an interaction between dark energy and dark matter fluids have been previously proposed following these ideas we consider a particular relation between dark densities which allows the possibility of a time varying equation of state for dark energy that crosses the phantom divide at a recent epoch moreover these densities decay during all the evolution of the universe avoiding a big rip we find also a scaling solution ie these densities are asymptotically proportional in the future which contributes to the solution of the coincidence problem | [['unified', 'generalized', 'chaplygin', 'gas', 'models', 'assuming', 'an', 'interaction', 'between', 'dark', 'energy', 'and', 'dark', 'matter', 'fluids', 'have', 'been', 'previously', 'proposed', 'following', 'these', 'ideas', 'we', 'consider', 'a', 'particular', 'relation', 'between', 'dark', 'densities', 'which', 'allows', 'the', 'possibility', 'of', 'a', 'time', 'varying', 'equation', 'of', 'state', 'for', 'dark', 'energy', 'that', 'crosses', 'the', 'phantom', 'divide', 'at', 'a', 'recent', 'epoch', 'moreover', 'these', 'densities', 'decay', 'during', 'all', 'the', 'evolution', 'of', 'the', 'universe', 'avoiding', 'a', 'big', 'rip', 'we', 'find', 'also', 'a', 'scaling', 'solution', 'ie', 'these', 'densities', 'are', 'asymptotically', 'proportional', 'in', 'the', 'future', 'which', 'contributes', 'to', 'the', 'solution', 'of', 'the', 'coincidence', 'problem']] | [-0.11452191238071385, 0.1346821918156385, -0.15152099412238307, 0.09523007126889475, -0.06381212319146194, -0.13235178074050372, -0.020455246750751267, 0.3091035433943667, -0.24950846507335486, -0.34142761562606727, 0.040022306530179616, -0.2654266715096879, -0.05014508966680454, 0.11710342305266987, 0.038856519842975897, 0.036707437091061605, -0.006989423965063432, 0.013715538732788485, -0.07045398401754463, -0.2610414208371051, 0.3576932265828161, 0.061583999287509156, 0.2730772593868491, 0.04652698576430102, 0.12415045300883282, -0.07029737258815895, -0.001498959265122919, -0.011414828815759392, -0.21852259214408506, 0.0333225931048535, 0.1939699011461372, 0.11835085372592363, 0.26434905761245475, -0.4404918280551615, -0.26374000600923825, 0.21752863639014083, 0.17844166640576947, 0.10817169875625278, -0.09799849261711958, -0.26767596351387707, 0.0250214457799144, -0.21396309347904247, -0.12803988195145907, -0.009868110767970591, 0.01797845287491446, 0.024242739023580012, -0.21356236311080662, 0.16009119779862332, -0.015832725059463763, -0.11766847791960058, -0.14683345714950954, -0.07273854540013101, 0.03060184255161363, 0.042298952259285295, 0.07450256002029283, -0.02832113064157412, 0.10111758941986962, -0.19734904393756195, -0.044670849471636444, 0.3592042094602695, -0.07923272463655018, -0.1525631423877633, 0.17895201237938044, -0.10833015073212268, -0.1453941983990776, 0.13086815231287366, 0.10963367527659537, 0.07394513757089557, -0.1254241289469697, 0.12665421702916754, -0.024505803240058216, 0.1591863809052207, 0.09922113110129115, -0.0037060112479831214, 0.31584398968286975, 0.15264999485605033, 0.0563654407135049, 0.08483240214864844, -0.0810831825238774, -0.13250948055444853, -0.33680325066265854, -0.19469995144754648, -0.12384417034690673, 0.04049430217381324, -0.10588358032359595, -0.10498825936456738, 0.36037885470558767, 0.11217602779683859, 0.22346139583817642, 0.0715302498530313, 0.2964366693758284, 0.10744171553296442, -0.001871852011865248, 0.08676524748823242, 0.2689730404982465, 0.10543435519945848, 0.12446445069508627, -0.22188904490726796, 0.01749140380137681, 0.01588893147772583] |
710.4284 | Numerical obstructions to abelian surfaces in toric Fano 4-folds | Some of the 124 toric Fano 4-folds contain abelian surfaces but most do not:
in a few cases it is not known whether they do or not. By elementary methods,
with a little computer help, we exclude some more possibilities.
| math.AG | some of the 124 toric fano 4folds contain abelian surfaces but most do not in a few cases it is not known whether they do or not by elementary methods with a little computer help we exclude some more possibilities | [['some', 'of', 'the', '124', 'toric', 'fano', '4folds', 'contain', 'abelian', 'surfaces', 'but', 'most', 'do', 'not', 'in', 'a', 'few', 'cases', 'it', 'is', 'not', 'known', 'whether', 'they', 'do', 'or', 'not', 'by', 'elementary', 'methods', 'with', 'a', 'little', 'computer', 'help', 'we', 'exclude', 'some', 'more', 'possibilities']] | [-0.10206224269641098, 0.10100195748964325, -0.07422654372639954, 0.19464601573126855, -0.19281195742078125, -0.282601093663834, 0.03718371232971549, 0.4474121376872063, -0.19361080709204542, -0.3178674592170864, 0.16327440035238397, -0.25910343090072274, -0.1833330375913647, 0.27259221496060493, -0.16979904621839523, -0.0197034658951452, 0.035801638313569126, 0.08049261472187937, -0.0786094071198022, -0.4055736346170306, 0.32517407201230525, -0.055161419231444596, 0.15704648580867797, 0.11222947656642646, -0.030151838596793823, -0.03995039470028132, -0.005202810396440327, 0.017003840508141365, -0.1226940001361072, 0.0727059128228575, 0.31895250878296794, 0.12694700937718154, 0.21996253004763275, -0.4411718632560223, -0.22326949811540545, 0.233429031810374, 0.1638552058953792, 0.17768180361017585, -0.05908153664386191, -0.16976176917087288, 0.09185071778483689, -0.1506307596457191, -0.1485580860869959, -0.11990181994624435, -0.045176053640898314, 0.012084552971646189, -0.09739957848796621, -0.006784123333636672, 0.1504380270431284, 0.10452356815803795, 0.036570948315784335, -0.12421274511143565, -0.03846237123943865, 0.06377011804725044, 0.00034040308673866093, -0.01223044457146898, 0.10334484219783917, -0.18674007749650628, -0.13094929202925415, 0.4183269366621971, 0.012326661485712976, -0.308009285107255, 0.26502185836434367, -0.19660828119376675, -0.17200081169139594, 0.20910742129199206, 0.04419777891598642, 0.18684422755613922, -0.10829757661558688, 0.08733128362800927, -0.07623410960659385, 0.221367009379901, 0.08245173844043166, 0.019531124201603235, 0.2068967512463132, 0.03026871755719185, 0.042478041371214206, -0.023715064767748116, -0.011555550992488861, -0.036338985909242186, -0.3365368016064167, -0.1016187411849387, -0.10487951920367777, 0.1628377432421985, 0.005083701619878411, -0.20163109365385026, 0.34225804591551423, 0.08828421900980174, 0.21465336589608341, -0.019585130736231804, 0.20701526002958417, -0.045294963475316766, 0.14470925489440561, 0.10338298924034461, 0.2272561254518223, 0.10662548002437688, 0.021979314368218185, -0.05306662726070499, 0.057302404299844054, 0.030007991223828866] |
710.4285 | Experimental validation and physical modelling of vocal folds
pathologies | Voiced sounds involve self-sustained vocal folds oscillations due to the
interaction between the airflow and the vocal folds. Common vocal folds
pathologies like polyps and anatomical asymmetry degrade the mechanical vocal
fold properties and consequently disturb the normal oscillation pattern
resulting in an abnormal sound production. Treatment of voice abnormalities
would benefit from an improved understanding between the pathology and the
resulting oscillation pattern which motivates physical vocal folds modelling.
The current study applies a theoretical vocal folds model to vocal folds
pathologies. The theoretical vocal folds model is validated using an
experimental set-up simulating the human phonatory apparatus. It consists in a
pressure reservoir, a self-oscillating latex replica of the vocal folds and an
acoustical resonator. The effects of pathologies are simulated by modifying the
replica's geometry, elasticity, and homogeneity under controlled experimental
conditions. In general, we observed a close match between measurements and
theoretical predictions, which is all the more surprising considering the
crudeness of the theoretical model
| physics.class-ph | voiced sounds involve selfsustained vocal folds oscillations due to the interaction between the airflow and the vocal folds common vocal folds pathologies like polyps and anatomical asymmetry degrade the mechanical vocal fold properties and consequently disturb the normal oscillation pattern resulting in an abnormal sound production treatment of voice abnormalities would benefit from an improved understanding between the pathology and the resulting oscillation pattern which motivates physical vocal folds modelling the current study applies a theoretical vocal folds model to vocal folds pathologies the theoretical vocal folds model is validated using an experimental setup simulating the human phonatory apparatus it consists in a pressure reservoir a selfoscillating latex replica of the vocal folds and an acoustical resonator the effects of pathologies are simulated by modifying the replicas geometry elasticity and homogeneity under controlled experimental conditions in general we observed a close match between measurements and theoretical predictions which is all the more surprising considering the crudeness of the theoretical model | [['voiced', 'sounds', 'involve', 'selfsustained', 'vocal', 'folds', 'oscillations', 'due', 'to', 'the', 'interaction', 'between', 'the', 'airflow', 'and', 'the', 'vocal', 'folds', 'common', 'vocal', 'folds', 'pathologies', 'like', 'polyps', 'and', 'anatomical', 'asymmetry', 'degrade', 'the', 'mechanical', 'vocal', 'fold', 'properties', 'and', 'consequently', 'disturb', 'the', 'normal', 'oscillation', 'pattern', 'resulting', 'in', 'an', 'abnormal', 'sound', 'production', 'treatment', 'of', 'voice', 'abnormalities', 'would', 'benefit', 'from', 'an', 'improved', 'understanding', 'between', 'the', 'pathology', 'and', 'the', 'resulting', 'oscillation', 'pattern', 'which', 'motivates', 'physical', 'vocal', 'folds', 'modelling', 'the', 'current', 'study', 'applies', 'a', 'theoretical', 'vocal', 'folds', 'model', 'to', 'vocal', 'folds', 'pathologies', 'the', 'theoretical', 'vocal', 'folds', 'model', 'is', 'validated', 'using', 'an', 'experimental', 'setup', 'simulating', 'the', 'human', 'phonatory', 'apparatus', 'it', 'consists', 'in', 'a', 'pressure', 'reservoir', 'a', 'selfoscillating', 'latex', 'replica', 'of', 'the', 'vocal', 'folds', 'and', 'an', 'acoustical', 'resonator', 'the', 'effects', 'of', 'pathologies', 'are', 'simulated', 'by', 'modifying', 'the', 'replicas', 'geometry', 'elasticity', 'and', 'homogeneity', 'under', 'controlled', 'experimental', 'conditions', 'in', 'general', 'we', 'observed', 'a', 'close', 'match', 'between', 'measurements', 'and', 'theoretical', 'predictions', 'which', 'is', 'all', 'the', 'more', 'surprising', 'considering', 'the', 'crudeness', 'of', 'the', 'theoretical', 'model']] | [-0.10343725658154493, 0.09739230023934639, -0.09323844183170048, 0.06765929454365815, -0.09603158557121465, -0.14287115656770766, 0.012033425206672164, 0.3278106140515095, -0.24606734720836806, -0.30959485704668716, 0.011414339993579336, -0.2992961485663877, -0.23589964681069214, 0.21605906059782765, -0.11333465620453906, 0.0743092124680458, 0.11622993688134453, 0.02173360451596164, 0.020594285854103066, -0.10688322080856283, 0.21324636879276862, 0.033913812684072064, 0.35980330498099233, 0.0453832356588579, 0.07894445037610366, -0.037800812654645195, -0.0035082516323073614, -0.03634731637025134, -0.12892258942911558, 0.08722569756327739, 0.2595550110316806, 0.13798544264422094, 0.23927643813805866, -0.49272225129924996, -0.24422714262729203, 0.07735113090175334, 0.14349191956799714, 0.14810506049455202, 0.013719596986528457, -0.3268457314506456, 0.048250654310023386, -0.09816632389762922, -0.07406817511007001, -0.04795246051449058, -0.036487512484994496, -0.029102262788853032, -0.2007029196306403, 0.1439101264481963, 0.065379836879482, 0.135442008590031, -0.09065417125467447, -0.05662068041410633, -0.03819852699879321, 0.1745552947609155, 0.11827029678985311, -0.003253703634844079, 0.23783895281446313, -0.17397183188402293, -0.10292270111179427, 0.3646249950780899, -0.0017992212861493418, -0.22641255919338216, 0.18861964855732136, -0.096374216989785, -0.009860628667652985, 0.15049011942700635, 0.16033199878963583, 0.03583114164958036, -0.14398671424622747, -0.05195828724933989, 0.04482543480043193, 0.24805718927815132, 0.15146288599618535, -0.08961066719302259, 0.22036245533654206, 0.22770003652098977, -0.08140629624853594, 0.153220677636328, -0.08082370025612697, -0.03279661425224305, -0.3033868119391742, -0.09650481346688128, -0.06118605541480894, -0.03763674440664015, -0.06688952784408017, -0.21394802654114894, 0.4652515401403549, 0.12163496985692601, 0.1798144117899569, 0.028652275007666102, 0.3493745013573384, -0.0036051289150432412, 0.056102871447595286, -0.03879505630930343, 0.2612012326371078, 0.07611133388747729, 0.08084382918660375, -0.3098604956559271, 0.08800750057790664, -0.03087236982758475] |
710.4286 | A mechanical experimental setup to simulate vocal folds vibrations.
Preliminary results | This paper contributes to the understanding of vocal folds oscillation during
phonation. In order to test theoretical models of phonation, a new experimental
set-up using a deformable vocal folds replica is presented. The replica is
shown to be able to produce self sustained oscillations under controlled
experimental conditions. Therefore different parameters, such as those related
to elasticity, to acoustical coupling or to the subglottal pressure can be
quantitatively studied. In this work we focused on the oscillation fundamental
frequency and the upstream pressure in order to start (on-set threshold) either
end (off-set threshold) oscillations in presence of a downstream acoustical
resonator. As an example, it is shown how this data can be used in order to
test the theoretical predictions of a simple one-mass model.
| physics.class-ph | this paper contributes to the understanding of vocal folds oscillation during phonation in order to test theoretical models of phonation a new experimental setup using a deformable vocal folds replica is presented the replica is shown to be able to produce self sustained oscillations under controlled experimental conditions therefore different parameters such as those related to elasticity to acoustical coupling or to the subglottal pressure can be quantitatively studied in this work we focused on the oscillation fundamental frequency and the upstream pressure in order to start onset threshold either end offset threshold oscillations in presence of a downstream acoustical resonator as an example it is shown how this data can be used in order to test the theoretical predictions of a simple onemass model | [['this', 'paper', 'contributes', 'to', 'the', 'understanding', 'of', 'vocal', 'folds', 'oscillation', 'during', 'phonation', 'in', 'order', 'to', 'test', 'theoretical', 'models', 'of', 'phonation', 'a', 'new', 'experimental', 'setup', 'using', 'a', 'deformable', 'vocal', 'folds', 'replica', 'is', 'presented', 'the', 'replica', 'is', 'shown', 'to', 'be', 'able', 'to', 'produce', 'self', 'sustained', 'oscillations', 'under', 'controlled', 'experimental', 'conditions', 'therefore', 'different', 'parameters', 'such', 'as', 'those', 'related', 'to', 'elasticity', 'to', 'acoustical', 'coupling', 'or', 'to', 'the', 'subglottal', 'pressure', 'can', 'be', 'quantitatively', 'studied', 'in', 'this', 'work', 'we', 'focused', 'on', 'the', 'oscillation', 'fundamental', 'frequency', 'and', 'the', 'upstream', 'pressure', 'in', 'order', 'to', 'start', 'onset', 'threshold', 'either', 'end', 'offset', 'threshold', 'oscillations', 'in', 'presence', 'of', 'a', 'downstream', 'acoustical', 'resonator', 'as', 'an', 'example', 'it', 'is', 'shown', 'how', 'this', 'data', 'can', 'be', 'used', 'in', 'order', 'to', 'test', 'the', 'theoretical', 'predictions', 'of', 'a', 'simple', 'onemass', 'model']] | [-0.10287076838873327, 0.1492796790684806, -0.089574412740767, 0.050349756605923175, -0.10749477647058665, -0.12393496000766754, 0.034920552962459626, 0.3720392979979515, -0.2692993500418961, -0.3003624891638756, 0.08373818017821759, -0.23580245944485068, -0.17223310337774456, 0.21253631731495262, -0.07432949841488153, 0.08303356389701366, 0.037192225630395113, 0.052610072173178195, 0.012231209214776755, -0.17730634223669767, 0.23590711283311247, 0.10609809279441834, 0.31682273323088883, 0.07371623325860127, 0.031781025254167615, -0.08110775748267769, 0.03049641912057996, 0.017588110879063607, -0.15189570317068138, 0.06666640829667449, 0.274381255581422, 0.05810611861944199, 0.24341918406635524, -0.45302703000605105, -0.22538747581467033, 0.0849304029121995, 0.1645160536300391, 0.14345445735380052, -0.027391493363538758, -0.26628605590760707, 0.07938585648685693, -0.15814649976417422, -0.14030025251582265, -0.07701832216233015, -0.03718785557150841, 0.007084849575534463, -0.28222177097201345, 0.08282303836196661, 0.03813223266601563, 0.04319695853441954, -0.06280233536101877, -0.03909387921914458, -0.0021333303824067115, 0.11591762683726847, 0.08682922603283078, 0.04240139163658023, 0.14354228543117642, -0.1189442875739187, -0.09611502701416612, 0.3941292137503624, -0.061140726677142085, -0.20308232603222132, 0.19852263741195203, -0.1274483517818153, -0.06507976318895817, 0.1061115555986762, 0.2094656651802361, 0.05756512415781617, -0.15040598398726435, -0.03909717758791521, 0.023662383681861684, 0.21370001785829662, 0.09415982688963413, -0.05961932398378849, 0.1915384835675359, 0.20619448135793209, -0.005593591570854187, 0.1668565131286159, -0.06972082856111228, -0.054142731990665195, -0.3117269764840603, -0.0779466478973627, -0.13249514243751764, 0.007543507853522897, 0.003519532021251507, -0.13742050897842273, 0.4351717234551907, 0.1886133275721222, 0.2033404826000333, -0.0038010211512446404, 0.3157287382315844, 0.09446119756810367, 0.06867362959124147, -0.00940295759961009, 0.2938763909535482, 0.10460452519357205, 0.07850405317172408, -0.24408877438679338, 0.05038882401585579, 0.010650230949744582] |
710.4287 | Diffractive photoproduction of Z^0 bosons in coherent interactions at
CERN-LHC | The exclusive $Z^0$ photoproduction at high energies in $\gamma p (A)$, $p p$
and $AA$ collisions is investigate within the color dipole formalism. We
generalize the description of the deeply virtual compton scattering (DVCS)
process, which describe quite well the HERA data, for the production of $Z^0$
bosons and estimate the total cross section for the exclusive process $\gamma^*
h\to Z^0 h$ ($h=p,A$) for different energies, photon virtualities and atomic
numbers. As hadrons at collider energies are a source of Weizs\"{a}cker -
Williams photons, we consider electromagnetic interactions in hadron-hadron
collisions at Tevatron and LHC energies and estimate the rapidity distribution
and total cross section for $Z^0$ production in the $h h\to h Z^0 h$ process.
This is the first estimation for such a process in literature. It can allow us
to study, for instance, the physics of hadronic $Z^0$ decays in a clean
environment characterized by two rapidity gaps. Our results indicate that the
experimental analyzes of this process could be feasible in $pp$ but the physics
scenario for $AA$ collisions is not promising.
| hep-ph | the exclusive z0 photoproduction at high energies in gamma p a p p and aa collisions is investigate within the color dipole formalism we generalize the description of the deeply virtual compton scattering dvcs process which describe quite well the hera data for the production of z0 bosons and estimate the total cross section for the exclusive process gamma hto z0 h hpa for different energies photon virtualities and atomic numbers as hadrons at collider energies are a source of weizsacker williams photons we consider electromagnetic interactions in hadronhadron collisions at tevatron and lhc energies and estimate the rapidity distribution and total cross section for z0 production in the h hto h z0 h process this is the first estimation for such a process in literature it can allow us to study for instance the physics of hadronic z0 decays in a clean environment characterized by two rapidity gaps our results indicate that the experimental analyzes of this process could be feasible in pp but the physics scenario for aa collisions is not promising | [['the', 'exclusive', 'z0', 'photoproduction', 'at', 'high', 'energies', 'in', 'gamma', 'p', 'a', 'p', 'p', 'and', 'aa', 'collisions', 'is', 'investigate', 'within', 'the', 'color', 'dipole', 'formalism', 'we', 'generalize', 'the', 'description', 'of', 'the', 'deeply', 'virtual', 'compton', 'scattering', 'dvcs', 'process', 'which', 'describe', 'quite', 'well', 'the', 'hera', 'data', 'for', 'the', 'production', 'of', 'z0', 'bosons', 'and', 'estimate', 'the', 'total', 'cross', 'section', 'for', 'the', 'exclusive', 'process', 'gamma', 'hto', 'z0', 'h', 'hpa', 'for', 'different', 'energies', 'photon', 'virtualities', 'and', 'atomic', 'numbers', 'as', 'hadrons', 'at', 'collider', 'energies', 'are', 'a', 'source', 'of', 'weizsacker', 'williams', 'photons', 'we', 'consider', 'electromagnetic', 'interactions', 'in', 'hadronhadron', 'collisions', 'at', 'tevatron', 'and', 'lhc', 'energies', 'and', 'estimate', 'the', 'rapidity', 'distribution', 'and', 'total', 'cross', 'section', 'for', 'z0', 'production', 'in', 'the', 'h', 'hto', 'h', 'z0', 'h', 'process', 'this', 'is', 'the', 'first', 'estimation', 'for', 'such', 'a', 'process', 'in', 'literature', 'it', 'can', 'allow', 'us', 'to', 'study', 'for', 'instance', 'the', 'physics', 'of', 'hadronic', 'z0', 'decays', 'in', 'a', 'clean', 'environment', 'characterized', 'by', 'two', 'rapidity', 'gaps', 'our', 'results', 'indicate', 'that', 'the', 'experimental', 'analyzes', 'of', 'this', 'process', 'could', 'be', 'feasible', 'in', 'pp', 'but', 'the', 'physics', 'scenario', 'for', 'aa', 'collisions', 'is', 'not', 'promising']] | [-0.034072555355385115, 0.22008259038055508, -0.12139058055726801, 0.16922702057776218, 0.0013251666878831797, -0.10398510832743633, 0.0034577376764513895, 0.38687193679928394, -0.22374429377919897, -0.24910224982719312, -0.07908863984128653, -0.33984774143713387, 0.06904778191913455, 0.1535335100609167, 0.10338765194227427, 0.08445016038537176, 0.12253805063397291, -0.011691150112323806, 0.017398125959035737, -0.20983650746096955, 0.2935338315778765, 0.08467340065519614, 0.21500924523737838, 0.1592378760888723, 0.022974675471075522, 0.10701645211445103, -0.04375521416442024, -0.07323966074156864, -0.15786517019024496, 0.048026038217860084, 0.32402146608707894, 0.07396002655083464, 0.15193270611437573, -0.33264139788118247, -0.09719769146571729, 0.1294905048816454, 0.16786899324774143, 0.08212357310072423, -0.0450294467663371, -0.25698428665790923, 0.07893829602325314, -0.21742376873815625, -0.1125358865708755, -0.0032928607282068194, 0.055850649730238164, -0.03989910918164827, -0.32222027013656396, 0.08704768185204045, -0.02927022950721091, 0.031055614028404326, -0.013672452585921547, -0.17474290025259914, -0.048585732557125734, 0.004658015506427692, 0.05335101835552105, 0.07269600969096966, 0.1852933397575485, -0.1695675078254921, -0.17454301334861344, 0.3941214273673022, -0.009054417000687414, -0.11393549147425969, 0.18644892187767673, -0.24497672609032142, -0.15641754941115604, 0.19127510506766796, 0.26323527393691326, 0.07305944493661325, -0.19774823399774474, 0.1590399870297058, 0.006582299852208502, 0.1192559039771514, 0.09881206201764102, 0.04266013270953199, 0.14228130725544247, 0.18547014580589943, -0.03565030944822677, 0.06706521094939939, -0.1221928625132075, -0.014710651263701677, -0.43531539554482906, -0.15808816363313855, -0.0921066186762811, 0.06793149127686816, -0.03290118529715899, -0.061931069593758846, 0.295200868948609, 0.0934824592409784, 0.31991275247780543, 0.015829691530242777, 0.308608315060793, 0.11663802109937045, 0.039380978749584586, 0.07048116490101354, 0.28915410069213515, 0.1625904346971462, 0.1554067925892599, -0.1911254799737456, 0.05091378666947585, 0.032427442365797] |
710.4288 | Controllable switching of vortex chirality in magnetic nanodisks by a
field pulse | We propose a way of fast switching the chirality in a magnetic nanodisk by
applying a field pulse. To break the symmetry with respect to clockwise or
counterclockwise chirality a mask is added by which an inhomogeneous field
influences the vortex state of a nanodisk. Using numerical spin--lattice
simulations we demonstrate that chirality can be controllably switched by a
field pulse, whose intensity is above some critical value. A mathematical
definition for the chirality of an arbitrary shaped particle is proposed.
| cond-mat.str-el | we propose a way of fast switching the chirality in a magnetic nanodisk by applying a field pulse to break the symmetry with respect to clockwise or counterclockwise chirality a mask is added by which an inhomogeneous field influences the vortex state of a nanodisk using numerical spinlattice simulations we demonstrate that chirality can be controllably switched by a field pulse whose intensity is above some critical value a mathematical definition for the chirality of an arbitrary shaped particle is proposed | [['we', 'propose', 'a', 'way', 'of', 'fast', 'switching', 'the', 'chirality', 'in', 'a', 'magnetic', 'nanodisk', 'by', 'applying', 'a', 'field', 'pulse', 'to', 'break', 'the', 'symmetry', 'with', 'respect', 'to', 'clockwise', 'or', 'counterclockwise', 'chirality', 'a', 'mask', 'is', 'added', 'by', 'which', 'an', 'inhomogeneous', 'field', 'influences', 'the', 'vortex', 'state', 'of', 'a', 'nanodisk', 'using', 'numerical', 'spinlattice', 'simulations', 'we', 'demonstrate', 'that', 'chirality', 'can', 'be', 'controllably', 'switched', 'by', 'a', 'field', 'pulse', 'whose', 'intensity', 'is', 'above', 'some', 'critical', 'value', 'a', 'mathematical', 'definition', 'for', 'the', 'chirality', 'of', 'an', 'arbitrary', 'shaped', 'particle', 'is', 'proposed']] | [-0.19999257217586777, 0.2293171934171919, -0.08939635355807381, -0.034830570705292496, -0.11172503355982495, -0.13467205212922928, 0.030375317269418802, 0.4646873134360821, -0.2816793527684094, -0.29928732014700976, 0.07048858950966624, -0.19210910896000302, -0.12331551314262604, 0.15323649834766753, -0.019198387591053308, -0.0073120763674838305, -0.03739494063466051, 0.01247338966730936, -0.05495695256697083, -0.14894713488993822, 0.2720256435058229, 0.011853171294026169, 0.2975449355687072, 0.02195085712743026, 0.11479146111710573, -0.00984380804117263, 0.1043002282809696, 0.07269555500587793, -0.08475787158996904, 0.056199416161779266, 0.142572387078501, 0.0019494236251454294, 0.23832752838454865, -0.4682932478134279, -0.1758428418227, 0.039164611891509944, 0.1893548343307626, 0.17107444056913396, -0.11604055024706471, -0.3268634215871125, 0.07441312797298585, -0.12993874252819812, -0.20053177068216932, -0.060910960406432915, 0.0034214797656822167, 0.03793466953491723, -0.30278964470612046, 0.01851961228214664, 0.07746463974673347, 0.0672125163614566, -0.04020195210605492, -0.005759151686948759, -0.06297707028204093, 0.03999221272461898, 0.05718728465625993, 0.11132021496693294, 0.1892126612322129, -0.14871930844656386, -0.17239004634550692, 0.32940903750972617, -0.06730972839818325, -0.21395115578478133, 0.05729643952814333, -0.13122154169221534, -0.014964620122846998, 0.17793455805031605, 0.11106887968533018, 0.10180934116727224, -0.11130969112532006, 0.025431940845144843, -0.049724411518301495, 0.2214474733458993, 0.08518315571141832, -0.03571086877635048, 0.29648994638320103, 0.16874082803433002, 0.10354171020128293, 0.19244683057753897, -0.11766347969037101, -0.06664177188994708, -0.26018478231573544, -0.12215690043421439, -0.2245530683869197, 0.08602211001777539, -0.08606179232743603, -0.14378291573145507, 0.4741901507900085, 0.12683115375837611, 0.1912704319969814, -0.02588105092348278, 0.28736131717623387, 0.15899097836679882, 0.0997843774219538, 0.037499795811549747, 0.24177167256093976, 0.19313262012948132, 0.09634987343056703, -0.3018696136071266, 0.032214213363872264, -0.0037544169060793925] |
710.4289 | Finite groups with an automorphism cubing a large fraction of elements | We investigate the possible structures imposed on a finite group by its
possession of an automorphism sending a large fraction of the group elements to
their cubes, the philosophy being that this should force the group to be, in
some sense, close to abelian. We prove two theorems. In the first, we
completely classify all finite groups with an automorphism cubing more than
half their elements. All such groups are either nilpotent class 2 or have an
abelian subgroup of index at most 2. For our second theorem we show that, if a
group possesses an automorphism sending more than 4/15 of its elements to their
cubes, then it must be solvable. The group A_5 shows that this result is best
possible.
Both our main findings closely parallel results of previous authors on finite
groups possessing an automorphism which inverts many group elements. The
technicalities of the new proofs are somewhat more subtle, and also throw up a
nice connection to a basic problem in combinatorial number theory, namely the
study of subsets of finite cyclic groups which avoid non-trivial solutions to
one or more translation invariant linear equations.
| math.GR math.NT | we investigate the possible structures imposed on a finite group by its possession of an automorphism sending a large fraction of the group elements to their cubes the philosophy being that this should force the group to be in some sense close to abelian we prove two theorems in the first we completely classify all finite groups with an automorphism cubing more than half their elements all such groups are either nilpotent class 2 or have an abelian subgroup of index at most 2 for our second theorem we show that if a group possesses an automorphism sending more than 415 of its elements to their cubes then it must be solvable the group a_5 shows that this result is best possible both our main findings closely parallel results of previous authors on finite groups possessing an automorphism which inverts many group elements the technicalities of the new proofs are somewhat more subtle and also throw up a nice connection to a basic problem in combinatorial number theory namely the study of subsets of finite cyclic groups which avoid nontrivial solutions to one or more translation invariant linear equations | [['we', 'investigate', 'the', 'possible', 'structures', 'imposed', 'on', 'a', 'finite', 'group', 'by', 'its', 'possession', 'of', 'an', 'automorphism', 'sending', 'a', 'large', 'fraction', 'of', 'the', 'group', 'elements', 'to', 'their', 'cubes', 'the', 'philosophy', 'being', 'that', 'this', 'should', 'force', 'the', 'group', 'to', 'be', 'in', 'some', 'sense', 'close', 'to', 'abelian', 'we', 'prove', 'two', 'theorems', 'in', 'the', 'first', 'we', 'completely', 'classify', 'all', 'finite', 'groups', 'with', 'an', 'automorphism', 'cubing', 'more', 'than', 'half', 'their', 'elements', 'all', 'such', 'groups', 'are', 'either', 'nilpotent', 'class', '2', 'or', 'have', 'an', 'abelian', 'subgroup', 'of', 'index', 'at', 'most', '2', 'for', 'our', 'second', 'theorem', 'we', 'show', 'that', 'if', 'a', 'group', 'possesses', 'an', 'automorphism', 'sending', 'more', 'than', '415', 'of', 'its', 'elements', 'to', 'their', 'cubes', 'then', 'it', 'must', 'be', 'solvable', 'the', 'group', 'a_5', 'shows', 'that', 'this', 'result', 'is', 'best', 'possible', 'both', 'our', 'main', 'findings', 'closely', 'parallel', 'results', 'of', 'previous', 'authors', 'on', 'finite', 'groups', 'possessing', 'an', 'automorphism', 'which', 'inverts', 'many', 'group', 'elements', 'the', 'technicalities', 'of', 'the', 'new', 'proofs', 'are', 'somewhat', 'more', 'subtle', 'and', 'also', 'throw', 'up', 'a', 'nice', 'connection', 'to', 'a', 'basic', 'problem', 'in', 'combinatorial', 'number', 'theory', 'namely', 'the', 'study', 'of', 'subsets', 'of', 'finite', 'cyclic', 'groups', 'which', 'avoid', 'nontrivial', 'solutions', 'to', 'one', 'or', 'more', 'translation', 'invariant', 'linear', 'equations']] | [-0.1492334976530555, 0.12432726986421994, -0.10897532019019804, 0.04538744018553564, -0.13370167567990918, -0.123684648155831, 0.03300678850922773, 0.37981750825962063, -0.32943775131374536, -0.26042320777873984, 0.14147902666110665, -0.29873917157214785, -0.11946094293571102, 0.2020669188966393, -0.12008834588119671, -0.05064697684867987, 0.00938492580489428, 0.11147203943421127, -0.09063827224742102, -0.31408633537610214, 0.35456765730860373, -0.02692869465265955, 0.20973032984695344, 0.006145125129334037, 0.06022810680476367, -0.014459617009691934, -0.035382257433541654, 0.00019487019914089055, -0.09383076913071958, 0.10704467220850308, 0.25539847561922024, 0.0648808878853858, 0.2450217951098999, -0.3911083569829032, -0.15907157667377894, 0.1804634659013972, 0.12683873020713685, 0.08214022562560064, -0.061435306527609965, -0.2584361468673383, 0.1687445141764348, -0.1875769656530961, -0.15842135012810113, -0.05803009926799744, 0.056224310805124265, -0.03075704964896585, -0.1804295031331657, -0.027175136973801754, 0.09362948533127863, 0.10279713336676073, -0.036600567797129904, -0.11515205650242039, -0.024844389805501257, 0.15161236866362512, 0.04290801861012975, 0.002776683558261505, 0.08329822470695175, -0.08138191597240549, -0.11427392293489662, 0.4316977784136143, -0.014565385457543439, -0.20513460220320634, 0.191333438269794, -0.16440431810619813, -0.1929998876189409, 0.12046279946943282, 0.10495159953891758, 0.15480016364109894, -0.07645698699351183, 0.08681002814875836, -0.12082676369223803, 0.16950765358611802, 0.06303751011866898, 0.003006778760916657, 0.11925374074449772, 0.08750652290989087, 0.11350886713529854, 0.1045737428166879, 0.06076459695521013, -0.025391709902717993, -0.32538611321616423, -0.16836292803701428, -0.11143484961970773, 0.06955995222445203, -0.11037230556428854, -0.17259482272146714, 0.392090237204222, 0.10646924968296416, 0.16308468653421318, 0.08960286659563069, 0.2333686232281031, 0.05643566173843783, 0.09849316225308313, 0.1029847609544439, 0.1442668208534886, 0.18400624006242544, -0.06466114695280022, -0.15575422326404054, 0.0037203468406996716, 0.12850331464565543] |
710.429 | Bounding dissipation in stochastic models | We generalize to stochastic dynamics the exact expression for average
dissipation along an arbitrary non-equilibrium process, given in Phys. Rev.
Lett. 98, 080602 (2007). We then derive lower bounds by various coarse-graining
procedures and illustrate how, when and where the information on the
dissipation is captured in models of over- and underdamped Brownian particles.
| cond-mat.stat-mech | we generalize to stochastic dynamics the exact expression for average dissipation along an arbitrary nonequilibrium process given in phys rev lett 98 080602 2007 we then derive lower bounds by various coarsegraining procedures and illustrate how when and where the information on the dissipation is captured in models of over and underdamped brownian particles | [['we', 'generalize', 'to', 'stochastic', 'dynamics', 'the', 'exact', 'expression', 'for', 'average', 'dissipation', 'along', 'an', 'arbitrary', 'nonequilibrium', 'process', 'given', 'in', 'phys', 'rev', 'lett', '98', '080602', '2007', 'we', 'then', 'derive', 'lower', 'bounds', 'by', 'various', 'coarsegraining', 'procedures', 'and', 'illustrate', 'how', 'when', 'and', 'where', 'the', 'information', 'on', 'the', 'dissipation', 'is', 'captured', 'in', 'models', 'of', 'over', 'and', 'underdamped', 'brownian', 'particles']] | [-0.05402277268607308, 0.1378786838163419, -0.06063926280303686, -0.009600519565740089, -0.022766630432602984, -0.11260263325163612, 0.08483078430786177, 0.32153867224783256, -0.17345110569752892, -0.34026851872396136, 0.01083759788889438, -0.2402366053795925, -0.2075406037253776, 0.24521280946296262, -0.1439302524474139, 0.03865801397262624, 0.021259684012167983, -0.0011320562895249437, -0.029603289095339953, -0.2785779568884108, 0.1634761002863309, 0.09901584790053743, 0.2774821369287868, 0.08398631820024026, 0.1450214107969293, 0.05476226400652969, -0.026929185742995253, -0.013493511687826228, -0.28207262083715584, 0.03490357459695251, 0.17956559908775993, 0.07820011621030669, 0.24584464487378244, -0.48133140516087963, -0.22708939024488684, 0.1002992864491211, 0.13371297195327417, 0.14750047121196985, 0.060804688619639446, -0.34918658890657955, 0.01897932798170519, -0.20095837147285542, -0.07230201135906908, -0.1311067091646018, 0.1349306310078612, 0.05827971977285213, -0.31569039604316157, 0.18276491333489064, 0.08902815001568308, 0.0638805942920347, -0.044989575649163234, -0.03226699273067492, -0.008906233859576148, 0.025345405467238312, -0.018351003681783804, -0.007638901698454801, 0.16262838984322217, -0.08206471383002484, -0.13554061593108432, 0.29879525058937295, -0.09079460434494885, -0.2703016801840729, 0.21374545128222694, -0.12187273897817014, -0.12624919026469192, 0.11224109366432661, 0.20181213531436193, 0.14012261461983952, -0.23074482597493678, 0.12448892445859706, -0.02030614020164918, 0.0771648248795558, 0.10987564919654418, -0.0016879926793922936, 0.1281081286465956, 0.09284395305008662, 0.008379156925474052, 0.17299670974413553, -0.0906443041878649, -0.20125307249664157, -0.31839149783330933, -0.15967430845894678, -0.2079583810797582, 0.08412713470817026, -0.07811391146565762, -0.0787570430806631, 0.3565053444148766, 0.22418545152026195, 0.2282610707140217, 0.07907620558722152, 0.2513439784395612, 0.16679685647357945, -0.1100565360220908, 0.19587577391346847, 0.18452687385595506, 0.17532812152489055, 0.057849203596426244, -0.2229953944614088, 0.02471491195157998, 0.06257616571599135] |
710.4291 | A Class of Monotonic Quantities along the Ricci Flow | We construct a class of monotonic quantities along the normalized Ricci flow
on closed n-dimensional manifolds.
| math.DG math.AP | we construct a class of monotonic quantities along the normalized ricci flow on closed ndimensional manifolds | [['we', 'construct', 'a', 'class', 'of', 'monotonic', 'quantities', 'along', 'the', 'normalized', 'ricci', 'flow', 'on', 'closed', 'ndimensional', 'manifolds']] | [-0.27193521661683917, 0.09769010992022231, -0.07175872894003987, 0.07916425389703363, -0.09977535391226411, -0.14564629687811248, -0.12553407135419548, 0.4063993003219366, -0.2668120698072016, -0.0967416763305664, 0.10008143926097546, -0.3445807747775689, -0.11203092096548062, 0.2176247527822852, -0.13654269208200276, 0.0615676324814558, 0.05026869219727814, 0.1598043633857742, -0.159038771642372, -0.18661001024884172, 0.4805120197124779, -0.12388943322002888, 0.2879496568348259, 0.08189753897022456, 0.23174166679382324, -0.09433090800303034, 0.0015509933582507074, 0.1557144928665366, -0.34282409556908533, 0.14272537361830473, 0.1778292338422034, 0.06987483621924184, 0.15672247559996322, -0.3451680261641741, -0.25028302147984505, 0.24144130828790367, 0.14905194856692106, -0.009632766712456942, -0.012524551282695029, -0.2492006338434294, 0.03792413364863023, -0.03736509697046131, -0.20700458838473423, -0.09838906460208818, 0.011250862036831677, 0.049981551768723875, -0.19506212533451617, 0.05696121748769656, 0.09956430993042886, 0.08523529884405434, -0.13345974776893854, -0.05809060577303171, -0.09454826079308987, 0.04725434185820632, 0.00802112661767751, 0.08634192877798341, 0.1764031773491297, -0.010099512641318142, -0.0381705624749884, 0.2464571597520262, -0.22185025527141988, -0.3743751292640809, 0.03466065903194249, -0.028754708939231932, -0.14661088137654588, 0.10359579604119062, 0.27553409652318805, 0.26314275758340955, -0.08797143578703981, 0.1197039733233396, -0.10869765211828053, 0.04629296052735299, 0.0674250625888817, -0.03368234261870384, 0.183095765998587, -0.002096115000313148, 0.18315731862094253, 0.22181988615193404, 0.019396808100282215, -0.200920817325823, -0.4094208776950836, -0.21878474042750895, -0.12548746156971902, 0.23828774876892567, -0.18847137095872313, -0.24856891471426934, 0.4295971192768775, -0.08621303644031286, 0.2325963967014104, 0.2535957655054517, 0.21861511678434908, 0.05318063200684264, 0.03634691541083157, 0.21812866255640984, 0.11887887166813016, 0.24487484793644398, 0.0887453647737857, -0.13732576509937644, -0.057083647028775886, 0.2240739872213453] |
710.4292 | Mesons in marginally deformed AdS/CFT | We study the embedding of spacetime filling D7-branes in beta-deformed
backgrounds which, according to the AdS/CFT dictionary, corresponds to
flavoring beta-deformed N=4 super Yang-Mills. We consider supersymmetric and
more general non-supersymmetric three parameter deformations. The equations of
motion for quadratic fluctuations of a probe D7-brane wrapped on a deformed
three-sphere exhibit a non-trivial coupling between scalar and vector modes
induced by the deformation. Nevertheless, we manage to solve them analytically
and find that the mesonic mass spectrum is discrete, with a mass gap and a
Zeeman-like splitting occurs. Finally we propose the action for the dual field
theory as obtained by star-product deformation of super Yang-Mills with
fundamental matter.
| hep-th | we study the embedding of spacetime filling d7branes in betadeformed backgrounds which according to the adscft dictionary corresponds to flavoring betadeformed n4 super yangmills we consider supersymmetric and more general nonsupersymmetric three parameter deformations the equations of motion for quadratic fluctuations of a probe d7brane wrapped on a deformed threesphere exhibit a nontrivial coupling between scalar and vector modes induced by the deformation nevertheless we manage to solve them analytically and find that the mesonic mass spectrum is discrete with a mass gap and a zeemanlike splitting occurs finally we propose the action for the dual field theory as obtained by starproduct deformation of super yangmills with fundamental matter | [['we', 'study', 'the', 'embedding', 'of', 'spacetime', 'filling', 'd7branes', 'in', 'betadeformed', 'backgrounds', 'which', 'according', 'to', 'the', 'adscft', 'dictionary', 'corresponds', 'to', 'flavoring', 'betadeformed', 'n4', 'super', 'yangmills', 'we', 'consider', 'supersymmetric', 'and', 'more', 'general', 'nonsupersymmetric', 'three', 'parameter', 'deformations', 'the', 'equations', 'of', 'motion', 'for', 'quadratic', 'fluctuations', 'of', 'a', 'probe', 'd7brane', 'wrapped', 'on', 'a', 'deformed', 'threesphere', 'exhibit', 'a', 'nontrivial', 'coupling', 'between', 'scalar', 'and', 'vector', 'modes', 'induced', 'by', 'the', 'deformation', 'nevertheless', 'we', 'manage', 'to', 'solve', 'them', 'analytically', 'and', 'find', 'that', 'the', 'mesonic', 'mass', 'spectrum', 'is', 'discrete', 'with', 'a', 'mass', 'gap', 'and', 'a', 'zeemanlike', 'splitting', 'occurs', 'finally', 'we', 'propose', 'the', 'action', 'for', 'the', 'dual', 'field', 'theory', 'as', 'obtained', 'by', 'starproduct', 'deformation', 'of', 'super', 'yangmills', 'with', 'fundamental', 'matter']] | [-0.14136078897030563, 0.2032119314188411, -0.07589789030543707, 0.1128904616103482, -0.0886115413928114, -0.16019593775186927, -0.026353188385597404, 0.3209344682480217, -0.1846128862624595, -0.2622541922524811, 0.06515509446489053, -0.25138331271618297, -0.197348930390227, 0.0685479751694093, -0.05200905891331853, 0.019878407440430255, -0.007902738817651337, 0.06939401197324105, -0.15348061975711152, -0.19665774211197784, 0.3681029026704165, -0.008065363763908455, 0.2602289870654771, 0.02980991058188294, 0.1215040235728914, 0.02378229343187098, 0.022383008197103756, 0.026538303119187572, -0.15487736230535878, 0.1383569476903852, 0.22980754084269936, 0.033018013387662144, 0.1177273258447237, -0.4324147087274068, -0.20591330633353477, 0.09005262879996535, 0.17223529555245276, 0.13845551818707497, -0.017739497133292505, -0.27735944808281343, 0.03594672735759117, -0.18434309487769363, -0.1781138151183451, -0.10968341266548415, 0.012852739659138024, -0.11797365861081886, -0.266179861456002, 0.08292632860157194, -0.011434531164005262, -0.010788254098061029, -0.058837289708333275, -0.034899213256254585, -0.08562563725644637, 0.04707074926422755, 0.1300261923659808, 0.05349874969170249, 0.15323847158461673, -0.20924364711764618, -0.115143287180359, 0.360444155141472, -0.09233688908990113, -0.24360427068366985, 0.12205784978054532, -0.1355223573846828, -0.1522289575376642, 0.0987035892562035, 0.15842420034486493, 0.15866819252217307, -0.10383721989570954, 0.21411525586154312, -0.02735789978039374, 0.12245117549126575, 0.13220619711033796, 0.02866720025686103, 0.25948830135166645, 0.13712791516659184, 0.05830166571765044, 0.19150985936301018, -0.046532921835090196, -0.1408821834687041, -0.3832158238985875, -0.11648330944291221, -0.0950541569928237, 0.11968199544214567, -0.14545746944329932, -0.18140528878248338, 0.36525714409712773, 0.06007857288345011, 0.20519238731977657, 0.05631590280532324, 0.19126838280332334, 0.11127237054207491, 0.06646112574599769, 0.04524293138459752, 0.2640171503186773, 0.21233571235756946, 0.0608038987949773, -0.30065919667986485, -0.21103803087837583, 0.19346663697169872] |
710.4293 | On the flavor structure of the littlest Higgs model | We investigate the Yukawa sector for up-like quarks in the Lee's version of
the Littlest Higgs model. We derive general quark mass and mixing formulae and
study leading order contributions due to non-zero light quark masses. Relying
on the unitarity of the generalized quark mixing matrix we obtain corrections
to the CKM matrix elements. In this model FCNCs appear at the tree level and
using leading order contributions we obtain the FCNC couplings for the up-like
quark transitions. In light of recent experimental results on the D0 - D0bar
transition we make predictions for xD as well as the D to mu+ mu- decay rate.
Finally, we discuss probabilities for the t to c (u) Z transitions relevant for
the LHC studies.
| hep-ph | we investigate the yukawa sector for uplike quarks in the lees version of the littlest higgs model we derive general quark mass and mixing formulae and study leading order contributions due to nonzero light quark masses relying on the unitarity of the generalized quark mixing matrix we obtain corrections to the ckm matrix elements in this model fcncs appear at the tree level and using leading order contributions we obtain the fcnc couplings for the uplike quark transitions in light of recent experimental results on the d0 d0bar transition we make predictions for xd as well as the d to mu mu decay rate finally we discuss probabilities for the t to c u z transitions relevant for the lhc studies | [['we', 'investigate', 'the', 'yukawa', 'sector', 'for', 'uplike', 'quarks', 'in', 'the', 'lees', 'version', 'of', 'the', 'littlest', 'higgs', 'model', 'we', 'derive', 'general', 'quark', 'mass', 'and', 'mixing', 'formulae', 'and', 'study', 'leading', 'order', 'contributions', 'due', 'to', 'nonzero', 'light', 'quark', 'masses', 'relying', 'on', 'the', 'unitarity', 'of', 'the', 'generalized', 'quark', 'mixing', 'matrix', 'we', 'obtain', 'corrections', 'to', 'the', 'ckm', 'matrix', 'elements', 'in', 'this', 'model', 'fcncs', 'appear', 'at', 'the', 'tree', 'level', 'and', 'using', 'leading', 'order', 'contributions', 'we', 'obtain', 'the', 'fcnc', 'couplings', 'for', 'the', 'uplike', 'quark', 'transitions', 'in', 'light', 'of', 'recent', 'experimental', 'results', 'on', 'the', 'd0', 'd0bar', 'transition', 'we', 'make', 'predictions', 'for', 'xd', 'as', 'well', 'as', 'the', 'd', 'to', 'mu', 'mu', 'decay', 'rate', 'finally', 'we', 'discuss', 'probabilities', 'for', 'the', 't', 'to', 'c', 'u', 'z', 'transitions', 'relevant', 'for', 'the', 'lhc', 'studies']] | [-0.07279423734727354, 0.24181685334559547, -0.01764101659386488, 0.13588857265431742, -0.04278872389931324, -0.14223132434893737, 0.13660452474093387, 0.301287014406821, -0.20370210263270053, -0.2290163362044687, 0.020656236519552153, -0.31686478905564497, -0.046041316387420594, 0.08083625377756197, 0.05005571319844789, 0.09906764313086006, 0.051564471424780475, 0.005806315490160106, -0.10030702349906864, -0.2198022812612601, 0.3239422043215884, -0.03679441917429809, 0.17491652498652865, 0.17239224463547312, 0.016262263837001047, -0.0066114275731638935, -0.0620502048087391, -0.11778572663541667, -0.1874360200441019, 0.052362510022391714, 0.16397645213248685, 0.05133443824131011, 0.05759736587685987, -0.34381908012076845, -0.10043720272754526, 0.1521579154540038, 0.10819177760565576, 0.13610143950478412, -0.028932052112207556, -0.31807275496669546, 0.091066390999462, -0.20822040586586088, -0.13979847314729055, -0.12171338558243203, -0.0015231998568046685, -0.09596059367653322, -0.41172284918475494, 0.07068617668480051, -0.041420782733446924, -0.014655191951608363, 0.05280150314562084, -0.24278160797774576, -0.03047489816484557, 0.06459449238551795, 0.14152880909483234, 0.04737076251349058, 0.12135171625101246, -0.16848370930649464, -0.15317141072255028, 0.42634555403420255, -0.14973122834791774, -0.1708417495170008, 0.14216670794181588, -0.21362957146696068, -0.16947936159674049, 0.05955059879097687, 0.24420768031773488, 0.07137947707304208, -0.1645435005164713, 0.17890816498095602, -0.00885913867026198, 0.12961423490966154, 0.07896963095923593, 0.050991286876253504, 0.19124364305272207, 0.17822917870222782, 0.0037914170298633003, 0.05574674110220791, -0.06574014639327964, -0.07457942234290656, -0.41131424255792265, -0.12487507414857833, -0.058686460535742405, 0.05175898134061867, -0.10187287534135375, -0.09732684139008364, 0.40548172867125715, 0.15317785864588152, 0.26826368356970226, 0.06275117460422772, 0.26653732552023773, 0.12447450356365543, 0.06344397647464109, 0.04405561514768349, 0.28119468038193574, 0.22828153648590746, 0.12701228726017846, -0.2654086172442175, 0.03043012364915657, 0.1484132360489962] |
710.4294 | Long-Term Collisional Evolution of Debris Disks | We simulated the long-term collisional depletion of debris disks around
solar-type (G2V) stars with our code. The numerical results were supplemented
by, and interpreted through, a new analytic model. A few general scaling rules
for the disk evolution are suggested. The timescale of the collisional
evolution is inversely proportional to the initial disk mass and scales with
radial distance as r^4.3 and with eccentricities of planetesimals as e^-2.3.
Further, we show that at actual ages of debris disks between 10 Myr and 10 Gyr,
the decay of the dust mass and the total disk mass follow different laws. The
reason is that the collisional lifetime of planetesimals is size-dependent. At
any moment, there exists a transitional size, which separates larger objects
that still have the ``primordial'' size distribution set in the growth phase
from small objects whose size distribution is already set by disruptive
collisions. The dust mass and its decay rate evolve as that transition affects
objects of ever-larger sizes. Under standard assumptions, the dust mass,
fractional luminosity, and thermal fluxes all decrease as t^xi with xi =
-0.3...-0.4. Specific decay laws of the total disk mass and the dust mass,
including the value of xi, largely depend on a few model parameters, such as
the critical fragmentation energy as a function of size, the primordial size
distribution of largest planetesimals, as well as the characteristic
eccentricity and inclination of their orbits. With standard material
prescriptions and a distribution of disk masses and extents, a synthetic
population of disks generated with our analytic model agrees quite well with
the observed Spitzer/MIPS statistics of 24 and 70 micron fluxes and colors
versus age.
| astro-ph | we simulated the longterm collisional depletion of debris disks around solartype g2v stars with our code the numerical results were supplemented by and interpreted through a new analytic model a few general scaling rules for the disk evolution are suggested the timescale of the collisional evolution is inversely proportional to the initial disk mass and scales with radial distance as r43 and with eccentricities of planetesimals as e23 further we show that at actual ages of debris disks between 10 myr and 10 gyr the decay of the dust mass and the total disk mass follow different laws the reason is that the collisional lifetime of planetesimals is sizedependent at any moment there exists a transitional size which separates larger objects that still have the primordial size distribution set in the growth phase from small objects whose size distribution is already set by disruptive collisions the dust mass and its decay rate evolve as that transition affects objects of everlarger sizes under standard assumptions the dust mass fractional luminosity and thermal fluxes all decrease as txi with xi 0304 specific decay laws of the total disk mass and the dust mass including the value of xi largely depend on a few model parameters such as the critical fragmentation energy as a function of size the primordial size distribution of largest planetesimals as well as the characteristic eccentricity and inclination of their orbits with standard material prescriptions and a distribution of disk masses and extents a synthetic population of disks generated with our analytic model agrees quite well with the observed spitzermips statistics of 24 and 70 micron fluxes and colors versus age | [['we', 'simulated', 'the', 'longterm', 'collisional', 'depletion', 'of', 'debris', 'disks', 'around', 'solartype', 'g2v', 'stars', 'with', 'our', 'code', 'the', 'numerical', 'results', 'were', 'supplemented', 'by', 'and', 'interpreted', 'through', 'a', 'new', 'analytic', 'model', 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710.4295 | Partial Differential system in two variables with
$W(D_6^{(1)})$-symmetry and the Garnier system in two variables | In this note, we will compare the Garnier system in two variables with
four-dimensional partial differential system in two variables with
$W(D_6^{(1)})$-symmetry. Both systems are different in each compactification in
the variables $q_1,q_2$, however, has same five holomorphy conditions in the
variables $p_1,p_2$.
| math.AG math.CA | in this note we will compare the garnier system in two variables with fourdimensional partial differential system in two variables with wd_61symmetry both systems are different in each compactification in the variables q_1q_2 however has same five holomorphy conditions in the variables p_1p_2 | [['in', 'this', 'note', 'we', 'will', 'compare', 'the', 'garnier', 'system', 'in', 'two', 'variables', 'with', 'fourdimensional', 'partial', 'differential', 'system', 'in', 'two', 'variables', 'with', 'wd_61symmetry', 'both', 'systems', 'are', 'different', 'in', 'each', 'compactification', 'in', 'the', 'variables', 'q_1q_2', 'however', 'has', 'same', 'five', 'holomorphy', 'conditions', 'in', 'the', 'variables', 'p_1p_2']] | [-0.23832433369188083, 0.11358486785597745, -0.07789521059021354, 0.04216875298602861, -0.018708555155345016, -0.12118365562387876, -0.05024335903692104, 0.33645364535706385, -0.2505365163087845, -0.2568706854279818, 0.1472690392762334, -0.30663208033712136, -0.12801432325726464, 0.14992560064863591, -0.14820513217931702, 0.05336795665235037, 0.026942278713076598, 0.05475313370559542, -0.12074818116213594, -0.31925759974512313, 0.40311179713656503, -0.15896449493066894, 0.1843075899495965, -0.09733527818960803, 0.10703280422880891, -0.00598478474698606, -0.034071498550474644, 0.007642263857026895, -0.09019237304372447, 0.02892373150791086, 0.27445746106760843, 0.12766424460070475, 0.22303364607727244, -0.4231143043420854, -0.14181276787782, 0.10797036274535847, 0.1765782889311335, 0.06610063982329198, 0.06508209361206918, -0.21899381559342146, 0.01637742304730983, -0.1322994146584755, -0.11843207159212657, -0.050406977179504577, 0.061781271416250436, 0.08852980038361802, -0.2747155999809149, 0.02122267750313594, 0.022831428396914686, 0.09816636318629164, -0.1140597757184878, -0.14979307368464237, -0.056418085271226506, 0.0857003221643113, 0.08605498086572402, -0.0006214191893204337, 0.012223186536825128, -0.10172552120361832, -0.1319915728554839, 0.3406212792864868, -0.07975215601202633, -0.31360286403269994, 0.22459157999782337, -0.25320891561430126, -0.2633495130687065, 0.0739750269124107, 0.14536403712727838, 0.1418400988692329, -0.23655429180888904, 0.11383299465246853, -0.0649487325045768, 0.14781636154899994, 0.07301237011727478, 0.05436448105389163, 0.1598769164910274, 0.12778485411157212, 0.03291351640863078, 0.13519450800404662, -0.007048046937034954, -0.12271170345948554, -0.3310277566668533, -0.17275175110747418, -0.08034313210685338, 0.0015122599766722747, -0.14793812084202987, -0.09062662465675246, 0.37697309991788297, 0.15272156211237112, 0.2226318715228921, -0.008436583669944889, 0.2082190271134355, 0.11833320487113226, 0.010631764839802469, 0.04472851167832102, 0.20119570878644785, 0.12227276486477681, 0.10785218603199437, -0.17302841260763152, -0.015260340856565606, 0.08442174827325202] |
710.4296 | Determining the WIMP Mass from Direct Dark Matter Detection Data | Weakly interacting massive particles (WIMPs) are one of the leading
candidates for Dark Matter. So far we can use direct Dark Matter detection to
estimate the mass of halo WIMPs only by fitting predicted recoil spectra to
future experimental data. Here we develop a model-independent method for
determining the WIMP mass by using experimental data directly. This method is
independent of the as yet unknown WIMP density near the Earth as well as of the
WIMP-nuclear cross section and can be used to extract information about WIMP
mass with O(50) events.
| hep-ph astro-ph | weakly interacting massive particles wimps are one of the leading candidates for dark matter so far we can use direct dark matter detection to estimate the mass of halo wimps only by fitting predicted recoil spectra to future experimental data here we develop a modelindependent method for determining the wimp mass by using experimental data directly this method is independent of the as yet unknown wimp density near the earth as well as of the wimpnuclear cross section and can be used to extract information about wimp mass with o50 events | [['weakly', 'interacting', 'massive', 'particles', 'wimps', 'are', 'one', 'of', 'the', 'leading', 'candidates', 'for', 'dark', 'matter', 'so', 'far', 'we', 'can', 'use', 'direct', 'dark', 'matter', 'detection', 'to', 'estimate', 'the', 'mass', 'of', 'halo', 'wimps', 'only', 'by', 'fitting', 'predicted', 'recoil', 'spectra', 'to', 'future', 'experimental', 'data', 'here', 'we', 'develop', 'a', 'modelindependent', 'method', 'for', 'determining', 'the', 'wimp', 'mass', 'by', 'using', 'experimental', 'data', 'directly', 'this', 'method', 'is', 'independent', 'of', 'the', 'as', 'yet', 'unknown', 'wimp', 'density', 'near', 'the', 'earth', 'as', 'well', 'as', 'of', 'the', 'wimpnuclear', 'cross', 'section', 'and', 'can', 'be', 'used', 'to', 'extract', 'information', 'about', 'wimp', 'mass', 'with', 'o50', 'events']] | [-0.024127842570593642, 0.18601345290829027, -0.11766392573878005, 0.1526331253411187, -0.12278870174886433, -0.09154360806364771, 0.020030449543680464, 0.3343337351394879, -0.18796855165715237, -0.4152081249599028, 0.03778162344798937, -0.3283319506221093, -0.01605121880209401, 0.2019220525910566, 0.04858907687754094, 0.07938719629105385, 0.04586150700505151, 0.08069286228331564, -0.039257943886076355, -0.22747143781692772, 0.28166438902697555, 0.10921226363055982, 0.14883118249209865, 0.06563179805659904, 0.10475987383512432, 0.030030154121609833, -0.06297470849252991, -0.07322128987001193, -0.1477397958601564, 0.09559617681265041, 0.267269847881315, 0.13604389359094496, 0.10496017398762998, -0.371036011459572, -0.2129527252617773, 0.17808920068533293, 0.2177336623145083, 0.1155001747199324, -0.1199775717776412, -0.3492313245884501, 0.07158133632869326, -0.2275388939766684, -0.12496531609404873, -0.0805014069243283, -0.014581924294131798, -0.01522669203420794, -0.2585556543135381, 0.15680761215696623, -0.07848290512517381, -0.07186156313784503, -0.0613090323826687, -0.146506115343872, -0.007472139611778842, 0.025142117168058406, 0.09584197392789545, -0.0195262620217873, 0.28991504530882933, -0.17426575329103558, -0.07768227566279225, 0.4088660730151357, -0.11909964672228383, -0.14681385648897388, 0.1873871880547645, -0.13872512045142416, -0.12668024855768206, 0.16268470494465515, 0.20092156420942847, 0.11916134519065004, -0.22591743263119196, 0.03506005781505687, -0.0682949160064499, 0.18930386078472322, 0.044062641802356466, 0.018255972922626106, 0.35218840404567153, 0.23764649022288703, 0.07146172206030114, -0.016440769131704756, -0.1807754330521265, 0.005395905559902991, -0.2980711696526179, -0.14624558414772645, -0.1891057637346151, -0.001273763882876425, -0.030916102663748182, -0.09192745277279435, 0.3037080091762019, 0.16532880247949244, 0.25650867444954323, 0.02606485729044365, 0.36230604883262907, 0.0881602015144161, 0.05607999044030414, 0.019036240517519988, 0.35514070204162335, 0.16102759399359207, 0.03987170244147489, -0.1582293120970192, 0.03581600242222731, -0.022408326051535678] |
710.4297 | Asymptotics and singularities in cosmological models with positive
cosmological constant | This thesis is concerned with global properties of those cosmological
solutions of Einstein's field equations which obey accelerated expansion into
the future driven by a non-vanishing cosmological constant, as suggested by
current cosmological observations. In particular, the strong cosmic censorship
and BKL conjecture are investigated in special classes of spacetimes. For this,
a new numerical technique based on spectral methods is introduced to be able to
deal with situations where the spatial topology is non-trivial from the
numerical point of view, such as the 3-sphere. Therefor, an explicit spectral
regularization at the - in single patch approaches inevitable - coordinate
singularities is worked out. After having collected the necessary background
material, including a description of the problems of interest, we discuss the
method and its implementation. Then we perform various tests, in particular
also in the presence of cosmological singularities. After that, the numerical
method is applied to obtain insights into three open issues in mathematical
cosmology: first, we make an attempt to describe the singularity structure in
Gowdy spacetimes with positive cosmological constants with spatial 3-sphere and
those with spatial 3-torus topology. Second, we perform a stability analysis of
Gowdy symmetry within the class of U(1)-symmetric spacetimes for spatial
3-sphere topology. Third, we make a preliminary analysis of the behavior of
certain $\lambda$-Taub-NUT Cauchy horizons under Gowdy perturbations. Finally,
we summarize the current status and open problems, and give an outlook.
| gr-qc | this thesis is concerned with global properties of those cosmological solutions of einsteins field equations which obey accelerated expansion into the future driven by a nonvanishing cosmological constant as suggested by current cosmological observations in particular the strong cosmic censorship and bkl conjecture are investigated in special classes of spacetimes for this a new numerical technique based on spectral methods is introduced to be able to deal with situations where the spatial topology is nontrivial from the numerical point of view such as the 3sphere therefor an explicit spectral regularization at the in single patch approaches inevitable coordinate singularities is worked out after having collected the necessary background material including a description of the problems of interest we discuss the method and its implementation then we perform various tests in particular also in the presence of cosmological singularities after that the numerical method is applied to obtain insights into three open issues in mathematical cosmology first we make an attempt to describe the singularity structure in gowdy spacetimes with positive cosmological constants with spatial 3sphere and those with spatial 3torus topology second we perform a stability analysis of gowdy symmetry within the class of u1symmetric spacetimes for spatial 3sphere topology third we make a preliminary analysis of the behavior of certain lambdataubnut cauchy horizons under gowdy perturbations finally we summarize the current status and open problems and give an outlook | [['this', 'thesis', 'is', 'concerned', 'with', 'global', 'properties', 'of', 'those', 'cosmological', 'solutions', 'of', 'einsteins', 'field', 'equations', 'which', 'obey', 'accelerated', 'expansion', 'into', 'the', 'future', 'driven', 'by', 'a', 'nonvanishing', 'cosmological', 'constant', 'as', 'suggested', 'by', 'current', 'cosmological', 'observations', 'in', 'particular', 'the', 'strong', 'cosmic', 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-0.02439005920086461, 0.08421083200474917] |
710.4298 | Two-Parameter Scaling of Microwave Rectification vs Microwave Power at
the Boundary between Two-Dimensional Electron Systems | We report measurements of the rectification of microwave radiation (0.7-20
GHz) at the boundary between two-dimensional electron systems separated by a
narrow gap on a silicon surface for different temperatures, electron densities
and microwave power. For frequencies above 4 GHz and different temperatures,
the rectified voltage V_{dc} as a function of microwave power P can be scaled
onto a single universal curve V*_{dc}=f*(P*). The scaled voltage is a linear
function of power, V*_{dc} ~ P* for small power and proportional to P*^{1/2} at
higher power. A theory is proposed that attributes the rectification to the
thermoelectric response due to strong local overheating by the microwave
radiation at the boundary between two dissimilar 2D metals. Excellent agreement
is obtained between theory and experiment.
| cond-mat.str-el | we report measurements of the rectification of microwave radiation 0720 ghz at the boundary between twodimensional electron systems separated by a narrow gap on a silicon surface for different temperatures electron densities and microwave power for frequencies above 4 ghz and different temperatures the rectified voltage v_dc as a function of microwave power p can be scaled onto a single universal curve v_dcfp the scaled voltage is a linear function of power v_dc p for small power and proportional to p12 at higher power a theory is proposed that attributes the rectification to the thermoelectric response due to strong local overheating by the microwave radiation at the boundary between two dissimilar 2d metals excellent agreement is obtained between theory and experiment | [['we', 'report', 'measurements', 'of', 'the', 'rectification', 'of', 'microwave', 'radiation', '0720', 'ghz', 'at', 'the', 'boundary', 'between', 'twodimensional', 'electron', 'systems', 'separated', 'by', 'a', 'narrow', 'gap', 'on', 'a', 'silicon', 'surface', 'for', 'different', 'temperatures', 'electron', 'densities', 'and', 'microwave', 'power', 'for', 'frequencies', 'above', '4', 'ghz', 'and', 'different', 'temperatures', 'the', 'rectified', 'voltage', 'v_dc', 'as', 'a', 'function', 'of', 'microwave', 'power', 'p', 'can', 'be', 'scaled', 'onto', 'a', 'single', 'universal', 'curve', 'v_dcfp', 'the', 'scaled', 'voltage', 'is', 'a', 'linear', 'function', 'of', 'power', 'v_dc', 'p', 'for', 'small', 'power', 'and', 'proportional', 'to', 'p12', 'at', 'higher', 'power', 'a', 'theory', 'is', 'proposed', 'that', 'attributes', 'the', 'rectification', 'to', 'the', 'thermoelectric', 'response', 'due', 'to', 'strong', 'local', 'overheating', 'by', 'the', 'microwave', 'radiation', 'at', 'the', 'boundary', 'between', 'two', 'dissimilar', '2d', 'metals', 'excellent', 'agreement', 'is', 'obtained', 'between', 'theory', 'and', 'experiment']] | [-0.14571967491259177, 0.1645343196898466, -0.02129036720143631, -0.003505654913412097, -0.001404367561917752, -0.19403835512542475, 0.050620935587600495, 0.3751723572301368, -0.26994205615483224, -0.31366893555969, 0.007712051408210148, -0.326332236515979, -0.060900550646086536, 0.2814775115364076, 0.010822624472590784, 0.055088508839253335, -0.053790937674542266, -0.04780219114715389, -0.08715177109697833, -0.13873881439406735, 0.24725881225119034, 0.11035243363585323, 0.3525960138057902, 0.07973337104388824, 0.11023689509214213, -0.0520780554972589, 0.06278044501814292, 0.060029344245170556, -0.10296792880623494, 0.05296515275646622, 0.2734873404415945, -0.03930576613250499, 0.21488500302657484, -0.41679659745811176, -0.2097744773568896, 0.07767693044540162, 0.045160659773197644, 0.06364660986776774, -0.02960587333557972, -0.18581050367016966, 0.10208202285381655, -0.140694837559325, -0.09802802464109846, 0.004137635719962418, 0.02749959329764048, 0.04350472087195764, -0.2831785468501039, 0.11588276824525869, 0.02453647606210628, 0.06721697580069304, -0.052490674836250646, -0.09469614093347142, -0.04317777695056672, 0.06854916532805268, -0.04080026060303984, 0.05020397937623784, 0.1880416725296527, -0.11044767288693341, -0.07250690637156368, 0.30738051469282557, -0.10491679433810835, -0.0985405983888389, 0.18149251819898685, -0.21112964783484736, -0.023690725783429418, 0.15075604018444816, 0.15246013249852694, 0.044398125462854904, -0.1425950578103463, 0.053926683417133366, 0.01000612709322013, 0.1913133177906275, 0.12890882865370562, 0.03838278606168994, 0.2933908242926312, 0.12523632807812343, 0.06033715310816964, 0.14998010494649255, -0.11409511013674395, 0.03364342496885608, -0.28565847179076326, -0.08402435043244623, -0.22975858527546128, 0.09708641196290652, -0.10850821476148363, -0.13119926955162858, 0.4193869488274989, 0.09407513613890235, 0.2201405196916312, 0.021872943474833543, 0.35359619377801815, 0.18158164319077816, 0.05636201590532437, 0.037514943109514816, 0.24362885787389435, 0.16643143098335714, 0.12848544492929553, -0.2842069808510132, -0.008621707876833777, -0.011505505487245197] |
710.4299 | Stationary untrapped boundary conditions in general relativity | A class of boundary conditions for canonical general relativity are proposed
and studied at the quasi-local level. It is shown that for untrapped or
marginal surfaces, fixing the area element on the 2-surface (rather than the
induced 2-metric) and the angular momentum surface density is enough to have a
functionally differentiable Hamiltonian, thus providing definition of conserved
quantities for the quasi-local regions. If on the boundary the evolution vector
normal to the 2-surface is chosen to be proportional to the dual expansion
vector, we obtain a generalization of the Hawking energy associated with a
generalized Kodama vector. This vector plays the role for the stationary
untrapped boundary conditions which the stationary Killing vector plays for
stationary black holes. When the dual expansion vector is null, the boundary
conditions reduce to the ones given by the non-expanding horizons and the null
trapping horizons.
| gr-qc | a class of boundary conditions for canonical general relativity are proposed and studied at the quasilocal level it is shown that for untrapped or marginal surfaces fixing the area element on the 2surface rather than the induced 2metric and the angular momentum surface density is enough to have a functionally differentiable hamiltonian thus providing definition of conserved quantities for the quasilocal regions if on the boundary the evolution vector normal to the 2surface is chosen to be proportional to the dual expansion vector we obtain a generalization of the hawking energy associated with a generalized kodama vector this vector plays the role for the stationary untrapped boundary conditions which the stationary killing vector plays for stationary black holes when the dual expansion vector is null the boundary conditions reduce to the ones given by the nonexpanding horizons and the null trapping horizons | [['a', 'class', 'of', 'boundary', 'conditions', 'for', 'canonical', 'general', 'relativity', 'are', 'proposed', 'and', 'studied', 'at', 'the', 'quasilocal', 'level', 'it', 'is', 'shown', 'that', 'for', 'untrapped', 'or', 'marginal', 'surfaces', 'fixing', 'the', 'area', 'element', 'on', 'the', '2surface', 'rather', 'than', 'the', 'induced', '2metric', 'and', 'the', 'angular', 'momentum', 'surface', 'density', 'is', 'enough', 'to', 'have', 'a', 'functionally', 'differentiable', 'hamiltonian', 'thus', 'providing', 'definition', 'of', 'conserved', 'quantities', 'for', 'the', 'quasilocal', 'regions', 'if', 'on', 'the', 'boundary', 'the', 'evolution', 'vector', 'normal', 'to', 'the', '2surface', 'is', 'chosen', 'to', 'be', 'proportional', 'to', 'the', 'dual', 'expansion', 'vector', 'we', 'obtain', 'a', 'generalization', 'of', 'the', 'hawking', 'energy', 'associated', 'with', 'a', 'generalized', 'kodama', 'vector', 'this', 'vector', 'plays', 'the', 'role', 'for', 'the', 'stationary', 'untrapped', 'boundary', 'conditions', 'which', 'the', 'stationary', 'killing', 'vector', 'plays', 'for', 'stationary', 'black', 'holes', 'when', 'the', 'dual', 'expansion', 'vector', 'is', 'null', 'the', 'boundary', 'conditions', 'reduce', 'to', 'the', 'ones', 'given', 'by', 'the', 'nonexpanding', 'horizons', 'and', 'the', 'null', 'trapping', 'horizons']] | [-0.16242066243397807, 0.16715860700654522, -0.07525546984537176, 0.09925426215730267, -0.10451300931655028, -0.12156617416488663, -0.030299592494282504, 0.3069992242610528, -0.21606600669894735, -0.21666520864138722, 0.0949370695200575, -0.2591093301086057, -0.08262217881872883, 0.15030028042219526, -0.04903110302328854, 0.05740312390475416, 0.03563955762672802, 0.12010346383223651, -0.11668531209538678, -0.23081536853397397, 0.4035109056440235, 0.08875715440306418, 0.29705944951807317, 0.030264377872735053, 0.15644886784753959, 0.008320213310276223, 0.014904610451120672, 0.04893246157960573, -0.15119860187677286, 0.09074535151012242, 0.2046090193932325, 0.10294496585962586, 0.2333883728084325, -0.39555061847286327, -0.24246649474190862, 0.12534495322591244, 0.0871622025448924, 0.07998325576281018, -0.020349324928452327, -0.27533933944003264, 0.08920231806005689, -0.11512496416673432, -0.21447923531900095, -0.07505920547729647, 0.07052060952541274, -0.05492383048174457, -0.27770705294178827, 0.0976868299144307, 0.0825185437726093, -0.008652722951115771, -0.17012095094238683, -0.05331966350581431, -0.09357790144252211, 0.06975645021454294, 0.08493719096656259, 0.06929845377433107, 0.14528583552631794, -0.10487683831458308, -0.04164534648486846, 0.33333336010995046, -0.060101447099492666, -0.34626778966786576, 0.14697757207716383, -0.16321391625818468, -0.0650856946496634, 0.11356297156012708, 0.11812092320219626, 0.16210371109945568, -0.15322541012512733, 0.1362862464743109, -0.01907994195205671, 0.045252528707300066, 0.12693255645154097, 0.02688994986196967, 0.2785619015241383, 0.05001554951812862, 0.1305214260937646, 0.13943353480852905, -0.07575204706149058, -0.153032921239878, -0.3978788298095616, -0.20902249423137695, -0.17330235809507505, 0.07300944586979671, -0.12498315850005921, -0.2162733973742997, 0.3605929644070041, 0.061420698023014246, 0.18563694995500044, 0.03671962461634342, 0.23336834473749907, 0.1584854272561489, 0.07543761294308893, 0.13438370730399982, 0.24683670612694827, 0.15748498208565034, 0.08900099614648227, -0.22492337678837865, 0.020240645216200764, 0.13231424851716878] |
710.43 | Odd Khovanov homology | We describe an invariant of links in the three-sphere which is closely
related to Khovanov's Jones polynomial homology. Our construction replaces the
symmetric algebra appearing in Khovanov's definition with an exterior algebra.
The two invariants have the same reduction modulo 2, but differ over the
rationals. There is a reduced version which is a link invariant whose graded
Euler characteristic is the normalized Jones polynomial.
| math.QA math.GT | we describe an invariant of links in the threesphere which is closely related to khovanovs jones polynomial homology our construction replaces the symmetric algebra appearing in khovanovs definition with an exterior algebra the two invariants have the same reduction modulo 2 but differ over the rationals there is a reduced version which is a link invariant whose graded euler characteristic is the normalized jones polynomial | [['we', 'describe', 'an', 'invariant', 'of', 'links', 'in', 'the', 'threesphere', 'which', 'is', 'closely', 'related', 'to', 'khovanovs', 'jones', 'polynomial', 'homology', 'our', 'construction', 'replaces', 'the', 'symmetric', 'algebra', 'appearing', 'in', 'khovanovs', 'definition', 'with', 'an', 'exterior', 'algebra', 'the', 'two', 'invariants', 'have', 'the', 'same', 'reduction', 'modulo', '2', 'but', 'differ', 'over', 'the', 'rationals', 'there', 'is', 'a', 'reduced', 'version', 'which', 'is', 'a', 'link', 'invariant', 'whose', 'graded', 'euler', 'characteristic', 'is', 'the', 'normalized', 'jones', 'polynomial']] | [-0.22970963343619727, 0.08239851009790213, -0.15308564483129886, 0.05924147330940916, -0.11807419235030046, -0.1500318745151162, -0.15344184810976283, 0.26372462986753537, -0.3915406874739207, -0.2572686261139237, 0.08968789692466649, -0.21743833986827388, -0.20537916836328804, 0.17343042947781773, -0.18199379969961368, -0.0426476611254307, 0.012107936615267625, 0.12447252250634706, -0.1466686942256414, -0.3128071918510474, 0.3637093740587051, -0.008059773680109244, 0.20142594349498932, 0.02511166206632669, 0.11965131873193269, 0.014754450822678896, -0.09500690185679839, -0.013091415568039968, -0.17443594509878985, 0.11146961906208441, 0.27249905828099985, 0.022706416714936496, 0.11631367393017102, -0.322565812846789, -0.029968861099601223, 0.17608196537655132, 0.15909126316412137, 0.0012154590159368056, 0.05394241316602207, -0.23881513348852212, 0.11138890413030123, -0.2268447755334469, -0.14834109495322292, -0.003593996471653764, 0.05554167413367675, -0.01700641177594662, -0.2002571454271674, -0.015729941714268465, 0.07801360761603483, 0.14933407306671143, -0.024425655478038467, -0.09140988969458984, -0.02463606928761762, 0.04655220717048416, -0.033034674687167774, 0.09370986707150362, 0.11451839957959377, -0.12870953370315524, -0.1983520036921478, 0.36869877780286164, -0.0586209531300343, -0.28971923721524384, 0.11550558708035029, -0.12582641354260538, -0.1867113932250784, 0.18431369184802932, -0.02866432457589186, 0.08422193410448157, -0.003505203930231241, 0.16837995613996798, -0.19140902584275374, 0.10518377009743395, 0.14264671868071532, -0.04364046478787294, 0.12433359125772347, 0.04216795782916821, 0.08145006198364381, 0.1892092758897119, 0.04944375739791072, -0.15368928618084352, -0.3157402512545769, -0.2518548287491565, -0.16445888831781652, 0.12269047546701936, -0.1359828508244111, -0.21130552909408623, 0.4435411490786534, 0.055258564163859075, 0.15440197190126548, 0.18930092530253415, 0.24216101735543746, 0.1622489504175834, 0.13071218320670036, 0.07903993505124862, 0.09458200412874039, 0.21498572120013146, 0.031118426276729085, -0.1361956154784331, 0.024028579983860255, 0.2550936600551582] |
710.4301 | Interaction of massive black hole binaries with their stellar
environment: III. Scattering of bound stars | We develop a formalism for studying the dynamics of massive black hole
binaries embedded in gravitationally-bound stellar cusps, and study the binary
orbital decay by three-body interactions, the impact of stellar slingshots on
the density profile of the inner cusp, and the properties of the ejected
hypervelocity stars (HVSs). We find that the scattering of bound stars shrinks
the binary orbit and increases its eccentricity more effectively than that of
unbound ambient stars. Binaries with initial eccentricities e>0.3 and/or
unequal-mass companions (M_2/M_1<0.1) can decay by three-body interactions to
the gravitational wave emission regime in less than a Hubble time. The stellar
cusp is significantly eroded, and cores as shallow as \rho\propto r^-0.7 may
develop from a pre-existing singular isothermal density profile. A population
of HVSs is ejected in the host galaxy halo, with a total mass ~M_2. We scale
our results to the scattering of stars bound to Sgr A*, the massive black hole
in the Galactic Center, by an inspiraling companion of intermediate mass.
Depending on binary mass ratio, eccentricity, and initial slope of the stellar
cusp, a core of radius ~0.1 pc typically forms in 1-10 Myr. On this timescale
about 500-2500 HVSs are expelled with speeds sufficiently large to escape the
gravitational potential of the Milky Way.
| astro-ph | we develop a formalism for studying the dynamics of massive black hole binaries embedded in gravitationallybound stellar cusps and study the binary orbital decay by threebody interactions the impact of stellar slingshots on the density profile of the inner cusp and the properties of the ejected hypervelocity stars hvss we find that the scattering of bound stars shrinks the binary orbit and increases its eccentricity more effectively than that of unbound ambient stars binaries with initial eccentricities e03 andor unequalmass companions m_2m_101 can decay by threebody interactions to the gravitational wave emission regime in less than a hubble time the stellar cusp is significantly eroded and cores as shallow as rhopropto r07 may develop from a preexisting singular isothermal density profile a population of hvss is ejected in the host galaxy halo with a total mass m_2 we scale our results to the scattering of stars bound to sgr a the massive black hole in the galactic center by an inspiraling companion of intermediate mass depending on binary mass ratio eccentricity and initial slope of the stellar cusp a core of radius 01 pc typically forms in 110 myr on this timescale about 5002500 hvss are expelled with speeds sufficiently large to escape the gravitational potential of the milky way | [['we', 'develop', 'a', 'formalism', 'for', 'studying', 'the', 'dynamics', 'of', 'massive', 'black', 'hole', 'binaries', 'embedded', 'in', 'gravitationallybound', 'stellar', 'cusps', 'and', 'study', 'the', 'binary', 'orbital', 'decay', 'by', 'threebody', 'interactions', 'the', 'impact', 'of', 'stellar', 'slingshots', 'on', 'the', 'density', 'profile', 'of', 'the', 'inner', 'cusp', 'and', 'the', 'properties', 'of', 'the', 'ejected', 'hypervelocity', 'stars', 'hvss', 'we', 'find', 'that', 'the', 'scattering', 'of', 'bound', 'stars', 'shrinks', 'the', 'binary', 'orbit', 'and', 'increases', 'its', 'eccentricity', 'more', 'effectively', 'than', 'that', 'of', 'unbound', 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'of', 'radius', '01', 'pc', 'typically', 'forms', 'in', '110', 'myr', 'on', 'this', 'timescale', 'about', '5002500', 'hvss', 'are', 'expelled', 'with', 'speeds', 'sufficiently', 'large', 'to', 'escape', 'the', 'gravitational', 'potential', 'of', 'the', 'milky', 'way']] | [-0.15567284876995377, 0.19412344434855863, -0.10572198755497728, 0.1381884667254833, -0.10664046350777434, -0.02956375089010589, 0.05240496018741048, 0.3231127954769933, -0.15675137299089303, -0.3430526143733109, 0.00027926062160220583, -0.29207807128723157, -0.016654720456388435, 0.20935323394993186, 0.002777565691762706, 0.009645594627892768, 0.13198092074855342, -0.003978254204464443, -0.1005886654518812, -0.25241762360794084, 0.36693831659523707, 0.07074333057832419, 0.02178027513481534, -0.03400605269952824, 0.032753015623280875, -0.0485405869331906, 0.04493852525183031, -0.07143252793060054, -0.19132736231943728, 0.043406189020230704, 0.1756388703138349, 0.13064098972704655, 0.2143151901726963, 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710.4302 | Theory of NMR in semiconductor quantum point contact devices | We describe how a local non-equilibrium nuclear polarisation can be generated
and detected by electrical means in a semiconductor quantum point contact
device. We show that measurements of the nuclear spin relaxation rate will
provide clear signatures of the interaction mechanism underlying the "0.7"
conductance anomaly. Our analysis illustrates how nuclear magnetic resonance
methods, which are used extensively to study strongly-correlated electron
phases in bulk materials, can be made to play a similarly important role in
nanoscale devices.
| cond-mat.mes-hall cond-mat.str-el | we describe how a local nonequilibrium nuclear polarisation can be generated and detected by electrical means in a semiconductor quantum point contact device we show that measurements of the nuclear spin relaxation rate will provide clear signatures of the interaction mechanism underlying the 07 conductance anomaly our analysis illustrates how nuclear magnetic resonance methods which are used extensively to study stronglycorrelated electron phases in bulk materials can be made to play a similarly important role in nanoscale devices | [['we', 'describe', 'how', 'a', 'local', 'nonequilibrium', 'nuclear', 'polarisation', 'can', 'be', 'generated', 'and', 'detected', 'by', 'electrical', 'means', 'in', 'a', 'semiconductor', 'quantum', 'point', 'contact', 'device', 'we', 'show', 'that', 'measurements', 'of', 'the', 'nuclear', 'spin', 'relaxation', 'rate', 'will', 'provide', 'clear', 'signatures', 'of', 'the', 'interaction', 'mechanism', 'underlying', 'the', '07', 'conductance', 'anomaly', 'our', 'analysis', 'illustrates', 'how', 'nuclear', 'magnetic', 'resonance', 'methods', 'which', 'are', 'used', 'extensively', 'to', 'study', 'stronglycorrelated', 'electron', 'phases', 'in', 'bulk', 'materials', 'can', 'be', 'made', 'to', 'play', 'a', 'similarly', 'important', 'role', 'in', 'nanoscale', 'devices']] | [-0.13792269941880547, 0.17605147353158548, -0.12621087951582666, 0.08709530371169631, -0.039618644651431494, -0.15364744734520522, 0.013014457400482243, 0.406996048700351, -0.28085190669942395, -0.3024292602800788, 0.03938622577026343, -0.26986627896817833, -0.1878241807108936, 0.22751071914218557, 0.04425096071253602, 0.02628831337325466, 0.017300376632752325, -0.0360547874554938, -0.0663778283722842, -0.17051543530005103, 0.2479178765669274, 0.05672174563276199, 0.27621727557375264, 0.14126393124938774, 0.03253255246016078, 0.00205600913017033, 0.04641292043603384, 0.0597311003993337, -0.13029280517786482, 0.06528161057772544, 0.3350714819501333, -0.01443594180716154, 0.19340915421549326, -0.5132880502213271, -0.2243285836556401, 0.07592462409873126, 0.13623139702488118, 0.14319011340819252, -0.12704306566574347, -0.24663459687517622, 0.0521892270562836, -0.1612017795097274, -0.1235408809792343, -0.1516438756012716, -0.04469029727176978, -0.01118933652730611, -0.21531974099194393, 0.09535993437449901, 0.06041892179741691, 0.059155195518635593, -0.05648308962479813, -0.09290138831457649, 0.011247374245729774, 0.12650939201912245, -0.018318216119391415, 0.035409159176290415, 0.2810992830767272, -0.12827229720707506, -0.16674176616689715, 0.35359031019302517, -0.04827279100815455, -0.12495988199355988, 0.17746371333487332, -0.19478381865449662, -0.09681035075575495, 0.10878916234613802, 0.17692306727761975, 0.07412001734766631, -0.19700713821042043, 0.04653983937131647, 0.009820095621622525, 0.1819850538028195, -0.020613488791964184, 0.10427196730429736, 0.29108582408382344, 0.19306246437227878, 0.016519910023093987, 0.12722693883682576, -0.13038484875160533, -0.058322588340021096, -0.24037062756430644, -0.1771695651830389, -0.18807040363884506, 0.1217820259032753, -0.028877239099529106, -0.10512273269108473, 0.4241229737273011, 0.18130913150395292, 0.1666666992390767, -0.1501226281009925, 0.25828599880855435, 0.09789232978931604, 0.0772175283338397, 0.009322516542548934, 0.29301153142482805, 0.1885845400333309, 0.10895577413985172, -0.2989622317851545, 0.09586696375089769, 0.002990900873182676] |
710.4303 | Theorie homotopique des DG-categories | In this thesis we present several original contributions to the study of:
- DG categories and their invariants;
- Neeman's well-generated (algebraic) triangulated categories;
- Fomin-Zelevinsky's cluster algebras approach via representation theory.
| math.KT math.AG | in this thesis we present several original contributions to the study of dg categories and their invariants neemans wellgenerated algebraic triangulated categories fominzelevinskys cluster algebras approach via representation theory | [['in', 'this', 'thesis', 'we', 'present', 'several', 'original', 'contributions', 'to', 'the', 'study', 'of', 'dg', 'categories', 'and', 'their', 'invariants', 'neemans', 'wellgenerated', 'algebraic', 'triangulated', 'categories', 'fominzelevinskys', 'cluster', 'algebras', 'approach', 'via', 'representation', 'theory']] | [-0.13282545069874874, -0.05211207277045168, -0.17205263125100012, 0.12851190447791255, -0.10749943278216083, -0.1156274445098022, -0.018505797653202097, 0.36156786779134437, -0.4229084949555068, -0.26425968547319545, 0.06547812693190344, -0.17917054663572846, -0.2076259683817625, 0.10404106595649801, -0.23988675403183904, -0.1289111444533899, 0.1375430353499692, 0.04765604802503668, -0.06596985700186984, -0.2993541034901964, 0.49879730288902746, -0.05333948258214213, 0.2340812560748951, 0.040239770029639375, 0.06350614345664608, -0.004696738649288128, -0.10091936530481124, 0.022675657580638754, -0.16793190614031306, 0.25100756622850895, 0.3772737974590012, 0.051057258235483335, 0.18506270698432264, -0.37348566178617804, -0.04449768284143045, 0.08853647507855604, 0.1498327023381817, 0.09033205697377181, -0.000905371495875819, -0.3578544575078734, 0.1195365680734916, -0.32577185987912377, -0.06893187841593192, -0.07764311068980344, 0.06321432736927066, -0.06333855822971411, -0.14439068143737727, -0.01483854529415739, 0.06418770930633463, 0.14705890298275084, -0.12383297185317196, -0.11129609880374809, -0.03019792214035988, 0.09441252441370282, -0.04449565483835237, -0.02202404854048429, 0.12166335997332273, -0.11806787578549621, -0.20065532338098976, 0.3464394999218398, 0.040020243874911605, -0.1983426746366353, 0.20871213849248557, -0.07863460314171068, -0.2503612217461241, 0.06592945459073987, 0.04122646615423005, 0.1993510447099307, -0.08740874023401532, 0.1814553879084997, -0.11027196457545305, -0.009964441880583763, 0.05322582072353568, 0.03438195175138013, 0.10977202512580773, 0.07419749998672191, -0.07478606771549275, 0.2070775330066681, 0.02674516206125504, -0.044608444360823465, -0.3409449998931638, -0.15348901765035658, -0.014971513590165254, 0.08052948399864394, -0.07286789167044154, -0.18347856167960783, 0.4339051862279403, 0.17200280986083993, 0.11163150326445184, 0.18863529034344287, 0.27823487354506704, 0.008686602725807962, 0.06761221423672897, -0.02287662045323643, 0.0689721333408921, 0.363856326403289, 0.016601730150106395, -0.08955754500267835, -0.09915272412211473, 0.32908588679154116] |
710.4304 | Belief propagation algorithm for computing correlation functions in
finite-temperature quantum many-body systems on loopy graphs | Belief propagation -- a powerful heuristic method to solve inference problems
involving a large number of random variables -- was recently generalized to
quantum theory. Like its classical counterpart, this algorithm is exact on
trees when the appropriate independence conditions are met and is expected to
provide reliable approximations when operated on loopy graphs. In this paper,
we benchmark the performances of loopy quantum belief propagation (QBP) in the
context of finite-tempereture quantum many-body physics. Our results indicate
that QBP provides reliable estimates of the high-temperature correlation
function when the typical loop size in the graph is large. As such, it is
suitable e.g. for the study of quantum spin glasses on Bethe lattices and the
decoding of sparse quantum error correction codes.
| quant-ph cond-mat.stat-mech | belief propagation a powerful heuristic method to solve inference problems involving a large number of random variables was recently generalized to quantum theory like its classical counterpart this algorithm is exact on trees when the appropriate independence conditions are met and is expected to provide reliable approximations when operated on loopy graphs in this paper we benchmark the performances of loopy quantum belief propagation qbp in the context of finitetempereture quantum manybody physics our results indicate that qbp provides reliable estimates of the hightemperature correlation function when the typical loop size in the graph is large as such it is suitable eg for the study of quantum spin glasses on bethe lattices and the decoding of sparse quantum error correction codes | [['belief', 'propagation', 'a', 'powerful', 'heuristic', 'method', 'to', 'solve', 'inference', 'problems', 'involving', 'a', 'large', 'number', 'of', 'random', 'variables', 'was', 'recently', 'generalized', 'to', 'quantum', 'theory', 'like', 'its', 'classical', 'counterpart', 'this', 'algorithm', 'is', 'exact', 'on', 'trees', 'when', 'the', 'appropriate', 'independence', 'conditions', 'are', 'met', 'and', 'is', 'expected', 'to', 'provide', 'reliable', 'approximations', 'when', 'operated', 'on', 'loopy', 'graphs', 'in', 'this', 'paper', 'we', 'benchmark', 'the', 'performances', 'of', 'loopy', 'quantum', 'belief', 'propagation', 'qbp', 'in', 'the', 'context', 'of', 'finitetempereture', 'quantum', 'manybody', 'physics', 'our', 'results', 'indicate', 'that', 'qbp', 'provides', 'reliable', 'estimates', 'of', 'the', 'hightemperature', 'correlation', 'function', 'when', 'the', 'typical', 'loop', 'size', 'in', 'the', 'graph', 'is', 'large', 'as', 'such', 'it', 'is', 'suitable', 'eg', 'for', 'the', 'study', 'of', 'quantum', 'spin', 'glasses', 'on', 'bethe', 'lattices', 'and', 'the', 'decoding', 'of', 'sparse', 'quantum', 'error', 'correction', 'codes']] | [-0.11251194363382334, 0.11312158664610858, -0.08688141930421504, 0.14119498963506583, -0.08643245713901707, -0.15647796451036508, 0.04907912847944924, 0.3817900259513408, -0.25733267741743476, -0.2851206582970917, 0.10512333924610479, -0.2412922768193918, -0.19384708663759131, 0.21883399214517946, -0.050356510832595326, 0.14344866880322418, 0.11838254365914812, 0.06955728925750009, -0.09486250736905882, -0.27750351737607465, 0.253259359356404, 0.09384798124083318, 0.30003781758908493, 0.04386668218454967, 0.09214295483834575, 0.05894050723873079, 0.03255529667755278, 0.029684889285514753, -0.09989577822786183, 0.09619871762018496, 0.2663930388245111, 0.14792631873860956, 0.2758648741679887, -0.4249532168265432, -0.23774951127513003, 0.07860469582519727, 0.10626418456122337, 0.17234631590933228, -0.0024536817480111496, -0.27665861589096796, 0.10235754692306122, -0.13627893740388874, -0.08876200733551134, -0.0759962660066473, -0.02831123790044027, 0.024475083265375966, -0.2840532006928697, 0.06744578718789854, 0.06504018780154487, 0.05130551696444551, 0.03485229842966267, -0.12112675487296656, 0.09763441229976404, 0.08805133459948895, -0.017323109578380052, 0.0428890749036024, 0.08173765732984369, -0.1462584258716864, -0.17355210891837486, 0.3718135788066623, -0.009290329184538374, -0.19594128271564842, 0.1818327364550593, -0.068178751670348, -0.1569037778574663, 0.09007849605598797, 0.1948841275026401, 0.11667954143680011, -0.12762866900678393, 0.10259110432719656, -0.04637629366479814, 0.12216378295173248, 0.02497332444957768, 0.07102854103238011, 0.15809955014071117, 0.15774605066011038, 0.07301532133327177, 0.14857774463986667, -0.0730748653334255, -0.17033464088259886, -0.25634859355632217, -0.14154001629964721, -0.23635278950096109, 0.05841928420316738, -0.15543214405940187, -0.25099290799116714, 0.3765936025418341, 0.19587993050760513, 0.12227308855508454, 0.07660192776238546, 0.28660509559946756, 0.12911059154430404, 0.031010331922152544, 0.11447856672651445, 0.21840978478236744, 0.188725856639212, 0.03921678461677705, -0.20404349023398632, 0.09419904423994012, 0.09557937473679583] |
710.4305 | Bound-free pair production cross section in heavy-ion colliders from the
equivalent photon approach | Exact calculations of the electron-positron pair production by a single
photon in the Coulomb field of a nucleus with simultaneous capture of the
electron into the K-shell are discussed for different nuclear charges. Using
the equivalent photon method of Weizsaecker and Williams, a simple expression
for the bound-free production of electron-positron pairs by colliding
very-high-energy fully stripped heavy ions is derived for nuclei of arbitrary
charge.
| nucl-th | exact calculations of the electronpositron pair production by a single photon in the coulomb field of a nucleus with simultaneous capture of the electron into the kshell are discussed for different nuclear charges using the equivalent photon method of weizsaecker and williams a simple expression for the boundfree production of electronpositron pairs by colliding veryhighenergy fully stripped heavy ions is derived for nuclei of arbitrary charge | [['exact', 'calculations', 'of', 'the', 'electronpositron', 'pair', 'production', 'by', 'a', 'single', 'photon', 'in', 'the', 'coulomb', 'field', 'of', 'a', 'nucleus', 'with', 'simultaneous', 'capture', 'of', 'the', 'electron', 'into', 'the', 'kshell', 'are', 'discussed', 'for', 'different', 'nuclear', 'charges', 'using', 'the', 'equivalent', 'photon', 'method', 'of', 'weizsaecker', 'and', 'williams', 'a', 'simple', 'expression', 'for', 'the', 'boundfree', 'production', 'of', 'electronpositron', 'pairs', 'by', 'colliding', 'veryhighenergy', 'fully', 'stripped', 'heavy', 'ions', 'is', 'derived', 'for', 'nuclei', 'of', 'arbitrary', 'charge']] | [-0.03390012711822761, 0.20685748603533616, -0.026930979029698807, 0.1336284104512412, 0.045492835409911066, -0.13369268521130312, 0.021890092979777943, 0.35394523755619023, -0.17611841123664018, -0.26288624009766587, -0.12377443434988064, -0.3326925012057252, 0.07646991536162343, 0.20060699579489388, 0.08630946787977309, 0.009879270977707523, 0.07615956970645736, 0.015915582252835684, -0.028903395981725418, -0.16090239841265208, 0.3370526797335708, 0.10323397219745499, 0.2241412213523731, 0.14430316063413612, 0.1335758282238561, 0.09839562027517593, -0.03175443570856287, -0.026923757879007044, -0.0515741178497785, 0.16136273260538778, 0.2114387123076471, 0.07038034478583458, 0.1618005672512068, -0.4522316170517694, -0.17908141800117763, 0.07591647298823138, 0.16727984666288126, 0.118104648271886, -0.1422953807297304, -0.3041903991816622, 0.05718555257683902, -0.2765383811272455, -0.1273268651019669, -0.022004932743694746, 0.06561093122140985, 0.10090350689168906, -0.32050570391231414, 0.06483634702762532, 0.004885560232761429, 0.01240450274593913, -0.07767627997831865, -0.08981140234479398, -0.03941965409356988, 0.03115946475670419, 0.043979882865890184, 0.007910276304535342, 0.20560365108637293, -0.1261460012474069, -0.15247674548123596, 0.38597534924999555, -0.023731068482227398, -0.12278768667161014, 0.1253168652306847, -0.16533465589622431, -0.10045672026039525, 0.2604758116331967, 0.1409132365105589, 0.1322185781177585, -0.20095653480596162, 0.08045826100825446, -0.05099388000301339, 0.10789947386718157, 0.08765807112142669, 0.058527954684739765, 0.21462955282097965, 0.1316016765142029, -0.05402585667219351, 0.12283626459821155, -0.14617685400739763, -0.04552795001390306, -0.32828782041641796, -0.16164050888531192, -0.14169978529609967, 0.05945123153541124, -0.04124120771016213, -0.13293476839493396, 0.37782479437980027, -0.002644116891491594, 0.20811346036763015, -0.09699961568482897, 0.3287745143540881, 0.15557743683739594, 0.016860355517234315, 0.05740208063754394, 0.29308057794079295, 0.20426506552647686, 0.04343401296346477, -0.27278973083858465, 0.025902706156061453, 0.11878247840231228] |
710.4306 | Unifying dark components and crossing the phantom divide with a
classical Dirac field | In this paper we consider a spatially flat Friedmann-Robertson-Walker (FRW)
cosmological model whit cosmological constant, containing a stiff fluid and a
classical Dirac field. The proposed cosmological scenario describes the
evolution of effective dark matter and dark energy components reproducing, with
the help of that effective multifluid configuration, the quintessential
behavior. We find the value of the scale factor where the effective dark energy
component crosses the phantom divide. The model we introduce, which can be
considered as a modified $\La$CDM one, is characterized by a set of parameters
which may be constrained by the astrophysical observations available up to
date.
| astro-ph | in this paper we consider a spatially flat friedmannrobertsonwalker frw cosmological model whit cosmological constant containing a stiff fluid and a classical dirac field the proposed cosmological scenario describes the evolution of effective dark matter and dark energy components reproducing with the help of that effective multifluid configuration the quintessential behavior we find the value of the scale factor where the effective dark energy component crosses the phantom divide the model we introduce which can be considered as a modified lacdm one is characterized by a set of parameters which may be constrained by the astrophysical observations available up to date | [['in', 'this', 'paper', 'we', 'consider', 'a', 'spatially', 'flat', 'friedmannrobertsonwalker', 'frw', 'cosmological', 'model', 'whit', 'cosmological', 'constant', 'containing', 'a', 'stiff', 'fluid', 'and', 'a', 'classical', 'dirac', 'field', 'the', 'proposed', 'cosmological', 'scenario', 'describes', 'the', 'evolution', 'of', 'effective', 'dark', 'matter', 'and', 'dark', 'energy', 'components', 'reproducing', 'with', 'the', 'help', 'of', 'that', 'effective', 'multifluid', 'configuration', 'the', 'quintessential', 'behavior', 'we', 'find', 'the', 'value', 'of', 'the', 'scale', 'factor', 'where', 'the', 'effective', 'dark', 'energy', 'component', 'crosses', 'the', 'phantom', 'divide', 'the', 'model', 'we', 'introduce', 'which', 'can', 'be', 'considered', 'as', 'a', 'modified', 'lacdm', 'one', 'is', 'characterized', 'by', 'a', 'set', 'of', 'parameters', 'which', 'may', 'be', 'constrained', 'by', 'the', 'astrophysical', 'observations', 'available', 'up', 'to', 'date']] | [-0.1389409415285555, 0.13384025197909535, -0.09883835043131124, 0.08211449439646584, -0.11994035882958312, -0.1598719633899002, -0.06752776126676968, 0.2830383463550617, -0.23972138989772093, -0.3652444785624503, 0.05096735104936922, -0.20893870176065085, -0.06369772078100555, 0.113755128895034, 0.029909735859030544, 0.002535346830909205, -3.8071092918957815e-05, 0.03881612595281388, -0.00591972971676231, -0.23805333760285768, 0.3751349621752074, 0.09791882989218108, 0.20629610383126995, -0.01701293817011289, 0.1360569803671229, -0.06811714297769093, -0.012243544959490843, 0.06997801683970502, -0.21049967984760257, 0.04730820835632558, 0.21116494401680805, 0.07915009397755166, 0.22567742380848393, -0.39036895476724254, -0.30374417168152806, 0.15010984621407225, 0.15917510271422786, 0.12645611758943243, -0.058822712870222504, -0.2771786018758828, 0.031200215508608093, -0.20647786218802086, -0.15453459789496984, -0.020041927132792403, -0.03329911154330625, -0.028986629437526116, -0.241484678940534, 0.13483405249259012, -0.041570110467843494, -0.08283412403952663, -0.12326123361189914, -0.06607842557869925, 0.02156635197939923, 0.0344140130777539, 0.057276125359902216, 0.008879757878176941, 0.15050919038228608, -0.1699346621626859, -0.05064022720049108, 0.4424481263365781, -0.16087535536377737, -0.19569240473118601, 0.12036038127538776, -0.08959120427175324, -0.10083874476852246, 0.09323953251160755, 0.12514861377122083, 0.08981269771362295, -0.15487884136267227, 0.16350342460451556, -0.029178496404080698, 0.1864370942244878, 0.03214718455836029, -0.03299684719745033, 0.31175977797570203, 0.18621711624039355, 0.010577777231680944, 0.09926101800727447, -0.09297278096973158, -0.11633822460437544, -0.3441085231416665, -0.15619049913775507, -0.15146799046214265, 0.06880004353599974, -0.1385473820497858, -0.17873656443126573, 0.41325783161538665, 0.11996011836465799, 0.206180651686016, 0.02011144593920522, 0.2988057847844787, 0.09246502630311723, 0.0255892282965049, 0.11687981983241026, 0.2973757298423512, 0.06733042731567628, 0.11132971405531142, -0.21604020419844086, -0.02067181026323302, -0.002556415555980241] |
710.4307 | The quermassintegral inequalities for starshaped domains | We give a simple proof of the insoperimetric inequality for quermassintegrals
of non-convex starshaped domains, using a reslut of Gerhardt \cite{G} and Urbas
\cite{U} on an expanding geometric curvature flow.
| math.DG math.AP | we give a simple proof of the insoperimetric inequality for quermassintegrals of nonconvex starshaped domains using a reslut of gerhardt citeg and urbas citeu on an expanding geometric curvature flow | [['we', 'give', 'a', 'simple', 'proof', 'of', 'the', 'insoperimetric', 'inequality', 'for', 'quermassintegrals', 'of', 'nonconvex', 'starshaped', 'domains', 'using', 'a', 'reslut', 'of', 'gerhardt', 'citeg', 'and', 'urbas', 'citeu', 'on', 'an', 'expanding', 'geometric', 'curvature', 'flow']] | [-0.15822668125232062, -0.0031821926127627697, -0.14646946099000396, 0.049748048945157615, -0.11549938490821256, -0.131350290271695, -0.01976353744113887, 0.3115861901530513, -0.2677752897143364, -0.17691705672553293, 0.1554558530829295, -0.23382287955394498, -0.15860850032832888, 0.22555713445224143, -0.1903881023603457, 0.024033223330560658, 0.015980187665533135, -0.010765899041736568, -0.06607535271905363, -0.23468689297981285, 0.36425328972163024, -0.10110956395941752, 0.1691615303495416, 0.19702801677933032, 0.13432691082427348, 0.009328188357391843, 0.04167397089164566, 0.07361591634926973, -0.2658186524037134, 0.23231907899456997, 0.15681953039192767, 0.15224114755444504, 0.2484053054617511, -0.4095959445392644, -0.1909089009622457, 0.11086045740241254, 0.10347952229764175, 0.03234481477637827, -0.09343668887891841, -0.3255647064221126, 0.026430249662586936, -0.06512573892595591, -0.16553949730263817, -0.09545248019060602, 0.023088603383964963, 0.029350319877266884, -0.27794967909102086, 0.1353492756822595, 0.17153370663247727, 0.12467283341619703, -0.10996274581110035, -0.09355982503405323, 0.021411908376548026, 0.007152187293050466, 0.005825272726791876, 0.06278579344076139, 0.05023093647496016, -0.04543185027109252, -0.11824533998690269, 0.3071516360397692, -0.023149876717340062, -0.25123383808467126, 0.12111498049839779, -0.04473720984188495, -0.13534580391866188, 0.07635067127369068, 0.21132738281179358, 0.19773316404057872, -0.08903062854100156, 0.14628627364894514, -0.10751195572730568, 0.05515406039301996, 0.1336113661872568, -0.0695410097638766, 0.05545094271224958, 0.14002570606492185, 0.21025213119746358, 0.204425187488259, 0.010481000351892025, -0.09682329433659713, -0.3863328951928351, -0.199970913671509, -0.2280398723496883, 0.13622072004471664, -0.19347387331449514, -0.23634754911203076, 0.36693193087423287, -0.057090484985598815, 0.2067051870679414, 0.1546647908700699, 0.2205695304739358, 0.05437785859599158, -0.005470458349144018, 0.10630531177890522, 0.19511138747825665, 0.21451706961832112, 0.12631370922274612, -0.11883845138880941, -0.026230447942873946, 0.18114599592431826] |
710.4308 | Aharanov-Bohm excitons at elevated temperatures in type-II ZnTe/ZnSe
quantum dots | Optical emission from type-II ZnTe/ZnSe quantum dots demonstrates large and
persistent oscillations in both the peak energy and intensity indicating the
formation of coherently rotating states. Furthermore, the Aharanov-Bohm (AB)
effect is shown to be remarkably robust and persists until 180K. This is at
least one order of magnitude greater than the typical temperatures in
lithographically defined rings. To our knowledge this is the highest
temperature at which the AB effect has been observed in semiconductor
structures.
| cond-mat.mes-hall | optical emission from typeii znteznse quantum dots demonstrates large and persistent oscillations in both the peak energy and intensity indicating the formation of coherently rotating states furthermore the aharanovbohm ab effect is shown to be remarkably robust and persists until 180k this is at least one order of magnitude greater than the typical temperatures in lithographically defined rings to our knowledge this is the highest temperature at which the ab effect has been observed in semiconductor structures | [['optical', 'emission', 'from', 'typeii', 'znteznse', 'quantum', 'dots', 'demonstrates', 'large', 'and', 'persistent', 'oscillations', 'in', 'both', 'the', 'peak', 'energy', 'and', 'intensity', 'indicating', 'the', 'formation', 'of', 'coherently', 'rotating', 'states', 'furthermore', 'the', 'aharanovbohm', 'ab', 'effect', 'is', 'shown', 'to', 'be', 'remarkably', 'robust', 'and', 'persists', 'until', '180k', 'this', 'is', 'at', 'least', 'one', 'order', 'of', 'magnitude', 'greater', 'than', 'the', 'typical', 'temperatures', 'in', 'lithographically', 'defined', 'rings', 'to', 'our', 'knowledge', 'this', 'is', 'the', 'highest', 'temperature', 'at', 'which', 'the', 'ab', 'effect', 'has', 'been', 'observed', 'in', 'semiconductor', 'structures']] | [-0.13207794735545145, 0.1796843941242275, -0.04889616943087036, 0.04415034902998932, 0.006347561965843565, -0.11806930535423912, 0.01646581603716569, 0.42608694148887144, -0.2592032241120346, -0.3257533315520145, 0.047274475802336575, -0.3061815328025994, -0.07778248091007729, 0.1960168360842784, 0.02355188703605611, -0.00785527489834318, -0.02156214527540693, 0.034224113776489457, -0.058762046324677374, -0.21114619524757328, 0.2564727597085661, 0.06747955799954453, 0.3134446169347747, 0.07127091584047057, 0.05561194209823091, -0.07987137137618112, 0.0633707515111095, 0.037365829400522146, -0.10889095429956797, 0.02829267184394044, 0.24604787214316035, -0.05930494842131769, 0.23381584789603949, -0.40217648797031297, -0.2012305638192246, 0.08485311234921698, 0.15828067370871154, 0.14720021937759348, -0.024040339575884372, -0.2534138341189215, 0.09633906339111395, -0.12020408533709614, -0.11213028632521041, -0.009034539245859426, 0.06701674258434459, -0.022838951934030967, -0.2446532748198431, 0.10072263290394882, 0.04256250950550709, 0.07543715329742745, -0.04499443783424795, -0.1076359071701422, -0.052400359133331985, 0.04870817427351875, 0.004848293873165906, 0.06480905642169282, 0.14292127522027218, -0.09792294190877951, -0.11761851475794653, 0.35922733193116363, -0.07731206776933457, -0.03255908390948255, 0.17671806300304047, -0.27403845651516395, -0.06502490158584949, 0.19091676942710029, 0.08414568591519798, 0.11387095859543861, -0.10853397597767118, 0.016830172148490277, 0.023104848781306492, 0.18277159306269727, 0.07967701007759101, 0.08831904996431579, 0.2930531987405725, 0.20794762243320675, 0.038625956096343304, 0.1376544931125337, -0.15128884402005688, -0.08186694634097971, -0.1956719580155454, -0.12058712100291527, -0.19744771763706873, 0.07824463183427915, -0.029350598828099657, -0.13693738455606908, 0.4143320261255691, 0.14646580688483818, 0.1821316859660376, -0.019939554250174154, 0.291926842599519, 0.14703170573614588, 0.14049967516238163, 0.08038828354390141, 0.31061730493399264, 0.15207113693223187, 0.06806324619729391, -0.26290915320982766, 0.07216017881996538, -0.06927722655726891] |
710.4309 | Twisting on associative algebras and Rota-Baxter type operators | We will introduce an operation "twisting" on Hochschild complex by analogy
with Drinfeld's twisting operations. By using the twisting and derived bracket
construction, we will study differential graded Lie algebra structures
associated with bi-graded Hochschild complex. We will show that Rota-Baxter
type operators are solutions of Maurer-Cartan equations. As an application of
twisting, we will give a construction of associative Nijenhuis operators.
| math.QA math.SG | we will introduce an operation twisting on hochschild complex by analogy with drinfelds twisting operations by using the twisting and derived bracket construction we will study differential graded lie algebra structures associated with bigraded hochschild complex we will show that rotabaxter type operators are solutions of maurercartan equations as an application of twisting we will give a construction of associative nijenhuis operators | [['we', 'will', 'introduce', 'an', 'operation', 'twisting', 'on', 'hochschild', 'complex', 'by', 'analogy', 'with', 'drinfelds', 'twisting', 'operations', 'by', 'using', 'the', 'twisting', 'and', 'derived', 'bracket', 'construction', 'we', 'will', 'study', 'differential', 'graded', 'lie', 'algebra', 'structures', 'associated', 'with', 'bigraded', 'hochschild', 'complex', 'we', 'will', 'show', 'that', 'rotabaxter', 'type', 'operators', 'are', 'solutions', 'of', 'maurercartan', 'equations', 'as', 'an', 'application', 'of', 'twisting', 'we', 'will', 'give', 'a', 'construction', 'of', 'associative', 'nijenhuis', 'operators']] | [-0.2744387216084907, 0.09535403677774969, -0.021662849392141064, 0.07365112819318329, -0.21553846374304303, -0.12720599265078142, -0.1328413350687873, 0.3930400493404558, -0.4205162241574257, -0.20201133378601122, 0.1255635407212521, -0.18097688811981388, -0.2893777349963784, 0.21231367789028632, -0.2021883906901724, -0.09427517077194587, 0.13675980890665443, 0.0943809008421076, -0.19199678891774027, -0.20823947641803253, 0.5261027206095957, 0.07360616248221166, 0.172782166785891, -0.041816105224913164, 0.12758274531112082, -0.01684162395465518, -0.05847470597514222, -0.051659358327367136, -0.2151124423578421, 0.16244263191812583, 0.28935651145800345, 0.016622002829887694, 0.10640373528604546, -0.434907584541267, -0.011533845891056943, 0.08810618086605362, 0.17108918415502675, 0.04552273998119598, -0.02529166087004987, -0.30305306874816457, 0.06576552073801717, -0.27960177550032256, -0.16244740084549714, -0.17959139655314146, 0.03822527599010256, 0.04838466185009888, -0.22266749161175423, -0.02452425767231973, 0.06544622116451783, 0.1395242746258455, -0.12989366804850438, -0.055298471154885426, -0.11244620337721802, 0.020341064427949248, -0.12979718448308808, -0.057219564918458705, 0.19068805969530536, -0.061889333845747095, -0.24363455903385917, 0.31759533550470104, -0.06308911553013229, -0.25866128731098387, 0.06270743554623256, -0.14876229589478293, -0.19586036465461215, 0.07916757951100026, 0.00888661636910852, 0.10959603263425731, -0.06380246986725158, 0.17784754499218486, -0.07692553586657008, 0.012523807572095745, 0.1149906640226442, -0.0023864884184853683, 0.11620178234748423, 0.11675697058859852, 0.09666300943917444, 0.167102706888991, 0.04823321935010984, -0.060509855288171, -0.3864561509220831, -0.24617649681749754, 0.005788136363750504, 0.22887560804825155, -0.0812212199105547, -0.1601757490406594, 0.39400717676166563, 0.12201742721240848, 0.13448341914843168, 0.10294241522769293, 0.1864205337159576, 0.12870650410824905, 0.1571971722127449, -0.03481508668271765, 0.08091403979755517, 0.31327723532224133, 0.07449454108193036, -0.09664036447723065, -0.11399725018700044, 0.2918556151430934] |
710.431 | On two-Dimensional Holonomy | We define the thin fundamental categorical group ${\mathcal P}_2(M,*)$ of a
based smooth manifold $(M,*)$ as the categorical group whose objects are rank-1
homotopy classes of based loops on $M$, and whose morphisms are rank-2 homotopy
classes of homotopies between based loops on $M$. Here two maps are rank-$n$
homotopic, when the rank of the differential of the homotopy between them
equals $n$. Let $\C(\Gc)$ be a Lie categorical group coming from a Lie crossed
module ${\Gc= (\d\colon E \to G,\tr)}$. We construct categorical holonomies,
defined to be smooth morphisms ${\mathcal P}_2(M,*) \to \C(\Gc)$, by using a
notion of categorical connections, being a pair $(\w,m)$, where $\w$ is a
connection 1-form on $P$, a principal $G$ bundle over $M$, and $m$ is a 2-form
on $P$ with values in the Lie algebra of $E$, with the pair $(\w,m)$ satisfying
suitable conditions.
As a further result, we are able to define Wilson spheres in this context.
| math.DG hep-th math.CT | we define the thin fundamental categorical group mathcal p_2m of a based smooth manifold m as the categorical group whose objects are rank1 homotopy classes of based loops on m and whose morphisms are rank2 homotopy classes of homotopies between based loops on m here two maps are rankn homotopic when the rank of the differential of the homotopy between them equals n let cgc be a lie categorical group coming from a lie crossed module gc dcolon e to gtr we construct categorical holonomies defined to be smooth morphisms mathcal p_2m to cgc by using a notion of categorical connections being a pair wm where w is a connection 1form on p a principal g bundle over m and m is a 2form on p with values in the lie algebra of e with the pair wm satisfying suitable conditions as a further result we are able to define wilson spheres in this context | [['we', 'define', 'the', 'thin', 'fundamental', 'categorical', 'group', 'mathcal', 'p_2m', 'of', 'a', 'based', 'smooth', 'manifold', 'm', 'as', 'the', 'categorical', 'group', 'whose', 'objects', 'are', 'rank1', 'homotopy', 'classes', 'of', 'based', 'loops', 'on', 'm', 'and', 'whose', 'morphisms', 'are', 'rank2', 'homotopy', 'classes', 'of', 'homotopies', 'between', 'based', 'loops', 'on', 'm', 'here', 'two', 'maps', 'are', 'rankn', 'homotopic', 'when', 'the', 'rank', 'of', 'the', 'differential', 'of', 'the', 'homotopy', 'between', 'them', 'equals', 'n', 'let', 'cgc', 'be', 'a', 'lie', 'categorical', 'group', 'coming', 'from', 'a', 'lie', 'crossed', 'module', 'gc', 'dcolon', 'e', 'to', 'gtr', 'we', 'construct', 'categorical', 'holonomies', 'defined', 'to', 'be', 'smooth', 'morphisms', 'mathcal', 'p_2m', 'to', 'cgc', 'by', 'using', 'a', 'notion', 'of', 'categorical', 'connections', 'being', 'a', 'pair', 'wm', 'where', 'w', 'is', 'a', 'connection', '1form', 'on', 'p', 'a', 'principal', 'g', 'bundle', 'over', 'm', 'and', 'm', 'is', 'a', '2form', 'on', 'p', 'with', 'values', 'in', 'the', 'lie', 'algebra', 'of', 'e', 'with', 'the', 'pair', 'wm', 'satisfying', 'suitable', 'conditions', 'as', 'a', 'further', 'result', 'we', 'are', 'able', 'to', 'define', 'wilson', 'spheres', 'in', 'this', 'context']] | [-0.18139803264770776, 0.1082811648987474, -0.09989403832343317, 0.02729356056154375, -0.12016189886827863, -0.17158608343752643, 0.00011998809002820523, 0.38698521723910684, -0.3004670729530194, -0.23967508034360024, 0.04583178268775584, -0.22483985715671517, -0.12202864256987889, 0.1471433075122355, -0.1535142032159192, -0.044748867027397686, 0.029419390183512962, 0.13723477090618783, -0.10903677907021296, -0.24372959050890658, 0.4497085223034505, -0.06169499187099357, 0.1840861468457367, -0.03148784381492371, 0.14632290375509088, 0.0019447643580215593, -0.03021662833747424, 0.04031973506564335, -0.13265828515793526, 0.1411381084291685, 0.3077011901930335, 0.06183545932158708, 0.19076626553770995, -0.33972903217279143, -0.10361677716155687, 0.18756786153141047, 0.07698976967423674, -0.07782206894536953, 0.044425614767016904, -0.30176952642298516, 0.12879206279533045, -0.15815548055594966, -0.05582680086898167, -0.05957306067068731, 0.10129650569325613, -0.003378076019186166, -0.2723487677071394, -0.05941584188971789, 0.046836105615441354, 0.13248734853320546, -0.02860506515829794, -0.08786893088310477, -0.1116224643158456, 0.06819374222071811, -0.03929085323226548, 0.08528019530368187, 0.14185081690009083, -0.05253289312034124, -0.12565153560811473, 0.3857534564550846, -0.08040966306843104, -0.24639397258119236, 0.1440066572954698, -0.14942586805911795, -0.17431812769462984, 0.10220995186316413, 0.07043578195716105, 0.17014030522775775, -0.037070912722547, 0.20784587644325989, -0.12452579815684246, 0.05611071036903248, 0.0919738490194563, -0.015636014248124292, 0.1849887406994258, 0.10995666214655483, 0.05614892083911165, 0.09675596142337928, -0.012305116877447994, -0.01202364023342999, -0.38963322774056464, -0.18895712547725246, -0.08893828255935542, 0.15453582697119864, -0.11279650088681299, -0.1644247523058326, 0.34205368964542304, 0.03005300017013665, 0.2548584936126586, 0.1481207925646055, 0.20341663741837104, 0.04415054029124158, 0.06149732008756649, 0.05265173232483287, 0.1032546672579502, 0.3021960315039201, -0.03607108287068249, -0.10412931777086229, -0.06858093261478408, 0.2127755943325258] |
710.4311 | Enhanced symmetry points and metastable supersymmetry breaking along
pseudo-runaway directions | We construct a model with long-lived metastable vacua in which all the
relevant parameters, including the supersymmetry breaking scale, are generated
dynamically by dimensional transmutation. The metastable vacua appear along a
pseudo-runaway direction near a point of enhanced symmetry as a result of a
balance between non-perturbative and perturbative quantum effects. We show that
metastable supersymmetry breaking is a rather generic feature near certain
enhanced symmetry points of gauge theory moduli spaces.
| hep-th | we construct a model with longlived metastable vacua in which all the relevant parameters including the supersymmetry breaking scale are generated dynamically by dimensional transmutation the metastable vacua appear along a pseudorunaway direction near a point of enhanced symmetry as a result of a balance between nonperturbative and perturbative quantum effects we show that metastable supersymmetry breaking is a rather generic feature near certain enhanced symmetry points of gauge theory moduli spaces | [['we', 'construct', 'a', 'model', 'with', 'longlived', 'metastable', 'vacua', 'in', 'which', 'all', 'the', 'relevant', 'parameters', 'including', 'the', 'supersymmetry', 'breaking', 'scale', 'are', 'generated', 'dynamically', 'by', 'dimensional', 'transmutation', 'the', 'metastable', 'vacua', 'appear', 'along', 'a', 'pseudorunaway', 'direction', 'near', 'a', 'point', 'of', 'enhanced', 'symmetry', 'as', 'a', 'result', 'of', 'a', 'balance', 'between', 'nonperturbative', 'and', 'perturbative', 'quantum', 'effects', 'we', 'show', 'that', 'metastable', 'supersymmetry', 'breaking', 'is', 'a', 'rather', 'generic', 'feature', 'near', 'certain', 'enhanced', 'symmetry', 'points', 'of', 'gauge', 'theory', 'moduli', 'spaces']] | [-0.17941592547806426, 0.28939624038905326, -0.0908293309031238, 0.13703946091897104, -0.04248023992010825, -0.1521775192731965, 0.060478846308066915, 0.3317618594491776, -0.2640648807963015, -0.24092420122363198, 0.09543727302733598, -0.2212473982551568, -0.1369604810188577, 0.08668850115369219, 0.0005635852518845612, 0.021228881211767733, 0.0018057346894917354, -0.013551987117340028, -0.1154054468596013, -0.1871230383485582, 0.34732824043882354, -0.005663196433296191, 0.29280733941516407, 0.032528976385127494, 0.10655872639216168, -0.05887854598875774, 0.06475656542559745, -0.017756772043944245, -0.11202921225530715, 0.10450470344242181, 0.23433129180511328, -0.004354441748328612, 0.16403084282409136, -0.4067320252021014, -0.22295086186798946, 0.12911463326538428, 0.15279441397033736, 0.20936128435964682, -0.09302883723776945, -0.32840617507381337, 0.0751561279552923, -0.1291791371161669, -0.18269718468064625, -0.13452596223952484, -0.038901303727573285, -0.10791607599862864, -0.2793417248192807, 0.07260462611546399, 0.004831369323524791, 0.07460339367389679, -0.0572148226004776, -0.013972784340066808, -0.15245804654985246, 0.0029827504694251946, 0.1374926808844386, 0.026299383287960793, 0.172799478740838, -0.19995907988060269, -0.1524278983657419, 0.39218097138152996, -0.03689028691782446, -0.1613217197968559, 0.17017165341243987, -0.08540174002352525, -0.18104131939545484, 0.17566571841147585, 0.10394695513671867, 0.1718422546917179, -0.05861007638642905, 0.19161878129988777, -0.015215655218180217, 0.13617217041179866, 0.09900323790170147, 0.0883338554945945, 0.2695501999745906, 0.14099041891323638, 0.07932334315871269, 0.12988086927577225, -0.013776768044844059, -0.19061697862343863, -0.4423715038828447, -0.11713715342306336, -0.11156623140403765, 0.09079796536235323, -0.12290170213554388, -0.1681038068581215, 0.3918529179629306, 0.093992397053869, 0.26604308228624957, -0.017936968719086635, 0.16242395515855348, 0.07469905812365436, 0.09978351634795922, 0.004533871693510405, 0.2403203076223882, 0.06508158098145479, 0.03236155055174735, -0.24213342343680036, -0.08981231551553437, 0.15315509916768527] |
710.4312 | Bulk thermodynamics and charge fluctuations at non-vanishing baryon
density | We present results on bulk thermodynamic quantities as well as net baryon
number, strangeness and electric charge fluctuations in QCD at non-zero density
and temperature obtained from lattice calculations with almost physical quark
masses for two values of the lattice cut-off $aT=1/4$ and 1/6 . We show that
with our improved p4fa3-action the cut-off effects are under control when using
lattices with a temporal extent of 6 or larger and that the contribution to the
equation of state, which is due to a finite chemical potential is small for
$\mu_q/T<1$. Moreover, at vanishing chemical potential, i.e. under conditions
almost realized at RHIC and the LHC, quartic fluctuations of net baryon number
and strangeness are large in a narrow temperature interval characterizing the
transition region from the low to high temperature phase. At non-zero baryon
number density, strangeness fluctuations are enhanced and correlated to
fluctuations of the net baryon number. If strangeness is furthermore forced to
vanish, as it may be the case in systems created in heavy ion collisions,
strangeness fluctuations are significantly smaller than baryon number
fluctuations.
| hep-lat | we present results on bulk thermodynamic quantities as well as net baryon number strangeness and electric charge fluctuations in qcd at nonzero density and temperature obtained from lattice calculations with almost physical quark masses for two values of the lattice cutoff at14 and 16 we show that with our improved p4fa3action the cutoff effects are under control when using lattices with a temporal extent of 6 or larger and that the contribution to the equation of state which is due to a finite chemical potential is small for mu_qt1 moreover at vanishing chemical potential ie under conditions almost realized at rhic and the lhc quartic fluctuations of net baryon number and strangeness are large in a narrow temperature interval characterizing the transition region from the low to high temperature phase at nonzero baryon number density strangeness fluctuations are enhanced and correlated to fluctuations of the net baryon number if strangeness is furthermore forced to vanish as it may be the case in systems created in heavy ion collisions strangeness fluctuations are significantly smaller than baryon number fluctuations | [['we', 'present', 'results', 'on', 'bulk', 'thermodynamic', 'quantities', 'as', 'well', 'as', 'net', 'baryon', 'number', 'strangeness', 'and', 'electric', 'charge', 'fluctuations', 'in', 'qcd', 'at', 'nonzero', 'density', 'and', 'temperature', 'obtained', 'from', 'lattice', 'calculations', 'with', 'almost', 'physical', 'quark', 'masses', 'for', 'two', 'values', 'of', 'the', 'lattice', 'cutoff', 'at14', 'and', '16', 'we', 'show', 'that', 'with', 'our', 'improved', 'p4fa3action', 'the', 'cutoff', 'effects', 'are', 'under', 'control', 'when', 'using', 'lattices', 'with', 'a', 'temporal', 'extent', 'of', '6', 'or', 'larger', 'and', 'that', 'the', 'contribution', 'to', 'the', 'equation', 'of', 'state', 'which', 'is', 'due', 'to', 'a', 'finite', 'chemical', 'potential', 'is', 'small', 'for', 'mu_qt1', 'moreover', 'at', 'vanishing', 'chemical', 'potential', 'ie', 'under', 'conditions', 'almost', 'realized', 'at', 'rhic', 'and', 'the', 'lhc', 'quartic', 'fluctuations', 'of', 'net', 'baryon', 'number', 'and', 'strangeness', 'are', 'large', 'in', 'a', 'narrow', 'temperature', 'interval', 'characterizing', 'the', 'transition', 'region', 'from', 'the', 'low', 'to', 'high', 'temperature', 'phase', 'at', 'nonzero', 'baryon', 'number', 'density', 'strangeness', 'fluctuations', 'are', 'enhanced', 'and', 'correlated', 'to', 'fluctuations', 'of', 'the', 'net', 'baryon', 'number', 'if', 'strangeness', 'is', 'furthermore', 'forced', 'to', 'vanish', 'as', 'it', 'may', 'be', 'the', 'case', 'in', 'systems', 'created', 'in', 'heavy', 'ion', 'collisions', 'strangeness', 'fluctuations', 'are', 'significantly', 'smaller', 'than', 'baryon', 'number', 'fluctuations']] | [-0.11952581724950245, 0.3018022756917136, -0.057761806196400096, 0.06504488708118775, 0.005434247909912041, -0.09080500637048057, 0.06182703369030995, 0.31073988465326174, -0.2016899953356811, -0.3017628432597433, 0.04049477959051728, -0.3534149268083274, 0.0010663178842514754, 0.12370696355987873, 0.03718542152134303, 0.03780850186619708, -0.013036259186587164, 0.06425499055800693, -0.052701090407956924, -0.24156274478084275, 0.31444192509166896, 0.06050532056816987, 0.2515495798390891, 0.16972535765796368, 0.060765100491366214, -0.044467430721436225, 0.019226499822855528, 0.08452624822301524, -0.10731752156720696, 0.00023367248359136284, 0.20459261016221716, -3.513792263610022e-05, 0.18794797487823026, -0.3975448796951345, -0.21880135404278658, 0.16284907188133468, 0.13844618489034474, 0.17938219876893396, -0.05142499345820397, -0.21038404472039215, 0.11937260419130326, -0.18376093391329051, -0.18205703406727738, -0.12573932712631566, 0.03368283328999366, 0.05675745866128377, -0.31165064412568294, 0.14974965220051153, -0.04214423085762454, 0.09137790737503175, -0.04945137497170695, -0.2040925491281918, -0.10484632536768913, 0.043629328690502525, 0.06770918102535818, 0.07583924404611544, 0.18126818597582833, -0.1655819770118251, -0.04710989631180253, 0.3757117694403444, -0.08127624599304649, -0.15709599240549973, 0.15144489847123624, -0.21023315816585506, -0.11855704495949404, 0.15430871395394205, 0.17469180376934154, 0.04928341470658779, -0.11950914719981873, 0.04401129601706218, 0.01705990545318595, 0.17831554450071832, 0.077293073348701, 0.0961313587200961, 0.24486954731600624, 0.15646129364679967, 0.06247172162468944, 0.08102962546258433, -0.07044660071412051, -0.08994581205504282, -0.3467141275746482, -0.047723011635243895, -0.19324551031259554, 0.05585279787624521, -0.10630875975101454, -0.12102078138717583, 0.3498286809399724, 0.14653348330474858, 0.24218192461345878, 0.01180794040472912, 0.28635199432128244, 0.11287234461034781, 0.08265507112922413, 0.08792020158176976, 0.2197674635864262, 0.175704765463514, 0.1663656657960798, -0.2889578058583928, 0.0005457183253020048, 0.040261681582778694] |
710.4313 | Superconductivity-induced macroscopic resonant tunneling | We show analytically and by numerical simulations that the conductance
through $\pi$-biased chaotic Josephson junctions is enhanced by several orders
of magnitude in the short-wavelength regime. We identify the mechanism behind
this effect as {\it macroscopic resonant tunneling} through a macroscopic
number of low-energy quasi-degenerate Andreev levels.
| cond-mat.mes-hall cond-mat.supr-con | we show analytically and by numerical simulations that the conductance through pibiased chaotic josephson junctions is enhanced by several orders of magnitude in the shortwavelength regime we identify the mechanism behind this effect as it macroscopic resonant tunneling through a macroscopic number of lowenergy quasidegenerate andreev levels | [['we', 'show', 'analytically', 'and', 'by', 'numerical', 'simulations', 'that', 'the', 'conductance', 'through', 'pibiased', 'chaotic', 'josephson', 'junctions', 'is', 'enhanced', 'by', 'several', 'orders', 'of', 'magnitude', 'in', 'the', 'shortwavelength', 'regime', 'we', 'identify', 'the', 'mechanism', 'behind', 'this', 'effect', 'as', 'it', 'macroscopic', 'resonant', 'tunneling', 'through', 'a', 'macroscopic', 'number', 'of', 'lowenergy', 'quasidegenerate', 'andreev', 'levels']] | [-0.2346363603744818, 0.21772265845261837, -0.03706868606336091, 0.09282944372693158, 0.01639066087891874, -0.11642809134260144, 0.12058041252843711, 0.3184840229704328, -0.2853313151989942, -0.31408327961664484, -0.038593125339779676, -0.2835043709315157, -0.2200844437795003, 0.24943668982418982, 0.05440565856659542, 0.027558195445200672, -0.011016746679239946, -0.07402131799608469, 0.039044934066781854, -0.17174751190063747, 0.32257899111541716, 0.03542310985453103, 0.2947974075036852, 0.07250882516129185, 0.0503505562108172, -0.039338461690298886, 0.0966945567532726, 0.013764409834276075, -0.1501420102869578, -0.015872063621392717, 0.2498710669739091, -0.10771837121928515, 0.22118910535684097, -0.5442949097360605, -0.19658238404055894, -0.003597142711362761, 0.23218797981415107, 0.17279477043927688, -0.011410332102652477, -0.2930664579262552, 0.05329122689410882, -0.17492760732041104, -0.11342013121137152, -0.11631866129439163, -0.026041911408791075, -0.02636905349082435, -0.2089634878034501, 0.11743815418879461, 0.0025683042983038595, 0.02082316682714483, 0.037967456221256565, -0.003328982558425354, -0.04789948139501655, 0.01581625452356251, 0.05626648409649889, -0.1155233139111458, 0.1831983093212804, -0.12452380885066383, -0.15541961736491192, 0.277387802258802, -0.08877461205196122, -0.10974427944292194, 0.16171379880372272, -0.18894310668110847, -0.029924723987832018, 0.17889446757085944, 0.03785620208667672, 0.10873677409456475, -0.15153836276706145, 0.05200973395941495, -0.05251788012885853, 0.14085546266490026, 0.1002361943702335, 0.09034894333909387, 0.25799444860414317, 0.24515458022284767, 0.04330291318626184, 0.14794797131680357, -0.14631007362724, -0.07668492010207442, -0.3042486893094104, -0.0654356211585843, -0.16897761192091781, 0.08555597705645082, -0.07690152939903783, -0.16130575772536837, 0.430728688593144, 0.24402760953197014, 0.17426098016617092, -0.0327301483358378, 0.3660727914260781, 0.19847045111743247, 0.033309666318414005, -0.007496714075703336, 0.2899941829559596, 0.15497777909647836, 0.05396229601667627, -0.3792377162178088, 0.03461174014955759, 0.02527366080523833] |
710.4314 | Substrate Adhesion of a Nongrafted Flexible Polymer in a Cavity | In a contact density chain-growth study we investigate the
solubility-temperature pseudo-phase diagram of a lattice polymer in a cavity
with an attractive surface. In addition to the main phases of adsorbed and
desorbed conformations we find numerous subphases of collapsed and expanded
structures.
| cond-mat.soft | in a contact density chaingrowth study we investigate the solubilitytemperature pseudophase diagram of a lattice polymer in a cavity with an attractive surface in addition to the main phases of adsorbed and desorbed conformations we find numerous subphases of collapsed and expanded structures | [['in', 'a', 'contact', 'density', 'chaingrowth', 'study', 'we', 'investigate', 'the', 'solubilitytemperature', 'pseudophase', 'diagram', 'of', 'a', 'lattice', 'polymer', 'in', 'a', 'cavity', 'with', 'an', 'attractive', 'surface', 'in', 'addition', 'to', 'the', 'main', 'phases', 'of', 'adsorbed', 'and', 'desorbed', 'conformations', 'we', 'find', 'numerous', 'subphases', 'of', 'collapsed', 'and', 'expanded', 'structures']] | [-0.17753227475250877, 0.17957914437926753, -0.1167325004068918, 0.007438512843881928, 0.04861678105107574, -0.11296209248681661, 0.08499460429397174, 0.42611451057154076, -0.22178625300266716, -0.24138345027905564, 0.02773791833423338, -0.23828773161526337, -0.17482658211401728, 0.08104860727393697, 0.016849154173288236, -0.0301133509032255, 0.03882340930922087, -0.025641625010690023, -0.10891726183120248, -0.18490745465076247, 0.2551323910525372, -0.001076135562386277, 0.2285639626342197, 0.08414631378078877, 0.04133715772957996, -0.03743702740690043, 0.0702351983257591, 0.07530917369132471, -0.2827270801374039, 0.1355918401982202, 0.2112802742698858, -0.05514565105874871, 0.16115225461679836, -0.45598409758057706, -0.21559888141792874, 0.057539162745829237, 0.1589368898421526, 0.16225026639958107, -0.0529206577082013, -0.2693008516243724, 0.014544061644999095, -0.15857059291975442, -0.13487611133551095, -0.06069963665809049, -0.0011966088705501238, 0.0628386091733308, -0.17211746816458398, 0.05434636032035531, 0.007376920112387039, 0.07094074134325046, -0.08598289528298517, -0.10644327701870786, -0.08073975280100523, 0.08455166162998784, -0.00323515682113032, 0.03251806966592233, 0.19622551812248867, -0.16898888410718807, -0.030323001534439797, 0.3852592140089634, -0.07491228226463982, -0.10785400785159233, 0.22967696003615856, -0.1374768567285744, -0.17363104055267434, 0.20378973934972702, 0.13347137177926163, 0.09883018613381442, -0.1311477095235226, 0.0620033971201845, 0.01653473950695073, 0.21304289245068334, 0.06849925629361424, -0.06159858085041822, 0.24729221461470738, 0.21574959120453271, 0.024180448159228925, 0.2830194784978101, -0.10599696870113529, -0.12309385398077931, -0.20800252791580764, -0.2512861584897998, -0.19417781499755937, 0.005544234587009563, -0.08249851005682506, -0.2685689335299093, 0.3712127995352412, 0.06136995278634564, 0.23164129876639955, -0.027328275187417518, 0.20099506215300672, -0.01834834919332765, 0.023240873276061096, 0.00391929422310272, 0.18354032052204358, 0.18211370178086814, 0.03168896019599552, -0.2459128042899592, 0.0004955134354531765, 0.05013339934589038] |
710.4315 | Critical Collapse of Einstein Cluster | We observe critical phenomena in spherically symmetric gravitational collapse
of Einstein Cluster. We show analytically that the collapse evolution ends
either in formation of a black hole or in dispersal depending on the values of
initial parameters which characterize initial density and angular momentum of
the collapsing cloud. Near the threshold of black hole formation, we obtain
scaling relation for the mass of the black hole and find the critical exponent
value to be 3/2. We numerically confirm that there exist wide ranges of initial
parameter values around the critical configuration for which the model remains
shell-crossing free.
| gr-qc | we observe critical phenomena in spherically symmetric gravitational collapse of einstein cluster we show analytically that the collapse evolution ends either in formation of a black hole or in dispersal depending on the values of initial parameters which characterize initial density and angular momentum of the collapsing cloud near the threshold of black hole formation we obtain scaling relation for the mass of the black hole and find the critical exponent value to be 32 we numerically confirm that there exist wide ranges of initial parameter values around the critical configuration for which the model remains shellcrossing free | [['we', 'observe', 'critical', 'phenomena', 'in', 'spherically', 'symmetric', 'gravitational', 'collapse', 'of', 'einstein', 'cluster', 'we', 'show', 'analytically', 'that', 'the', 'collapse', 'evolution', 'ends', 'either', 'in', 'formation', 'of', 'a', 'black', 'hole', 'or', 'in', 'dispersal', 'depending', 'on', 'the', 'values', 'of', 'initial', 'parameters', 'which', 'characterize', 'initial', 'density', 'and', 'angular', 'momentum', 'of', 'the', 'collapsing', 'cloud', 'near', 'the', 'threshold', 'of', 'black', 'hole', 'formation', 'we', 'obtain', 'scaling', 'relation', 'for', 'the', 'mass', 'of', 'the', 'black', 'hole', 'and', 'find', 'the', 'critical', 'exponent', 'value', 'to', 'be', '32', 'we', 'numerically', 'confirm', 'that', 'there', 'exist', 'wide', 'ranges', 'of', 'initial', 'parameter', 'values', 'around', 'the', 'critical', 'configuration', 'for', 'which', 'the', 'model', 'remains', 'shellcrossing', 'free']] | [-0.17301452981441148, 0.12717879266116996, -0.07410746841805474, 0.10257170226767051, -0.008611792254817615, -0.09950596362599456, 0.04716192788625022, 0.318547233521026, -0.1753025109242952, -0.30416929800709597, 0.10266833207023578, -0.22958885614489377, -0.0738655298316319, 0.17141167286840475, 0.04827208645945909, 0.03340905392334597, 0.018707448238868038, 0.04872967663924305, -0.13890429265911178, -0.2083043834700591, 0.4459856393632992, 0.03806210127754175, 0.22487168642217104, 0.044971953443434486, 0.05740275963836787, -0.03285430145107818, 0.059546894731228144, 0.03300354528723152, -0.2710275109199515, -0.022130059049825887, 0.16363828818252005, 0.11221177551458228, 0.23293689570902865, -0.3526593680892672, -0.223708045896979, 0.11854246107024516, 0.17571230174745528, 0.15555513834305185, -0.09083735666413582, -0.2281962902456218, 0.09865653748167869, -0.2209323047474977, -0.21640654357758407, -0.001241441445463166, 0.11962989418368254, 0.0395525787952261, -0.2542350871906597, 0.1751497616155111, 0.01652301891649864, -0.05693505936283238, -0.16622197810959602, -0.0471875031706782, -0.08276874378171502, 0.11212531545399022, 0.06639528857574208, 0.013885761899826097, 0.20538218907669795, -0.16475352196246196, -0.04073322960650738, 0.3373060803860426, -0.02587152634538254, -0.1552089154577757, 0.1722764499789598, -0.27816850395768655, -0.09905576586191144, 0.11767009579414996, 0.1532357740928704, 0.13466177324346285, -0.07704379423331394, 0.071388401517559, 0.006399920604628872, 0.19781677864316127, 0.14017206144386105, 0.020314621444487452, 0.3672148985645677, 0.1381958736943043, 0.05121990102485811, 0.13303808605521728, -0.09751837815832803, -0.1666852360904901, -0.2902879511120216, -0.11227624050854725, -0.16248506070494803, 0.11748337736757168, -0.1703488685909958, -0.21520373826770453, 0.3154660654064192, 0.15766902634284782, 0.23871700708963434, 0.024134522363334437, 0.19371419745896543, 0.12512463399765025, 0.03966928578495067, 0.14097558186218448, 0.3262407301963136, 0.09125862001650492, 0.10494424068673076, -0.27292032367300373, 0.004265776890025911, 0.04481304500594127] |
710.4316 | Can the new Neutrino Telescopes reveal the Gravitational Properties of
Antimatter? | We argue that the hypothesis of the gravitational repulsion between matter
and antimatter can be tested at the Ice Cube, a neutrino telescope, recently
constructed at the South Pole. If there is such a gravitational repulsion, the
gravitational field, deep inside the horizon of a black hole, might create
neutrino-antineutrino pairs from the quantum vacuum. While neutrinos must stay
confined inside the horizon, the antineutrinos should be violently ejected.
Hence, a black hole (made from matter) should behave as a point-like source of
antineutrinos. Our simplified calculations suggest, that the antineutrinos
emitted by supermassive black holes in the centre of the Milky Way and
Andromeda Galaxy, could be detected by the new generation of neutrino
telescopes.
| gr-qc astro-ph.GA | we argue that the hypothesis of the gravitational repulsion between matter and antimatter can be tested at the ice cube a neutrino telescope recently constructed at the south pole if there is such a gravitational repulsion the gravitational field deep inside the horizon of a black hole might create neutrinoantineutrino pairs from the quantum vacuum while neutrinos must stay confined inside the horizon the antineutrinos should be violently ejected hence a black hole made from matter should behave as a pointlike source of antineutrinos our simplified calculations suggest that the antineutrinos emitted by supermassive black holes in the centre of the milky way and andromeda galaxy could be detected by the new generation of neutrino telescopes | [['we', 'argue', 'that', 'the', 'hypothesis', 'of', 'the', 'gravitational', 'repulsion', 'between', 'matter', 'and', 'antimatter', 'can', 'be', 'tested', 'at', 'the', 'ice', 'cube', 'a', 'neutrino', 'telescope', 'recently', 'constructed', 'at', 'the', 'south', 'pole', 'if', 'there', 'is', 'such', 'a', 'gravitational', 'repulsion', 'the', 'gravitational', 'field', 'deep', 'inside', 'the', 'horizon', 'of', 'a', 'black', 'hole', 'might', 'create', 'neutrinoantineutrino', 'pairs', 'from', 'the', 'quantum', 'vacuum', 'while', 'neutrinos', 'must', 'stay', 'confined', 'inside', 'the', 'horizon', 'the', 'antineutrinos', 'should', 'be', 'violently', 'ejected', 'hence', 'a', 'black', 'hole', 'made', 'from', 'matter', 'should', 'behave', 'as', 'a', 'pointlike', 'source', 'of', 'antineutrinos', 'our', 'simplified', 'calculations', 'suggest', 'that', 'the', 'antineutrinos', 'emitted', 'by', 'supermassive', 'black', 'holes', 'in', 'the', 'centre', 'of', 'the', 'milky', 'way', 'and', 'andromeda', 'galaxy', 'could', 'be', 'detected', 'by', 'the', 'new', 'generation', 'of', 'neutrino', 'telescopes']] | [-0.10927046072500726, 0.23388233986193444, -0.098111279059908, 0.19421525421559385, -0.09041777728446598, -0.09271815134581693, 0.011523647159578857, 0.3131317163271637, -0.198011269026179, -0.3105345195287774, 0.022247493229926852, -0.34362282799877997, -0.01978977190346682, 0.20016703798821003, 0.03635523594707122, -0.056961800417349, 0.07254959801653528, -0.00013014799433535543, -0.0750740334704711, -0.23133735949221743, 0.3183684451786544, 0.14902871483530455, 0.17949958229919188, 0.02826286824660954, 0.11716687885024746, -0.055876862466463756, 0.005914670435294252, 0.0027617115029615574, -0.055811231229920946, 0.01759263050164385, 0.22892477403892653, 0.1567660158596419, 0.1943411562142187, -0.46447825086592087, -0.22447905565033957, 0.1455278009585715, 0.17989510375778553, 0.12185927728744994, -0.13110302424796955, -0.37697080680939915, 0.0490380194422524, -0.24936696174173167, -0.20150603044071588, 0.06910519464872777, 0.01425226917189289, -0.01630766438531031, -0.18229566887121423, 0.08386414375754297, -0.018061801698861707, -0.10758909405514464, -0.08822923277681373, -0.06539623129004933, -0.04438629782465608, 0.070181306250843, 0.11582304936119131, 0.050336311639543496, 0.25080617318072373, -0.11722662368967952, -0.0773969325497907, 0.403267418162833, -0.05505812223518974, -0.08312499057902986, 0.1444090269586264, -0.2565989405165651, -0.10283645029693585, 0.13416515075569524, 0.14766661129121122, 0.10835592708036561, -0.17612257648604632, 0.08330758765805513, -0.07228301985968097, 0.17322068823228493, 0.1308314595772917, 0.025857912438870447, 0.5284391282937201, 0.13986832565820678, 0.07147444024730217, 0.06611085572813895, -0.19554969809692482, -0.0007304838117902521, -0.3017533802064055, -0.12006604385558227, -0.1751973496685768, 0.12188102581923635, -0.0794670469494404, -0.1257648851385276, 0.2843827753115028, 0.07623992638325254, 0.14201363366386244, -0.03355744451380752, 0.27496338015235183, 0.017898454772436928, 0.10844555142303479, 0.09868556612315749, 0.41009732263548104, 0.09426691407811474, 0.11901959141411272, -0.23900743349654005, -0.012397841658796472, 0.06375223039328282] |
710.4317 | One dimensional conformal metric flow II | In this paper we continue our studies of the one dimensional conformal metric
flows, which were introduced in [8]. In this part we mainly focus on evolution
equations involving fourth order derivatives. The global existence and
exponential convergence of metrics for the 1-Q and 4-Q flows are obtained.
| math.AP math.DG | in this paper we continue our studies of the one dimensional conformal metric flows which were introduced in 8 in this part we mainly focus on evolution equations involving fourth order derivatives the global existence and exponential convergence of metrics for the 1q and 4q flows are obtained | [['in', 'this', 'paper', 'we', 'continue', 'our', 'studies', 'of', 'the', 'one', 'dimensional', 'conformal', 'metric', 'flows', 'which', 'were', 'introduced', 'in', '8', 'in', 'this', 'part', 'we', 'mainly', 'focus', 'on', 'evolution', 'equations', 'involving', 'fourth', 'order', 'derivatives', 'the', 'global', 'existence', 'and', 'exponential', 'convergence', 'of', 'metrics', 'for', 'the', '1q', 'and', '4q', 'flows', 'are', 'obtained']] | [-0.1569131933307896, 0.07503690450782112, -0.05544188952383896, 0.05788159432025471, -0.025623639308226604, -0.03242872936728721, -0.04782005582577161, 0.30982225803503144, -0.21237504637489715, -0.23872115094369897, 0.18892715584418815, -0.313289836825182, -0.16848362931826463, 0.13377075269818306, -0.0360538194217952, 0.09913569750885169, 0.010364795588733008, 0.03722858539549634, -0.10296104452572763, -0.33277359131413203, 0.40927137915665907, -0.011605896366139254, 0.22838793366099708, 0.0482918448590984, 0.06986637096269988, -0.03341417642271457, -0.08211535937152803, 0.014430515623341003, -0.20192419588177776, 0.1587625013004678, 0.20838707654426494, 0.047791541078671194, 0.27305938000790775, -0.39526327427787084, -0.19146842839351544, 0.09454546333290637, 0.1448931964696385, 0.06916631113805731, -0.05742060919631816, -0.24558337309766406, 0.10082300566136837, -0.16166681534377858, -0.15291860670549795, -0.08396342282261078, -0.02567832451313734, 0.04558276509245237, -0.23723913751503764, 0.10983703685148309, 0.09932475624373183, 0.08090914943750249, -0.10782431764528155, -0.07605809400168557, -0.000491505018241393, 0.10297554056160152, 0.11872208508975746, 0.009324427820198858, 0.03285471238389922, -0.11240780342465466, -0.12533130703377537, 0.35028072881201905, -0.10354369330889313, -0.25809925177600235, 0.1902517014920401, -0.1819007908925414, -0.2155370155038933, 0.07252552899687241, 0.23681161766095707, 0.19392649239550033, -0.13108359215160212, 0.10868503618742882, 0.00435470583033748, 0.10089846634461234, 0.09457789224688895, -0.02706996549386531, 0.09472565822458516, 0.1277689105287815, 0.07048924296395853, 0.15207061397571428, -0.025022064710356062, -0.1417850992681148, -0.34858733097401756, -0.16499512198303515, -0.10045317149100204, 0.07644486450590193, -0.09164100441982252, -0.13401543003662178, 0.42274207218239707, 0.10665725745608749, 0.174754724255763, 0.0575627822666623, 0.2515318930624441, 0.13351133175941263, 0.04535641757926593, 0.10501310110748818, 0.2730158673366532, 0.12884054853445073, 0.16250986206917636, -0.18487287392296517, -0.006651716403818379, 0.16110169478148842] |
710.4318 | Differential invariants of a Lie group action: syzygies on a generating
set | Given a group action, known by its infinitesimal generators, we exhibit a
complete set of syzygies on a generating set of differential invariants. For
that we elaborate on the reinterpretation of Cartan's moving frame by Fels and
Olver (1999). This provides constructive tools for exploring algebras of
differential invariants.
| cs.SC math.DG | given a group action known by its infinitesimal generators we exhibit a complete set of syzygies on a generating set of differential invariants for that we elaborate on the reinterpretation of cartans moving frame by fels and olver 1999 this provides constructive tools for exploring algebras of differential invariants | [['given', 'a', 'group', 'action', 'known', 'by', 'its', 'infinitesimal', 'generators', 'we', 'exhibit', 'a', 'complete', 'set', 'of', 'syzygies', 'on', 'a', 'generating', 'set', 'of', 'differential', 'invariants', 'for', 'that', 'we', 'elaborate', 'on', 'the', 'reinterpretation', 'of', 'cartans', 'moving', 'frame', 'by', 'fels', 'and', 'olver', '1999', 'this', 'provides', 'constructive', 'tools', 'for', 'exploring', 'algebras', 'of', 'differential', 'invariants']] | [-0.18108810885448237, 0.026329846254416873, -0.12139641600352123, 0.08433896419829784, -0.1421538154613607, -0.09976083321534858, 0.030781370380356415, 0.31388454116424735, -0.26959700365455785, -0.2745187410286495, 0.08602273017073012, -0.25266741562102524, -0.1416933450809851, 0.2553196995500095, -0.16870546890232635, 0.03414681378861281, 0.06806492381634152, 0.059401264428446184, -0.09281344816316756, -0.22557364833750287, 0.4040256185000952, 0.03229277902662906, 0.18905225704538123, -0.027604653614060004, 0.2060607386068726, 0.09001009629050992, -0.1244733784328766, -0.0064671652923737255, -0.15337501655939173, 0.18492473354468084, 0.26338482743167146, 0.1197981624769009, 0.19264703281984039, -0.3671847380393622, -0.12211882642337255, 0.05767776471401127, 0.06157103196090581, 0.10202124140852568, -0.10043937046251887, -0.3250451748620491, 0.08047928146029613, -0.15930964436610134, -0.16260643788062187, -0.14240263951752258, 0.11700362982988662, -0.00665980125112193, -0.23683262878686798, -0.026082235806602603, 0.12747498075192681, 0.1953215223870107, -0.014904132799473497, -0.04316468899879528, -0.0356930107999669, 0.052708805149078976, -0.052176774382040055, -0.0056380995701314236, 0.10235814562029376, -0.08595472520540412, -0.2168250183767297, 0.3763446793416325, -0.03933314439289424, -0.2246499973900464, 0.149814055382027, -0.11876357476849451, -0.15656886759157085, 0.11892489585265213, 0.12833139990285344, 0.1758078781321255, -0.13074662568693868, 0.15080759218063594, -0.10434595130536022, 0.028784668358156875, 0.13001521762167353, 0.011931316936578678, 0.13457361348353478, 0.12196275745803604, 0.05420638538174787, 0.11272543279111993, 0.05700678042877389, -0.03278713428168273, -0.3884381698159387, -0.19982982345153483, -0.08318704563402096, 0.11269479129957605, -0.07137931201919409, -0.16196642743841727, 0.457235864078512, 0.10172608046203244, 0.14600552807619072, 0.11606787194554903, 0.2168496797260429, 0.12305445219116874, 0.038658634521903434, 0.05236431066783107, 0.16871921444425778, 0.19997666237343634, 0.02726059381336886, -0.14900491862766901, -0.02794285333354254, 0.24409294044789004] |
710.4319 | Supersymmetric codimension-two branes in six-dimensional gauged
supergravity | We consider the six-dimensional Salam-Sezgin supergravity in the presence of
codimension-2 branes. In the case that the branes carry only tension, we
provide a way to supersymmetrise them by adding appropriate localised
Fayet-Iliopoulos terms and localised corrections to the Chern-Simons term and
modifying accordingly the fermionic supersymmetry transformations. The
resulting brane action has N=1 supersymmetry (SUSY). We find the axisymmetric
vacua of the system and show that one has unwarped background solutions with
"football"-shaped extra dimensions which always respect N=1 SUSY for any value
of the equal brane tensions, in contrast with the non-supersymmetric brane
action background. Finally, we generically find multiple zero modes of the
gravitino in this background and discuss how one could obtain a single chiral
zero mode present in the low energy spectrum.
| hep-th hep-ph | we consider the sixdimensional salamsezgin supergravity in the presence of codimension2 branes in the case that the branes carry only tension we provide a way to supersymmetrise them by adding appropriate localised fayetiliopoulos terms and localised corrections to the chernsimons term and modifying accordingly the fermionic supersymmetry transformations the resulting brane action has n1 supersymmetry susy we find the axisymmetric vacua of the system and show that one has unwarped background solutions with footballshaped extra dimensions which always respect n1 susy for any value of the equal brane tensions in contrast with the nonsupersymmetric brane action background finally we generically find multiple zero modes of the gravitino in this background and discuss how one could obtain a single chiral zero mode present in the low energy spectrum | [['we', 'consider', 'the', 'sixdimensional', 'salamsezgin', 'supergravity', 'in', 'the', 'presence', 'of', 'codimension2', 'branes', 'in', 'the', 'case', 'that', 'the', 'branes', 'carry', 'only', 'tension', 'we', 'provide', 'a', 'way', 'to', 'supersymmetrise', 'them', 'by', 'adding', 'appropriate', 'localised', 'fayetiliopoulos', 'terms', 'and', 'localised', 'corrections', 'to', 'the', 'chernsimons', 'term', 'and', 'modifying', 'accordingly', 'the', 'fermionic', 'supersymmetry', 'transformations', 'the', 'resulting', 'brane', 'action', 'has', 'n1', 'supersymmetry', 'susy', 'we', 'find', 'the', 'axisymmetric', 'vacua', 'of', 'the', 'system', 'and', 'show', 'that', 'one', 'has', 'unwarped', 'background', 'solutions', 'with', 'footballshaped', 'extra', 'dimensions', 'which', 'always', 'respect', 'n1', 'susy', 'for', 'any', 'value', 'of', 'the', 'equal', 'brane', 'tensions', 'in', 'contrast', 'with', 'the', 'nonsupersymmetric', 'brane', 'action', 'background', 'finally', 'we', 'generically', 'find', 'multiple', 'zero', 'modes', 'of', 'the', 'gravitino', 'in', 'this', 'background', 'and', 'discuss', 'how', 'one', 'could', 'obtain', 'a', 'single', 'chiral', 'zero', 'mode', 'present', 'in', 'the', 'low', 'energy', 'spectrum']] | [-0.17031864002938307, 0.1882421865704514, -0.0423233629174767, 0.10135417803660006, -0.07442357438424277, -0.18993486491371953, -0.017059601283454823, 0.28276755858863156, -0.140426079158686, -0.2783729969657817, 0.10255193645097611, -0.28009546804611407, -0.13619972394025398, 0.04189445815485207, -0.07344466278750804, -0.007792039013962956, -0.001690326577296392, 0.0560975648642477, -0.0625359398804398, -0.2749404040191116, 0.3606737738859559, 0.0038473615496759377, 0.25250818909308503, 0.024730063499956732, 0.09756393600181336, -0.05154756937057726, 0.023623762593146354, 0.0021405783038408984, -0.1353986147272129, 0.09970836593429484, 0.2064150694151601, 0.03946178990401446, 0.09060411412446272, -0.4599486976152375, -0.24212134274698438, 0.14589269121643156, 0.20900975054662144, 0.1899902292237144, -0.02915902093093517, -0.24953955769472355, 0.07947011350742764, -0.18007216402440376, -0.170803526952301, -0.09129786235280335, -0.010884263460332203, -0.1488757109979079, -0.2456827069122699, 0.08043346154902663, 0.005669052646096263, -0.01359765064562597, -0.08227523474811783, -0.056800691842374997, -0.12626050480656206, 0.04271677501189212, 0.20617870179592587, 0.02755857482996015, 0.14524155273102224, -0.1926407389608877, -0.12992627414992997, 0.3619747919525715, -0.11947284965075568, -0.279342408447216, 0.14674826978617125, -0.13314157202359408, -0.14716227256530334, 0.10575936938310782, 0.07380628703709041, 0.15310152370246158, -0.09484967057194028, 0.24642631924172517, 0.007671653544382443, 0.15969541407881363, 0.1315734544547186, 0.05120426214240965, 0.30667586326007806, 0.08699136515081461, 0.10708460397972164, 0.16927144289134988, -0.046639605848689654, -0.06890525144436174, -0.4381656379125724, -0.10360787542063803, -0.06683537629058785, 0.092287446586563, -0.15810949671302094, -0.17048041715419718, 0.38011828982936485, 0.11834711759417717, 0.20121317016818221, 0.04291492449729482, 0.22963314752892725, 0.09846242526148831, 0.06682696419265417, 0.04426567811178901, 0.29305018441306263, 0.0463400923948188, 0.09830344258068455, -0.281190079647959, -0.17758218912289492, 0.12269557645130488] |
710.432 | Liouville energy on a topological two sphere | In this paper we shall give an analytic proof of the fact that the Liouville
energy on a topological two sphere is bounded from below. Our proof does not
rely on the uniformization theorem and the Onofri inequality, thus it is
essentially needed in the alternative proof of the uniformization theorem via
the Calabi flow. Such an analytic approach also sheds light on how to obtain
the boundedness for E_1 energy in the study of general K\"ahler manifolds.
| math.AP math.DG | in this paper we shall give an analytic proof of the fact that the liouville energy on a topological two sphere is bounded from below our proof does not rely on the uniformization theorem and the onofri inequality thus it is essentially needed in the alternative proof of the uniformization theorem via the calabi flow such an analytic approach also sheds light on how to obtain the boundedness for e_1 energy in the study of general kahler manifolds | [['in', 'this', 'paper', 'we', 'shall', 'give', 'an', 'analytic', 'proof', 'of', 'the', 'fact', 'that', 'the', 'liouville', 'energy', 'on', 'a', 'topological', 'two', 'sphere', 'is', 'bounded', 'from', 'below', 'our', 'proof', 'does', 'not', 'rely', 'on', 'the', 'uniformization', 'theorem', 'and', 'the', 'onofri', 'inequality', 'thus', 'it', 'is', 'essentially', 'needed', 'in', 'the', 'alternative', 'proof', 'of', 'the', 'uniformization', 'theorem', 'via', 'the', 'calabi', 'flow', 'such', 'an', 'analytic', 'approach', 'also', 'sheds', 'light', 'on', 'how', 'to', 'obtain', 'the', 'boundedness', 'for', 'e_1', 'energy', 'in', 'the', 'study', 'of', 'general', 'kahler', 'manifolds']] | [-0.11096457344217178, 0.0513816847953235, -0.1830336518275241, 0.11612906639661211, -0.11882296469635688, -0.10225155497662342, 0.03557087506245201, 0.2851295546503164, -0.25860457862607944, -0.23970241884056193, 0.12205061999012311, -0.2512093302555, -0.17094887532771397, 0.2713665137103257, -0.14997584710064799, -0.011099108721678838, 0.04136210477027374, 0.05631921871398122, -0.07496169233360352, -0.252662806192604, 0.411254321048872, -0.03286382572677655, 0.25868631230714995, 0.23192822138587824, 0.08679479929523017, 0.058452827241032936, -0.009444260271266103, -0.07918120563203374, -0.21138788979750153, 0.16644519354360035, 0.21720903252776808, 0.09877043719498967, 0.2113244467152235, -0.43242287437598675, -0.16438318191406628, 0.1587450068611174, 0.13304019064451447, 0.07095337958815388, -0.051517977664330736, -0.2510163023446997, 0.0618400391525565, -0.06133381027477579, -0.20251135824200434, -0.1002950726602322, -0.033403132803356037, 0.01586297247857333, -0.19556884333276406, 0.06279406506375661, 0.2088744464234855, 0.048611807553336404, -0.09046797367045656, -0.058194086413818576, -0.01225821838941043, 0.03520544391507522, 0.0770116495505835, 0.06801421960923247, 0.08121867017605557, -0.041142288234252006, -0.09568528489520152, 0.32737429924786854, -0.0628025005870045, -0.24715619051876742, 0.13368426939884487, -0.0917225290949528, -0.1608520090305366, 0.06577637761783524, 0.11698898233664341, 0.1865432494952797, -0.09146551355773297, 0.17744501973785914, -0.10699310699382271, 0.128672727312033, 0.08742158296398628, 0.02127669536499665, 0.10173961522583014, 0.11095347161142108, 0.17029071408204544, 0.1217939091894107, 0.012146895109580304, -0.08495147537308721, -0.40207284526565135, -0.2115772583653243, -0.22286101274837095, 0.19233083266795475, -0.11352226327047295, -0.19393875762724724, 0.3868779867218855, 0.09385192610371189, 0.16465179874108005, 0.13739898088029945, 0.30881762872330654, 0.10870865774967779, 0.009833959355138434, 0.06398513270780826, 0.25787036216411835, 0.16514993710920978, 0.09541446888425316, -0.14507361017585468, -0.020685126843790595, 0.19707426600190303] |
710.4321 | Coarse Grained Liouville Dynamics of piecewise linear discontinuous maps | We compute the spectrum of the classical and quantum mechanical
coarse-grained propagators for a piecewise linear discontinuous map. We analyze
the quantum - classical correspondence and the evolution of the spectrum with
increasing resolution. Our results are compared to the ones obtained for a
mixed system.
| quant-ph nlin.CD | we compute the spectrum of the classical and quantum mechanical coarsegrained propagators for a piecewise linear discontinuous map we analyze the quantum classical correspondence and the evolution of the spectrum with increasing resolution our results are compared to the ones obtained for a mixed system | [['we', 'compute', 'the', 'spectrum', 'of', 'the', 'classical', 'and', 'quantum', 'mechanical', 'coarsegrained', 'propagators', 'for', 'a', 'piecewise', 'linear', 'discontinuous', 'map', 'we', 'analyze', 'the', 'quantum', 'classical', 'correspondence', 'and', 'the', 'evolution', 'of', 'the', 'spectrum', 'with', 'increasing', 'resolution', 'our', 'results', 'are', 'compared', 'to', 'the', 'ones', 'obtained', 'for', 'a', 'mixed', 'system']] | [-0.09974385609643327, 0.08367308197129104, -0.11885096557024452, 0.06048795487731695, -0.004967414548931023, -0.1205207902731167, 0.0028347365040746, 0.3350112497806549, -0.3125494288073646, -0.24577539306547908, 0.09995313560486668, -0.2987799475590388, -0.14727263429926502, 0.2127740694416894, -0.02647130336198542, 0.11910599662611882, 0.07081598427353633, 0.02767313070491784, -0.12030607577827242, -0.1748787057896455, 0.31163745522499087, 0.04593782732780609, 0.24874215366111863, -0.012196925116909875, 0.10985819992298881, 0.005955373397510913, -0.03696507934687866, 0.03762916543572727, -0.14247444912584292, 0.156753755091793, 0.2093453789750735, 0.06565243420708511, 0.19559818195799986, -0.39585246708658006, -0.2492247361689806, 0.08574156326552232, 0.09340889485966829, 0.1628492749399609, -0.025387394221292603, -0.26730880468255946, 0.11431059891151057, -0.16597984271744887, -0.12164521298060814, -0.0998052775238951, -0.057135895888010664, 0.011528506709469689, -0.24615732094066012, 0.08229363291627831, 0.01830937382247713, 0.0684894809499383, -0.09853434469550848, -0.06695061544111619, -0.016023986098460025, 0.1605869711066286, -0.06472754370835092, -0.007353315274748537, 0.09288944000792172, -0.17103426254664858, -0.125066055642027, 0.3909442872636848, -0.10626955615460044, -0.20251475961671936, 0.2382589846021599, -0.15227148988180692, -0.10367606164784067, 0.0920518868499332, 0.11425068661984471, 0.12221208123697175, -0.074853086968263, 0.0953950432413775, -0.0030838825325998995, 0.1589276508324676, 0.03439116381729643, 0.05288080996833742, 0.14048889995449118, 0.08575319196614954, 0.03842016470928987, 0.19546480918199652, -0.04812835093794598, -0.20403412346624666, -0.3104604753355185, -0.1793544842551152, -0.1941908368633853, 0.03979741882325875, -0.11579540475310447, -0.18563504818982135, 0.4231500759720802, 0.09634721344078166, 0.19316158431271713, 0.15200618421658874, 0.27658322610788877, 0.20179154907301483, 0.0006294974436362584, 0.036788337574236926, 0.23562110043648216, 0.1757571186663376, 0.1258710904460814, -0.2962942831632164, -0.04667963991976447, 0.06674766743348705] |
710.4322 | Exotic strange multibaryon states searches with $\Lambda$- hyperon and
$K^0_s$- meson systems in p+A collisions at momentum 10 GeV/c | Review for exotic strange multibaryon states were obseved in the effective
mass spectra of: 1)$\Lambda \pi^+$, $\Lambda \pi^-$, $\Lambda p$, $\Lambda p
p$, and $\Lambda K^0_S$, $K^0_S\pi^{\pm}$ and $K^0_Sp$ subsystems.The invariant
mass of $\Lambda \pi^+$ and $K^0_S\pi^{\pm}$ spectra has observed well known
$\Sigma^{*+}$(1385) and $K^{*\pm}$(892) resonances. The width of
$\Sigma^{*-}(1385)$ for p+A reaction is two time larger than that presented in
PDG. The cross section of $\Xi^-\to \Lambda \pi^-$ is 7-8 times larger than
expected geometrical cross section in p+propane interaction. A few events
detected on the photographs of the propane bubble chamber, were interpreted as
S=-2 light and heavy $H^{0,+}$ dibaryons.
| hep-ex | review for exotic strange multibaryon states were obseved in the effective mass spectra of 1lambda pi lambda pi lambda p lambda p p and lambda k0_s k0_spipm and k0_sp subsystemsthe invariant mass of lambda pi and k0_spipm spectra has observed well known sigma1385 and kpm892 resonances the width of sigma1385 for pa reaction is two time larger than that presented in pdg the cross section of xito lambda pi is 78 times larger than expected geometrical cross section in ppropane interaction a few events detected on the photographs of the propane bubble chamber were interpreted as s2 light and heavy h0 dibaryons | [['review', 'for', 'exotic', 'strange', 'multibaryon', 'states', 'were', 'obseved', 'in', 'the', 'effective', 'mass', 'spectra', 'of', '1lambda', 'pi', 'lambda', 'pi', 'lambda', 'p', 'lambda', 'p', 'p', 'and', 'lambda', 'k0_s', 'k0_spipm', 'and', 'k0_sp', 'subsystemsthe', 'invariant', 'mass', 'of', 'lambda', 'pi', 'and', 'k0_spipm', 'spectra', 'has', 'observed', 'well', 'known', 'sigma1385', 'and', 'kpm892', 'resonances', 'the', 'width', 'of', 'sigma1385', 'for', 'pa', 'reaction', 'is', 'two', 'time', 'larger', 'than', 'that', 'presented', 'in', 'pdg', 'the', 'cross', 'section', 'of', 'xito', 'lambda', 'pi', 'is', '78', 'times', 'larger', 'than', 'expected', 'geometrical', 'cross', 'section', 'in', 'ppropane', 'interaction', 'a', 'few', 'events', 'detected', 'on', 'the', 'photographs', 'of', 'the', 'propane', 'bubble', 'chamber', 'were', 'interpreted', 'as', 's2', 'light', 'and', 'heavy', 'h0', 'dibaryons']] | [-0.1158205429045013, 0.23600004617162426, -0.07808012868050777, 0.13954197560117176, -0.006187411486124149, -0.16170544595448205, -0.0014143416827375238, 0.32487601706889846, -0.17228773626207253, -0.26893168192526157, -0.07860681188241062, -0.3866567833706586, 0.04000718647030869, 0.12988972670934867, 0.08319102554121102, 0.08008600939112255, 0.0580205382036064, 0.11033638157044547, 0.011558810504143964, -0.15454587455123964, 0.24985174631530588, 0.0018195158983063367, 0.1357290813548848, 0.10487302019251417, 0.007740651847350157, 0.005300094956776711, -0.020954930722111402, -0.06498494480896477, -0.22721494038419085, 0.010800050807331284, 0.24705825569731363, 0.06086375569040426, 0.07595183555921069, -0.2807296685723945, -0.08374536112233093, 0.1239855171456425, 0.19324880789946577, 0.018421193904647925, 0.018375925168235118, -0.3403130848092413, 0.1358179202482029, -0.15928135915762848, -0.14260055356179224, -0.006590619956077349, 0.17406958044798235, -0.05013625420667608, -0.2577902674392769, 0.108818304930482, -0.0079849994073462, 0.09588712171623201, -0.03809603525036381, -0.33301382087584996, -0.06054584021830574, -0.0271974537719154, 0.07362732319208333, 0.07523076970634672, 0.18513784879310566, -0.08212032325264781, -0.1075457523393473, 0.41085951841163515, -0.11132415015670245, -0.11532203350780589, 0.0823561709863369, -0.18618836707313252, -0.08716863683058006, 0.24573383580027808, 0.14211877215432586, 0.1163079411195911, -0.09674643795711524, 0.12861542656460326, -0.03921914792788977, 0.19901639691582232, 0.1709906320002946, 0.055854141030159565, 0.10458037862554193, 0.16829506972936367, -0.046077358122501105, 0.016063040028316804, -0.1297268633980003, -0.05205405863575788, -0.36011428692650915, -0.13107275100650662, -0.06438170182706807, 0.10940903564444696, -0.04130889025132873, -0.043423920291278395, 0.28663651504074084, -0.04519101631630099, 0.32019497142784825, -0.015076239539235078, 0.25646740410740326, 0.08672784828472732, 0.05499938606858404, 0.007581123696508432, 0.252117379624961, 0.1917160143652423, 0.10478960606504721, -0.23727310760736917, 0.04466899039430751, -0.013038904852977004] |
710.4323 | Chain-Growth Simulations of Lattice-Peptide Adsorption to Attractive
Substrates | Based on a newly developed contact-density chain-growth algorithm, we have
simulated a nongrafted peptide in the vicinity of different attractive
substrates. We analyzed the specificity of the peptide adsorption by focussing
on the conformational transitions the peptide experiences in the
binding/unbinding processes. In a single simulation run, we obtained the
contact density, i.e., the distribution of intrinsic monomer-monomer contacts
and monomer-substrate nearest-neighbor contacts. This allows a systematic
reweighting to all values of external control parameters such as temperature
and solvent quality after the simulation. The main result is the complete
solubility-temperature pseudo-phase diagram which is based on the corresponding
specific-heat profile. We find a surprisingly rich structure of pseudo-phases
that can roughly be classified into compact and expanded conformations in both
regimes, adsorption and desorption. Furthermore, underlying subphases were
identified, which, in particular, appear noticeably in the compact
pseudo-phases.
| cond-mat.soft | based on a newly developed contactdensity chaingrowth algorithm we have simulated a nongrafted peptide in the vicinity of different attractive substrates we analyzed the specificity of the peptide adsorption by focussing on the conformational transitions the peptide experiences in the bindingunbinding processes in a single simulation run we obtained the contact density ie the distribution of intrinsic monomermonomer contacts and monomersubstrate nearestneighbor contacts this allows a systematic reweighting to all values of external control parameters such as temperature and solvent quality after the simulation the main result is the complete solubilitytemperature pseudophase diagram which is based on the corresponding specificheat profile we find a surprisingly rich structure of pseudophases that can roughly be classified into compact and expanded conformations in both regimes adsorption and desorption furthermore underlying subphases were identified which in particular appear noticeably in the compact pseudophases | [['based', 'on', 'a', 'newly', 'developed', 'contactdensity', 'chaingrowth', 'algorithm', 'we', 'have', 'simulated', 'a', 'nongrafted', 'peptide', 'in', 'the', 'vicinity', 'of', 'different', 'attractive', 'substrates', 'we', 'analyzed', 'the', 'specificity', 'of', 'the', 'peptide', 'adsorption', 'by', 'focussing', 'on', 'the', 'conformational', 'transitions', 'the', 'peptide', 'experiences', 'in', 'the', 'bindingunbinding', 'processes', 'in', 'a', 'single', 'simulation', 'run', 'we', 'obtained', 'the', 'contact', 'density', 'ie', 'the', 'distribution', 'of', 'intrinsic', 'monomermonomer', 'contacts', 'and', 'monomersubstrate', 'nearestneighbor', 'contacts', 'this', 'allows', 'a', 'systematic', 'reweighting', 'to', 'all', 'values', 'of', 'external', 'control', 'parameters', 'such', 'as', 'temperature', 'and', 'solvent', 'quality', 'after', 'the', 'simulation', 'the', 'main', 'result', 'is', 'the', 'complete', 'solubilitytemperature', 'pseudophase', 'diagram', 'which', 'is', 'based', 'on', 'the', 'corresponding', 'specificheat', 'profile', 'we', 'find', 'a', 'surprisingly', 'rich', 'structure', 'of', 'pseudophases', 'that', 'can', 'roughly', 'be', 'classified', 'into', 'compact', 'and', 'expanded', 'conformations', 'in', 'both', 'regimes', 'adsorption', 'and', 'desorption', 'furthermore', 'underlying', 'subphases', 'were', 'identified', 'which', 'in', 'particular', 'appear', 'noticeably', 'in', 'the', 'compact', 'pseudophases']] | [-0.11395788537807387, 0.1311458510693444, -0.10739588630285195, 0.043810865584687206, -0.0038259202252617845, -0.12363478085009394, 0.09519446044892287, 0.41921031359824346, -0.20680541184160475, -0.2810166512997888, 0.025235834643713755, -0.25454074365981744, -0.14871920640546854, 0.16065983707127127, 0.019934821043920657, 0.00901462042818546, 0.04350589386274596, -0.006888041477114391, -0.06216619857637171, -0.2106482310826964, 0.2598579349699799, 0.052950138504208204, 0.2866335941760017, 0.07684928343276219, 0.07207944793057153, 0.005234182148957424, 0.034408314171977504, 0.049210782859662024, -0.19618340402117324, 0.07654247742159653, 0.22773074954346145, 0.012232778423043678, 0.18984122288399946, -0.40791370952836903, -0.21551026535227144, 0.05006426648846526, 0.14556374851775042, 0.12091975243219423, -0.044679815878022944, -0.29118176553693176, 0.050628396153128405, -0.1298383775321271, -0.07034444278223347, -0.06941181366003567, -0.006334278548283757, 0.0881746540603181, -0.2244939565949189, 0.08751104702927438, 0.01720705565957942, 0.06881252378091324, -0.08260217095472307, -0.13342701727792405, -0.08409701743357473, 0.14095409079739596, 0.013980856212191016, 0.008419695859707945, 0.22807024404567353, -0.09340856787782136, -0.07924901155366314, 0.3575152832371511, -0.0472961912842856, -0.16392840847051401, 0.21169126357735812, -0.1276100307733169, -0.16637851221138517, 0.189302203245461, 0.14092541697776162, 0.11413949576923423, -0.1582557693623817, 0.05015627534644638, 0.032275549379820606, 0.1875656159634856, 0.06693231344236422, -0.046453138002656776, 0.19373185689755373, 0.20695484342495743, -0.004591372615336139, 0.17646930829316995, -0.11739507457073912, -0.12634735871039385, -0.23614662662006097, -0.15373941934198515, -0.17646194859190087, 0.0448110111580371, -0.10600194385528176, -0.18634199783567795, 0.3788636511647337, 0.0964318544757988, 0.21337382111483985, 0.020020559537324973, 0.2258386919810939, 0.05083078356952199, 0.06400344556988143, 0.014685016679879037, 0.19455420848973792, 0.0950650932458263, 0.056667279791281215, -0.25330667853650213, 0.1134124486032947, 0.03836967141313894] |
710.4324 | A sharp inequality and its applications | We establish an analog Hardy inequality with sharp constant involving
exponential weight function. The special case of this inequality (for n=2)
leads to a direct proof of Onofri inequality on S^2.
| math.AP math.DG | we establish an analog hardy inequality with sharp constant involving exponential weight function the special case of this inequality for n2 leads to a direct proof of onofri inequality on s2 | [['we', 'establish', 'an', 'analog', 'hardy', 'inequality', 'with', 'sharp', 'constant', 'involving', 'exponential', 'weight', 'function', 'the', 'special', 'case', 'of', 'this', 'inequality', 'for', 'n2', 'leads', 'to', 'a', 'direct', 'proof', 'of', 'onofri', 'inequality', 'on', 's2']] | [-0.14288165766535507, 0.014228834579567305, -0.03577700840129006, 0.08031489445842922, -0.07656293116029232, -0.23944029390751834, 0.05501694426376132, 0.25049789377578324, -0.2688460586772811, -0.23122051316163234, 0.11270031613868571, -0.25234267428787727, -0.1470347416677302, 0.2464003130312889, -0.10043422904826942, 0.047252159505601854, -0.00676603386959722, 0.05700347386300564, -0.11712059203625447, -0.2514056373507746, 0.32380467521086814, -0.016558036027896787, 0.19190673674306563, 0.14905609800330094, 0.037032635642155524, 0.07466891516120203, 0.03192776820111659, -0.12747256340639246, -0.2943363368150688, 0.19950936480815853, 0.1812016712051005, 0.09474444453934988, 0.2871168573056498, -0.42613355118420815, -0.1285120571452764, 0.23898888568604185, 0.1118126348141701, -0.0070333707957498486, -0.07020213994603124, -0.26210079419486704, -0.055232627527608026, -0.08734816369870978, -0.2355228380089806, -0.046035296178513, -0.019456519294650323, -0.007100711486512615, -0.38803078967236704, 0.22762986732226226, 0.1398512489733196, 0.03027363016360229, -0.10883477561536335, -0.1033161083882254, 0.09890288727418069, -0.027419771788822066, 0.05708298135188318, 0.09608566654740923, 0.01553908921778202, -0.04234354263321767, -0.12558621847100795, 0.23146276872965596, -0.09275495181340844, -0.2279604671883487, 0.09894718656376485, -0.14262206810376338, -0.1764045526694146, 0.02041935405859183, 0.09368925245719091, 0.14083172410966888, -0.03232853880692874, 0.1638587412214087, -0.1400487165777914, 0.14283665155451145, 0.160937603322729, 0.07618010741087698, -0.0340333883199961, 0.028617517241547184, 0.24989580615393578, 0.26870907539682043, 0.01632309991410077, -0.11808646578461893, -0.40831693862715074, -0.29844592316376584, -0.2210984325952708, 0.21995820585758455, -0.22158258147969573, -0.1761142771330572, 0.2475482743353613, -0.08647329008747492, 0.1767873146999327, 0.12902119157895928, 0.18447134944219742, 0.18309200161527242, 0.05292537014540886, -0.03892027929490019, 0.22366044021421863, 0.24005502382022958, 0.08677027620855839, -0.11083090281294238, 0.011842167422723687, 0.25386101043512743] |
710.4325 | Three-electron anisotropic quantum dots in variable magnetic fields:
exact results for excitation spectra, spin structures, and entanglement | Exact-diagonalization calculations for N=3 electrons in anisotropic quantum
dots, covering a broad range of confinement anisotropies and strength of
inter-electron repulsion, are presented for zero and low magnetic fields. The
excitation spectra are analyzed as a function of the strength of the magnetic
field and for increasing quantum-dot anisotropy. Analysis of the intrinsic
structure of the many-body wave functions through spin-resolved two-point
correlations reveals that the electrons tend to localize forming Wigner
molecules. For certain ranges of dot parameters (mainly at strong anisotropy),
the Wigner molecules acquire a linear geometry, and the associated wave
functions with a spin projection S_z=1/2 are similar to the representative
class of strongly entangled states referred to as W-states. For other ranges of
parameters (mainly at intermediate anisotropy), the Wigner molecules exhibit a
more complex structure consisting of two mirror isosceles triangles. This
latter structure can be viewed as an embryonic unit of a zig-zag Wigner crystal
in quantum wires. The degree of entanglement in three-electron quantum dots can
be quantified through the use of the von Neumann entropy.
| cond-mat.mes-hall cond-mat.str-el physics.comp-ph quant-ph | exactdiagonalization calculations for n3 electrons in anisotropic quantum dots covering a broad range of confinement anisotropies and strength of interelectron repulsion are presented for zero and low magnetic fields the excitation spectra are analyzed as a function of the strength of the magnetic field and for increasing quantumdot anisotropy analysis of the intrinsic structure of the manybody wave functions through spinresolved twopoint correlations reveals that the electrons tend to localize forming wigner molecules for certain ranges of dot parameters mainly at strong anisotropy the wigner molecules acquire a linear geometry and the associated wave functions with a spin projection s_z12 are similar to the representative class of strongly entangled states referred to as wstates for other ranges of parameters mainly at intermediate anisotropy the wigner molecules exhibit a more complex structure consisting of two mirror isosceles triangles this latter structure can be viewed as an embryonic unit of a zigzag wigner crystal in quantum wires the degree of entanglement in threeelectron quantum dots can be quantified through the use of the von neumann entropy | [['exactdiagonalization', 'calculations', 'for', 'n3', 'electrons', 'in', 'anisotropic', 'quantum', 'dots', 'covering', 'a', 'broad', 'range', 'of', 'confinement', 'anisotropies', 'and', 'strength', 'of', 'interelectron', 'repulsion', 'are', 'presented', 'for', 'zero', 'and', 'low', 'magnetic', 'fields', 'the', 'excitation', 'spectra', 'are', 'analyzed', 'as', 'a', 'function', 'of', 'the', 'strength', 'of', 'the', 'magnetic', 'field', 'and', 'for', 'increasing', 'quantumdot', 'anisotropy', 'analysis', 'of', 'the', 'intrinsic', 'structure', 'of', 'the', 'manybody', 'wave', 'functions', 'through', 'spinresolved', 'twopoint', 'correlations', 'reveals', 'that', 'the', 'electrons', 'tend', 'to', 'localize', 'forming', 'wigner', 'molecules', 'for', 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710.4326 | Some Asymptotic Behavior of the first Eigenvalue along the Ricci Flow | We study some asymptotic behavior of the first nonzero eigenvalue of the
Lalacian along the normalized Ricci flow and give a direct short proof for an
asymptotic upper limit estimate.
| math.DG math.AP | we study some asymptotic behavior of the first nonzero eigenvalue of the lalacian along the normalized ricci flow and give a direct short proof for an asymptotic upper limit estimate | [['we', 'study', 'some', 'asymptotic', 'behavior', 'of', 'the', 'first', 'nonzero', 'eigenvalue', 'of', 'the', 'lalacian', 'along', 'the', 'normalized', 'ricci', 'flow', 'and', 'give', 'a', 'direct', 'short', 'proof', 'for', 'an', 'asymptotic', 'upper', 'limit', 'estimate']] | [-0.21763925575490656, 0.05447001198501374, -0.17396445423043494, 0.08225267213480227, -0.09717016410211037, -0.07487105075591083, 0.02180797979235649, 0.2653919470271674, -0.2162960503121902, -0.20441622910057677, 0.18743392161960745, -0.2921259942753562, -0.11900419876148025, 0.18898295855213856, -0.007303512157422715, 0.03390922654291679, 0.07335664688384738, 0.13650596106489157, -0.07414522892313785, -0.16346631512238546, 0.28056358610247745, 0.02129909164946655, 0.2533871217406002, 0.15919107179446468, 0.1169145201043836, -0.021033811816496068, -0.03370417057183282, -0.04684252205208458, -0.3134880578145385, 0.1241152333898534, 0.16142483333382626, 0.027939317009315408, 0.25165665201072035, -0.4013025339307456, -0.11849906300355134, 0.17311979538022443, 0.20482075058630314, 0.08289612547076981, -0.02594709534454962, -0.2532938552442296, 0.13996061666643825, -0.14781600089165672, -0.21160296456494915, -0.04019771204811746, 0.008661437394290135, 0.048606831596457754, -0.24131743507138614, 0.0814118694899411, 0.16021800587146445, 0.09124875883471445, -0.06466949679728212, -0.1456043713822447, 0.05002113823489896, 0.1368014713877748, 0.14696933374065776, -0.08574421741550081, 0.021709069497241027, -0.12803825851658296, -0.021056237277285807, 0.23937135870600568, -0.195807502155417, -0.16675890195344029, 0.08241004830804365, -0.12300414200229891, -0.11786937842081333, 0.0902317581890986, 0.1988237239420414, 0.1859151043062066, -0.11592178033054645, 0.08087242741322402, -0.08298022621150675, 0.08910959310315807, 0.09135069312720463, 0.03939851206438295, 0.14662981415488596, 0.1126663528768153, 0.1941813226339632, 0.19061706335572848, -0.040884796979612316, -0.08647760106571789, -0.43962064025730924, -0.2314853637382902, -0.23444217719651503, 0.13978170359442973, -0.2197812165174802, -0.20529833159826952, 0.39944075311309307, 0.07556538910059066, 0.2710259710920268, 0.2060829364084478, 0.28865862894674826, 0.19471343253450146, -0.10631689045514012, 0.11884187300015113, 0.24843693247309823, 0.2487800353816871, 0.08352913540498964, -0.2265924104200355, 0.03571837177050525, 0.19800831820687342] |
710.4327 | Single photon Mach-Zehnder interferometer for quantum networks based on
the Single Photon Faraday Effect: principle and applications | Combining the recent progress in semiconductor nanostructures along with the
versatility of photonic crystals in confining and manipulating light, quantum
networks allow for the prospect of an integrated and low power quantum
technology. Within quantum networks, which consist of a system of waveguides
and nanocavities with embedded quantum dots, it has been demonstrated in theory
that many-qubit states stored in electron spins could be teleported from one
quantum dot to another via a single photon using the Single Photon Faraday
Effect. However, in addition to being able to transfer quantum information from
one location to another, quantum networks need added functionality such as (1)
controlling the flow of the quantum information and (2) performing specific
operations on qubits that can be easily integrated. In this paper, we show how
in principle a single photon Mach-Zehnder interferometer, which uses the
concept of the single photon Faraday Effect to manipulate the geometrical phase
of a single photon, can be operated both as a switch to control the flow of
quantum information inside the quantum network and as various single qubit
quantum gates to perform operations on a single photon. Our proposed
Mach-Zehnder interferometer can be fully integrated as part of a quantum
network on a chip. Given that the X gate, the Z gate, and the XZ gate are
essential for the implementation of quantum teleportation, we show explicitly
their implementation by means of our proposed single photon Mach-Zehnder
interferometer. We also show explicitly the implementation of the Hadamard gate
and the single-qubit phase gate, which are needed to complete the universal set
of quantum gates for integrated quantum computing in a quantum network.
| cond-mat.mes-hall | combining the recent progress in semiconductor nanostructures along with the versatility of photonic crystals in confining and manipulating light quantum networks allow for the prospect of an integrated and low power quantum technology within quantum networks which consist of a system of waveguides and nanocavities with embedded quantum dots it has been demonstrated in theory that manyqubit states stored in electron spins could be teleported from one quantum dot to another via a single photon using the single photon faraday effect however in addition to being able to transfer quantum information from one location to another quantum networks need added functionality such as 1 controlling the flow of the quantum information and 2 performing specific operations on qubits that can be easily integrated in this paper we show how in principle a single photon machzehnder interferometer which uses the concept of the single photon faraday effect to manipulate the geometrical phase of a single photon can be operated both as a switch to control the flow of quantum information inside the quantum network and as various single qubit quantum gates to perform operations on a single photon our proposed machzehnder interferometer can be fully integrated as part of a quantum network on a chip given that the x gate the z gate and the xz gate are essential for the implementation of quantum teleportation we show explicitly their implementation by means of our proposed single photon machzehnder interferometer we also show explicitly the implementation of the hadamard gate and the singlequbit phase gate which are needed to complete the universal set of quantum gates for integrated quantum computing in a quantum network | [['combining', 'the', 'recent', 'progress', 'in', 'semiconductor', 'nanostructures', 'along', 'with', 'the', 'versatility', 'of', 'photonic', 'crystals', 'in', 'confining', 'and', 'manipulating', 'light', 'quantum', 'networks', 'allow', 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710.4328 | How Very Massive Metal Free Stars Start Cosmological Reionization | (Abridged) Using ab initio cosmological Eulerian adaptive mesh refinement
radiation hydrodynamical calculations, we discuss how very massive stars start
the process of cosmological reionization. The models include non-equilibrium
primordial gas chemistry and cooling processes and accurate radiation transport
in the Case B approximation using adaptively ray traced photon packages,
retaining the time derivative in the transport equation. Supernova feedback is
modeled by thermal explosions triggered at parsec scales. All calculations
resolve the local Jeans length by at least 16 grid cells at all times and as
such cover a spatial dynamic range of ~10^6. These first sources of
reionization are highly intermittent and anisotropic and first photoionize the
small scales voids surrounding the halos they form in, rather than the dense
filaments they are embedded in. As the merging objects form larger, dwarf sized
galaxies, the escape fraction of UV radiation decreases and the HII regions
only break out on some sides of the galaxies making them even more anisotropic.
In three cases, SN blast waves induce star formation in overdense regions that
were formed earlier from ionization front instabilities. These stars form tens
of parsecs away from the center of their parent DM halo. Approximately 5
ionizing photons are needed per sustained ionization when star formation in
10^6 M_sun halos are dominant in the calculation. As the halos become larger
than ~10^7 M_sun, the ionizing photon escape fraction decreases, which in turn
increases the number of photons per ionization to 15-50, in calculations with
stellar feedback only. Supernova feedback in these more massive halos creates a
more diffuse medium, allowing the stellar radiation to escape more easily and
maintaining the ratio of 5 ionizing photons per sustained ionization.
| astro-ph | abridged using ab initio cosmological eulerian adaptive mesh refinement radiation hydrodynamical calculations we discuss how very massive stars start the process of cosmological reionization the models include nonequilibrium primordial gas chemistry and cooling processes and accurate radiation transport in the case b approximation using adaptively ray traced photon packages retaining the time derivative in the transport equation supernova feedback is modeled by thermal explosions triggered at parsec scales all calculations resolve the local jeans length by at least 16 grid cells at all times and as such cover a spatial dynamic range of 106 these first sources of reionization are highly intermittent and anisotropic and first photoionize the small scales voids surrounding the halos they form in rather than the dense filaments they are embedded in as the merging objects form larger dwarf sized galaxies the escape fraction of uv radiation decreases and the hii regions only break out on some sides of the galaxies making them even more anisotropic in three cases sn blast waves induce star formation in overdense regions that were formed earlier from ionization front instabilities these stars form tens of parsecs away from the center of their parent dm halo approximately 5 ionizing photons are needed per sustained ionization when star formation in 106 m_sun halos are dominant in the calculation as the halos become larger than 107 m_sun the ionizing photon escape fraction decreases which in turn increases the number of photons per ionization to 1550 in calculations with stellar feedback only supernova feedback in these more massive halos creates a more diffuse medium allowing the stellar radiation to escape more easily and maintaining the ratio of 5 ionizing photons per sustained ionization | [['abridged', 'using', 'ab', 'initio', 'cosmological', 'eulerian', 'adaptive', 'mesh', 'refinement', 'radiation', 'hydrodynamical', 'calculations', 'we', 'discuss', 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710.4329 | On tilting modules over cluster-tilted algebras | In this paper, we show that the tilting modules over a cluster-tilted algebra
$A$ lift to tilting objects in the associated cluster category $\mathcal{C}_H$.
As a first application, we describe the induced exchange relation for tilting
$A$-modules arising from the exchange relation for tilting object in
$\mathcal{C}_H$. As a second application, we exhibit tilting $A$-modules having
cluster-tilted endomorphism algebras.
| math.RT math.RA | in this paper we show that the tilting modules over a clustertilted algebra a lift to tilting objects in the associated cluster category mathcalc_h as a first application we describe the induced exchange relation for tilting amodules arising from the exchange relation for tilting object in mathcalc_h as a second application we exhibit tilting amodules having clustertilted endomorphism algebras | [['in', 'this', 'paper', 'we', 'show', 'that', 'the', 'tilting', 'modules', 'over', 'a', 'clustertilted', 'algebra', 'a', 'lift', 'to', 'tilting', 'objects', 'in', 'the', 'associated', 'cluster', 'category', 'mathcalc_h', 'as', 'a', 'first', 'application', 'we', 'describe', 'the', 'induced', 'exchange', 'relation', 'for', 'tilting', 'amodules', 'arising', 'from', 'the', 'exchange', 'relation', 'for', 'tilting', 'object', 'in', 'mathcalc_h', 'as', 'a', 'second', 'application', 'we', 'exhibit', 'tilting', 'amodules', 'having', 'clustertilted', 'endomorphism', 'algebras']] | [-0.2070903225675604, 0.051920168038647053, -0.04224010935779345, 0.07035670460249155, -0.145668580338864, -0.10372882478444254, -0.03637188148755833, 0.44207113468230275, -0.49532895484718226, -0.17655484051585701, 0.047257589044096736, -0.18195982258451188, -0.17580371280595408, 0.17376890382334842, -0.17879695246406532, -0.19614817940835225, 0.10302718499896385, 0.11019426082276691, -0.07627940730002346, -0.21088864215476028, 0.4591836578260034, -0.03444734040916092, 0.23882901899011458, -0.03961948076089434, 0.18167782431247376, 0.07097323492990207, 0.053339898629682296, 0.0675803724108106, -0.1961901184213121, 0.11029403347332599, 0.3414403891064606, 0.00682837176689152, 0.1660281739547164, -0.2545446700463861, 0.029200398031685313, 0.12028610245403597, 0.17696398387710421, 0.12101731561440027, -0.10060290400317665, -0.24840036130873328, 0.11494920104426348, -0.39176782037494545, -0.10598925602132991, -0.04429831109562163, 0.12697142239470602, 0.02885810001674345, -0.23826120217662242, -0.0026379121720033175, 0.10586675944722305, 0.20500809446340268, -0.21972850338413807, -0.01406311752842897, -0.10350105444253502, 0.08829743566654497, -0.0827896437781342, 0.023450133232873375, 0.14874800388559195, -0.1546516164592704, -0.19774808327399068, 0.32559967391445477, -0.03516198044358674, -0.1718617042810735, 0.16004528335721815, -0.1555220724036128, -0.1482495909114763, 0.08265692701215967, 0.03022662411301823, 0.11416593248466567, -0.022281521741869086, 0.17732589150447461, -0.10473106286914671, 0.018338843990685576, 0.11426523540532059, -0.012340442222243144, 0.1741624431510977, 0.14066586832878952, 0.037915679535402334, 0.2241753387833172, -0.04653351293123027, 0.007214393293074632, -0.37464260903455443, -0.20311559922203926, -0.06360926022516343, 0.12641332001756814, -0.055116971354868455, -0.1642782044107631, 0.354436777662328, 0.18499258299500254, 0.24179330946467184, 0.12515449159289316, 0.19702079543307172, -0.013029206421826098, 0.17867600090675434, -0.03940808181567078, 0.17429380605028846, 0.30247716465175656, -0.01127209350016852, -0.1364613912404728, -0.015164790367234057, 0.21511730241936522] |
710.433 | NLO evolution of color dipoles | The small-$x$ deep inelastic scattering in the saturation region is governed
by the non-linear evolution of Wilson-line operators. In the leading
logarithmic approximation it is given by the BK equation for the evolution of
color dipoles. In the next-to-leading order the BK equation gets contributions
from quark and gluon loops as well as from the tree gluon diagrams with
quadratic and cubic nonlinearities. We calculate the gluon contribution to
small-x evolution of Wilson lines (the quark part was obtained earlier).
| hep-ph | the smallx deep inelastic scattering in the saturation region is governed by the nonlinear evolution of wilsonline operators in the leading logarithmic approximation it is given by the bk equation for the evolution of color dipoles in the nexttoleading order the bk equation gets contributions from quark and gluon loops as well as from the tree gluon diagrams with quadratic and cubic nonlinearities we calculate the gluon contribution to smallx evolution of wilson lines the quark part was obtained earlier | [['the', 'smallx', 'deep', 'inelastic', 'scattering', 'in', 'the', 'saturation', 'region', 'is', 'governed', 'by', 'the', 'nonlinear', 'evolution', 'of', 'wilsonline', 'operators', 'in', 'the', 'leading', 'logarithmic', 'approximation', 'it', 'is', 'given', 'by', 'the', 'bk', 'equation', 'for', 'the', 'evolution', 'of', 'color', 'dipoles', 'in', 'the', 'nexttoleading', 'order', 'the', 'bk', 'equation', 'gets', 'contributions', 'from', 'quark', 'and', 'gluon', 'loops', 'as', 'well', 'as', 'from', 'the', 'tree', 'gluon', 'diagrams', 'with', 'quadratic', 'and', 'cubic', 'nonlinearities', 'we', 'calculate', 'the', 'gluon', 'contribution', 'to', 'smallx', 'evolution', 'of', 'wilson', 'lines', 'the', 'quark', 'part', 'was', 'obtained', 'earlier']] | [-0.060313132515875625, 0.19368438592064194, -0.14165726818609983, 0.13438974394230171, -0.06639484658662695, -0.013813896139618009, -0.008313386233567144, 0.31744461914058775, -0.22614712406648324, -0.2102100834483281, 0.01435351076797815, -0.3317162823746912, -0.07713806238607504, 0.07692775802570395, 0.08046121746701829, 0.09645237042277585, 0.006529208924621344, -0.006622976355720312, -0.038633192860288545, -0.2853993652155623, 0.4141175194294192, -0.005244725701413699, 0.18735749609186314, 0.1406617742322851, 0.08669551435741596, 0.05121861895313486, -0.07925535645917989, -0.055579819181002674, -0.08966046480927617, 0.016930002812296154, 0.2255816916396725, -0.014276947150938213, 0.12495973224868066, -0.3875755357788876, -0.1520219301281031, 0.00696419388987124, 0.17699005054309963, 0.15462186274235137, 0.044892805456765925, -0.23309580454370007, 0.013839788894210869, -0.17721725990995765, -0.20275762371020392, -0.07890168410376645, -0.010601823765318841, -0.0038890206487849355, -0.3197044948581606, 0.08187469423864968, 0.013029195777198766, -0.036390734056476505, -0.02078144666738808, -0.187253071408486, -0.09229631185298785, 0.06382653976907023, 0.06729522128007374, 0.14504575736937114, 0.10005542974104173, -0.3072254529048223, -0.11807200750336051, 0.3729947844520211, -0.11800309276004554, -0.12612045325804502, 0.06033187660505064, -0.23034932398004457, -0.08461566239129752, 0.17653383281895002, 0.16428402754245325, 0.11251185157998407, -0.21649110933067278, 0.19595059032872086, 0.01191014563664794, 0.11165740678552538, 0.10795137218665332, 0.020540153472393286, 0.14192281845025717, 0.1735703482525423, -0.03605622974573634, 0.16356264442802057, -0.03716664421372116, -0.16465913308784366, -0.3904660237953067, -0.020789773669093847, -0.08858821758185513, 0.05849344602756901, -0.16184429854001792, -0.15725666594225912, 0.3800013288389891, 0.06606804005859886, 0.22637454484756744, 0.0170383038232103, 0.3127118849428371, 0.2507807205511199, 0.12313988985843025, 0.10611707307980396, 0.2606374162482098, 0.2423100113228429, 0.19218610774260014, -0.34467749478644694, 0.03027285055432003, 0.18516146888141521] |
710.4331 | SUSY QCD Corrections to Higgs Pair Production from Bottom Quark Fusion | We present a complete next-to-leading order (NLO) calculation for the total
cross section for inclusive Higgs pair production via bottom-quark fusion at
the CERN Large Hadron Collider (LHC) in the minimal supersymmetric standard
model (MSSM) and the minimal supergravity model (mSUGRA). We emphasize the
contributions of squark and gluino loops (SQCD) and the decoupling properties
of our results for heavy squark and gluino masses. The enhanced couplings of
the b quark to the Higgs bosons in supersymmetric models with large tanb yield
large NLO SQCD corrections in some regions of parameter space.
| hep-ph | we present a complete nexttoleading order nlo calculation for the total cross section for inclusive higgs pair production via bottomquark fusion at the cern large hadron collider lhc in the minimal supersymmetric standard model mssm and the minimal supergravity model msugra we emphasize the contributions of squark and gluino loops sqcd and the decoupling properties of our results for heavy squark and gluino masses the enhanced couplings of the b quark to the higgs bosons in supersymmetric models with large tanb yield large nlo sqcd corrections in some regions of parameter space | [['we', 'present', 'a', 'complete', 'nexttoleading', 'order', 'nlo', 'calculation', 'for', 'the', 'total', 'cross', 'section', 'for', 'inclusive', 'higgs', 'pair', 'production', 'via', 'bottomquark', 'fusion', 'at', 'the', 'cern', 'large', 'hadron', 'collider', 'lhc', 'in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'and', 'the', 'minimal', 'supergravity', 'model', 'msugra', 'we', 'emphasize', 'the', 'contributions', 'of', 'squark', 'and', 'gluino', 'loops', 'sqcd', 'and', 'the', 'decoupling', 'properties', 'of', 'our', 'results', 'for', 'heavy', 'squark', 'and', 'gluino', 'masses', 'the', 'enhanced', 'couplings', 'of', 'the', 'b', 'quark', 'to', 'the', 'higgs', 'bosons', 'in', 'supersymmetric', 'models', 'with', 'large', 'tanb', 'yield', 'large', 'nlo', 'sqcd', 'corrections', 'in', 'some', 'regions', 'of', 'parameter', 'space']] | [-0.04543805012034009, 0.2885133774151378, -0.011450551343960282, 0.2182662512185862, -0.04321979118116281, -0.14706167240080464, 0.027115871610990522, 0.2970974135830108, -0.11211817286422719, -0.23617332465136828, -0.03304735118012025, -0.3506040381338528, 0.07424598180122026, 0.08361284906024356, 0.065106414673526, 0.17947027866688112, 0.158442104382076, -0.048578035906362144, -0.053803619908411864, -0.32818213652353734, 0.29852558905258775, 0.0016791006479331334, 0.12245489593149851, 0.21431860781740397, 0.05026658606695254, 0.028751327696701755, -0.021605652936040828, -0.13962786614865763, -0.1413128387446151, 0.11210490448359886, 0.22636172102382893, 0.021050535129767883, 0.021110213447726615, -0.30746616703539115, -0.06893802961618033, 0.17385710447358535, 0.15981726176814054, 0.1128591941543045, -0.04709631841346298, -0.2952029449743745, 0.14387077115395147, -0.3257306758415602, -0.08267821226289253, -0.08089115722712291, -0.0740865932362478, -0.19421830874584292, -0.38601601095465216, 0.06358116270933786, -0.11910475102131782, 0.017083564725117354, 0.0858701603846503, -0.21005365261605577, -0.1827856322463207, -0.041049396275016276, 0.200228057697962, 0.007550631558684551, 0.20033963274656105, -0.29569436428542045, -0.2443166219163686, 0.41142412693158764, -0.10676602198636038, -0.1583414808391472, 0.14319720603120717, -0.21077990535970614, -0.19312349819507368, 0.14765048085246235, 0.2888751391437836, 0.12430680922578018, -0.17031845820905722, 0.3001980151014362, -0.004036241494443106, 0.1608477543163842, 0.05692203429972996, 0.06688688366937087, 0.2319191143260864, 0.241521001914921, 0.004255064954834424, 0.0470102317757783, -0.06223855423234889, -0.1260472215489363, -0.5854664544534424, -0.10527479748808495, 0.036106200240876365, 0.00020199760404901335, -0.16315375263840667, -0.11450181645341218, 0.39249252457596845, 0.14155066741691175, 0.3067199566765972, 0.07741147534334628, 0.3205901818430942, 0.060126427764771506, 0.13771905414677862, 0.019357129281517067, 0.35904905777683976, 0.159811207457729, 0.1382004127928825, -0.2555548279728416, -0.11159532890736085, 0.19364121847826501] |
710.4332 | Unzipping of two random heteropolymers: Ground state energy and finite
size effects | We have analyzed the dependence of average ground state energy per monomer,
$e$, of the complex of two random heteropolymers with quenched sequences, on
chain length, $n$, in the ensemble of chains with uniform distribution of
primary sequences. Every chain monomer is randomly and independently chosen
with the uniform probability distribution $p=1/c$ from a set of $c$ different
types A, B, C, D, .... Monomers of the first chain could form saturating
reversible bonds with monomers of the second chain. The bonds between similar
monomer types (like A--A, B--B, C--C, etc.) have the attraction energy $u$,
while the bonds between different monomer types (like A--B, A--D, B--D, etc.)
have the attraction energy $v$. The main attention is paid to the computation
of the normalized free energy $e(n)$ for intermediate chain lengths, $n$, and
different ratios $a=\frac{v}{u}$ at sufficiently low temperatures when the
entropic contribution of the loop formation is negligible compared to direct
energetic interactions between chain monomers and the partition function of the
chains is dominated by the ground state. The performed analysis allows one to
derive the force, $f$, which is necessary to apply for unzipping of two random
heteropolymer chains of equal lengths whose ends are separated by the distance
$x$, averaged over all equally distributed primary structures at low
temperatures for fixed values $a$ and $c$.
| cond-mat.stat-mech | we have analyzed the dependence of average ground state energy per monomer e of the complex of two random heteropolymers with quenched sequences on chain length n in the ensemble of chains with uniform distribution of primary sequences every chain monomer is randomly and independently chosen with the uniform probability distribution p1c from a set of c different types a b c d monomers of the first chain could form saturating reversible bonds with monomers of the second chain the bonds between similar monomer types like aa bb cc etc have the attraction energy u while the bonds between different monomer types like ab ad bd etc have the attraction energy v the main attention is paid to the computation of the normalized free energy en for intermediate chain lengths n and different ratios afracvu at sufficiently low temperatures when the entropic contribution of the loop formation is negligible compared to direct energetic interactions between chain monomers and the partition function of the chains is dominated by the ground state the performed analysis allows one to derive the force f which is necessary to apply for unzipping of two random heteropolymer chains of equal lengths whose ends are separated by the distance x averaged over all equally distributed primary structures at low temperatures for fixed values a and c | [['we', 'have', 'analyzed', 'the', 'dependence', 'of', 'average', 'ground', 'state', 'energy', 'per', 'monomer', 'e', 'of', 'the', 'complex', 'of', 'two', 'random', 'heteropolymers', 'with', 'quenched', 'sequences', 'on', 'chain', 'length', 'n', 'in', 'the', 'ensemble', 'of', 'chains', 'with', 'uniform', 'distribution', 'of', 'primary', 'sequences', 'every', 'chain', 'monomer', 'is', 'randomly', 'and', 'independently', 'chosen', 'with', 'the', 'uniform', 'probability', 'distribution', 'p1c', 'from', 'a', 'set', 'of', 'c', 'different', 'types', 'a', 'b', 'c', 'd', 'monomers', 'of', 'the', 'first', 'chain', 'could', 'form', 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710.4333 | Minimal Walking Technicolor | I report on our construction and analysis of the effective low energy
Lagrangian for the Minimal Walking Technicolor (MWT) model. The parameters of
the effective Lagrangian are constrained by imposing modified Weinberg sum
rules and by imposing a value for the S parameter estimated from the underlying
Technicolor theory. The constrained effective Lagrangian allows for an inverted
vector vs. axial-vector mass spectrum in a large part of the parameter space.
| hep-ph | i report on our construction and analysis of the effective low energy lagrangian for the minimal walking technicolor mwt model the parameters of the effective lagrangian are constrained by imposing modified weinberg sum rules and by imposing a value for the s parameter estimated from the underlying technicolor theory the constrained effective lagrangian allows for an inverted vector vs axialvector mass spectrum in a large part of the parameter space | [['i', 'report', 'on', 'our', 'construction', 'and', 'analysis', 'of', 'the', 'effective', 'low', 'energy', 'lagrangian', 'for', 'the', 'minimal', 'walking', 'technicolor', 'mwt', 'model', 'the', 'parameters', 'of', 'the', 'effective', 'lagrangian', 'are', 'constrained', 'by', 'imposing', 'modified', 'weinberg', 'sum', 'rules', 'and', 'by', 'imposing', 'a', 'value', 'for', 'the', 's', 'parameter', 'estimated', 'from', 'the', 'underlying', 'technicolor', 'theory', 'the', 'constrained', 'effective', 'lagrangian', 'allows', 'for', 'an', 'inverted', 'vector', 'vs', 'axialvector', 'mass', 'spectrum', 'in', 'a', 'large', 'part', 'of', 'the', 'parameter', 'space']] | [-0.10752552331957434, 0.19192106784508464, -0.056586160743609074, 0.11124597077390977, -0.11832902175041714, -0.15311236329642788, 0.09008626927721447, 0.27830472245945465, -0.21107751264103822, -0.3581298573740891, 0.09427805613293978, -0.21305791899649193, -0.10359925547880786, 0.091706359975173, -0.00307263709338648, 0.08038135320613427, -0.0156424338663263, 0.0525277044291475, -0.09625958991902216, -0.14912524708945837, 0.326189279832345, 0.0513835309073329, 0.23398192800980594, 0.08052503176565681, 0.1392521698341755, 0.08104854663501361, -0.03508366402238607, -0.01166797532475487, -0.15809546341853484, 0.1325568597530946, 0.15709655127887215, 0.09309751904303475, 0.15970684996406947, -0.34020463434447135, -0.2344435654942312, 0.11411351328715683, 0.12139891940169037, 0.06793597505560943, 0.006588619380324547, -0.2716251588293484, 0.07953704599557178, -0.17649291836590106, -0.1613015302357131, -0.09381352035062654, -0.017980443805988344, -0.08305543400347233, -0.3402324504618134, 0.07216690935768254, -0.025523060067955936, 0.07185848194307515, -0.07948421158777949, -0.17211441560648383, -0.06745302079445017, 0.02375520547585828, 0.09279296950137775, 0.047364615988252416, 0.15555564902190652, -0.20233239606022835, -0.07544203455493387, 0.4097220765426755, -0.1472920833554651, -0.23191631248752986, 0.09608846278861165, -0.001092557648995093, -0.11671669690736702, 0.09751109087041446, 0.13442217481455632, 0.13799369067086706, -0.16214239964527744, 0.18931780307362456, -0.060670749763292925, 0.13077960746096715, -0.006752800562285951, -0.00632443062162825, 0.22055131793022156, 0.18078525634482503, 0.06031825481248754, 0.0375417843993221, -0.04535638465479549, -0.12841043722416673, -0.39106197314602986, -0.06835375037085864, -0.1470437570807657, -0.0006509019976614841, -0.16247749148294263, -0.0855047567215349, 0.42380644328493094, 0.1127113123158259, 0.22682946928086625, 0.08885731980470675, 0.28397794429744994, 0.1487699933566286, 0.10399657138623297, 0.056302074542535205, 0.29722198886863355, 0.10222865892075268, 0.058442111878788894, -0.24986541869584472, -0.030355972244537302, 0.15282197247392365] |
710.4334 | Local bulk operators in AdS/CFT and the fate of the BTZ singularity | This paper has two parts. First we review the description of local bulk
operators in Lorentzian AdS in terms of non-local operators in the boundary
CFT. We discuss how bulk locality arises in pure AdS backgrounds and how it is
modified at finite N. Next we present some new results on BTZ black holes:
local operators can be defined inside the horizon of a finite N BTZ black hole,
in a way that suggests the BTZ geometry describes an average over black hole
microstates, but with finite N effects resolving the singularity.
| hep-th | this paper has two parts first we review the description of local bulk operators in lorentzian ads in terms of nonlocal operators in the boundary cft we discuss how bulk locality arises in pure ads backgrounds and how it is modified at finite n next we present some new results on btz black holes local operators can be defined inside the horizon of a finite n btz black hole in a way that suggests the btz geometry describes an average over black hole microstates but with finite n effects resolving the singularity | [['this', 'paper', 'has', 'two', 'parts', 'first', 'we', 'review', 'the', 'description', 'of', 'local', 'bulk', 'operators', 'in', 'lorentzian', 'ads', 'in', 'terms', 'of', 'nonlocal', 'operators', 'in', 'the', 'boundary', 'cft', 'we', 'discuss', 'how', 'bulk', 'locality', 'arises', 'in', 'pure', 'ads', 'backgrounds', 'and', 'how', 'it', 'is', 'modified', 'at', 'finite', 'n', 'next', 'we', 'present', 'some', 'new', 'results', 'on', 'btz', 'black', 'holes', 'local', 'operators', 'can', 'be', 'defined', 'inside', 'the', 'horizon', 'of', 'a', 'finite', 'n', 'btz', 'black', 'hole', 'in', 'a', 'way', 'that', 'suggests', 'the', 'btz', 'geometry', 'describes', 'an', 'average', 'over', 'black', 'hole', 'microstates', 'but', 'with', 'finite', 'n', 'effects', 'resolving', 'the', 'singularity']] | [-0.15733422835752287, 0.13276810252057697, -0.09141479199752212, 0.10576149539860047, -0.06967006514162716, -0.13790490319344983, -0.015057395421140625, 0.2832206108242921, -0.16347232609278645, -0.23540954646128026, 0.06940252361085225, -0.3637559712236828, -0.1353799048735274, 0.13538522880686366, -0.11452094309598855, 0.020592427427839975, -0.013662429475832892, 0.06282601729743993, -0.17376841583957328, -0.25544234239698754, 0.412951795829703, 0.06343989539891481, 0.25180304697309824, 0.0587821234797087, 0.08272418214271413, 0.011758131612821118, -0.00179156305713822, 0.10131626169237753, -0.16799801665286435, 0.06998979430595088, 0.27546780102926754, 0.11533284010669298, 0.2013627452644236, -0.459233028874935, -0.21751767999249633, 0.08144103749857648, 0.19762498205122742, 0.16765196853236336, -0.06050109909973917, -0.231174705327367, 0.09328296110438912, -0.23361537952745415, -0.1611475070391822, -0.031767817821515644, 0.04657060351303738, -0.1155022481334922, -0.16060482927739783, 0.1009922408114147, 0.08386813486298628, -0.043431978014743196, -0.1227763751800091, -0.017189406435531768, -0.042078928450000996, 0.11062814907737724, 0.07751095536640724, -0.0056004991613166485, 0.15659407568265402, -0.09644515936404628, -0.1467338382296831, 0.3067500345489901, -0.08808332295966861, -0.2513877597445136, 0.12765282686070903, -0.27132695212798275, -0.09319785407379917, 0.043726147648513965, 0.12052813687098576, 0.24520482714085476, -0.14281437595111682, 0.21861857233971418, -0.030582722017045497, 0.13390776990791378, 0.11973731202559303, 0.0993992546522666, 0.33084217658387904, 0.09444492907546785, 0.07062471995089689, 0.21608841272561974, 0.001002443260918169, -0.09231227388322029, -0.4019557706525792, -0.1710826516677828, -0.1539975509386631, 0.12790183100403976, -0.1934247990694016, -0.20559968110224555, 0.33902093344975426, 0.1013087268979491, 0.21235466585494578, -0.00666032104914927, 0.19052266883468488, 0.07978140617437336, 0.03478646523359677, 0.12677121888238774, 0.23253918991015424, 0.077142218310062, 0.14240674514439888, -0.2496890633761802, -0.09781874364631696, 0.17821282372587238] |
710.4335 | Denominators of cluster variables | Associated to any acyclic cluster algebra is a corresponding triangulated
category known as the cluster category. It is known that there is a one-to-one
correspondence between cluster variables in the cluster algebra and exceptional
indecomposable objects in the cluster category inducing a correspondence
between clusters and cluster-tilting objects.
Fix a cluster-tilting object T and a corresponding initial cluster. By the
Laurent phenomenon, every cluster variable can be written as a Laurent
polynomial in the initial cluster. We give conditions on T equivalent to the
fact that the denominator in the reduced form for every cluster variable in the
cluster algebra has exponents given by the dimension vector of the
corresponding module over the endomorphism algebra of T.
| math.RT math.RA | associated to any acyclic cluster algebra is a corresponding triangulated category known as the cluster category it is known that there is a onetoone correspondence between cluster variables in the cluster algebra and exceptional indecomposable objects in the cluster category inducing a correspondence between clusters and clustertilting objects fix a clustertilting object t and a corresponding initial cluster by the laurent phenomenon every cluster variable can be written as a laurent polynomial in the initial cluster we give conditions on t equivalent to the fact that the denominator in the reduced form for every cluster variable in the cluster algebra has exponents given by the dimension vector of the corresponding module over the endomorphism algebra of t | [['associated', 'to', 'any', 'acyclic', 'cluster', 'algebra', 'is', 'a', 'corresponding', 'triangulated', 'category', 'known', 'as', 'the', 'cluster', 'category', 'it', 'is', 'known', 'that', 'there', 'is', 'a', 'onetoone', 'correspondence', 'between', 'cluster', 'variables', 'in', 'the', 'cluster', 'algebra', 'and', 'exceptional', 'indecomposable', 'objects', 'in', 'the', 'cluster', 'category', 'inducing', 'a', 'correspondence', 'between', 'clusters', 'and', 'clustertilting', 'objects', 'fix', 'a', 'clustertilting', 'object', 't', 'and', 'a', 'corresponding', 'initial', 'cluster', 'by', 'the', 'laurent', 'phenomenon', 'every', 'cluster', 'variable', 'can', 'be', 'written', 'as', 'a', 'laurent', 'polynomial', 'in', 'the', 'initial', 'cluster', 'we', 'give', 'conditions', 'on', 't', 'equivalent', 'to', 'the', 'fact', 'that', 'the', 'denominator', 'in', 'the', 'reduced', 'form', 'for', 'every', 'cluster', 'variable', 'in', 'the', 'cluster', 'algebra', 'has', 'exponents', 'given', 'by', 'the', 'dimension', 'vector', 'of', 'the', 'corresponding', 'module', 'over', 'the', 'endomorphism', 'algebra', 'of', 't']] | [-0.1551309922694141, 0.0682362029259292, -0.11242672751068623, 0.061638248885352895, -0.10494381612421483, -0.11751622141490126, 0.014471844929214725, 0.37724543660262233, -0.37914059058022803, -0.23947175489499783, 0.09447169742789756, -0.18560221902707702, -0.11984627263503085, 0.15069450569561976, -0.12392569930316547, -0.07087795240963754, 0.11946380808034068, 0.1899812640542658, -0.0575082842579, -0.29722942885520875, 0.3987841326265763, -0.015030556912364788, 0.17886165669585904, -0.06372324215112907, 0.16819060312854683, 0.016388363192956418, -0.003143318363616609, 0.04257690314995523, -0.1087953016361168, 0.06708184087053976, 0.30753004132236683, 0.11850249530691813, 0.2144888913543481, -0.2883706268208682, -0.06658681868535714, 0.1809858977416546, 0.18869977476648414, 0.032040566285578616, -0.01589746138928697, -0.27564460835140997, 0.131858299096298, -0.2335909355399955, -0.14517549117310688, 0.01687112520647864, 0.16245046760250106, 0.0018380420584963937, -0.2514599107014827, 0.06484621522836706, 0.054183472692170456, 0.09166516649982549, -0.12414205459575368, -0.07637624428249322, -0.08835979774355507, 0.11225469587032452, -0.11137325329204592, 0.12259229713589208, 0.14361759258780438, -0.1436472971820169, -0.12269912207992668, 0.3439144765297508, 0.016935173432048187, -0.1802571538369854, 0.19814826475663316, -0.16334683507776412, -0.18492195869867617, 0.08606526261975622, 0.022874090800650865, 0.08670192866180187, -0.09846569216436046, 0.1839563222348284, -0.1507140016103657, 0.11122613963392428, 0.10568223398529057, 0.004382329314358086, 0.2063941489507118, 0.07279314088006304, 0.04426340222593524, 0.19317710091077334, -0.006745304399404802, -0.03573368945652539, -0.3466046552818555, -0.1481060367754191, -0.14903437078763276, 0.07255480198078176, -0.16622475387379787, -0.18302729172218177, 0.3315908802080199, 0.08989747359345739, 0.23029032185610032, 0.07888262088482197, 0.15573195851224864, 0.11215745276994367, 0.14500188142952755, 0.06627129051900513, 0.1037839278101157, 0.2789939008135762, 0.01770713702381517, -0.15638515627425578, 0.031876967455714174, 0.18348652256143272] |
710.4336 | Highly Anisotropic Vorticity Aligned Structures in a Shear Thickening
Attractive Colloidal System | Vorticity aligned cylindrical flocs of carbon black particles are coincident
with a primary shear thickening transition in steady flow and also appear as
transient structures in the flow response of gels produced by a secondary shear
thickening at high shear rates.
| cond-mat.soft | vorticity aligned cylindrical flocs of carbon black particles are coincident with a primary shear thickening transition in steady flow and also appear as transient structures in the flow response of gels produced by a secondary shear thickening at high shear rates | [['vorticity', 'aligned', 'cylindrical', 'flocs', 'of', 'carbon', 'black', 'particles', 'are', 'coincident', 'with', 'a', 'primary', 'shear', 'thickening', 'transition', 'in', 'steady', 'flow', 'and', 'also', 'appear', 'as', 'transient', 'structures', 'in', 'the', 'flow', 'response', 'of', 'gels', 'produced', 'by', 'a', 'secondary', 'shear', 'thickening', 'at', 'high', 'shear', 'rates']] | [-0.1985568672236873, 0.27955098936288825, -0.07196864282439758, -0.025344270781227727, 0.01985146468732415, -0.10813626196099127, -0.08059157063139648, 0.3796908966061182, -0.3036308502778411, -0.20714727153706297, 0.07218022721183555, -0.2706752524870198, -0.12453407021920855, 0.1316526848822832, 0.0027201670880724746, 0.05954431179093152, 0.03981224817462356, -0.031545484915557434, 0.00041702546451876803, -0.13463020644423257, 0.232310640421219, 0.0925737240283591, 0.35277761705219746, -0.007571584227063307, 0.05372535155251304, -0.09783474963567243, -0.004008545517558005, 0.14684788369369217, -0.21709820114803025, -0.011442731884194583, 0.22720188286337184, -0.07640164799806548, 0.1447380166160079, -0.44075204940830787, -0.2533414116492722, 0.026069123292250966, 0.1580191270175685, 0.09522837036993445, -0.07332329116988837, -0.19268208111227467, 0.07354735094690468, -0.18858396916127787, -0.13209674965090504, -8.620857829000892e-05, 0.04441770061668826, 0.13974163449573807, -0.23110872123208714, 0.30369240517384466, 0.05627273658727773, 0.07745496033713585, -0.1639161755603443, 0.01696520787095878, -0.16814169954372252, 0.08280960336418414, 0.13890010379993062, 0.06010693673998481, 0.322643550294565, -0.22438680759926394, -0.042566355226970304, 0.38979941745084234, -0.0854739981544454, -0.1372749977006872, 0.2615747948790469, -0.20875233638514878, -0.1361753994757991, 0.34358312028301197, 0.25709163115882294, 0.09855091107850213, -0.08542074796902697, -0.11292420355063613, 0.02958345601744041, 0.09899688768768455, 0.17439347045586967, -0.07712341364609396, 0.3773282590980937, 0.18555584631110655, 0.0387044461534881, 0.19153470066716757, -0.13636823036003767, -0.008159856879856528, -0.2815841190153506, -0.11613292702496415, -0.1196100899222784, 0.052793961929770684, -0.11569768975158051, -0.22397768879082144, 0.25909920824725724, -0.06746827490718627, 0.20548730528992942, 0.023922072837083804, 0.2656744987158695, -0.00817893634311764, 0.03232511678687865, 0.09622570617896754, 0.3783985169422699, 0.2129789597025459, 0.21370777931836685, -0.18790408878064738, 0.09281768966551371, 0.05495169855336227] |
710.4337 | Parametrically Shielding Electromagnetic Fields by Nonlinear
Metamaterials | An analytical theory is developed for parametric interactions in metamaterial
multilayer structures with simultaneous nonlinear electronic and magnetic
responses and with near-zero refractive-index. We demonstrate theoretically
that electromagnetic fields of certain frequencies can be parametrically
shielded by a nonlinear left-handed material slab, where the permittivity and
permeability are both negative. The skin depth is tunable, and even in the
absence of material absorption, can be much less than the wavelength of the
electromagnetic field being shielded. This exotic behavior is a consequence of
the intricate nonlinear response in the left-handed materials and vanishing
optical refractive-index at the pump frequency.
| cond-mat.mtrl-sci | an analytical theory is developed for parametric interactions in metamaterial multilayer structures with simultaneous nonlinear electronic and magnetic responses and with nearzero refractiveindex we demonstrate theoretically that electromagnetic fields of certain frequencies can be parametrically shielded by a nonlinear lefthanded material slab where the permittivity and permeability are both negative the skin depth is tunable and even in the absence of material absorption can be much less than the wavelength of the electromagnetic field being shielded this exotic behavior is a consequence of the intricate nonlinear response in the lefthanded materials and vanishing optical refractiveindex at the pump frequency | [['an', 'analytical', 'theory', 'is', 'developed', 'for', 'parametric', 'interactions', 'in', 'metamaterial', 'multilayer', 'structures', 'with', 'simultaneous', 'nonlinear', 'electronic', 'and', 'magnetic', 'responses', 'and', 'with', 'nearzero', 'refractiveindex', 'we', 'demonstrate', 'theoretically', 'that', 'electromagnetic', 'fields', 'of', 'certain', 'frequencies', 'can', 'be', 'parametrically', 'shielded', 'by', 'a', 'nonlinear', 'lefthanded', 'material', 'slab', 'where', 'the', 'permittivity', 'and', 'permeability', 'are', 'both', 'negative', 'the', 'skin', 'depth', 'is', 'tunable', 'and', 'even', 'in', 'the', 'absence', 'of', 'material', 'absorption', 'can', 'be', 'much', 'less', 'than', 'the', 'wavelength', 'of', 'the', 'electromagnetic', 'field', 'being', 'shielded', 'this', 'exotic', 'behavior', 'is', 'a', 'consequence', 'of', 'the', 'intricate', 'nonlinear', 'response', 'in', 'the', 'lefthanded', 'materials', 'and', 'vanishing', 'optical', 'refractiveindex', 'at', 'the', 'pump', 'frequency']] | [-0.14907868089850504, 0.24095541105803803, -0.0033020820507469275, 0.0024032500487836924, -0.12960559629712892, -0.1466722215873876, -0.03823793411955727, 0.4535926464343011, -0.23972320774889955, -0.28092888690004447, 0.05350841537254364, -0.2866553882833081, -0.19571831808049195, 0.20635992516246107, 0.02871462312348262, 0.03824442389863308, -0.06999861535550368, -0.020353748162060675, -0.007352979486864625, -0.11235443571808212, 0.27912428856690913, 0.04253942805408227, 0.3023133958228911, 0.06298964686522429, 0.060883901368901885, -0.015712601965236845, 0.07278786545485315, 0.051297394732822375, -0.040491895721428625, 0.09058294771709527, 0.26282830387259826, -0.0603280963489052, 0.23481726523658092, -0.45956104446315404, -0.2316355696371333, 0.046342738603025374, 0.10812331760311593, 0.13004277711451956, -0.06181023975909509, -0.27168910294733567, 0.06370367458786326, -0.10378403035980283, -0.15994893320403392, -0.07209038809694425, -0.008729572265615894, 0.00967279584335182, -0.3046369082364959, 0.06807813831990717, 0.0351462716673562, 0.08871897186077378, -0.09863557971101443, -0.07241045786632282, -0.03165265268204038, 0.04592330886446165, 0.025250047193652, -0.04368677118915425, 0.17874283430571056, -0.2214446993417699, -0.03804482879926159, 0.37889806551781174, -0.08730160515367952, -0.1826178040449517, 0.16579489162511596, -0.18414653062754582, 0.06799091055819934, 0.20377352308820595, 0.1771536911508501, 0.10169629662325888, -0.13002992623057594, 0.06284350731276032, -0.03848449568819217, 0.20826630407798508, 0.11044280793085093, 0.09281591095989852, 0.2405803475453697, 0.1682197591007659, 0.007379245713842336, 0.14710541407464806, -0.06552769829439131, 0.04060143182486898, -0.2497368807518723, -0.12533108770583917, -0.1859571345602021, 0.06020073565381645, -0.1104948074908779, -0.21711123827844858, 0.4332050501340718, 0.1177821010539327, 0.13812580039593006, -0.02575847581781522, 0.33391967174982784, 0.15870388088315124, 0.08400228117225748, 0.019299810023206954, 0.37036250948416766, 0.1696127284755648, 0.11804851437589586, -0.24324403840912073, 0.03942890352842332, -0.03910231603911579] |
710.4338 | Stability of atoms and molecules in an ultrarelativistic
Thomas-Fermi-Weizsaecker model | We consider the zero mass limit of a relativistic Thomas-Fermi-Weizsaecker
model of atoms and molecules. We find bounds for the critical nuclear charges
that ensure stability.
| math-ph math.MP math.SP | we consider the zero mass limit of a relativistic thomasfermiweizsaecker model of atoms and molecules we find bounds for the critical nuclear charges that ensure stability | [['we', 'consider', 'the', 'zero', 'mass', 'limit', 'of', 'a', 'relativistic', 'thomasfermiweizsaecker', 'model', 'of', 'atoms', 'and', 'molecules', 'we', 'find', 'bounds', 'for', 'the', 'critical', 'nuclear', 'charges', 'that', 'ensure', 'stability']] | [-0.1303029352426529, 0.1804794943332672, -0.05685054801404476, 0.09770611055195332, 0.08189407460391522, -0.11924775267019867, 0.11336950972676277, 0.2901538357138634, -0.16083223208785058, -0.2599584586918354, 0.046774284802377226, -0.289025512188673, -0.026438426151871683, 0.1175401911046356, 0.029426499772816896, 0.05326214253902435, 0.03470153898000717, 0.0848220045119524, -0.10730042587034404, -0.1749175737891346, 0.3333904038742185, 0.02752356145530939, 0.23378198266029357, 0.16365678247064352, 0.10301932882517577, -0.023826608024537562, 0.07827687509357929, -0.0004006362520158291, -0.2199020886901417, 0.09034038532525301, 0.16500159755349159, 0.02964672964066267, 0.2226029172167182, -0.4789566645026207, -0.17429675843566655, 0.1566739092208445, 0.1259684592857957, 0.18314937636256218, -0.09789373051375151, -0.21085185695439576, 0.05474385731853545, -0.19171920504420994, -0.2183058863505721, -0.11054562859237194, 0.019051386080682277, 0.0987413378804922, -0.3330133720487356, 0.09786750018596649, 0.08284270398318767, 0.027130320444703104, -0.1382380722463131, -0.11599337995052338, -0.035077158361673355, 0.09962482763454318, 0.06789905757643283, -0.0514807140827179, 0.20106719996780156, -0.17002511709928514, -0.06354205967858434, 0.4383993104286492, -0.10037716969847679, -0.1785920451581478, 0.14325787372887133, -0.18511900171637535, -0.16089786279946566, 0.07792171791195869, 0.1852180425077677, 0.14652774611487984, -0.13204781163483859, 0.12368389062350615, -0.07076288118958474, 0.1745448474213481, 0.033066603802144524, 0.08374887129291891, 0.24809685125946998, 0.12718782640993595, 0.12345655158162117, 0.13829307958483697, -0.11671376598998905, -0.10482270887121559, -0.3145196905732155, -0.16965505126863717, -0.14319646015763282, 0.024684996753931047, -0.08941467314900364, -0.14031776707153767, 0.3457331545650959, 0.18246482260525226, 0.19099040824919938, 0.055514538809657094, 0.24435882300138473, 0.1486610073596239, 0.027613765783607958, 0.09984043177217244, 0.3219929214194417, 0.19461469873785972, 0.02486130118370056, -0.28155242204666137, -0.04664929393678904, 0.08453143313527108] |
710.4339 | Heavy-Quark Masses from the Fermilab Method in Three-Flavor Lattice QCD | We report on heavy quark mass calculations using Fermilab heavy quarks.
Lattice calculations of heavy-strange meson masses are combined with one-loop
(automated) lattice perturbation theory to arrive at the quark mass. Mesons are
constructed from Fermilab heavy quarks and staggered light quarks. We use the
MILC ensembles at three lattice spacings and sea quark mass ratios of $m_{\rm
u,d} / m_{\rm s} = 0.1$ to 0.4. Preliminary results for the bottom quark are
given in the potential subtracted scheme.
| hep-lat | we report on heavy quark mass calculations using fermilab heavy quarks lattice calculations of heavystrange meson masses are combined with oneloop automated lattice perturbation theory to arrive at the quark mass mesons are constructed from fermilab heavy quarks and staggered light quarks we use the milc ensembles at three lattice spacings and sea quark mass ratios of m_rm ud m_rm s 01 to 04 preliminary results for the bottom quark are given in the potential subtracted scheme | [['we', 'report', 'on', 'heavy', 'quark', 'mass', 'calculations', 'using', 'fermilab', 'heavy', 'quarks', 'lattice', 'calculations', 'of', 'heavystrange', 'meson', 'masses', 'are', 'combined', 'with', 'oneloop', 'automated', 'lattice', 'perturbation', 'theory', 'to', 'arrive', 'at', 'the', 'quark', 'mass', 'mesons', 'are', 'constructed', 'from', 'fermilab', 'heavy', 'quarks', 'and', 'staggered', 'light', 'quarks', 'we', 'use', 'the', 'milc', 'ensembles', 'at', 'three', 'lattice', 'spacings', 'and', 'sea', 'quark', 'mass', 'ratios', 'of', 'm_rm', 'ud', 'm_rm', 's', '01', 'to', '04', 'preliminary', 'results', 'for', 'the', 'bottom', 'quark', 'are', 'given', 'in', 'the', 'potential', 'subtracted', 'scheme']] | [-0.026773271477454667, 0.42368626504434975, -0.08344720186689844, 0.12304662270834307, 0.004439461613436798, -0.12112965664596527, 0.1544234543697086, 0.4163063017578868, -0.08130190715604982, -0.2311005185467082, -0.05005585397563439, -0.40353632016808955, 0.13238487407178073, 0.05883971452954915, 0.06982615636056894, 0.15910948785142853, 0.1634470433625695, -0.04981495130371738, -0.16577018052339554, -0.2635428156921422, 0.3270635286938738, -0.0704969243001338, 0.17434688210003563, 0.23277984732495888, -0.0028536370169226226, -0.01217839199227172, -0.05431437385328985, -0.15116085656374306, -0.05238454140625991, 0.01581148373631325, 0.09152307912296095, -0.030877141723433484, 0.06163237214862526, -0.3595889021049846, -0.07959782202764377, 0.02231021998329209, 0.1136392322127018, 0.11907857510732947, -0.0879065459306872, -0.2602586496814892, 0.13547320668767024, -0.24263450144124882, -0.23391843688758937, -0.12563081628751832, -0.05734949142901928, -0.07416048713705757, -0.3947069574171653, 0.06971784524450247, -0.1760129010812803, 0.09141105533310653, 0.032878525857511276, -0.3617386601429868, -0.13943746809351754, 0.0075008148076496535, 0.10402861114004748, 0.1686833622436759, 0.1608361422232437, -0.10856809541310922, -0.1340495988472619, 0.4799520390035657, -0.12500506600776276, -0.14238948747515678, 0.12828244106819878, -0.1901558988679249, -0.14799155804098812, 0.05939285980852006, 0.29096165073955393, 0.08080266726614496, -0.24151233581269715, 0.09209831338224618, -0.07045140785056275, 0.2224644949151711, 0.13489874634383756, 0.038594959219070996, 0.3154037496583028, 0.21896805549221862, -0.09238486698913304, -0.05350154178979045, -0.07422783836879611, -0.12025164696690324, -0.34742870082619126, 0.015091754193720105, -0.1239647806634183, 0.054064016450535164, -0.12155621879176212, -0.08524759232925323, 0.3737411937457052, 0.12241096410585882, 0.2131884168809304, 0.035797718537415, 0.28428217189313915, 0.06554247333680267, 0.10254223876959317, 0.13095537896038262, 0.2629525583576072, 0.24446246886698456, 0.16845150130450146, -0.3231275088385098, -0.19296008375074183, 0.1949637897385212] |
710.434 | Differential characters as stacks and prequantization | We generalize geometric prequantization of symplectic manifolds to
differentiable stacks. Our approach is atlas-independent and provides a
bijection between isomorphism classes of principal circle bundles (with or
without connections) and second cohomology groups of certain chain complexes.
| math.DG math.RT math.SG | we generalize geometric prequantization of symplectic manifolds to differentiable stacks our approach is atlasindependent and provides a bijection between isomorphism classes of principal circle bundles with or without connections and second cohomology groups of certain chain complexes | [['we', 'generalize', 'geometric', 'prequantization', 'of', 'symplectic', 'manifolds', 'to', 'differentiable', 'stacks', 'our', 'approach', 'is', 'atlasindependent', 'and', 'provides', 'a', 'bijection', 'between', 'isomorphism', 'classes', 'of', 'principal', 'circle', 'bundles', 'with', 'or', 'without', 'connections', 'and', 'second', 'cohomology', 'groups', 'of', 'certain', 'chain', 'complexes']] | [-0.26669265604060555, 0.009431090870445283, -0.07474484310174982, 0.08834752704650681, -0.15831199914423955, -0.1762202965069769, 0.006855454166523284, 0.43676480482746327, -0.3612211142252717, -0.2759426628342933, 0.06602283677137974, -0.2176526681707603, -0.19614929039057138, 0.15964976531944963, -0.2296397171707617, -0.054491255432367325, 0.07026139756716374, 0.04623292096787029, -0.14707022138948864, -0.2682442046870064, 0.5119638313642807, -0.04336073694543706, 0.23119642060353524, 0.04532384333995449, 0.1606838699404357, 0.006497253935473661, 0.009146627866559558, -0.05528445333604597, -0.11636157266588674, 0.22513218601751658, 0.32318440423760975, -0.009365296942026665, 0.13754352471894687, -0.40247417657843065, -0.10378271342617357, 0.23843693257206017, 0.08975527577826546, 0.0016659864793635076, 0.038551027925374605, -0.31202738131913876, 0.06402129742006461, -0.09418852735931675, -0.12005114328834073, -0.15486348882162324, 0.01030037373614808, 0.08156129885982308, -0.16259142024339074, -0.02450790675356984, 0.1411325696648823, 0.15459510521031916, -0.0862248783879396, -0.025041783060361113, -0.10901423043752503, 0.12502480015650186, -0.023214287001691345, 0.04795933450158271, 0.1537429599169021, -0.023226535801465314, -0.19958019473900399, 0.33051101123500204, -0.012469855033689074, -0.2541697319183085, 0.17011864020282197, -0.07954717684899354, -0.2454124604507039, 0.1600230506931742, 0.020445482857111428, 0.1868717769264347, 0.029126038277657546, 0.1310927428065851, -0.104186751271805, 0.0550274801078356, 0.0903507918636832, -0.06856561741895145, 0.1317724806851604, 0.12216989957960322, 0.15965585852973163, 0.1567947142240074, 0.01295405336552196, -0.11474709730181429, -0.3279436237903105, -0.259267384160517, -0.055935878617068134, 0.1637381938441346, -0.14025291791363592, -0.17903288682767501, 0.3896389310506897, 0.04074009740970218, 0.2399766330038094, 0.26530618152658764, 0.21831543226208952, -0.07403081043351752, 0.08433971618716088, -0.02274466183088306, 0.0845474327603976, 0.34157415810558533, -0.0829514728134705, -0.022514665907591633, -0.11809822316798899, 0.26804229451550377] |
710.4341 | Pressure effects in the triangular layered cobaltites NaxCoO2 | We have measured transport properties as a function of temperature and
pressure up to 30GPa in the NaxCoO2 system. For the x=0.5 sample the transition
temperature at 53K increases with pressure, while paradoxically the sample
passes from an insulating to a metallic ground state. A similar transition is
observed in the x=0.31 sample under pressure. Compression on the x=0.75 sample
transforms the sample from a metallic to an insulating state. We discuss our
results in terms of interactions between band structure effects and Na+ order.
| cond-mat.str-el | we have measured transport properties as a function of temperature and pressure up to 30gpa in the naxcoo2 system for the x05 sample the transition temperature at 53k increases with pressure while paradoxically the sample passes from an insulating to a metallic ground state a similar transition is observed in the x031 sample under pressure compression on the x075 sample transforms the sample from a metallic to an insulating state we discuss our results in terms of interactions between band structure effects and na order | [['we', 'have', 'measured', 'transport', 'properties', 'as', 'a', 'function', 'of', 'temperature', 'and', 'pressure', 'up', 'to', '30gpa', 'in', 'the', 'naxcoo2', 'system', 'for', 'the', 'x05', 'sample', 'the', 'transition', 'temperature', 'at', '53k', 'increases', 'with', 'pressure', 'while', 'paradoxically', 'the', 'sample', 'passes', 'from', 'an', 'insulating', 'to', 'a', 'metallic', 'ground', 'state', 'a', 'similar', 'transition', 'is', 'observed', 'in', 'the', 'x031', 'sample', 'under', 'pressure', 'compression', 'on', 'the', 'x075', 'sample', 'transforms', 'the', 'sample', 'from', 'a', 'metallic', 'to', 'an', 'insulating', 'state', 'we', 'discuss', 'our', 'results', 'in', 'terms', 'of', 'interactions', 'between', 'band', 'structure', 'effects', 'and', 'na', 'order']] | [-0.0928344040897043, 0.17071265116135778, -0.07550741556735288, -0.035345406275674965, 0.02974678873683193, -0.05755188533415397, 0.1429630370943674, 0.4037493168420735, -0.26751991394641145, -0.32849335149374037, 0.04347722338362863, -0.3813591468303154, -0.05648511023970232, 0.15326812938742695, 0.029891921185134424, 0.012876971690102004, -0.04042989265317807, 0.008051971564002867, -0.16065470659218373, -0.19577314358459608, 0.2993698089183973, 0.049982768416936905, 0.31945086818277124, 0.04285700938184857, 0.041287252673923615, -0.07060150484765126, 0.15177939828745798, 0.05750110750973579, -0.15338797034651397, -0.0416062899222154, 0.24476485148382685, -0.04300775683285402, 0.2122032195800871, -0.37331907352260413, -0.19479821216581122, 0.011688305796789271, 0.08830366054150675, 0.12415272584794798, -0.0881854275565794, -0.2890134138897771, 0.03864945251760738, -0.1140149723671909, -0.12352620194100641, -0.07037967093665862, -0.008024793029541061, -0.026210510593955405, -0.2598698708052758, 0.11698893608436697, 0.05123558708666159, 0.08379133387158315, -0.1440769581656371, -0.15313568302579889, -0.07144411169047955, 0.09535618439050657, 0.040246063053408374, 0.057763914322657955, 0.15267985882902785, -0.12914056217552916, -0.016888686566657964, 0.36040542183798696, -0.07234349791819807, -0.031152727536945826, 0.22184327283286534, -0.20521144276218756, -0.054383700950850086, 0.20696390202335482, 0.18182186341090573, 0.07857711014470883, -0.11606060022313613, 0.030693141076924457, 0.00418958933732938, 0.21636693008864918, 0.014155601129113208, 0.04452649075981407, 0.19396056080170507, 0.20568665354706658, 0.045708429614370244, 0.20042685549179579, -0.12629755221894898, -0.021742808987342176, -0.24101206823252141, -0.19976443451430118, -0.20451807006750078, 0.04677449748297, -0.09536890474867375, -0.18820809326799853, 0.35695657365778016, 0.14463417512542082, 0.22941862627686488, -0.0013959198009355792, 0.2380050280730107, 0.10089851016112204, 0.05790807439812592, 0.07549954787966617, 0.24917503749020398, 0.16246589478049872, 0.11952799939761116, -0.2703361501917243, 0.12117162111791827, -0.024959493550427612] |
710.4342 | D=11 massless superparticle covariant quantization, pure spinor BRST
charge and hidden symmetries | We consider the covariant quantization of the D=11 massless superparticle
(M0-brane) in the spinor moving frame or twistor-like Lorentz harmonics
formulation. The action involves the set of 16 constrained 32 component
Majorana spinors, the spinor Lorentz harmonics parametrizing (as homogeneous
coordinates, modulo gauge symmetries) the celestial sphere S9. There presence
allows us to separate covariantly the first and the second class constraints of
the model. After taking into account the second class constraints by means of
Dirac brackets and after further reducing the first class constraints algebra,
the system is described in terms of a simple BRST charge associated to the d=1,
n=16 supersymmetry algebra. The study of the cohomology of this BRST operator
requires a regularization by complexifying the bosonic ghosts for the
kappa-symmetry and further reduction of the regularized cohomology problem to
the one for a simpler complex BRST charge which is essentially the pure spinor
BRST operator by Berkovits, but with a composite pure spinor. This exhibits a
possible origin of the complexity (non-hermiticity) characteristic of the
Berkovits pure spinor approach.
The simple structure of the nontrivial cohomology of the M0-brane BRST charge
finds explanation in the properties that the superparticle action exhibits in
the so-called `covariantized light-cone' basis. The the covariant quantization
in this basis hints possible hidden symmetries of D=11 supergravity. Besides
SO(16), we discuss also some indirect arguments in favor of the possible E8
symmetry.
| hep-th | we consider the covariant quantization of the d11 massless superparticle m0brane in the spinor moving frame or twistorlike lorentz harmonics formulation the action involves the set of 16 constrained 32 component majorana spinors the spinor lorentz harmonics parametrizing as homogeneous coordinates modulo gauge symmetries the celestial sphere s9 there presence allows us to separate covariantly the first and the second class constraints of the model after taking into account the second class constraints by means of dirac brackets and after further reducing the first class constraints algebra the system is described in terms of a simple brst charge associated to the d1 n16 supersymmetry algebra the study of the cohomology of this brst operator requires a regularization by complexifying the bosonic ghosts for the kappasymmetry and further reduction of the regularized cohomology problem to the one for a simpler complex brst charge which is essentially the pure spinor brst operator by berkovits but with a composite pure spinor this exhibits a possible origin of the complexity nonhermiticity characteristic of the berkovits pure spinor approach the simple structure of the nontrivial cohomology of the m0brane brst charge finds explanation in the properties that the superparticle action exhibits in the socalled covariantized lightcone basis the the covariant quantization in this basis hints possible hidden symmetries of d11 supergravity besides so16 we discuss also some indirect arguments in favor of the possible e8 symmetry | [['we', 'consider', 'the', 'covariant', 'quantization', 'of', 'the', 'd11', 'massless', 'superparticle', 'm0brane', 'in', 'the', 'spinor', 'moving', 'frame', 'or', 'twistorlike', 'lorentz', 'harmonics', 'formulation', 'the', 'action', 'involves', 'the', 'set', 'of', '16', 'constrained', '32', 'component', 'majorana', 'spinors', 'the', 'spinor', 'lorentz', 'harmonics', 'parametrizing', 'as', 'homogeneous', 'coordinates', 'modulo', 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'operator', 'by', 'berkovits', 'but', 'with', 'a', 'composite', 'pure', 'spinor', 'this', 'exhibits', 'a', 'possible', 'origin', 'of', 'the', 'complexity', 'nonhermiticity', 'characteristic', 'of', 'the', 'berkovits', 'pure', 'spinor', 'approach', 'the', 'simple', 'structure', 'of', 'the', 'nontrivial', 'cohomology', 'of', 'the', 'm0brane', 'brst', 'charge', 'finds', 'explanation', 'in', 'the', 'properties', 'that', 'the', 'superparticle', 'action', 'exhibits', 'in', 'the', 'socalled', 'covariantized', 'lightcone', 'basis', 'the', 'the', 'covariant', 'quantization', 'in', 'this', 'basis', 'hints', 'possible', 'hidden', 'symmetries', 'of', 'd11', 'supergravity', 'besides', 'so16', 'we', 'discuss', 'also', 'some', 'indirect', 'arguments', 'in', 'favor', 'of', 'the', 'possible', 'e8', 'symmetry']] | [-0.18042260718703756, 0.15344619783935706, -0.07085266270754391, 0.07338288659784234, -0.13372161601835386, -0.12617815544554617, 0.005250353729367474, 0.28135288140516795, 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710.4343 | Matrix equations and trilinear commutation relations | In this paper we discuss a general algebraic approach to treating static
equations of matrix models with a mass-like term. In this approach the
equations of motions are considered as consequence of parafermi-like trilinear
commutation relations. In this context we consider several solutions, including
construction of noncommutative spheres. The equivalence of fuzzy spheres and
parafermions is underlined.
| hep-th math-ph math.MP | in this paper we discuss a general algebraic approach to treating static equations of matrix models with a masslike term in this approach the equations of motions are considered as consequence of parafermilike trilinear commutation relations in this context we consider several solutions including construction of noncommutative spheres the equivalence of fuzzy spheres and parafermions is underlined | [['in', 'this', 'paper', 'we', 'discuss', 'a', 'general', 'algebraic', 'approach', 'to', 'treating', 'static', 'equations', 'of', 'matrix', 'models', 'with', 'a', 'masslike', 'term', 'in', 'this', 'approach', 'the', 'equations', 'of', 'motions', 'are', 'considered', 'as', 'consequence', 'of', 'parafermilike', 'trilinear', 'commutation', 'relations', 'in', 'this', 'context', 'we', 'consider', 'several', 'solutions', 'including', 'construction', 'of', 'noncommutative', 'spheres', 'the', 'equivalence', 'of', 'fuzzy', 'spheres', 'and', 'parafermions', 'is', 'underlined']] | [-0.17690933898224362, 0.11091918707825243, -0.056680940507378964, 0.10528382059835296, -0.07530216636535313, -0.10262173648724067, -0.015654164272876057, 0.30136247045759645, -0.27436439007786767, -0.2573684227785894, 0.07740553147700016, -0.26812956460552023, -0.21194640975279203, 0.14555772879560078, -0.09383513006780829, 0.044935436137685816, 0.022475795637417053, 0.018313179158472588, -0.14001767927714223, -0.24374309661756602, 0.4118830846190186, -0.03652082534972578, 0.19378223154594057, 0.01690945471636951, 0.15740271093922534, 0.01037470968939098, -0.05666030550907765, 0.0569201528227755, -0.15260758347410178, 0.13931666922040417, 0.26711546071166076, 0.07640907536759707, 0.20179077485642796, -0.4087608681792127, -0.18091620363026908, 0.10375140643944698, 0.13613284186327032, 0.11487697217879551, -0.01933603412804327, -0.2634772545258914, 0.044959506165469065, -0.25021590585155146, -0.15918946785054036, -0.12526375683540078, 0.017055775837174485, 0.01792127555901451, -0.23573265730270318, 0.08591138471716217, 0.12201313580486126, 0.058808656226444454, -0.13288193401448162, -0.05575754849788999, 0.07231755421629973, 0.03974629544453429, 0.09346201318424262, -0.04948422972977694, 0.06055865119144853, -0.14831261664845183, -0.1447105900650578, 0.44142566684500445, -0.0498735412755715, -0.32555593909429653, 0.1591330329954092, -0.08655583670562399, -0.1840978058005151, 0.0021101773641670923, 0.15389804098854906, 0.17194608064268582, -0.17374223405827902, 0.18080460971084125, -0.07605611310074371, 0.08485536149237305, 0.08833963306720502, 0.042367638168798294, 0.1660761021048529, 0.14449817229927117, 0.01692446378625131, 0.20309299919089036, 0.03334500965762085, -0.16837002880804772, -0.37221438381155686, -0.18179195836221748, -0.10775114686527688, 0.06532465085287445, -0.12023930137651664, -0.20871398005900638, 0.3464135847087683, 0.14163392544391432, 0.17969722319997214, 0.0626794341369532, 0.2620004934391805, 0.13750876492330072, 0.06369988593672003, -0.015424615528900176, 0.22407190743667474, 0.21378407471014985, 0.06941809284035116, -0.1393527811201888, -0.05883611974007051, 0.20092284363428398] |
710.4344 | Black Hole Bound on the Number of Species and Quantum Gravity at LHC | In theories with a large number N of particle species, black hole physics
imposes an upper bound on the mass of the species equal to M_{Planck}/\sqrt{N}.
This bound suggests a novel solution to the hierarchy problem in which there
are N \approx 10^{32} gravitationally coupled species, for example 10^{32}
copies of the Standard Model. The black hole bound forces them to be at the
weak scale, hence providing a stable hierarchy. We present various arguments,
that in such theories the effective gravitational cutoff is reduced to
\Lambda_G \approx M_{Planck}/\sqrt{N} and a new description is needed around
this scale. In particular black-holes smaller than \Lambda_G^{-1} are already
no longer semi-classical. The nature of the completion is model dependent. One
natural possibility is that \Lambda_G is the quantum gravity scale. We provide
evidence that within this type of scenarios, contrary to the standard
intuition, micro black holes have a (slowly-fading) memory of the species of
origin. Consequently the black holes produced at LHC, will predominantly decay
into the Standard Model particles, and negligibly into the other species.
| hep-th hep-ph | in theories with a large number n of particle species black hole physics imposes an upper bound on the mass of the species equal to m_plancksqrtn this bound suggests a novel solution to the hierarchy problem in which there are n approx 1032 gravitationally coupled species for example 1032 copies of the standard model the black hole bound forces them to be at the weak scale hence providing a stable hierarchy we present various arguments that in such theories the effective gravitational cutoff is reduced to lambda_g approx m_plancksqrtn and a new description is needed around this scale in particular blackholes smaller than lambda_g1 are already no longer semiclassical the nature of the completion is model dependent one natural possibility is that lambda_g is the quantum gravity scale we provide evidence that within this type of scenarios contrary to the standard intuition micro black holes have a slowlyfading memory of the species of origin consequently the black holes produced at lhc will predominantly decay into the standard model particles and negligibly into the other species | [['in', 'theories', 'with', 'a', 'large', 'number', 'n', 'of', 'particle', 'species', 'black', 'hole', 'physics', 'imposes', 'an', 'upper', 'bound', 'on', 'the', 'mass', 'of', 'the', 'species', 'equal', 'to', 'm_plancksqrtn', 'this', 'bound', 'suggests', 'a', 'novel', 'solution', 'to', 'the', 'hierarchy', 'problem', 'in', 'which', 'there', 'are', 'n', 'approx', '1032', 'gravitationally', 'coupled', 'species', 'for', 'example', '1032', 'copies', 'of', 'the', 'standard', 'model', 'the', 'black', 'hole', 'bound', 'forces', 'them', 'to', 'be', 'at', 'the', 'weak', 'scale', 'hence', 'providing', 'a', 'stable', 'hierarchy', 'we', 'present', 'various', 'arguments', 'that', 'in', 'such', 'theories', 'the', 'effective', 'gravitational', 'cutoff', 'is', 'reduced', 'to', 'lambda_g', 'approx', 'm_plancksqrtn', 'and', 'a', 'new', 'description', 'is', 'needed', 'around', 'this', 'scale', 'in', 'particular', 'blackholes', 'smaller', 'than', 'lambda_g1', 'are', 'already', 'no', 'longer', 'semiclassical', 'the', 'nature', 'of', 'the', 'completion', 'is', 'model', 'dependent', 'one', 'natural', 'possibility', 'is', 'that', 'lambda_g', 'is', 'the', 'quantum', 'gravity', 'scale', 'we', 'provide', 'evidence', 'that', 'within', 'this', 'type', 'of', 'scenarios', 'contrary', 'to', 'the', 'standard', 'intuition', 'micro', 'black', 'holes', 'have', 'a', 'slowlyfading', 'memory', 'of', 'the', 'species', 'of', 'origin', 'consequently', 'the', 'black', 'holes', 'produced', 'at', 'lhc', 'will', 'predominantly', 'decay', 'into', 'the', 'standard', 'model', 'particles', 'and', 'negligibly', 'into', 'the', 'other', 'species']] | [-0.12276256132892446, 0.19965878952601776, -0.06302623451025241, 0.1260140697415272, -0.0481856060833428, -0.1569979535079308, 0.036097149959512354, 0.2704269606673907, -0.20016837510081126, -0.3446955514447279, 0.07024667287013908, -0.30361915612054957, -0.05663687514539571, 0.17405408573393424, 0.004980526052986008, -0.010746825424512859, 0.02200750060745574, 0.05130790152356185, -0.03543771931234037, -0.22291676516542372, 0.31036675115778095, 0.08156048237397255, 0.22801855906327337, 0.0555510667645281, 0.07515335469457894, -0.06323966826715996, 0.031270652406477514, 0.0027176345822352895, -0.1440910620330493, 0.10358297258933112, 0.17979831178807196, 0.13175654289563493, 0.2297166497527347, -0.4258132772789353, -0.1999033242834172, 0.12588939961648918, 0.16704195576808764, 0.1429942826184611, -0.062060051708686774, -0.24250414962153558, 0.08749463615368384, -0.1813941994692721, -0.14416826892956403, 0.0029616709421738724, 0.06955859951696472, -0.07113036799454533, -0.2421021768527181, 0.1110804423686814, 0.053295275082372966, -0.0435238371462214, -0.0598971343614737, -0.10167650350455647, -0.0032337908801283537, 0.05659456539736264, 0.09884929945934672, 0.029572895148666737, 0.1485943747926611, -0.12572872588233322, -0.09039477798064922, 0.3857296460625753, -0.086135514523727, -0.17618239141268538, 0.22516056008077082, -0.17475268200330565, -0.15481917715679877, 0.140362198621363, 0.14614938201135122, 0.15612196080074403, -0.13450566728564378, 0.11708724830027756, -0.048482721604169964, 0.2207945695744472, 0.07247549789349382, 0.07675613912907187, 0.3084012766643239, 0.18935890784191042, 0.06172573475054104, 0.08284738408960132, -0.05270487427959795, -0.10259943188577245, -0.30707041843325933, -0.13322826664904242, -0.13597103308434086, 0.08142380134910453, -0.13056528170823894, -0.1449145969310291, 0.3175625054251855, 0.14317817818353254, 0.2008527230169904, 0.049262084871008346, 0.25148502121649374, 0.11179706037402519, 0.09488704753905061, 0.06721040557240905, 0.2902881542565247, 0.1068195985950465, 0.05995300721923546, -0.19235347211091763, -0.0043152253671059375, 0.08786008482990043] |
710.4345 | A Primer for Black Hole Quantum Physics | The mechanisms which give rise to Hawking radiation are revealed by analyzing
in detail pair production in the presence of horizons. In preparation for the
black hole problem, three preparatory problems are dwelt with at length: pair
production in an external electric field, thermalization of a uniformly
accelerated detector and accelerated mirrors. In the light of these examples,
the black hole evaporation problem is then presented.
The leitmotif is the singular behavior of modes on the horizon which gives
rise to a steady rate of production. Special emphasis is put on how each
produced particle contributes to the mean albeit arising from a particular
vacuum fluctuation. It is the mean which drives the semiclassical back
reaction. This aspect is analyzed in more detail than heretofore and in
particular its drawbacks are emphasized. It is the semiclassical theory which
gives rise to Hawking's famous equation for the loss of mass of the black hole
due to evaporation $dM/dt \simeq -1/M^2$. Black hole thermodynamics is derived
from the evaporation process whereupon the reservoir character of the black
hole is manifest. The relation to the thermodynamics of the eternal black hole
through the Hartle--Hawking vacuum and the Killing identity are displayed.
It is through the analysis of the fluctuations of the field configurations
which give rise to a particular Hawking photon that the dubious character of
the semiclassical theory is manifest. The present frontier of research revolves
around this problem and is principally concerned with the fact that one calls
upon energy scales that are greater than Planckian and the possibility of a non
unitary evolution as well. These last subjects are presented in qualitative
fashion only, so that this review stops at the threshold of quantum gravity.
| gr-qc hep-th | the mechanisms which give rise to hawking radiation are revealed by analyzing in detail pair production in the presence of horizons in preparation for the black hole problem three preparatory problems are dwelt with at length pair production in an external electric field thermalization of a uniformly accelerated detector and accelerated mirrors in the light of these examples the black hole evaporation problem is then presented the leitmotif is the singular behavior of modes on the horizon which gives rise to a steady rate of production special emphasis is put on how each produced particle contributes to the mean albeit arising from a particular vacuum fluctuation it is the mean which drives the semiclassical back reaction this aspect is analyzed in more detail than heretofore and in particular its drawbacks are emphasized it is the semiclassical theory which gives rise to hawkings famous equation for the loss of mass of the black hole due to evaporation dmdt simeq 1m2 black hole thermodynamics is derived from the evaporation process whereupon the reservoir character of the black hole is manifest the relation to the thermodynamics of the eternal black hole through the hartlehawking vacuum and the killing identity are displayed it is through the analysis of the fluctuations of the field configurations which give rise to a particular hawking photon that the dubious character of the semiclassical theory is manifest the present frontier of research revolves around this problem and is principally concerned with the fact that one calls upon energy scales that are greater than planckian and the possibility of a non unitary evolution as well these last subjects are presented in qualitative fashion only so that this review stops at the threshold of quantum gravity | [['the', 'mechanisms', 'which', 'give', 'rise', 'to', 'hawking', 'radiation', 'are', 'revealed', 'by', 'analyzing', 'in', 'detail', 'pair', 'production', 'in', 'the', 'presence', 'of', 'horizons', 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710.4346 | Ehrhart polynomials of matroid polytopes and polymatroids | We investigate properties of Ehrhart polynomials for matroid polytopes,
independence matroid polytopes, and polymatroids. In the first half of the
paper we prove that for fixed rank their Ehrhart polynomials are computable in
polynomial time. The proof relies on the geometry of these polytopes as well as
a new refined analysis of the evaluation of Todd polynomials. In the second
half we discuss two conjectures about the h^*-vector and the coefficients of
Ehrhart polynomials of matroid polytopes; we provide theoretical and
computational evidence for their validity.
| math.CO | we investigate properties of ehrhart polynomials for matroid polytopes independence matroid polytopes and polymatroids in the first half of the paper we prove that for fixed rank their ehrhart polynomials are computable in polynomial time the proof relies on the geometry of these polytopes as well as a new refined analysis of the evaluation of todd polynomials in the second half we discuss two conjectures about the hvector and the coefficients of ehrhart polynomials of matroid polytopes we provide theoretical and computational evidence for their validity | [['we', 'investigate', 'properties', 'of', 'ehrhart', 'polynomials', 'for', 'matroid', 'polytopes', 'independence', 'matroid', 'polytopes', 'and', 'polymatroids', 'in', 'the', 'first', 'half', 'of', 'the', 'paper', 'we', 'prove', 'that', 'for', 'fixed', 'rank', 'their', 'ehrhart', 'polynomials', 'are', 'computable', 'in', 'polynomial', 'time', 'the', 'proof', 'relies', 'on', 'the', 'geometry', 'of', 'these', 'polytopes', 'as', 'well', 'as', 'a', 'new', 'refined', 'analysis', 'of', 'the', 'evaluation', 'of', 'todd', 'polynomials', 'in', 'the', 'second', 'half', 'we', 'discuss', 'two', 'conjectures', 'about', 'the', 'hvector', 'and', 'the', 'coefficients', 'of', 'ehrhart', 'polynomials', 'of', 'matroid', 'polytopes', 'we', 'provide', 'theoretical', 'and', 'computational', 'evidence', 'for', 'their', 'validity']] | [-0.17259901713953504, 0.004739607099530308, -0.09093804154978243, 0.10622855369543094, -0.11198465603804432, -0.10134433176866624, 0.0458476074401365, 0.3196324917466141, -0.35386224783047343, -0.20283524299495267, 0.1627595402868221, -0.24342568193800573, -0.20579668696493256, 0.15845005950608917, -0.15059065165777885, 0.06717985765575323, 0.008450071419437611, 0.008946277242124103, -0.12797603332491722, -0.41083724985202386, 0.346396961899171, 0.007235278483740119, 0.16425961193217095, 0.15429320077000316, 0.1036931668992999, 0.040786765694488275, -0.055652458372330946, -0.005732476689614529, -0.21660104433257676, 0.1627709066581934, 0.28582905233989275, 0.20144398234578845, 0.1982279340411688, -0.4295354792415056, -0.0049591850121180675, 0.15200697947672548, 0.11574839933001745, 0.04820634319641909, -0.012008589636913479, -0.16086981101178152, 0.03898820868113923, -0.10245336348537443, -0.192966022236316, -0.12077903294892506, 0.032793942953968896, 0.07669466198963482, -0.26042515292850343, 0.023198933021143772, 0.09951542058640138, 0.21656817955852942, -0.026502360308239627, -0.2294951353200473, 0.0016794166186564537, 0.031581351788021454, 0.0030547029468729055, -0.0074095507910431815, 0.008326588631715886, -0.10149762583463344, -0.2547913746648403, 0.4006368081453581, 0.045648801053852536, -0.219591966765218, 0.0921651403376356, -0.23092854540621818, -0.23927293737895441, 0.0850452582925818, 0.17390308260571125, 0.16464446548428008, -0.0134941162649802, 0.0784732636563794, -0.22513241351712063, 0.06136030432508262, 0.16968646121947745, 0.06373915189963787, 0.18439986793930793, 0.05170120055202481, 0.038767528871810716, 0.21737929623097527, 0.05412415439143863, -0.07287704037654019, -0.30753940995241147, -0.20895056587983693, -0.23749805454619574, 0.047962287014491074, -0.2309347884616135, -0.1618511998311205, 0.41486376043149203, 0.08506616680926188, 0.13917033560574055, 0.22116637840693773, 0.22334517256984876, 0.05547563486656737, 0.007439996906404578, 0.05208699022376433, 0.1690196728247196, 0.2453377707211604, 0.04342868983160791, -0.11471274106656364, 0.08896014329349232, 0.26315103228160636] |
710.4347 | Multiplicative bijections of semigroups of interval-valued continuous
functions | We characterize all compact and Hausdorff spaces $X$ which satisfy that for
every multiplicative bijection $\phi$ on $C(X, I)$, there exist a homeomorphism
$\mu : X \to X$ and a continuous map $p: X \to (0, +\infty)$ such that $$\phi
(f) (x) = f(\mu (x))^{p(x)}$$ for every $f \in C(X,I)$ and $x \in X$. This
allows us to disprove a conjecture of Marovt (Proc. Amer. Math. Soc. {\bf 134}
(2006), 1065-1075). Some related results on other semigroups of functions are
also given.
| math.FA math.GN | we characterize all compact and hausdorff spaces x which satisfy that for every multiplicative bijection phi on cx i there exist a homeomorphism mu x to x and a continuous map p x to 0 infty such that phi f x fmu xpx for every f in cxi and x in x this allows us to disprove a conjecture of marovt proc amer math soc bf 134 2006 10651075 some related results on other semigroups of functions are also given | [['we', 'characterize', 'all', 'compact', 'and', 'hausdorff', 'spaces', 'x', 'which', 'satisfy', 'that', 'for', 'every', 'multiplicative', 'bijection', 'phi', 'on', 'cx', 'i', 'there', 'exist', 'a', 'homeomorphism', 'mu', 'x', 'to', 'x', 'and', 'a', 'continuous', 'map', 'p', 'x', 'to', '0', 'infty', 'such', 'that', 'phi', 'f', 'x', 'fmu', 'xpx', 'for', 'every', 'f', 'in', 'cxi', 'and', 'x', 'in', 'x', 'this', 'allows', 'us', 'to', 'disprove', 'a', 'conjecture', 'of', 'marovt', 'proc', 'amer', 'math', 'soc', 'bf', '134', '2006', '10651075', 'some', 'related', 'results', 'on', 'other', 'semigroups', 'of', 'functions', 'are', 'also', 'given']] | [-0.17789572027594416, 0.07755417438058913, -0.04580594492557494, 0.028330345607150486, -0.03172943495284719, -0.17509911009523121, 0.0918680035031719, 0.3889553545019295, -0.3121881050520423, -0.1619537064357649, 0.022880322080329533, -0.31619700062684747, -0.12817513461731658, 0.20689918790484155, -0.13997799747688341, -0.0026213790708563374, -0.020823643189159375, 0.02943863318879393, -0.12999470593242707, -0.27585727812374555, 0.2824069490844879, -0.11186850081563374, 0.15612064221803146, 0.05500672059133649, 0.13089158796540262, -0.007051444011209886, 0.009529336921493464, -0.037863523600611224, -0.24134265587321052, 0.055948712724508555, 0.28842667909928515, 0.11035229908184538, 0.24960067600624847, -0.2678548347851839, -0.11123892225478363, 0.25023385986119884, 0.01117621603292189, -0.17230584370591265, 0.041362787110589536, -0.30328521118322505, 0.16429017440642854, -0.10682327711742513, -0.1092363901648529, -0.10849165869287297, 0.2550783798133931, 0.043236121747501285, -0.36762864849400484, 0.01908385004115857, 0.184080631731526, 0.05402287415264151, -0.018748275184844728, -0.14897205913439393, -0.1209183775383649, 0.048179782879880714, -0.02969301293922376, 0.2632373999332703, 0.06439367140189427, 0.009067353880905274, -0.07964029757871846, 0.3322562734843998, -0.06546459915234318, -0.22750210577527744, 0.19635205171247827, -0.21489289886601082, -0.2337925826270086, 0.13798366290151695, 0.12550463566344372, 0.14154548827806324, -0.023403399090114626, 0.29587538373918876, -0.15893408136230103, 0.14331716504331113, 0.14824644993118283, -0.008018953284533116, 0.07487547152993988, 0.0200380992668952, 0.10845045354718319, 0.051488790051758146, 0.0148878315923429, 0.05765938453886163, -0.3874774535504889, -0.2005699484644434, -0.14890103441621824, 0.22484353218887804, -0.05749443243202441, -0.13706052858571086, 0.2661658631920626, 0.11514819665705855, 0.18597670591950616, 0.07374890180617052, 0.0496315434339303, 0.05390964299617217, -0.06807532840514485, 0.14425515181891904, 0.05097649116371169, 0.198912369028394, 0.039797136949115915, -0.08478045018457607, -0.03446507862993056, 0.14404479977144283] |
710.4348 | Boundary Entropy Can Increase Under Bulk RG Flow | The boundary entropy log(g) of a critical one-dimensional quantum system (or
two-dimensional conformal field theory) is known to decrease under
renormalization group (RG) flow of the boundary theory. We study instead the
behavior of the boundary entropy as the bulk theory flows between two nearby
critical points. We use conformal perturbation theory to calculate the change
in g due to a slightly relevant bulk perturbation and find that it has no
preferred sign. The boundary entropy log(g) can therefore increase during
appropriate bulk flows. This is demonstrated explicitly in flows between
minimal models. We discuss the applications of this result to D-branes in
string theory and to impurity problems in condensed matter.
| hep-th cond-mat.stat-mech | the boundary entropy logg of a critical onedimensional quantum system or twodimensional conformal field theory is known to decrease under renormalization group rg flow of the boundary theory we study instead the behavior of the boundary entropy as the bulk theory flows between two nearby critical points we use conformal perturbation theory to calculate the change in g due to a slightly relevant bulk perturbation and find that it has no preferred sign the boundary entropy logg can therefore increase during appropriate bulk flows this is demonstrated explicitly in flows between minimal models we discuss the applications of this result to dbranes in string theory and to impurity problems in condensed matter | [['the', 'boundary', 'entropy', 'logg', 'of', 'a', 'critical', 'onedimensional', 'quantum', 'system', 'or', 'twodimensional', 'conformal', 'field', 'theory', 'is', 'known', 'to', 'decrease', 'under', 'renormalization', 'group', 'rg', 'flow', 'of', 'the', 'boundary', 'theory', 'we', 'study', 'instead', 'the', 'behavior', 'of', 'the', 'boundary', 'entropy', 'as', 'the', 'bulk', 'theory', 'flows', 'between', 'two', 'nearby', 'critical', 'points', 'we', 'use', 'conformal', 'perturbation', 'theory', 'to', 'calculate', 'the', 'change', 'in', 'g', 'due', 'to', 'a', 'slightly', 'relevant', 'bulk', 'perturbation', 'and', 'find', 'that', 'it', 'has', 'no', 'preferred', 'sign', 'the', 'boundary', 'entropy', 'logg', 'can', 'therefore', 'increase', 'during', 'appropriate', 'bulk', 'flows', 'this', 'is', 'demonstrated', 'explicitly', 'in', 'flows', 'between', 'minimal', 'models', 'we', 'discuss', 'the', 'applications', 'of', 'this', 'result', 'to', 'dbranes', 'in', 'string', 'theory', 'and', 'to', 'impurity', 'problems', 'in', 'condensed', 'matter']] | [-0.16607435649244248, 0.18411621879619947, -0.11534103416904275, 0.06337720998895488, -0.0555190971187715, -0.13705312436546332, 0.03511047336360207, 0.29938727218541317, -0.26779479420344743, -0.2794560705411381, 0.08467520976306073, -0.2994592719894302, -0.16052292097343265, 0.136593171468121, -0.08429185726812907, 0.07970260644132006, -0.00878379972086155, 0.07284027746105234, -0.14442470997164492, -0.21600688612254867, 0.33597777035486487, 0.0028135007399084444, 0.29117078319956946, 0.09859949020808147, 0.017574701491477236, -0.02500349740252464, 0.01829151675961579, 0.06931535860141073, -0.19709692947208168, 0.08315778685729518, 0.2583177753813613, 0.010711886342115966, 0.21890497273333104, -0.43211220178220955, -0.30704431993321385, 0.0741538453242226, 0.11954065255122259, 0.13689875479654542, -0.023720993939995032, -0.21823176203594943, 0.09206535005276757, -0.15605988037506385, -0.16069943402128825, -0.05402720235204989, 0.020752115812293987, -0.10521064315772881, -0.21446502259433536, 0.12050013790472544, 0.0007015593000687659, 0.0840834811097011, -0.07388670494713422, -0.013593238769057539, -0.08015525419822163, 0.10524291855524227, 0.12359222300334036, 0.06423434019338206, 0.16944737856725364, -0.1692357683496084, -0.059216681718680775, 0.376481180312112, -0.10320251113755928, -0.1819215583049559, 0.20738044322934002, -0.1173990669568801, -0.1234058981644921, 0.06827612987503276, 0.1405629485961981, 0.1463252591742535, -0.12591727403092332, 0.1416265647099603, -0.023865611018014272, 0.1396594216824139, 0.05749027934091698, -0.01570912444003625, 0.23289430680545462, 0.07799931208761077, 0.09940029178064183, 0.15223009883525915, -0.03804541189206897, -0.13445411322754808, -0.35117513623221647, -0.16713588900165632, -0.1471908524150162, 0.06784121604037605, -0.1338566879938818, -0.22340160626585462, 0.35033272341492455, 0.1869240343374778, 0.18209258154300706, -0.010945552739680611, 0.2291456087592191, 0.14630272876300815, 0.05010000523907365, 0.11388106564325946, 0.24412295808932477, 0.19972336732150456, 0.08424345148627513, -0.2775913527418327, -0.03609010154988417, 0.14707889499342336] |
710.4349 | Notes on axiomatic Gromov--Witten theory and applications | This an expository article on Givental's axiomatic Gromov--Witten theory and
some of its applications.
| math.AG | this an expository article on giventals axiomatic gromovwitten theory and some of its applications | [['this', 'an', 'expository', 'article', 'on', 'giventals', 'axiomatic', 'gromovwitten', 'theory', 'and', 'some', 'of', 'its', 'applications']] | [-0.16419407642180367, -0.07595753193163546, -0.20482035734624202, 0.1549525430808509, -0.12349854383085455, -0.049906731549916525, 0.014192649454344064, 0.24722432970468486, -0.30223945528268814, -0.17151274305901357, 0.0551894698292017, -0.27425550669431686, -0.35270090507609503, 0.20571632430489575, -0.37726427601384266, -0.0002824332872738263, -0.010643001379711288, 0.06529963721654244, -0.13922759957079375, -0.4315171827163015, 0.42073006824856357, -0.008530123691473688, 0.22422625322360545, 0.24807334132492542, 0.13352593945871508, 0.0492276626506022, -0.021426836577510194, -0.04351911600679159, -0.2535936577811039, 0.34978226918194977, 0.36879056984824793, 0.1086621240247041, 0.24017906934022903, -0.4720017345888274, -0.09236016926089567, 0.06911142197038446, 0.13014125664319312, 0.0964386449860675, -0.03363378183816427, -0.3165363342767315, 0.013145027016954762, -0.22025035680936916, -0.23587954895836966, -0.11314140120521188, 0.05213393483843122, -0.04821832770747798, -0.0490530022153897, -0.13669294910505414, 0.09111550929290908, 0.26489787149642197, -0.024593204800372144, -0.12850365288821713, 0.0719573370047978, 0.015011774941480585, 0.094640688970685, 0.16327576605337007, 0.10650958885837879, -0.13851051642892084, -0.14679306279867887, 0.3775085487536022, 0.021261056419461966, -0.177047498524189, 0.08893408539838024, 0.04830554806228195, -0.2767985322113548, 0.0358936256546128, 0.0992438295590026, 0.2018027092729296, -0.13605798042512365, 0.2939403705656462, -0.06871903940503087, -0.0027153869824750082, 0.05304703043241586, 0.11266722796218735, 0.19722965758826053, 0.06931256516171354, -0.016784805871014084, 0.0507699788015868, 0.11644599861132779, -0.09578445294339742, -0.5037224899445262, -0.26684852982206003, -0.10634450202009507, 0.1721083399440561, -0.044771782886527944, -0.24319623410701752, 0.5054812842447843, 0.2080415298363992, 0.07020854630640574, 0.2064822709986142, 0.37651183190090315, 0.10476925696379372, -0.18111153655419393, -0.09086192216325019, 0.07406341215703703, 0.28870291941400084, 0.13763443450443447, -0.10730401572904416, -0.07121573531601046, 0.22854700365236827] |
710.435 | Why things fall | In this paper we discuss Internal Relativity, a recent program to address the
problem of quantum gravity. In our approach we change the relationship between
spacetime and matter. Currently we view matter as propagating on spacetime.
Einstein's equations encode how spacetime curves due to the presence of matter
and how spacetime, in turn, tells matter how to propagate. In internal
realtivity matter and spacetime cease to exist as distinct entities, rather,
they arise simultaneously from an underlying quantum system. It is through the
emergent matter degrees of freedom that geometry is inferred. We have termed
our program Internal Relativity to stress the importance of looking at the
system from the point of view of an internal observer. We argue that special
relativity is then a natural consequence of this viewpoint. The most important
new aspect of Internal Relativity involves how gravity appears. It is not just
a new quantum theory of gravity but a new theory of gravity. We also argue that
the presence of a massive object implies curvature. In particular we show that
Newtonian gravity arises in the appropriate limit. Our argument implies that
there is no propagation without gravitation.
| gr-qc | in this paper we discuss internal relativity a recent program to address the problem of quantum gravity in our approach we change the relationship between spacetime and matter currently we view matter as propagating on spacetime einsteins equations encode how spacetime curves due to the presence of matter and how spacetime in turn tells matter how to propagate in internal realtivity matter and spacetime cease to exist as distinct entities rather they arise simultaneously from an underlying quantum system it is through the emergent matter degrees of freedom that geometry is inferred we have termed our program internal relativity to stress the importance of looking at the system from the point of view of an internal observer we argue that special relativity is then a natural consequence of this viewpoint the most important new aspect of internal relativity involves how gravity appears it is not just a new quantum theory of gravity but a new theory of gravity we also argue that the presence of a massive object implies curvature in particular we show that newtonian gravity arises in the appropriate limit our argument implies that there is no propagation without gravitation | [['in', 'this', 'paper', 'we', 'discuss', 'internal', 'relativity', 'a', 'recent', 'program', 'to', 'address', 'the', 'problem', 'of', 'quantum', 'gravity', 'in', 'our', 'approach', 'we', 'change', 'the', 'relationship', 'between', 'spacetime', 'and', 'matter', 'currently', 'we', 'view', 'matter', 'as', 'propagating', 'on', 'spacetime', 'einsteins', 'equations', 'encode', 'how', 'spacetime', 'curves', 'due', 'to', 'the', 'presence', 'of', 'matter', 'and', 'how', 'spacetime', 'in', 'turn', 'tells', 'matter', 'how', 'to', 'propagate', 'in', 'internal', 'realtivity', 'matter', 'and', 'spacetime', 'cease', 'to', 'exist', 'as', 'distinct', 'entities', 'rather', 'they', 'arise', 'simultaneously', 'from', 'an', 'underlying', 'quantum', 'system', 'it', 'is', 'through', 'the', 'emergent', 'matter', 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710.4351 | Ricci flow and quantum theory | We show some relations between Ricci flow and quantum theory via Fisher
information and the quantum potential.
| math-ph math.MP | we show some relations between ricci flow and quantum theory via fisher information and the quantum potential | [['we', 'show', 'some', 'relations', 'between', 'ricci', 'flow', 'and', 'quantum', 'theory', 'via', 'fisher', 'information', 'and', 'the', 'quantum', 'potential']] | [-0.13192798397229874, 0.13985673343653188, -0.17832984030246735, 0.10202134455389836, -0.0570524631835082, -0.1878033540047267, -0.00225179927998825, 0.3263619094128337, -0.36728908033931956, -0.2430451223078896, 0.07400705268168274, -0.39244038304861856, -0.32471168479498697, 0.20608186897109537, -0.0028735307209631976, 0.13118808354963274, 0.014134891988600002, 0.14371890048770344, -0.09247991804252653, -0.23734611932955244, 0.37804573032018896, -0.004954538760049378, 0.3025599893401651, 0.19740568934118047, 0.1328875970314531, 0.024300343110500014, -0.01316136121749878, 0.050529891844181454, -0.27651695277103605, 0.16920735424055772, 0.17892675406833672, 0.17064582687966964, 0.21073953369084528, -0.4527345523238182, -0.27822398251908664, 0.1141148479655385, 0.06426792613723699, 0.15989098873208551, -0.09693731378544779, -0.357509681078441, 0.031583851970293945, -0.17381110984612913, 0.018824805837699816, -0.17028563951744752, -0.06543795632965424, -0.017825128236675963, -0.17389258742332458, 0.1561778823242468, 0.0415538514361662, 0.08867807615110103, 0.0007479938075822942, 0.01488637485924889, -0.0437530046876739, 0.1530659401734524, -0.02945512193529045, -0.06115090672392398, 0.11703360434073735, -0.20621862054309426, -0.12671935559688685, 0.3132881857454777, -0.11977304944165927, -0.22526254318654537, 0.1052585662178257, -0.08075384360135478, -0.03454021189142676, -0.12321377425071071, 0.12487876470036366, 0.06469555199146271, -0.1157201518825091, 0.11379566262065269, 0.04523353694992907, 0.1311803991522859, 0.04197423653129269, 0.12114890138892566, 0.24638058442403288, -0.03385087486137362, 0.0778119725668255, 0.1173736042178729, -0.04390720924472108, -0.27692407610661846, -0.3609816098914427, -0.2602576439214103, -0.19518851390218034, 0.11791338815408595, -0.21733994425705852, -0.06176021760877441, 0.3087554125882247, 0.12990886455073075, 0.191232816727065, 0.07587568382458652, 0.26711706050178585, 0.09535245356314323, -0.019540299825808582, 0.186517623198383, 0.2414059944481671, 0.3303856529733714, 0.12037334361058824, -0.24287566980894873, -0.08584280355888255, 0.14040924082784093] |
710.4352 | Measurement based entanglement under conditions of extreme photon loss | The act of measuring optical emissions from two remote qubits can entangle
them. By demanding that a photon from each qubit reaches the detectors, one can
ensure than no photon was lost. But the failure rate then rises quadratically
with loss probability. In [1] this resulted in 30 successes per billion
attempts. We describe a means to exploit the low grade entanglement heralded by
the detection of a lone photon: A subsequent perfect operation is quickly
achieved by consuming this noisy resource. We require only two qubits per node,
and can tolerate both path length variation and loss asymmetry. The impact of
photon loss upon the failure rate is then linear; realistic high-loss devices
can gain orders of magnitude in performance and thus support QIP.
| quant-ph | the act of measuring optical emissions from two remote qubits can entangle them by demanding that a photon from each qubit reaches the detectors one can ensure than no photon was lost but the failure rate then rises quadratically with loss probability in 1 this resulted in 30 successes per billion attempts we describe a means to exploit the low grade entanglement heralded by the detection of a lone photon a subsequent perfect operation is quickly achieved by consuming this noisy resource we require only two qubits per node and can tolerate both path length variation and loss asymmetry the impact of photon loss upon the failure rate is then linear realistic highloss devices can gain orders of magnitude in performance and thus support qip | [['the', 'act', 'of', 'measuring', 'optical', 'emissions', 'from', 'two', 'remote', 'qubits', 'can', 'entangle', 'them', 'by', 'demanding', 'that', 'a', 'photon', 'from', 'each', 'qubit', 'reaches', 'the', 'detectors', 'one', 'can', 'ensure', 'than', 'no', 'photon', 'was', 'lost', 'but', 'the', 'failure', 'rate', 'then', 'rises', 'quadratically', 'with', 'loss', 'probability', 'in', '1', 'this', 'resulted', 'in', '30', 'successes', 'per', 'billion', 'attempts', 'we', 'describe', 'a', 'means', 'to', 'exploit', 'the', 'low', 'grade', 'entanglement', 'heralded', 'by', 'the', 'detection', 'of', 'a', 'lone', 'photon', 'a', 'subsequent', 'perfect', 'operation', 'is', 'quickly', 'achieved', 'by', 'consuming', 'this', 'noisy', 'resource', 'we', 'require', 'only', 'two', 'qubits', 'per', 'node', 'and', 'can', 'tolerate', 'both', 'path', 'length', 'variation', 'and', 'loss', 'asymmetry', 'the', 'impact', 'of', 'photon', 'loss', 'upon', 'the', 'failure', 'rate', 'is', 'then', 'linear', 'realistic', 'highloss', 'devices', 'can', 'gain', 'orders', 'of', 'magnitude', 'in', 'performance', 'and', 'thus', 'support', 'qip']] | [-0.13773275269311852, 0.18761243901401758, -0.005766884371638298, 0.021448651894927024, -0.01001233702711761, -0.19852049198001623, 0.10882138963788748, 0.4043525533620268, -0.24449358972534538, -0.3488804829195142, 0.0581185006427113, -0.3275807325094938, -0.060696199053898454, 0.19591884249448777, -0.09874985289946199, 0.08842311677243561, 0.09877702553570271, 0.051779525671154264, -0.06514988403208553, -0.29687735603749754, 0.22441744068823755, 0.08976880371943116, 0.3140763211846352, 0.05178146360069513, 0.14935460290685296, 0.024757196348160506, -0.009772120133042336, -0.03425248548015952, -0.03419197773403721, 0.09144414480775595, 0.25207994916662574, 0.1420709905475378, 0.32526230132579803, -0.46196215412020686, -0.21499532683193684, 0.10960764429613482, 0.13262361246347426, 0.1405212210714817, -0.03251078408583999, -0.21926889552921056, 0.06591626152582467, -0.22000159990601242, -0.06208588851790409, -0.026162811543792488, -0.011007866762578488, -0.009307816561311483, -0.2560179278627038, 0.09659532879292965, 0.0055947437584400175, -0.0024241064116358756, 0.048809225056669674, -0.026886268952861427, -0.011841467127203941, 0.1223333736024797, -0.020678537007421255, 0.027049237117171287, 0.19049171815440058, -0.1376870517656207, -0.149750762719661, 0.3363415996730328, -0.048152068099589086, -0.15702471897006035, 0.17612686498183758, -0.11878574983775615, -0.04888593756221235, 0.18049573925323784, 0.1503102722391486, 0.09530350675806404, -0.1285935053601861, -0.023752809795783834, 0.07053823631629348, 0.2581932188272476, 0.13341642416082322, 0.12610871903132648, 0.20788104810548247, 0.1530038903914392, 0.09077983270585537, 0.18131043352466075, -0.11844301679194905, -0.036345014638267455, -0.261261997429654, -0.18166922488808632, -0.21780247977934777, 0.10790160685405135, -0.07357145079842303, -0.027577973484992982, 0.3980259321704507, 0.14026224271394314, 0.19424679792206734, 0.01277561730146408, 0.3597269845530391, 0.12498534570261836, 0.11598045572265983, 0.08796312477532774, 0.28527898237109184, 0.06075362006947398, 0.05847521648835391, -0.1988942240551114, 0.11558282758668065, -0.024439262364059685] |
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