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710.0653 | Study of the critical point in lattice QCD at high temperature and
density | We propose a method to probe the nature of phase transitions in lattice QCD
at finite temperature and density, which is based on the investigation of an
effective potential as a function of the average plaquette. We analyze data
obtained in a simulation of two-flavor QCD using p4-improved staggered quarks
with bare quark mass $m/T = 0.4$, and find that a first order phase transition
line appears in the high density regime for $\mu_q/T \sim 2.5$. The effective
potential as a function of the quark number density is also studied. We
calculate the chemical potential as a function of the density from the
canonical partition function and discuss the existence of the first order phase
transition line.
| hep-lat | we propose a method to probe the nature of phase transitions in lattice qcd at finite temperature and density which is based on the investigation of an effective potential as a function of the average plaquette we analyze data obtained in a simulation of twoflavor qcd using p4improved staggered quarks with bare quark mass mt 04 and find that a first order phase transition line appears in the high density regime for mu_qt sim 25 the effective potential as a function of the quark number density is also studied we calculate the chemical potential as a function of the density from the canonical partition function and discuss the existence of the first order phase transition line | [['we', 'propose', 'a', 'method', 'to', 'probe', 'the', 'nature', 'of', 'phase', 'transitions', 'in', 'lattice', 'qcd', 'at', 'finite', 'temperature', 'and', 'density', 'which', 'is', 'based', 'on', 'the', 'investigation', 'of', 'an', 'effective', 'potential', 'as', 'a', 'function', 'of', 'the', 'average', 'plaquette', 'we', 'analyze', 'data', 'obtained', 'in', 'a', 'simulation', 'of', 'twoflavor', 'qcd', 'using', 'p4improved', 'staggered', 'quarks', 'with', 'bare', 'quark', 'mass', 'mt', '04', 'and', 'find', 'that', 'a', 'first', 'order', 'phase', 'transition', 'line', 'appears', 'in', 'the', 'high', 'density', 'regime', 'for', 'mu_qt', 'sim', '25', 'the', 'effective', 'potential', 'as', 'a', 'function', 'of', 'the', 'quark', 'number', 'density', 'is', 'also', 'studied', 'we', 'calculate', 'the', 'chemical', 'potential', 'as', 'a', 'function', 'of', 'the', 'density', 'from', 'the', 'canonical', 'partition', 'function', 'and', 'discuss', 'the', 'existence', 'of', 'the', 'first', 'order', 'phase', 'transition', 'line']] | [-0.11325320688373378, 0.19329837909892125, -0.10864348302932521, 0.04851168246161, 0.009709069493290937, -0.03477487297214825, 0.12203142331142364, 0.34769606004180065, -0.17302591322343155, -0.2978888877249997, 0.0584524641714685, -0.27827006006003197, -0.10481495297802933, 0.07371270837230158, 0.0850123844976569, 0.05846305193323321, -0.039290451830060316, 0.0549603260427328, -0.16060987837283455, -0.17263199155347358, 0.3287028344669219, 0.008688122431490699, 0.25772574895607503, 0.13562202985711588, 0.07244799678828086, -0.006129644032375052, 0.019910036582210713, 0.005247484691890663, -0.14852512956042183, 0.011438245491670638, 0.17728260843633226, 0.012679211929809815, 0.20234181719093486, -0.3545437136580686, -0.21710192022096478, 0.08896141855351242, 0.13030693971186652, 0.1078909732238791, -0.07772587100545683, -0.23674330401238344, 0.06999363732744503, -0.2010753270848815, -0.17727649363223463, -0.09160010566383475, 0.0032369179253723345, 0.01786972917937513, -0.31608487893666687, 0.09046724082521716, -0.06120727476182169, 0.041566268035114325, -0.03334118158391934, -0.15990433857198164, -0.054881839364654676, 0.08681792816636956, 0.021774826569338167, 0.1396008570164699, 0.12356543502417104, -0.17470228806507357, -0.0717422723231219, 0.4192448348963055, -0.1380870881960085, -0.10868420528954473, 0.13836247452215095, -0.16622944897169184, -0.10620785740621645, 0.12694125878624618, 0.17118742525706004, 0.12202306926965006, -0.13818588586331443, 0.07976347058539776, -0.003533829850594288, 0.19342527210969349, 0.021406811039798475, 0.00947683581135011, 0.23061938251465045, 0.19792809496344677, 0.0378450124789479, 0.14887120486799113, -0.12113728291547761, -0.12101643355482997, -0.3262868802633201, -0.1383653220254928, -0.21944331278189502, 0.037796269370150626, -0.12787372748940032, -0.1857410140801221, 0.4183009662504854, 0.15171640886973334, 0.24752038355980968, 0.03258091824807644, 0.27668740830769567, 0.17197078637124424, 0.040411273463115356, 0.03779858794737736, 0.22566590312836243, 0.17725762822825847, 0.12564252530915085, -0.2771308932690239, -0.02711314468540187, 0.10530792794928982] |
710.0654 | Steady-state analysis of a multi-server queue in the Halfin-Whitt regime | We consider a multi-server queue in the Halfin-Whitt regime: as the number of
servers $n$ grows without a bound, the utilization approaches 1 from below at
the rate $\Theta(1/\sqrt{n})$. Assuming that the service time distribution is
lattice-valued with a finite support, we characterize the limiting stationary
queue length distribution in terms of the stationary distribution of an
explicitly constructed Markov chain. Furthermore, we obtain an explicit
expression for the critical exponent for the moment generating function of a
limiting (scaled) steady-state queue length. This exponent has a compact
representation in terms of three parameters: the amount of spare capacity and
the coefficients of variation of interarrival and service times. Interestingly,
it matches an analogous exponent corresponding to a single-server queue in the
conventional heavy-traffic regime.
| math.PR | we consider a multiserver queue in the halfinwhitt regime as the number of servers n grows without a bound the utilization approaches 1 from below at the rate theta1sqrtn assuming that the service time distribution is latticevalued with a finite support we characterize the limiting stationary queue length distribution in terms of the stationary distribution of an explicitly constructed markov chain furthermore we obtain an explicit expression for the critical exponent for the moment generating function of a limiting scaled steadystate queue length this exponent has a compact representation in terms of three parameters the amount of spare capacity and the coefficients of variation of interarrival and service times interestingly it matches an analogous exponent corresponding to a singleserver queue in the conventional heavytraffic regime | [['we', 'consider', 'a', 'multiserver', 'queue', 'in', 'the', 'halfinwhitt', 'regime', 'as', 'the', 'number', 'of', 'servers', 'n', 'grows', 'without', 'a', 'bound', 'the', 'utilization', 'approaches', '1', 'from', 'below', 'at', 'the', 'rate', 'theta1sqrtn', 'assuming', 'that', 'the', 'service', 'time', 'distribution', 'is', 'latticevalued', 'with', 'a', 'finite', 'support', 'we', 'characterize', 'the', 'limiting', 'stationary', 'queue', 'length', 'distribution', 'in', 'terms', 'of', 'the', 'stationary', 'distribution', 'of', 'an', 'explicitly', 'constructed', 'markov', 'chain', 'furthermore', 'we', 'obtain', 'an', 'explicit', 'expression', 'for', 'the', 'critical', 'exponent', 'for', 'the', 'moment', 'generating', 'function', 'of', 'a', 'limiting', 'scaled', 'steadystate', 'queue', 'length', 'this', 'exponent', 'has', 'a', 'compact', 'representation', 'in', 'terms', 'of', 'three', 'parameters', 'the', 'amount', 'of', 'spare', 'capacity', 'and', 'the', 'coefficients', 'of', 'variation', 'of', 'interarrival', 'and', 'service', 'times', 'interestingly', 'it', 'matches', 'an', 'analogous', 'exponent', 'corresponding', 'to', 'a', 'singleserver', 'queue', 'in', 'the', 'conventional', 'heavytraffic', 'regime']] | [-0.20384238716665534, 0.1333348944114527, -0.08119488711423811, 0.06782969658923967, 0.019391854418039832, -0.1349176335291216, 0.13302344654455797, 0.3285672151513638, -0.2704988590651943, -0.23046610605031734, 0.10954933558898647, -0.2894757069429503, -0.0595542622031644, 0.18266399357197505, -0.06305475562300172, 0.1031530820051088, -0.00047377799449849033, 0.13710171177292302, -0.042997019498744196, -0.23593078894285305, 0.2801918530303444, 0.061087880005699494, 0.34855667503190135, 0.016487090333905673, 0.10519296870634501, 0.02760016999015915, 0.03162088780476141, -0.051320908917865206, -0.17744040894989843, 0.03354639725876041, 0.20733981776509375, 0.0917485510299523, 0.24423622659730515, -0.3890743791876781, -0.19544295900531353, 0.13441171352901765, 0.18791256653850957, 0.044119325128474066, 0.02505983527930033, -0.21919202824093162, 0.11065118927921679, -0.2278156197787593, -0.1652897193918996, 0.02066754143039185, 0.05928881367998979, 0.08811936585886043, -0.33778565346203265, 0.05988418635341429, 0.0656414880537458, 0.019687075348150347, -0.06803208930162533, -0.09982714843335411, 0.05222849290998232, 0.17614414487710042, 0.08088940944646546, -0.018895685751622003, 0.1081974986497493, -0.13988505939262047, -0.08312399778937575, 0.3046113898256613, -0.10272314769005583, -0.20775567155496608, 0.11031199424647756, -0.12291550344126599, -0.1384445657886024, 0.14464430526394637, 0.172310218489128, 0.11352100913533039, -0.16648778173651907, 0.10458609166521309, -0.06864553114264121, 0.18971622473890742, 0.09145984783085183, 0.0691777540055374, 0.11279538563723045, 0.19466233481803247, 0.1293432327520643, 0.20776145639003166, -0.07976311481287403, -0.16026385938147863, -0.3081329841722524, -0.1685736335747342, -0.24297379503672523, 0.08444288127770226, -0.17832034490152915, -0.15168946667484218, 0.35058506605245415, 0.1018819197786636, 0.20342853655588003, 0.21403853630932468, 0.2745620763068268, 0.20812067598003084, -0.005845267051500419, 0.1738189907271355, 0.07622614029734846, 0.07055126036322044, 0.10138471035527126, -0.22312559705178794, 0.14436307261442585, 0.06266095275209556] |
710.0655 | Unique Games with Entangled Provers are Easy | We consider one-round games between a classical verifier and two provers who
share entanglement. We show that when the constraints enforced by the verifier
are `unique' constraints (i.e., permutations), the value of the game can be
well approximated by a semidefinite program. Essentially the only algorithm
known previously was for the special case of binary answers, as follows from
the work of Tsirelson in 1980. Among other things, our result implies that the
variant of the unique games conjecture where we allow the provers to share
entanglement is false. Our proof is based on a novel `quantum rounding
technique', showing how to take a solution to an SDP and transform it to a
strategy for entangled provers. Using our approximation by a semidefinite
program we also show a parallel repetition theorem for unique entangled games.
| quant-ph | we consider oneround games between a classical verifier and two provers who share entanglement we show that when the constraints enforced by the verifier are unique constraints ie permutations the value of the game can be well approximated by a semidefinite program essentially the only algorithm known previously was for the special case of binary answers as follows from the work of tsirelson in 1980 among other things our result implies that the variant of the unique games conjecture where we allow the provers to share entanglement is false our proof is based on a novel quantum rounding technique showing how to take a solution to an sdp and transform it to a strategy for entangled provers using our approximation by a semidefinite program we also show a parallel repetition theorem for unique entangled games | [['we', 'consider', 'oneround', 'games', 'between', 'a', 'classical', 'verifier', 'and', 'two', 'provers', 'who', 'share', 'entanglement', 'we', 'show', 'that', 'when', 'the', 'constraints', 'enforced', 'by', 'the', 'verifier', 'are', 'unique', 'constraints', 'ie', 'permutations', 'the', 'value', 'of', 'the', 'game', 'can', 'be', 'well', 'approximated', 'by', 'a', 'semidefinite', 'program', 'essentially', 'the', 'only', 'algorithm', 'known', 'previously', 'was', 'for', 'the', 'special', 'case', 'of', 'binary', 'answers', 'as', 'follows', 'from', 'the', 'work', 'of', 'tsirelson', 'in', '1980', 'among', 'other', 'things', 'our', 'result', 'implies', 'that', 'the', 'variant', 'of', 'the', 'unique', 'games', 'conjecture', 'where', 'we', 'allow', 'the', 'provers', 'to', 'share', 'entanglement', 'is', 'false', 'our', 'proof', 'is', 'based', 'on', 'a', 'novel', 'quantum', 'rounding', 'technique', 'showing', 'how', 'to', 'take', 'a', 'solution', 'to', 'an', 'sdp', 'and', 'transform', 'it', 'to', 'a', 'strategy', 'for', 'entangled', 'provers', 'using', 'our', 'approximation', 'by', 'a', 'semidefinite', 'program', 'we', 'also', 'show', 'a', 'parallel', 'repetition', 'theorem', 'for', 'unique', 'entangled', 'games']] | [-0.10774258950863172, 0.03501317447010445, -0.16498056951289375, 0.09930227277627973, -0.07786110133726012, -0.25883316783648397, 0.11693920808223386, 0.3295693694648367, -0.30108084078119307, -0.3213878856488952, 0.10372939948294381, -0.26087682732656875, -0.1355542181128705, 0.20597668508136713, -0.12630179844434478, 0.06152777023337506, 0.07888075596032043, 0.007067149268739201, 0.0021341697761306055, -0.309930469856287, 0.3385171488755279, -0.010828058232760264, 0.20378883661771263, 0.06171339382934901, 0.11004073994441164, 0.049351916472531024, 0.02013727145752421, 0.0453930716858142, -0.09459898135920176, 0.07481052941185663, 0.28047565361484883, 0.23318281193022375, 0.32774065683285397, -0.3736742046282247, -0.11267096668447334, 0.11207752306859388, 0.09349398902203473, 0.16180797943293496, -0.0445778425446608, -0.3000991542539042, 0.08153532144820524, -0.15763600843061729, -0.06312743600940815, -0.07222512059465602, -0.029251034181840992, -0.008131522154090581, -0.3142946953850764, 0.003077852448094981, 0.11926225521170569, 0.005352355815746166, -0.015711914594457657, -0.07398420681969987, 0.04506699400436547, 0.11564137408859096, 0.0025744119098547982, 0.031008440176783888, 0.06898388287259473, -0.07665994247180168, -0.22642150272235825, 0.34379064593878056, -0.05338827935737316, -0.1826500867941865, 0.17741647213524966, -0.08253602472099442, -0.17186755265057502, 0.046463320560373916, 0.10677472261918916, 0.17986776952597278, -0.10656394322318698, 0.08119578691182175, -0.160006019997376, 0.2318795291258505, 0.10107213469670602, 0.05177535333636182, 0.16816023789622164, 0.08004641974586303, 0.1635165733130028, 0.182307714509726, 0.05328441114095902, -0.12526544868877088, -0.25976820339069323, -0.18968636009635198, -0.24785830376980206, 0.05606046866591054, -0.05735737358853738, -0.11377004093525034, 0.3607267355373888, 0.11732178821219821, 0.10217299818199266, 0.1555003979553779, 0.30257021863427425, 0.09710341425854023, 0.056974311769698506, 0.12005612735671026, 0.22725593316610213, 0.12059155013412237, 0.09756155519539284, -0.18716427912349226, 0.08483131743139691, 0.10820337581551737] |
710.0656 | Measurement of b-Baryons with the CDF II detector | We report the observation of new bottom baryon states. The most recent result
is the observation of the baryon \Xi_b^- through the decay \Xi_b^- to J/\psi
\Xi^-. The significance of the signal corresponds to 7.7 sigma and the \Xi_b^-
mass is measured to be 5792.9 \pm 2.5(stat.) \pm 1.7(syst.) MeV/c^2. In
addition we observe four resonances in the \Lambda_b^0 \pi^{\pm} spectra,
consistent with the bottom baryons \Sigma_b^{(*)\pm}. All observations are in
agreement with theoretical expectations.
| hep-ex | we report the observation of new bottom baryon states the most recent result is the observation of the baryon xi_b through the decay xi_b to jpsi xi the significance of the signal corresponds to 77 sigma and the xi_b mass is measured to be 57929 pm 25stat pm 17syst mevc2 in addition we observe four resonances in the lambda_b0 pipm spectra consistent with the bottom baryons sigma_bpm all observations are in agreement with theoretical expectations | [['we', 'report', 'the', 'observation', 'of', 'new', 'bottom', 'baryon', 'states', 'the', 'most', 'recent', 'result', 'is', 'the', 'observation', 'of', 'the', 'baryon', 'xi_b', 'through', 'the', 'decay', 'xi_b', 'to', 'jpsi', 'xi', 'the', 'significance', 'of', 'the', 'signal', 'corresponds', 'to', '77', 'sigma', 'and', 'the', 'xi_b', 'mass', 'is', 'measured', 'to', 'be', '57929', 'pm', '25stat', 'pm', '17syst', 'mevc2', 'in', 'addition', 'we', 'observe', 'four', 'resonances', 'in', 'the', 'lambda_b0', 'pipm', 'spectra', 'consistent', 'with', 'the', 'bottom', 'baryons', 'sigma_bpm', 'all', 'observations', 'are', 'in', 'agreement', 'with', 'theoretical', 'expectations']] | [-0.10782700180503968, 0.2304619057544482, -0.08561637611254244, 0.0670817649224773, -0.02869694763354051, -0.08159836445230285, 0.07713573714529441, 0.2902904869736852, -0.13505029764083037, -0.29774269834160805, -0.047638364716722455, -0.43980088331610767, 0.07014056079945452, 0.11156967792634827, 0.05396094935870654, 0.11293061996489209, 0.09478934102918248, 0.03066388182530834, 0.00385421234485064, -0.159986378159374, 0.21467756200267152, -0.012837073841207736, 0.21465810516698136, 0.09683097199209638, -0.05412466629452349, -0.08017922993245963, -0.053362867190829805, -0.1329452255866616, -0.21627467444065857, 0.04262259842535305, 0.20112039814577312, 0.07086761152636059, 0.12779270105592505, -0.28095828391913624, -0.03620002282833731, 0.13598868620229532, 0.15773515708467648, 0.10993683576030103, -0.027825423528918543, -0.3777269489962507, 0.18527407562234313, -0.13231706188840642, -0.11207489747352697, -0.01815975021973655, 0.02535763562254205, -0.07119693491305853, -0.28324125900965286, 0.2280715724793137, -0.0997165553145916, 0.05027570895145874, -0.0650033476932377, -0.27310812753323166, -0.07994383657854554, 0.004420852640996108, 0.11938850952601815, 0.130257626577765, 0.12584808797298655, -0.06024565564380405, -0.14922875316020706, 0.4100395231633573, -0.152728035441927, -0.0938861584133544, 0.08037870876944146, -0.24953403899043397, -0.1532185122282622, 0.1625059952808393, 0.1594263188371032, 0.04819723895146839, -0.16788288765914133, 0.04325189406124598, -0.06687556232980175, 0.22779328373852312, 0.06602719730722743, 0.09443257990003347, 0.21100299148757412, 0.18814189201441114, -0.08296368089882103, 0.02013877611544386, -0.15348945213230075, -0.015501302176129978, -0.37098537385463715, -0.10609179828473292, -0.08389693108620122, 0.056439024522095114, -0.03098233107762959, -0.008073107289100016, 0.3931678102880314, 0.06711470582396598, 0.3808733513830481, 0.039847777461054154, 0.27555161233790015, 0.08620762699157805, 0.020058511504651728, 0.06949057266811488, 0.3437710240281917, 0.32521020804808753, 0.11815338052582701, -0.2708077460678445, 0.012024424477744646, -0.0668433331632735] |
710.0657 | A Multiresolution Census Algorithm for Calculating Vortex Statistics in
Turbulent Flows | The fundamental equations that model turbulent flow do not provide much
insight into the size and shape of observed turbulent structures. We
investigate the efficient and accurate representation of structures in
two-dimensional turbulence by applying statistical models directly to the
simulated vorticity field. Rather than extract the coherent portion of the
image from the background variation, as in the classical signal-plus-noise
model, we present a model for individual vortices using the non-decimated
discrete wavelet transform. A template image, supplied by the user, provides
the features to be extracted from the vorticity field. By transforming the
vortex template into the wavelet domain, specific characteristics present in
the template, such as size and symmetry, are broken down into components
associated with spatial frequencies. Multivariate multiple linear regression is
used to fit the vortex template to the vorticity field in the wavelet domain.
Since all levels of the template decomposition may be used to model each level
in the field decomposition, the resulting model need not be identical to the
template. Application to a vortex census algorithm that records quantities of
interest (such as size, peak amplitude, circulation, etc.) as the vorticity
field evolves is given. The multiresolution census algorithm extracts coherent
structures of all shapes and sizes in simulated vorticity fields and is able to
reproduce known physical scaling laws when processing a set of voriticity
fields that evolve over time.
| stat.AP physics.ao-ph | the fundamental equations that model turbulent flow do not provide much insight into the size and shape of observed turbulent structures we investigate the efficient and accurate representation of structures in twodimensional turbulence by applying statistical models directly to the simulated vorticity field rather than extract the coherent portion of the image from the background variation as in the classical signalplusnoise model we present a model for individual vortices using the nondecimated discrete wavelet transform a template image supplied by the user provides the features to be extracted from the vorticity field by transforming the vortex template into the wavelet domain specific characteristics present in the template such as size and symmetry are broken down into components associated with spatial frequencies multivariate multiple linear regression is used to fit the vortex template to the vorticity field in the wavelet domain since all levels of the template decomposition may be used to model each level in the field decomposition the resulting model need not be identical to the template application to a vortex census algorithm that records quantities of interest such as size peak amplitude circulation etc as the vorticity field evolves is given the multiresolution census algorithm extracts coherent structures of all shapes and sizes in simulated vorticity fields and is able to reproduce known physical scaling laws when processing a set of voriticity fields that evolve over time | [['the', 'fundamental', 'equations', 'that', 'model', 'turbulent', 'flow', 'do', 'not', 'provide', 'much', 'insight', 'into', 'the', 'size', 'and', 'shape', 'of', 'observed', 'turbulent', 'structures', 'we', 'investigate', 'the', 'efficient', 'and', 'accurate', 'representation', 'of', 'structures', 'in', 'twodimensional', 'turbulence', 'by', 'applying', 'statistical', 'models', 'directly', 'to', 'the', 'simulated', 'vorticity', 'field', 'rather', 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710.0658 | Detailed Network Measurements Using Sparse Graph Counters: The Theory | Measuring network flow sizes is important for tasks like accounting/billing,
network forensics and security. Per-flow accounting is considered hard because
it requires that many counters be updated at a very high speed; however, the
large fast memories needed for storing the counters are prohibitively
expensive. Therefore, current approaches aim to obtain approximate flow counts;
that is, to detect large elephant flows and then measure their sizes.
Recently the authors and their collaborators have developed [1] a novel
method for per-flow traffic measurement that is fast, highly memory efficient
and accurate. At the core of this method is a novel counter architecture called
"counter braids.'' In this paper, we analyze the performance of the counter
braid architecture under a Maximum Likelihood (ML) flow size estimation
algorithm and show that it is optimal; that is, the number of bits needed to
store the size of a flow matches the entropy lower bound. While the ML
algorithm is optimal, it is too complex to implement. In [1] we have developed
an easy-to-implement and efficient message passing algorithm for estimating
flow sizes.
| cs.NI cs.IT math.IT | measuring network flow sizes is important for tasks like accountingbilling network forensics and security perflow accounting is considered hard because it requires that many counters be updated at a very high speed however the large fast memories needed for storing the counters are prohibitively expensive therefore current approaches aim to obtain approximate flow counts that is to detect large elephant flows and then measure their sizes recently the authors and their collaborators have developed 1 a novel method for perflow traffic measurement that is fast highly memory efficient and accurate at the core of this method is a novel counter architecture called counter braids in this paper we analyze the performance of the counter braid architecture under a maximum likelihood ml flow size estimation algorithm and show that it is optimal that is the number of bits needed to store the size of a flow matches the entropy lower bound while the ml algorithm is optimal it is too complex to implement in 1 we have developed an easytoimplement and efficient message passing algorithm for estimating flow sizes | [['measuring', 'network', 'flow', 'sizes', 'is', 'important', 'for', 'tasks', 'like', 'accountingbilling', 'network', 'forensics', 'and', 'security', 'perflow', 'accounting', 'is', 'considered', 'hard', 'because', 'it', 'requires', 'that', 'many', 'counters', 'be', 'updated', 'at', 'a', 'very', 'high', 'speed', 'however', 'the', 'large', 'fast', 'memories', 'needed', 'for', 'storing', 'the', 'counters', 'are', 'prohibitively', 'expensive', 'therefore', 'current', 'approaches', 'aim', 'to', 'obtain', 'approximate', 'flow', 'counts', 'that', 'is', 'to', 'detect', 'large', 'elephant', 'flows', 'and', 'then', 'measure', 'their', 'sizes', 'recently', 'the', 'authors', 'and', 'their', 'collaborators', 'have', 'developed', '1', 'a', 'novel', 'method', 'for', 'perflow', 'traffic', 'measurement', 'that', 'is', 'fast', 'highly', 'memory', 'efficient', 'and', 'accurate', 'at', 'the', 'core', 'of', 'this', 'method', 'is', 'a', 'novel', 'counter', 'architecture', 'called', 'counter', 'braids', 'in', 'this', 'paper', 'we', 'analyze', 'the', 'performance', 'of', 'the', 'counter', 'braid', 'architecture', 'under', 'a', 'maximum', 'likelihood', 'ml', 'flow', 'size', 'estimation', 'algorithm', 'and', 'show', 'that', 'it', 'is', 'optimal', 'that', 'is', 'the', 'number', 'of', 'bits', 'needed', 'to', 'store', 'the', 'size', 'of', 'a', 'flow', 'matches', 'the', 'entropy', 'lower', 'bound', 'while', 'the', 'ml', 'algorithm', 'is', 'optimal', 'it', 'is', 'too', 'complex', 'to', 'implement', 'in', '1', 'we', 'have', 'developed', 'an', 'easytoimplement', 'and', 'efficient', 'message', 'passing', 'algorithm', 'for', 'estimating', 'flow', 'sizes']] | [-0.120017237540448, 0.08853900221929199, -0.08650995988009424, 0.09349195457143857, -0.08178215967964823, -0.21885559647370362, 0.05249760067419249, 0.41176468531185456, -0.2523895943021707, -0.3393192070741522, 0.14932796376820465, -0.24213506048808328, -0.12714991736157383, 0.20143037469594577, -0.11942603353852943, 0.11196055023083831, 0.07235585410926638, 0.03081072924006204, -0.013731494908336823, -0.25160240049152977, 0.2259632513258543, 0.09666580828117197, 0.3355785413240056, 0.03695145077670604, 0.12241038604307983, -0.03746521024501719, -0.03793680526271442, 0.028702419086775115, -0.08209794534783511, 0.14314912739446609, 0.26103042289456824, 0.18968614920352897, 0.2830740342884835, -0.4235329588356896, -0.1667081339621527, 0.09365736473467474, 0.15196877318542282, 0.11933159739394689, -0.05223842098582852, -0.195951907903398, 0.1475934541802643, -0.19544518708993316, -0.07262778298476827, -0.11187138126394842, 0.05640616893010624, 0.010773556646009602, -0.2741645185150585, 0.01762156644546674, 0.03146666914256195, 0.0006989611675804955, 0.025129284620242942, -0.08594889775192165, 0.058735495659464836, 0.14867564887965973, 0.016457401258123797, 0.027210039549670315, 0.13012235057356078, -0.13925999139651318, -0.07424658460616224, 0.3358459669602035, -0.010573106065476682, -0.20503334849441457, 0.18748978304408365, -0.037753513198619505, -0.14588911734300397, 0.17992413522002135, 0.2278402616581643, 0.1406361976135943, -0.14591103521870227, 0.014070831513490086, -0.04247100215594647, 0.20320730150735142, 0.043823432127318984, 0.006797628174667473, 0.14997135367018227, 0.21948781838682666, 0.13444994419706607, 0.15266237748815747, -0.12633548611196252, -0.06636424944867607, -0.2219253707582415, -0.1875110597340331, -0.21743113002450454, -0.0038306242852119234, -0.08029709748695552, -0.16055028291555953, 0.3392537462361957, 0.19947267461062992, 0.18148348363653077, 0.09975328854164162, 0.3976056912287775, 0.08436667498485265, 0.09839056640413542, 0.19581329556823956, 0.19435022998927423, 0.0911283293307501, 0.12355342554849294, -0.20490374160262279, 0.1298302405883458, 0.06306703965818262] |
710.0659 | The TrICE Prototype MAMPT Imaging Camera | The Track Imaging Cerenov Experiment (TrICE) is an air Cerenkov prototype
telescope designed to use multi-anode photomultiplier to acheive a high angular
resolution for measuring cosmic-ray composition at TeV-PeV energies. The TrICE
camera, composed of 16 Hamamatsu R8900 16-channel multi-anode photomultiplier
tubes, achieves 0.086 degree angular width per pixel over 1.5 degree wide field
of view. We present a description of the TrICE camera design, calibration and
performance.
| astro-ph | the track imaging cerenov experiment trice is an air cerenkov prototype telescope designed to use multianode photomultiplier to acheive a high angular resolution for measuring cosmicray composition at tevpev energies the trice camera composed of 16 hamamatsu r8900 16channel multianode photomultiplier tubes achieves 0086 degree angular width per pixel over 15 degree wide field of view we present a description of the trice camera design calibration and performance | [['the', 'track', 'imaging', 'cerenov', 'experiment', 'trice', 'is', 'an', 'air', 'cerenkov', 'prototype', 'telescope', 'designed', 'to', 'use', 'multianode', 'photomultiplier', 'to', 'acheive', 'a', 'high', 'angular', 'resolution', 'for', 'measuring', 'cosmicray', 'composition', 'at', 'tevpev', 'energies', 'the', 'trice', 'camera', 'composed', 'of', '16', 'hamamatsu', 'r8900', '16channel', 'multianode', 'photomultiplier', 'tubes', 'achieves', '0086', 'degree', 'angular', 'width', 'per', 'pixel', 'over', '15', 'degree', 'wide', 'field', 'of', 'view', 'we', 'present', 'a', 'description', 'of', 'the', 'trice', 'camera', 'design', 'calibration', 'and', 'performance']] | [-0.08615935645701195, 0.17163302080734866, -0.018887030800352946, -0.027975022318335534, -0.055518681070569786, -0.1478173938354082, -0.07183583604637533, 0.4567883209974477, -0.12934377604643954, -0.4771391543644396, 0.042830734718308755, -0.3283809495976929, 0.03530013734637054, 0.22904736605105977, -0.090906288531242, 0.05730641731387357, 0.13897236168850213, -0.08227357799610631, -0.05451861649017894, -0.19271965636025098, 0.09506977916779843, 0.25776898913141905, 0.32540929957758635, 0.028339282073306316, 0.2985525363209573, 0.020694152952990298, -0.06921082689906612, -0.04203623267963077, -0.11878012213855982, 0.03787205060661742, 0.28805530367588456, 0.09985007321687811, 0.12043429361515198, -0.3390094122256745, -0.1287636080135902, 0.07424370754707718, 0.07342742809630705, -0.10428850951773877, -0.0377046436311282, -0.30017207593967515, 0.09186123268304844, -0.17310442480260407, -0.1879403771070594, 0.07548331251988809, -0.08338771300975967, 0.03746948718573108, -0.19996410548320095, -0.04709398081159276, -0.10636756617124334, 0.1419078248030873, -0.03297621148962979, -0.16495807248054806, 0.05741597961627342, 0.05376665357669646, -0.0955860319187526, 0.06654264621796425, 0.20006382251581686, -0.16323197778547183, -0.049962105229496956, 0.2759930865387573, -0.04489070502335601, -0.12219333420084282, 0.120139718083947, -0.17020851591686634, -0.04161121337462894, 0.3040691476287038, 0.1932186573518045, 0.07866741824104931, -0.21108384379609066, -0.012401606599186462, 0.010482777216979726, 0.2945768917826089, 0.17076612702415636, 0.056800501689201956, 0.2672861773894648, 0.3173023017236229, 0.09882756462408879, 0.11478843949876275, -0.3568797769928069, 0.054659768092361366, -0.28374054534784093, -0.1720306525416108, -0.14225113541981432, 0.10416754713691206, -0.0648161294783208, -0.11353230668288289, 0.4259101015261628, 0.13657349226714083, 0.06998784168425834, 0.03236542862247337, 0.3550682290259636, -0.07739728902269041, 0.1257698909083212, -0.03218835563342454, 0.26442075421977224, 0.15901595999656076, 0.19995374394718304, -0.15803917925663744, -0.08397235372809297, 0.03769518726392451] |
710.066 | Effective Dynamics of Solitons in the Presence of Rough Nonlinear
Perturbations | The effective long-time dynamics of solitary wave solutions of the nonlinear
Schr\"odinger equation in the presence of rough nonlinear perturbations is
rigorously studied. It is shown that, if the initial state is close to a slowly
travelling soliton of the unperturbed NLS equation (in $H^1$ norm), then, over
a long time scale, the true solution of the initial value problem will be close
to a soliton whose center of mass dynamics is approximately determined by an
effective potential that corresponds to the restriction of the nonlinear
perturbation to the soliton manifold.
| math-ph math.MP | the effective longtime dynamics of solitary wave solutions of the nonlinear schrodinger equation in the presence of rough nonlinear perturbations is rigorously studied it is shown that if the initial state is close to a slowly travelling soliton of the unperturbed nls equation in h1 norm then over a long time scale the true solution of the initial value problem will be close to a soliton whose center of mass dynamics is approximately determined by an effective potential that corresponds to the restriction of the nonlinear perturbation to the soliton manifold | [['the', 'effective', 'longtime', 'dynamics', 'of', 'solitary', 'wave', 'solutions', 'of', 'the', 'nonlinear', 'schrodinger', 'equation', 'in', 'the', 'presence', 'of', 'rough', 'nonlinear', 'perturbations', 'is', 'rigorously', 'studied', 'it', 'is', 'shown', 'that', 'if', 'the', 'initial', 'state', 'is', 'close', 'to', 'a', 'slowly', 'travelling', 'soliton', 'of', 'the', 'unperturbed', 'nls', 'equation', 'in', 'h1', 'norm', 'then', 'over', 'a', 'long', 'time', 'scale', 'the', 'true', 'solution', 'of', 'the', 'initial', 'value', 'problem', 'will', 'be', 'close', 'to', 'a', 'soliton', 'whose', 'center', 'of', 'mass', 'dynamics', 'is', 'approximately', 'determined', 'by', 'an', 'effective', 'potential', 'that', 'corresponds', 'to', 'the', 'restriction', 'of', 'the', 'nonlinear', 'perturbation', 'to', 'the', 'soliton', 'manifold']] | [-0.16191248037624634, 0.10717278877212436, -0.12198388078384316, 0.08978611183004802, -0.06712992096340263, -0.09676961781671987, -0.05987897709109258, 0.31482245191767977, -0.31779778359846755, -0.21617253639499892, 0.1440955579797686, -0.27844200141543707, -0.12593750649510504, 0.14627651842618053, 0.01671623695478007, 0.11405227954018411, 0.0801954918469374, 0.1161516819323239, -0.062200775308595906, -0.2178318796392817, 0.37316030702057323, 0.027208673890557263, 0.23089419540713776, 0.016011645541536612, 0.13959358892516122, -0.04702717713643234, 0.0910339474596165, -0.015158163557586434, -0.15042678022499395, 0.04709627960199633, 0.1913723576214909, 0.05073617673018477, 0.32101434082365954, -0.40555636478321894, -0.22794288783692396, 0.11360738965795263, 0.17586557066661643, 0.17284184422569124, -0.009452815699790205, -0.3337744209956337, 0.08542732674127015, -0.08475897815539041, -0.26880852694387786, -0.006841666213554013, 0.11460680507410032, 0.06178624169634921, -0.2533579407525914, 0.1367627844619974, 0.03513796778221789, -0.08475567701344307, -0.1441507493990095, -0.0019701118286760463, -0.08161898446525191, 0.045347303935009374, 0.07411789023163882, 0.06287970010109328, 0.06395909591874742, -0.14902312340276255, -0.00718264157370828, 0.37521043129183435, -0.15003275374912625, -0.2533894027618481, 0.12796684120177895, -0.135024754432859, -0.006441424630203663, 0.19159760408533308, 0.15625063485496646, 0.14062079706914968, -0.13858854715395105, 0.11673447634042292, -0.044562944297897526, 0.22256938170559787, 0.1036113085094737, -0.019139336074119086, 0.16161225463908452, 0.19600259380896096, 0.15956359998844974, 0.0895109688645679, -0.010123245505063416, -0.1504747133783914, -0.2934181460558058, -0.08070829404507773, -0.19570400889778694, 0.11080496226086226, -0.09069057328707748, -0.17621507224528335, 0.4117389557944549, 0.1055794919400916, 0.17883601484840717, 0.021425769953466543, 0.2324565780492356, 0.2123020912244261, 0.009133668120049841, 0.09441242399075386, 0.28940113711651866, 0.18081463814027363, 0.12510965040316907, -0.27468251388335785, -0.02405921653025671, 0.08477045591552179] |
710.0661 | Self-consistent theory of phonon renormalization and electron-phonon
coupling near a 2D Kohn singularity | We show that the usual expression for evaluating electron-phonon coupling and
the phonon linewidth in 2D metals with a cylindrical Fermi surface cannot be
applied near the wave vector corresponding to the Kohn singularity. Instead,
the Dyson equation for phonons has to be solved self-consistently. If a
self-consistent procedure is properly followed, there is no divergency in
either the coupling constant or the phonon linewidth near the offending wave
vectors, in contrast to the standard expression.
| cond-mat.supr-con cond-mat.str-el | we show that the usual expression for evaluating electronphonon coupling and the phonon linewidth in 2d metals with a cylindrical fermi surface cannot be applied near the wave vector corresponding to the kohn singularity instead the dyson equation for phonons has to be solved selfconsistently if a selfconsistent procedure is properly followed there is no divergency in either the coupling constant or the phonon linewidth near the offending wave vectors in contrast to the standard expression | [['we', 'show', 'that', 'the', 'usual', 'expression', 'for', 'evaluating', 'electronphonon', 'coupling', 'and', 'the', 'phonon', 'linewidth', 'in', '2d', 'metals', 'with', 'a', 'cylindrical', 'fermi', 'surface', 'can', 'not', 'be', 'applied', 'near', 'the', 'wave', 'vector', 'corresponding', 'to', 'the', 'kohn', 'singularity', 'instead', 'the', 'dyson', 'equation', 'for', 'phonons', 'has', 'to', 'be', 'solved', 'selfconsistently', 'if', 'a', 'selfconsistent', 'procedure', 'is', 'properly', 'followed', 'there', 'is', 'no', 'divergency', 'in', 'either', 'the', 'coupling', 'constant', 'or', 'the', 'phonon', 'linewidth', 'near', 'the', 'offending', 'wave', 'vectors', 'in', 'contrast', 'to', 'the', 'standard', 'expression']] | [-0.11732819521581972, 0.13844510286822673, -0.06458148160683257, 0.06473508119196086, -0.09950329075482758, -0.1384030049848189, 0.042261075446164455, 0.389691020712837, -0.2658466743970556, -0.18903509660490922, 0.010841340626372242, -0.31770799686382345, -0.13348683196289296, 0.1909742717443687, 0.05435521443761498, 0.02790248824597953, 0.022422108623840205, 0.03560236433533008, -0.09051709031601521, -0.15476035159806928, 0.3005469055035962, 0.027631460425939846, 0.2947117598945057, 0.07611820571632548, 0.04664680402644293, 0.020002076057596255, 0.08752093877788487, 0.02908042725175619, -0.1116841899919174, 0.026258281743540973, 0.2709096434235863, -0.029528110046181586, 0.2551582308377248, -0.435673394615387, -0.24332776323396277, 0.0721297696136035, 0.18516251432721492, 0.18879610161877589, 0.002198810029968426, -0.25428915353395143, 0.026164811189201744, -0.11138003770649046, -0.16737949715128966, -0.06808697500012138, -0.00421048052512206, -0.05357465014926025, -0.2631914910328175, 0.13290349221123116, 0.0428129592789458, 0.007719479634293488, -0.09881250790695285, -0.0664341552424934, -0.05726779393652188, 0.03606000753397775, 0.0599035951913661, 0.08980625800111076, 0.11593122222134239, -0.09802953159896197, -0.04414584810918124, 0.4022940667225169, -0.15576922843783078, -0.2349512902415031, 0.12278679760729337, -0.15801760773839696, -0.020694233592019065, 0.19317033959480076, 0.0818608886707429, 0.05406819885391016, -0.16695088876846742, 0.1188482542502597, 0.0175969422036667, 0.1502534570414331, 0.11355780655300463, -0.01904887675954779, 0.1958598088013468, 0.09243292365126408, 0.00990413325270275, 0.06783069902728614, -0.09716109688357487, -0.03146109904174681, -0.2806066811665312, -0.15049917247545505, -0.2590077201315722, 0.06559657348624534, -0.07180281294877913, -0.20073386143844624, 0.3619140385613813, 0.10530120269743146, 0.17766270716372248, 0.004001578945037607, 0.26587136254295124, 0.25244179629877983, 0.11861524355670365, 0.11239694790648562, 0.30583544607673374, 0.1511009129175505, 0.04856330043841879, -0.30631193413411256, 0.015280391089618206, 0.07605931008016908] |
710.0662 | Modeling the line variations from the wind-wind shock emissions of WR
30a | The study of Wolf-Rayet stars plays an important role in evolutionary
theories of massive stars. Among these objects, ~ 20% are known to be in binary
systems and can therefore be used for the mass determination of these stars.
Most of these systems are not spatially resolved and spectral lines can be used
to constrain the orbital parameters. However, part of the emission may
originate in the interaction zone between the stellar winds, modifying the line
profiles and thus challenging us to use different models to interpret them. In
this work, we analyzed the HeII4686\AA + CIV4658\AA blended lines of WR30a
(WO4+O5) assuming that part of the emission originate in the wind-wind
interaction zone. In fact, this line presents a quiescent base profile,
attributed to the WO wind, and a superposed excess, which varies with the
orbital phase along the 4.6 day period. Under these assumptions, we were able
to fit the excess spectral line profile and central velocity for all phases,
except for the longest wavelengths, where a spectral line with constant
velocity seems to be present. The fit parameters provide the eccentricity and
inclination of the binary orbit, from which it is possible to constrain the
stellar masses.
| astro-ph | the study of wolfrayet stars plays an important role in evolutionary theories of massive stars among these objects 20 are known to be in binary systems and can therefore be used for the mass determination of these stars most of these systems are not spatially resolved and spectral lines can be used to constrain the orbital parameters however part of the emission may originate in the interaction zone between the stellar winds modifying the line profiles and thus challenging us to use different models to interpret them in this work we analyzed the heii4686aa civ4658aa blended lines of wr30a wo4o5 assuming that part of the emission originate in the windwind interaction zone in fact this line presents a quiescent base profile attributed to the wo wind and a superposed excess which varies with the orbital phase along the 46 day period under these assumptions we were able to fit the excess spectral line profile and central velocity for all phases except for the longest wavelengths where a spectral line with constant velocity seems to be present the fit parameters provide the eccentricity and inclination of the binary orbit from which it is possible to constrain the stellar masses | [['the', 'study', 'of', 'wolfrayet', 'stars', 'plays', 'an', 'important', 'role', 'in', 'evolutionary', 'theories', 'of', 'massive', 'stars', 'among', 'these', 'objects', '20', 'are', 'known', 'to', 'be', 'in', 'binary', 'systems', 'and', 'can', 'therefore', 'be', 'used', 'for', 'the', 'mass', 'determination', 'of', 'these', 'stars', 'most', 'of', 'these', 'systems', 'are', 'not', 'spatially', 'resolved', 'and', 'spectral', 'lines', 'can', 'be', 'used', 'to', 'constrain', 'the', 'orbital', 'parameters', 'however', 'part', 'of', 'the', 'emission', 'may', 'originate', 'in', 'the', 'interaction', 'zone', 'between', 'the', 'stellar', 'winds', 'modifying', 'the', 'line', 'profiles', 'and', 'thus', 'challenging', 'us', 'to', 'use', 'different', 'models', 'to', 'interpret', 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'masses']] | [-0.09929752960228003, 0.10584513156574804, -0.06535161166236951, 0.08285452419271072, -0.09801342214624852, -0.10302187361491796, 0.04126313464441456, 0.41620997016628586, -0.22028419045934405, -0.3525986816829596, 0.07535471678233872, -0.23528405215877754, -0.03962667705013584, 0.19022409836552703, -0.04247059491821206, -0.030967363519355272, 0.07142802567089884, -0.03394677660245902, -0.04064546543030212, -0.20186803983524443, 0.3377943090378092, 0.05272184450012178, 0.14126059611638386, 0.00936139358822495, 0.002733689228980205, -0.060404456726824624, -0.04674576943432793, -0.018743930702718594, -0.12076175912684098, 0.09329048206026737, 0.25021719184298535, 0.11870016862089053, 0.16030187798090853, -0.3693376493329803, -0.22596059798215254, 0.09679555117857093, 0.20098538734496404, 0.06644539101503025, 0.0015286129923203053, -0.22716369319539995, 0.05274563986861792, -0.16297911503829826, -0.196352069094204, 0.01949943774021589, 0.04625634740238102, 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0.1301814384662952, 0.10418405285297642, 0.11146732929568642, 0.3234140033523242, 0.17259232173435007, 0.09763389146194244, -0.23705936383384352, 0.09007275576989811, -0.004364519334660891] |
710.0663 | SAURON's Challenge for the Major Merger Scenario of Elliptical Galaxy
Formation | The intrinsic anisotropy delta and flattening epsilon of simulated merger
remnants is compared with elliptical galaxies that have been observed by the
SAURON collaboration, and that were analysed using axisymmetric Schwarzschild
models. Collisionless binary mergers of stellar disks and disk mergers with an
additional isothermal gas component, neglecting star formation cannot reproduce
the observed trend delta = 0.55 epsilon (SAURON relationship). An excellent fit
of the SAURON relationship for flattened ellipticals with epsilon >= 0.25 is
however found for merger simulations of disks with gas fractions >= 20%,
including star formation and stellar energy feedback. Massive black hole
feedback does not strongly affect this result. Subsequent dry merging of merger
remnants however does not generate the slowly-rotating SAURON ellipticals which
are characterized by low ellipticities epsilon < 0.25 and low anisotropies.
This indicates that at least some ellipticals on the red galaxy sequence did
not form by binary mergers of disks or early-type galaxies. We show that
stellar spheroids resulting from multiple, hierarchical mergers of
star-bursting subunits in a cosmological context are in excellent agreement
with the low ellipticities and anisotropies of the slowly rotating SAURON
ellipticals and their observed trend of delta with epsilon. The numerical
simulations indicate that the SAURON relation might be a result of strong
violent relaxation and phase mixing of multiple, kinematically cold stellar
subunits with the angular momentum of the system determining its location on
the relation.
| astro-ph | the intrinsic anisotropy delta and flattening epsilon of simulated merger remnants is compared with elliptical galaxies that have been observed by the sauron collaboration and that were analysed using axisymmetric schwarzschild models collisionless binary mergers of stellar disks and disk mergers with an additional isothermal gas component neglecting star formation cannot reproduce the observed trend delta 055 epsilon sauron relationship an excellent fit of the sauron relationship for flattened ellipticals with epsilon 025 is however found for merger simulations of disks with gas fractions 20 including star formation and stellar energy feedback massive black hole feedback does not strongly affect this result subsequent dry merging of merger remnants however does not generate the slowlyrotating sauron ellipticals which are characterized by low ellipticities epsilon 025 and low anisotropies this indicates that at least some ellipticals on the red galaxy sequence did not form by binary mergers of disks or earlytype galaxies we show that stellar spheroids resulting from multiple hierarchical mergers of starbursting subunits in a cosmological context are in excellent agreement with the low ellipticities and anisotropies of the slowly rotating sauron ellipticals and their observed trend of delta with epsilon the numerical simulations indicate that the sauron relation might be a result of strong violent relaxation and phase mixing of multiple kinematically cold stellar subunits with the angular momentum of the system determining its location on the relation | [['the', 'intrinsic', 'anisotropy', 'delta', 'and', 'flattening', 'epsilon', 'of', 'simulated', 'merger', 'remnants', 'is', 'compared', 'with', 'elliptical', 'galaxies', 'that', 'have', 'been', 'observed', 'by', 'the', 'sauron', 'collaboration', 'and', 'that', 'were', 'analysed', 'using', 'axisymmetric', 'schwarzschild', 'models', 'collisionless', 'binary', 'mergers', 'of', 'stellar', 'disks', 'and', 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0.09734415304847062, -0.0386447482438677] |
710.0664 | Synthesis and Optimization of Reversible Circuits for Homogeneous
Boolean Functions | Homogenous Boolean function is an essential part of any cryptographic system.
The ability to construct an optimized reversible circuits for homogeneous
Boolean functions might arise the possibility of building cryptographic system
on novel computing paradigms such as quantum computers. This paper shows a
factorization algorithm to synthesize such circuits.
| quant-ph | homogenous boolean function is an essential part of any cryptographic system the ability to construct an optimized reversible circuits for homogeneous boolean functions might arise the possibility of building cryptographic system on novel computing paradigms such as quantum computers this paper shows a factorization algorithm to synthesize such circuits | [['homogenous', 'boolean', 'function', 'is', 'an', 'essential', 'part', 'of', 'any', 'cryptographic', 'system', 'the', 'ability', 'to', 'construct', 'an', 'optimized', 'reversible', 'circuits', 'for', 'homogeneous', 'boolean', 'functions', 'might', 'arise', 'the', 'possibility', 'of', 'building', 'cryptographic', 'system', 'on', 'novel', 'computing', 'paradigms', 'such', 'as', 'quantum', 'computers', 'this', 'paper', 'shows', 'a', 'factorization', 'algorithm', 'to', 'synthesize', 'such', 'circuits']] | [-0.18022775957931061, 0.01862265632965374, -0.0682527987400488, 0.04471316553500234, -0.057293561534309874, -0.20359504890951272, 0.006697061649827781, 0.373614418719496, -0.36779709798949106, -0.2467126270414007, 0.05657044838049582, -0.19537661585728733, -0.24106320392872607, 0.27273585202590545, -0.07459840832316146, 0.18718722835183144, -0.022808183043986102, -0.02788396488533032, -0.049121499194630554, -0.23717293536708672, 0.3175256829328683, 0.030307403278575108, 0.2714474218593416, -0.01971911057373699, 0.08723404904713436, -0.007959663145700279, 0.028782687387524212, -0.05648226577940644, -0.0610456554081329, 0.1318108388222754, 0.3103706729883442, 0.2185909889961536, 0.28186043367569086, -0.47293319009548546, -0.15338832761721724, 0.18501513350602924, 0.13947074489706024, 0.1671228467727945, -0.07333039949714605, -0.22931066512757417, 0.09686753431297078, -0.2146567881715541, -0.13686025982760652, -0.14110128938372493, 0.020386924824620387, 0.012863649093374913, -0.26535332947969437, -0.08793862211536996, 0.12515849984079905, 0.04585104912747534, 0.019411902019411932, -0.10738083040246701, 0.11465865935255982, 0.13564406541575277, -0.15232914901452557, 0.04909704190355783, 0.21143264764425707, -0.12703761666994162, -0.22925248780116744, 0.35024327067753336, 0.03424767375334489, -0.18838993114020144, 0.16913211822737845, 0.019473043220516826, -0.17664767277179932, 0.052953509803937406, 0.20366829970604455, 0.07865557251783202, -0.17407278845808943, 0.100441084889581, -0.030440012829340234, 0.26612032775063904, 0.0022989876036133084, 0.0929499864768313, 0.21175553668670508, 0.16536362632652934, 0.08649577244127891, 0.2111867589457911, 0.06434376859486256, -0.11630616547083672, -0.2661137485838666, -0.23303088521090698, -0.2154821551319364, 0.12648627926994646, -0.06809764997843577, -0.28337659688704475, 0.3585712349384415, 0.14602132088371686, 0.12187941394489715, 0.09437982528945621, 0.34458738010452716, 0.12310449307432816, 0.1431062057500287, 0.07335617323881205, 0.10213545557795739, 0.12474631389355934, 0.09245335866640113, -0.160443821836415, 0.12310363819860683, 0.06105979978658107] |
710.0665 | Infrared exponents of gluon and ghost propagators from Lattice QCD | The compatibility of the pure power law infrared solution of QCD
Dyson-Schwinger equations (DSE) and lattice data for the gluon and ghost
propagators in Landau gauge is discussed. For the gluon propagator, the lattice
data is compatible with the DSE infrared solution with an exponent
$\kappa\sim0.53$, measured using a technique that suppresses finite volume
effects and allows to model these corrections to the lattice data. For the
ghost propagator, the lattice data does not seem to follow the infrared DSE
power law solution.
| hep-lat | the compatibility of the pure power law infrared solution of qcd dysonschwinger equations dse and lattice data for the gluon and ghost propagators in landau gauge is discussed for the gluon propagator the lattice data is compatible with the dse infrared solution with an exponent kappasim053 measured using a technique that suppresses finite volume effects and allows to model these corrections to the lattice data for the ghost propagator the lattice data does not seem to follow the infrared dse power law solution | [['the', 'compatibility', 'of', 'the', 'pure', 'power', 'law', 'infrared', 'solution', 'of', 'qcd', 'dysonschwinger', 'equations', 'dse', 'and', 'lattice', 'data', 'for', 'the', 'gluon', 'and', 'ghost', 'propagators', 'in', 'landau', 'gauge', 'is', 'discussed', 'for', 'the', 'gluon', 'propagator', 'the', 'lattice', 'data', 'is', 'compatible', 'with', 'the', 'dse', 'infrared', 'solution', 'with', 'an', 'exponent', 'kappasim053', 'measured', 'using', 'a', 'technique', 'that', 'suppresses', 'finite', 'volume', 'effects', 'and', 'allows', 'to', 'model', 'these', 'corrections', 'to', 'the', 'lattice', 'data', 'for', 'the', 'ghost', 'propagator', 'the', 'lattice', 'data', 'does', 'not', 'seem', 'to', 'follow', 'the', 'infrared', 'dse', 'power', 'law', 'solution']] | [-0.07960856122123759, 0.16038424639395443, -0.20466703973801398, 0.07152569614543874, -0.1402415504782722, -0.09883050478018093, 0.06177888245026513, 0.3481478037585209, -0.2166602120098726, -0.20244820147366605, 0.0816200814513694, -0.32368285648781014, -0.06020439585398247, 0.0968859494300332, -0.005061121646133138, 0.12171131267961932, 0.04422349614522806, -0.008560117572636866, -0.011408562996288443, -0.24749333160452364, 0.3616701005049413, 0.06582254957316852, 0.3194612641932397, 0.11127426300379561, 0.11293144933538647, 0.019897056266483738, -0.0678511372790104, 0.005047741255200491, -0.12561511207223236, 0.01725840515729676, 0.20462354891592774, 0.0451461030851777, 0.14231476663163203, -0.37432437185652373, -0.19003764949966132, 0.05709567156097874, 0.1505195994111823, 0.1338666523522811, -0.02115212851090402, -0.19655379666606101, 0.06595658771012251, -0.16808821176882924, -0.24503526196775322, -0.1367826252130837, -0.09004371983521595, -0.06348073861857013, -0.3555327094693827, 0.11056162210794665, -0.06796186503091055, 0.0017578578440517914, -0.09150067159250129, -0.14576752722354197, -0.06883898490426563, 0.06920019704734952, 0.05238440632962099, 0.07512035236194185, 0.0751586226491249, -0.2629887003724168, -0.12537379953555944, 0.43872176394684287, -0.06419367628262901, -0.1778310338921118, 0.11177155835463143, -0.17490957747781422, -0.10191827616086457, 0.18414521244604412, 0.0636643105436389, 0.061094796129753645, -0.20176817799872923, 0.18546428860565534, -0.011154140328715851, 0.19697765262070588, 0.04876757715260837, 0.06617499086665125, 0.15265544528913935, 0.09663770122811334, -0.01223873782039779, 0.09924922701008278, -0.008367225777630398, -0.1737362123094499, -0.36415702165899483, -0.05563525435310311, -0.17152922097082454, 0.049527917105723004, -0.15860799073029405, -0.1925542167410618, 0.30407693158698884, 0.12232233674787893, 0.10288760653787815, 0.06839011668613772, 0.3002084318275859, 0.1908178149961026, 0.15417769003841209, 0.048345146371369684, 0.2126792344241971, 0.11788167560575302, 0.19164663047257174, -0.3521842534778776, -0.128440122074652, 0.13526562813430934] |
710.0666 | Thiol density dependent classical potential for methyl-thiol on a
Au(111) surface | A new classical potential for methyl-thiol on a Au(111) surface has been
developed using density functional theory electronic structure calculations.
Energy surfaces between methyl-thiol and a gold surface were investigated in
terms of symmetry sites and thiol density. Geometrical optimization was
employed over all the configurations while minimum energy and thiol height were
determined. Finally, a new interatomic potential has been generated as a
function of thiol density, and applications to coarse-grained simulations are
presented.
| cond-mat.mtrl-sci cond-mat.soft | a new classical potential for methylthiol on a au111 surface has been developed using density functional theory electronic structure calculations energy surfaces between methylthiol and a gold surface were investigated in terms of symmetry sites and thiol density geometrical optimization was employed over all the configurations while minimum energy and thiol height were determined finally a new interatomic potential has been generated as a function of thiol density and applications to coarsegrained simulations are presented | [['a', 'new', 'classical', 'potential', 'for', 'methylthiol', 'on', 'a', 'au111', 'surface', 'has', 'been', 'developed', 'using', 'density', 'functional', 'theory', 'electronic', 'structure', 'calculations', 'energy', 'surfaces', 'between', 'methylthiol', 'and', 'a', 'gold', 'surface', 'were', 'investigated', 'in', 'terms', 'of', 'symmetry', 'sites', 'and', 'thiol', 'density', 'geometrical', 'optimization', 'was', 'employed', 'over', 'all', 'the', 'configurations', 'while', 'minimum', 'energy', 'and', 'thiol', 'height', 'were', 'determined', 'finally', 'a', 'new', 'interatomic', 'potential', 'has', 'been', 'generated', 'as', 'a', 'function', 'of', 'thiol', 'density', 'and', 'applications', 'to', 'coarsegrained', 'simulations', 'are', 'presented']] | [-0.09503737407774754, 0.10142789023277694, -0.11117713318895293, 0.0651967487718961, -0.003885989337330301, -0.12390422783409284, 0.02309510879671482, 0.4374514161768586, -0.2169326957289691, -0.347167635770285, 0.000339055331806614, -0.2854972377878754, -0.16842006800109394, 0.17700887903609402, 0.023696095641217614, 0.09718350661688879, 0.0015185286916077954, 0.005092818210258671, -0.1130238686471361, -0.2201357092166141, 0.24469864948282707, 0.09925816703128489, 0.28791512663744084, 0.14445851181876168, 0.07647079191719221, -0.0038074102979918866, 0.05940796950934072, 0.08435794426613066, -0.22637696952673875, 0.1562543937963137, 0.2000438972114751, -0.015852349803923336, 0.24444382760533426, -0.5036843245568341, -0.29874545633824773, 0.020579576843150267, 0.07375018955016993, 0.13711094945248165, -0.11134089271327455, -0.24728348667490974, 0.11029041286762038, -0.15804727766535256, -0.11407130084013285, -0.09057688493638823, 0.02009166521977072, 0.09316368597441621, -0.20600092234823547, 0.06709754844642665, -0.11345419451300923, 0.1303233489264018, -0.10839696522891419, -0.16587702140582036, -0.12858138508992653, 0.09273314091204729, -0.004056914184842105, 0.034498223014277955, 0.207006666581274, -0.06460805584944479, -0.09146112974171769, 0.3574316980291719, -0.057609033774846066, -0.16573488614832893, 0.22971460593175397, -0.06122941038992307, -0.08501188829541206, 0.14914955321240098, 0.12427251819163969, 0.12127458244204929, -0.1717615354278329, 0.1490006112295828, 0.015208570760266524, 0.16757288353185948, 0.13556013572068043, -0.029355717854803964, 0.17559987280760214, 0.1643102759214705, 0.03851537795558776, 0.10032039140797641, -0.13461937342311114, -0.0895528267073917, -0.22771069558005627, -0.19049630775945645, -0.2351678176352448, 0.016580225475617265, -0.00982748071443009, -0.16598017407223992, 0.4142348696413922, -0.01864961944026107, 0.1401265250608223, -0.04434759136646578, 0.2119321687759398, 0.09094709321084649, 0.10542962234467268, 0.007933672944925828, 0.1827489244687843, 0.19716493551593836, -0.006835935686791494, -0.19386391372305073, 0.06831576934160843, 0.07764833062976496] |
710.0667 | Chaotic Period Doubling | The period doubling renormalization operator was introduced by M. Feigenbaum
and by P. Coullet and C. Tresser in the nineteen-seventieth to study the
asymptotic small scale geometry of the attractor of one-dimensional systems
which are at the transition from simple to chaotic dynamics. This geometry
turns out to not depend on the choice of the map under rather mild smoothness
conditions. The existence of a unique renormalization fixed point which is also
hyperbolic among generic smooth enough maps plays a crucial role in the
corresponding renormalization theory. The uniqueness and hyperbolicity of the
renormalization fixed point were first shown in the holomorphic context, by
means that generalize to other renormalization operators. It was then proved
that in the space of $C^{2+\alpha}$ unimodal maps, for $\alpha$ close to one,
the period doubling renormalization fixed point is hyperbolic as well. In this
paper we study what happens when one approaches from below the minimal
smoothness thresholds for the uniqueness and for the hyperbolicity of the
period doubling renormalization generic fixed point. Indeed, our main results
states that in the space of $C^2$ unimodal maps the analytic fixed point is not
hyperbolic and that the same remains true when adding enough smoothness to get
a priori bounds. In this smoother class, called $C^{2+|\cdot|}$ the failure of
hyperbolicity is tamer than in $C^2$. Things get much worse with just a bit
less of smoothness than $C^2$ as then even the uniqueness is lost and other
asymptotic behavior become possible. We show that the period doubling
renormalization operator acting on the space of $C^{1+Lip}$ unimodal maps has
infinite topological entropy.
| math.DS | the period doubling renormalization operator was introduced by m feigenbaum and by p coullet and c tresser in the nineteenseventieth to study the asymptotic small scale geometry of the attractor of onedimensional systems which are at the transition from simple to chaotic dynamics this geometry turns out to not depend on the choice of the map under rather mild smoothness conditions the existence of a unique renormalization fixed point which is also hyperbolic among generic smooth enough maps plays a crucial role in the corresponding renormalization theory the uniqueness and hyperbolicity of the renormalization fixed point were first shown in the holomorphic context by means that generalize to other renormalization operators it was then proved that in the space of c2alpha unimodal maps for alpha close to one the period doubling renormalization fixed point is hyperbolic as well in this paper we study what happens when one approaches from below the minimal smoothness thresholds for the uniqueness and for the hyperbolicity of the period doubling renormalization generic fixed point indeed our main results states that in the space of c2 unimodal maps the analytic fixed point is not hyperbolic and that the same remains true when adding enough smoothness to get a priori bounds in this smoother class called c2cdot the failure of hyperbolicity is tamer than in c2 things get much worse with just a bit less of smoothness than c2 as then even the uniqueness is lost and other asymptotic behavior become possible we show that the period doubling renormalization operator acting on the space of c1lip unimodal maps has infinite topological entropy | [['the', 'period', 'doubling', 'renormalization', 'operator', 'was', 'introduced', 'by', 'm', 'feigenbaum', 'and', 'by', 'p', 'coullet', 'and', 'c', 'tresser', 'in', 'the', 'nineteenseventieth', 'to', 'study', 'the', 'asymptotic', 'small', 'scale', 'geometry', 'of', 'the', 'attractor', 'of', 'onedimensional', 'systems', 'which', 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'renormalization', 'operator', 'acting', 'on', 'the', 'space', 'of', 'c1lip', 'unimodal', 'maps', 'has', 'infinite', 'topological', 'entropy']] | [-0.13176148094180634, 0.1323276561797338, -0.12136436173224914, 0.10136951423009341, -0.05945493361006133, -0.15089569533927216, 0.05247579067024781, 0.326946544866414, -0.27384040576225227, -0.2125437999066291, 0.14776911141643895, -0.2590130957112623, -0.16332620539447512, 0.18201230407494187, -0.08552235257971195, 0.06447720895928576, 0.016866122453009617, 0.07335413330740971, -0.11430962951592712, -0.2512501085198311, 0.3993710661705357, 0.02744901981983801, 0.2341518740456537, 0.051980272006064636, 0.07802046928377716, -0.0074281818888543225, -0.0025807979818568087, -0.0031914345378068563, -0.15995459694983796, 0.06409818558496008, 0.21449008388241164, 0.06221761561119256, 0.2732188573767548, -0.340135666113276, -0.2193858546041972, 0.14823738025048103, 0.1322612148831765, 0.05877840302498593, -0.03397899435942872, -0.2714032382693694, 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710.0668 | Visible and invisible molecular gas in collisional debris of galaxies | Molecular gas has been searched for and found in unexpectedly large
quantities in some collisional debris of interacting galaxies: HI-rich tidal
tails, bridges and collisional rings. It was so far observed through millimeter
observations of the CO line and detected towards or near regions of
star-formation associated to dense condensations of the atomic hydrogen. The
discovery of cool H2 at distances greater than 50 kpc from the parent
(colliding) galaxies, whereas the external disk of spirals is generally
considered to be CO-poor, raised question on its origin and favored the
hypothesis of a local production out of collapsed HI clouds. However recent
observations of a diffuse CO component along tidal debris have challenged this
idea. Another recent puzzle is the measurement in the collisional debris of two
interacting systems and four recycled objects of a missing mass, whereas no
dark matter is expected there. One debated interpretation is that this unseen
component is cold, "invisible" molecular gas initially present in the disk of
spirals.
| astro-ph | molecular gas has been searched for and found in unexpectedly large quantities in some collisional debris of interacting galaxies hirich tidal tails bridges and collisional rings it was so far observed through millimeter observations of the co line and detected towards or near regions of starformation associated to dense condensations of the atomic hydrogen the discovery of cool h2 at distances greater than 50 kpc from the parent colliding galaxies whereas the external disk of spirals is generally considered to be copoor raised question on its origin and favored the hypothesis of a local production out of collapsed hi clouds however recent observations of a diffuse co component along tidal debris have challenged this idea another recent puzzle is the measurement in the collisional debris of two interacting systems and four recycled objects of a missing mass whereas no dark matter is expected there one debated interpretation is that this unseen component is cold invisible molecular gas initially present in the disk of spirals | [['molecular', 'gas', 'has', 'been', 'searched', 'for', 'and', 'found', 'in', 'unexpectedly', 'large', 'quantities', 'in', 'some', 'collisional', 'debris', 'of', 'interacting', 'galaxies', 'hirich', 'tidal', 'tails', 'bridges', 'and', 'collisional', 'rings', 'it', 'was', 'so', 'far', 'observed', 'through', 'millimeter', 'observations', 'of', 'the', 'co', 'line', 'and', 'detected', 'towards', 'or', 'near', 'regions', 'of', 'starformation', 'associated', 'to', 'dense', 'condensations', 'of', 'the', 'atomic', 'hydrogen', 'the', 'discovery', 'of', 'cool', 'h2', 'at', 'distances', 'greater', 'than', '50', 'kpc', 'from', 'the', 'parent', 'colliding', 'galaxies', 'whereas', 'the', 'external', 'disk', 'of', 'spirals', 'is', 'generally', 'considered', 'to', 'be', 'copoor', 'raised', 'question', 'on', 'its', 'origin', 'and', 'favored', 'the', 'hypothesis', 'of', 'a', 'local', 'production', 'out', 'of', 'collapsed', 'hi', 'clouds', 'however', 'recent', 'observations', 'of', 'a', 'diffuse', 'co', 'component', 'along', 'tidal', 'debris', 'have', 'challenged', 'this', 'idea', 'another', 'recent', 'puzzle', 'is', 'the', 'measurement', 'in', 'the', 'collisional', 'debris', 'of', 'two', 'interacting', 'systems', 'and', 'four', 'recycled', 'objects', 'of', 'a', 'missing', 'mass', 'whereas', 'no', 'dark', 'matter', 'is', 'expected', 'there', 'one', 'debated', 'interpretation', 'is', 'that', 'this', 'unseen', 'component', 'is', 'cold', 'invisible', 'molecular', 'gas', 'initially', 'present', 'in', 'the', 'disk', 'of', 'spirals']] | [-0.1264558666458115, 0.13546655943515007, -0.06170650269188804, 0.10441805508552778, -0.056373214394581025, -0.06997071919258593, 0.013948410018290416, 0.3830800733710753, -0.18479874253943107, -0.2983697172277039, 0.046558625277745104, -0.2985686552313315, -0.016054140812740092, 0.13748783004759788, 0.03305499803699848, -0.013875445317286747, 0.03376646591464012, -0.080986978926287, -0.012060084767787286, -0.25987144134563916, 0.3141048840707077, 0.08815189607572038, 0.09796610081933223, 0.001188070960513248, 0.057106744461102275, -0.1411142958647649, -0.09307383431125966, -0.04123718601015464, -0.13936967232496877, 0.06919576810025496, 0.2227318465607468, 0.09267560663496757, 0.23940243382466866, -0.42137426133381156, -0.23446616966549944, 0.10538245318457484, 0.23080599581164013, 0.04891495571880624, -0.07835067011538052, -0.2755562823845028, 0.041179789897486024, -0.1934421033308864, -0.21138625510218667, 0.07417387191615091, 0.10840576320954758, -0.013072144164187015, -0.18036569213699094, 0.1529661922420307, 0.07493301543759227, 0.09030629882571946, -0.1002519404119528, -0.11974784714544601, -0.05752100043918756, 0.007251775898777585, 0.0631467727085337, 0.07525401344812452, 0.27330975426735765, -0.1528896604744127, -0.017137367264140488, 0.4243167505894856, -0.059260651532141065, -0.02481600126427621, 0.31508710343822294, -0.21511635275574673, -0.1803207121045533, 0.20772835987097607, 0.10778344456651588, 0.08767435725539832, -0.1446814026183835, 0.015508031822874484, -0.10198679416463143, 0.16472876011450752, 0.08347443812498369, 0.07317768433628172, 0.38595594910950193, 0.11969966768562544, 0.030906322436327707, 0.11021795759485785, -0.18178272131644474, -0.09615142992697656, -0.17076520462486347, -0.1364338787545155, -0.17542793053747496, 0.05833274416949191, -0.03381348314662052, -0.10540693056082534, 0.2649068166654438, 0.09641413733351795, 0.2537207968317245, -0.02686080169614132, 0.3427867014245016, 0.04070818410311803, 0.12434159708493275, 0.11329882225112581, 0.30571695164973967, 0.16671583838704065, 0.07657177903030704, -0.20698527815870987, 0.11604249359693423, -0.04535157258179402] |
710.0669 | Gauge fixing methods and Gribov copies effects in lattice QCD | We compare two Landau gauge fixing methods, aiming to find the global maximum
of the gauge fixing functional. Moreover, a systematic effect of Gribov copies
in the gluon and ghost propagators computed in Landau gauge is presented and
discussed.
| hep-lat | we compare two landau gauge fixing methods aiming to find the global maximum of the gauge fixing functional moreover a systematic effect of gribov copies in the gluon and ghost propagators computed in landau gauge is presented and discussed | [['we', 'compare', 'two', 'landau', 'gauge', 'fixing', 'methods', 'aiming', 'to', 'find', 'the', 'global', 'maximum', 'of', 'the', 'gauge', 'fixing', 'functional', 'moreover', 'a', 'systematic', 'effect', 'of', 'gribov', 'copies', 'in', 'the', 'gluon', 'and', 'ghost', 'propagators', 'computed', 'in', 'landau', 'gauge', 'is', 'presented', 'and', 'discussed']] | [-0.15381253806826395, 0.22196362301325187, -0.13144695171369955, 0.14517016429752588, -0.07819716895046906, -0.07363233413212956, 0.07358363621796553, 0.35474160724343395, -0.1466920221081147, -0.27427317842076987, -0.001253486533338825, -0.22056985309777352, -0.12360505196146476, 0.006396923596278215, -0.03996095832628317, 0.09268217930235924, 0.03750873681826469, 0.03265254223384918, -0.08015448356477115, -0.31324988259718967, 0.3551912301052839, 0.014457848209601182, 0.2588488745192687, 0.12161298954668336, 0.1420881666529637, 0.06835431160214238, -0.13393990881741047, 0.02688774039061406, -0.14565994573804814, -0.001177710767548818, 0.204693590123684, 0.028613580032609977, 0.2284134558091561, -0.39471581888695556, -0.16844807541332182, 0.016136468686641026, 0.1600537884544629, 0.14808847549825144, -0.003755149562867024, -0.276511917105661, 0.054773105594974295, -0.15750620139237398, -0.11534641599222922, -0.10500244841648218, -0.11158115779742217, -0.13242617803506362, -0.2771778038153664, 0.09194651727254192, -0.1159951525907486, 0.05656872945240675, -0.06508829537779093, -0.17378396273423463, -0.10289520595986874, 0.06655550570203325, 0.18835304762857655, 0.09449701165207304, 0.11180118697050673, -0.23821845550376636, -0.15675528228091887, 0.432829367235685, -0.06489326843084434, -0.2621474986752638, 0.14898132531641003, -0.15263775561769038, -0.21022926579014614, 0.09793012820852873, 0.043725465543759175, 0.10553715583414604, -0.1769420894770286, 0.20450601669159743, 0.012060656642111449, 0.09698433637356338, 0.1371335392483534, 0.0361944908897082, 0.12038445257796691, 0.05507740620762492, 0.03779753987701275, 0.1749671245805728, -0.03278097295566486, -0.10646479318921383, -0.4230584383775026, -0.10940377041697502, -0.11828341743407342, 0.02488864252033333, -0.10736842914290416, -0.16078651252274329, 0.4214970680574576, 0.1721103474115714, 0.12882372151272228, 0.009908312489875616, 0.24255218929969347, 0.16938270666660407, 0.10060334363235877, 0.0035372540617409423, 0.2321847409535295, 0.18410224462739933, 0.005467667889136534, -0.3684658784634219, -0.18747166224206105, 0.15800665337472963] |
710.067 | Evolution of Schrodinger Uncertainty Relation in Quantum Mechanics | In the present article, we discuss one of the basic relations of Quantum
Mechanics - the Uncertainty Relation (UR). In 1930, few years after Heisenberg,
Erwin Schrodinger generalized the famous Uncertainty Relation in Quantum
Mechanics, making it more precise than the original. The present study
discusses recent generalizations of Schrodinger's work and explains why his
paper remains almost forgotten in the last century.
| quant-ph | in the present article we discuss one of the basic relations of quantum mechanics the uncertainty relation ur in 1930 few years after heisenberg erwin schrodinger generalized the famous uncertainty relation in quantum mechanics making it more precise than the original the present study discusses recent generalizations of schrodingers work and explains why his paper remains almost forgotten in the last century | [['in', 'the', 'present', 'article', 'we', 'discuss', 'one', 'of', 'the', 'basic', 'relations', 'of', 'quantum', 'mechanics', 'the', 'uncertainty', 'relation', 'ur', 'in', '1930', 'few', 'years', 'after', 'heisenberg', 'erwin', 'schrodinger', 'generalized', 'the', 'famous', 'uncertainty', 'relation', 'in', 'quantum', 'mechanics', 'making', 'it', 'more', 'precise', 'than', 'the', 'original', 'the', 'present', 'study', 'discusses', 'recent', 'generalizations', 'of', 'schrodingers', 'work', 'and', 'explains', 'why', 'his', 'paper', 'remains', 'almost', 'forgotten', 'in', 'the', 'last', 'century']] | [-0.08342452280245902, 0.09732379713997004, -0.08679462039858223, 0.13615664302168654, -0.1043663864594794, -0.13451854142570688, 0.014289516296553156, 0.2918670069005701, -0.26757288251012085, -0.28836077028104373, 0.0785591525603987, -0.29983587124414984, -0.20919129567881745, 0.2033550193563344, -0.16784643625179607, 0.04953425491769468, 0.06550656515924681, 0.06478085264848966, -0.13682556732918225, -0.294506408694771, 0.3100911637978448, 0.06190728985201267, 0.2494955573995192, 0.017466266586956, 0.08416064371985774, 0.0884093439747249, -0.06301425124007848, -0.06070486491455907, -0.17953608940625865, 0.1788750845364355, 0.2107595093130517, 0.1388482521738737, 0.3390684485315315, -0.4460015815397304, -0.1939767791979736, 0.06715355522840494, 0.12662385617412866, 0.13803789706763647, 0.02011722509797114, -0.2764776051344891, -0.04712078854208812, -0.19360964507946082, -0.19739524254034604, -0.006543105620244938, 0.11552895661143045, -0.09189183065562599, -0.006160852568779861, 0.18818812748237002, 0.114276759101138, 0.08644524601949079, -0.0009158552594242558, -0.12099324279434738, 0.11831639196363188, 0.09307191261060295, 0.04659138475694964, 0.0019457296641062825, 0.03169381110027673, -0.09072158057543059, -0.14874506280982808, 0.4369725190523651, 0.03234725115297835, -0.07300087198194477, 0.08822492649027656, -0.16162024121431093, -0.1916013721155093, -0.05034169483359062, 0.06603014591570583, 0.06167508596028652, -0.19924158543618697, 0.10042265859609019, -0.06711659729180317, 0.12257270989357494, 0.1202994947501969, 0.03316745274670182, 0.18342389553905494, 0.14829250815936604, -0.01332143307738607, 0.103998999276589, 0.027956472041325703, -0.21733157333707617, -0.3193422890899162, -0.2327070613241484, -0.14584686960874788, 0.12076518218964338, 0.019115476816706736, -0.08828575079960208, 0.3871350628474066, 0.21453072088620356, 0.1338319600740027, 0.04810331154975199, 0.2374666751392426, 0.12154702421638273, -0.02220741188202444, 0.047513578856934705, 0.33181326899437175, 0.22283918837145453, 0.17874993116504723, -0.1318276881901247, 0.027294510654399112, 0.10384172285182192] |
710.0671 | The Cosmos in Your Pocket: How Cosmological Science Became Earth
Technology. I | Astronomy provides a laboratory for extreme physics, a window into
environments at extremes of distance, temperature and density that often can't
be reproduced in Earth laboratories, or at least not right away. A surprising
amount of the science we understand today started out as solutions to problems
in astronomy. Some of this science was key in the development of many
technologies which we enjoy today. This paper describes some of these
connections between astronomy and technology and their history.
| physics.pop-ph astro-ph | astronomy provides a laboratory for extreme physics a window into environments at extremes of distance temperature and density that often cant be reproduced in earth laboratories or at least not right away a surprising amount of the science we understand today started out as solutions to problems in astronomy some of this science was key in the development of many technologies which we enjoy today this paper describes some of these connections between astronomy and technology and their history | [['astronomy', 'provides', 'a', 'laboratory', 'for', 'extreme', 'physics', 'a', 'window', 'into', 'environments', 'at', 'extremes', 'of', 'distance', 'temperature', 'and', 'density', 'that', 'often', 'cant', 'be', 'reproduced', 'in', 'earth', 'laboratories', 'or', 'at', 'least', 'not', 'right', 'away', 'a', 'surprising', 'amount', 'of', 'the', 'science', 'we', 'understand', 'today', 'started', 'out', 'as', 'solutions', 'to', 'problems', 'in', 'astronomy', 'some', 'of', 'this', 'science', 'was', 'key', 'in', 'the', 'development', 'of', 'many', 'technologies', 'which', 'we', 'enjoy', 'today', 'this', 'paper', 'describes', 'some', 'of', 'these', 'connections', 'between', 'astronomy', 'and', 'technology', 'and', 'their', 'history']] | [-0.07502245504550542, 0.13096035638222872, -0.12625090957654617, 0.07979932487198105, -0.08031400422789628, -0.09790906717387747, 0.028535504779731265, 0.37230707120291795, -0.2759524611402539, -0.36726690056627687, 0.15497412749630976, -0.28978314432256586, -0.12903863714147312, 0.24542406995049854, -0.06252943086614714, -0.006739703018831302, 0.031096298993223265, 0.015371261730412894, -0.05439575330672573, -0.2285701229673209, 0.23289449982156482, 0.12856511395613227, 0.2503130515047078, 0.06515176787585995, 0.07634415105574682, -0.06448575667152771, -0.04596620718535932, -0.02446723101908176, -0.1118663473183155, 0.10027310499166951, 0.3737768081453028, 0.2160473297102542, 0.3636023378105763, -0.4550510940106609, -0.2102031859722507, 0.09644728206109869, 0.15315156112884795, 0.049089713539350543, -0.09200062292121068, -0.25090937883463466, 0.004815631434085626, -0.14403380154148687, -0.1775437695014031, -0.007958521966268367, 0.03602339548966552, 0.0018161340628432322, -0.16758998603076686, 0.01914771937446881, 0.007083786745803265, 0.0744607135641707, -0.01631354316597498, -0.12402770891667733, 0.0578891338155711, 0.16705513019645232, 0.0492492177681349, 0.032567824378515346, 0.082337811536191, -0.1951320989918011, -0.06640833813720677, 0.40286360744717, -3.662726936178117e-05, -0.07043981785544112, 0.27740937893726875, -0.21489929168520472, -0.1826318914094303, 0.030993420772160156, 0.20828747303119, 0.0749105409058872, -0.18018693626634305, 0.09639373147945639, 0.029484139076033252, 0.14429082780416252, 0.09822215794149457, 0.05816981914936553, 0.3286501064165672, 0.16889175219767832, 0.05536880835086178, 0.04954527900701601, -0.036774315944978896, -0.10585693644854842, -0.28642802284676816, -0.17117431545276432, -0.16613908105859934, 0.05602349002316559, -0.005283479601818231, -0.12921845552165584, 0.36433780926598025, 0.2026100988983165, 0.13429996862866078, -0.04189552169711671, 0.26935256324425527, 0.009104780450498662, 0.07635598757917274, 0.08010402574097808, 0.24705762318055488, 0.08545825116430657, 0.17869359906762838, -0.09078754815921376, 0.08943585436083848, -0.018561307514746543] |
710.0672 | Optimization of supply diversity for the self-assembly of simple objects
in two and three dimensions | The field of algorithmic self-assembly is concerned with the design and
analysis of self-assembly systems from a computational perspective, that is,
from the perspective of mathematical problems whose study may give insight into
the natural processes through which elementary objects self-assemble into more
complex ones. One of the main problems of algorithmic self-assembly is the
minimum tile set problem (MTSP), which asks for a collection of types of
elementary objects (called tiles) to be found for the self-assembly of an
object having a pre-established shape. Such a collection is to be as concise as
possible, thus minimizing supply diversity, while satisfying a set of stringent
constraints having to do with the termination and other properties of the
self-assembly process from its tile types. We present a study of what we think
is the first practical approach to MTSP. Our study starts with the introduction
of an evolutionary heuristic to tackle MTSP and includes results from extensive
experimentation with the heuristic on the self-assembly of simple objects in
two and three dimensions. The heuristic we introduce combines classic elements
from the field of evolutionary computation with a problem-specific variant of
Pareto dominance into a multi-objective approach to MTSP.
| cs.NE | the field of algorithmic selfassembly is concerned with the design and analysis of selfassembly systems from a computational perspective that is from the perspective of mathematical problems whose study may give insight into the natural processes through which elementary objects selfassemble into more complex ones one of the main problems of algorithmic selfassembly is the minimum tile set problem mtsp which asks for a collection of types of elementary objects called tiles to be found for the selfassembly of an object having a preestablished shape such a collection is to be as concise as possible thus minimizing supply diversity while satisfying a set of stringent constraints having to do with the termination and other properties of the selfassembly process from its tile types we present a study of what we think is the first practical approach to mtsp our study starts with the introduction of an evolutionary heuristic to tackle mtsp and includes results from extensive experimentation with the heuristic on the selfassembly of simple objects in two and three dimensions the heuristic we introduce combines classic elements from the field of evolutionary computation with a problemspecific variant of pareto dominance into a multiobjective approach to mtsp | [['the', 'field', 'of', 'algorithmic', 'selfassembly', 'is', 'concerned', 'with', 'the', 'design', 'and', 'analysis', 'of', 'selfassembly', 'systems', 'from', 'a', 'computational', 'perspective', 'that', 'is', 'from', 'the', 'perspective', 'of', 'mathematical', 'problems', 'whose', 'study', 'may', 'give', 'insight', 'into', 'the', 'natural', 'processes', 'through', 'which', 'elementary', 'objects', 'selfassemble', 'into', 'more', 'complex', 'ones', 'one', 'of', 'the', 'main', 'problems', 'of', 'algorithmic', 'selfassembly', 'is', 'the', 'minimum', 'tile', 'set', 'problem', 'mtsp', 'which', 'asks', 'for', 'a', 'collection', 'of', 'types', 'of', 'elementary', 'objects', 'called', 'tiles', 'to', 'be', 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710.0673 | Phase diagram of the one-dimensional half-filled extended Hubbard model | We study the ground state of the one-dimensional half-filled Hubbard model
with on-site (nearest-neighbor) repulsive interaction $U$ ($V$) and
nearest-neighbor hopping $t$. In order to obtain an accurate phase diagram, we
consider various physical quantities such as the charge gap, spin gap,
Luttinger-liquid exponents, and bond-order-wave (BOW) order parameter using the
density-matrix renormalization group technique. We confirm that the BOW phase
appears in a substantial region between the charge-density-wave (CDW) and
spin-density-wave phases. Each phase boundary is determined by multiple means
and it allows us to do a cross-check to demonstrate the validity of our
estimations. Thus, our results agree quantitatively with the renormalization
group results in the weak-coupling regime ($U \lesssim 2t$), with the
perturbation results in the strong-coupling regime ($U \gtrsim 6t$), and with
the quantum Monte Carlo results in the intermediate-coupling regime. We also
find that the BOW-CDW transition changes from continuous to first order at the
tricritical point $(U_{\rm t}, V_{\rm t}) \approx (5.89t, 3.10t)$ and the BOW
phase vanishes at the critical end point $(U_{\rm c}, V_{\rm c}) \approx
(9.25t, 4.76t)$.
| cond-mat.str-el | we study the ground state of the onedimensional halffilled hubbard model with onsite nearestneighbor repulsive interaction u v and nearestneighbor hopping t in order to obtain an accurate phase diagram we consider various physical quantities such as the charge gap spin gap luttingerliquid exponents and bondorderwave bow order parameter using the densitymatrix renormalization group technique we confirm that the bow phase appears in a substantial region between the chargedensitywave cdw and spindensitywave phases each phase boundary is determined by multiple means and it allows us to do a crosscheck to demonstrate the validity of our estimations thus our results agree quantitatively with the renormalization group results in the weakcoupling regime u lesssim 2t with the perturbation results in the strongcoupling regime u gtrsim 6t and with the quantum monte carlo results in the intermediatecoupling regime we also find that the bowcdw transition changes from continuous to first order at the tricritical point u_rm t v_rm t approx 589t 310t and the bow phase vanishes at the critical end point u_rm c v_rm c approx 925t 476t | [['we', 'study', 'the', 'ground', 'state', 'of', 'the', 'onedimensional', 'halffilled', 'hubbard', 'model', 'with', 'onsite', 'nearestneighbor', 'repulsive', 'interaction', 'u', 'v', 'and', 'nearestneighbor', 'hopping', 't', 'in', 'order', 'to', 'obtain', 'an', 'accurate', 'phase', 'diagram', 'we', 'consider', 'various', 'physical', 'quantities', 'such', 'as', 'the', 'charge', 'gap', 'spin', 'gap', 'luttingerliquid', 'exponents', 'and', 'bondorderwave', 'bow', 'order', 'parameter', 'using', 'the', 'densitymatrix', 'renormalization', 'group', 'technique', 'we', 'confirm', 'that', 'the', 'bow', 'phase', 'appears', 'in', 'a', 'substantial', 'region', 'between', 'the', 'chargedensitywave', 'cdw', 'and', 'spindensitywave', 'phases', 'each', 'phase', 'boundary', 'is', 'determined', 'by', 'multiple', 'means', 'and', 'it', 'allows', 'us', 'to', 'do', 'a', 'crosscheck', 'to', 'demonstrate', 'the', 'validity', 'of', 'our', 'estimations', 'thus', 'our', 'results', 'agree', 'quantitatively', 'with', 'the', 'renormalization', 'group', 'results', 'in', 'the', 'weakcoupling', 'regime', 'u', 'lesssim', '2t', 'with', 'the', 'perturbation', 'results', 'in', 'the', 'strongcoupling', 'regime', 'u', 'gtrsim', '6t', 'and', 'with', 'the', 'quantum', 'monte', 'carlo', 'results', 'in', 'the', 'intermediatecoupling', 'regime', 'we', 'also', 'find', 'that', 'the', 'bowcdw', 'transition', 'changes', 'from', 'continuous', 'to', 'first', 'order', 'at', 'the', 'tricritical', 'point', 'u_rm', 't', 'v_rm', 't', 'approx', '589t', '310t', 'and', 'the', 'bow', 'phase', 'vanishes', 'at', 'the', 'critical', 'end', 'point', 'u_rm', 'c', 'v_rm', 'c', 'approx', '925t', '476t']] | [-0.17046628482330028, 0.1954820143809979, -0.043995402619918016, 0.039134311139153326, -0.0341296130280713, -0.14977949750419076, 0.14647778081680424, 0.3827981970127269, -0.26359705755497975, -0.24669742095964955, 0.009212606272671089, -0.3412685761928908, -0.10202392807900253, 0.12412662729443928, 0.09218925793845158, 0.014379459139155714, -0.012019535434045638, -0.0036203702285406533, -0.17125871597533252, -0.18247125248359353, 0.2847874795484264, -0.022555912063969025, 0.24938743993672624, 0.10003649022658928, 0.012781998793436595, -0.00038914451626134895, 0.10964746934182026, -0.0029389342233233635, -0.21818423380693, -0.04016912073928867, 0.24278296961766335, -0.08559362163592936, 0.2153205665247787, -0.37292810390044373, -0.20997117258259776, 0.041044455995151434, 0.16526774676075498, 0.11732867295303714, 0.006808242139716943, -0.3333711382335226, 0.046125691062403155, -0.2281002343471614, -0.16305039358755563, -0.10307878159146214, 0.0015456000593496344, -0.009609914800065041, -0.30961763342210685, 0.1366094033142255, 0.004227490273946951, 0.03954414785322216, -0.0433614816688878, -0.10076247974249877, -0.05415692049751265, 0.0974841396003003, 0.04134133077507065, 0.14510997104709042, 0.08683449469305227, -0.13095108781701598, -0.06304952415926328, 0.3751275994057892, -0.09898817860480529, -0.06590289429523873, 0.20921926130949145, -0.22075427225962818, -0.09409711703287753, 0.14449683143890038, 0.05180177831891598, 0.07865553841809061, -0.08266276860206623, 0.12735104909485304, 0.012896176783656647, 0.194202002704488, -0.025069572448312462, -0.0013615344024715367, 0.17468900674659954, 0.13537989358542957, 0.05445942140118987, 0.10146239685297709, -0.13962941121293657, -0.12626050352881396, -0.3204873100509295, -0.10152036630286773, -0.2002208746087394, -0.010117708223365378, -0.15654226862679083, -0.1389599946104208, 0.3710056013367765, 0.2350501962590211, 0.22362323099344272, 0.019841951851825617, 0.20022053548546062, 0.14761640888853925, 0.004181455049462268, 0.11763517869424009, 0.21929660525679456, 0.13901410531116465, 0.09470928544369227, -0.2929664544634554, 0.007075444119846263, 0.12825537678290005] |
710.0674 | New phases of finite temperature gauge theory from an extended action | We study the behavior of the order parameter, the phase diagram, and the
thermodynamics of exotic phases of finite temperature gauge theory. Lattice
simulations were performed in SU(3) and SU(4) with an adjoint Polyakov loop
term added to the standard Wilson action. In SU(3), the pattern of Z(3)
symmetry breaking in the new phase is distinct from the pattern observed in the
deconfined phase. In SU(4), the Z(4) symmetry is spontaneously broken down to
Z(2), representing a partially-confined phase. The existence of the new phases
is confirmed in analytical calculations of the free energy based on
high-temperature perturbation theory.
| hep-lat | we study the behavior of the order parameter the phase diagram and the thermodynamics of exotic phases of finite temperature gauge theory lattice simulations were performed in su3 and su4 with an adjoint polyakov loop term added to the standard wilson action in su3 the pattern of z3 symmetry breaking in the new phase is distinct from the pattern observed in the deconfined phase in su4 the z4 symmetry is spontaneously broken down to z2 representing a partiallyconfined phase the existence of the new phases is confirmed in analytical calculations of the free energy based on hightemperature perturbation theory | [['we', 'study', 'the', 'behavior', 'of', 'the', 'order', 'parameter', 'the', 'phase', 'diagram', 'and', 'the', 'thermodynamics', 'of', 'exotic', 'phases', 'of', 'finite', 'temperature', 'gauge', 'theory', 'lattice', 'simulations', 'were', 'performed', 'in', 'su3', 'and', 'su4', 'with', 'an', 'adjoint', 'polyakov', 'loop', 'term', 'added', 'to', 'the', 'standard', 'wilson', 'action', 'in', 'su3', 'the', 'pattern', 'of', 'z3', 'symmetry', 'breaking', 'in', 'the', 'new', 'phase', 'is', 'distinct', 'from', 'the', 'pattern', 'observed', 'in', 'the', 'deconfined', 'phase', 'in', 'su4', 'the', 'z4', 'symmetry', 'is', 'spontaneously', 'broken', 'down', 'to', 'z2', 'representing', 'a', 'partiallyconfined', 'phase', 'the', 'existence', 'of', 'the', 'new', 'phases', 'is', 'confirmed', 'in', 'analytical', 'calculations', 'of', 'the', 'free', 'energy', 'based', 'on', 'hightemperature', 'perturbation', 'theory']] | [-0.17963550360685196, 0.2611181240805455, -0.14008018909247988, 0.05999118721728787, -0.046382828201684684, -0.08878915478014435, 0.08426731362741327, 0.36026659250409915, -0.18267270293312543, -0.24377765643382163, 0.0883711112164563, -0.2893165782696069, -0.09997420928751428, 0.020972069435179083, 0.04474852667801609, 0.04064213658560707, -0.10631344458934935, 0.055050038478591225, -0.154391585896262, -0.21343366976714495, 0.2870476541528008, -0.030101990712938283, 0.30692968789412817, 0.04772334257987412, 0.036010686702076154, -0.055277634837730516, 0.021238094289796523, -0.029947912612120913, -0.1249382005853936, 0.0031448466070654866, 0.18257762839773087, -0.041642666469807875, 0.09159791644549731, -0.42827220326948046, -0.21946794998766195, 0.07428805788771974, 0.13390274736277682, 0.15175449069250713, -0.08671648893152561, -0.32295117886605285, 0.057265506450538385, -0.16949371470495908, -0.21072787643443192, -0.08713994260802112, -0.057913728594554195, -0.1100699575194581, -0.2268131383685301, 0.12589914535144062, -0.009251597995935666, 0.11780256401408508, -0.038251358695855046, -0.07292122660073067, -0.11089663103109959, 0.10121776849487703, 0.10985722737339786, 0.07583700092462352, 0.06953135989559343, -0.1934995646353322, -0.13452745285449605, 0.4463566280901432, -0.054167071543163574, -0.08336056017251027, 0.13698215065571018, -0.17317955668649937, -0.18764615355228836, 0.16878645474729398, 0.0993856599535605, 0.099286393878624, -0.11353501587203055, 0.15533514595425904, -0.008472737602212212, 0.1907191796397621, -0.008081304737263255, -0.006229427539640003, 0.23407992549391107, 0.15947291431619287, -0.0069925055904972435, 0.15274336530516544, -0.019726119067689233, -0.21723750190376634, -0.3605408913107834, -0.10756087929687717, -0.1589993347479689, 0.04265789264775436, -0.146368550973641, -0.15980519532611726, 0.43016725069269385, 0.12613768656173666, 0.17028006040632274, -0.02155226203989275, 0.21735960128952306, 0.1240460466913352, 0.07111386422096103, -0.012799705112955034, 0.23421820977495778, 0.18128047733346583, 0.06757949925770965, -0.3350727190898562, -0.0808667584200098, 0.18070937620682848] |
710.0675 | Finding pulsars with LOFAR | We investigate the number and type of pulsars that will be discovered with
the low-frequency radio telescope LOFAR. We consider different search
strategies for the Galaxy, for globular clusters and for galaxies other than
our own. We show an all-sky Galactic survey can be optimally carried out by
incoherently combining the LOFAR stations. In a 60-day all-sky Galactic survey
LOFAR can find over a thousand pulsars, probing the local pulsar population to
a very deep luminosity limit. For targets of smaller angular size, globular
clusters and galaxies, the LOFAR stations can be combined coherently, making
use of the full sensitivity. Searches of nearby northern-sky globular clusters
can find large numbers of low luminosity millisecond pulsars (eg. over 10 new
millisecond pulsars in a 10-hour observation of M15). If the pulsar population
in nearby galaxies is similar to that of the Milky Way, a 10-hour observation
could find the 10 brightest pulsars in M33, or pulsars in other galaxies out to
a distance of 1.2Mpc.
| astro-ph | we investigate the number and type of pulsars that will be discovered with the lowfrequency radio telescope lofar we consider different search strategies for the galaxy for globular clusters and for galaxies other than our own we show an allsky galactic survey can be optimally carried out by incoherently combining the lofar stations in a 60day allsky galactic survey lofar can find over a thousand pulsars probing the local pulsar population to a very deep luminosity limit for targets of smaller angular size globular clusters and galaxies the lofar stations can be combined coherently making use of the full sensitivity searches of nearby northernsky globular clusters can find large numbers of low luminosity millisecond pulsars eg over 10 new millisecond pulsars in a 10hour observation of m15 if the pulsar population in nearby galaxies is similar to that of the milky way a 10hour observation could find the 10 brightest pulsars in m33 or pulsars in other galaxies out to a distance of 12mpc | [['we', 'investigate', 'the', 'number', 'and', 'type', 'of', 'pulsars', 'that', 'will', 'be', 'discovered', 'with', 'the', 'lowfrequency', 'radio', 'telescope', 'lofar', 'we', 'consider', 'different', 'search', 'strategies', 'for', 'the', 'galaxy', 'for', 'globular', 'clusters', 'and', 'for', 'galaxies', 'other', 'than', 'our', 'own', 'we', 'show', 'an', 'allsky', 'galactic', 'survey', 'can', 'be', 'optimally', 'carried', 'out', 'by', 'incoherently', 'combining', 'the', 'lofar', 'stations', 'in', 'a', '60day', 'allsky', 'galactic', 'survey', 'lofar', 'can', 'find', 'over', 'a', 'thousand', 'pulsars', 'probing', 'the', 'local', 'pulsar', 'population', 'to', 'a', 'very', 'deep', 'luminosity', 'limit', 'for', 'targets', 'of', 'smaller', 'angular', 'size', 'globular', 'clusters', 'and', 'galaxies', 'the', 'lofar', 'stations', 'can', 'be', 'combined', 'coherently', 'making', 'use', 'of', 'the', 'full', 'sensitivity', 'searches', 'of', 'nearby', 'northernsky', 'globular', 'clusters', 'can', 'find', 'large', 'numbers', 'of', 'low', 'luminosity', 'millisecond', 'pulsars', 'eg', 'over', '10', 'new', 'millisecond', 'pulsars', 'in', 'a', '10hour', 'observation', 'of', 'm15', 'if', 'the', 'pulsar', 'population', 'in', 'nearby', 'galaxies', 'is', 'similar', 'to', 'that', 'of', 'the', 'milky', 'way', 'a', '10hour', 'observation', 'could', 'find', 'the', '10', 'brightest', 'pulsars', 'in', 'm33', 'or', 'pulsars', 'in', 'other', 'galaxies', 'out', 'to', 'a', 'distance', 'of', '12mpc']] | [-0.09616294882555561, 0.13579206824348458, -0.05991715874534282, 0.1447179634386685, -0.1860621518586058, -0.02266729841712953, 0.10154624391778759, 0.42436399994554314, -0.17006658495789984, -0.3563130368683033, 0.03804208725767506, -0.3195526133654866, -0.0069444177504742475, 0.2896087450492082, -0.0027811214208557475, -0.08695738427568137, 0.11224564216766938, -0.0965713621912206, -0.012890107677000143, -0.28833047414135343, 0.20587745298938145, 0.09386259077025276, 0.13698182664470884, -0.14850882648081495, 0.10988467994356164, -0.10333751598032327, -0.07443298267842294, -0.01676280252499188, -0.08604594935542725, 0.01031070032047687, 0.3346949040140139, 0.16776269934815924, 0.20177782739217326, -0.3763500317709702, -0.1907120275349504, 0.12631643224200914, 0.25341567381953456, 0.029542535912563523, -0.048485390871774586, -0.33697598933656814, 0.10034494709774353, -0.2409107834668603, -0.2279977204488227, 0.04082340346762865, 0.029175307320589882, 0.13509785811553096, -0.16020181315394527, 0.0818714536385747, -0.02030178014098144, 0.06774361056230235, -0.11922166761998995, -0.12280076635694813, 0.057329740623017864, 0.06773106734092324, -0.0009334022115359492, 0.06772197371280593, 0.16247189992920938, -0.13887954366864727, -0.0630724523074516, 0.3716089277579335, -0.05470766271253347, 0.03751451337125107, 0.1882171989787688, -0.25131169781827073, -0.24774469692464463, 0.05838316496853467, 0.18556458913016974, 0.10292652961883195, -0.21693299508585437, 0.025042262002676667, -0.04537133544274583, 0.2599022985725641, 0.061119511820057905, 0.07162250178909034, 0.37294177712713616, 0.14092175292331022, 0.1589337238110602, 0.13292036427429127, -0.32683965782691704, 0.017815691421785188, -0.15252954201636518, -0.05553219411536347, -0.1449149343080069, 0.15247368309419693, -0.12494267371354309, -0.06384901604444788, 0.36119314111065026, 0.09522046134863957, 0.155035903400503, 0.08179957639261308, 0.3005149023289361, 0.038716810651083775, 0.1427669798310778, 0.11543531304725059, 0.3087759674413175, 0.11830300769751619, 0.05590254915509055, -0.1995088854583162, 0.024992065197538313, -0.07226482805477955] |
710.0676 | Remarks on the symmetric powers of cusp forms on GL(2) | In this paper we prove the following conditional result: Let F be a number
field, and pi a cusp form on GL(2)/F which is not solvable polyhedral. Assume
that all the symmetric powers sym^m(pi) are modular, i.e., define automorphic
forms on GL(m+1)/F. If sym^6(pi) is cuspidal, then all the symmetric powers are
cuspidal, for all m. Moreover, sym^6(pi) is Eisenteinian iff sym^5(pi) is an
abelian twist of the functorial product of pi with the symmetric square of a
cusp form pi' on GL(2)/F.
| math.NT math.RT | in this paper we prove the following conditional result let f be a number field and pi a cusp form on gl2f which is not solvable polyhedral assume that all the symmetric powers symmpi are modular ie define automorphic forms on glm1f if sym6pi is cuspidal then all the symmetric powers are cuspidal for all m moreover sym6pi is eisenteinian iff sym5pi is an abelian twist of the functorial product of pi with the symmetric square of a cusp form pi on gl2f | [['in', 'this', 'paper', 'we', 'prove', 'the', 'following', 'conditional', 'result', 'let', 'f', 'be', 'a', 'number', 'field', 'and', 'pi', 'a', 'cusp', 'form', 'on', 'gl2f', 'which', 'is', 'not', 'solvable', 'polyhedral', 'assume', 'that', 'all', 'the', 'symmetric', 'powers', 'symmpi', 'are', 'modular', 'ie', 'define', 'automorphic', 'forms', 'on', 'glm1f', 'if', 'sym6pi', 'is', 'cuspidal', 'then', 'all', 'the', 'symmetric', 'powers', 'are', 'cuspidal', 'for', 'all', 'm', 'moreover', 'sym6pi', 'is', 'eisenteinian', 'iff', 'sym5pi', 'is', 'an', 'abelian', 'twist', 'of', 'the', 'functorial', 'product', 'of', 'pi', 'with', 'the', 'symmetric', 'square', 'of', 'a', 'cusp', 'form', 'pi', 'on', 'gl2f']] | [-0.22342460745244058, 0.1472630386874639, -0.1281508741682613, -0.00011856954502449794, -0.13451435942468898, -0.12467826932499354, -0.0747412212008562, 0.3250828783039923, -0.301564979475814, -0.14251219748531457, 0.06907366236593188, -0.2611421174067375, -0.1853282761264157, 0.19403790038490257, -0.05730903461970867, -0.05119568295172089, 0.0009915133176202123, 0.20690868115173533, -0.09952002711134492, -0.26466116899406755, 0.4385729647398769, -0.10029283190121899, 0.18615025610892805, 0.035975794274626036, 0.050959361079088474, 0.035855529968953366, 0.03751155853198914, -0.07485098637604191, -0.11602689391472634, 0.11328970738868048, 0.29580993190794796, 0.05491158972470114, 0.2124408722595106, -0.3874907990941754, -0.05776999124844389, 0.25391150372973703, 0.11963202875688092, -0.06269101059070317, 0.02104801696561906, -0.24079819122184212, 0.17912089952884555, -0.18786807503406103, -0.12254403547274989, -0.09059514979644401, 0.09527549934543234, -0.004793425332512948, -0.3239051216862515, -0.01866481425361587, 0.11261387618089264, 0.10312794968605839, -0.0483220807131525, -0.14199017779901624, -0.04585625185304648, 0.04278009076445521, -0.02059372698331808, 0.09724641197615048, 0.0636717366030464, -0.09331719824959608, -0.0734990670394104, 0.35344927137499893, -0.03793527749548485, -0.2652616933617112, 0.05269886403308286, -0.20340936880123306, -0.1439863026577544, 0.1476227981703622, 0.0929026720507143, 0.13911519751146242, -0.029076072121305124, 0.22260696254595025, -0.19466574780352705, 0.10207284356969372, 0.139696802581092, -0.052447685046581094, 0.1698064641670215, 0.021311245671195255, 0.09241633255083065, 0.13204070130913434, 0.00026475273786330376, -0.013602882454341108, -0.38218288201016265, -0.20035849263371489, -0.14557943428267858, 0.1655636566402708, -0.0702374287358978, -0.18640116192158554, 0.38345293663804986, -0.019547340822974584, 0.2131954568571278, 0.18033350652307514, 0.23570240981719615, 0.13508123943170944, 0.04521347087650717, 0.13912680303653727, 0.09319998033030273, 0.19453681035378537, -0.10702689880408443, -0.12258525538052638, 0.027057985454652603, 0.1377426621008229] |
710.0677 | The divided cell algorithm and the inhomogeneous Lagrange and Markoff
spectra | The divided cell algorithm was introduced by Delone in 1947 to calculate the
inhomogeneous minima of binary quadratic forms and developed further by E. S.
Barnes and H. P. F. Swinnerton-Dyer in the 1950s. We show how advances of the
past fifty years in both symbolic computation and our understanding of
homogeneous spectra can be combined to make divided cells more useful for
organizing information about inhomogeneous approximation problems. A crucial
part of our analysis relies on work of Jane Pitman, who related the divided
cell algorithm to the regular continued fraction algorithm. In particular, the
relation to continued fractions allows two divided cells for the same problem
to be compared without stepping through the chain of divided cells connecting
them.
| math.NT | the divided cell algorithm was introduced by delone in 1947 to calculate the inhomogeneous minima of binary quadratic forms and developed further by e s barnes and h p f swinnertondyer in the 1950s we show how advances of the past fifty years in both symbolic computation and our understanding of homogeneous spectra can be combined to make divided cells more useful for organizing information about inhomogeneous approximation problems a crucial part of our analysis relies on work of jane pitman who related the divided cell algorithm to the regular continued fraction algorithm in particular the relation to continued fractions allows two divided cells for the same problem to be compared without stepping through the chain of divided cells connecting them | [['the', 'divided', 'cell', 'algorithm', 'was', 'introduced', 'by', 'delone', 'in', '1947', 'to', 'calculate', 'the', 'inhomogeneous', 'minima', 'of', 'binary', 'quadratic', 'forms', 'and', 'developed', 'further', 'by', 'e', 's', 'barnes', 'and', 'h', 'p', 'f', 'swinnertondyer', 'in', 'the', '1950s', 'we', 'show', 'how', 'advances', 'of', 'the', 'past', 'fifty', 'years', 'in', 'both', 'symbolic', 'computation', 'and', 'our', 'understanding', 'of', 'homogeneous', 'spectra', 'can', 'be', 'combined', 'to', 'make', 'divided', 'cells', 'more', 'useful', 'for', 'organizing', 'information', 'about', 'inhomogeneous', 'approximation', 'problems', 'a', 'crucial', 'part', 'of', 'our', 'analysis', 'relies', 'on', 'work', 'of', 'jane', 'pitman', 'who', 'related', 'the', 'divided', 'cell', 'algorithm', 'to', 'the', 'regular', 'continued', 'fraction', 'algorithm', 'in', 'particular', 'the', 'relation', 'to', 'continued', 'fractions', 'allows', 'two', 'divided', 'cells', 'for', 'the', 'same', 'problem', 'to', 'be', 'compared', 'without', 'stepping', 'through', 'the', 'chain', 'of', 'divided', 'cells', 'connecting', 'them']] | [-0.09474821763848193, 0.08722012828312013, -0.08587858772043847, 0.06518898501007026, -0.04574011051103719, -0.11837818481659224, 0.0976334230489413, 0.31614233298642824, -0.2736113822464793, -0.2959997544049724, 0.07880782537462483, -0.24209159142195827, -0.15632558056761411, 0.23637404029203718, -0.08619750701713622, 0.026259330740152312, 0.05359569426879964, -0.0072329940643808075, -0.01699228181834679, -0.3470117581434825, 0.25237565457220534, 0.042413653309403124, 0.2515777012848965, -0.006337172636562143, 0.06563687698207488, 0.050093244501458835, -0.12748689007414274, 0.03376147729029094, -0.14333185022273523, 0.1698959653279244, 0.2837713463616765, 0.14329456930887724, 0.2929341425842121, -0.46530380999007503, -0.17921749839543805, 0.12391397774927626, 0.19509014402216007, 0.020673597254597945, 0.006085457865601936, -0.2534848449122515, 0.07667658719992311, -0.14433144366999795, -0.11683694497212645, -0.04936860783183408, 0.07301952550187707, 0.02751479013091769, -0.21992055942979832, 0.05433888270612036, 0.08495690694515601, 0.03482935364427399, -0.06423663265458578, -0.14469132920696345, 0.011178011826070195, 0.1633262226612053, 0.02711037186567079, 0.02811841519591822, 0.09579165106589237, -0.0645468148387476, -0.11843097039059666, 0.3613331811117732, -0.029408327648262223, -0.15457969251250434, 0.1486385934408908, -0.16011654888087315, -0.12590414829059574, 0.1400901750480556, 0.174861206911689, 0.09985926057681564, -0.13321347141345916, 0.07011633876505238, -0.023002794999311762, 0.12417115587240839, 0.12985862745356955, -0.06859680910571671, 0.1809926062018018, 0.1281398491672248, 0.01700520392291802, 0.16230052188308217, -0.02807785332427083, -0.11733730341315515, -0.2230511884203119, -0.1904794062480084, -0.1605249723103975, 0.03287658385917052, -0.07076484930842503, -0.10885897272772517, 0.3830681333610834, 0.0831602436944067, 0.20062569931364996, 0.024961559155817367, 0.23589629408795665, 0.09289548561950638, 0.06783506925379441, 0.06456130158063794, 0.15753799907801566, 0.18630399404686282, 0.10939227617134085, -0.216034847831215, 0.052791142770789626, 0.13002215735498845] |
710.0678 | Calculated Momentum Dependence of Zhang-Rice States in Transition Metal
Oxides | Using a combination of local density functional theory and cluster exact
diagonalization based dynamical mean field theory, we calculate many body
electronic structures of several Mott insulating oxides including undoped high
T_{c} materials. The dispersions of the lowest occupied electronic states are
associated with the Zhang-Rice singlets in cuprates and with doublets,
triplets, quadruplets and quintets in more general cases. Our results agree
with angle resolved photoemission experiments including the decrease of the
spectral weight of the Zhang--Rice band as it approaches k=0.
| cond-mat.str-el | using a combination of local density functional theory and cluster exact diagonalization based dynamical mean field theory we calculate many body electronic structures of several mott insulating oxides including undoped high t_c materials the dispersions of the lowest occupied electronic states are associated with the zhangrice singlets in cuprates and with doublets triplets quadruplets and quintets in more general cases our results agree with angle resolved photoemission experiments including the decrease of the spectral weight of the zhangrice band as it approaches k0 | [['using', 'a', 'combination', 'of', 'local', 'density', 'functional', 'theory', 'and', 'cluster', 'exact', 'diagonalization', 'based', 'dynamical', 'mean', 'field', 'theory', 'we', 'calculate', 'many', 'body', 'electronic', 'structures', 'of', 'several', 'mott', 'insulating', 'oxides', 'including', 'undoped', 'high', 't_c', 'materials', 'the', 'dispersions', 'of', 'the', 'lowest', 'occupied', 'electronic', 'states', 'are', 'associated', 'with', 'the', 'zhangrice', 'singlets', 'in', 'cuprates', 'and', 'with', 'doublets', 'triplets', 'quadruplets', 'and', 'quintets', 'in', 'more', 'general', 'cases', 'our', 'results', 'agree', 'with', 'angle', 'resolved', 'photoemission', 'experiments', 'including', 'the', 'decrease', 'of', 'the', 'spectral', 'weight', 'of', 'the', 'zhangrice', 'band', 'as', 'it', 'approaches', 'k0']] | [-0.11688496842798048, 0.1734100288083126, -0.025216069636327856, 0.0885294267391584, -0.003697223557406161, -0.16956662372209086, 0.09425844317111004, 0.3944980550994984, -0.20872300034613314, -0.30876686820109567, -0.0009819594554109387, -0.3779451483299574, -0.1362237269171031, 0.11089109816007788, 0.07117869432297456, 0.03150808617910258, 0.001415504176304283, -0.04492600244211863, -0.18301819829292684, -0.2123160714841818, 0.3028023830581322, -0.006191394723817168, 0.2659788582114929, 0.051879777812892686, 0.01758519768243633, 0.031288040942142166, 0.09240109009769218, 0.01176839468718688, -0.1502999598693372, 0.12786961271335, 0.29247440887805837, -0.058622891111411606, 0.19305114127156964, -0.4354725905121809, -0.20309454921902304, -0.025033648103385805, 0.12278230008893613, 0.1387138820466507, -0.05461932156962225, -0.2900454597772065, 0.030295881599816214, -0.18050697740694754, -0.14646862302514085, -0.13582997402198702, -0.054468018556832816, -0.007884522024766508, -0.21924312105290142, 0.18319186791272676, -0.05673739545963177, 0.10440605289740376, -0.15861638003668513, -0.2202876119030056, -0.11906419477302087, 0.06660695470510478, 0.07675408980393984, 0.02233731070062123, 0.14079950791951942, -0.14606001880019903, -0.14675988163518527, 0.36201066296009055, -0.04184974078509777, -0.06965617654587042, 0.1839815230692277, -0.18633142600946848, -0.13084006385109107, 0.1582609910787229, 0.03251770105639316, 0.12080943711517177, -0.06912883421608124, 0.11400512962515118, -0.0633208054827571, 0.1786790516855846, 0.02203648501771491, 0.15047949417676576, 0.22476001562977052, 0.1387984043054552, 0.030027629900863956, 0.0765724518667368, -0.12061358399546133, -0.09302288392020097, -0.22605062662118888, -0.15230150956026536, -0.22095971129251174, 0.0011477023128178868, -0.07255595820869673, -0.21324496675866195, 0.433571366077087, 0.09182549368433025, 0.19536472041249633, -0.03439553895493947, 0.21766378324344215, 0.11336053770417011, 0.06367836300710059, 0.035011867106140376, 0.2109562108427825, 0.220607759021447, 0.05943342132763152, -0.27399155293333244, 0.006562900809775926, 0.017876466949391795] |
710.0679 | Antisymmetric tensor matter fields in a curved space-time | An analysis about the antisymmetric tensor matter fields Avdeev-Chizhov
theory in a curved space-time is performed. We show, in a curved spacetime,
that the Avdeev-Chizhov theory can be seen as a kind of a $\lambda\phi^{4}$
theory for a "complex self-dual" field. This relationship between
Avdeev-Chizhov theory and $\lambda\phi^{4}$ theory simplify the study of tensor
matter fields in a curved space-time. The energy-momentum tensor for matter
fields is computed.
| hep-th | an analysis about the antisymmetric tensor matter fields avdeevchizhov theory in a curved spacetime is performed we show in a curved spacetime that the avdeevchizhov theory can be seen as a kind of a lambdaphi4 theory for a complex selfdual field this relationship between avdeevchizhov theory and lambdaphi4 theory simplify the study of tensor matter fields in a curved spacetime the energymomentum tensor for matter fields is computed | [['an', 'analysis', 'about', 'the', 'antisymmetric', 'tensor', 'matter', 'fields', 'avdeevchizhov', 'theory', 'in', 'a', 'curved', 'spacetime', 'is', 'performed', 'we', 'show', 'in', 'a', 'curved', 'spacetime', 'that', 'the', 'avdeevchizhov', 'theory', 'can', 'be', 'seen', 'as', 'a', 'kind', 'of', 'a', 'lambdaphi4', 'theory', 'for', 'a', 'complex', 'selfdual', 'field', 'this', 'relationship', 'between', 'avdeevchizhov', 'theory', 'and', 'lambdaphi4', 'theory', 'simplify', 'the', 'study', 'of', 'tensor', 'matter', 'fields', 'in', 'a', 'curved', 'spacetime', 'the', 'energymomentum', 'tensor', 'for', 'matter', 'fields', 'is', 'computed']] | [-0.17523707600776106, 0.18849434074111152, -0.15409261990776835, 0.12881256134064376, -0.10381955954739276, -0.09371650488773252, -0.13814807946362315, 0.32145729269284534, -0.19807519002214952, -0.25125833929461594, 0.029982687318218213, -0.2053105293718331, -0.2454536447630209, 0.10968106791979688, -0.011043822529780515, -0.05823986993773895, -0.04030130507753176, 0.10786507848431082, -0.11994621857165304, -0.20586550584651858, 0.3475609065944274, 0.03151859386878855, 0.27248667457195763, 0.03762516875148696, 0.10855844361803439, 0.024404696914750862, -0.040846427181831506, 0.10870404488763169, -0.08827205591628359, 0.11614799672080313, 0.25752770999336944, 0.06292788619997308, 0.1739749949398067, -0.4587837409995058, -0.3011297706980258, 0.06972167558748932, 0.10841246772393145, 0.15825266433496246, -0.06646162244107794, -0.29619480617453947, 0.05932743256219991, -0.17947269247516112, -0.17274496842668774, -0.07696178881451488, 0.00036703535143340775, -0.12832845268456047, -0.2440590492093607, 0.10421905623447589, 0.018020886980914783, 0.042841183939291275, -0.09722626903642188, -0.035393004291964805, -0.00026827797238879343, 0.038582673529163, 0.08104644767145681, 0.08745503350612982, 0.12721165820874056, -0.21096674018361442, -0.12618266213137438, 0.36998602506868977, -0.13499330579960608, -0.27281122838201766, 0.08750444949221085, -0.12154107001226615, -0.11881013191305101, 0.06556588053182863, 0.1736346120288705, 0.18034806990009897, -0.10996009298490689, 0.25188168420315965, -0.06284064517753638, 0.16954115097178146, 0.093404671355315, -0.009920060470261994, 0.2801929745439659, 0.07428069429143387, 0.004849723143064801, 0.10959230420035858, 0.029356510734514278, -0.13886290892739506, -0.3998918009969844, -0.21462292739135377, -0.15553577497656293, 0.09825451481875087, -0.1628704330203832, -0.21597892960862203, 0.34763428464751034, 0.08623683157459121, 0.08547195970501942, 0.00248489947989583, 0.23027699843377752, 0.09189377666060704, 0.03590172266601311, 0.061992304427001405, 0.29043435425881076, 0.30773017013116793, 0.1250193032216938, -0.14153207902221338, -0.16032864506739905, 0.08337030815891922] |
710.068 | Dynamical Threshold Enhancement and Resummation in Drell-Yan Production | Partonic cross sections for the production of massive objects in hadronic
collisions receive large corrections when the invariant mass of the
initial-state partons is just above the production threshold. Since typically
the center-of-mass energy of the hadronic collision is much higher than the
mass of the heavy objects, it is not obvious that these contributions translate
into large corrections to the hadronic cross section. Using a recent approach
to threshold resummation based on effective field theory, we quantify to which
extent the fall-off of the parton densities at high x leads to a dynamical
enhancement of the partonic threshold region. With the example of Drell-Yan
production, we study the emergence of an effective physical scale
characterizing the soft emissions in the process. We derive compact analytical
expressions for the resummed Drell-Yan cross section and rapidity distribution
directly in momentum space. They are free of Landau-pole singularities and are
trivially matched onto fixed-order perturbative calculations. Evaluating the
resummed cross sections at NNNLL order and matching onto NNLO fixed-order
calculations, we perform a detailed numerical analysis of the cross section and
rapidity distribution in proton-proton collisions.
| hep-ph | partonic cross sections for the production of massive objects in hadronic collisions receive large corrections when the invariant mass of the initialstate partons is just above the production threshold since typically the centerofmass energy of the hadronic collision is much higher than the mass of the heavy objects it is not obvious that these contributions translate into large corrections to the hadronic cross section using a recent approach to threshold resummation based on effective field theory we quantify to which extent the falloff of the parton densities at high x leads to a dynamical enhancement of the partonic threshold region with the example of drellyan production we study the emergence of an effective physical scale characterizing the soft emissions in the process we derive compact analytical expressions for the resummed drellyan cross section and rapidity distribution directly in momentum space they are free of landaupole singularities and are trivially matched onto fixedorder perturbative calculations evaluating the resummed cross sections at nnnll order and matching onto nnlo fixedorder calculations we perform a detailed numerical analysis of the cross section and rapidity distribution in protonproton collisions | [['partonic', 'cross', 'sections', 'for', 'the', 'production', 'of', 'massive', 'objects', 'in', 'hadronic', 'collisions', 'receive', 'large', 'corrections', 'when', 'the', 'invariant', 'mass', 'of', 'the', 'initialstate', 'partons', 'is', 'just', 'above', 'the', 'production', 'threshold', 'since', 'typically', 'the', 'centerofmass', 'energy', 'of', 'the', 'hadronic', 'collision', 'is', 'much', 'higher', 'than', 'the', 'mass', 'of', 'the', 'heavy', 'objects', 'it', 'is', 'not', 'obvious', 'that', 'these', 'contributions', 'translate', 'into', 'large', 'corrections', 'to', 'the', 'hadronic', 'cross', 'section', 'using', 'a', 'recent', 'approach', 'to', 'threshold', 'resummation', 'based', 'on', 'effective', 'field', 'theory', 'we', 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710.0681 | Yang-Mills theory over surfaces and the Atiyah-Segal theorem | In this paper we explain how Morse theory for the Yang-Mills functional can
be used to prove an analogue, for surface groups, of the Atiyah-Segal theorem.
Classically, the Atiyah-Segal theorem relates the representation ring R(\Gamma)
of a compact Lie group $\Gamma$ to the complex K-theory of the classifying
space $B\Gamma$. For infinite discrete groups, it is necessary to take into
account deformations of representations, and with this in mind we replace the
representation ring by Carlsson's deformation $K$--theory spectrum $\K
(\Gamma)$ (the homotopy-theoretical analogue of $R(\Gamma)$). Our main theorem
provides an isomorphism in homotopy $\K_*(\pi_1 \Sigma)\isom K^{-*}(\Sigma)$
for all compact, aspherical surfaces $\Sigma$ and all $*>0$. Combining this
result with work of Tyler Lawson, we obtain homotopy theoretical information
about the stable moduli space of flat unitary connections over surfaces.
| math.AT math.DG math.KT | in this paper we explain how morse theory for the yangmills functional can be used to prove an analogue for surface groups of the atiyahsegal theorem classically the atiyahsegal theorem relates the representation ring rgamma of a compact lie group gamma to the complex ktheory of the classifying space bgamma for infinite discrete groups it is necessary to take into account deformations of representations and with this in mind we replace the representation ring by carlssons deformation ktheory spectrum k gamma the homotopytheoretical analogue of rgamma our main theorem provides an isomorphism in homotopy k_pi_1 sigmaisom ksigma for all compact aspherical surfaces sigma and all 0 combining this result with work of tyler lawson we obtain homotopy theoretical information about the stable moduli space of flat unitary connections over surfaces | [['in', 'this', 'paper', 'we', 'explain', 'how', 'morse', 'theory', 'for', 'the', 'yangmills', 'functional', 'can', 'be', 'used', 'to', 'prove', 'an', 'analogue', 'for', 'surface', 'groups', 'of', 'the', 'atiyahsegal', 'theorem', 'classically', 'the', 'atiyahsegal', 'theorem', 'relates', 'the', 'representation', 'ring', 'rgamma', 'of', 'a', 'compact', 'lie', 'group', 'gamma', 'to', 'the', 'complex', 'ktheory', 'of', 'the', 'classifying', 'space', 'bgamma', 'for', 'infinite', 'discrete', 'groups', 'it', 'is', 'necessary', 'to', 'take', 'into', 'account', 'deformations', 'of', 'representations', 'and', 'with', 'this', 'in', 'mind', 'we', 'replace', 'the', 'representation', 'ring', 'by', 'carlssons', 'deformation', 'ktheory', 'spectrum', 'k', 'gamma', 'the', 'homotopytheoretical', 'analogue', 'of', 'rgamma', 'our', 'main', 'theorem', 'provides', 'an', 'isomorphism', 'in', 'homotopy', 'k_pi_1', 'sigmaisom', 'ksigma', 'for', 'all', 'compact', 'aspherical', 'surfaces', 'sigma', 'and', 'all', '0', 'combining', 'this', 'result', 'with', 'work', 'of', 'tyler', 'lawson', 'we', 'obtain', 'homotopy', 'theoretical', 'information', 'about', 'the', 'stable', 'moduli', 'space', 'of', 'flat', 'unitary', 'connections', 'over', 'surfaces']] | [-0.1418283579441777, 0.07846295155673033, -0.16798248936174787, 0.11593321581858618, -0.09378078324516537, -0.11574473769360338, -0.007140135330701014, 0.36354208424745593, -0.31934994882249157, -0.21750654919287626, 0.0672826233521846, -0.19941202524114487, -0.17621959732059622, 0.20313765783066629, -0.16646893085999181, -0.04131429625340388, 0.0035666422045323998, 0.0793776541504485, -0.08146618050705001, -0.2410192147399357, 0.3938667028087366, -0.01353548956103623, 0.20675381467555098, 0.04201443299456287, 0.05579439096436545, 0.048380638128946885, -0.02976186825253535, -0.03487675083715658, -0.16965112634352408, 0.17947489789003157, 0.3281898544437354, 0.038849767895953846, 0.16331818055004987, -0.379949963047693, -0.19975306756896316, 0.1957491363718873, 0.10947127877443563, 0.020929278849507682, -0.012061661722327699, -0.3036836026003584, 0.13344880415024818, -0.1907492270329385, -0.17776712395016148, -0.0897485594759928, 0.07007597118717968, -0.04336709150811657, -0.1774747141826083, 0.011361799428414088, 0.11662810358393472, 0.08061435637500836, -0.1252044123284577, -0.050609557638381375, -0.03752582151173556, 0.12970866864452546, 0.012105409716241411, 0.047415011823431996, 0.10428519627203059, -0.0652242752858001, -0.0960167331431876, 0.3843362848747347, -0.06565799050258647, -0.17768287155922735, 0.12513220258369984, -0.1401283513805538, -0.21042610975564457, 0.1567644645620021, 0.07302098038417171, 0.13725659139163326, -0.01963161369349109, 0.22604810339453252, -0.09913968252658378, 0.11373675224149338, 0.09771233148239844, -0.02373244757836801, 0.13720916343845602, 0.1141300095441693, 0.08644919918378946, 0.11460219664786564, 0.021758407600827923, -0.026324767673941096, -0.35667527412442723, -0.24570927913009655, -0.11503108812758, 0.15855228865984827, -0.11598217294499591, -0.16418129032899742, 0.36466484846459934, 0.04530446639546426, 0.18480594148059026, 0.1417748833882797, 0.2153057314335456, 0.06157506004547031, 0.03207916244173248, 0.05318342088867212, 0.12758555063192034, 0.2844807979345205, -0.029853755052499764, -0.12286563887028024, -0.1032465974567458, 0.20256763305951608] |
710.0682 | Demonstration of a New Transport Regime of Photon in Two-dimensional
Photonic Crystal | A new transport regime of photon in two-dimensional photonic crystal near the
Dirac point has been demonstrated by exact numerical simulation. In this
regime, the conductance of photon is inversely proportional to the thickness of
sample, which can be described by Dirac equation very well. Both of bulk and
surface disorders always reduce the transmission, which is in contrast to the
previous theoretical prediction that they increase the conductance of electron
at the Dirac point of grephene. However, regular tuning of interface structures
can cause the improvement of photon conductance. Furthermore, large conductance
fluctuations of photon have also been observed, which is similar to the case of
electron in graphene.
| cond-mat.mtrl-sci cond-mat.dis-nn | a new transport regime of photon in twodimensional photonic crystal near the dirac point has been demonstrated by exact numerical simulation in this regime the conductance of photon is inversely proportional to the thickness of sample which can be described by dirac equation very well both of bulk and surface disorders always reduce the transmission which is in contrast to the previous theoretical prediction that they increase the conductance of electron at the dirac point of grephene however regular tuning of interface structures can cause the improvement of photon conductance furthermore large conductance fluctuations of photon have also been observed which is similar to the case of electron in graphene | [['a', 'new', 'transport', 'regime', 'of', 'photon', 'in', 'twodimensional', 'photonic', 'crystal', 'near', 'the', 'dirac', 'point', 'has', 'been', 'demonstrated', 'by', 'exact', 'numerical', 'simulation', 'in', 'this', 'regime', 'the', 'conductance', 'of', 'photon', 'is', 'inversely', 'proportional', 'to', 'the', 'thickness', 'of', 'sample', 'which', 'can', 'be', 'described', 'by', 'dirac', 'equation', 'very', 'well', 'both', 'of', 'bulk', 'and', 'surface', 'disorders', 'always', 'reduce', 'the', 'transmission', 'which', 'is', 'in', 'contrast', 'to', 'the', 'previous', 'theoretical', 'prediction', 'that', 'they', 'increase', 'the', 'conductance', 'of', 'electron', 'at', 'the', 'dirac', 'point', 'of', 'grephene', 'however', 'regular', 'tuning', 'of', 'interface', 'structures', 'can', 'cause', 'the', 'improvement', 'of', 'photon', 'conductance', 'furthermore', 'large', 'conductance', 'fluctuations', 'of', 'photon', 'have', 'also', 'been', 'observed', 'which', 'is', 'similar', 'to', 'the', 'case', 'of', 'electron', 'in', 'graphene']] | [-0.125023168276722, 0.1695355329013199, -0.071718339695074, 0.0081239655430198, -0.015407185693946453, -0.1690054168249694, 0.04690556917681333, 0.36073442381046233, -0.24920334696872246, -0.33140036012601415, 0.014874404172387418, -0.32695279936861554, -0.14598847835307616, 0.21753542076522878, -0.025608778298926462, 0.08805321450900594, 0.019502069408056932, -0.0067088950698802234, -0.06560703594912562, -0.21632482272085793, 0.2749410965351747, 0.09563232196170256, 0.33977442441525263, 0.11649116127828665, 0.05057775640620961, -0.028126021889850087, 0.05059518380551983, 0.06602641596638281, -0.08867421528622732, 0.03842508341741124, 0.26781026178270306, -0.1044067976133334, 0.20437364114465517, -0.4223134865160736, -0.23910614883168302, 0.04203692597225992, 0.20146458563095795, 0.12811351924335773, -0.050689286885595104, -0.24551670282647664, 0.0852109097326687, -0.13036166499326124, -0.1292475216782763, -0.030147471247292168, -0.015638226408237983, -0.004336998922912694, -0.2161499471531822, 0.11642342592443237, 0.010092816504632729, 0.014399694005420448, -0.014206313788719954, -0.07611337724278484, -0.08199225203561332, 0.08326177609605936, 0.06027889194676157, 0.015581876960147274, 0.15885336759901786, -0.1455413928712556, -0.11295127151790288, 0.36883559429146556, -0.06157811751606267, -0.16406955580662833, 0.1542390608228743, -0.2161861007110378, -0.031818416460904234, 0.20353982888093783, 0.13340893740618362, 0.07920322685989492, -0.1291031064252036, 0.09241665107655443, -0.05500231018512074, 0.14723270278639766, 0.08169627367783713, 0.0710611717109013, 0.2214611437462202, 0.18790550462457292, 0.05995474151045152, 0.11354490454039545, -0.14372885114205744, -0.06392147717783826, -0.26378200177547584, -0.1790300019143081, -0.2415950381957473, 0.07710346219839033, -0.059795541761292426, -0.20046498094164178, 0.4244637515293349, 0.14678059681959518, 0.18146551899406888, -0.03266900550005872, 0.2630976138021284, 0.21397785175967654, 0.08932503276940333, 0.031442699697586375, 0.2899890075514623, 0.13107657844815915, 0.09562642529282138, -0.2906385686274174, 0.05717606480241916, -0.025848091755130694] |
710.0683 | The One-Dimensional Wigner Crystal in Carbon Nanotubes | Electron-electron interactions strongly affect the behavior of
low-dimensional systems. In one dimension (1D), arbitrarily weak interactions
qualitatively alter the ground state producing a Luttinger liquid (LL) which
has now been observed in a number of experimental systems. Interactions are
even more important at low carrier density, and in the limit when the
long-ranged Coulomb potential is the dominant energy scale, the electron liquid
is expected to become a periodically ordered solid known as the Wigner crystal.
In 1D, the Wigner crystal has been predicted to exhibit novel spin and magnetic
properties not present in an ordinary LL. However, despite recent progress in
coupled quantum wires, unambiguous experimental demonstration of this state has
not been possible due to the role of disorder. Here, we demonstrate using
low-temperature single-electron transport spectroscopy that a hole gas in
low-disorder carbon nanotubes with a band gap is a realization of the 1D Wigner
crystal. Our observation can lead to unprecedented control over the behavior of
the spatially separated system of carriers, and could be used to realize solid
state quantum computing with long coherence times.
| cond-mat.str-el cond-mat.mes-hall | electronelectron interactions strongly affect the behavior of lowdimensional systems in one dimension 1d arbitrarily weak interactions qualitatively alter the ground state producing a luttinger liquid ll which has now been observed in a number of experimental systems interactions are even more important at low carrier density and in the limit when the longranged coulomb potential is the dominant energy scale the electron liquid is expected to become a periodically ordered solid known as the wigner crystal in 1d the wigner crystal has been predicted to exhibit novel spin and magnetic properties not present in an ordinary ll however despite recent progress in coupled quantum wires unambiguous experimental demonstration of this state has not been possible due to the role of disorder here we demonstrate using lowtemperature singleelectron transport spectroscopy that a hole gas in lowdisorder carbon nanotubes with a band gap is a realization of the 1d wigner crystal our observation can lead to unprecedented control over the behavior of the spatially separated system of carriers and could be used to realize solid state quantum computing with long coherence times | [['electronelectron', 'interactions', 'strongly', 'affect', 'the', 'behavior', 'of', 'lowdimensional', 'systems', 'in', 'one', 'dimension', '1d', 'arbitrarily', 'weak', 'interactions', 'qualitatively', 'alter', 'the', 'ground', 'state', 'producing', 'a', 'luttinger', 'liquid', 'll', 'which', 'has', 'now', 'been', 'observed', 'in', 'a', 'number', 'of', 'experimental', 'systems', 'interactions', 'are', 'even', 'more', 'important', 'at', 'low', 'carrier', 'density', 'and', 'in', 'the', 'limit', 'when', 'the', 'longranged', 'coulomb', 'potential', 'is', 'the', 'dominant', 'energy', 'scale', 'the', 'electron', 'liquid', 'is', 'expected', 'to', 'become', 'a', 'periodically', 'ordered', 'solid', 'known', 'as', 'the', 'wigner', 'crystal', 'in', '1d', 'the', 'wigner', 'crystal', 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710.0684 | Quantum Control Landscapes | Numerous lines of experimental, numerical and analytical evidence indicate
that it is surprisingly easy to locate optimal controls steering quantum
dynamical systems to desired objectives. This has enabled the control of
complex quantum systems despite the expense of solving the Schrodinger equation
in simulations and the complicating effects of environmental decoherence in the
laboratory. Recent work indicates that this simplicity originates in universal
properties of the solution sets to quantum control problems that are
fundamentally different from their classical counterparts. Here, we review
studies that aim to systematically characterize these properties, enabling the
classification of quantum control mechanisms and the design of globally
efficient quantum control algorithms.
| quant-ph | numerous lines of experimental numerical and analytical evidence indicate that it is surprisingly easy to locate optimal controls steering quantum dynamical systems to desired objectives this has enabled the control of complex quantum systems despite the expense of solving the schrodinger equation in simulations and the complicating effects of environmental decoherence in the laboratory recent work indicates that this simplicity originates in universal properties of the solution sets to quantum control problems that are fundamentally different from their classical counterparts here we review studies that aim to systematically characterize these properties enabling the classification of quantum control mechanisms and the design of globally efficient quantum control algorithms | [['numerous', 'lines', 'of', 'experimental', 'numerical', 'and', 'analytical', 'evidence', 'indicate', 'that', 'it', 'is', 'surprisingly', 'easy', 'to', 'locate', 'optimal', 'controls', 'steering', 'quantum', 'dynamical', 'systems', 'to', 'desired', 'objectives', 'this', 'has', 'enabled', 'the', 'control', 'of', 'complex', 'quantum', 'systems', 'despite', 'the', 'expense', 'of', 'solving', 'the', 'schrodinger', 'equation', 'in', 'simulations', 'and', 'the', 'complicating', 'effects', 'of', 'environmental', 'decoherence', 'in', 'the', 'laboratory', 'recent', 'work', 'indicates', 'that', 'this', 'simplicity', 'originates', 'in', 'universal', 'properties', 'of', 'the', 'solution', 'sets', 'to', 'quantum', 'control', 'problems', 'that', 'are', 'fundamentally', 'different', 'from', 'their', 'classical', 'counterparts', 'here', 'we', 'review', 'studies', 'that', 'aim', 'to', 'systematically', 'characterize', 'these', 'properties', 'enabling', 'the', 'classification', 'of', 'quantum', 'control', 'mechanisms', 'and', 'the', 'design', 'of', 'globally', 'efficient', 'quantum', 'control', 'algorithms']] | [-0.1348104924616343, 0.07395684121341975, -0.10026966742561938, 0.04123476547489343, -0.07402616791496767, -0.14963168239277552, 0.06310671731333518, 0.3815198917655605, -0.2827836179487825, -0.2921078768210642, 0.09457655369617463, -0.25024174712598324, -0.2082385976513778, 0.25829025754861745, -0.05965355339364332, 0.14164377485889348, 0.04843130179846259, -0.05512604435087643, -0.07387434974504269, -0.22358868418209185, 0.29451968210148755, 0.05850694851327479, 0.3093245015305545, 0.05112539392365056, 0.08631677672301775, -0.031976712844361745, -0.013095734153534764, 0.014883543747677424, -0.13377203158604495, 0.13847899635835925, 0.2949512844435244, 0.13828547638362257, 0.3030285275950332, -0.4434752507291943, -0.2316402793779238, 0.08719445683745336, 0.1462144575225381, 0.17215619021243303, -0.08402714426585725, -0.2621291499306387, 0.08488134582849027, -0.11709694979956077, -0.156207223823207, -0.11118257879696392, 0.00523146254959229, 0.0118132748762929, -0.2051173844592315, 0.05889825460231193, 0.056810400560530876, 0.05502101521782368, -0.09089281517907838, -0.056250102730972744, 0.040115003748231126, 0.154445446903108, 0.00579003656117646, -0.03475917753911464, 0.14586731737096595, -0.1585970840538704, -0.19765330607367454, 0.3905247650065712, 0.05324809184128192, -0.18562251635365815, 0.2631558235386543, -0.12276527481414726, -0.13636172294973561, 0.11193401347323556, 0.17729409725979736, 0.10820185803921423, -0.1701308582282721, 0.07561684569842225, 0.014548952534585912, 0.1815369152028775, -0.015813299813786538, 0.10723119121149322, 0.17715293964562573, 0.12827828361557048, 0.08648210566351626, 0.14335701344197477, -0.0015253584623058265, -0.196265173749563, -0.2590230908854125, -0.13832364851014828, -0.14846257592560114, 0.0691975230257523, -0.04543226952493195, -0.13771263769366474, 0.3893599853868309, 0.22985858733985556, 0.1380155548087765, 0.009249318077742496, 0.316297921082266, 0.10463618139070502, 0.03614358921430866, 0.04727519501792702, 0.2825067526656508, 0.14604685696442482, 0.0919126357543761, -0.3090597822518027, 0.07404033219655018, -0.019206048315826143] |
710.0685 | Uniformly Balanced Repeated Measurements Designs in the Presence of
Subject Dropout | Low, Lewis and Prescott (1999) showed that a crossover design based on a
Williams Latin square of order 4 can suffer substantial loss of efficiency if
some observations in the final period are unavailable. Indeed, if all
observations are missing, the design becomes disconnected. We derive the
information matrix for the direct effects of a Uniformly Balanced Repeated
Measurements Design (UBRMD) in t periods when subjects may drop out before the
end of the study and examine the maximum loss of information. The special case
of loss of observations in the final period only is examined in detail. In
particular we show that a UBRMD in t>= 5 periods remains connected when some or
all observations in the final period are unavailable.
| math.ST stat.TH | low lewis and prescott 1999 showed that a crossover design based on a williams latin square of order 4 can suffer substantial loss of efficiency if some observations in the final period are unavailable indeed if all observations are missing the design becomes disconnected we derive the information matrix for the direct effects of a uniformly balanced repeated measurements design ubrmd in t periods when subjects may drop out before the end of the study and examine the maximum loss of information the special case of loss of observations in the final period only is examined in detail in particular we show that a ubrmd in t 5 periods remains connected when some or all observations in the final period are unavailable | [['low', 'lewis', 'and', 'prescott', '1999', 'showed', 'that', 'a', 'crossover', 'design', 'based', 'on', 'a', 'williams', 'latin', 'square', 'of', 'order', '4', 'can', 'suffer', 'substantial', 'loss', 'of', 'efficiency', 'if', 'some', 'observations', 'in', 'the', 'final', 'period', 'are', 'unavailable', 'indeed', 'if', 'all', 'observations', 'are', 'missing', 'the', 'design', 'becomes', 'disconnected', 'we', 'derive', 'the', 'information', 'matrix', 'for', 'the', 'direct', 'effects', 'of', 'a', 'uniformly', 'balanced', 'repeated', 'measurements', 'design', 'ubrmd', 'in', 't', 'periods', 'when', 'subjects', 'may', 'drop', 'out', 'before', 'the', 'end', 'of', 'the', 'study', 'and', 'examine', 'the', 'maximum', 'loss', 'of', 'information', 'the', 'special', 'case', 'of', 'loss', 'of', 'observations', 'in', 'the', 'final', 'period', 'only', 'is', 'examined', 'in', 'detail', 'in', 'particular', 'we', 'show', 'that', 'a', 'ubrmd', 'in', 't', '5', 'periods', 'remains', 'connected', 'when', 'some', 'or', 'all', 'observations', 'in', 'the', 'final', 'period', 'are', 'unavailable']] | [-0.15080289213801734, 0.1659179896543113, -0.05593169752197961, 0.06587057279442282, -0.053722528728152, -0.11559185388808449, 0.07235614378781369, 0.3845297683961689, -0.2324198804621119, -0.2951477844733745, 0.18257941639458294, -0.28725545412986925, -0.146880237624282, 0.1725967466753597, -0.10967812247108669, -0.00011837165026615063, 0.14280068131629378, 0.056318854346560934, -0.09939549063953261, -0.31127377501688896, 0.2689952766522765, 0.038192536666368446, 0.21930529604724142, 0.03648997069249162, 0.06712080939711693, 0.026480381675840665, -0.06383920847414022, 0.0069217408502784865, -0.12227853086139172, 0.03197463670706687, 0.242434461779582, 0.1377787715018106, 0.2866849336307496, -0.40609183921478686, -0.19202760423067958, 0.10529953621638317, 0.10106527678726707, 0.07688145478411267, -0.014586844071163795, -0.17838299902893293, 0.09729436075237269, -0.15352667296150077, -0.09790673091386755, -0.025702261115657165, 0.05629061507061124, 0.008777371330264334, -0.2645769506848107, 0.08890933921405425, 0.06293936152166377, 0.05907080601124714, -0.044756236559866616, -0.14941854143204789, -0.03916751904568325, 0.13879577135909738, 0.04286427735157001, 0.0033525607199408115, 0.0607322415492187, -0.13648165098857135, -0.10509474535938353, 0.34028420522420977, -0.046402039449700776, -0.14508710387938967, 0.15269156200423215, -0.2000907423857522, -0.12967284828191622, 0.13958239789450697, 0.17344433010245364, 0.1145311772590503, -0.13167598816532214, 0.03086573330729152, -0.04635176050166289, 0.17756233805945765, 0.09735733985241192, 0.013314431643811986, 0.1708036253384004, 0.13564939688852368, 0.03790957244345918, 0.14639421778459413, -0.12039648069185205, -0.07828720207326115, -0.3024678576698837, -0.12899993195508916, -0.17643608292758775, 0.061286907837105296, -0.0568061128059829, -0.11159763617130618, 0.3535606130879993, 0.1177454623170585, 0.2429842407388302, 0.03261629287929584, 0.26836165463513073, 0.07128660261223559, 0.03471019037036361, 0.09335523144109174, 0.2655023863058886, 0.10686169229835893, 0.07000901854674642, -0.18317721048758054, 0.09055855647893622, -0.01626300304584826] |
710.0686 | Habitability of Planets in Binaries | A survey of currently known extrasolar planets indicates that close to 20% of
their hosting stars are members of binary systems. While the majority of these
binaries are wide (i.e., with separations between 250 and 6500 AU), the
detection of Jovian-type planets in the three binaries of Gamma Cephei
(separation of 18.5 AU), GL 86 (separation of 21 AU), and HD 41004 (separation
of 23 AU) have brought to the forefront questions on the formation of giant
planets and the possibility of the existence of smaller bodies in moderately
close binary star systems. This paper discusses the late stage of the formation
of habitable planets in binary systems that host Jovian-type bodies, and
reviews the effects of the binary companion on the formation of Earth-like
planets in the system's habitable zone. The results of a large survey of the
parameter-space of binary-planetary systems in search of regions where
habitable planets can form and have long-term stable orbits are also presented.
| astro-ph | a survey of currently known extrasolar planets indicates that close to 20 of their hosting stars are members of binary systems while the majority of these binaries are wide ie with separations between 250 and 6500 au the detection of joviantype planets in the three binaries of gamma cephei separation of 185 au gl 86 separation of 21 au and hd 41004 separation of 23 au have brought to the forefront questions on the formation of giant planets and the possibility of the existence of smaller bodies in moderately close binary star systems this paper discusses the late stage of the formation of habitable planets in binary systems that host joviantype bodies and reviews the effects of the binary companion on the formation of earthlike planets in the systems habitable zone the results of a large survey of the parameterspace of binaryplanetary systems in search of regions where habitable planets can form and have longterm stable orbits are also presented | [['a', 'survey', 'of', 'currently', 'known', 'extrasolar', 'planets', 'indicates', 'that', 'close', 'to', '20', 'of', 'their', 'hosting', 'stars', 'are', 'members', 'of', 'binary', 'systems', 'while', 'the', 'majority', 'of', 'these', 'binaries', 'are', 'wide', 'ie', 'with', 'separations', 'between', '250', 'and', '6500', 'au', 'the', 'detection', 'of', 'joviantype', 'planets', 'in', 'the', 'three', 'binaries', 'of', 'gamma', 'cephei', 'separation', 'of', '185', 'au', 'gl', '86', 'separation', 'of', '21', 'au', 'and', 'hd', '41004', 'separation', 'of', '23', 'au', 'have', 'brought', 'to', 'the', 'forefront', 'questions', 'on', 'the', 'formation', 'of', 'giant', 'planets', 'and', 'the', 'possibility', 'of', 'the', 'existence', 'of', 'smaller', 'bodies', 'in', 'moderately', 'close', 'binary', 'star', 'systems', 'this', 'paper', 'discusses', 'the', 'late', 'stage', 'of', 'the', 'formation', 'of', 'habitable', 'planets', 'in', 'binary', 'systems', 'that', 'host', 'joviantype', 'bodies', 'and', 'reviews', 'the', 'effects', 'of', 'the', 'binary', 'companion', 'on', 'the', 'formation', 'of', 'earthlike', 'planets', 'in', 'the', 'systems', 'habitable', 'zone', 'the', 'results', 'of', 'a', 'large', 'survey', 'of', 'the', 'parameterspace', 'of', 'binaryplanetary', 'systems', 'in', 'search', 'of', 'regions', 'where', 'habitable', 'planets', 'can', 'form', 'and', 'have', 'longterm', 'stable', 'orbits', 'are', 'also', 'presented']] | [-0.18958523101612645, 0.13124973441506355, -0.02893239345237519, 0.030364874495762993, -0.0718828408111988, -0.03430103159175729, 0.10306793598402526, 0.2828094108738942, -0.1544567126613813, -0.3686792552236866, 0.09383836516351937, -0.31196693726961716, -0.10453190769320764, 0.2045913713342809, -0.05313043573024864, 0.028421155973659747, 0.1782184292038071, -0.03720287499296239, -0.06042344091495253, -0.29037509509508713, 0.3295964775175009, 0.044825362650759565, 0.002946523123614068, -0.02699802429327425, -0.003388423911946, -0.07066450279159178, 0.004235849686482418, -0.08940598155436276, -0.1860300001997461, 0.08627582453894166, 0.28228171368908583, 0.134295936258006, 0.24029855272269943, -0.32312846143946705, -0.19075503611114203, 0.02911355914533396, 0.1737373068419127, -0.001754997410875915, -0.026771070176454366, -0.2898918010628308, 0.16009462839753935, -0.21575177985143923, -0.1525687167959862, 0.07090559152230246, 0.13975191161288358, 0.05768839740187059, -0.204061381566615, 0.09499636672216807, 0.12110395694104661, 0.1332982941267063, -0.16574492372584138, -0.1765311001214263, -0.03513967081517825, 0.09472219493685279, 0.00888353519422828, 0.0019834344707277116, 0.15945610969251245, -0.08413002522714999, -0.04807128223851206, 0.4458890385316603, -0.07574291930258649, -0.01910634110125262, 0.34820674985366046, -0.26847132214538333, -0.11646119693481603, 0.1413754699590657, 0.23127716965973377, 0.22442682162908334, -0.17462374970211453, 0.00024586740358433916, 0.01664852902714936, 0.19118694470223016, 0.10196155645011824, 0.07729816931715738, 0.4587158912898235, 0.19123464841512763, 0.053005967303852805, 0.07364491181325097, -0.23453046269304817, -0.09371278155887933, -0.1470907166389362, -0.1493315129576005, -0.13294203539009927, -0.0035281770470194846, -0.09418000065552806, -0.14375147823322676, 0.32211203728333915, 0.13369624369152464, 0.17009026289964388, 0.0013121924884383033, 0.22294321390302302, 0.01616545737964107, 0.10879879855878839, 0.0867718515944017, 0.3711057595239437, 0.1604834095569058, 0.071134325100765, -0.23369407107169102, 0.06782469683496645, -0.05564249490838755] |
710.0687 | Entanglement of a Laguerre-Gaussian cavity mode with a rotating mirror | It has previously been shown theoretically that the exchange of linear
momentum between the light field in an optical cavity and a vibrating end
mirror can entangle the electromagnetic field with the vibrational motion of
that mirror. In this paper we consider the rotational analog of this situation
and show that radiation torque can similarly entangle a Laguerre-Gaussian
cavity mode with a rotating end mirror. We examine the mirror-field
entanglement as a function of ambient temperature, radiation detuning and
orbital angular momentum carried by the cavity mode.
| quant-ph | it has previously been shown theoretically that the exchange of linear momentum between the light field in an optical cavity and a vibrating end mirror can entangle the electromagnetic field with the vibrational motion of that mirror in this paper we consider the rotational analog of this situation and show that radiation torque can similarly entangle a laguerregaussian cavity mode with a rotating end mirror we examine the mirrorfield entanglement as a function of ambient temperature radiation detuning and orbital angular momentum carried by the cavity mode | [['it', 'has', 'previously', 'been', 'shown', 'theoretically', 'that', 'the', 'exchange', 'of', 'linear', 'momentum', 'between', 'the', 'light', 'field', 'in', 'an', 'optical', 'cavity', 'and', 'a', 'vibrating', 'end', 'mirror', 'can', 'entangle', 'the', 'electromagnetic', 'field', 'with', 'the', 'vibrational', 'motion', 'of', 'that', 'mirror', 'in', 'this', 'paper', 'we', 'consider', 'the', 'rotational', 'analog', 'of', 'this', 'situation', 'and', 'show', 'that', 'radiation', 'torque', 'can', 'similarly', 'entangle', 'a', 'laguerregaussian', 'cavity', 'mode', 'with', 'a', 'rotating', 'end', 'mirror', 'we', 'examine', 'the', 'mirrorfield', 'entanglement', 'as', 'a', 'function', 'of', 'ambient', 'temperature', 'radiation', 'detuning', 'and', 'orbital', 'angular', 'momentum', 'carried', 'by', 'the', 'cavity', 'mode']] | [-0.18541420250462004, 0.22148510989958511, -0.12621487332400919, -0.004301888303531484, -0.050852319011571764, -0.14119996406651777, 0.01212890107377336, 0.42414161738211653, -0.24626023836176972, -0.2831796754751055, 0.016943443306967957, -0.23050071902830024, -0.10148739027416055, 0.19648838242323236, -0.03961413908728409, 0.032921356664189064, 0.01739515290841803, 0.018113278955135537, -0.020578815930940467, -0.12025692573769939, 0.3194151343777776, 0.07428096461741404, 0.2776006130694315, -0.00018724680332274273, 0.1383814207417355, 0.013465226692115438, 0.07780761869046195, -0.012654149797798574, -0.09249249439351676, 0.04367238839809922, 0.1885713583029721, -0.011518040848574761, 0.23454967346684685, -0.4501420599033778, -0.19005316826340946, 0.0927972206738831, 0.18304019245779377, 0.19596033489824027, -0.07617836884469137, -0.23339610161452456, -0.054013967886031876, -0.19804299353011723, -0.17883476740734158, -0.06046787263215359, 0.011430054102842322, 0.020874742707558746, -0.21949668700710454, 0.018872369594615083, 0.05665185543355243, 0.06629614630478552, -0.04534360381035969, -0.011545924914080179, -0.07292265365778029, 0.034388938016825535, 0.06540645461331454, 0.06584128688742545, 0.1662643946300464, -0.11439510508729465, -0.08867662706166163, 0.35130221503733217, -0.10780768915368565, -0.19059572253247786, 0.14641215550531259, -0.19782082783325908, 0.01112876856838749, 0.11099151890703488, 0.1580363410864903, 0.11353064287753625, -0.12852392306058913, 0.0378526777073195, -0.04826440102281584, 0.20937642865097042, 0.14556423373434735, 0.09567289915064285, 0.2698745596725708, 0.10114396320677352, 0.008456125737692433, 0.2505613175359951, -0.14395833787730436, -0.05992038774668057, -0.2685342754676253, -0.17131113629231506, -0.2011732545396281, 0.06488513789974668, -0.026169619095463562, -0.0714812340096426, 0.39052737048216934, 0.10358779259753981, 0.16065012022649505, -0.03147775516042422, 0.3682425722437001, 0.1276101397080133, 0.06412810555541482, 0.06650626253992842, 0.38970416023171156, 0.18640990957253795, 0.12231014490170383, -0.3676713506514528, -0.09334927733088362, -0.018492626249736667] |
710.0688 | The type N Karlhede bound is sharp | We present a family of four-dimensional Lorentzian manifolds whose invariant
classification requires the seventh covariant derivative of the curvature
tensor. The spacetimes in questions are null radiation, type N solutions on an
anti-de Sitter background. The large order of the bound is due to the fact that
these spacetimes are properly $CH_2$, i.e., curvature homogeneous of order 2
but non-homogeneous. This means that tetrad components of $R, \nabla R,
\nabla^{(2)}R$ are constant, and that essential coordinates first appear as
components of $\nabla^{(3)}R$. Covariant derivatives of orders 4,5,6 yield one
additional invariant each, and $\nabla^{(7)}R$ is needed for invariant
classification. Thus, our class proves that the bound of 7 on the order of the
covariant derivative, first established by Karlhede, is sharp. Our finding
corrects an outstanding assertion that invariant classification of
four-dimensional Lorentzian manifolds requires at most $\nabla^{(6)}R$.
| gr-qc math.DG | we present a family of fourdimensional lorentzian manifolds whose invariant classification requires the seventh covariant derivative of the curvature tensor the spacetimes in questions are null radiation type n solutions on an antide sitter background the large order of the bound is due to the fact that these spacetimes are properly ch_2 ie curvature homogeneous of order 2 but nonhomogeneous this means that tetrad components of r nabla r nabla2r are constant and that essential coordinates first appear as components of nabla3r covariant derivatives of orders 456 yield one additional invariant each and nabla7r is needed for invariant classification thus our class proves that the bound of 7 on the order of the covariant derivative first established by karlhede is sharp our finding corrects an outstanding assertion that invariant classification of fourdimensional lorentzian manifolds requires at most nabla6r | [['we', 'present', 'a', 'family', 'of', 'fourdimensional', 'lorentzian', 'manifolds', 'whose', 'invariant', 'classification', 'requires', 'the', 'seventh', 'covariant', 'derivative', 'of', 'the', 'curvature', 'tensor', 'the', 'spacetimes', 'in', 'questions', 'are', 'null', 'radiation', 'type', 'n', 'solutions', 'on', 'an', 'antide', 'sitter', 'background', 'the', 'large', 'order', 'of', 'the', 'bound', 'is', 'due', 'to', 'the', 'fact', 'that', 'these', 'spacetimes', 'are', 'properly', 'ch_2', 'ie', 'curvature', 'homogeneous', 'of', 'order', '2', 'but', 'nonhomogeneous', 'this', 'means', 'that', 'tetrad', 'components', 'of', 'r', 'nabla', 'r', 'nabla2r', 'are', 'constant', 'and', 'that', 'essential', 'coordinates', 'first', 'appear', 'as', 'components', 'of', 'nabla3r', 'covariant', 'derivatives', 'of', 'orders', '456', 'yield', 'one', 'additional', 'invariant', 'each', 'and', 'nabla7r', 'is', 'needed', 'for', 'invariant', 'classification', 'thus', 'our', 'class', 'proves', 'that', 'the', 'bound', 'of', '7', 'on', 'the', 'order', 'of', 'the', 'covariant', 'derivative', 'first', 'established', 'by', 'karlhede', 'is', 'sharp', 'our', 'finding', 'corrects', 'an', 'outstanding', 'assertion', 'that', 'invariant', 'classification', 'of', 'fourdimensional', 'lorentzian', 'manifolds', 'requires', 'at', 'most', 'nabla6r']] | [-0.18560757166849373, 0.11286965155224281, -0.05945931496828405, 0.06766671948517158, -0.11426574628410945, -0.1309375700144681, -0.0998309886112545, 0.32577262209978564, -0.17358902314027994, -0.2759907536848045, 0.10888204375827518, -0.2850000599343608, -0.14080453963095405, 0.1350102677260206, -0.07136205652704351, 0.0570128867515613, 0.00250321097234125, 0.09235577226213332, -0.09718098160081001, -0.2952888676750738, 0.4147821930402181, 0.022871905367877057, 0.2427335070835343, 0.023128591547372627, 0.13635308877912475, -0.03086831589201604, -0.05454144177874967, 0.013908879114697173, -0.1377524144564944, 0.1470740555191357, 0.24739504586766237, 0.07350644089086954, 0.19248038895928593, -0.35628464706798096, -0.1972196641206088, 0.09459700925386887, 0.13407181466429202, 0.08395423043046647, 0.0009830820794676, -0.2858069469985455, 0.09563830969750937, -0.11032536578427221, -0.1812920602170556, -0.12624354895252957, 0.05105447951085699, -0.06767289693564621, -0.2302222763598243, 0.11412202395192945, 0.1357007091795442, 0.027034854846519987, -0.09501167887877394, -0.10697535140293915, -0.036748114236588796, 0.07312070676334091, 0.07832139605176705, 0.07254085324986129, 0.07136826223082174, -0.07672004293782442, -0.1021766390672315, 0.3667835693041023, -0.09526147723020707, -0.24878133401802893, 0.12878001193557656, -0.15027661614707297, -0.15409583813830544, 0.13479443675796166, 0.10351915871237975, 0.20946211033194923, -0.12068993473901594, 0.16444600053016903, -0.00495481977687537, 0.13091760807767955, 0.130091031307855, 0.025660467719826014, 0.18131408057133877, 0.05334556445743499, 0.11887000469087342, 0.09340874790457258, -0.01676650465910893, -0.06956540891612227, -0.43642052574736523, -0.18661577252535594, -0.15949565144394762, 0.11720023956149817, -0.1490750107416838, -0.18874441031644593, 0.36759450650815645, 0.048456863206967626, 0.15229315951652478, 0.08123031216882058, 0.24960205714051514, 0.09231124220002415, 0.05353695897336827, 0.11547897334571984, 0.23330989941509803, 0.15163703231008918, 0.04715102644195891, -0.158055982046844, -0.015449306219138566, 0.11384153805339514] |
710.0689 | Convexity and Cone-Vexing | The idea of convexity feeds generation, separation, calculus, and
approximation. Generation appears as duality; separation, as optimality;
calculus, as representation; and approximation, as stability. This is an
overview of the origin, evolution, and trends of convexity. Study of convexity
in the Sobolev Institute was initiated by Leonid Kantorovich (1912--1986) and
Alexandr Alexandrov (1912--1999). This talk is a part of their memory.
| math.FA math.HO | the idea of convexity feeds generation separation calculus and approximation generation appears as duality separation as optimality calculus as representation and approximation as stability this is an overview of the origin evolution and trends of convexity study of convexity in the sobolev institute was initiated by leonid kantorovich 19121986 and alexandr alexandrov 19121999 this talk is a part of their memory | [['the', 'idea', 'of', 'convexity', 'feeds', 'generation', 'separation', 'calculus', 'and', 'approximation', 'generation', 'appears', 'as', 'duality', 'separation', 'as', 'optimality', 'calculus', 'as', 'representation', 'and', 'approximation', 'as', 'stability', 'this', 'is', 'an', 'overview', 'of', 'the', 'origin', 'evolution', 'and', 'trends', 'of', 'convexity', 'study', 'of', 'convexity', 'in', 'the', 'sobolev', 'institute', 'was', 'initiated', 'by', 'leonid', 'kantorovich', '19121986', 'and', 'alexandr', 'alexandrov', '19121999', 'this', 'talk', 'is', 'a', 'part', 'of', 'their', 'memory']] | [-0.12927593420243869, 0.048418680847458685, -0.14493401234937928, 0.1394433480513803, -0.11141232478479712, -0.06654675482472373, 0.0026905278722613546, 0.3095790901994806, -0.31301684022518034, -0.30242525641727497, 0.19944774905038146, -0.25346272874434117, -0.13733794691704088, 0.07866147875596406, -0.12200783472508192, 0.013242229361529067, 0.014166901929903839, -0.02355358928000018, -0.0750706540736354, -0.19906616463499555, 0.3197562790207438, 0.09785680213974694, 0.2660903700911519, 0.12503054835912536, 0.09415892790213733, 0.03044382567217542, -0.043523610380115145, -0.038838952416711946, -0.10929606206146843, 0.16443497491053352, 0.24338721200602792, 0.1650253419401282, 0.3617851616720022, -0.36428031982001613, -0.1561554019986573, 0.03766082377978048, 0.10324160997574297, -0.013252522449119616, -0.076395648563186, -0.28495146987872927, 0.026477719949147965, -0.1436180096845758, -0.1655128323315185, -0.05830027623091217, 0.037347267729119726, 0.07301292203414111, -0.21646305151141676, 0.037107319776284495, 0.16265361841326043, 0.09036002382320368, -0.1272714085150826, -0.07755224942624317, 0.03552537105219849, 0.06642234448138308, 0.055037637833127026, 0.11739179989622937, 0.08985847976429671, -0.08991611808128024, -0.1483584147704355, 0.3646411169320345, -0.07313041049608235, -0.15144186978370455, 0.1260179847960313, -0.1070327596912571, -0.12116620459167635, 0.0180944279783358, 0.16533765626155725, 0.13687578035060757, -0.14715538515661986, 0.14137159420129985, 0.0022885937054278487, 0.10796335399529691, 0.16578317617097774, 0.08882356075159574, 0.13428844356814684, 0.2021494420024298, 0.10628473643466073, 0.17739072757264032, -0.05108711968710788, -0.16192037340695575, -0.3762776498671451, -0.19467418685050333, -0.17757061824707662, 0.0982728405674067, -0.05199851921929236, -0.14225639627015185, 0.3449274256067761, 0.06563124985639322, 0.11775682413540149, 0.08691311848618216, 0.2825426612428184, 0.09373166421586174, 0.02144916519380601, 0.025762063206441827, 0.2149106837588094, 0.2427835008642494, 0.2192810995393764, -0.16465528186221243, 0.11670547556842409, 0.22241059202953414] |
710.069 | Deblurring of Motionally Averaged Images with Applications to
Single-Particle Cryo-Electron Microscopy | This paper addresses the deconvolution of an image that has been obtained by
superimposing many copies of an underlying unknown image of interest. The
superposition is assumed to not be exact due to noise, and is described using
an error distribution in position, orientation, or both. We assume that a good
estimate of the error distribution is known. The most natural approach to take
for the purely translational case is to apply the Fourier transform and use the
classical convolution theorem together with a Weiner filter to invert. In the
case of purely rotational deblurring, the similar Fourier analysis is applied.
That is, for an blurred image function defined on polar coordinates, the
Fourier series and the convolution theorem for the series can be applied. In
the case of combinations of translational and rotational errors, the
motion-group Fourier transform is used. In addition, for the three cases we
present the alternative method using Hermite and Laguerre-Fourier expansion,
which has a special property in Fourier transform. The problem that is solved
here is motivated by one of the steps in the cryo-electron-tomographic
reconstruction of biomolecular complexes such as viruses and ion channels.
| math.NA | this paper addresses the deconvolution of an image that has been obtained by superimposing many copies of an underlying unknown image of interest the superposition is assumed to not be exact due to noise and is described using an error distribution in position orientation or both we assume that a good estimate of the error distribution is known the most natural approach to take for the purely translational case is to apply the fourier transform and use the classical convolution theorem together with a weiner filter to invert in the case of purely rotational deblurring the similar fourier analysis is applied that is for an blurred image function defined on polar coordinates the fourier series and the convolution theorem for the series can be applied in the case of combinations of translational and rotational errors the motiongroup fourier transform is used in addition for the three cases we present the alternative method using hermite and laguerrefourier expansion which has a special property in fourier transform the problem that is solved here is motivated by one of the steps in the cryoelectrontomographic reconstruction of biomolecular complexes such as viruses and ion channels | [['this', 'paper', 'addresses', 'the', 'deconvolution', 'of', 'an', 'image', 'that', 'has', 'been', 'obtained', 'by', 'superimposing', 'many', 'copies', 'of', 'an', 'underlying', 'unknown', 'image', 'of', 'interest', 'the', 'superposition', 'is', 'assumed', 'to', 'not', 'be', 'exact', 'due', 'to', 'noise', 'and', 'is', 'described', 'using', 'an', 'error', 'distribution', 'in', 'position', 'orientation', 'or', 'both', 'we', 'assume', 'that', 'a', 'good', 'estimate', 'of', 'the', 'error', 'distribution', 'is', 'known', 'the', 'most', 'natural', 'approach', 'to', 'take', 'for', 'the', 'purely', 'translational', 'case', 'is', 'to', 'apply', 'the', 'fourier', 'transform', 'and', 'use', 'the', 'classical', 'convolution', 'theorem', 'together', 'with', 'a', 'weiner', 'filter', 'to', 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710.0691 | Pion mass difference from vacuum polarization | We calculate the electromagnetic contribution to the pion mass difference,
$\Delta m^2_\pi=m^2_{\pi^+}-m^2_{\pi^0}$, in the chiral limit through the
$VV-AA$ type vacuum polarization using Das-Guralnik-Mathur-Low-Young (DGMLY)
sum rule. The calculation is made with two-flavors of dynamical overlap
fermions on a $16^3\times 32$ lattice at $a\sim$0.12 fm. The exact chiral
symmetry of the overlap fermion is essential to control the systematic error in
the difference $VV-AA$. We obtain $\Delta m_\pi^2 = 1024(100) {\rm MeV^2}$
combining the lattice data with the perturbative contribution in the high
momentum region evaluated by the operator product expansion. By analyzing the
momentum dependence of the vacuum polarization, we also obtain pion decay
constant $f_\pi$ and the low-energy constants $L_{10}^r$ in the chiral limit.
| hep-lat hep-ph | we calculate the electromagnetic contribution to the pion mass difference delta m2_pim2_pim2_pi0 in the chiral limit through the vvaa type vacuum polarization using dasguralnikmathurlowyoung dgmly sum rule the calculation is made with twoflavors of dynamical overlap fermions on a 163times 32 lattice at asim012 fm the exact chiral symmetry of the overlap fermion is essential to control the systematic error in the difference vvaa we obtain delta m_pi2 1024100 rm mev2 combining the lattice data with the perturbative contribution in the high momentum region evaluated by the operator product expansion by analyzing the momentum dependence of the vacuum polarization we also obtain pion decay constant f_pi and the lowenergy constants l_10r in the chiral limit | [['we', 'calculate', 'the', 'electromagnetic', 'contribution', 'to', 'the', 'pion', 'mass', 'difference', 'delta', 'm2_pim2_pim2_pi0', 'in', 'the', 'chiral', 'limit', 'through', 'the', 'vvaa', 'type', 'vacuum', 'polarization', 'using', 'dasguralnikmathurlowyoung', 'dgmly', 'sum', 'rule', 'the', 'calculation', 'is', 'made', 'with', 'twoflavors', 'of', 'dynamical', 'overlap', 'fermions', 'on', 'a', '163times', '32', 'lattice', 'at', 'asim012', 'fm', 'the', 'exact', 'chiral', 'symmetry', 'of', 'the', 'overlap', 'fermion', 'is', 'essential', 'to', 'control', 'the', 'systematic', 'error', 'in', 'the', 'difference', 'vvaa', 'we', 'obtain', 'delta', 'm_pi2', '1024100', 'rm', 'mev2', 'combining', 'the', 'lattice', 'data', 'with', 'the', 'perturbative', 'contribution', 'in', 'the', 'high', 'momentum', 'region', 'evaluated', 'by', 'the', 'operator', 'product', 'expansion', 'by', 'analyzing', 'the', 'momentum', 'dependence', 'of', 'the', 'vacuum', 'polarization', 'we', 'also', 'obtain', 'pion', 'decay', 'constant', 'f_pi', 'and', 'the', 'lowenergy', 'constants', 'l_10r', 'in', 'the', 'chiral', 'limit']] | [-0.1527807347241554, 0.21611927788671073, -0.06356335125091644, 0.08030291127150056, -0.029475931548052007, -0.03998012490977475, 0.10387675978897794, 0.3425985663323789, -0.19193370321446712, -0.2510959754828028, 0.032662710588140124, -0.31259501313052335, -0.00816329815718639, 0.08474801316320359, 0.09406931752623227, 0.058582340252820636, 0.0009137023458475465, 0.04820809697916916, -0.13565010126461988, -0.16365919560445724, 0.3254402391151064, 0.017747945865398056, 0.2737412277760135, 0.15232581221960015, 0.0636042907072634, 0.023377937359131268, -0.019732935102404776, -0.07785836471295035, -0.1720645550915317, 0.06959789655137774, 0.16917859332275217, -0.05286154431827903, 0.11974004951834276, -0.3244970337831759, -0.10579535628664768, 0.06626831355865474, 0.14264196325261314, 0.12176392432553945, 0.00016880379717058695, -0.26964282709685666, 0.06183479595006452, -0.1814185224372793, -0.19066967298213794, -0.10986420163163194, -0.01866373036115489, -0.058615761901344265, -0.31624546858507235, 0.1483750662361041, -0.045911724449749954, 0.05742855186297281, -0.031168898657752988, -0.20531429383937302, -0.01969643965204087, 0.09286735208939996, 0.1044231189419054, 0.09924211062759429, 0.11534332481175158, -0.13834641166115264, -0.0910969046405978, 0.3924322825487334, -0.1237423542314335, -0.18976921517913742, 0.02734809180906227, -0.1961254870554701, -0.10087601776310318, 0.15265616139413807, 0.10641581119407338, 0.06612534031506863, -0.14036525283344425, 0.14245707503056387, -0.01322929730622081, 0.18362007677651573, 0.10039165441517357, 0.060645479906081885, 0.19933961654451113, 0.13200533788584107, -0.00416008860443358, 0.09492532788515762, -0.07547114944496604, -0.10171783419309167, -0.3583609593847582, -0.08518748591876345, -0.1848726416770201, 0.10490630409336305, -0.13861150716233217, -0.1261942598733816, 0.3586957694140372, 0.1001358766586998, 0.1988090322204018, 0.01914695635656113, 0.2757524814611922, 0.14673095792091476, 0.0970929008111492, 0.05519314389885613, 0.30490823852544363, 0.1928450732391227, 0.11187062704063079, -0.35550264833780293, -0.08751920445377494, 0.12418824189703341] |
710.0692 | Entanglement renormalization in fermionic systems | We demonstrate, in the context of quadratic fermion lattice models in one and
two spatial dimensions, the potential of entanglement renormalization (ER) to
define a proper real-space renormalization group transformation. Our results
show, for the first time, the validity of the multi-scale entanglement
renormalization ansatz (MERA) to describe ground states in two dimensions, even
at a quantum critical point. They also unveil a connection between the
performance of ER and the logarithmic violations of the boundary law for
entanglement in systems with a one-dimensional Fermi surface. ER is recast in
the language of creation/annihilation operators and correlation matrices.
| quant-ph | we demonstrate in the context of quadratic fermion lattice models in one and two spatial dimensions the potential of entanglement renormalization er to define a proper realspace renormalization group transformation our results show for the first time the validity of the multiscale entanglement renormalization ansatz mera to describe ground states in two dimensions even at a quantum critical point they also unveil a connection between the performance of er and the logarithmic violations of the boundary law for entanglement in systems with a onedimensional fermi surface er is recast in the language of creationannihilation operators and correlation matrices | [['we', 'demonstrate', 'in', 'the', 'context', 'of', 'quadratic', 'fermion', 'lattice', 'models', 'in', 'one', 'and', 'two', 'spatial', 'dimensions', 'the', 'potential', 'of', 'entanglement', 'renormalization', 'er', 'to', 'define', 'a', 'proper', 'realspace', 'renormalization', 'group', 'transformation', 'our', 'results', 'show', 'for', 'the', 'first', 'time', 'the', 'validity', 'of', 'the', 'multiscale', 'entanglement', 'renormalization', 'ansatz', 'mera', 'to', 'describe', 'ground', 'states', 'in', 'two', 'dimensions', 'even', 'at', 'a', 'quantum', 'critical', 'point', 'they', 'also', 'unveil', 'a', 'connection', 'between', 'the', 'performance', 'of', 'er', 'and', 'the', 'logarithmic', 'violations', 'of', 'the', 'boundary', 'law', 'for', 'entanglement', 'in', 'systems', 'with', 'a', 'onedimensional', 'fermi', 'surface', 'er', 'is', 'recast', 'in', 'the', 'language', 'of', 'creationannihilation', 'operators', 'and', 'correlation', 'matrices']] | [-0.1548655178571329, 0.13407453842822234, -0.11679556956799815, 0.0813544574348085, 0.008641732854255455, -0.15428635723204637, 0.04831726550586683, 0.3274917014380347, -0.25081121820804414, -0.24155951913788307, 0.025855445088010888, -0.3070022916535334, -0.16024847243133247, 0.13319221755717786, 0.02140741214650322, 0.09571878486895002, 0.01654286366146134, 0.05825078113916881, -0.14557132242622842, -0.23588291369378567, 0.3647345023381771, 0.007884691097555036, 0.31641186047725534, 0.10142624997818957, 0.07736432476786478, 0.01413896810548494, -0.002558991550562941, 0.03224715727799553, -0.09256625572713661, 0.10731716786822475, 0.2579354478481148, 0.03231395207635336, 0.2317767887737374, -0.40200111184421244, -0.24004027999139257, 0.06755995196147765, 0.12288102537526616, 0.1290754629346561, -0.01596469710561998, -0.3118026107074503, 0.019629149147718003, -0.18111476379598737, -0.1501603480903622, -0.12631802932758415, 0.006173661453839467, -0.058675153494565466, -0.24095645311112723, 0.09935252561348423, 0.03411092067004314, 0.07127958325174999, -0.029708781000167342, -0.018432241408344433, -0.014558665684842485, 0.1256859342482093, 0.019491369013106736, -0.022690101702488502, 0.07440844603472066, -0.1368024537425336, -0.14117245739551584, 0.38147206661500493, -0.053164595438699634, -0.2093907008327696, 0.2005027855879494, -0.15719942980189333, -0.15985719183916036, 0.03902670844667116, 0.13926344858577513, 0.0786340230169655, -0.14239974667755317, 0.14090438109017167, -0.02756622610304847, 0.14798634264461355, 0.041349854774069876, 0.063156540895223, 0.1644638589398023, 0.10279969732771266, 0.06984654233353782, 0.15739475254786714, -0.058755549400265575, -0.15106537963301703, -0.32923106600207336, -0.22342336528022222, -0.24138802324887365, 0.04766120177536861, -0.15729668969719085, -0.15995852185451254, 0.4376075424215927, 0.13364108671358196, 0.20240918334991653, 0.06960298610157428, 0.19979329717497588, 0.11068972845309966, 0.08031729551754435, 0.07791037467303591, 0.21083716613867756, 0.1314135168498496, 0.06524938176509601, -0.29360393396274626, -0.04445128162790622, 0.14592341518941887] |
710.0693 | Scaling analysis of normal state properties of high-temperature
superconductors | We propose a model-independent scaling method to study the physical
properties of high-temperature superconductors in the normal state. We have
analyze the experimental data of the c-axis resistivity, the in-plane
resistivity, the Hall coefficient, the magnetic susceptibility, the
spin-lattice relaxation rate, and the thermoelectric power using this method.
It is shown that all these physical quantities exhibit good scaling behaviors,
controlled purely by the pseudogap energy scale in the normal state. The doping
dependence of the pseudogap obtained from this scaling analysis agrees with the
experimental results of angle-resolved photoemission and other measurements. It
sheds light on the understanding of the basic electronic structure of high-Tc
oxides.
| cond-mat.supr-con cond-mat.str-el | we propose a modelindependent scaling method to study the physical properties of hightemperature superconductors in the normal state we have analyze the experimental data of the caxis resistivity the inplane resistivity the hall coefficient the magnetic susceptibility the spinlattice relaxation rate and the thermoelectric power using this method it is shown that all these physical quantities exhibit good scaling behaviors controlled purely by the pseudogap energy scale in the normal state the doping dependence of the pseudogap obtained from this scaling analysis agrees with the experimental results of angleresolved photoemission and other measurements it sheds light on the understanding of the basic electronic structure of hightc oxides | [['we', 'propose', 'a', 'modelindependent', 'scaling', 'method', 'to', 'study', 'the', 'physical', 'properties', 'of', 'hightemperature', 'superconductors', 'in', 'the', 'normal', 'state', 'we', 'have', 'analyze', 'the', 'experimental', 'data', 'of', 'the', 'caxis', 'resistivity', 'the', 'inplane', 'resistivity', 'the', 'hall', 'coefficient', 'the', 'magnetic', 'susceptibility', 'the', 'spinlattice', 'relaxation', 'rate', 'and', 'the', 'thermoelectric', 'power', 'using', 'this', 'method', 'it', 'is', 'shown', 'that', 'all', 'these', 'physical', 'quantities', 'exhibit', 'good', 'scaling', 'behaviors', 'controlled', 'purely', 'by', 'the', 'pseudogap', 'energy', 'scale', 'in', 'the', 'normal', 'state', 'the', 'doping', 'dependence', 'of', 'the', 'pseudogap', 'obtained', 'from', 'this', 'scaling', 'analysis', 'agrees', 'with', 'the', 'experimental', 'results', 'of', 'angleresolved', 'photoemission', 'and', 'other', 'measurements', 'it', 'sheds', 'light', 'on', 'the', 'understanding', 'of', 'the', 'basic', 'electronic', 'structure', 'of', 'hightc', 'oxides']] | [-0.15570358578093943, 0.1613488727614771, -0.11516836383510555, 0.022454035088689737, -0.07365450736083021, -0.12437609125964483, 0.11136672770273741, 0.3607390358800364, -0.2920969900126769, -0.2572437921347462, -0.004063501146787377, -0.3499573881337506, -0.14106360556357583, 0.25417874142457947, 0.04928692745340762, 0.09113570774043693, -0.053296094090094635, -0.03765944644338756, -0.1562197780058171, -0.22035457859485993, 0.3065910651000373, 0.049841831493731066, 0.39489657672069894, 0.09943535686340009, 0.03626401779986048, -0.025838927750989237, 0.07253048824424917, 0.033630300326290254, -0.19064413349474094, 0.060435666933342395, 0.26090221959449106, -0.0477453424490849, 0.14274501911294865, -0.4078980551458129, -0.23093162439589468, -0.025815797438758, 0.08695424315911308, 0.10946579580494446, -0.060527352630334826, -0.2432701684987155, 0.024866374174707405, -0.11862589502446005, -0.11528503715830951, -0.1748921924366433, -0.061654603345946316, -0.011290468730328379, -0.19697404715339176, 0.16311683677241345, 0.03287669840033784, 0.11247012793808897, -0.1342475322297139, -0.13383193656140677, -0.020409711649658803, 0.05478328093015981, 0.11725571834064463, 0.028512402039421635, 0.16030606075797108, -0.1300555596685159, -0.10698284145235737, 0.3286963993961984, -0.019989515558999277, -0.056932272511386425, 0.13579626498682965, -0.24674244703742387, -0.09183325722517673, 0.10224906956150293, 0.0952472817936094, 0.08199771239518006, -0.1617947996525468, 0.08074685481537969, -0.0725014669533436, 0.18387520631827484, -0.02416690593916122, 0.11498398518366043, 0.19775114967444232, 0.24111800868320932, -0.023681771874027414, 0.12377481756864603, -0.11385240197991169, -0.013467266106821387, -0.2566507733252909, -0.16015923441013444, -0.21738403785873692, 0.10160036285943135, -0.11941120399692026, -0.17402294535319338, 0.428894567905836, 0.1874265908394183, 0.24048943694889824, -0.030444976808416232, 0.2774648684224932, 0.1308777054595526, 0.06935990959075149, 0.06665629993201555, 0.2563581875151145, 0.1697338511927976, 0.1698427652966266, -0.40336349765143453, 0.14354773495067782, 0.017751186207006466] |
710.0694 | Gain Stabilization of a Submillimeter SIS Heterodyne Receiver | We have designed a system to stabilize the gain of a submillimeter heterodyne
receiver against thermal fluctuations of the mixing element. In the most
sensitive heterodyne receivers, the mixer is usually cooled to 4 K using a
closed-cycle cryocooler, which can introduce ~1% fluctuations in the physical
temperature of the receiver components. We compensate for the resulting mixer
conversion gain fluctuations by monitoring the physical temperature of the
mixer and adjusting the gain of the intermediate frequency (IF) amplifier that
immediately follows the mixer. This IF power stabilization scheme, developed
for use at the Submillimeter Array (SMA), a submillimeter interferometer
telescope on Mauna Kea in Hawaii, routinely achieves a receiver gain stability
of 1 part in 6,000 (rms to mean). This is an order of magnitude improvement
over the typical uncorrected stability of 1 part in a few hundred. Our gain
stabilization scheme is a useful addition to SIS heterodyne receivers that are
cooled using closed-cycle cryocoolers in which the 4 K temperature fluctuations
tend to be the leading cause of IF power fluctuations.
| astro-ph | we have designed a system to stabilize the gain of a submillimeter heterodyne receiver against thermal fluctuations of the mixing element in the most sensitive heterodyne receivers the mixer is usually cooled to 4 k using a closedcycle cryocooler which can introduce 1 fluctuations in the physical temperature of the receiver components we compensate for the resulting mixer conversion gain fluctuations by monitoring the physical temperature of the mixer and adjusting the gain of the intermediate frequency if amplifier that immediately follows the mixer this if power stabilization scheme developed for use at the submillimeter array sma a submillimeter interferometer telescope on mauna kea in hawaii routinely achieves a receiver gain stability of 1 part in 6000 rms to mean this is an order of magnitude improvement over the typical uncorrected stability of 1 part in a few hundred our gain stabilization scheme is a useful addition to sis heterodyne receivers that are cooled using closedcycle cryocoolers in which the 4 k temperature fluctuations tend to be the leading cause of if power fluctuations | [['we', 'have', 'designed', 'a', 'system', 'to', 'stabilize', 'the', 'gain', 'of', 'a', 'submillimeter', 'heterodyne', 'receiver', 'against', 'thermal', 'fluctuations', 'of', 'the', 'mixing', 'element', 'in', 'the', 'most', 'sensitive', 'heterodyne', 'receivers', 'the', 'mixer', 'is', 'usually', 'cooled', 'to', '4', 'k', 'using', 'a', 'closedcycle', 'cryocooler', 'which', 'can', 'introduce', '1', 'fluctuations', 'in', 'the', 'physical', 'temperature', 'of', 'the', 'receiver', 'components', 'we', 'compensate', 'for', 'the', 'resulting', 'mixer', 'conversion', 'gain', 'fluctuations', 'by', 'monitoring', 'the', 'physical', 'temperature', 'of', 'the', 'mixer', 'and', 'adjusting', 'the', 'gain', 'of', 'the', 'intermediate', 'frequency', 'if', 'amplifier', 'that', 'immediately', 'follows', 'the', 'mixer', 'this', 'if', 'power', 'stabilization', 'scheme', 'developed', 'for', 'use', 'at', 'the', 'submillimeter', 'array', 'sma', 'a', 'submillimeter', 'interferometer', 'telescope', 'on', 'mauna', 'kea', 'in', 'hawaii', 'routinely', 'achieves', 'a', 'receiver', 'gain', 'stability', 'of', '1', 'part', 'in', '6000', 'rms', 'to', 'mean', 'this', 'is', 'an', 'order', 'of', 'magnitude', 'improvement', 'over', 'the', 'typical', 'uncorrected', 'stability', 'of', '1', 'part', 'in', 'a', 'few', 'hundred', 'our', 'gain', 'stabilization', 'scheme', 'is', 'a', 'useful', 'addition', 'to', 'sis', 'heterodyne', 'receivers', 'that', 'are', 'cooled', 'using', 'closedcycle', 'cryocoolers', 'in', 'which', 'the', '4', 'k', 'temperature', 'fluctuations', 'tend', 'to', 'be', 'the', 'leading', 'cause', 'of', 'if', 'power', 'fluctuations']] | [-0.14354451209836608, 0.13634977201556844, -0.08222147035305442, -0.03678575077498246, -0.027724659327289153, -0.1841304576661352, 0.034023065402322375, 0.38303583518912393, -0.2141727707248406, -0.29258354201019027, 0.16924870721915544, -0.27751985270042917, -0.06862888123904323, 0.19299701973260647, -0.04545919751298839, -0.010821190793147504, -0.006154759790368335, -0.034252554206338166, -0.029533688502851874, -0.20386029903953573, 0.23637663266867742, 0.14756449617929865, 0.3031704465620455, 0.003880943617938707, 0.1685418507041431, -0.10171738422299124, 0.030748062239874197, -0.01897882651965851, -0.09432529317974127, 0.009973249245627687, 0.29461673099879476, 0.055993052266388274, 0.252125209834341, -0.36184480851623174, -0.19791657456742792, 0.09392099742959628, 0.10968550618559968, 0.07622594766093996, 0.01022369755985986, -0.23866716662927628, 0.08588599113027576, -0.17258033960864977, -0.1227757954132347, -0.0011604635804977226, -0.05268996562434082, 0.034315086360592606, -0.2913160176102029, 0.012899836578845292, 0.007254249786612867, 0.09508278889945526, -0.013128351559327251, -0.1406292380897553, -0.004016458491082892, 0.12147495546110573, -0.0881782043711871, 0.0362592491912709, 0.17629071285188114, -0.09474057109823086, -0.028882587232209486, 0.33311688572023834, -0.13550270483333982, -0.12333309078514147, 0.12263277242088626, -0.17284289889048313, -0.08144454437243784, 0.22926811568021518, 0.15730992280717554, 0.062230444079380075, -0.12038121193088056, -0.02253255246765109, 0.0493638965792301, 0.2912928913706571, 0.1280610689481228, 0.09103177537627775, 0.19587648592503934, 0.19233684626209882, 0.10154132610289801, 0.1839005018232508, -0.20705557535750385, -0.03339515927772241, -0.2714692720629532, -0.11832911431275565, -0.17327823619700797, 0.07362178019943764, -0.08502045458163625, -0.06778474424794402, 0.37974095266544355, 0.1845879897477919, 0.11175305899446723, 0.03784468416633063, 0.4203697512857616, 0.10096524369129482, 0.09442711991375718, 0.04540631843158097, 0.30511990222202123, 0.15124422260533332, 0.16030297705859492, -0.24000110216278198, 0.0006055051872999161, -0.02474740607899496] |
710.0695 | Exciton spectroscopy of hexagonal boron nitride using non-resonant x-ray
Raman scattering | We report non-resonant x-ray Raman scattering (XRS) measurements from
hexagonal boron nitride for transferred momentum from 2 to 9
$\mathrm{\AA}^{-1}$ along directions both in and out of the basal plane. A
symmetry-based argument, together with real-space full multiple scattering
calculations of the projected density of states in the spherical harmonics
basis, reveals that a strong pre-edge feature is a dominantly $Y_{10}$-type
Frenkel exciton with no other \textit{s}-, \textit{p}-, or \textit{d}-
components. This conclusion is supported by a second, independent calculation
of the \textbf{q}-dependent XRS cross-section based on the Bethe-Salpeter
equation.
| cond-mat.mtrl-sci | we report nonresonant xray raman scattering xrs measurements from hexagonal boron nitride for transferred momentum from 2 to 9 mathrmaa1 along directions both in and out of the basal plane a symmetrybased argument together with realspace full multiple scattering calculations of the projected density of states in the spherical harmonics basis reveals that a strong preedge feature is a dominantly y_10type frenkel exciton with no other textits textitp or textitd components this conclusion is supported by a second independent calculation of the textbfqdependent xrs crosssection based on the bethesalpeter equation | [['we', 'report', 'nonresonant', 'xray', 'raman', 'scattering', 'xrs', 'measurements', 'from', 'hexagonal', 'boron', 'nitride', 'for', 'transferred', 'momentum', 'from', '2', 'to', '9', 'mathrmaa1', 'along', 'directions', 'both', 'in', 'and', 'out', 'of', 'the', 'basal', 'plane', 'a', 'symmetrybased', 'argument', 'together', 'with', 'realspace', 'full', 'multiple', 'scattering', 'calculations', 'of', 'the', 'projected', 'density', 'of', 'states', 'in', 'the', 'spherical', 'harmonics', 'basis', 'reveals', 'that', 'a', 'strong', 'preedge', 'feature', 'is', 'a', 'dominantly', 'y_10type', 'frenkel', 'exciton', 'with', 'no', 'other', 'textits', 'textitp', 'or', 'textitd', 'components', 'this', 'conclusion', 'is', 'supported', 'by', 'a', 'second', 'independent', 'calculation', 'of', 'the', 'textbfqdependent', 'xrs', 'crosssection', 'based', 'on', 'the', 'bethesalpeter', 'equation']] | [-0.13517840127072608, 0.14408759565103327, -0.0920981887042865, -0.0069639693621824355, -0.033941341668431615, -0.08747483258959891, 0.08857600586809988, 0.4056269693584449, -0.2142231273197237, -0.2154483607831015, -0.02970595488421105, -0.3653720819616112, -0.09777228228865598, 0.1749913850424533, 0.11272063225055456, 0.015052351372680444, 0.05894346423607705, -0.05358378863465255, -0.08198131240593891, -0.1483372169059712, 0.3029230626797753, 0.038928510784439145, 0.3085778061321926, 0.0960356665542851, 0.03573395940742787, 0.10136429296710112, -0.009700520172843645, -0.03462995729013078, -0.09347771227819077, 0.1347429442892504, 0.2199411345217591, -0.03560407020510562, 0.16409512656344766, -0.44921628818258474, -0.18650322360382682, -0.030379712951621146, 0.15649538290226597, 0.12285577618227951, -0.06070961884420965, -0.26980094881407146, 0.015918364646662582, -0.12491345707455585, -0.1375324847551341, -0.04841772403204064, -0.0023781071020953955, 0.005752790922662993, -0.23507158205063008, 0.12137056366893752, 0.023431644882021964, 0.05544793808318597, -0.1208272058083194, -0.15093440207854802, -0.12740839346601018, -0.010709968498565427, 0.03150045056559745, 0.06080603331391667, 0.14774030688400755, -0.04945800565557833, -0.11217129398297904, 0.3764448209355275, -0.059781379449106324, -0.13093570968799892, 0.14263432650109645, -0.19304921226602734, -0.11133223303711448, 0.2126690461942605, 0.110115290520413, 0.10388252510683847, -0.13054141431080776, 0.07241894473822189, -0.04619814531923467, 0.23857408280259576, 0.10669878932336967, 0.013249471541440606, 0.21641386059198486, 0.14375046803482178, 0.014709310998772833, 0.10126301495093402, -0.15807221331847723, -0.028756461700360322, -0.2672083565554496, -0.13427579800073786, -0.21591360816309207, 0.07818382855333474, -0.06469926559188986, -0.168004860737543, 0.37844853755889524, 0.05057337878528854, 0.24142440498389048, -0.044340462236526025, 0.29586502948197824, 0.11643478975379733, 0.07922467717744648, 0.0052382656448017595, 0.288350912945709, 0.19541864752523258, 0.06678573299338506, -0.24299619862061775, 0.014853248758048847, 0.022908699655926776] |
710.0696 | The lowest modes around Gaussian solutions of tensor models and the
general relativity | In the previous paper, the number distribution of the low-lying spectra
around Gaussian solutions representing various dimensional fuzzy tori of a
tensor model was numerically shown to be in accordance with the general
relativity on tori. In this paper, I perform more detailed numerical analysis
of the properties of the modes for two-dimensional fuzzy tori, and obtain
conclusive evidences for the agreement. Under a proposed correspondence between
the rank-three tensor in tensor models and the metric tensor in the general
relativity, conclusive agreement is obtained between the profiles of the
low-lying modes in a tensor model and the metric modes transverse to the
general coordinate transformation. Moreover, the low-lying modes are shown to
be well on a massless trajectory with quartic momentum dependence in the tensor
model. This is in agreement with that the lowest momentum dependence of metric
fluctuations in the general relativity will come from the R^2-term, since the
R-term is topological in two dimensions. These evidences support the idea that
the low-lying low-momentum dynamics around the Gaussian solutions of tensor
models is described by the general relativity. I also propose a renormalization
procedure for tensor models. A classical application of the procedure makes the
patterns of the low-lying spectra drastically clearer, and suggests also the
existence of massive trajectories.
| hep-th gr-qc | in the previous paper the number distribution of the lowlying spectra around gaussian solutions representing various dimensional fuzzy tori of a tensor model was numerically shown to be in accordance with the general relativity on tori in this paper i perform more detailed numerical analysis of the properties of the modes for twodimensional fuzzy tori and obtain conclusive evidences for the agreement under a proposed correspondence between the rankthree tensor in tensor models and the metric tensor in the general relativity conclusive agreement is obtained between the profiles of the lowlying modes in a tensor model and the metric modes transverse to the general coordinate transformation moreover the lowlying modes are shown to be well on a massless trajectory with quartic momentum dependence in the tensor model this is in agreement with that the lowest momentum dependence of metric fluctuations in the general relativity will come from the r2term since the rterm is topological in two dimensions these evidences support the idea that the lowlying lowmomentum dynamics around the gaussian solutions of tensor models is described by the general relativity i also propose a renormalization procedure for tensor models a classical application of the procedure makes the patterns of the lowlying spectra drastically clearer and suggests also the existence of massive trajectories | [['in', 'the', 'previous', 'paper', 'the', 'number', 'distribution', 'of', 'the', 'lowlying', 'spectra', 'around', 'gaussian', 'solutions', 'representing', 'various', 'dimensional', 'fuzzy', 'tori', 'of', 'a', 'tensor', 'model', 'was', 'numerically', 'shown', 'to', 'be', 'in', 'accordance', 'with', 'the', 'general', 'relativity', 'on', 'tori', 'in', 'this', 'paper', 'i', 'perform', 'more', 'detailed', 'numerical', 'analysis', 'of', 'the', 'properties', 'of', 'the', 'modes', 'for', 'twodimensional', 'fuzzy', 'tori', 'and', 'obtain', 'conclusive', 'evidences', 'for', 'the', 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710.0697 | Toroidalization of generating sequences in dimension two function fields
of positive characteristic | We give a characteristic free proof of the main result of our previous paper
(math.AC/0509697) concerning toroidalization of generating sequences of
valuations in dimension two function fields. We show that when an extension of
two dimensional algebraic regular local rings $R\subset S$ satisfies the
conclusions of the Strong Monomialization theorem of Cutkosky and Piltant, the
map between generating sequences in $R$ and $S$ has a toroidal structure.
| math.AC math.AG | we give a characteristic free proof of the main result of our previous paper mathac0509697 concerning toroidalization of generating sequences of valuations in dimension two function fields we show that when an extension of two dimensional algebraic regular local rings rsubset s satisfies the conclusions of the strong monomialization theorem of cutkosky and piltant the map between generating sequences in r and s has a toroidal structure | [['we', 'give', 'a', 'characteristic', 'free', 'proof', 'of', 'the', 'main', 'result', 'of', 'our', 'previous', 'paper', 'mathac0509697', 'concerning', 'toroidalization', 'of', 'generating', 'sequences', 'of', 'valuations', 'in', 'dimension', 'two', 'function', 'fields', 'we', 'show', 'that', 'when', 'an', 'extension', 'of', 'two', 'dimensional', 'algebraic', 'regular', 'local', 'rings', 'rsubset', 's', 'satisfies', 'the', 'conclusions', 'of', 'the', 'strong', 'monomialization', 'theorem', 'of', 'cutkosky', 'and', 'piltant', 'the', 'map', 'between', 'generating', 'sequences', 'in', 'r', 'and', 's', 'has', 'a', 'toroidal', 'structure']] | [-0.20310626516231534, 0.04264920071992409, -0.12154988555773867, 0.05802385504780845, -0.020032889230854133, -0.09844252405067284, -0.0077186224357733, 0.3112230584074771, -0.28803531515101594, -0.21654545913704418, 0.05265707971711615, -0.22679996462256619, -0.15037546250404735, 0.2274211812729129, -0.09129513830835508, -0.049365835560655054, 0.016262101404594654, 0.05577565630135888, -0.05071118928026408, -0.2885875190241319, 0.39381385154344817, -0.040225178017422106, 0.21857463706736313, 0.06668486257055492, 0.10044263171342512, 0.0644242186875393, -0.04477137907154181, 0.015461647967723284, -0.1810413075891671, 0.15587318431811803, 0.20739148856338227, 0.1373004957532623, 0.23314061436703373, -0.3725629441835212, -0.12259585436638162, 0.14783594771429445, 0.08687898249252501, 0.05699934471737255, -0.04695160640756402, -0.21838155518652816, 0.14346792455762625, -0.14034639684144745, -0.1622145465208274, -0.06744960980546294, 0.08193114349816108, 0.06539009649934473, -0.3103259112377242, 0.025293719277463177, 0.22695124316713633, 0.1468269895254211, -0.06883112282605108, -0.10591423882446675, -0.02417528317098252, 0.06663670897824252, 0.046876401781584275, 0.05927529054072996, 0.039132307354135046, -0.09471748813170548, -0.1384897373165145, 0.2965354741000655, -0.07293375610430358, -0.1536853103933743, 0.18112909360647653, -0.16798696808065428, -0.1508798525584015, 0.09093537067317149, 0.06712841179052537, 0.15388147179460662, -0.0538942269598589, 0.1910120774833062, -0.17094123144775178, 0.12285066294399175, 0.13574064030509556, 0.036130043755595885, 0.14249839111598153, 0.058540592792048825, 0.08829687152650546, 0.1690484723146779, -0.019535216241792747, -0.030049491285656888, -0.3554492849913059, -0.17463880484556835, -0.1659546266309917, 0.1269078827039762, -0.11367981560540626, -0.1916373411447487, 0.41606532759033144, 0.10380533181226136, 0.19689206970912038, 0.10235586748317335, 0.23746782524341886, 0.06798233267688898, 0.01789850196589462, 0.04082249694814285, 0.11473559075966477, 0.20776950171090325, 0.0023450122186631866, -0.13170718561829717, -0.007227400748172041, 0.18390017924971427] |
710.0698 | Theoretical progress on V_us on lattice | Recent lattice studies on (semi-)leptonic kaon decays towards a precise
determination of V_us are reviewed. Attention is given to recent unquenched
calculations and consistency of their results with chiral perturbation theory.
| hep-ph | recent lattice studies on semileptonic kaon decays towards a precise determination of v_us are reviewed attention is given to recent unquenched calculations and consistency of their results with chiral perturbation theory | [['recent', 'lattice', 'studies', 'on', 'semileptonic', 'kaon', 'decays', 'towards', 'a', 'precise', 'determination', 'of', 'v_us', 'are', 'reviewed', 'attention', 'is', 'given', 'to', 'recent', 'unquenched', 'calculations', 'and', 'consistency', 'of', 'their', 'results', 'with', 'chiral', 'perturbation', 'theory']] | [-0.06927071167756954, 0.24146517381192215, -0.019752419463569117, 0.018702360970388736, -0.13355024471398322, -0.1069780746925502, 0.0975028726182157, 0.3649823111632178, -0.09845766543801274, -0.16821703639241956, 0.02522410482408539, -0.4179111396473262, -0.05235240902871855, 0.1221775839991507, 0.03411256618282125, 0.21741140769013473, 0.16876682747275598, 0.005708171174891533, -0.17657770399725245, -0.22019291152396508, 0.25585314578887436, 0.05765865098745111, 0.2530090548849154, 0.18698273683267255, -0.1262545929320397, 0.019806115287205866, -0.18383385871927585, -0.05404451861977577, -0.25068460930619507, 0.17494400972200017, 0.17950863648682922, 0.08242974891477535, 0.15863778177768953, -0.4050922925967062, -0.16771849468650837, -0.015005289787246336, 0.12525279454947, 0.22711820762243964, -0.11683299021810413, -0.3531738618208516, 0.1028134570487084, -0.15931980367449503, -0.13331149308191192, -0.23295290762137982, 0.05536189675331116, -0.06305406116429836, -0.37022309305687107, 0.07598202017646644, -0.08392368419276129, 0.1083023331873025, -0.007156372265589814, -0.2870811329133088, 0.04973120062101272, 0.0824956601755994, 0.2072973700405489, 0.17048988365117582, 0.14722371161464723, -0.16150436240939364, -0.19172777439798078, 0.4442011933893927, 0.0025419209512972064, -0.14903594399126427, 0.12200835076791625, -0.2032863275568572, -0.2691243410020346, 0.05158352142860813, 0.16967364190326584, 0.06452478937083675, -0.12313937594092661, 0.11352165818266992, -0.09047716098927683, 0.12035535448305909, 0.011141074085307697, 0.08114598548760818, 0.2285073504693085, 0.23968365741142583, -0.09686128333992054, -0.042027095595615044, 0.04386560678211672, -0.14664350522141303, -0.34074059164812487, -0.01326388321937092, -0.1448252467183216, 0.09771459047952967, -0.06857792917411819, -0.14344154256245784, 0.3549339445007424, 0.08845848384343329, 0.24431766761887458, 0.028822742582809542, 0.3194096825656391, 0.055306841769526084, 0.030430616889779848, -0.060579699629376975, 0.3216359884508194, 0.32936024786003176, 0.12927745230075333, -0.2916560712150268, -0.021846289408483332, 0.1465019811425478] |
710.0699 | Inevitability of Plate Tectonics on Super-Earths | The recent discovery of super-Earths (masses less or equal to 10
earth-masses) has initiated a discussion about conditions for habitable worlds.
Among these is the mode of convection, which influences a planet's thermal
evolution and surface conditions. On Earth, plate tectonics has been proposed
as a necessary condition for life. Here we show, that super-Earths will also
have plate tectonics. We demonstrate that as planetary mass increases, the
shear stress available to overcome resistance to plate motion increases while
the plate thickness decreases, thereby enhancing plate weakness. These effects
contribute favorably to the subduction of the lithosphere, an essential
component of plate tectonics. Moreover, uncertainties in achieving plate
tectonics in the one earth-mass regime disappear as mass increases:
super-Earths, even if dry, will exhibit plate tectonic behaviour.
| astro-ph | the recent discovery of superearths masses less or equal to 10 earthmasses has initiated a discussion about conditions for habitable worlds among these is the mode of convection which influences a planets thermal evolution and surface conditions on earth plate tectonics has been proposed as a necessary condition for life here we show that superearths will also have plate tectonics we demonstrate that as planetary mass increases the shear stress available to overcome resistance to plate motion increases while the plate thickness decreases thereby enhancing plate weakness these effects contribute favorably to the subduction of the lithosphere an essential component of plate tectonics moreover uncertainties in achieving plate tectonics in the one earthmass regime disappear as mass increases superearths even if dry will exhibit plate tectonic behaviour | [['the', 'recent', 'discovery', 'of', 'superearths', 'masses', 'less', 'or', 'equal', 'to', '10', 'earthmasses', 'has', 'initiated', 'a', 'discussion', 'about', 'conditions', 'for', 'habitable', 'worlds', 'among', 'these', 'is', 'the', 'mode', 'of', 'convection', 'which', 'influences', 'a', 'planets', 'thermal', 'evolution', 'and', 'surface', 'conditions', 'on', 'earth', 'plate', 'tectonics', 'has', 'been', 'proposed', 'as', 'a', 'necessary', 'condition', 'for', 'life', 'here', 'we', 'show', 'that', 'superearths', 'will', 'also', 'have', 'plate', 'tectonics', 'we', 'demonstrate', 'that', 'as', 'planetary', 'mass', 'increases', 'the', 'shear', 'stress', 'available', 'to', 'overcome', 'resistance', 'to', 'plate', 'motion', 'increases', 'while', 'the', 'plate', 'thickness', 'decreases', 'thereby', 'enhancing', 'plate', 'weakness', 'these', 'effects', 'contribute', 'favorably', 'to', 'the', 'subduction', 'of', 'the', 'lithosphere', 'an', 'essential', 'component', 'of', 'plate', 'tectonics', 'moreover', 'uncertainties', 'in', 'achieving', 'plate', 'tectonics', 'in', 'the', 'one', 'earthmass', 'regime', 'disappear', 'as', 'mass', 'increases', 'superearths', 'even', 'if', 'dry', 'will', 'exhibit', 'plate', 'tectonic', 'behaviour']] | [-0.12825484023114123, 0.22421427504775962, -0.03960234909428386, 0.0314628637265634, -0.1334072046722542, -0.0948443513722929, 0.04425549151845218, 0.3328828103693686, -0.20058409520608234, -0.31514628092193697, 0.17735940988146237, -0.2876637648849741, -0.1185211421074859, 0.22214367084285816, -0.128196565518669, 0.04641207932369915, 0.1290932266714462, -0.038982247834746526, -0.03920309547532907, -0.22504516470972008, 0.24565886172253315, 0.08536263824601871, 0.19809482828530622, 0.08959155311573326, 0.04574679303547646, -0.10308726002850871, 0.03786648864909185, -0.01276178022949245, -0.19336466326510743, -0.01837506226637936, 0.24834159158874214, 0.034735541121564864, 0.27997376213920866, -0.49029229548402264, -0.22758246096140727, 0.04882317873480634, 0.13787413164093268, 0.0369684480022507, -0.009458006008557505, -0.20390792856520906, 0.06452482448813807, -0.17944873218776614, -0.20806119899727463, 0.014422717570202557, 0.10372534995590608, -0.058648498938327256, -0.2421794189360198, 0.11213004989269938, 0.11501466412845207, 0.12148121961458462, -0.1343272836350902, -0.1701916642047054, -0.08248363349469394, 0.11481928395466717, 0.12026410634761427, -0.03686091230859555, 0.2569982930811628, -0.10892116837203503, 0.024342375239137355, 0.4008524050261444, -0.09588120063568839, -0.12512673202198088, 0.27102598324638066, -0.17537233718637904, -0.0033667809914295216, 0.15371407969583442, 0.20842690106598646, 0.06544876622960089, -0.13178186960826357, -0.04352954271713301, 0.0008607142289557795, 0.1848537260428159, 0.17676328869873847, -0.0273234004734128, 0.3396199576732681, 0.28335106718412595, 0.11175193476461344, 0.07312740468398088, -0.18115989149797443, -0.013265145641905585, -0.21728011624755586, -0.19046776516612354, -0.10919648552690192, -0.02932842242839475, -0.06363014562601338, -0.20537111378736853, 0.29307353641749834, 0.17864466889754055, 0.07322958171299812, 0.048542818983129454, 0.29140408414115354, 0.02236440124111177, 0.12992923784319046, 0.08386962723324266, 0.3950757054010714, 0.15313221894087284, 0.12727223817941066, -0.24471204032329477, 0.1307876178908609, -0.017609442635549335] |
710.07 | Directional-dependent thermally activated motion of vortex bundles and
theory of anomalous Hall effect in type-II conventional and high-Tc
superconductors | The anomalous Hall effect for type-II conventional and high-Tc
superconductors is studied based upon the theory of thermally activated motion
of vortex bundles jumping over the directional-dependent energy barrier. It is
shown that the Hall anomaly is universal for type-II conventional and high-Tc
superconductors as well as for superconducting bulk materials and thin films,
provided certain conditions are satisfied. We find that the
directional-dependent potential barrier of the vortex bundles renormalizes the
Hall and longitudinal resistivities, and Hall anomaly for superconductors is
induced by the competition between the Magnus force and the random collective
pinning force of the vortex bundle. We also find that the domain of anomalous
Hall effect includes two regions: the region of thermally activated motion of
the small vortex bundles and that of the large vortex bundles separated by the
contour of the quasiorder-disorder first-order phase transition, or the peak
effect of the vortex system. The Hall and longitudinal resistivities as
functions of temperature as well as applied magnetic field have been calculated
for type-II superconducting films and bulk materials. The conditions for
occurring the double sign reversal or reentry phenomenon is also investigated.
All the results are in agreement with the experiments.
| cond-mat.supr-con | the anomalous hall effect for typeii conventional and hightc superconductors is studied based upon the theory of thermally activated motion of vortex bundles jumping over the directionaldependent energy barrier it is shown that the hall anomaly is universal for typeii conventional and hightc superconductors as well as for superconducting bulk materials and thin films provided certain conditions are satisfied we find that the directionaldependent potential barrier of the vortex bundles renormalizes the hall and longitudinal resistivities and hall anomaly for superconductors is induced by the competition between the magnus force and the random collective pinning force of the vortex bundle we also find that the domain of anomalous hall effect includes two regions the region of thermally activated motion of the small vortex bundles and that of the large vortex bundles separated by the contour of the quasiorderdisorder firstorder phase transition or the peak effect of the vortex system the hall and longitudinal resistivities as functions of temperature as well as applied magnetic field have been calculated for typeii superconducting films and bulk materials the conditions for occurring the double sign reversal or reentry phenomenon is also investigated all the results are in agreement with the experiments | [['the', 'anomalous', 'hall', 'effect', 'for', 'typeii', 'conventional', 'and', 'hightc', 'superconductors', 'is', 'studied', 'based', 'upon', 'the', 'theory', 'of', 'thermally', 'activated', 'motion', 'of', 'vortex', 'bundles', 'jumping', 'over', 'the', 'directionaldependent', 'energy', 'barrier', 'it', 'is', 'shown', 'that', 'the', 'hall', 'anomaly', 'is', 'universal', 'for', 'typeii', 'conventional', 'and', 'hightc', 'superconductors', 'as', 'well', 'as', 'for', 'superconducting', 'bulk', 'materials', 'and', 'thin', 'films', 'provided', 'certain', 'conditions', 'are', 'satisfied', 'we', 'find', 'that', 'the', 'directionaldependent', 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710.0701 | The First Lunar Ranging Constraints on Gravity Sector SME Parameters | We present the first constraints on pure-gravity sector Standard-Model
Extension (SME) parameters using Lunar Laser Ranging (LLR). LLR measures the
round trip travel time of light between the Earth and the Moon. With 34+ years
of LLR data, we have constrained six independent linear combinations of SME
parameters at the level of $10^{-6}$ to $10^{-11}$. There is no evidence for
Lorentz violation in the LLR dataset.
| gr-qc astro-ph | we present the first constraints on puregravity sector standardmodel extension sme parameters using lunar laser ranging llr llr measures the round trip travel time of light between the earth and the moon with 34 years of llr data we have constrained six independent linear combinations of sme parameters at the level of 106 to 1011 there is no evidence for lorentz violation in the llr dataset | [['we', 'present', 'the', 'first', 'constraints', 'on', 'puregravity', 'sector', 'standardmodel', 'extension', 'sme', 'parameters', 'using', 'lunar', 'laser', 'ranging', 'llr', 'llr', 'measures', 'the', 'round', 'trip', 'travel', 'time', 'of', 'light', 'between', 'the', 'earth', 'and', 'the', 'moon', 'with', '34', 'years', 'of', 'llr', 'data', 'we', 'have', 'constrained', 'six', 'independent', 'linear', 'combinations', 'of', 'sme', 'parameters', 'at', 'the', 'level', 'of', '106', 'to', '1011', 'there', 'is', 'no', 'evidence', 'for', 'lorentz', 'violation', 'in', 'the', 'llr', 'dataset']] | [-0.11293049744034017, 0.15112339099869132, -0.06669910038313405, 0.02459289243084971, -0.0620991854617993, -0.11060024416920813, 0.11069300529109596, 0.3268905656313467, -0.19642130423788773, -0.4005029773283185, 0.10791925038034661, -0.33352867056700314, -0.06965410634945852, 0.24984470019681435, -0.03541121761328682, 0.11239627256961257, 0.010637148431586948, 0.024363321181612486, -0.11718462932516228, -0.24987115171935523, 0.1960862049564832, 0.08566457064554209, 0.21492181711293984, 0.005878158294680444, 0.16008169778488632, 0.013224730550339727, -0.06949506888067293, -0.08467835148401333, -0.12582125888685836, 0.10186675982197013, 0.15931490939957174, 0.20808079623285183, 0.1522199846521923, -0.4515206726465487, -0.17542055995330552, 0.11748855994929644, 0.005454873078799044, 0.02290404692405101, -0.03929978797995401, -0.2721373537823445, -0.013471818684289852, -0.16993329438352675, -0.09864929676846121, 0.02611505279536218, 0.08026149770188512, -0.03853607005580808, -0.31638921468490455, 0.06328819282917363, -0.1150395871902054, 0.114586477602257, -0.0174575257679504, -0.18140047964477685, 0.05076012882460473, 0.06953675790943882, 0.20263693993558374, 0.0433186751558396, 0.16826279268769379, -0.00986657956981975, -0.122055573390698, 0.44466332168402994, -0.1805569233767914, -0.12802276162035536, 0.16897315269505436, -0.19563375963039245, -0.18093337994562744, 0.11613205253061923, 0.23532246380592836, 0.04852559409019622, -0.21660152362716018, 0.11513402408154709, -0.0734171934679828, 0.21467897812412542, 0.14495810476893728, 0.05965692865323614, 0.22582380918108605, 0.17367571648774724, 0.09455692299613447, 0.00990188955752687, -0.1717858650178338, -0.059218631753923764, -0.3287369337455003, -0.09314358142684355, -0.12455982575898594, 0.01719262989971674, -0.17075557852226528, -0.03733558015841426, 0.3601576390422203, 0.1824373514391482, 0.12205444083012866, 0.0770981168148644, 0.30722200366753066, 0.06007959815729974, 0.0954352290172017, 0.052105473333292386, 0.3585385394804744, 0.08738341793474375, 0.056315293683755124, -0.1889253378595282, 0.009644493799317966, -0.016068769539494744] |
710.0702 | Testing for Lorentz Violation: Constraints on Standard-Model Extension
Parameters via Lunar Laser Ranging | We present constraints on violations of Lorentz Invariance based on Lunar
Laser Ranging (LLR) data. LLR measures the Earth-Moon separation by timing the
round-trip travel of light between the two bodies, and is currently accurate to
a few centimeters (parts in $10^{11}$ of the total distance). By analyzing
archival LLR data under the Standard-Model Extension (SME) framework, we
derived six observational constraints on dimensionless SME parameters that
describe potential Lorentz-violation. We found no evidence for Lorentz
violation at the $10^{-6}$ to $10^{-11}$ level in these parameters.
| gr-qc astro-ph | we present constraints on violations of lorentz invariance based on lunar laser ranging llr data llr measures the earthmoon separation by timing the roundtrip travel of light between the two bodies and is currently accurate to a few centimeters parts in 1011 of the total distance by analyzing archival llr data under the standardmodel extension sme framework we derived six observational constraints on dimensionless sme parameters that describe potential lorentzviolation we found no evidence for lorentz violation at the 106 to 1011 level in these parameters | [['we', 'present', 'constraints', 'on', 'violations', 'of', 'lorentz', 'invariance', 'based', 'on', 'lunar', 'laser', 'ranging', 'llr', 'data', 'llr', 'measures', 'the', 'earthmoon', 'separation', 'by', 'timing', 'the', 'roundtrip', 'travel', 'of', 'light', 'between', 'the', 'two', 'bodies', 'and', 'is', 'currently', 'accurate', 'to', 'a', 'few', 'centimeters', 'parts', 'in', '1011', 'of', 'the', 'total', 'distance', 'by', 'analyzing', 'archival', 'llr', 'data', 'under', 'the', 'standardmodel', 'extension', 'sme', 'framework', 'we', 'derived', 'six', 'observational', 'constraints', 'on', 'dimensionless', 'sme', 'parameters', 'that', 'describe', 'potential', 'lorentzviolation', 'we', 'found', 'no', 'evidence', 'for', 'lorentz', 'violation', 'at', 'the', '106', 'to', '1011', 'level', 'in', 'these', 'parameters']] | [-0.1520480472800257, 0.14211729407137216, -0.0583803815669705, 0.07751924096373841, -0.06297831996452323, -0.0812593135430456, 0.0954869702379869, 0.3367433923805609, -0.18947574795158798, -0.40181861878481023, 0.091869285473665, -0.30513135148862075, -0.05661023373520652, 0.26188347823268104, -0.034941233464430066, 0.10001447356609237, 0.01153093712068661, -0.0010614398931867856, -0.12337132535474159, -0.2016127268610479, 0.2369549989234656, 0.07746746072946332, 0.2350412580938631, 0.04227747941906781, 0.15146225931523585, -0.010062639027574035, -0.06274020861899264, -0.04050385365046041, -0.1538253907567915, 0.1259520002627247, 0.14509829099365879, 0.18340403933164684, 0.1614320509590555, -0.4510428380914206, -0.18809734287855842, 0.06481463891226626, 0.03205193457908408, 0.022879026700244394, -0.03694680914808021, -0.3051453371015161, 0.0008810646290522675, -0.17152104868965093, -0.11055514387526484, -0.026201291876130326, 0.09164617403930184, -0.014088928390857439, -0.28385637416287735, 0.08208138671931052, -0.09641973280109638, 0.09087983756305834, -0.055788419436836656, -0.13783864804332382, 0.06181452511051713, 0.050981710491658644, 0.15594372560194325, 0.023992245829038777, 0.19002146929567462, -0.03612062477961529, -0.0772504607096401, 0.44191517687381004, -0.12651484863437323, -0.15263134606052622, 0.18021310424042303, -0.18090691394714076, -0.17787622695593813, 0.11723122042387205, 0.22013412882725514, 0.05021896664334764, -0.25619406869829914, 0.08492964163333243, -0.013579413435573494, 0.23017945586768693, 0.13420207339046566, 0.08072035176392514, 0.23245444510478613, 0.11847854887546841, 0.08084744696375416, 0.0376686591378868, -0.1653513458346255, -0.05410734268966629, -0.34018209925852716, -0.05612402578371138, -0.14158284137036306, 0.04224073762334017, -0.16577928062229888, -0.026441188145200127, 0.346469983133639, 0.1922074114297365, 0.14608534960466069, 0.06856889894968549, 0.3366999747664776, 0.055325516039332334, 0.10669254691361688, 0.030206829618099472, 0.3699859574891973, 0.09670577330926303, 0.04758624439560916, -0.2164118106837038, 0.01938867611745589, 0.027184909680346567] |
710.0703 | pQCD vs. AdS/CFT Tested by Heavy Quark Energy Loss | We predict the charm and bottom quark nuclear modification factors using
weakly coupled pQCD and strongly coupled AdS/CFT drag methods. The
log(pT/M_Q)/pT dependence of pQCD loss and the momentum independence of drag
loss lead to different momentum dependencies for the R_{AA} predictions. This
difference is enhanced by examining a new experimental observable, the double
ratio of charm to bottom nuclear modification factors,
R^{cb}=R^c_{AA}/R^b_{AA}. At LHC the weakly coupled theory predicts R^{cb} goes
to 1; whereas the strongly coupled theory predicts R^{cb} .2 independent of pT.
At RHIC the differences are less dramatic, as the production spectra are
harder, but the drag formula is applicable to higher momenta, due to the lower
temperature.
| nucl-th | we predict the charm and bottom quark nuclear modification factors using weakly coupled pqcd and strongly coupled adscft drag methods the logptm_qpt dependence of pqcd loss and the momentum independence of drag loss lead to different momentum dependencies for the r_aa predictions this difference is enhanced by examining a new experimental observable the double ratio of charm to bottom nuclear modification factors rcbrc_aarb_aa at lhc the weakly coupled theory predicts rcb goes to 1 whereas the strongly coupled theory predicts rcb 2 independent of pt at rhic the differences are less dramatic as the production spectra are harder but the drag formula is applicable to higher momenta due to the lower temperature | [['we', 'predict', 'the', 'charm', 'and', 'bottom', 'quark', 'nuclear', 'modification', 'factors', 'using', 'weakly', 'coupled', 'pqcd', 'and', 'strongly', 'coupled', 'adscft', 'drag', 'methods', 'the', 'logptm_qpt', 'dependence', 'of', 'pqcd', 'loss', 'and', 'the', 'momentum', 'independence', 'of', 'drag', 'loss', 'lead', 'to', 'different', 'momentum', 'dependencies', 'for', 'the', 'r_aa', 'predictions', 'this', 'difference', 'is', 'enhanced', 'by', 'examining', 'a', 'new', 'experimental', 'observable', 'the', 'double', 'ratio', 'of', 'charm', 'to', 'bottom', 'nuclear', 'modification', 'factors', 'rcbrc_aarb_aa', 'at', 'lhc', 'the', 'weakly', 'coupled', 'theory', 'predicts', 'rcb', 'goes', 'to', '1', 'whereas', 'the', 'strongly', 'coupled', 'theory', 'predicts', 'rcb', '2', 'independent', 'of', 'pt', 'at', 'rhic', 'the', 'differences', 'are', 'less', 'dramatic', 'as', 'the', 'production', 'spectra', 'are', 'harder', 'but', 'the', 'drag', 'formula', 'is', 'applicable', 'to', 'higher', 'momenta', 'due', 'to', 'the', 'lower', 'temperature']] | [-0.04619026916440238, 0.25536144749600104, -0.13208052206107163, 0.12930240919496017, -0.061225775028155606, -0.17019701118750327, 0.009081317876486784, 0.3093902633271434, -0.2527783309194175, -0.2962397267872637, -0.047670487852089785, -0.3565474650399251, -0.0003343216482211243, 0.14121163303709844, 0.007666283202442256, 0.06246047922918065, 0.06418590895958584, -0.006715176389975981, -0.08695816527734596, -0.23605370789512314, 0.3119995225792412, 0.08776385326954451, 0.2604145916517485, 0.17662440655245024, 0.03341371648923748, 0.010516633436253125, -0.03226507801128636, 0.01475692309481515, -0.09191408225292848, 0.08681202746864239, 0.21030144924668343, 0.0027695106706894213, 0.16730076120531356, -0.3803936543281783, -0.1504509760252073, 0.037761092994531446, 0.12120842116630891, 0.08304821943694896, -0.026610972090962935, -0.16997266830453142, 0.06004347163675861, -0.23909241864986888, -0.1391636426676996, -0.09126660138770769, 0.008155188808979636, -0.0315034399994395, -0.3288097918795591, 0.17156995622949167, -0.00850813314318657, 0.025647225529378787, 0.0026087387634271923, -0.17432634984672238, -0.06859971435782923, 0.04097505884922364, 0.11230666197582402, 0.07513864366178909, 0.21707398980771275, -0.19517559259918266, -0.10242788154970515, 0.3786390205506574, -0.08434390949762681, -0.15511000671169975, 0.22379503221335736, -0.2149684600828385, -0.08726078915325078, 0.16097349405966022, 0.21309618169060823, 0.12876283676278863, -0.13836354401639916, 0.044856308263578365, 0.015355321413583376, 0.17636956299274145, 0.07766827615824613, 0.052984228984198786, 0.1901233043733307, 0.1818647953088988, -0.030870907179302198, 0.08083283957093954, -0.06268036640672521, -0.10828234270553697, -0.3466273112561215, -0.06947813718235755, -0.08866767148296772, 0.04351570172743364, -0.12271576928866455, -0.10046974561092528, 0.35102295481007206, 0.09880554906346581, 0.26196246043016963, -0.0020539839074692943, 0.3045127785679969, 0.16095613587372512, 0.10760633781213652, 0.0966584994203665, 0.31696242772212085, 0.22458390373821285, 0.13188552789559418, -0.3247517330254513, 0.060724611113255375, 0.05451633497987959] |
710.0704 | Triage of the Sign Problem | We discuss the sign problem in QCD at nonzero chemical potential and its
relation with chiral symmetry breaking and the spectrum of the Dirac operator
using the framework of chiral random matrix theory. We show that the
Banks-Casher formula is not valid for theories with a sign problem and has to
be replaced by an alternative mechanism that is worked out in detail for QCD in
one dimension at nonzero chemical potential.
| hep-th | we discuss the sign problem in qcd at nonzero chemical potential and its relation with chiral symmetry breaking and the spectrum of the dirac operator using the framework of chiral random matrix theory we show that the bankscasher formula is not valid for theories with a sign problem and has to be replaced by an alternative mechanism that is worked out in detail for qcd in one dimension at nonzero chemical potential | [['we', 'discuss', 'the', 'sign', 'problem', 'in', 'qcd', 'at', 'nonzero', 'chemical', 'potential', 'and', 'its', 'relation', 'with', 'chiral', 'symmetry', 'breaking', 'and', 'the', 'spectrum', 'of', 'the', 'dirac', 'operator', 'using', 'the', 'framework', 'of', 'chiral', 'random', 'matrix', 'theory', 'we', 'show', 'that', 'the', 'bankscasher', 'formula', 'is', 'not', 'valid', 'for', 'theories', 'with', 'a', 'sign', 'problem', 'and', 'has', 'to', 'be', 'replaced', 'by', 'an', 'alternative', 'mechanism', 'that', 'is', 'worked', 'out', 'in', 'detail', 'for', 'qcd', 'in', 'one', 'dimension', 'at', 'nonzero', 'chemical', 'potential']] | [-0.11557043756410065, 0.1610303096452602, -0.09896353061776608, 0.040261597259409934, -0.0685507758300648, -0.14534562377310875, 0.041981727138692, 0.3703407264159371, -0.24894880819030935, -0.22504975432012644, 0.06640553819953413, -0.2847958382658867, -0.17750153470680946, 0.10011271811607811, 0.033023042694872454, 0.05491828985638373, -0.04096406318260253, 0.06531031266786158, -0.10110836510365415, -0.2108605564959968, 0.3566266215994902, 0.014564568642526865, 0.23012009330624197, 0.16470332926190975, 0.08342004125006497, -0.003687212651129812, 0.019471122074820515, 0.0055818038720948, -0.07442787766376568, 0.035374645764629044, 0.19821992154660015, 0.0442852645937819, 0.17830590397999105, -0.4179832414827413, -0.22557691597224525, 0.13576920946232146, 0.1182148083915106, 0.1501429082515339, -0.09824812969762003, -0.24455355392355058, 0.15395105161264333, -0.19560552942049172, -0.22874503133223495, -0.1071662672103331, 0.016116233937080122, -0.13050067944762608, -0.28655685420380905, 0.10043684588809912, 0.008783159027290013, 0.07476219477959806, -0.03615026095940266, -0.14086208566893926, -0.028237780594887834, 0.08262113642639532, 0.08255606457047786, 0.040781205959825054, 0.06927176517233925, -0.16150941549696857, -0.13087870819597608, 0.43887559370422324, -0.07145331750830843, -0.22973515177404302, 0.100594294338306, -0.13094136514054197, -0.15170173763504458, 0.055714310108063124, 0.08055779869512965, 0.10216513303263734, -0.12618569064781898, 0.16725482793036564, -0.019793601654883888, 0.10441214143389112, 0.05749596945113606, -0.006592561445561134, 0.2508641820297473, 0.11355590921205778, 0.07734704919857904, 0.1016356633934063, -0.0009275759285729793, -0.12642382826824258, -0.3467751782801416, -0.11681840696918597, -0.22566264845793033, 0.04108693297429353, -0.10034596306185348, -0.13659931527864602, 0.3986196038571911, 0.16175856433498362, 0.2032963163478093, 0.01822782980485095, 0.2564634121501715, 0.20246058623565155, 0.08678992285988191, 0.015043555745958455, 0.2216013258116113, 0.16999187121594636, 0.11671657661079532, -0.2764543908480037, -0.018212180429448683, 0.14062747233805972] |
710.0705 | Hopf Algebras and Congruence Subgroups | We prove that the kernel of the natural action of the modular group on the
center of the Drinfel'd double of a semisimple Hopf algebra is a congruence
subgroup. To do this, we introduce a class of generalized Frobenius-Schur
indicators and endow it with an action of the modular group that is compatible
with the original one.
| math.RA hep-th math-ph math.MP math.QA math.RT | we prove that the kernel of the natural action of the modular group on the center of the drinfeld double of a semisimple hopf algebra is a congruence subgroup to do this we introduce a class of generalized frobeniusschur indicators and endow it with an action of the modular group that is compatible with the original one | [['we', 'prove', 'that', 'the', 'kernel', 'of', 'the', 'natural', 'action', 'of', 'the', 'modular', 'group', 'on', 'the', 'center', 'of', 'the', 'drinfeld', 'double', 'of', 'a', 'semisimple', 'hopf', 'algebra', 'is', 'a', 'congruence', 'subgroup', 'to', 'do', 'this', 'we', 'introduce', 'a', 'class', 'of', 'generalized', 'frobeniusschur', 'indicators', 'and', 'endow', 'it', 'with', 'an', 'action', 'of', 'the', 'modular', 'group', 'that', 'is', 'compatible', 'with', 'the', 'original', 'one']] | [-0.18753506762808875, 0.04677647072234673, -0.13174478918836827, 0.046593173564280985, -0.1686046372347495, -0.11256726658821367, -0.0027941449733222263, 0.34656032946026116, -0.36541165293831573, -0.18045341210407123, 0.106176373463026, -0.2307733112227237, -0.18715381047181917, 0.21143153757714717, -0.15163498915927975, -0.059506928883166166, 0.06441225766678128, 0.2165716691432815, -0.11321232927832425, -0.2392448589916488, 0.48291981128747, 0.024923401711132834, 0.26182648617970317, -0.017404173345615465, 0.1344223785328499, 0.0023155047051739274, 0.002674558804484836, -0.03867813794497858, -0.05992438777461199, 0.1805133219939052, 0.2230060757301225, 0.06302504898702498, 0.23311074195723785, -0.33956074211419673, -0.10921928193420172, 0.16868012718725622, 0.08650467995750277, -0.0011977693760408122, -0.028883390829146822, -0.2767528864113908, 0.12145499974946704, -0.26229149083557884, -0.15295510808937252, -0.07154242282635287, 0.060550640059406295, -0.03853593541211203, -0.24780579828738905, -0.008528476940435275, 0.07215358048938868, 0.1171552158173239, -0.07665374572797302, -0.05029251640499161, -0.042652036292118986, 0.10633878766869505, -0.033981168944911475, 0.051544692277450836, 0.12414075079651778, -0.1112550635242083, -0.1373048843775075, 0.4091061753008449, -0.056333047452203015, -0.20427519736582772, 0.1467529762752779, -0.1794517245613398, -0.2346396838690628, 0.048000013978596316, 0.07546717856536832, 0.11855280213057995, -0.03463271281502226, 0.14613242073111204, -0.17147899187055596, 0.07828788496063728, 0.016897465510849367, -0.03929564175441077, 0.11971437754599672, 0.11436886245102965, 0.05940334541772149, 0.14130056317764939, 0.007879618853494003, -0.018627986115844625, -0.36571828445844484, -0.24297748432543717, -0.08136389767260928, 0.1082620284757005, -0.10351239844902393, -0.2181302052840852, 0.4654217179733933, 0.1158596119606508, 0.16839361439148584, 0.13999328893004803, 0.1601406062111716, 0.11655062208311599, 0.1870938893274829, 0.04211351979654609, 0.1463809781952908, 0.1958526464734684, -0.07655385665170718, -0.19549518472335317, -0.06335464825755671, 0.18730789504683854] |
710.0706 | Area-Preserving Surface Dynamics and S. Saito's Fixed Point Formula | We show that S. Saito's fixed point formula serves as a powerful tool for
counting the number of isolated periodic points of an area-preserving surface
map admitting periodic curves. His notion of periodic curves of types I and II
plays a central role in our discussion. We establish a Shub-Sullivan type
result on the stability of local indices under iterations of the map, the
finiteness of the number of periodic curves of type II, and the absence of
periodic curves of type I. Combined with these results, Saito's formula implies
the existence of infinitely many isolated periodic points whose cardinality
grows exponentially as period tends to infinity.
| math.DS math.AG | we show that s saitos fixed point formula serves as a powerful tool for counting the number of isolated periodic points of an areapreserving surface map admitting periodic curves his notion of periodic curves of types i and ii plays a central role in our discussion we establish a shubsullivan type result on the stability of local indices under iterations of the map the finiteness of the number of periodic curves of type ii and the absence of periodic curves of type i combined with these results saitos formula implies the existence of infinitely many isolated periodic points whose cardinality grows exponentially as period tends to infinity | [['we', 'show', 'that', 's', 'saitos', 'fixed', 'point', 'formula', 'serves', 'as', 'a', 'powerful', 'tool', 'for', 'counting', 'the', 'number', 'of', 'isolated', 'periodic', 'points', 'of', 'an', 'areapreserving', 'surface', 'map', 'admitting', 'periodic', 'curves', 'his', 'notion', 'of', 'periodic', 'curves', 'of', 'types', 'i', 'and', 'ii', 'plays', 'a', 'central', 'role', 'in', 'our', 'discussion', 'we', 'establish', 'a', 'shubsullivan', 'type', 'result', 'on', 'the', 'stability', 'of', 'local', 'indices', 'under', 'iterations', 'of', 'the', 'map', 'the', 'finiteness', 'of', 'the', 'number', 'of', 'periodic', 'curves', 'of', 'type', 'ii', 'and', 'the', 'absence', 'of', 'periodic', 'curves', 'of', 'type', 'i', 'combined', 'with', 'these', 'results', 'saitos', 'formula', 'implies', 'the', 'existence', 'of', 'infinitely', 'many', 'isolated', 'periodic', 'points', 'whose', 'cardinality', 'grows', 'exponentially', 'as', 'period', 'tends', 'to', 'infinity']] | [-0.22181942612635638, 0.06302474359753828, -0.10239520056155633, 0.06456119493462743, -0.035118708125631906, -0.1465928482577064, 0.08682068941767661, 0.2727696846002045, -0.2562803778762244, -0.2600886893265371, 0.11277100227373424, -0.2720684578756468, -0.16032345414618557, 0.24653235794526068, -0.11416911954973948, 0.023510145568201003, 0.04894195595439875, 0.07201771622629098, -0.05049627996434212, -0.2555316646741527, 0.3655314391724906, -0.03183383343495288, 0.2311235824731653, -0.008006089255499284, 0.05334081227796697, 0.08376769826501468, -0.0476340646825331, 0.01836013865991021, -0.16560015259981914, 0.10060626190849843, 0.19821924394664336, 0.08701456538928708, 0.25082254896537876, -0.39269217412989094, -0.16966556659064977, 0.19056198714775438, 0.1181209167676433, 0.06462382726406432, -0.047071514298638574, -0.2014076413042, 0.1254098960769556, -0.08819879720620108, -0.317016611336994, -0.03490982052676801, 0.08136718214889285, 0.11208157556764078, -0.23499870146756535, 0.029857931711891102, 0.15232259134832277, 0.15457986551995898, -0.07639955791737006, -0.06297421237928266, -0.07208808638454187, 0.11846462031387074, 0.06889615154754862, 0.016055403668257705, 0.07645035603738232, -0.08379597771245073, -0.08766958729434267, 0.3237633260212979, -0.11376036315242637, -0.14891306326926668, 0.21157352240176275, -0.09880636902174579, -0.13453187660054955, 0.1768868902417005, 0.10350368134589549, 0.12304380979446061, -0.03439119898380255, 0.13329833865337037, -0.10008200681504775, 0.11596685819869272, 0.11464338242691362, 0.05430903847610472, 0.20142036754602813, 0.09251441474434785, 0.11736486002721577, 0.15442592866569407, -0.1059077283573987, -0.07068138676783386, -0.40063719316122104, -0.17322699639963796, -0.13587773533072323, 0.1254107879017884, -0.1309519331187849, -0.2584955320816557, 0.40497272097031184, 0.025461395091008185, 0.2039338041993104, 0.058949251009045904, 0.1793164475469516, 0.10466269257298302, 0.011800196640800798, 0.056045414431828935, 0.1406440867005654, 0.15466645502766488, 0.040409930788402285, -0.20765071753236763, 0.0038425134064383666, 0.18643667805447894] |
710.0707 | New branch of Kaluza-Klein compactification | We found a new branch of solutions in Freund-Rubin type flux
compactifications. The geometry of these solutions is described as the external
space which has a de Sitter symmetry and the internal space which is
topologically spherical. However, it is not a simple form of dS_p x S^q but a
warped product of de Sitter space and a deformed sphere. We explicitly
constructed numerical solutions for a specific case with p=4 and q=4. We show
that the new branch of solutions emanates from the marginally stable solution
in the branch of dS_4 x S^4 solutions.
| hep-th gr-qc | we found a new branch of solutions in freundrubin type flux compactifications the geometry of these solutions is described as the external space which has a de sitter symmetry and the internal space which is topologically spherical however it is not a simple form of ds_p x sq but a warped product of de sitter space and a deformed sphere we explicitly constructed numerical solutions for a specific case with p4 and q4 we show that the new branch of solutions emanates from the marginally stable solution in the branch of ds_4 x s4 solutions | [['we', 'found', 'a', 'new', 'branch', 'of', 'solutions', 'in', 'freundrubin', 'type', 'flux', 'compactifications', 'the', 'geometry', 'of', 'these', 'solutions', 'is', 'described', 'as', 'the', 'external', 'space', 'which', 'has', 'a', 'de', 'sitter', 'symmetry', 'and', 'the', 'internal', 'space', 'which', 'is', 'topologically', 'spherical', 'however', 'it', 'is', 'not', 'a', 'simple', 'form', 'of', 'ds_p', 'x', 'sq', 'but', 'a', 'warped', 'product', 'of', 'de', 'sitter', 'space', 'and', 'a', 'deformed', 'sphere', 'we', 'explicitly', 'constructed', 'numerical', 'solutions', 'for', 'a', 'specific', 'case', 'with', 'p4', 'and', 'q4', 'we', 'show', 'that', 'the', 'new', 'branch', 'of', 'solutions', 'emanates', 'from', 'the', 'marginally', 'stable', 'solution', 'in', 'the', 'branch', 'of', 'ds_4', 'x', 's4', 'solutions']] | [-0.17191783672835875, 0.0820623852214531, -0.11576954763578741, 0.08138832598802094, -0.10693698011730847, -0.11495248218508143, 0.006938540425739791, 0.30604883338275707, -0.18729496045393476, -0.22345747947447786, 0.16224085483945122, -0.26370593412338117, -0.15776558657617945, 0.17099482788655318, -0.07312561552542703, -0.015381271955802252, -0.009722693953172941, 0.0574068124773667, -0.11467798539241286, -0.22659508662396355, 0.3767238578514049, -0.024283685260697414, 0.2618217953333729, -0.05733041894671164, 0.129298349293439, -0.06871657947960653, 0.050093064393456045, 0.03900977057361926, -0.186222195789895, 0.10837958969886562, 0.20763268859468792, 0.10580368547847396, 0.13205820663194906, -0.3826766734648692, -0.21487010634063106, 0.11653239466249943, 0.20107492914570396, 0.11103758592109539, -0.0706141583621502, -0.279454399329169, 0.047550802393571324, -0.1729975132590258, -0.1990844437864756, -0.09317325722965362, 0.04420958300562281, -0.028878729534335436, -0.2129947779749177, 0.033882618489626204, 0.06748223791977292, -0.006152484014532284, -0.1308100493355213, -0.060535881959980255, -0.1285370159845211, 0.04775399348551505, 0.07966984622425546, 0.07651356939520491, 0.0623535148076419, -0.1264069888348642, -0.0661603997320574, 0.3475193131960144, -0.0806370238430406, -0.257861521232285, 0.16643608247763234, -0.15786392027022023, -0.14601962741366342, 0.16696568752982113, 0.08863749728096944, 0.21610250611740509, -0.06947008999750802, 0.23303570806019708, -0.02443172967453536, 0.15871587683887858, 0.11700439201177736, -0.016504513241938853, 0.21933776982324688, 0.12754758053312176, 0.08027475751740368, 0.12301383430236264, -0.04969922646291946, -0.11615174909759508, -0.3859535970185932, -0.1779085861273894, -0.11487132722609922, 0.0976809476430246, -0.13728149321472494, -0.25145510878217847, 0.353226330266089, -0.03029521099080356, 0.1847584444416785, 0.008173045278281757, 0.18333839962356968, 0.07918957094294264, 0.03794952287081335, 0.10781892872979178, 0.2620272619845836, 0.07190570637926852, 0.0971070978864047, -0.17334165109725866, -0.10052185938938668, 0.14571007520548607] |
710.0708 | A characterization of all equilateral triangles in \Bbb Z^3 | This paper is a continuation of previous work of the authors. We extend one
of the theorems that gave a way to construct equilateral triangles whose
vertices have integer coordinates to the general situation. An approximate
extrapolation formula for the sequence ET(n) of all equilateral triangles with
vertices in $\{0,1,2,...,n\}^3$ (A 102698) is given and the asymptotic behavior
of this sequence is analyzed.
| math.NT | this paper is a continuation of previous work of the authors we extend one of the theorems that gave a way to construct equilateral triangles whose vertices have integer coordinates to the general situation an approximate extrapolation formula for the sequence etn of all equilateral triangles with vertices in 012n3 a 102698 is given and the asymptotic behavior of this sequence is analyzed | [['this', 'paper', 'is', 'a', 'continuation', 'of', 'previous', 'work', 'of', 'the', 'authors', 'we', 'extend', 'one', 'of', 'the', 'theorems', 'that', 'gave', 'a', 'way', 'to', 'construct', 'equilateral', 'triangles', 'whose', 'vertices', 'have', 'integer', 'coordinates', 'to', 'the', 'general', 'situation', 'an', 'approximate', 'extrapolation', 'formula', 'for', 'the', 'sequence', 'etn', 'of', 'all', 'equilateral', 'triangles', 'with', 'vertices', 'in', '012n3', 'a', '102698', 'is', 'given', 'and', 'the', 'asymptotic', 'behavior', 'of', 'this', 'sequence', 'is', 'analyzed']] | [-0.17002761580782835, 0.032447062595222585, -0.1304234308114306, 0.028492733815181085, -0.08611804330110794, -0.0901003203537987, 0.04191077613561857, 0.3341685542073406, -0.20814291518334238, -0.28962951064964787, 0.09429325500587155, -0.32684596395883403, -0.14661332136058233, 0.1118844420511703, -0.0864626494251558, 0.010596552913336724, 0.06377783226093552, 0.05230368769987196, -0.03524076371056745, -0.26893611774459236, 0.3102596182353245, -0.0004303833378142998, 0.17202937476275887, -0.004933073078511191, 0.07207475092689522, 0.005413621030442539, 0.004398101070498834, 0.022220162125151665, -0.19668078998575603, 0.1727951307261943, 0.23079680236148054, 0.10057266604643865, 0.22147144945185693, -0.3808874963920136, -0.12966888921610156, 0.18064337142850043, 0.16694281083821763, 0.12168365408529024, 0.0012161175521915076, -0.2065398584684876, 0.10571537024845354, -0.1174181622155316, -0.19959015364102164, -0.03029791255038781, 0.08190475730988823, 0.026083061284553566, -0.2912374328913503, 0.010692352169483412, 0.1423095618298308, 0.07250241872656052, 0.01885358132727322, -0.14293407202797528, 0.037580564366195536, 0.1393042999991506, 0.05025526146465516, 0.0872105863174332, 0.01718265548745384, -0.05343257906449745, -0.1494321559906983, 0.3515839495497649, -0.004323143359334742, -0.22235516383938614, 0.08956678204055203, -0.1609716730146501, -0.1821333900796341, 0.07099989624541314, 0.0978311046835829, 0.17892841239017052, -0.15343796841983423, 0.1377522148426668, -0.13034106387955244, 0.08781717953531713, 0.14523712083025545, 0.0004687180454445789, 0.15284224002637337, 0.10886609849336816, 0.1141309907667522, 0.2183424887232116, -0.0043756179282533345, -0.0670759491698786, -0.3165298900643333, -0.12268878747022054, -0.21866284410247855, 0.061693861378265206, -0.1304392305154594, -0.2292242833397916, 0.42807006759599586, 0.10672568064182997, 0.23925823043482225, 0.11960484754660579, 0.27360050658099966, 0.13563266231632623, 0.007084750364244473, 0.07011589151997974, 0.18997419527808174, 0.1198958101239605, 0.038972502986549355, -0.12139040918745955, 0.012156678356047048, 0.17594653462655233] |
710.0709 | Superstring vertex operators in type IIB matrix model | We clarify the relation between the vertex operators in type IIB matrix model
and superstring. Green-Schwarz light-cone closed superstring theory is obtained
from IIB matrix model on two dimensional noncommutative backgrounds.
Superstring vertex operators should be reproduced from those of IIB matrix
model through this connection. Indeed, we confirm that supergravity vertex
operators in IIB matrix model on the two dimensional backgrounds reduce to
those in superstring theory. Noncommutativity plays an important role in our
identification. Through this correspondence, we can reproduce superstring
scattering amplitudes from IIB matrix model.
| hep-th | we clarify the relation between the vertex operators in type iib matrix model and superstring greenschwarz lightcone closed superstring theory is obtained from iib matrix model on two dimensional noncommutative backgrounds superstring vertex operators should be reproduced from those of iib matrix model through this connection indeed we confirm that supergravity vertex operators in iib matrix model on the two dimensional backgrounds reduce to those in superstring theory noncommutativity plays an important role in our identification through this correspondence we can reproduce superstring scattering amplitudes from iib matrix model | [['we', 'clarify', 'the', 'relation', 'between', 'the', 'vertex', 'operators', 'in', 'type', 'iib', 'matrix', 'model', 'and', 'superstring', 'greenschwarz', 'lightcone', 'closed', 'superstring', 'theory', 'is', 'obtained', 'from', 'iib', 'matrix', 'model', 'on', 'two', 'dimensional', 'noncommutative', 'backgrounds', 'superstring', 'vertex', 'operators', 'should', 'be', 'reproduced', 'from', 'those', 'of', 'iib', 'matrix', 'model', 'through', 'this', 'connection', 'indeed', 'we', 'confirm', 'that', 'supergravity', 'vertex', 'operators', 'in', 'iib', 'matrix', 'model', 'on', 'the', 'two', 'dimensional', 'backgrounds', 'reduce', 'to', 'those', 'in', 'superstring', 'theory', 'noncommutativity', 'plays', 'an', 'important', 'role', 'in', 'our', 'identification', 'through', 'this', 'correspondence', 'we', 'can', 'reproduce', 'superstring', 'scattering', 'amplitudes', 'from', 'iib', 'matrix', 'model']] | [-0.06950374913475152, 0.12165425272721907, -0.019839780106931257, 0.19639313864924557, -0.08664342425397356, -0.188264573207439, 0.016196466948355685, 0.3450040252868798, -0.16383895740498988, -0.17768141773811888, 0.05977524758389827, -0.32007352600732214, -0.27394207476959054, 0.08714848093092023, -0.11655514425692264, -0.05078527590866839, 0.06602096574360065, 0.05290275652568494, -0.16746836355259495, -0.2805122514621595, 0.3824192860864856, -0.008567983310753376, 0.3130450585616355, -0.006822413545143739, 0.07778742941347568, 0.024628153327182774, -0.05351683818159646, -0.03334824373589808, -0.04339657916544853, 0.1174803312208629, 0.2686512479453944, 0.15397876124368626, -0.004348715840514456, -0.5660937828001347, -0.2601797093710538, 0.10083619164030873, 0.22990903251521874, 0.18043818043314674, 0.039454045838917075, -0.25408621333288345, 0.004270902803439772, -0.21002860541005483, -0.158900442041373, -0.014627587183619315, -0.006340336420813973, -0.15353391616699402, -0.25183575445514045, 0.08595234024327959, -0.0704889235536704, -0.017567164672726995, -0.05909670822929298, -0.09141624308834795, -0.0437270317284202, 0.05531744013299768, 0.09604153849231603, 0.0873732831214, 0.0697471705223486, -0.16326756151396327, -0.16376741376988005, 0.32115496121336484, -0.04892426980868651, -0.21757876199115528, 0.07232313169940804, -0.12845348122037864, -0.2111410038974764, 0.07866262834979577, 0.06684368907400731, 0.10652348487847223, -0.21545630637974886, 0.2815110311114878, -0.014101178955621598, 0.10101039948339542, 0.0698546916978915, 0.093988775919202, 0.22695298412333378, 0.1437695813731531, -0.04355151164986382, 0.07444920388620682, -0.012626305845137058, -0.11915329246248087, -0.47786540877115863, -0.0513555280487524, -0.06893862691823016, 0.21524425752963242, -0.2519020109260494, -0.17492714392418943, 0.34456021235104695, 0.1248236371798106, 0.1574759523729595, 0.02032459852693791, 0.11465000760940354, 0.11088705769337169, 0.09392870070015112, 0.016746456870871982, 0.2344866224114647, 0.26552392939482344, 0.0608033082779697, -0.2893130590673536, -0.12977560859152606, 0.3354447090977363] |
710.071 | Non-perturbative renormalization of four-quark operators and B_K with
Schroedinger functional scheme in quenched domain-wall QCD | We present non-perturbative renormalization factors for $\Delta S=2$
four-quark operators in quenched domain-wall QCD using the Schroedinger
functional method. Non-perturbative renormalization factor for $B_K$ is
evaluated at hadronic scale. Combined with the non-perturbative RG running
obtained by the Alpha collaboration, our result yields renormalization factor
which converts lattice bare $B_K$ to the renormalization group invariant one.
We apply the renormalization factor to bare $B_K$ previously obtained by the
CP-PACS collaboration with the quenched domain-wall QCD(DWQCD). We compare our
result with previous ones obtained by perturbative renormalization factors,
different renormalization schemes or different quark actions. We also show that
chiral symmetry breaking effects in the renormalization factor are numerically
small.
| hep-lat | we present nonperturbative renormalization factors for delta s2 fourquark operators in quenched domainwall qcd using the schroedinger functional method nonperturbative renormalization factor for b_k is evaluated at hadronic scale combined with the nonperturbative rg running obtained by the alpha collaboration our result yields renormalization factor which converts lattice bare b_k to the renormalization group invariant one we apply the renormalization factor to bare b_k previously obtained by the cppacs collaboration with the quenched domainwall qcddwqcd we compare our result with previous ones obtained by perturbative renormalization factors different renormalization schemes or different quark actions we also show that chiral symmetry breaking effects in the renormalization factor are numerically small | [['we', 'present', 'nonperturbative', 'renormalization', 'factors', 'for', 'delta', 's2', 'fourquark', 'operators', 'in', 'quenched', 'domainwall', 'qcd', 'using', 'the', 'schroedinger', 'functional', 'method', 'nonperturbative', 'renormalization', 'factor', 'for', 'b_k', 'is', 'evaluated', 'at', 'hadronic', 'scale', 'combined', 'with', 'the', 'nonperturbative', 'rg', 'running', 'obtained', 'by', 'the', 'alpha', 'collaboration', 'our', 'result', 'yields', 'renormalization', 'factor', 'which', 'converts', 'lattice', 'bare', 'b_k', 'to', 'the', 'renormalization', 'group', 'invariant', 'one', 'we', 'apply', 'the', 'renormalization', 'factor', 'to', 'bare', 'b_k', 'previously', 'obtained', 'by', 'the', 'cppacs', 'collaboration', 'with', 'the', 'quenched', 'domainwall', 'qcddwqcd', 'we', 'compare', 'our', 'result', 'with', 'previous', 'ones', 'obtained', 'by', 'perturbative', 'renormalization', 'factors', 'different', 'renormalization', 'schemes', 'or', 'different', 'quark', 'actions', 'we', 'also', 'show', 'that', 'chiral', 'symmetry', 'breaking', 'effects', 'in', 'the', 'renormalization', 'factor', 'are', 'numerically', 'small']] | [-0.13906858115525986, 0.2617131959802161, -0.13360951417039527, 0.05033516308348798, -0.03985345456102449, -0.10512905547403972, 0.07482846080610114, 0.4077573251324119, -0.17854672744525252, -0.23629411515624574, -0.00340384285233018, -0.2818602272223129, -0.08750020412305647, 0.08939263672369567, 0.08339217220674511, 0.12540326844383445, 0.04132838018833556, -0.008341896886661372, -0.1641330725095166, -0.2459397240438395, 0.4011573410006585, -0.017125709167750622, 0.24135937969441768, 0.14940932260705503, -0.014081701757041392, 0.0013915036203494917, -0.10436876559699024, -0.021107087204991666, -0.1683328279482844, 0.03517940460221359, 0.19132476662990586, -0.0709581558519319, 0.15550616766860778, -0.3584297125365723, -0.21402785126055177, -0.020217443893974025, 0.15730998050033426, 0.14532876955841115, -0.059721377037931234, -0.36746392133473244, 0.10396854212093684, -0.24076004761823075, -0.17849757283046427, -0.19225183833838888, -0.06466890304539076, -0.12548338079445617, -0.3250593345146626, 0.11618357723232799, -0.14351262448407295, 0.025049818214029074, 0.05857589975197765, -0.2225009056015147, 0.011776926504724004, 0.137146559606427, 0.13735750837993152, 0.10239568841212464, 0.19106656560217272, -0.1293599010279178, -0.13169130706659485, 0.4209242349283563, -0.11459297411730168, -0.16594332726715408, 0.0962308245437237, -0.13300502192039318, -0.2003960305635162, 0.08250655326992273, 0.07845518353214073, 0.09883638818455101, -0.1413172916509211, 0.14443515600955667, -0.07747692851720515, 0.17530944848463317, 0.059248007695983956, -0.0001587890588712913, 0.021680080228381686, 0.11608843503657866, 0.007568782868070735, 0.03558147076896771, 0.059957568693250696, -0.1275467922548867, -0.3641588897271841, 0.007192930663694386, -0.1540539431519358, 0.13632083107303414, -0.21057804429869134, -0.09872722172036043, 0.38881022700419027, 0.12053011205582018, 0.1828141164517513, 0.043316388305457726, 0.23555182459919402, 0.15591947059362643, 0.1685349166164761, 0.09240503088221885, 0.22677882079517953, 0.11754505399450729, 0.013628442435421877, -0.3731864249049168, -0.12788890203012637, 0.24572934555234732] |
710.0711 | Canes Venatici I cloud of galaxies seen in the H-alpha line | We present results of H-alpha imaging for 42 galaxies in the nearby
low-density cloud Canes Venatici I populated mainly by late-type objects.
Estimates of the H-alpha flux and integrated star formation rate (SFR) are now
available for all 78 known members of this scattered system, spanning a large
range in luminosity, surface brightness, HI content and SFR. Distributions of
the CVnI galaxies versus their SFR, blue absolute magnitude and total hydrogen
mass are given in comparison with those for a population of the nearby
virialized group around M81. We found no essential correlation between star
formation activity in a galaxy and its density environment. A bulk of CVnI
galaxies had enough time to generate their baryon mass with the observed SFR.
Most of them possess also a supply of gas sufficient to maintain their observed
SFR's during the next Hubble time.
| astro-ph | we present results of halpha imaging for 42 galaxies in the nearby lowdensity cloud canes venatici i populated mainly by latetype objects estimates of the halpha flux and integrated star formation rate sfr are now available for all 78 known members of this scattered system spanning a large range in luminosity surface brightness hi content and sfr distributions of the cvni galaxies versus their sfr blue absolute magnitude and total hydrogen mass are given in comparison with those for a population of the nearby virialized group around m81 we found no essential correlation between star formation activity in a galaxy and its density environment a bulk of cvni galaxies had enough time to generate their baryon mass with the observed sfr most of them possess also a supply of gas sufficient to maintain their observed sfrs during the next hubble time | [['we', 'present', 'results', 'of', 'halpha', 'imaging', 'for', '42', 'galaxies', 'in', 'the', 'nearby', 'lowdensity', 'cloud', 'canes', 'venatici', 'i', 'populated', 'mainly', 'by', 'latetype', 'objects', 'estimates', 'of', 'the', 'halpha', 'flux', 'and', 'integrated', 'star', 'formation', 'rate', 'sfr', 'are', 'now', 'available', 'for', 'all', '78', 'known', 'members', 'of', 'this', 'scattered', 'system', 'spanning', 'a', 'large', 'range', 'in', 'luminosity', 'surface', 'brightness', 'hi', 'content', 'and', 'sfr', 'distributions', 'of', 'the', 'cvni', 'galaxies', 'versus', 'their', 'sfr', 'blue', 'absolute', 'magnitude', 'and', 'total', 'hydrogen', 'mass', 'are', 'given', 'in', 'comparison', 'with', 'those', 'for', 'a', 'population', 'of', 'the', 'nearby', 'virialized', 'group', 'around', 'm81', 'we', 'found', 'no', 'essential', 'correlation', 'between', 'star', 'formation', 'activity', 'in', 'a', 'galaxy', 'and', 'its', 'density', 'environment', 'a', 'bulk', 'of', 'cvni', 'galaxies', 'had', 'enough', 'time', 'to', 'generate', 'their', 'baryon', 'mass', 'with', 'the', 'observed', 'sfr', 'most', 'of', 'them', 'possess', 'also', 'a', 'supply', 'of', 'gas', 'sufficient', 'to', 'maintain', 'their', 'observed', 'sfrs', 'during', 'the', 'next', 'hubble', 'time']] | [-0.07062164273035403, 0.08499293633346967, -0.02847657732150339, 0.13214176086748533, -0.052772313775824954, -0.023349697437427992, 0.0701461177441483, 0.48925436096569747, -0.09708264379362504, -0.3771059167313766, 0.038070584804229174, -0.28379488762151056, 0.011648080812053794, 0.17450740005068005, -0.03706251799809278, -0.043824962878200154, 0.028347070925003777, -0.054283835210982734, -0.052230366617969586, -0.3383011829557148, 0.2892425902978788, 0.04647975684645592, 0.17599733027048303, -0.04337254096588767, 0.04927208954270216, -0.1439706459141944, -0.13204618100347723, -0.048192724166107724, -0.18980475923323886, 0.0376484062958588, 0.26539238392547143, 0.1499303152160521, 0.23271344103751349, -0.34813182800347714, -0.16314340174175032, 0.10256173601126338, 0.20398871105904062, 0.019926364100967528, -0.12856038112246188, -0.25135578109440226, 0.0338185181575398, -0.20377469820247845, -0.16496601692030985, 0.10317035146546386, 0.10880266239285363, 0.06298931581686508, -0.2039586221997408, 0.21562227943325118, -0.034228211805448994, 0.11292786022701057, -0.13723084306862893, -0.07254326820013555, -0.1424762645062614, 0.09889318694852636, -0.026639254400440564, 0.09079410523219127, 0.23504043601004157, -0.17944771075969668, 0.04584850726941442, 0.3878717616411811, -0.07517459288285715, 0.04951837652937529, 0.260962737195775, -0.23655260833564828, -0.15905422036344488, 0.1336093283331035, 0.14796730523255278, 0.09936967531404069, -0.19256302220284516, -0.018250311954369675, -0.026341915007594786, 0.20613437898932618, 0.037921723057614994, 0.11533446549629901, 0.3244880349342282, 0.09535388223800464, 0.07093547806077709, 0.044113871345877756, -0.22992872622987778, -0.02025576757187856, -0.21517339824362003, -0.10744545785115754, -0.13531112811670157, 0.08408490017532035, -0.12544522215471873, -0.11575979886061334, 0.3311837671179298, 0.07673451793710338, 0.25306616999053705, 0.11026394541263052, 0.27616719216610314, 0.06540807009243624, 0.16070124360151483, 0.13899182872384364, 0.26557946540679495, 0.20905930409703324, 0.08916628993849487, -0.26386659027651904, 0.07856579738626164, -0.005786156185228933] |
710.0712 | Molecular Evolution and Star Formation: From Prestellar Cores to
Protostellar Cores | We investigate molecular evolution in a star-forming core that is initially a
hydrostatic starless core and collapses to form a low-mass protostar. The
results of a one-dimensional radiation-hydrodynamics calculation are adopted as
a physical model of the core. We first derive radii at which CO and large
organic species sublimate. CO sublimation in the central region starts shortly
before the formation of the first hydrostatic core. When the protostar is born,
the CO sublimation radius extends to 100 AU, and the region inside $\lesssim
10$ AU is hotter than 100 K, at which some large organic species evaporate. We
calculate the temporal variation of physical parameters in infalling shells, in
which the molecular evolution is solved using an updated gas-grain chemical
model to derive the spatial distribution of molecules in a protostellar core.
The shells pass through the warm region of $10 -100$ K in several $\times$
$10^4$ yr, and fall into the central star $\sim 100$ yr after they enter the
region where $T \gtrsim 100$ K. We find that large organic species are formed
mainly via grain-surface reactions at temperatures of $20 -40$ K and then
desorbed into the gas-phase at their sublimation temperatures. Carbon-chain
species can be formed by a combination of gas-phase reactions and grain-surface
reactions following the sublimation of CH$_4$. Our model also predicts that
CO$_2$ is more abundant in isolated cores, while gas-phase large organic
species are more abundant in cores embedded in ambient clouds.
| astro-ph | we investigate molecular evolution in a starforming core that is initially a hydrostatic starless core and collapses to form a lowmass protostar the results of a onedimensional radiationhydrodynamics calculation are adopted as a physical model of the core we first derive radii at which co and large organic species sublimate co sublimation in the central region starts shortly before the formation of the first hydrostatic core when the protostar is born the co sublimation radius extends to 100 au and the region inside lesssim 10 au is hotter than 100 k at which some large organic species evaporate we calculate the temporal variation of physical parameters in infalling shells in which the molecular evolution is solved using an updated gasgrain chemical model to derive the spatial distribution of molecules in a protostellar core the shells pass through the warm region of 10 100 k in several times 104 yr and fall into the central star sim 100 yr after they enter the region where t gtrsim 100 k we find that large organic species are formed mainly via grainsurface reactions at temperatures of 20 40 k and then desorbed into the gasphase at their sublimation temperatures carbonchain species can be formed by a combination of gasphase reactions and grainsurface reactions following the sublimation of ch_4 our model also predicts that co_2 is more abundant in isolated cores while gasphase large organic species are more abundant in cores embedded in ambient clouds | [['we', 'investigate', 'molecular', 'evolution', 'in', 'a', 'starforming', 'core', 'that', 'is', 'initially', 'a', 'hydrostatic', 'starless', 'core', 'and', 'collapses', 'to', 'form', 'a', 'lowmass', 'protostar', 'the', 'results', 'of', 'a', 'onedimensional', 'radiationhydrodynamics', 'calculation', 'are', 'adopted', 'as', 'a', 'physical', 'model', 'of', 'the', 'core', 'we', 'first', 'derive', 'radii', 'at', 'which', 'co', 'and', 'large', 'organic', 'species', 'sublimate', 'co', 'sublimation', 'in', 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710.0713 | Corrections to the running of gauge couplings due to quantum gravity | Concerning the gravitational corrections to the running of gauge couplings
two different results were reported. Some authors claim that gravitational
correction at the one-loop level indicates an interesting effect of universal
gravitational decreasing of gauge couplings, that is, gravitational correction
works universally in the direction of asymptotic freedom no matter how the
gauge coupling behaves without gravity, while others reject the presence of
gravitational correction at the one-loop level at all. Being these calculations
done in the framework of an effective field theory approach to general
relativity, we wanted to draw attention to a recently discovered profound
quantum-gravitational effect of space-time dimension running that inevitably
affects the running of gauge couplings. The running of space-time dimension
indicating gradual reduction of dimension as one gets into smaller scales acts
on the coupling constants in the direction of asymptotic freedom and therefore
in any case manifests the plausibility of this quantum-gravitational effect.
Curiously enough, the results are also in perfect quantitative agreement with
those of Robinson and Wilczek.
| hep-th gr-qc hep-ph | concerning the gravitational corrections to the running of gauge couplings two different results were reported some authors claim that gravitational correction at the oneloop level indicates an interesting effect of universal gravitational decreasing of gauge couplings that is gravitational correction works universally in the direction of asymptotic freedom no matter how the gauge coupling behaves without gravity while others reject the presence of gravitational correction at the oneloop level at all being these calculations done in the framework of an effective field theory approach to general relativity we wanted to draw attention to a recently discovered profound quantumgravitational effect of spacetime dimension running that inevitably affects the running of gauge couplings the running of spacetime dimension indicating gradual reduction of dimension as one gets into smaller scales acts on the coupling constants in the direction of asymptotic freedom and therefore in any case manifests the plausibility of this quantumgravitational effect curiously enough the results are also in perfect quantitative agreement with those of robinson and wilczek | [['concerning', 'the', 'gravitational', 'corrections', 'to', 'the', 'running', 'of', 'gauge', 'couplings', 'two', 'different', 'results', 'were', 'reported', 'some', 'authors', 'claim', 'that', 'gravitational', 'correction', 'at', 'the', 'oneloop', 'level', 'indicates', 'an', 'interesting', 'effect', 'of', 'universal', 'gravitational', 'decreasing', 'of', 'gauge', 'couplings', 'that', 'is', 'gravitational', 'correction', 'works', 'universally', 'in', 'the', 'direction', 'of', 'asymptotic', 'freedom', 'no', 'matter', 'how', 'the', 'gauge', 'coupling', 'behaves', 'without', 'gravity', 'while', 'others', 'reject', 'the', 'presence', 'of', 'gravitational', 'correction', 'at', 'the', 'oneloop', 'level', 'at', 'all', 'being', 'these', 'calculations', 'done', 'in', 'the', 'framework', 'of', 'an', 'effective', 'field', 'theory', 'approach', 'to', 'general', 'relativity', 'we', 'wanted', 'to', 'draw', 'attention', 'to', 'a', 'recently', 'discovered', 'profound', 'quantumgravitational', 'effect', 'of', 'spacetime', 'dimension', 'running', 'that', 'inevitably', 'affects', 'the', 'running', 'of', 'gauge', 'couplings', 'the', 'running', 'of', 'spacetime', 'dimension', 'indicating', 'gradual', 'reduction', 'of', 'dimension', 'as', 'one', 'gets', 'into', 'smaller', 'scales', 'acts', 'on', 'the', 'coupling', 'constants', 'in', 'the', 'direction', 'of', 'asymptotic', 'freedom', 'and', 'therefore', 'in', 'any', 'case', 'manifests', 'the', 'plausibility', 'of', 'this', 'quantumgravitational', 'effect', 'curiously', 'enough', 'the', 'results', 'are', 'also', 'in', 'perfect', 'quantitative', 'agreement', 'with', 'those', 'of', 'robinson', 'and', 'wilczek']] | [-0.17101958786496466, 0.17141337404521995, -0.10433756535261286, 0.10235868427966979, -0.11544260046029665, -0.14620280055138452, 0.011505774440417761, 0.2907703855069332, -0.17572898523186345, -0.32033586962126104, 0.011561428097845336, -0.29283809435206004, -0.1446564292537991, 0.1546520166820005, -0.011181857335908586, -4.14062706551638e-05, 0.003274402743856232, 0.058089856759656264, -0.07538678966243807, -0.28744134235796126, 0.3167851786627098, 0.12309462797171604, 0.2515504176234714, 0.10240008395602815, 0.08097260814308783, 0.0013175755317776298, -0.045949562885083194, 0.033980181841852974, -0.09819205810454588, 0.045411493233685575, 0.1747455924149064, 0.040851024668158806, 0.22663179411081574, -0.41010898460510625, -0.21806838138082277, 0.07516984237885349, 0.1341952685759745, 0.1921833740752078, -0.039289020343419974, -0.28590089138400887, 0.04747045028942735, -0.16869566362934657, -0.1773986455350441, -0.050264247524810124, 0.02094248058035947, -0.1153749225395367, -0.23463377344186406, 0.07475687815360332, 0.053239146205428314, 0.03344083312966024, -0.021969982650108546, -0.10673701352052704, -0.022758670975959086, 0.1052928291862909, 0.16315582441025783, 0.0553665767828457, 0.13991672631229712, -0.16070955477238363, -0.1222127938183047, 0.39356400933486957, -0.11423518630277635, -0.19177447970821915, 0.17050134039382978, -0.1787398077424122, -0.17249701256269073, 0.11762825630784753, 0.13562887258328363, 0.08246867080970881, -0.09544800523758294, 0.16629550460773712, 0.03305104280070188, 0.16501447737163652, 0.1222974326186645, 0.08777165683669266, 0.21698216600231376, 0.07710676575752806, 0.013267358253059169, 0.10205393083988273, -0.008648220251920262, -0.11254610008201058, -0.36460881982649485, -0.10977806608719998, -0.13921501433423508, 0.06349832836695644, -0.15515756176091053, -0.1354289916343987, 0.3571062262874119, 0.1781446864107534, 0.1305779208687235, 0.04982925032325796, 0.2667346814512668, 0.1076151299162723, 0.09865408941699438, 0.04533228668361813, 0.34790214162732963, 0.14266395705881113, 0.06541108813821282, -0.2651045997087081, 0.02085957694265722, 0.07775991303139333] |
710.0714 | Light-front quark model analysis of heavy meson radiative decays | We present the magnetic dipole($M1$) transitions $V\to P\gamma$ of various
heavy-flavored mesons such as $(D,D^*,D_s,D^{*}_s,\eta_c, J/\psi)$ and
$(B,B^*,B_s,B^*_s,\eta_b,\Upsilon)$ using the light-front quark model
constrained by the variational principle for the QCD-motivated effective
Hamiltonian. The weak decay constants of heavy mesons and the decay widths for
$V\to P\gamma$ are calculated. The radiative decay for
$\Upsilon\to\eta_{b}\gamma$ process is found to be very helpful to determine
the unmeasured mass of $\eta_b$. Our numerical results are overall in good
agreement with the available experimental data as well as other theoretical
model calculations.
| hep-ph | we present the magnetic dipolem1 transitions vto pgamma of various heavyflavored mesons such as ddd_sd_seta_c jpsi and bbb_sb_seta_bupsilon using the lightfront quark model constrained by the variational principle for the qcdmotivated effective hamiltonian the weak decay constants of heavy mesons and the decay widths for vto pgamma are calculated the radiative decay for upsilontoeta_bgamma process is found to be very helpful to determine the unmeasured mass of eta_b our numerical results are overall in good agreement with the available experimental data as well as other theoretical model calculations | [['we', 'present', 'the', 'magnetic', 'dipolem1', 'transitions', 'vto', 'pgamma', 'of', 'various', 'heavyflavored', 'mesons', 'such', 'as', 'ddd_sd_seta_c', 'jpsi', 'and', 'bbb_sb_seta_bupsilon', 'using', 'the', 'lightfront', 'quark', 'model', 'constrained', 'by', 'the', 'variational', 'principle', 'for', 'the', 'qcdmotivated', 'effective', 'hamiltonian', 'the', 'weak', 'decay', 'constants', 'of', 'heavy', 'mesons', 'and', 'the', 'decay', 'widths', 'for', 'vto', 'pgamma', 'are', 'calculated', 'the', 'radiative', 'decay', 'for', 'upsilontoeta_bgamma', 'process', 'is', 'found', 'to', 'be', 'very', 'helpful', 'to', 'determine', 'the', 'unmeasured', 'mass', 'of', 'eta_b', 'our', 'numerical', 'results', 'are', 'overall', 'in', 'good', 'agreement', 'with', 'the', 'available', 'experimental', 'data', 'as', 'well', 'as', 'other', 'theoretical', 'model', 'calculations']] | [-0.020172081682609304, 0.21066604652774654, -0.04750728466370631, 0.1780892951585537, -0.040741250051983764, -0.14375848795420357, 0.04831454268978199, 0.37039690446995555, -0.22635979214239688, -0.2622983919365132, -0.023780825136262656, -0.3153788917587094, 0.005861560315159815, 0.17758340968672806, 0.12348290515642259, 0.1660351688929257, 0.1168031606246673, 0.028408938747209806, -0.05745450354602542, -0.1401170688526084, 0.28726250519754276, 0.03351209719576651, 0.19684130559852792, 0.15421417900471993, -0.026757053070468828, -0.011251734558581597, -0.001879995927170274, -0.06051216398676237, -0.18353865191983504, 0.05645024626781898, 0.23162198556140842, 0.07976069995423868, 0.11165997204149053, -0.3769873750972606, -0.15699071027726555, 0.08192757882976107, 0.16784452011398526, 0.12390437510718282, -0.0514129078392649, -0.3448874222480559, 0.11153006486018144, -0.18056738643818313, -0.10582160823867612, -0.17656277509273163, -0.0028246871107036157, 0.011692511849105358, -0.37868713024294093, 0.10454890232116061, -0.08026828438215446, 0.02158106037703484, -0.07374558435098845, -0.25974377238058616, -0.04312523070534337, 0.08921714894296158, 0.1653592085650806, 0.10051647860867281, 0.15140058861358002, -0.10915556760682237, -0.12807399916623363, 0.45230712422302793, -0.09873018762196548, -0.17158464448792593, 0.11263884673826396, -0.1245915201392823, -0.13378664346722266, 0.1333552347108101, 0.1707168278738945, 0.08685595701847758, -0.18550052971667833, 0.0863690587312227, -0.04189142132444041, 0.11142924791368257, -0.00936014581626902, 0.09327983486365979, 0.12111575968031373, 0.18080364376129138, -0.10371579882866215, 0.0543868952185481, -0.05756894417018408, -0.10526339296207186, -0.40922332444183884, -0.11332389447835296, -0.11402143142740465, 0.07787820694336135, -0.09218538614299004, -0.0828591980139858, 0.3364841540543629, 0.04883875473335918, 0.25759865240459995, 0.03831868174131073, 0.2962168266420208, 0.12857604632431285, 0.015244775052581514, 0.06815842175967105, 0.34910623070650865, 0.2258531000448524, 0.10325663938697073, -0.3215323605968262, 0.05450037677794518, 0.037931342903036805] |
710.0715 | Effect of Ti4+ substitution on structural, transport and magnetic
properties of La0.67Sr0.33Mn1-xTixO3 | La$_{0.67}$Sr$_{0.33}$Mn$_{1-x}$Ti$_x$O$_{3}$ ($0 \le x \le 0.20$)
polycrystalline materials are prepared by employing lower annealing temperature
compared to the temperatures reported for the materials of the same
composition. The transport and magnetic properties of these materials are
significantly different from those compounds prepared at higher annealing
temperature. Samples with $x < 0.10$, show metal-insulator transition and those
with $x \ge 0.10$ exhibit insulating behavior over the entire temperature range
investigated. A gradual transition occurs from ferromagnetic-metallic state to
ferromagnetic-insulator state with increasing Ti substitution. Lattice
parameters and bond lengths of Mn and its near neighbours however do not change
appreciably with the dopant content $x$ in these materials. It is shown that
Ti$^{4+}$ doping in the low temperature annealed samples is inhomogeneous
resulting in isolated Mn rich regions that are connected by a variable range
hopping polaron.
| cond-mat.str-el cond-mat.mtrl-sci | la_067sr_033mn_1xti_xo_3 0 le x le 020 polycrystalline materials are prepared by employing lower annealing temperature compared to the temperatures reported for the materials of the same composition the transport and magnetic properties of these materials are significantly different from those compounds prepared at higher annealing temperature samples with x 010 show metalinsulator transition and those with x ge 010 exhibit insulating behavior over the entire temperature range investigated a gradual transition occurs from ferromagneticmetallic state to ferromagneticinsulator state with increasing ti substitution lattice parameters and bond lengths of mn and its near neighbours however do not change appreciably with the dopant content x in these materials it is shown that ti4 doping in the low temperature annealed samples is inhomogeneous resulting in isolated mn rich regions that are connected by a variable range hopping polaron | [['la_067sr_033mn_1xti_xo_3', '0', 'le', 'x', 'le', '020', 'polycrystalline', 'materials', 'are', 'prepared', 'by', 'employing', 'lower', 'annealing', 'temperature', 'compared', 'to', 'the', 'temperatures', 'reported', 'for', 'the', 'materials', 'of', 'the', 'same', 'composition', 'the', 'transport', 'and', 'magnetic', 'properties', 'of', 'these', 'materials', 'are', 'significantly', 'different', 'from', 'those', 'compounds', 'prepared', 'at', 'higher', 'annealing', 'temperature', 'samples', 'with', 'x', '010', 'show', 'metalinsulator', 'transition', 'and', 'those', 'with', 'x', 'ge', '010', 'exhibit', 'insulating', 'behavior', 'over', 'the', 'entire', 'temperature', 'range', 'investigated', 'a', 'gradual', 'transition', 'occurs', 'from', 'ferromagneticmetallic', 'state', 'to', 'ferromagneticinsulator', 'state', 'with', 'increasing', 'ti', 'substitution', 'lattice', 'parameters', 'and', 'bond', 'lengths', 'of', 'mn', 'and', 'its', 'near', 'neighbours', 'however', 'do', 'not', 'change', 'appreciably', 'with', 'the', 'dopant', 'content', 'x', 'in', 'these', 'materials', 'it', 'is', 'shown', 'that', 'ti4', 'doping', 'in', 'the', 'low', 'temperature', 'annealed', 'samples', 'is', 'inhomogeneous', 'resulting', 'in', 'isolated', 'mn', 'rich', 'regions', 'that', 'are', 'connected', 'by', 'a', 'variable', 'range', 'hopping', 'polaron']] | [-0.10732848200262454, 0.287613761041369, -0.0047607823438358616, -0.021968223455139615, 0.056311074705141136, -0.1833486494420569, 0.12622517036315775, 0.46715655945130247, -0.2588674328776438, -0.3175296812220963, 0.013228258591513636, -0.3773057613549615, -0.019149075828687245, 0.1309598877603786, 0.03211412426612493, -0.020139724374557636, -0.03933936066351268, -0.03387823964880932, -0.1876784728235329, -0.2533326499692317, 0.2513530030777094, 0.009573283299470126, 0.3309885321355272, 0.029020263440733246, 0.016754972574704173, -0.03118154860046039, 0.17695088608454523, 0.05274777170687692, -0.19804386626861714, -0.004984392899213664, 0.2922696738656777, -0.0837261187826603, 0.15792403508450337, -0.3765603108974452, -0.25705749952623536, 0.03748287122224027, 0.11559071511016297, 0.07400631889865522, -0.09095720210765947, -0.2394601855315824, 0.09830639849125004, -0.08981515435891142, -0.0880208259566562, -0.05509964789658326, 0.01322640625259547, 0.029586121948164845, -0.24043130723815134, 0.11600969017677899, 0.05304620344428095, 0.12225929316161062, -0.10607254054873431, -0.23891272989741125, -0.1520384339261244, 0.05312031482471459, 0.027699517082673177, 0.07443525973332128, 0.205448785476185, -0.07355465254496171, -0.021141274834795398, 0.3364776736507609, -0.03789741992811436, -0.03164925120437323, 0.21605217389748502, -0.22583404567732074, -0.08363720193963999, 0.24417589669317397, 0.08858691187881267, 0.14784155165039892, -0.12945239976354278, 0.09534660464786028, 0.05621945675907295, 0.21678021840000553, 0.04716075157552068, 0.06153909502196501, 0.1916976754758646, 0.17391221367305756, 0.011330747475618247, 0.10979718914074796, -0.07432197640413668, -0.020124789393409642, -0.16797408481031212, -0.17140667844535923, -0.2260094856871153, 0.09438670362155178, -0.13233662358052514, -0.17856152366508848, 0.3161516846435617, 0.15963152336450154, 0.21831234836770194, -0.03837922899933869, 0.12685958652604204, 0.07585763944479734, 0.04864554216654332, 0.04379604900005593, 0.18648965070858153, 0.14307171896225146, 0.14328606318553855, -0.22383658518952165, 0.15963057080047455, -0.0049168555163291855] |
710.0716 | The Boltzmann-Grad limit of the periodic Lorentz gas in two space
dimensions | The periodic Lorentz gas is the dynamical system corresponding to the free
motion of a point particle in a periodic system of fixed spherical obstacles of
radius $r$ centered at the integer points, assuming all collisions of the
particle with the obstacles to be elastic. In this Note, we study this motion
on time intervals of order $1/r$ and in the limit as $r\to 0^+$, in the case of
two space dimensions.
| math.DS math-ph math.MP | the periodic lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius r centered at the integer points assuming all collisions of the particle with the obstacles to be elastic in this note we study this motion on time intervals of order 1r and in the limit as rto 0 in the case of two space dimensions | [['the', 'periodic', 'lorentz', 'gas', 'is', 'the', 'dynamical', 'system', 'corresponding', 'to', 'the', 'free', 'motion', 'of', 'a', 'point', 'particle', 'in', 'a', 'periodic', 'system', 'of', 'fixed', 'spherical', 'obstacles', 'of', 'radius', 'r', 'centered', 'at', 'the', 'integer', 'points', 'assuming', 'all', 'collisions', 'of', 'the', 'particle', 'with', 'the', 'obstacles', 'to', 'be', 'elastic', 'in', 'this', 'note', 'we', 'study', 'this', 'motion', 'on', 'time', 'intervals', 'of', 'order', '1r', 'and', 'in', 'the', 'limit', 'as', 'rto', '0', 'in', 'the', 'case', 'of', 'two', 'space', 'dimensions']] | [-0.18290576287755458, 0.13431686561832773, -0.08425665878328598, -0.0017761437096244965, 0.023324066213616688, -0.0736641880438482, 0.010905169228660978, 0.3444084720686078, -0.2811808791787674, -0.23498780079858583, 0.11492829554481432, -0.29854650535465527, -0.07289091859840685, 0.13060922857645588, -0.030644252845377196, 0.0809008152379344, 0.017854685047900096, 0.08470869684242643, -0.05522805064295729, -0.2181099807267957, 0.33477652401456404, 0.003607962319316963, 0.14083174737040988, 0.011932696112328105, 0.10731342828108205, 0.0544680725175163, 0.038705200836476356, 0.04619788563407686, -0.1613123500849017, 0.06602692764176431, 0.17235247125952607, -0.013895895571396168, 0.2454809139534417, -0.3999203568350317, -0.17961171400060671, 0.13528405148665318, 0.1509708417708882, 0.08076355564925405, 0.017468626447629906, -0.2625012133859046, 0.08941123673381905, -0.13962272718910956, -0.23854734220852455, 0.04118693279775067, 0.09908749567370655, 0.05999822574408932, -0.2771782350415985, 0.07691009588436121, 0.10554646954591994, 0.06686922267827969, -0.08379661756205475, -0.0691110774609519, 0.02523994261153146, 0.10317176797737677, 0.09409781384036048, 0.04889448189836306, 0.13905830265462604, -0.09513611305899555, -0.06848996586631984, 0.43818915355950594, -0.04629094167224442, -0.2397481181865765, 0.2159899766686269, -0.22608558219184893, -0.088139181659143, 0.16634863052361956, 0.20015805652979501, 0.11749292049919152, -0.13499112071521166, 0.15429326658987622, -0.04118550054004623, 0.14625441465573708, 0.1158923229150888, 0.0018407844893065179, 0.22830383593423498, 0.14815171426420826, 0.11046247063333997, 0.12485210902620263, -0.12638802584196027, -0.08907142080392481, -0.3892787147002916, -0.1717514530238178, -0.2120077272168904, 0.04087524263498684, -0.12904828910359356, -0.1590631906874478, 0.34611421093318817, 0.12245076500241542, 0.2219799724407494, 0.040422951673260994, 0.247562297529334, 0.12234164157254984, 0.0005328033585101366, 0.0864601796428259, 0.19926945256560835, 0.053693852012252644, 0.09554516546066022, -0.21942806388122132, -0.06900581684506808, 0.09364624417179988] |
710.0717 | Ultrafast coelectrophoretic fluorescent staining of proteins with
carbocyanines | Protein detection on SDS gels or on 2-D gels must combine several features,
such as sensitivity, homogeneity from one protein to another, speed, low cost,
and user-friendliness. For some applications, it is also interesting to have a
nonfixing stain, so that proteins can be mobilized from the gel for further use
(electroelution, blotting). We show here that coelectrophoretic staining by
fluorophores of the oxacarbocyanine family, and especially
diheptyloxacarbocyanine, offers several positive features. The sensitivity is
intermediate between the one of colloidal CBB and the one of fluroescent
ruthenium complexes. Detection is achieved within 1 h after the end of the
electrophoretic process and does not use any fixing or toxic agent. The
fluorescent SDS-carbocyanine-protein complexes can be detected either with a
laser scanner with an excitation wavelength of 488 nm or with a UV table
operating at 302 nm. Excellent sequence coverage in subsequent MS analysis of
proteolytic peptides is also achieved with this detection method.
| q-bio.GN | protein detection on sds gels or on 2d gels must combine several features such as sensitivity homogeneity from one protein to another speed low cost and userfriendliness for some applications it is also interesting to have a nonfixing stain so that proteins can be mobilized from the gel for further use electroelution blotting we show here that coelectrophoretic staining by fluorophores of the oxacarbocyanine family and especially diheptyloxacarbocyanine offers several positive features the sensitivity is intermediate between the one of colloidal cbb and the one of fluroescent ruthenium complexes detection is achieved within 1 h after the end of the electrophoretic process and does not use any fixing or toxic agent the fluorescent sdscarbocyanineprotein complexes can be detected either with a laser scanner with an excitation wavelength of 488 nm or with a uv table operating at 302 nm excellent sequence coverage in subsequent ms analysis of proteolytic peptides is also achieved with this detection method | [['protein', 'detection', 'on', 'sds', 'gels', 'or', 'on', '2d', 'gels', 'must', 'combine', 'several', 'features', 'such', 'as', 'sensitivity', 'homogeneity', 'from', 'one', 'protein', 'to', 'another', 'speed', 'low', 'cost', 'and', 'userfriendliness', 'for', 'some', 'applications', 'it', 'is', 'also', 'interesting', 'to', 'have', 'a', 'nonfixing', 'stain', 'so', 'that', 'proteins', 'can', 'be', 'mobilized', 'from', 'the', 'gel', 'for', 'further', 'use', 'electroelution', 'blotting', 'we', 'show', 'here', 'that', 'coelectrophoretic', 'staining', 'by', 'fluorophores', 'of', 'the', 'oxacarbocyanine', 'family', 'and', 'especially', 'diheptyloxacarbocyanine', 'offers', 'several', 'positive', 'features', 'the', 'sensitivity', 'is', 'intermediate', 'between', 'the', 'one', 'of', 'colloidal', 'cbb', 'and', 'the', 'one', 'of', 'fluroescent', 'ruthenium', 'complexes', 'detection', 'is', 'achieved', 'within', '1', 'h', 'after', 'the', 'end', 'of', 'the', 'electrophoretic', 'process', 'and', 'does', 'not', 'use', 'any', 'fixing', 'or', 'toxic', 'agent', 'the', 'fluorescent', 'sdscarbocyanineprotein', 'complexes', 'can', 'be', 'detected', 'either', 'with', 'a', 'laser', 'scanner', 'with', 'an', 'excitation', 'wavelength', 'of', '488', 'nm', 'or', 'with', 'a', 'uv', 'table', 'operating', 'at', '302', 'nm', 'excellent', 'sequence', 'coverage', 'in', 'subsequent', 'ms', 'analysis', 'of', 'proteolytic', 'peptides', 'is', 'also', 'achieved', 'with', 'this', 'detection', 'method']] | [-0.04078384851415952, 0.13601802227795512, -0.057027214144666986, -0.003602680555716991, -0.012905467026866973, -0.1838862893388917, 0.051435170028513916, 0.4696168274184068, -0.2518816335126758, -0.2958642239496112, 0.10939440311786408, -0.29858350530266764, -0.1358453592301036, 0.17711279881031564, -0.05341123334908237, -6.88098471922179e-05, 0.07451224862442662, 0.03418237914641698, 0.012805836676852778, -0.200496456984741, 0.22925390041510885, 0.05521523411851376, 0.24335617835012574, 0.08211750593036413, 0.10096086606072883, -0.032553011363682646, 0.047125274208568345, 0.003006938559313615, -0.12581738983329463, 0.1226643434818834, 0.2529543861622612, 0.1109202833690991, 0.2711262927980473, -0.39963973658780255, -0.22542779634396234, 0.09691174403143425, 0.1587637970719273, 0.11271656952798366, -0.06477781916192422, -0.2624018592108041, 0.1296546577165524, -0.11823373002543425, -0.08287299325553855, -0.05056991099845618, -0.00625930309916536, 0.05215910516368846, -0.23025904851422335, 0.05416420005378313, 0.021607049728433293, 0.10873847435150917, -0.06302265984627108, -0.10357815721382697, -0.05301977531053126, 0.1269128330781435, 0.017926360033258485, 0.01869424093592291, 0.21688154712319374, -0.13823873338755222, -0.08971239046193659, 0.37011423307897834, -0.06900686425467333, -0.1523078238374243, 0.23963176301214845, -0.09927672769098232, -0.1258814663758191, 0.20331442491772275, 0.09950796793214976, 0.13921516451441374, -0.13548900123685598, 0.0039816445898031814, 0.022372020858650407, 0.2622617667292555, 0.14459413886846353, 0.016192278061062097, 0.2041468296200037, 0.21021789343406758, 0.030557566966551045, 0.13326949673394362, -0.15817223459792634, -0.0016647147581291695, -0.20536063001801572, -0.19764965028191606, -0.16786540010458945, 0.06329790139347703, -0.0876688842549144, -0.14167563760032256, 0.3610383232496679, 0.1157025590694199, 0.17380708535667508, 0.04803606021528443, 0.254852672641476, 0.008418921299744397, 0.10814599411562086, -0.03823591141495854, 0.22071107264394715, 0.05024235585704446, 0.08648269695540269, -0.19127968461873632, 0.0900646944778661, 0.010972562224293748] |
710.0718 | Exchange-energy functionals for finite two-dimensional systems | Implicit and explicit density functionals for the exchange energy in finite
two-dimensional systems are developed following the approach of Becke and
Roussel [Phys. Rev. A 39, 3761 (1989)]. Excellent agreement for the
exchange-hole potentials and exchange energies is found when compared with the
exact-exchange reference data for the two-dimensional uniform electron gas and
few-electron quantum dots, respectively. Thereby, this work significantly
improves the availability of approximate density functionals for dealing with
electrons in quasi-two-dimensional structures, which have various applications
in semiconductor nanotechnology.
| cond-mat.str-el | implicit and explicit density functionals for the exchange energy in finite twodimensional systems are developed following the approach of becke and roussel phys rev a 39 3761 1989 excellent agreement for the exchangehole potentials and exchange energies is found when compared with the exactexchange reference data for the twodimensional uniform electron gas and fewelectron quantum dots respectively thereby this work significantly improves the availability of approximate density functionals for dealing with electrons in quasitwodimensional structures which have various applications in semiconductor nanotechnology | [['implicit', 'and', 'explicit', 'density', 'functionals', 'for', 'the', 'exchange', 'energy', 'in', 'finite', 'twodimensional', 'systems', 'are', 'developed', 'following', 'the', 'approach', 'of', 'becke', 'and', 'roussel', 'phys', 'rev', 'a', '39', '3761', '1989', 'excellent', 'agreement', 'for', 'the', 'exchangehole', 'potentials', 'and', 'exchange', 'energies', 'is', 'found', 'when', 'compared', 'with', 'the', 'exactexchange', 'reference', 'data', 'for', 'the', 'twodimensional', 'uniform', 'electron', 'gas', 'and', 'fewelectron', 'quantum', 'dots', 'respectively', 'thereby', 'this', 'work', 'significantly', 'improves', 'the', 'availability', 'of', 'approximate', 'density', 'functionals', 'for', 'dealing', 'with', 'electrons', 'in', 'quasitwodimensional', 'structures', 'which', 'have', 'various', 'applications', 'in', 'semiconductor', 'nanotechnology']] | [-0.08026313564311373, 0.09780102011906665, -0.01965934130726609, 0.03538696669473699, 0.056872676798176564, -0.15297764450561527, 0.0304208615902675, 0.3622763075733773, -0.15106438121917407, -0.33135563528403733, -0.04323178548337438, -0.3316958600984568, -0.07542365078428169, 0.24090934719140755, -0.012076462346424417, 0.10296281638680162, 0.0489443271171029, -0.06208260834398793, -0.09295704041142017, -0.2257924204374232, 0.20703798021394304, 0.10294782556025539, 0.32413863245306945, 0.08676013655438111, 0.05421109979251036, 0.06823164010250078, 0.028433302813493534, 0.0032049322205527525, -0.18432962361484675, 0.1471185142702491, 0.275805451475629, -0.07717962592567612, 0.2566140593461147, -0.44483552601688153, -0.24623038205204578, 0.03370015695691109, 0.09951748856536408, 0.13037957378418935, -0.09015443157858966, -0.28911570485726723, 0.05183068057806117, -0.22593838828275117, -0.10642359971364097, -0.12149202130825781, 0.06322968202620381, 0.10888539661835062, -0.30012082615185803, 0.15153786954583554, 0.007189723660192657, 0.05009998057446465, -0.09129417073208748, -0.13239940641470616, -0.012642089920629544, 0.01788373411776464, -0.02412907196004398, 0.08709518688094871, 0.10979233998464556, -0.08308219634530294, -0.10613980010242724, 0.36701878278357225, -0.04102511563701782, -0.15961524007115058, 0.2237695514497052, -0.09529395713811604, -0.10127852661478356, 0.12516843907466932, 0.11427055783967328, 0.07658522020139527, -0.17264726080043702, 0.2053307866899115, -0.0030318542139422967, 0.120962537785356, 0.09736918073102105, 0.06689296696800384, 0.14476337944293713, 0.10844837520669055, 0.01611821400285585, 0.0592629897419545, -0.07557853081309032, -0.15374170479978003, -0.21132056119783624, -0.19964158078428448, -0.21803013292118545, 0.04974091159770402, -0.042715785427944644, -0.1577774711725552, 0.3575254935294208, 0.12180672327720947, 0.14757657796712365, 0.0004739429725038751, 0.2485219868007911, 0.11306425520196194, -4.577165946546124e-05, 0.1102425929829024, 0.2128678114812185, 0.19925638635801832, 0.10982115736526506, -0.21189565252989712, -0.0082438324589464, 0.022377758917239744] |
710.0719 | Nuclear Structure Relevant to Neutrinoless Double Beta Decay: 76Ge and
76Se | The possibility of observing neutrinoless double beta decay offers the
opportunity of determining the neutrino mass IF the nuclear matrix element were
known. Theoretical calculations are uncertain and measurements of the
occupations of valence orbits by nucleons active in the decay can be important.
The occupation of valence neutron orbits in the ground states of 76Ge and 76Se
were determined by precisely measuring cross sections for both neutron-adding
and removing transfer reactions. Our results indicate that the Fermi surface is
much more diffuse than in theoretical (QRPA) calculations. We find that the
populations of at least three orbits change significantly between these two
ground states while in the calculations the changes are confined primarily to
one orbit.
| nucl-ex | the possibility of observing neutrinoless double beta decay offers the opportunity of determining the neutrino mass if the nuclear matrix element were known theoretical calculations are uncertain and measurements of the occupations of valence orbits by nucleons active in the decay can be important the occupation of valence neutron orbits in the ground states of 76ge and 76se were determined by precisely measuring cross sections for both neutronadding and removing transfer reactions our results indicate that the fermi surface is much more diffuse than in theoretical qrpa calculations we find that the populations of at least three orbits change significantly between these two ground states while in the calculations the changes are confined primarily to one orbit | [['the', 'possibility', 'of', 'observing', 'neutrinoless', 'double', 'beta', 'decay', 'offers', 'the', 'opportunity', 'of', 'determining', 'the', 'neutrino', 'mass', 'if', 'the', 'nuclear', 'matrix', 'element', 'were', 'known', 'theoretical', 'calculations', 'are', 'uncertain', 'and', 'measurements', 'of', 'the', 'occupations', 'of', 'valence', 'orbits', 'by', 'nucleons', 'active', 'in', 'the', 'decay', 'can', 'be', 'important', 'the', 'occupation', 'of', 'valence', 'neutron', 'orbits', 'in', 'the', 'ground', 'states', 'of', '76ge', 'and', '76se', 'were', 'determined', 'by', 'precisely', 'measuring', 'cross', 'sections', 'for', 'both', 'neutronadding', 'and', 'removing', 'transfer', 'reactions', 'our', 'results', 'indicate', 'that', 'the', 'fermi', 'surface', 'is', 'much', 'more', 'diffuse', 'than', 'in', 'theoretical', 'qrpa', 'calculations', 'we', 'find', 'that', 'the', 'populations', 'of', 'at', 'least', 'three', 'orbits', 'change', 'significantly', 'between', 'these', 'two', 'ground', 'states', 'while', 'in', 'the', 'calculations', 'the', 'changes', 'are', 'confined', 'primarily', 'to', 'one', 'orbit']] | [-0.07804455490409525, 0.25787654419927375, -0.06912147194339797, 0.12646017298764742, 0.028173529286066007, -0.10038807736870287, 0.09221385063248252, 0.36461381280216676, -0.2058783691729708, -0.3278538676717415, 0.002805848732381931, -0.3614258736307765, -0.044924567090267126, 0.19210772692619277, 0.06896179383781192, 0.042284643341755045, 0.10541569280102804, 0.010773564675313036, -0.12345860633549505, -0.20649195393519315, 0.32496769845100315, 0.06927591613253001, 0.19155437988229096, 0.06992293393303609, -0.0281149304696712, 0.004230989207481516, -0.01717500975666616, -0.056498343462188697, -0.10199576729955252, 0.12245115999927482, 0.24712951079508738, 0.053760058900887336, 0.17821537459606368, -0.4290193228195582, -0.16133327005382883, 0.0769493837353115, 0.14858233247048638, 0.09537409807972867, -0.06686369438541769, -0.30287943753124824, 0.05556627251368401, -0.18327930229635717, -0.14390224690452733, -0.09002857210700689, 0.03677637962190884, 0.025494863358948475, -0.2366898107856255, 0.06674537196723294, -0.009148621337552523, 0.009998567832208836, -0.11320264885153879, -0.21780432378552084, -0.05107592992637114, 0.1375480100255588, 0.09204855414733676, -0.01698442817071517, 0.18225823683816747, -0.0995562301074548, -0.08807831983371027, 0.3867568430844052, -0.02126434329831431, -0.12822924685691572, 0.1508555907740033, -0.25543800633850283, -0.11702151286841274, 0.18909511873337986, 0.11962489982874229, 0.11382615920718245, -0.13271731864018688, 0.05677973144890435, -0.02481361800114271, 0.1683540934504106, 0.06051251670377779, 0.02966575712318821, 0.2399535740500894, 0.18378017950353437, 0.04649372320172602, 0.020436981135923096, -0.17071274579663215, -0.100086331146705, -0.2656221742508933, -0.12884324086540988, -0.13610413469020918, 0.03573945493252691, -0.025756768215520927, -0.11988822998607467, 0.4058842435479164, 0.05351459324472295, 0.1716800528791219, -0.03033013505748762, 0.2703530262706095, 0.08850416970631943, 0.05675197303584167, 0.056410446652644795, 0.33785704176487596, 0.1729664814433661, -0.014348006243255503, -0.2997522316913217, 0.10954147726618524, 0.021747822307275032] |
710.072 | The tensor of interaction of a two-level system with an arbitrary strain
field | The interaction between two-level systems (TLS) and strain fields in a solid
is contained in the diagonal matrix element of the interaction hamiltonian,
$\delta$, which, in general, has the expression $\delta=2[\gamma]:[S]$, with
the tensor $[\gamma]$ describing the TLS ``deformability'' and $[S]$ being the
symmetric strain tensor. We construct $[\gamma]$ on very general grounds, by
associating to the TLS two objects: a direction, $\hat\bt$, and a forth rank
tensor of coupling constants, $[[R]]$. Based on the method of construction and
on the invariance of the expression of $\delta$ with respect to the symmetry
transformation of the solid, we conclude that $[[R]]$ has the same structure as
the tensor of stiffness constants, $[[c]]$, from elasticity theory. In
particular, if the solid is isotropic, $[[R]]$ has only two independent
parameters, which are the equivalent of the Lam\'e constants. Employing this
model we calculate the absorption and emission rates of phonons on TLSs and
show that in isotropic solids, on average, the longitudinal phonons interact
stronger with the TLSs than the transversal ones, as it is observed in
experiments. We also show that in isotropic solids, a transversal wave leaves
unperturbed all the TLSs with the direction contained in one of the two planes
that are perpendicular either to the wave propagation direction or to the
polarization direction and that a longitudinal strain applied to the solid
polarises the TLS ensemble.
| cond-mat.dis-nn cond-mat.mtrl-sci | the interaction between twolevel systems tls and strain fields in a solid is contained in the diagonal matrix element of the interaction hamiltonian delta which in general has the expression delta2gammas with the tensor gamma describing the tls deformability and s being the symmetric strain tensor we construct gamma on very general grounds by associating to the tls two objects a direction hatbt and a forth rank tensor of coupling constants r based on the method of construction and on the invariance of the expression of delta with respect to the symmetry transformation of the solid we conclude that r has the same structure as the tensor of stiffness constants c from elasticity theory in particular if the solid is isotropic r has only two independent parameters which are the equivalent of the lame constants employing this model we calculate the absorption and emission rates of phonons on tlss and show that in isotropic solids on average the longitudinal phonons interact stronger with the tlss than the transversal ones as it is observed in experiments we also show that in isotropic solids a transversal wave leaves unperturbed all the tlss with the direction contained in one of the two planes that are perpendicular either to the wave propagation direction or to the polarization direction and that a longitudinal strain applied to the solid polarises the tls ensemble | [['the', 'interaction', 'between', 'twolevel', 'systems', 'tls', 'and', 'strain', 'fields', 'in', 'a', 'solid', 'is', 'contained', 'in', 'the', 'diagonal', 'matrix', 'element', 'of', 'the', 'interaction', 'hamiltonian', 'delta', 'which', 'in', 'general', 'has', 'the', 'expression', 'delta2gammas', 'with', 'the', 'tensor', 'gamma', 'describing', 'the', 'tls', 'deformability', 'and', 's', 'being', 'the', 'symmetric', 'strain', 'tensor', 'we', 'construct', 'gamma', 'on', 'very', 'general', 'grounds', 'by', 'associating', 'to', 'the', 'tls', 'two', 'objects', 'a', 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710.0721 | Noncommutative families of instantons | We construct $\theta$-deformations of the classical groups SL(2,H) and Sp(2).
Coacting on the basic instanton on a noncommutative four-sphere $S^4_\theta$,
we construct a noncommutative family of instantons of charge 1. The family is
parametrized by the quantum quotient of $SL_\theta(2,H)$ by $Sp_\theta(2)$.
| math.QA hep-th math-ph math.MP | we construct thetadeformations of the classical groups sl2h and sp2 coacting on the basic instanton on a noncommutative foursphere s4_theta we construct a noncommutative family of instantons of charge 1 the family is parametrized by the quantum quotient of sl_theta2h by sp_theta2 | [['we', 'construct', 'thetadeformations', 'of', 'the', 'classical', 'groups', 'sl2h', 'and', 'sp2', 'coacting', 'on', 'the', 'basic', 'instanton', 'on', 'a', 'noncommutative', 'foursphere', 's4_theta', 'we', 'construct', 'a', 'noncommutative', 'family', 'of', 'instantons', 'of', 'charge', '1', 'the', 'family', 'is', 'parametrized', 'by', 'the', 'quantum', 'quotient', 'of', 'sl_theta2h', 'by', 'sp_theta2']] | [-0.16106693530455232, 0.14458080460317432, -0.07008335755672306, 0.08929144240973982, -0.028939601499587297, -0.10463383954484015, -0.004063017148291692, 0.2823563765734434, -0.24299310557544232, -0.1915840925183147, 0.07112870278360788, -0.24848090764135122, -0.20103272802662103, 0.16026934487745165, -0.14226372505072504, -0.023336497880518437, -0.06539305336773396, 0.06042986015090719, -0.1428310612682253, -0.25589106120169164, 0.45570122059434653, -0.045632965714321475, 0.1974638266256079, 0.0083681232703384, 0.14672197867184877, 0.041918894660193474, -0.030807186919264495, -0.006342320976546034, -0.22572784251533448, 0.16998861759202555, 0.20070382999256253, 0.04644428459578194, 0.1380342236778233, -0.374057479063049, -0.15754211983876304, 0.1149794727563858, 0.10828638849779963, 0.08639249780899264, -0.031717974808998406, -0.3095580448512919, 0.0836995060206391, -0.22713139835977927, -0.13239341909065844, -0.09835916369920597, 0.028787227952852844, 0.020975905191153287, -0.1547430778387934, -0.012074792478233575, 0.0613999686203897, 0.05078960082028061, -0.011407933849841356, -0.07838412490673363, -0.06872720224782825, 0.03781502688070759, -0.023879250726895406, 0.04876764170003298, 0.13048819785472004, -0.059450178407132626, -0.17057548924349247, 0.35768488194735254, -0.04731419120362261, -0.24326451793313025, 0.07501239462289959, -0.09698121330002323, -0.1452362191863358, 0.08284453530795872, 0.08921073474921286, 0.2122076262719929, -0.015711033332627265, 0.2648293373509659, -0.11690415344201029, 0.07946393231395632, 0.08136446187272668, 0.0294187702704221, 0.18351510320790113, 0.08151708734221756, 0.04298267681588186, 0.1698654697276652, -0.013644677505362779, -0.16926057320088148, -0.36732072103768587, -0.2139714071061462, -0.1299688416067511, 0.2286918487632647, -0.1330156587293459, -0.21885206462466159, 0.4120010642334819, 0.010883521455980372, 0.16900490627158432, 0.06589463190175593, 0.14926870225463063, 0.04729298648890108, 0.08093102409038692, -0.026381609891541303, 0.13675109638716093, 0.1899656322435476, -0.06550960142631083, -0.17853696654783563, -0.1385416026227176, 0.27451895028352735] |
710.0722 | Boost symmetry in the Quantum Gravity sector | We perform a canonical quantization of gravity in a second-order formulation,
taking as configuration variables those describing a 4-bein, not adapted to the
space-time splitting. We outline how, neither if we fix the Lorentz frame
before quantizing, nor if we perform no gauge fixing at all, is invariance
under boost transformations affected by the quantization.
| gr-qc | we perform a canonical quantization of gravity in a secondorder formulation taking as configuration variables those describing a 4bein not adapted to the spacetime splitting we outline how neither if we fix the lorentz frame before quantizing nor if we perform no gauge fixing at all is invariance under boost transformations affected by the quantization | [['we', 'perform', 'a', 'canonical', 'quantization', 'of', 'gravity', 'in', 'a', 'secondorder', 'formulation', 'taking', 'as', 'configuration', 'variables', 'those', 'describing', 'a', '4bein', 'not', 'adapted', 'to', 'the', 'spacetime', 'splitting', 'we', 'outline', 'how', 'neither', 'if', 'we', 'fix', 'the', 'lorentz', 'frame', 'before', 'quantizing', 'nor', 'if', 'we', 'perform', 'no', 'gauge', 'fixing', 'at', 'all', 'is', 'invariance', 'under', 'boost', 'transformations', 'affected', 'by', 'the', 'quantization']] | [-0.1465609581802379, 0.15511297713965178, -0.12391067974756217, 0.09725838379130106, -0.12445526623421095, -0.17406206958165224, 0.04072873797691004, 0.4009258748794144, -0.21630810704928907, -0.26036440655589105, 0.06459958238146184, -0.17350969013165343, -0.16205841000615195, 0.08736580495129932, -0.09292489759285341, -0.03012768927622925, 0.024371934529732575, 0.057234587914056397, -0.20341028803112832, -0.2479408589149402, 0.32104806326837704, 0.09648430503650822, 0.2527242428199811, -0.054891516324344344, 0.15494915664153683, 0.08938125851987437, -0.02773753462189978, 0.07854093113406138, -0.08058379458432847, -0.01343017980795015, 0.16763633693653074, 0.11848233861171387, 0.21251116015694357, -0.42837134562432766, -0.216482430645688, 0.11965194093063473, 0.11623425927351821, 0.15691638714210554, -0.016434660689397293, -0.25664557563987644, 0.10378281533776317, -0.13578007117929783, -0.10806677011899989, -0.1543749768964269, -0.0435449885035103, -0.10440909086980603, -0.23757362890649925, 0.030545941706408154, 0.08169759307903322, 0.044608926533361556, -0.07437771934677254, -0.007060989517379891, -0.007007257022302259, 0.09609879745509137, 0.06593217853118073, 0.0590664167211137, 0.15693170843984594, -0.09665699115192349, -0.06679807591506026, 0.47096412141214716, -0.08063191917132248, -0.3641238954256881, 0.10441155487840825, -0.13583205156028272, -0.21783488714559512, 0.06755069089545444, 0.09150992174717514, 0.12175244709307498, -0.1370047833093188, 0.15370258104733445, -0.00787874392487786, 0.14287299264899708, 0.12732918125323273, 0.03657482946079902, 0.19432828223163431, 0.035447652502493425, 0.05421722673345357, 0.09256193644621155, -0.0282854171639139, -0.11518517391417514, -0.4414364883168177, -0.11643080721524629, -0.13323755518279293, 0.12458863290217281, -0.038733439139005815, -0.11916032668880441, 0.35029224143786863, 0.15079534218053925, 0.1782092998904938, 0.019254048778252167, 0.26335505131970754, 0.14677500779084354, 0.11173325516283512, 0.10487224795770916, 0.2601709863340313, 0.14328137707727198, 0.05374558722939004, -0.2240338040431115, -0.028508043263784862, 0.1273800834928724] |
710.0723 | Uncertainty Relation for the Discrete Fourier Transform | We derive an uncertainty relation for two unitary operators which obey a
commutation relation of the form UV=exp[i phi] VU. Its most important
application is to constrain how much a quantum state can be localised
simultaneously in two mutually unbiased bases related by a Discrete Fourier
Transform. It provides an uncertainty relation which smoothly interpolates
between the well known cases of the Pauli operators in 2 dimensions and the
continuous variables position and momentum. This work also provides an
uncertainty relation for modular variables, and could find applications in
signal processing. In the finite dimensional case the minimum uncertainty
states, discrete analogues of coherent and squeezed states, are minimum energy
solutions of Harper's equation, a discrete version of the Harmonic oscillator
equation.
| quant-ph | we derive an uncertainty relation for two unitary operators which obey a commutation relation of the form uvexpi phi vu its most important application is to constrain how much a quantum state can be localised simultaneously in two mutually unbiased bases related by a discrete fourier transform it provides an uncertainty relation which smoothly interpolates between the well known cases of the pauli operators in 2 dimensions and the continuous variables position and momentum this work also provides an uncertainty relation for modular variables and could find applications in signal processing in the finite dimensional case the minimum uncertainty states discrete analogues of coherent and squeezed states are minimum energy solutions of harpers equation a discrete version of the harmonic oscillator equation | [['we', 'derive', 'an', 'uncertainty', 'relation', 'for', 'two', 'unitary', 'operators', 'which', 'obey', 'a', 'commutation', 'relation', 'of', 'the', 'form', 'uvexpi', 'phi', 'vu', 'its', 'most', 'important', 'application', 'is', 'to', 'constrain', 'how', 'much', 'a', 'quantum', 'state', 'can', 'be', 'localised', 'simultaneously', 'in', 'two', 'mutually', 'unbiased', 'bases', 'related', 'by', 'a', 'discrete', 'fourier', 'transform', 'it', 'provides', 'an', 'uncertainty', 'relation', 'which', 'smoothly', 'interpolates', 'between', 'the', 'well', 'known', 'cases', 'of', 'the', 'pauli', 'operators', 'in', '2', 'dimensions', 'and', 'the', 'continuous', 'variables', 'position', 'and', 'momentum', 'this', 'work', 'also', 'provides', 'an', 'uncertainty', 'relation', 'for', 'modular', 'variables', 'and', 'could', 'find', 'applications', 'in', 'signal', 'processing', 'in', 'the', 'finite', 'dimensional', 'case', 'the', 'minimum', 'uncertainty', 'states', 'discrete', 'analogues', 'of', 'coherent', 'and', 'squeezed', 'states', 'are', 'minimum', 'energy', 'solutions', 'of', 'harpers', 'equation', 'a', 'discrete', 'version', 'of', 'the', 'harmonic', 'oscillator', 'equation']] | [-0.1351456884554518, 0.1680590091613535, -0.10913344715098458, 0.1114385540266175, -0.07651510891265982, -0.12793162017137058, 0.03193236754491371, 0.32373174924541975, -0.29765056498052384, -0.2600013992079526, 0.08447747707582456, -0.2882545045769412, -0.13127453793571445, 0.20527369909042353, -0.05736783308107868, 0.0845413020401154, 0.025313789310695774, 0.05772686314438123, -0.0988757555634707, -0.18717434344628503, 0.31133677122329384, -0.0003326090431795263, 0.2841601550736857, -0.01668069334238891, 0.12477066907415951, 0.031238932695532264, 0.00034622137611808857, -0.04860741259184849, -0.0972462403780419, 0.12911376598279553, 0.2538813856692046, 0.09199593578703887, 0.22950863817414222, -0.3772718597757668, -0.18975297549416212, 0.13388166862659248, 0.1438232175661886, 0.08263071799412185, -0.0011236778391171094, -0.27201827238159915, -0.03592570063447356, -0.16647973516955972, -0.1379052960036769, -0.09429112996536591, 0.050693493340287575, -0.0009537814800773771, -0.27704951841353387, 0.14193702909170866, 0.08684250716146943, 0.015856268577092936, -0.0805576492537752, -0.08383701380423063, -0.02593108771507405, 0.10877700211588016, -0.03658766794588016, 0.014108618794486296, 0.06144493641783984, -0.10958500641230003, -0.12686315017236657, 0.36111998280956725, -0.029620991758078582, -0.2723288630358567, 0.1410773813509005, -0.12277322133795228, -0.1425456543576188, 0.03220809776959402, 0.13747557744476174, 0.07286062476433013, -0.17677292536389977, 0.1259956339832149, -0.037102517471764206, 0.18307538700390083, 0.07948196222158996, 0.07666290242779107, 0.17460639245638793, 0.05906975413249298, 0.11954181165624918, 0.17465115074272275, -0.022878702228681054, -0.1301616700443108, -0.343455211559603, -0.18791244608496338, -0.17592513231245016, 0.07069628388613217, -0.12242352019193051, -0.1348605987977637, 0.37661337469750633, 0.09720314393149042, 0.19865555011846264, 0.03741332202618711, 0.23920369251392598, 0.21470903658716023, 0.04527880277577018, 0.07538354483025134, 0.21961113277915095, 0.22711340993188692, 0.038233119140048163, -0.20273456598193315, -0.02017312304093695, 0.09089064998321297] |
710.0724 | The thermodynamic limit for fractional exclusion statistics | I discuss Haldane's concept of generalised exclusion statistics (Phys. Rev.
Lett. {\bf 67}, 937, 1991) and I show that it leads to inconsistencies in the
calculation of the particle distribution that maximizes the partition function.
These inconsistencies appear when mutual exclusion statistics is manifested
between different subspecies of particles in the system. In order to eliminate
these inconsistencies, I introduce new mutual exclusion statistics parameters,
which are proportional to the dimension of the Hilbert sub-space on which they
act. These new definitions lead to properly defined particle distributions and
thermodynamic properties. In another paper (arXiv:0710.0728) I show that
fractional exclusion statistics manifested in general systems with interaction
have these, physically consistent, statistics parameters.
| cond-mat.stat-mech cond-mat.mes-hall | i discuss haldanes concept of generalised exclusion statistics phys rev lett bf 67 937 1991 and i show that it leads to inconsistencies in the calculation of the particle distribution that maximizes the partition function these inconsistencies appear when mutual exclusion statistics is manifested between different subspecies of particles in the system in order to eliminate these inconsistencies i introduce new mutual exclusion statistics parameters which are proportional to the dimension of the hilbert subspace on which they act these new definitions lead to properly defined particle distributions and thermodynamic properties in another paper arxiv07100728 i show that fractional exclusion statistics manifested in general systems with interaction have these physically consistent statistics parameters | [['i', 'discuss', 'haldanes', 'concept', 'of', 'generalised', 'exclusion', 'statistics', 'phys', 'rev', 'lett', 'bf', '67', '937', '1991', 'and', 'i', 'show', 'that', 'it', 'leads', 'to', 'inconsistencies', 'in', 'the', 'calculation', 'of', 'the', 'particle', 'distribution', 'that', 'maximizes', 'the', 'partition', 'function', 'these', 'inconsistencies', 'appear', 'when', 'mutual', 'exclusion', 'statistics', 'is', 'manifested', 'between', 'different', 'subspecies', 'of', 'particles', 'in', 'the', 'system', 'in', 'order', 'to', 'eliminate', 'these', 'inconsistencies', 'i', 'introduce', 'new', 'mutual', 'exclusion', 'statistics', 'parameters', 'which', 'are', 'proportional', 'to', 'the', 'dimension', 'of', 'the', 'hilbert', 'subspace', 'on', 'which', 'they', 'act', 'these', 'new', 'definitions', 'lead', 'to', 'properly', 'defined', 'particle', 'distributions', 'and', 'thermodynamic', 'properties', 'in', 'another', 'paper', 'arxiv07100728', 'i', 'show', 'that', 'fractional', 'exclusion', 'statistics', 'manifested', 'in', 'general', 'systems', 'with', 'interaction', 'have', 'these', 'physically', 'consistent', 'statistics', 'parameters']] | [-0.09208657442442407, 0.157179331325876, -0.07307575983993177, 0.06628490744229307, -0.05824834408122115, -0.14077358984754287, 0.057495785646356774, 0.30535384256758596, -0.23351851188843803, -0.32732168649921994, -0.009281928502397412, -0.2805381546246021, -0.15910199293700447, 0.1313434883424114, -0.12839270148625864, -0.002818093360734305, 0.03282747206893483, -0.020127211375178637, -0.05150348597401587, -0.2684511849719066, 0.28040862135406186, 0.05645554116927087, 0.29877123053717825, 0.06649974263356333, 0.0975446423898185, 0.026658394895743447, -0.05478602430334182, 0.03632541916886112, -0.18433284298531102, 0.06458684840617934, 0.1995292396422883, 0.11615098679197088, 0.20870341654517688, -0.37835747231396716, -0.17433406074997038, 0.14441236176727607, 0.11923050283803605, 0.09165224754334693, 0.04216490792688481, -0.3332193737151101, 0.00486706784119763, -0.21394853694021418, -0.10362822174543648, -0.0968988991194887, 0.07324098267002098, 0.051084080627853315, -0.26384531028868097, 0.16966702466847242, 0.08457013794187722, 0.03125349006482533, -0.007368003932892212, -0.13015906736628885, -0.008916795022482151, 0.03624023858641782, 0.01976330851695301, -0.04046917101784077, 0.13336496830743272, -0.08317659028606224, -0.1450228982887763, 0.35570100847482017, -0.0002537442638380786, -0.2427865453771249, 0.23422023531747982, -0.15730191916061034, -0.1595101518365222, 0.08660684221207962, 0.1519383743850215, 0.044815861649112776, -0.1979669526487799, 0.06898826217574035, -0.039509146000325145, 0.09962563376341547, 0.08119824718700588, 0.0708194126683728, 0.2332454289342942, 0.045714740489659435, 0.029415316428639926, 0.11489708726626954, -0.09087379889803872, -0.17225690469162405, -0.372839793014074, -0.16009896583273076, -0.21192726504523307, 0.01992778103781997, -0.04523466698732851, -0.1612923204832311, 0.3557980962297214, 0.24704028193913732, 0.24050881543163477, 0.013592620197284435, 0.16414986048558994, 0.14660497349853227, 0.03579043785742085, 0.07877342528913037, 0.22971163387410343, 0.1418647757423709, 0.05243080929670084, -0.19357968626926386, 0.041410857272629595, 0.0477576262450644] |
710.0725 | Near-Constant Mean Curvature Solutions of the Einstein Constraint
Equations with Non-Negative Yamabe Metrics | We show that sets of conformal data on closed manifolds with the metric in
the positive or zero Yamabe class, and with the gradient of the mean curvature
function sufficiently small, are mapped to solutions of the Einstein constraint
equations. This result extends previous work which required the conformal
metric to be in the negative Yamabe class, and required the mean curvature
function to be nonzero.
| gr-qc | we show that sets of conformal data on closed manifolds with the metric in the positive or zero yamabe class and with the gradient of the mean curvature function sufficiently small are mapped to solutions of the einstein constraint equations this result extends previous work which required the conformal metric to be in the negative yamabe class and required the mean curvature function to be nonzero | [['we', 'show', 'that', 'sets', 'of', 'conformal', 'data', 'on', 'closed', 'manifolds', 'with', 'the', 'metric', 'in', 'the', 'positive', 'or', 'zero', 'yamabe', 'class', 'and', 'with', 'the', 'gradient', 'of', 'the', 'mean', 'curvature', 'function', 'sufficiently', 'small', 'are', 'mapped', 'to', 'solutions', 'of', 'the', 'einstein', 'constraint', 'equations', 'this', 'result', 'extends', 'previous', 'work', 'which', 'required', 'the', 'conformal', 'metric', 'to', 'be', 'in', 'the', 'negative', 'yamabe', 'class', 'and', 'required', 'the', 'mean', 'curvature', 'function', 'to', 'be', 'nonzero']] | [-0.15276330631847182, 0.09165911106251631, -0.06437399150860129, 0.04863938531718415, -0.12539283914322202, -0.15007217025214975, -0.06005474381064149, 0.3177900852240396, -0.2695877318849053, -0.28261238811396516, 0.11256624143711771, -0.30620730180067546, -0.15196913944656085, 0.13050511397181475, -0.07685090468801332, 0.10785139095263951, 0.03661182987023935, 0.10842246706174179, -0.10350790167947045, -0.2913505855355073, 0.43859591306836315, -0.007815805771811441, 0.2402465039948848, 0.11558680942239748, 0.11334381127116186, -0.10330984634713263, -0.003997940153843074, 0.11262175801322993, -0.17566131824324574, 0.1141983294210425, 0.2096420143815604, 0.09535540989600122, 0.24998798314481974, -0.3750832255252383, -0.24361503708430313, 0.19014737353603722, 0.08526415255442826, 0.09577401033708487, -0.023088751030930627, -0.2978122706637915, 0.14289676378283536, -0.06800497620662843, -0.16269225360486994, -0.05739239679480141, -0.016295709280353603, 0.004793018046202082, -0.23877510555427184, 0.08404298699602034, 0.0909765365985081, 0.015084064495044224, -0.14533675475412924, -0.10076792306040949, -0.02435223006107139, 0.0917811971616395, 0.1339888147071399, 0.1277452568774055, 0.08338701353888169, -0.08648454830770126, -0.0359892901597601, 0.32346951666598517, -0.1846695759361892, -0.3316746928983114, 0.08489803594508857, -0.18642683828136686, -0.11191549566292176, 0.11428526348688385, 0.17985241874967786, 0.20811662570375836, -0.09034382820016507, 0.12899894734922177, -0.016737194534278278, 0.09000909583163307, 0.07366334244072663, -0.010445970879641898, 0.16118587581723026, 0.02668639896860854, 0.17836017682301727, 0.12520261634860866, -0.011446916311273746, -0.10743764789323464, -0.3598113979466937, -0.17912753953626662, -0.19582384569344646, 0.15584888415778, -0.15209559409722165, -0.21452222719337, 0.37187484318785596, 0.06274494666131707, 0.22057670549574224, 0.17447263760329929, 0.2315765791149302, 0.12101390753223588, 0.10985617721312199, 0.1429424985650588, 0.22974588002332233, 0.17341306335010537, 0.08545588830725825, -0.2077629115912273, -0.043177197835492814, 0.10977436666320445] |
710.0726 | Distinguishing SUSY scenarios using \tau polarisation and \tilde\chi^0_1
Dark Matter | We discuss first a method of measuring $\tau$ polarisation at the ILC using
the 1--prong hadronic decays of the $\tau$. We then show in this contribution
how a study of the $\tilde \tau$ sector and particularly use of decay $\tau$
polarisation can offer a very good handle for distinguishing between mSUGRA and
a SUSY-GUT scenario, both of which can give rise to appropriate Dark Matter.
| hep-ph | we discuss first a method of measuring tau polarisation at the ilc using the 1prong hadronic decays of the tau we then show in this contribution how a study of the tilde tau sector and particularly use of decay tau polarisation can offer a very good handle for distinguishing between msugra and a susygut scenario both of which can give rise to appropriate dark matter | [['we', 'discuss', 'first', 'a', 'method', 'of', 'measuring', 'tau', 'polarisation', 'at', 'the', 'ilc', 'using', 'the', '1prong', 'hadronic', 'decays', 'of', 'the', 'tau', 'we', 'then', 'show', 'in', 'this', 'contribution', 'how', 'a', 'study', 'of', 'the', 'tilde', 'tau', 'sector', 'and', 'particularly', 'use', 'of', 'decay', 'tau', 'polarisation', 'can', 'offer', 'a', 'very', 'good', 'handle', 'for', 'distinguishing', 'between', 'msugra', 'and', 'a', 'susygut', 'scenario', 'both', 'of', 'which', 'can', 'give', 'rise', 'to', 'appropriate', 'dark', 'matter']] | [-0.08419896482776563, 0.1646070125584419, -0.13912184442608402, 0.14940699577295724, -0.06661305367373503, -0.17696262904657767, 0.028208890953101216, 0.32635184205495393, -0.26860303001908153, -0.28846045275433707, 0.04700140799933041, -0.23218474596595534, -0.06252979287304557, 0.1833045578848284, 0.05861583644380936, -0.017942535039037467, 0.06684311972214625, -0.013271153488984475, -0.08586582320097547, -0.17698523800533553, 0.2779129416896747, 0.0385363672233115, 0.15339641269439688, 0.10426528615733752, 0.06338859808702882, -0.03817603594551866, -0.07522423969438442, -0.017570670808737095, -0.1187314500960593, 0.08290260737905135, 0.18101943471612267, 0.1298053631451554, 0.13265283572344252, -0.3512957888153883, -0.10663300754788976, 0.2121607397754605, 0.15201736613391684, 0.06885735219022115, -0.05455997427209065, -0.2791690493432375, 0.09024886065520919, -0.20814237538008737, -0.07668760791420937, -0.10959203936732732, -0.0011514104472903105, -0.05999521424349111, -0.33721881887087457, 0.05684961652239928, -0.02725080718787817, -0.03489758478334317, 0.007915617668857941, -0.1237094730998461, 0.011442200646090967, 0.07191101187983384, 0.11971222453105908, 0.05065964268735395, 0.09966271090536163, -0.17905411313001354, -0.12499498337363968, 0.4265352643453158, -0.14000942873267028, -0.18700930015542186, 0.18372293212092838, -0.17240104239720563, -0.1764820243876714, 0.08234631682817753, 0.22680599477428656, 0.10385915202876696, -0.12748563835540644, 0.13585483723212607, -0.029054457063858327, 0.150439578652955, 0.0480136359253755, 0.07945155855604054, 0.24511998678342653, 0.2377465796871827, 0.050035599769594576, 0.14801113494815163, -0.13580510828357475, 0.01114636119455099, -0.42663802447227334, -0.18913295911266825, -0.09290601851848455, 0.05666097638985285, -0.05443770380001157, -0.09317292869091034, 0.444949254909387, 0.11602741319399613, 0.27695956187179455, 0.0727788068801881, 0.2937896469178108, 0.07143419085410782, -0.010641878965095832, 0.029182604857935356, 0.29309212169968163, 0.12631969388860922, 0.10532823354005813, -0.26336586428806186, 0.038438536284061575, -0.0035913111068881474] |
710.0727 | The afterglow onset for GRB060418 and GRB060607A | Gamma-ray burst are thought to be produced by highly relativistic outflows.
Although upper and lower limits for the outflow initial Lorentz factor
$\Gamma_0$ are available, observational efforts to derive a direct
determination of $\Gamma_0$ have so far failed or provided ambiguous results.
As a matter of fact, the shape of the early-time afterglow light curve is
strongly sensitive on $\Gamma_0$ which determines the time of the afterglow
peak, i.e. when the outflow and the shocked circumburst material share a
comparable amount of energy. We now comment early-time observations of the
near-infrared afterglows of GRB 060418 and GRB 060607A performed by the REM
robotic telescope. For both events, the afterglow peak was singled out and
allowed us to determine the initial fireball Lorentz, $\Gamma_0\sim 400$.
| astro-ph | gammaray burst are thought to be produced by highly relativistic outflows although upper and lower limits for the outflow initial lorentz factor gamma_0 are available observational efforts to derive a direct determination of gamma_0 have so far failed or provided ambiguous results as a matter of fact the shape of the earlytime afterglow light curve is strongly sensitive on gamma_0 which determines the time of the afterglow peak ie when the outflow and the shocked circumburst material share a comparable amount of energy we now comment earlytime observations of the nearinfrared afterglows of grb 060418 and grb 060607a performed by the rem robotic telescope for both events the afterglow peak was singled out and allowed us to determine the initial fireball lorentz gamma_0sim 400 | [['gammaray', 'burst', 'are', 'thought', 'to', 'be', 'produced', 'by', 'highly', 'relativistic', 'outflows', 'although', 'upper', 'and', 'lower', 'limits', 'for', 'the', 'outflow', 'initial', 'lorentz', 'factor', 'gamma_0', 'are', 'available', 'observational', 'efforts', 'to', 'derive', 'a', 'direct', 'determination', 'of', 'gamma_0', 'have', 'so', 'far', 'failed', 'or', 'provided', 'ambiguous', 'results', 'as', 'a', 'matter', 'of', 'fact', 'the', 'shape', 'of', 'the', 'earlytime', 'afterglow', 'light', 'curve', 'is', 'strongly', 'sensitive', 'on', 'gamma_0', 'which', 'determines', 'the', 'time', 'of', 'the', 'afterglow', 'peak', 'ie', 'when', 'the', 'outflow', 'and', 'the', 'shocked', 'circumburst', 'material', 'share', 'a', 'comparable', 'amount', 'of', 'energy', 'we', 'now', 'comment', 'earlytime', 'observations', 'of', 'the', 'nearinfrared', 'afterglows', 'of', 'grb', '060418', 'and', 'grb', '060607a', 'performed', 'by', 'the', 'rem', 'robotic', 'telescope', 'for', 'both', 'events', 'the', 'afterglow', 'peak', 'was', 'singled', 'out', 'and', 'allowed', 'us', 'to', 'determine', 'the', 'initial', 'fireball', 'lorentz', 'gamma_0sim', '400']] | [-0.062002992359694184, 0.16093308419818286, -0.08784490915742225, 0.14739105885761328, -0.1853311712190138, -0.13989486066033927, 0.060860061054534426, 0.4758839433164737, -0.16573951558240244, -0.31036439040918057, 0.05832458602082802, -0.27042138053301146, 0.0428748299780385, 0.2763287236959469, 0.02722465310612981, 0.02015912703170282, 0.11147514857896944, -0.06209837153887119, -0.0627325018262112, -0.22753747444736158, 0.2535066413636342, 0.15106456408587596, 0.21191177344729564, 0.031195273142065702, 0.09275860050163133, -0.08067101123742759, -0.07769275294631962, -0.05363572616891072, -0.15982736774334094, 0.03965877418641031, 0.1966836588869886, 0.12357270536277958, 0.1664156073674075, -0.4172004185715403, -0.24074139760814728, 0.11939051955544609, 0.12186831625072451, -0.002797478108621407, 0.011123915307973398, -0.303522518525521, 0.006438201889622866, -0.19367799079575673, -0.177036130361683, 0.05050610618786962, 0.04846761532400439, 0.034114250676645856, -0.18920292266515817, 0.09119463711787712, -0.02836701781744501, 0.033907667732545804, -0.07673865281863183, 0.0024025410232020586, -0.032368484576899045, 0.024455613503279922, 0.11952287761108359, 0.07900684460149549, 0.1676994253449687, -0.18202795822322898, -0.009061138675646568, 0.47359116343645064, -0.03344143512355906, 0.034775653058981025, 0.1600692765862961, -0.2043527477549586, -0.15109736456467612, 0.2129125021912945, 0.11736995959275864, 0.05883555978582036, -0.13921662692865072, 0.002786882168696663, -0.03219814815868934, 0.16316223863845433, 0.029915223549294278, 0.07667824005087216, 0.2502520643023214, 0.08164841653892725, -0.013648995147200256, 0.09897398991544344, -0.1840341730971775, 0.040171382157510614, -0.3349008552154632, -0.09207752837829776, -0.189742652373767, 0.13767947411122997, -0.12407728485839736, -0.10029346480534025, 0.37824820760425515, 0.08467050421343193, 0.20168841235354784, 0.014705766708877816, 0.24573906744277574, 0.08409970009801682, 0.04617331968999006, 0.16287094806283106, 0.38858574341104285, 0.09535612449678403, 0.12904318430786574, -0.22534102102650738, 0.13362196547441124, 0.03349934065547901] |
710.0728 | Fractional exclusion statistics in general systems with interaction | I show that fractional exclusion statistics (FES) is manifested in general
interacting systems and I calculate the exclusion statistics parameters. Most
importantly, I show that the mutual exclusion statistics parameters--when the
presence of particles in one Hilbert space influences the dimension of another
Hilbert space--are proportional to the dimension of the Hilbert space on which
they act. This result, although surprising and different from the usual way of
understanding the FES, renders this statistics consistent and valid in the
thermodynamic limit, in accordance with the conjucture introduced in J. Phys.
A: Math. Theor. 40, F1013 (2007).
| cond-mat.stat-mech cond-mat.mes-hall | i show that fractional exclusion statistics fes is manifested in general interacting systems and i calculate the exclusion statistics parameters most importantly i show that the mutual exclusion statistics parameterswhen the presence of particles in one hilbert space influences the dimension of another hilbert spaceare proportional to the dimension of the hilbert space on which they act this result although surprising and different from the usual way of understanding the fes renders this statistics consistent and valid in the thermodynamic limit in accordance with the conjucture introduced in j phys a math theor 40 f1013 2007 | [['i', 'show', 'that', 'fractional', 'exclusion', 'statistics', 'fes', 'is', 'manifested', 'in', 'general', 'interacting', 'systems', 'and', 'i', 'calculate', 'the', 'exclusion', 'statistics', 'parameters', 'most', 'importantly', 'i', 'show', 'that', 'the', 'mutual', 'exclusion', 'statistics', 'parameterswhen', 'the', 'presence', 'of', 'particles', 'in', 'one', 'hilbert', 'space', 'influences', 'the', 'dimension', 'of', 'another', 'hilbert', 'spaceare', 'proportional', 'to', 'the', 'dimension', 'of', 'the', 'hilbert', 'space', 'on', 'which', 'they', 'act', 'this', 'result', 'although', 'surprising', 'and', 'different', 'from', 'the', 'usual', 'way', 'of', 'understanding', 'the', 'fes', 'renders', 'this', 'statistics', 'consistent', 'and', 'valid', 'in', 'the', 'thermodynamic', 'limit', 'in', 'accordance', 'with', 'the', 'conjucture', 'introduced', 'in', 'j', 'phys', 'a', 'math', 'theor', '40', 'f1013', '2007']] | [-0.07714232601954238, 0.15556983637582997, -0.060478270560017096, 0.04625187779184552, -0.032667180543522474, -0.12002841861154277, 0.07287092296325642, 0.2448450415800123, -0.22294388968705037, -0.2846007470405944, 0.029703014249326257, -0.27144492443387763, -0.15148878827913786, 0.17544665294901832, -0.0937853183283511, -0.035582994600585865, 0.027489217628380688, 0.025342457462102175, -0.047952240587303255, -0.2822587490790402, 0.3035927734378239, 0.065086481647323, 0.31656159735797224, 0.02696943407594834, 0.09145904820078336, 0.06186136626638472, -0.07597812583528298, 0.025223109156839833, -0.15199708342934964, 0.11618113947738691, 0.21940289316420525, 0.04670778300572673, 0.21832914297145023, -0.3723038303989755, -0.18563756151327296, 0.13436454037993983, 0.12074437687861854, 0.083410392807665, 0.04131875979162388, -0.3129296034331555, -0.036173048327327706, -0.16954692353433726, -0.13507814666904186, -0.0672146670581044, 0.09163908255488976, -0.009250947932267318, -0.25256768395395385, 0.15910830161453265, 0.1301681438724146, 0.05379429691390175, -0.03990341078631742, -0.11866427805532863, -0.045249764420314816, 0.03285270524666766, -0.00737030659650412, -0.024410702232473894, 0.11099368804033198, -0.11169250671114044, -0.11580240678386358, 0.3848682085517794, -0.04146091522884292, -0.1864553198684007, 0.26809874768166436, -0.20150418720289093, -0.16427776211892944, 0.09223765112540644, 0.1291343664507503, 0.0803390476225025, -0.14492705837904435, 0.14566445115095752, -0.06635282276977744, 0.1234872370917836, 0.06951431770120627, 0.04527819923785738, 0.17999193181648201, 0.11168945825446154, 0.04713162507497422, 0.1160555841558127, -0.07352780896674274, -0.1796447363803568, -0.34696958967201086, -0.21256035125470193, -0.2354500828343747, 0.05608373962383231, -0.06186600947077513, -0.11040450623461409, 0.34040086723499646, 0.21025069334301288, 0.2330443242826732, 0.025173159676816558, 0.17831263873149114, 0.15078186590993858, 0.029081251198911796, 0.1076529758638176, 0.24590616333095924, 0.1512896501580658, 0.09385856773967491, -0.19680793389283202, 0.03318979592143517, 0.062140179686653224] |
710.0729 | Semileptonic decays of heavy-light pseudoscalar mesons | I discuss the results of a recent quenched lattice calculation of the two
independent form factors parametrizing the semileptonic decays between
heavy-light pseudoscalar mesons. The differential decay rate of the process B
--> D l nu has been calculated at non vanishing momentum transfer both in the
case of the light leptons, l=e,mu, and in the case of a non vanishing lepton
mass, l=tau.
| hep-lat | i discuss the results of a recent quenched lattice calculation of the two independent form factors parametrizing the semileptonic decays between heavylight pseudoscalar mesons the differential decay rate of the process b d l nu has been calculated at non vanishing momentum transfer both in the case of the light leptons lemu and in the case of a non vanishing lepton mass ltau | [['i', 'discuss', 'the', 'results', 'of', 'a', 'recent', 'quenched', 'lattice', 'calculation', 'of', 'the', 'two', 'independent', 'form', 'factors', 'parametrizing', 'the', 'semileptonic', 'decays', 'between', 'heavylight', 'pseudoscalar', 'mesons', 'the', 'differential', 'decay', 'rate', 'of', 'the', 'process', 'b', 'd', 'l', 'nu', 'has', 'been', 'calculated', 'at', 'non', 'vanishing', 'momentum', 'transfer', 'both', 'in', 'the', 'case', 'of', 'the', 'light', 'leptons', 'lemu', 'and', 'in', 'the', 'case', 'of', 'a', 'non', 'vanishing', 'lepton', 'mass', 'ltau']] | [-0.1516189309805336, 0.25314135952956146, -0.022198603141106783, 0.08918520552213031, 0.005830084912419793, -0.15860454571093358, 0.054170275737147125, 0.256561831822471, -0.20563185380564797, -0.15375684727988545, -0.03477402282730928, -0.3402948864839143, 0.022212948295332137, 0.10846081724952138, 0.11226156114467553, 0.09407896185589451, 0.05448966453568862, 0.019988342306561886, -0.11110099065782768, -0.23031201661520062, 0.33375039891827674, -0.03496867691588011, 0.21100627973173108, 0.11455000691588908, -0.0017781216311194593, 0.02811093186397874, -0.09931064686841434, -0.10254754225117346, -0.14647131625355947, 0.026110692807133237, 0.14288078097715265, 0.04954027732737669, 0.1478944861344875, -0.31719822710054735, -0.09116555750370026, 0.16735784274836382, 0.17546772480469255, 0.0760952965725982, -0.028098186004966025, -0.2620174130424857, 0.09680866317025252, -0.20364268093798604, -0.11816827606941972, -0.08158240213044106, 0.06565534375194046, -0.048598899461683776, -0.3557135004934574, 0.10772736305518756, 0.013756630010902882, 0.03699564465158989, -0.02610735689836835, -0.2562315042707182, -0.04768234162428786, 0.05741720813666544, 0.18634615635031848, 0.07881329467313157, 0.13783466475941833, -0.17522619414838062, -0.14905125271928096, 0.3842879183708675, -0.12375533610345825, -0.23324972265473906, 0.12155751103446596, -0.244879407896882, -0.12868333835568693, 0.1438330253586173, 0.2169400558858696, 0.10368845958469643, -0.157181915176648, 0.17517299420802693, -0.0745049984830003, 0.07516780904760319, 0.08324271388765839, 0.0676386651716062, 0.1722328063869287, 0.1373915933904105, -0.06166414263850403, 0.03786107819778697, -0.06940186736247843, -0.06645164652062314, -0.41007745851363453, -0.17364670617121553, -0.13047127594195662, 0.15231067267069148, -0.08614116436261351, -0.07964602290164857, 0.3958977071886202, -0.02966011522544755, 0.2959840192149083, 0.009595509027204817, 0.2890961733424947, 0.10933971149285161, 0.03253217441092674, 0.08984827389201475, 0.29966628681572655, 0.26734590466829045, 0.13864482009399032, -0.32749393047942293, -0.009287263811861594, 0.08944879842567302] |
710.073 | Fractional Charge and Quantized Current in the Quantum Spin Hall State | A profound manifestation of topologically non-trivial states of matter is the
occurrence of fractionally charged elementary excitations. The quantum spin
Hall insulator state is a fundamentally novel quantum state of matter that
exists at zero external magnetic field. In this work, we show that a magnetic
domain wall at the edge of the quantum spin Hall insulator carries one half of
the unit of electron charge, and we propose an experiment to directly measure
this fractional charge on an individual basis. We also show that as an
additional consequence, a rotating magnetic field can induce a quantized dc
electric current, and vice versa.
| cond-mat.mes-hall | a profound manifestation of topologically nontrivial states of matter is the occurrence of fractionally charged elementary excitations the quantum spin hall insulator state is a fundamentally novel quantum state of matter that exists at zero external magnetic field in this work we show that a magnetic domain wall at the edge of the quantum spin hall insulator carries one half of the unit of electron charge and we propose an experiment to directly measure this fractional charge on an individual basis we also show that as an additional consequence a rotating magnetic field can induce a quantized dc electric current and vice versa | [['a', 'profound', 'manifestation', 'of', 'topologically', 'nontrivial', 'states', 'of', 'matter', 'is', 'the', 'occurrence', 'of', 'fractionally', 'charged', 'elementary', 'excitations', 'the', 'quantum', 'spin', 'hall', 'insulator', 'state', 'is', 'a', 'fundamentally', 'novel', 'quantum', 'state', 'of', 'matter', 'that', 'exists', 'at', 'zero', 'external', 'magnetic', 'field', 'in', 'this', 'work', 'we', 'show', 'that', 'a', 'magnetic', 'domain', 'wall', 'at', 'the', 'edge', 'of', 'the', 'quantum', 'spin', 'hall', 'insulator', 'carries', 'one', 'half', 'of', 'the', 'unit', 'of', 'electron', 'charge', 'and', 'we', 'propose', 'an', 'experiment', 'to', 'directly', 'measure', 'this', 'fractional', 'charge', 'on', 'an', 'individual', 'basis', 'we', 'also', 'show', 'that', 'as', 'an', 'additional', 'consequence', 'a', 'rotating', 'magnetic', 'field', 'can', 'induce', 'a', 'quantized', 'dc', 'electric', 'current', 'and', 'vice', 'versa']] | [-0.2125813915796614, 0.2737227947177372, -0.07840024313247464, 0.0274816100458497, -0.07049204909143228, -0.13040164748242902, 0.0567883442097244, 0.34119941001233545, -0.2708203177718283, -0.274203720059499, 0.007478707866716081, -0.2749164630884974, -0.14265042670055303, 0.15988825035317647, -0.00881178496468776, -0.02312791642271778, -0.047013174561620914, 0.06680664110892606, -0.07722291030053013, -0.1647834066319668, 0.3192883720531047, -0.027605092454728787, 0.3089117090787413, 0.10000448586482519, 0.1047329893606959, -0.007111270728891769, 0.09535497902820195, 0.06025787591662945, -0.11424699362057422, 0.03681915216046178, 0.18676569898730344, -0.03795888940848916, 0.22539546432932026, -0.490066429762875, -0.16569218362762944, 0.06194163113832474, 0.11523668371701559, 0.17969734723526007, -0.12430106812084402, -0.295584173859504, 0.0738824298266249, -0.19645533955755454, -0.12401554377261297, -0.1041368741759108, 0.030559008626846, -0.08484861195806269, -0.2389556242049066, 0.09400430373430424, 0.12022427282097198, 0.050937720375515305, -0.09035146604427724, -0.09396824818466185, -0.06161985672938013, 0.06964636194854251, 0.022336652787239515, 0.09879382256671641, 0.1977587948593953, -0.19782303841061238, -0.21746308204166373, 0.2961177218262359, -0.07778831236024876, -0.20146390314675072, 0.15847248876087586, -0.2118694653137795, -0.053914811896178326, 0.10978231900055142, 0.1241749740568514, 0.09667508484732396, -0.08222749577925621, 0.07249367600013004, -0.10166378149274484, 0.17746012202278683, 0.0027187526569638436, 0.10886923938727422, 0.36821515655633313, 0.13744915415107914, 0.12757215375822145, 0.17837918199851965, -0.129793460569028, -0.05856508368770908, -0.30789012219576, -0.25131566722163007, -0.2483036090863995, 0.1403419696430628, -0.006183372557025349, -0.21324229682795703, 0.43120512670557043, 0.13777045672985463, 0.15782534241115728, -0.08248682016759966, 0.29389518477560644, 0.17478590479315015, 0.017826711258272305, 0.04650638169310625, 0.21665322192881292, 0.16457643902417526, 0.12245745982667341, -0.29779734376600936, -0.02111137938206491, 0.01916617385193127] |
710.0731 | Symplectic resolutions, Lefschetz property and formality | We introduce a method to resolve a symplectic orbifold into a smooth
symplectic manifold. Then we study how the formality and the Lefschetz property
of the symplectic resolution are compared with that of the symplectic orbifold.
We also study the formality of the symplectic blow-up of a symplectic orbifold
along symplectic submanifolds disjoint from the orbifold singularities. This
allows us to construct the first example of a simply connected compact
symplectic manifold of dimension 8 which satisfies the Lefschetz property but
is not formal, therefore giving a counter-example to a conjecture of Babenko
and Taimanov.
| math.SG math.AT math.DG | we introduce a method to resolve a symplectic orbifold into a smooth symplectic manifold then we study how the formality and the lefschetz property of the symplectic resolution are compared with that of the symplectic orbifold we also study the formality of the symplectic blowup of a symplectic orbifold along symplectic submanifolds disjoint from the orbifold singularities this allows us to construct the first example of a simply connected compact symplectic manifold of dimension 8 which satisfies the lefschetz property but is not formal therefore giving a counterexample to a conjecture of babenko and taimanov | [['we', 'introduce', 'a', 'method', 'to', 'resolve', 'a', 'symplectic', 'orbifold', 'into', 'a', 'smooth', 'symplectic', 'manifold', 'then', 'we', 'study', 'how', 'the', 'formality', 'and', 'the', 'lefschetz', 'property', 'of', 'the', 'symplectic', 'resolution', 'are', 'compared', 'with', 'that', 'of', 'the', 'symplectic', 'orbifold', 'we', 'also', 'study', 'the', 'formality', 'of', 'the', 'symplectic', 'blowup', 'of', 'a', 'symplectic', 'orbifold', 'along', 'symplectic', 'submanifolds', 'disjoint', 'from', 'the', 'orbifold', 'singularities', 'this', 'allows', 'us', 'to', 'construct', 'the', 'first', 'example', 'of', 'a', 'simply', 'connected', 'compact', 'symplectic', 'manifold', 'of', 'dimension', '8', 'which', 'satisfies', 'the', 'lefschetz', 'property', 'but', 'is', 'not', 'formal', 'therefore', 'giving', 'a', 'counterexample', 'to', 'a', 'conjecture', 'of', 'babenko', 'and', 'taimanov']] | [-0.2009459136813683, -0.015441461329005266, -0.17432270450027365, 0.11978898522885222, -0.15372955731949525, -0.19134967462894947, -0.007183002229583891, 0.3332104109105115, -0.28007033867271325, -0.19872709076459472, 0.0839859563710266, -0.20516137861122843, -0.17074530210934188, 0.13451950122651302, -0.2104055940810787, -0.009792170977514041, 0.08748203633647215, 0.03192842396858491, -0.1547052122628022, -0.26187260224679976, 0.5112361929134319, -0.023653407090980755, 0.18649199491268711, 0.1290694528112286, 0.1881107865881763, -0.058043348107879096, 0.01247555185109377, -0.007720319977593853, -0.13914692959982572, 0.13647521482290406, 0.27543085299824416, 0.043291083215980936, 0.14761350396040238, -0.39824775714231164, -0.1281267260176767, 0.19087612741430732, 0.1560512911381298, 0.039985482724334456, 0.0009966588285016387, -0.2938354747958089, 0.13285543221588197, -0.13478493595826685, -0.21548159758952495, -0.11647023208635418, -0.03076883044682051, -0.022202339204714486, -0.15373379001393914, -0.06493861592699479, 0.15837475675109186, 0.10947298780573826, -0.038730621144886276, 0.0035942070578273973, -0.08558674828811108, 0.06525491275211895, 0.015902247404875725, 0.08757573010792073, 0.07588877120104275, -0.03327622196244958, -0.1153212410667421, 0.37068251490004755, -0.030130485111945556, -0.28848294313800965, 0.11297474853498371, -0.11891259626182114, -0.2420322683174163, 0.17420511103578304, 0.06689613613447076, 0.15432492853387406, -0.024563086209328552, 0.18683727110466478, -0.10618398739515167, 0.06433553006500006, 0.12792661904210323, -0.04828685370617007, 0.10818276599441704, 0.12382149645372441, 0.13978583547164147, 0.12094317228092175, -0.04214080789273507, -0.07717098415290055, -0.3448599107563496, -0.252881374278743, -0.10476679586266216, 0.26452635132821006, -0.1230773112096358, -0.1788718633647812, 0.4320690675001395, 0.04269804641800491, 0.23559504339569493, 0.16848487141419594, 0.2757693347325058, 0.003525337780286607, 0.05482193196290418, 0.046086275553036675, 0.12343555716062454, 0.23188346146949027, -0.014567977199821096, -0.1366006260394658, -0.13973616443476394, 0.21593076248016013] |
710.0732 | Comment on ``Coherent Control of a V-Type Three-Level System in a Single
Quantum Dot'' | This is a Comment on Phys. Rev. Lett., {\bf 95}, 187404 (2005)
| cond-mat.mtrl-sci | this is a comment on phys rev lett bf 95 187404 2005 | [['this', 'is', 'a', 'comment', 'on', 'phys', 'rev', 'lett', 'bf', '95', '187404', '2005']] | [-0.11168505501171405, 0.050578167365694586, 0.09786337618292733, -0.42437254993075674, -0.20593649843199688, 0.03240089012648572, 0.30327611552043393, 0.2382248927077109, 0.28821268339048733, -0.3390009447254918, -0.23995896090160718, -0.24303085255351933, -0.3319421783089638, 0.21379565752365373, -0.41116136066954245, -0.14213023707270622, -0.025229421190240166, -0.17087701267816804, -0.09070915627208623, -0.4891312701458281, -0.24282824451273138, 0.29499108310450206, 0.39603827690536325, 0.2127006800675934, 0.04275059843943878, 0.15158293082971463, -0.006017059595747428, -0.1846628849479285, -0.4411905261433937, -0.1359322744167664, 0.09079940253022042, 0.08028202194889839, 0.2715087685395371, -0.2978368667377667, -0.256712773645466, 0.11927462403069843, -0.2561337541450154, 0.15647353435104544, 0.2881987427932803, -0.6325524435801939, 0.043652567864311015, -0.34078008139675314, -0.0002869136885485866, -0.22538289563222366, 0.5223542792214588, -0.1139452388213778, -0.3975178643383763, 0.47084602671252057, 0.04966124011711641, 0.06284829652444883, 0.23048588616604154, -0.0323262463577769, -0.07119760933247479, -0.47396546826613223, -0.14875953959893773, 0.31831082481552253, 0.06295888707973063, 0.21788846703500234, -0.21374005214734512, 0.30053643543611874, 0.03173282888548618, -0.1655459227887067, 0.3901770494200967, -0.032076809809289196, -0.21111250601031564, -0.04336526820605451, 0.28678335283290257, 0.2636064567857168, -0.28152553500099614, 0.4132849265059287, -0.3167636313221671, 0.14589412730525841, 0.300285557623614, -0.07104965434833006, 0.19161232916468923, 0.04040472700514577, -0.2994222091510892, -0.051543574441562996, -0.17017145969227634, -0.1267392348752103, -0.45125623927874997, -0.2202811659398404, -0.29903305355798115, 0.25218674007125874, 0.3410747523673556, -0.03218801116401499, 0.43089050460945477, 0.2981866245920008, 0.4033218100667, -0.12083866616541689, -0.03804429120976816, 0.12538075337017124, -0.31832385198636487, 0.4993425898507915, 0.37471987815065816, 0.2520175472917882, 0.09879428025504405, -0.13505042213099924, -0.2189423464746638, 0.031696183437650856] |
710.0733 | Total control over ultracold interactions via electric and magnetic
fields | The scattering length is commonly used to characterize the strength of
ultracold atomic interactions, since it is the leading parameter in the
low-energy expansion of the scattering phase shift. Its value can be modified
via a magnetic field, by using a Feshbach resonance. However, the effective
range term, which is the second parameter in the phase shift expansion,
determines the width of the resonance and gives rise to important properties of
ultracold gases. Independent control over this parameter is not possible by
using a magnetic field only. We demonstrate that a combination of magnetic and
electric fields can be used to get independent control over both parameters,
which leads to full control over elastic ultracold interactions.
| physics.atom-ph cond-mat.other | the scattering length is commonly used to characterize the strength of ultracold atomic interactions since it is the leading parameter in the lowenergy expansion of the scattering phase shift its value can be modified via a magnetic field by using a feshbach resonance however the effective range term which is the second parameter in the phase shift expansion determines the width of the resonance and gives rise to important properties of ultracold gases independent control over this parameter is not possible by using a magnetic field only we demonstrate that a combination of magnetic and electric fields can be used to get independent control over both parameters which leads to full control over elastic ultracold interactions | [['the', 'scattering', 'length', 'is', 'commonly', 'used', 'to', 'characterize', 'the', 'strength', 'of', 'ultracold', 'atomic', 'interactions', 'since', 'it', 'is', 'the', 'leading', 'parameter', 'in', 'the', 'lowenergy', 'expansion', 'of', 'the', 'scattering', 'phase', 'shift', 'its', 'value', 'can', 'be', 'modified', 'via', 'a', 'magnetic', 'field', 'by', 'using', 'a', 'feshbach', 'resonance', 'however', 'the', 'effective', 'range', 'term', 'which', 'is', 'the', 'second', 'parameter', 'in', 'the', 'phase', 'shift', 'expansion', 'determines', 'the', 'width', 'of', 'the', 'resonance', 'and', 'gives', 'rise', 'to', 'important', 'properties', 'of', 'ultracold', 'gases', 'independent', 'control', 'over', 'this', 'parameter', 'is', 'not', 'possible', 'by', 'using', 'a', 'magnetic', 'field', 'only', 'we', 'demonstrate', 'that', 'a', 'combination', 'of', 'magnetic', 'and', 'electric', 'fields', 'can', 'be', 'used', 'to', 'get', 'independent', 'control', 'over', 'both', 'parameters', 'which', 'leads', 'to', 'full', 'control', 'over', 'elastic', 'ultracold', 'interactions']] | [-0.1483964305978212, 0.21642968541910423, -0.07377555838420763, 0.02046585307508739, -0.08014104089796029, -0.0865978623764461, 0.03416991461538067, 0.3549765451763082, -0.30159338324427093, -0.299362413360384, 0.05659426595204799, -0.20970995079099747, -0.09539777451949515, 0.22119699522917127, 0.04135961785655597, 0.022207863451732354, -0.007717274651252504, 0.07256136674450003, -0.046033800120469474, -0.20600848240328246, 0.30361377208991425, 0.06010347121025853, 0.2557968798370486, 0.0957576854371241, 0.08414180467611757, 0.0561152067364611, 0.06880912114063213, 0.031133096833745467, -0.12425716376517436, 0.09385533961628018, 0.23499459468815798, 0.002986993782040623, 0.20811475880829425, -0.39324423031688766, -0.23028792394325137, 0.10758913578144436, 0.19390506032404714, 0.14804797960196397, -0.011147267104865148, -0.26721849948456833, -0.006775936605569361, -0.15546816478459294, -0.12587494296342905, -0.1422314316933525, 0.012110077019315213, 0.035099773349617766, -0.33813210013563394, 0.06241377389358541, 0.011926785116445208, 0.06061064554699536, -0.0785844698598496, -0.05396070479062097, 0.03889257198095258, 0.09925573794893792, 0.03233418494848342, 0.07787950746393923, 0.16492422812634372, -0.14796182499186875, -0.07575642068444847, 0.3882102616259764, -0.11305123103525618, -0.15420242077430132, 0.16177404245185056, -0.13622723224348035, -0.008049562557375637, 0.1955850969092792, 0.1630551880948117, 0.08598063823492025, -0.15354502446756796, 0.12325132225443416, -0.011570065415761402, 0.20236381055919678, 0.05325965269404496, 0.04264566707344533, 0.22665810784132318, 0.14937659270322784, 0.0574650809586305, 0.13726410703083244, -0.11763365246387648, -0.10173551647588691, -0.26068327075737563, -0.12788279767645971, -0.17599707570103607, 0.020199099549715577, -0.06940159799329383, -0.17207932309247553, 0.41918988741837954, 0.18674399833002225, 0.23176003924314062, -0.08510441446058645, 0.2882061725771376, 0.1819828950342369, 0.12282509995415679, 0.0017299285993493836, 0.30908041033123074, 0.18670679877837318, 0.06062762701085062, -0.2828020969516666, 0.07062477823587712, 0.0347861019123731] |
710.0734 | Obstruction theory on 8-manifolds | This note gives a uniform, self-contained, and fairly direct approach to a
variety of obstruction-theoretic problems on 8-manifolds. We give necessary and
sufficient cohomological critera for the existence of almost complex and almost
quaternionic structures on the tangent bundle and for the reduction of the
structure group to U(3) by the homomorphism U(3) --> O(8) given by the Lie
algebra representation of PU(3).
| math.AT math.GT | this note gives a uniform selfcontained and fairly direct approach to a variety of obstructiontheoretic problems on 8manifolds we give necessary and sufficient cohomological critera for the existence of almost complex and almost quaternionic structures on the tangent bundle and for the reduction of the structure group to u3 by the homomorphism u3 o8 given by the lie algebra representation of pu3 | [['this', 'note', 'gives', 'a', 'uniform', 'selfcontained', 'and', 'fairly', 'direct', 'approach', 'to', 'a', 'variety', 'of', 'obstructiontheoretic', 'problems', 'on', '8manifolds', 'we', 'give', 'necessary', 'and', 'sufficient', 'cohomological', 'critera', 'for', 'the', 'existence', 'of', 'almost', 'complex', 'and', 'almost', 'quaternionic', 'structures', 'on', 'the', 'tangent', 'bundle', 'and', 'for', 'the', 'reduction', 'of', 'the', 'structure', 'group', 'to', 'u3', 'by', 'the', 'homomorphism', 'u3', 'o8', 'given', 'by', 'the', 'lie', 'algebra', 'representation', 'of', 'pu3']] | [-0.1653170289746562, 0.035448620363031744, -0.09619045022447578, 0.07799736600269976, -0.14028535542063048, -0.09807048812813934, 0.04013077260880563, 0.3616273581798448, -0.2794336023450386, -0.2307392557907361, 0.1253949303378458, -0.17431093654671653, -0.15443519721968008, 0.17025011461838835, -0.1033841892771545, -0.02355648476828928, 0.05037298516110807, 0.09203783654012397, -0.10929828369226612, -0.24277365625813055, 0.4034263796982218, 0.005351783341315926, 0.22958693882358855, 0.078885464242003, 0.16110417768969887, 0.025073522831633933, -0.011632056969798124, -0.06228643793185226, -0.15251418340523712, 0.15174815471696315, 0.24542438249546486, 0.06361826516871082, 0.1726143105207469, -0.3883549375459552, -0.12296232340841165, 0.1404235707137917, 0.11516436584080096, 0.022222999758163435, -0.05101504309301372, -0.294906065173325, 0.13484432078806347, -0.15462392727371121, -0.13659888752507138, -0.12848301315832822, 0.0692283814681358, -0.044204344545475775, -0.25046258001897453, 0.03512091314435371, 0.10764762496606248, 0.13236359424400526, -0.0923719711021566, -0.08867517045744863, -0.031133525252922394, 0.057415198336248516, -0.030241944329034477, 0.04557366218020926, 0.06757517915493885, -0.08490037629151809, -0.08517894458758538, 0.42859863807431986, -0.04552646700033277, -0.21797002070262783, 0.17117455886432625, -0.12057994790069881, -0.17513237059971348, 0.13831703308359033, 0.11000974921387482, 0.12224927648413376, -0.06049446144893185, 0.16043219264581432, -0.1278815219545218, 0.04906888556529264, 0.03747521262982341, -0.008429373782433447, 0.09556835992109092, 0.11854466244761573, 0.1405746920843471, 0.08768763692408311, 0.057108952862317444, -0.04241816294913898, -0.40048609893830095, -0.18385400668885865, -0.0738585695899168, 0.16365146624748825, -0.08986431704194774, -0.1923051493272918, 0.4325113743848977, 0.050777175223271624, 0.20335781572722508, 0.08946787187310516, 0.20600045050998203, 0.05379848981554788, 0.044518554506853956, 0.02820891503733201, 0.15339337768735456, 0.2678208808628384, 0.024468772830899623, -0.12967681466433845, -0.051873920611334876, 0.17154291570644642] |
710.0735 | Critical points of quadratic renormalizations of random variables and
phase transitions of disordered polymer models on diamond lattices | We study the wetting transition and the directed polymer delocalization
transition on diamond hierarchical lattices.These two phase transitions with
frozen disorder correspond to the critical points of quadratic renormalizations
of the partition function.(These exact renormalizations on diamond lattices can
also be considered as approximate Migdal-Kadanoff renormalizations for
hypercubic lattices). In terms of the rescaled partition function
$z=Z/Z_{typ}$,we find that the critical point corresponds to a fixed point
distribution with a power-law tail $P_c(z) \sim \Phi(\ln z)/z^{1+\mu}$ as $z
\to +\infty$ (up to some sub-leading logarithmic correction $\Phi(\ln z)$), so
that all moments $z^{n}$ with $n>\mu$ diverge. For the wetting transition, the
first moment diverges $\bar{z}=+\infty$ (case $0<\mu<1$), and the critical
temperature is strictly below the annealed temperature $T_c<T_{ann}$. For the
directed polymer case, the second moment diverges $\bar{z^2}=+\infty$ (case
$1<\mu<2$), and the critical temperature is strictly below the exactly known
transition temperature $T_2$ of the second moment.We then consider the
correlation length exponent $\nu$ :the linearized renormalization around the
fixed point distribution coincides with the transfer matrix describing a
directed polymer on the Cayley tree, but the random weights determined by the
fixed point distribution $P_c(z)$ are broadly distributed. This induces some
changes in the travelling wave solutions with respect to the usual case of more
narrow distributions.
| cond-mat.dis-nn | we study the wetting transition and the directed polymer delocalization transition on diamond hierarchical latticesthese two phase transitions with frozen disorder correspond to the critical points of quadratic renormalizations of the partition functionthese exact renormalizations on diamond lattices can also be considered as approximate migdalkadanoff renormalizations for hypercubic lattices in terms of the rescaled partition function zzz_typwe find that the critical point corresponds to a fixed point distribution with a powerlaw tail p_cz sim philn zz1mu as z to infty up to some subleading logarithmic correction philn z so that all moments zn with nmu diverge for the wetting transition the first moment diverges barzinfty case 0mu1 and the critical temperature is strictly below the annealed temperature t_ct_ann for the directed polymer case the second moment diverges barz2infty case 1mu2 and the critical temperature is strictly below the exactly known transition temperature t_2 of the second momentwe then consider the correlation length exponent nu the linearized renormalization around the fixed point distribution coincides with the transfer matrix describing a directed polymer on the cayley tree but the random weights determined by the fixed point distribution p_cz are broadly distributed this induces some changes in the travelling wave solutions with respect to the usual case of more narrow distributions | [['we', 'study', 'the', 'wetting', 'transition', 'and', 'the', 'directed', 'polymer', 'delocalization', 'transition', 'on', 'diamond', 'hierarchical', 'latticesthese', 'two', 'phase', 'transitions', 'with', 'frozen', 'disorder', 'correspond', 'to', 'the', 'critical', 'points', 'of', 'quadratic', 'renormalizations', 'of', 'the', 'partition', 'functionthese', 'exact', 'renormalizations', 'on', 'diamond', 'lattices', 'can', 'also', 'be', 'considered', 'as', 'approximate', 'migdalkadanoff', 'renormalizations', 'for', 'hypercubic', 'lattices', 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710.0736 | Colour image segmentation by the vector-valued Allen-Cahn phase-field
model: a multigrid solution | We propose a new method for the numerical solution of a PDE-driven model for
colour image segmentation and give numerical examples of the results. The
method combines the vector-valued Allen-Cahn phase field equation with initial
data fitting terms. This method is known to be closely related to the
Mumford-Shah problem and the level set segmentation by Chan and Vese. Our
numerical solution is performed using a multigrid splitting of a finite element
space, thereby producing an efficient and robust method for the segmentation of
large images.
| cs.CV cs.NA | we propose a new method for the numerical solution of a pdedriven model for colour image segmentation and give numerical examples of the results the method combines the vectorvalued allencahn phase field equation with initial data fitting terms this method is known to be closely related to the mumfordshah problem and the level set segmentation by chan and vese our numerical solution is performed using a multigrid splitting of a finite element space thereby producing an efficient and robust method for the segmentation of large images | [['we', 'propose', 'a', 'new', 'method', 'for', 'the', 'numerical', 'solution', 'of', 'a', 'pdedriven', 'model', 'for', 'colour', 'image', 'segmentation', 'and', 'give', 'numerical', 'examples', 'of', 'the', 'results', 'the', 'method', 'combines', 'the', 'vectorvalued', 'allencahn', 'phase', 'field', 'equation', 'with', 'initial', 'data', 'fitting', 'terms', 'this', 'method', 'is', 'known', 'to', 'be', 'closely', 'related', 'to', 'the', 'mumfordshah', 'problem', 'and', 'the', 'level', 'set', 'segmentation', 'by', 'chan', 'and', 'vese', 'our', 'numerical', 'solution', 'is', 'performed', 'using', 'a', 'multigrid', 'splitting', 'of', 'a', 'finite', 'element', 'space', 'thereby', 'producing', 'an', 'efficient', 'and', 'robust', 'method', 'for', 'the', 'segmentation', 'of', 'large', 'images']] | [-0.04907460244482054, -0.02084211811050088, -0.10672360515232225, 0.044439467224840296, -0.06738430857658387, -0.12024752437410986, 0.01747699069845326, 0.36742791761370264, -0.27145457754240315, -0.3313150522244327, 0.13100474039640497, -0.2575202235294616, -0.1506198968519183, 0.2350685681353378, -0.08963347584666574, 0.10087086351259666, 0.13023667537388117, -0.01178573058808551, -0.06453662917346639, -0.2384671459097744, 0.3247022725066499, 0.01898213463890202, 0.2799959122805911, 0.03664203761145472, 0.1622214036349974, -0.04365938873139813, -0.04612541850656271, 0.029715297064018053, -0.120940189792172, 0.16258486334974057, 0.2475269247805152, 0.12658578473526766, 0.28258629067088753, -0.36404974982690286, -0.21057870867114295, 0.05504420677008217, 0.12287088029415291, 0.13880336501717785, -0.13473142745480052, -0.31764260225874535, 0.1085265989689266, -0.12354115983608234, -0.1173772781922975, -0.16110888637383194, -0.035967952026711665, -0.0019253731540897314, -0.35435991979697173, 0.10743033253204297, 0.03077194996397285, 0.019880973975009777, -0.1222473594633972, -0.10584646142635713, 0.03723613122916397, 0.08827852067701956, -0.007555533086826258, 0.08306668667184354, 0.0411916819811963, -0.1285679012619178, -0.10896878556403167, 0.372280506219934, -0.05776188379591879, -0.25533157893840003, 0.14711809557150393, -0.04076079285210547, -0.09635742649655132, 0.16830331650288666, 0.15022935339194887, 0.1970404999001938, -0.12558612980167655, 0.06644469744744985, -0.04837502891964772, 0.15170755389502602, 0.008599233923151213, -0.08876564291251056, 0.10414428404148887, 0.22956104006837397, 0.097046518200488, 0.17037204810938633, -0.13326616610455164, -0.056712119867477345, -0.3093597342424533, -0.15123131057137953, -0.1950278090313077, -0.05179816407206304, -0.13732607795733628, -0.21379415311795824, 0.4251978055026163, 0.17021852360819192, 0.18165478729369008, 0.07018266459379126, 0.33615543894908007, 0.13805900960629944, 0.03474010470432832, 0.054786926283336736, 0.14758151716497891, 0.12573087863788446, 0.07637801722020787, -0.23166249482070697, 0.01283284690888489, 0.17747759451432263] |
710.0737 | Dynamical Simulations with Highly Improved Staggered Quarks | It is well established that lattice artifacts can be suppressed substantially
by the use of SU(3)-projected smeared links in the fermion action. An example
is the Highly Improved Staggered Quark action where the ASQ-like effective
links are constructed from reunitarized Fat7 links. A general procedure is
presented for computing the derivative of the fermion action with respect to
the base links (fermion force) - a key component in dynamical simulations using
molecular dynamics evolution. The method is iterative and can be applied to
actions with arbitrary levels of smearing and reunitarization. The cost of
calculating the fermion force is determined for the ASQ action and the HISQ
action. Test results show that calculating the HISQ force is about two times
more expensive than the ASQ force.
| hep-lat | it is well established that lattice artifacts can be suppressed substantially by the use of su3projected smeared links in the fermion action an example is the highly improved staggered quark action where the asqlike effective links are constructed from reunitarized fat7 links a general procedure is presented for computing the derivative of the fermion action with respect to the base links fermion force a key component in dynamical simulations using molecular dynamics evolution the method is iterative and can be applied to actions with arbitrary levels of smearing and reunitarization the cost of calculating the fermion force is determined for the asq action and the hisq action test results show that calculating the hisq force is about two times more expensive than the asq force | [['it', 'is', 'well', 'established', 'that', 'lattice', 'artifacts', 'can', 'be', 'suppressed', 'substantially', 'by', 'the', 'use', 'of', 'su3projected', 'smeared', 'links', 'in', 'the', 'fermion', 'action', 'an', 'example', 'is', 'the', 'highly', 'improved', 'staggered', 'quark', 'action', 'where', 'the', 'asqlike', 'effective', 'links', 'are', 'constructed', 'from', 'reunitarized', 'fat7', 'links', 'a', 'general', 'procedure', 'is', 'presented', 'for', 'computing', 'the', 'derivative', 'of', 'the', 'fermion', 'action', 'with', 'respect', 'to', 'the', 'base', 'links', 'fermion', 'force', 'a', 'key', 'component', 'in', 'dynamical', 'simulations', 'using', 'molecular', 'dynamics', 'evolution', 'the', 'method', 'is', 'iterative', 'and', 'can', 'be', 'applied', 'to', 'actions', 'with', 'arbitrary', 'levels', 'of', 'smearing', 'and', 'reunitarization', 'the', 'cost', 'of', 'calculating', 'the', 'fermion', 'force', 'is', 'determined', 'for', 'the', 'asq', 'action', 'and', 'the', 'hisq', 'action', 'test', 'results', 'show', 'that', 'calculating', 'the', 'hisq', 'force', 'is', 'about', 'two', 'times', 'more', 'expensive', 'than', 'the', 'asq', 'force']] | [-0.14628242960195864, 0.2177497824637868, -0.10588089414691353, 0.07403698873567618, -0.05773186592446748, -0.13041151288323383, 0.04580498400937058, 0.38675006826923897, -0.20615417593012542, -0.28580640674970875, 0.0834028347845628, -0.2617967100929438, -0.15240773125667095, 0.1792609624733979, -0.013617685641939482, 0.02794667877918802, 0.08777864308920034, 0.06338970009853279, -0.09286414585432254, -0.26147253627403955, 0.3364036204572382, 0.062398441620786824, 0.2617236429225068, 0.08892224147946627, 0.08520217557737897, 0.00022290929697823427, -0.06323158506434873, 0.021055163850253526, -0.033654341024509246, 0.10669901830044166, 0.16664312039030532, 0.017895762108204778, 0.17362031119698582, -0.394515260992464, -0.21656234321677056, 0.058687179507148905, 0.11519749997152894, 0.1155478141139731, 0.0008807432897194588, -0.2914455096383602, 0.09301737520251084, -0.1867751616846062, -0.14858731422342422, -0.12479331063429926, -0.027523092275162128, -0.0224096932302206, -0.3338767892146129, 0.03937155724967799, -0.03494122934220782, 0.07898902273659926, -0.031991277194066234, -0.11483637304988129, -0.026135010577445803, 0.14382149666366897, 0.07416583222918181, 0.11594371397571623, 0.15955066559682332, -0.16724861365904617, -0.11206350316224266, 0.4518831187766815, -0.09080934971303983, -0.25656735539616254, 0.1693007916650804, -0.07862713903358037, -0.08486224260673789, 0.14113196996617608, 0.10794659504620743, 0.12813947644962137, -0.1695903139111917, 0.06768300999119524, -0.013050163703516495, 0.15941189636653366, 0.066602685939028, -0.02561391799370104, 0.16502066608518362, 0.1424948751295278, 0.073037327690558, 0.12084965987038637, -0.03838971347648127, -0.13408829336639586, -0.24910374661553497, -0.13025076354830717, -0.1938380414142835, 0.06665119880133054, -0.09927987517783715, -0.11294785116930023, 0.38228939017203967, 0.16126808574546345, 0.137801839050275, 0.039704201496706525, 0.3167763119717398, 0.15750983886205214, 0.11865061627362262, 0.07912925177461598, 0.18484392722930051, 0.11572133706043636, 0.03447458237286442, -0.28425284200934847, -0.012122541104158587, 0.12949428019644924] |
710.0738 | Superconductivity in novel Ge-based skutterudites: {Sr,Ba}Pt_4Ge_{12} | Combining experiments and ab initio models we report on $\rm SrPt_4Ge_{12}$
and $\rm BaPt_4Ge_{12}$ as members of a novel class of superconducting
skutterudites, where Sr or Ba atoms stabilize a framework entirely formed by
Ge-atoms. Below $T_c=5.35$ K, and 5.10 K for $\rm BaPt_4Ge_{12}$ and $\rm
SrPt_4Ge_{12}$, respectively, electron-phonon coupled superconductivity
emerges, ascribed to intrinsic features of the Pt-Ge framework, where Ge-$p$
states dominate the electronic structure at the Fermi energy.
| cond-mat.supr-con cond-mat.mtrl-sci | combining experiments and ab initio models we report on rm srpt_4ge_12 and rm bapt_4ge_12 as members of a novel class of superconducting skutterudites where sr or ba atoms stabilize a framework entirely formed by geatoms below t_c535 k and 510 k for rm bapt_4ge_12 and rm srpt_4ge_12 respectively electronphonon coupled superconductivity emerges ascribed to intrinsic features of the ptge framework where gep states dominate the electronic structure at the fermi energy | [['combining', 'experiments', 'and', 'ab', 'initio', 'models', 'we', 'report', 'on', 'rm', 'srpt_4ge_12', 'and', 'rm', 'bapt_4ge_12', 'as', 'members', 'of', 'a', 'novel', 'class', 'of', 'superconducting', 'skutterudites', 'where', 'sr', 'or', 'ba', 'atoms', 'stabilize', 'a', 'framework', 'entirely', 'formed', 'by', 'geatoms', 'below', 't_c535', 'k', 'and', '510', 'k', 'for', 'rm', 'bapt_4ge_12', 'and', 'rm', 'srpt_4ge_12', 'respectively', 'electronphonon', 'coupled', 'superconductivity', 'emerges', 'ascribed', 'to', 'intrinsic', 'features', 'of', 'the', 'ptge', 'framework', 'where', 'gep', 'states', 'dominate', 'the', 'electronic', 'structure', 'at', 'the', 'fermi', 'energy']] | [-0.13633849430256165, 0.18649992477506971, 0.0130004552551187, 0.023208307324407193, 0.021165610405688103, -0.15755489255086733, 0.1140393184354672, 0.36824191672584183, -0.2728097132478769, -0.30156366138790663, -0.032587780355690765, -0.36085201589963756, -0.08286694681916673, 0.12910694932350172, 0.1197815690906002, -0.05269572746295195, -0.02066475125746085, 0.0015268745115743234, -0.13948954776502573, -0.17337073739259862, 0.3015712642039244, 0.03642511224517456, 0.26457605343312024, 0.07091322433060178, 0.07010891769941037, -0.04901301357536935, 0.11923423059857809, 0.03234479494679433, -0.1612752362799186, 0.12810936304651058, 0.29027194921179145, -0.024346039379731968, 0.21150627648816087, -0.4275348719782554, -0.19927209581320102, 0.00460880331408519, 0.12518899973768455, 0.060283313353116125, -0.027798183923229, -0.29668734898933996, 0.12330260511774283, -0.13353633139139184, -0.060233701770910274, -0.08259578269118299, -0.016377449970549116, -0.04031579462954631, -0.2602327349783781, 0.11839808504670285, 0.05851756663133319, 0.10776369551626536, -0.11383287017591871, -0.21120513935501758, -0.046283726601933056, -0.0475007485705786, -0.05486297315129867, 0.07308591334865644, 0.16047337928500313, -0.10090554741999277, -0.07875563465058803, 0.41820979084676274, -0.11916462266817689, -0.018762851198418782, 0.15553190228171074, -0.08399844848049375, -0.12385961235715792, 0.15367039694235876, 0.15435917795850682, 0.12607165353659253, -0.08909449674135361, 0.12332143627035504, -0.0011580813532838454, 0.1978374250806295, 0.006440672647351256, 0.0972069482319057, 0.240501911766254, 0.1964103241594365, -0.0017312113338938126, 0.05087615753022524, -0.14306003420183866, -0.012600783330316726, -0.23017949198301021, -0.13886308561150845, -0.16293308560091715, 0.07755616166485617, 0.005696669408084395, -0.12012504185908116, 0.33577047589306647, 0.09520759496551294, 0.21646048495402703, -0.04840393875940488, 0.14761608260182235, 0.06515164425274214, 0.07894518784104058, 0.09292762237959183, 0.19689353202971127, 0.17208276165004532, -0.0011437552551237437, -0.3052748934365809, 0.03290587800483291, 0.0034459716998613797] |
710.0739 | Transport and spectral functions in high-temperature QCD | The current status of transport coefficients in relativistic field theories
at high temperature is reviewed. I contrast weak coupling results obtained
using kinetic theory/diagrammatic techniques with strong coupling results
obtained using gauge/gravity duality, and describe the recent developments in
extracting transport coefficients and spectral functions from lattice QCD
simulations. The fate of quarkonium at high temperature as seen from the
lattice is briefly mentioned as well.
| hep-lat hep-ph nucl-th | the current status of transport coefficients in relativistic field theories at high temperature is reviewed i contrast weak coupling results obtained using kinetic theorydiagrammatic techniques with strong coupling results obtained using gaugegravity duality and describe the recent developments in extracting transport coefficients and spectral functions from lattice qcd simulations the fate of quarkonium at high temperature as seen from the lattice is briefly mentioned as well | [['the', 'current', 'status', 'of', 'transport', 'coefficients', 'in', 'relativistic', 'field', 'theories', 'at', 'high', 'temperature', 'is', 'reviewed', 'i', 'contrast', 'weak', 'coupling', 'results', 'obtained', 'using', 'kinetic', 'theorydiagrammatic', 'techniques', 'with', 'strong', 'coupling', 'results', 'obtained', 'using', 'gaugegravity', 'duality', 'and', 'describe', 'the', 'recent', 'developments', 'in', 'extracting', 'transport', 'coefficients', 'and', 'spectral', 'functions', 'from', 'lattice', 'qcd', 'simulations', 'the', 'fate', 'of', 'quarkonium', 'at', 'high', 'temperature', 'as', 'seen', 'from', 'the', 'lattice', 'is', 'briefly', 'mentioned', 'as', 'well']] | [-0.09234850435302808, 0.18049957435578107, -0.049845187896146226, 0.05458998753545949, -0.021830148865970282, -0.12220732500919929, -0.0037549176468298986, 0.35777625891451653, -0.2664705797886619, -0.23002772430101268, 0.08881225138902664, -0.29078078439029365, -0.08227295995904849, 0.18290458301512094, 0.04946726540533396, 0.07566438176167699, 0.03946074863465933, -0.0007403411544286288, -0.12110608085416831, -0.19763533098694797, 0.31350976578318157, 0.1067724308787057, 0.30531500950455664, 0.18033177193540792, 0.08135218075834788, 0.031051600853411052, -0.05926391090481327, 0.08079060328264649, -0.179277528091692, 0.06349816134629341, 0.2472767459300275, 0.03068675212562084, 0.14685485481212918, -0.437572460850844, -0.24256912977076495, -0.04468101976582637, 0.11334504353491447, 0.15021687912253234, -0.09911365417333749, -0.23728304643255588, 0.02914802416299398, -0.15896427880686062, -0.1687989430072216, -0.11305811098561837, -0.06701429757858232, 0.059213102035797556, -0.25172546884188285, 0.1149027702362778, -0.049641577009326567, 0.11370750889182091, -0.051125448517716277, -0.19655999896618037, -0.010809039191987653, 0.07603463153892125, 0.10285030705854296, 0.09437283316197304, 0.1293259542148847, -0.22536847526207565, -0.16037505578536254, 0.39312829562964346, -0.13374003716386282, -0.09741446878761054, 0.2371208740398288, -0.18785188338504388, -0.15628482811152936, 0.08483077993509001, 0.11993196168198035, 0.11185410183926041, -0.13503212607823886, 0.1181667687640024, 0.003882525273813651, 0.08750541147131186, 0.03518906715326011, 0.09192495363262984, 0.2556308411061764, 0.1540236679980388, -0.08668705511551637, 0.09534534599202184, -0.03110511661148988, -0.1077062509380854, -0.34580448990186247, -0.05363339935071193, -0.1936793857289908, 0.07343592197419359, -0.08056036688056058, -0.08237120906750743, 0.3396673527976068, 0.18455390824148288, 0.2079740452651794, 0.012967441281160483, 0.2723841434917771, 0.16995923961512743, 0.023874017796837368, 0.046340289812248484, 0.2890030112063799, 0.22661400434489434, 0.18549183428717347, -0.27562736976855934, -0.036758347727859825, 0.13907032302365854] |
710.074 | On 3-dimensional Asymptotically Harmonic Manifolds | Let (M,g) be a complete, simply connected Riemannian manifold of dimension 3
without conjugate points. We show that M is a hyperbolic manifold of constant
sectional curvature, provided M is asymptotically harmonic of constant h > 0.
| math.DG | let mg be a complete simply connected riemannian manifold of dimension 3 without conjugate points we show that m is a hyperbolic manifold of constant sectional curvature provided m is asymptotically harmonic of constant h 0 | [['let', 'mg', 'be', 'a', 'complete', 'simply', 'connected', 'riemannian', 'manifold', 'of', 'dimension', '3', 'without', 'conjugate', 'points', 'we', 'show', 'that', 'm', 'is', 'a', 'hyperbolic', 'manifold', 'of', 'constant', 'sectional', 'curvature', 'provided', 'm', 'is', 'asymptotically', 'harmonic', 'of', 'constant', 'h', '0']] | [-0.2648845108018981, 0.16814878269926542, -0.009263875894248486, -0.001718768054464211, -0.16599211017859894, -0.28327378674617243, -0.028061041401492223, 0.40602721367031336, -0.19357645681237853, -0.21337874699383974, 0.07488123869471666, -0.29309058874948984, -0.12720375334740514, 0.13394189763089848, -0.12078133722146352, -0.046493754204776555, 0.09096938050869438, 0.15816751815792587, -0.06114839766976527, -0.28497034467161736, 0.4574147146195173, -0.07777539425943461, 0.14064163269682062, 0.0714330409343044, 0.169130466464493, -0.092254739416401, 0.0419644750137296, 0.14203762363306144, -0.20638826482435332, 0.08391384513945216, 0.23542595258913934, 0.07744404940684843, 0.23279779965782332, -0.29893091538300115, -0.2498944974827787, 0.22463498114504749, 0.1480775441094819, -0.0879916425070001, 0.0005273920380406909, -0.2648344925708241, 0.1736594990361482, 0.01832680616320835, -0.24806383435821366, -0.0690688399804963, 0.07153552443358219, -0.08457573945634067, -0.26426290643091005, 0.00152486800086788, 0.15569225595229202, 0.08346800870882969, -0.03131069438273294, -0.14826768421981898, -0.12467513245064765, 0.06936865478766979, -0.06530575264090051, 0.13946714091839063, 0.11746547667361382, 0.07051416574459937, -0.047881264705210924, 0.305550899485954, -0.2205024353849391, -0.35429287722541225, 0.016652798590560753, -0.16843378647334045, -0.059688368579372764, 0.16416239790204498, 0.13720452775143915, 0.22317609263377058, -0.002930522689388858, 0.3139143423953404, -0.008680033419902125, 0.1542975894537651, 0.09206935859078334, -0.1267688390152115, 0.08117517014034092, 0.060331567759729095, 0.26078419296795297, 0.04486901268763985, 0.018764487985107634, 0.021818320810173947, -0.3775308177702957, -0.2708172273511688, -0.2588885237685948, 0.3330729020655983, -0.23333930447956341, -0.1613978111806015, 0.2697605273117208, -0.15168505159413648, 0.2585069008378519, 0.1351640700466103, 0.23701735792888534, 0.005612390718953166, -0.03321654358620031, 0.21743663020121554, 0.13898120106508335, 0.24410447105765343, -0.027345878227303427, -0.12518169296284518, -0.11102964774343288, 0.13051659040825647] |
710.0741 | B Semileptonic Decays at High Recoil Momentum | We explore the possibility of studying $B\to\pi l\nu$ semileptonic decays at
large recoil momentum. Our methods include the use of a random-wall source for
the pion to reduce statistical errors, and different smearing functions are
used for the B meson to improve the overlap with the ground state. We observe,
in general, a factor of 3-4 improvement in the signal-to-noise ratio in
correlation functions if random-wall propagators are used.
| hep-lat | we explore the possibility of studying btopi lnu semileptonic decays at large recoil momentum our methods include the use of a randomwall source for the pion to reduce statistical errors and different smearing functions are used for the b meson to improve the overlap with the ground state we observe in general a factor of 34 improvement in the signaltonoise ratio in correlation functions if randomwall propagators are used | [['we', 'explore', 'the', 'possibility', 'of', 'studying', 'btopi', 'lnu', 'semileptonic', 'decays', 'at', 'large', 'recoil', 'momentum', 'our', 'methods', 'include', 'the', 'use', 'of', 'a', 'randomwall', 'source', 'for', 'the', 'pion', 'to', 'reduce', 'statistical', 'errors', 'and', 'different', 'smearing', 'functions', 'are', 'used', 'for', 'the', 'b', 'meson', 'to', 'improve', 'the', 'overlap', 'with', 'the', 'ground', 'state', 'we', 'observe', 'in', 'general', 'a', 'factor', 'of', '34', 'improvement', 'in', 'the', 'signaltonoise', 'ratio', 'in', 'correlation', 'functions', 'if', 'randomwall', 'propagators', 'are', 'used']] | [-0.051982307973415104, 0.1494997269682475, -0.06040856591773344, 0.15473194456478553, -0.026760294588644113, -0.08367404728474569, 0.10229059952179165, 0.3473642354469691, -0.21064458809681794, -0.26023696771642163, -0.005622990622268573, -0.32056015771605184, -0.0180760915425898, 0.15553140332018817, 0.04210353281293342, 0.1111758796970791, 0.09139163398753795, -0.00599802582900026, -0.13986150062740293, -0.21896115522275664, 0.33168022882248926, 0.039741800625377625, 0.24868976069725493, 0.1148602986402476, 0.028624981565317557, 0.03033923610016259, -0.08093164109889028, -0.036853426295930324, -0.12967807917730578, 0.053453707476772035, 0.2160751077888617, 0.1257054506481361, 0.19578661897511623, -0.3255716894906181, -0.14170791460340149, 0.12802606837740585, 0.15467248808370151, 0.12322762814253124, 0.007800613613382204, -0.2863484641064459, 0.0954635330778199, -0.18886960896232458, -0.09820079711029556, -0.1382153523085055, -0.012679608066135379, -0.0008570848852952025, -0.34325551327470855, 0.10948793435775077, -0.06633107304058747, 0.029996548014790264, -0.0041299828244790214, -0.2436273920318501, 0.06255465948523314, 0.15582848586308867, 0.07150124716780969, 0.09529166835457531, 0.13266594003218768, -0.16285086905674093, -0.11693218151548766, 0.38653814923296226, -0.09147752371074548, -0.24306176415185876, 0.1470792093800742, -0.19634026245895161, -0.15955634598634136, 0.16988916155784878, 0.24344493587737653, 0.06722271443803364, -0.13260562635902592, 0.050297219944777274, 0.021347061605818236, 0.17450882544490828, 0.08156053563440914, 0.10203411439763826, 0.1536742331487919, 0.14002632734768872, -0.014883514452002831, 0.1421069119181206, -0.13760974694655012, -0.02704104940309676, -0.3081818492110096, -0.1425516379253466, -0.11315189307354001, 0.06260305405385903, -0.08786542749761277, -0.11135623968248047, 0.39956270967290475, 0.12647838053752236, 0.23131658527444102, 0.032405990297530794, 0.2879370620001608, 0.11638457338680137, 0.08623992636844989, 0.10456290445811768, 0.30613699559567137, 0.14951883057313067, 0.120142034908284, -0.2818024893597102, 0.0016884602321339632, 0.022366369323832774] |
710.0742 | Principle of Minimum Distance in Space of States as New Principle in
Quantum Physics | The mathematician Leonhard Euler (1707-1783) appears to have been a
philosophical optimist having written: "Since the fabric of universe is the
most perfect and is the work of the most wise Creator, nothing whatsoever take
place in this universe in which some relation of maximum or minimum does not
appear. Wherefore, there is absolutely no doubt that every effect in universe
can be explained as satisfactory from final causes themselves the aid of the
method of Maxima and Minima, as can from the effective causes". Having in mind
this kind of optimism, in the papers [1-16] we introduced and investigated the
possibility to construct a predictive analytic theory of the elementary
particle interaction based on the principle of minimum distance in the space of
quantum states (PMD-SQS). So, choosing the partial transition amplitudes as the
system variational variables and the distance in the space of the quantum
states as a measure of the system effectiveness, we obtained the results
[1-16]. These results proved that the principle of minimum distance in space of
quantum states (PMD-SQS) can be chosen as variational principle by which we can
find the analytic expressions of the partial transition amplitudes. In this
paper we present a description of hadron-hadron scattering via principle of
minimum distance PMD-SQS when the distance in space of states is minimized with
two directional constraints. Then by using the available experimental
(pion-nucleon and kaon-nucleon) phase shifts we obtained not only consistent
experimental tests of the PMD-SQS optimality, but also strong experimental
evidences for new principles in hadronic physics such as: Principle of
nonextensivity conjugation via the Riesz-Thorin relation (1/2p+1/2q=1) and a
new Principle of limited uncertainty in nonextensive quantum physics.
| physics.gen-ph | the mathematician leonhard euler 17071783 appears to have been a philosophical optimist having written since the fabric of universe is the most perfect and is the work of the most wise creator nothing whatsoever take place in this universe in which some relation of maximum or minimum does not appear wherefore there is absolutely no doubt that every effect in universe can be explained as satisfactory from final causes themselves the aid of the method of maxima and minima as can from the effective causes having in mind this kind of optimism in the papers 116 we introduced and investigated the possibility to construct a predictive analytic theory of the elementary particle interaction based on the principle of minimum distance in the space of quantum states pmdsqs so choosing the partial transition amplitudes as the system variational variables and the distance in the space of the quantum states as a measure of the system effectiveness we obtained the results 116 these results proved that the principle of minimum distance in space of quantum states pmdsqs can be chosen as variational principle by which we can find the analytic expressions of the partial transition amplitudes in this paper we present a description of hadronhadron scattering via principle of minimum distance pmdsqs when the distance in space of states is minimized with two directional constraints then by using the available experimental pionnucleon and kaonnucleon phase shifts we obtained not only consistent experimental tests of the pmdsqs optimality but also strong experimental evidences for new principles in hadronic physics such as principle of nonextensivity conjugation via the rieszthorin relation 12p12q1 and a new principle of limited uncertainty in nonextensive quantum physics | [['the', 'mathematician', 'leonhard', 'euler', '17071783', 'appears', 'to', 'have', 'been', 'a', 'philosophical', 'optimist', 'having', 'written', 'since', 'the', 'fabric', 'of', 'universe', 'is', 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'transition', 'amplitudes', 'as', 'the', 'system', 'variational', 'variables', 'and', 'the', 'distance', 'in', 'the', 'space', 'of', 'the', 'quantum', 'states', 'as', 'a', 'measure', 'of', 'the', 'system', 'effectiveness', 'we', 'obtained', 'the', 'results', '116', 'these', 'results', 'proved', 'that', 'the', 'principle', 'of', 'minimum', 'distance', 'in', 'space', 'of', 'quantum', 'states', 'pmdsqs', 'can', 'be', 'chosen', 'as', 'variational', 'principle', 'by', 'which', 'we', 'can', 'find', 'the', 'analytic', 'expressions', 'of', 'the', 'partial', 'transition', 'amplitudes', 'in', 'this', 'paper', 'we', 'present', 'a', 'description', 'of', 'hadronhadron', 'scattering', 'via', 'principle', 'of', 'minimum', 'distance', 'pmdsqs', 'when', 'the', 'distance', 'in', 'space', 'of', 'states', 'is', 'minimized', 'with', 'two', 'directional', 'constraints', 'then', 'by', 'using', 'the', 'available', 'experimental', 'pionnucleon', 'and', 'kaonnucleon', 'phase', 'shifts', 'we', 'obtained', 'not', 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710.0743 | Generalized Super-Cerenkov Radiations in Nuclear and Hadronic Media | Generalized Super-Cerenkov Radiations (SCR), as well as their SCR-signatures
are investigated and classified. Two general SCR- coherence conditions are
found as two natural extremes of the same spontaneous particles decay in
(dielectric, nuclear or hadronic) media The main results on the quantum theory
of the SCR-phenomena as well as the results of the first experimental test of
the super-coherence conditions, obtained by using the experimental data from
BNL are presented. The new concepts such as: SCR-gluons, SCR-W-bosons and
SCR-Z-bosons, all three suggested by elementary particle classification, are
introduced. The gluonic Super-Cerenkov-like radiation, first introduced here,
is schematically described. The interpretation of some recent RHIC results as
signature of the SCR-gluons is suggested.
| hep-ph | generalized supercerenkov radiations scr as well as their scrsignatures are investigated and classified two general scr coherence conditions are found as two natural extremes of the same spontaneous particles decay in dielectric nuclear or hadronic media the main results on the quantum theory of the scrphenomena as well as the results of the first experimental test of the supercoherence conditions obtained by using the experimental data from bnl are presented the new concepts such as scrgluons scrwbosons and scrzbosons all three suggested by elementary particle classification are introduced the gluonic supercerenkovlike radiation first introduced here is schematically described the interpretation of some recent rhic results as signature of the scrgluons is suggested | [['generalized', 'supercerenkov', 'radiations', 'scr', 'as', 'well', 'as', 'their', 'scrsignatures', 'are', 'investigated', 'and', 'classified', 'two', 'general', 'scr', 'coherence', 'conditions', 'are', 'found', 'as', 'two', 'natural', 'extremes', 'of', 'the', 'same', 'spontaneous', 'particles', 'decay', 'in', 'dielectric', 'nuclear', 'or', 'hadronic', 'media', 'the', 'main', 'results', 'on', 'the', 'quantum', 'theory', 'of', 'the', 'scrphenomena', 'as', 'well', 'as', 'the', 'results', 'of', 'the', 'first', 'experimental', 'test', 'of', 'the', 'supercoherence', 'conditions', 'obtained', 'by', 'using', 'the', 'experimental', 'data', 'from', 'bnl', 'are', 'presented', 'the', 'new', 'concepts', 'such', 'as', 'scrgluons', 'scrwbosons', 'and', 'scrzbosons', 'all', 'three', 'suggested', 'by', 'elementary', 'particle', 'classification', 'are', 'introduced', 'the', 'gluonic', 'supercerenkovlike', 'radiation', 'first', 'introduced', 'here', 'is', 'schematically', 'described', 'the', 'interpretation', 'of', 'some', 'recent', 'rhic', 'results', 'as', 'signature', 'of', 'the', 'scrgluons', 'is', 'suggested']] | [-0.0428487273479382, 0.19035554277406147, -0.07008018074198984, 0.10354876738766997, -0.021021783333988145, -0.07761012612340543, -0.043323328824883975, 0.3276498360881725, -0.2167812280374794, -0.312496033797148, 0.10393510071690588, -0.27105039321423435, -0.12887928550089084, 0.22817329595272895, 0.0005276118172332644, 0.1000415059702041, 0.010892486074366249, 0.044551621889695525, -0.027462169384727113, -0.2170037882259259, 0.3226993258106701, 0.06889856216058923, 0.2519329986758888, 0.10722643612937716, 0.06530962182464115, -0.001279141386755957, -0.09306651789498013, 0.039124552733623065, -0.10336129453991397, 0.06004452341809296, 0.2436542687288378, 0.12770146963213427, 0.1959668571720473, -0.42147570384594685, -0.22974642418110028, 0.01634258734366785, 0.10226754751951936, 0.10033732728781895, -0.07588750654227064, -0.3228049495866379, 0.06335552685553782, -0.18861078230055192, -0.11329258196593191, -0.08102517316225342, -0.02678539108287973, 0.07143297628947319, -0.23889063557502455, 0.06553970396858998, 0.07272004848569989, 0.06047544556741531, -0.09920850179892463, -0.1911057625492014, -0.020588312186121654, 0.12156588952012289, 0.08984671504115865, 0.008725868152955977, 0.13567598991525862, -0.11278639753940158, -0.19660346844914153, 0.42735810585033435, -0.050734622233833834, -0.13507229718827427, 0.22642005635917975, -0.12229769634835136, -0.11279426833453517, 0.05197307673202326, 0.10113804049503344, 0.11726386490940618, -0.1953319613284503, 0.025918797509313245, -0.06272285872658429, 0.06478341534518851, 0.08380876280940495, 0.07607589301915141, 0.1598068254534155, 0.16834478373101985, -0.04226766395955705, 0.1368489845302135, -0.058031812227384835, -0.07705074591705433, -0.38311624602199745, -0.12612924352288246, -0.22057415828525195, 0.018684366903751373, -0.034570941477375945, -0.10225264671204898, 0.3879599536213881, 0.08031671881102599, 0.22362615196750715, -0.011855224881751033, 0.2854231381833625, 0.09379782137358024, 0.043835644939323314, 0.018445050543120418, 0.2839787227670828, 0.16284920163721275, 0.10519790045397642, -0.19360520337627699, 0.045510266317600884, 0.05785579126005849] |
710.0744 | New Nuclear And Subnuclear Exotic Decays | In this paper new nuclear and subnuclear exotic decays are investigated. Some
theoretical problems of the pionic radioactivity, such as fission-like models,
applicable to all kind of exotic nuclear and subnuclear decays are presented.
The induced nuclear and subnuclear decays are discussed. Moreover, using the
recent results on the spontaneous fission half lives T of the heavy nuclei with
Z new predictions on the pionic yields in the region of superheavy elements are
presented.
| nucl-th | in this paper new nuclear and subnuclear exotic decays are investigated some theoretical problems of the pionic radioactivity such as fissionlike models applicable to all kind of exotic nuclear and subnuclear decays are presented the induced nuclear and subnuclear decays are discussed moreover using the recent results on the spontaneous fission half lives t of the heavy nuclei with z new predictions on the pionic yields in the region of superheavy elements are presented | [['in', 'this', 'paper', 'new', 'nuclear', 'and', 'subnuclear', 'exotic', 'decays', 'are', 'investigated', 'some', 'theoretical', 'problems', 'of', 'the', 'pionic', 'radioactivity', 'such', 'as', 'fissionlike', 'models', 'applicable', 'to', 'all', 'kind', 'of', 'exotic', 'nuclear', 'and', 'subnuclear', 'decays', 'are', 'presented', 'the', 'induced', 'nuclear', 'and', 'subnuclear', 'decays', 'are', 'discussed', 'moreover', 'using', 'the', 'recent', 'results', 'on', 'the', 'spontaneous', 'fission', 'half', 'lives', 't', 'of', 'the', 'heavy', 'nuclei', 'with', 'z', 'new', 'predictions', 'on', 'the', 'pionic', 'yields', 'in', 'the', 'region', 'of', 'superheavy', 'elements', 'are', 'presented']] | [0.00407170521951205, 0.2745651331214184, -0.04624740467280955, 0.17145044933469664, -0.0025524760004938456, -0.08576697732850506, 0.010308443411328905, 0.32600194256047943, -0.19682809382651908, -0.23259691230801716, 0.028345236539010058, -0.34339494387795394, -0.01052425945857288, 0.20468715332901558, 0.04188297010881109, 0.06873247412511625, 0.02725244461986664, 0.07621360401547439, -0.07260706119642064, -0.21613764389090845, 0.33382544366995226, 0.047442779385459585, 0.18236690390276145, 0.13342936097870808, -0.0005696123037990686, -0.04625352141699074, -0.06687494355404901, -0.06563834755404575, -0.16203597927390523, 0.13249293381247568, 0.23194658870690202, 0.11187183440700676, 0.1479403719752775, -0.4437426597232351, -0.17974137211520527, 0.14919582875193776, 0.13798790824020635, 0.15052281630326164, -0.18482819792650942, -0.33393528022979563, 0.10028756898670532, -0.22208312489847476, -0.12931729523414695, -0.11646873912950223, -0.0025110327783418266, 0.08621549162057203, -0.2151003830084527, 0.0680806947481894, -0.03174831932788161, 0.015848954006828165, -0.07336882154482442, -0.30121069899886044, 0.018134776150455344, 0.0356533289572375, 0.1183540263037021, 0.006194604648830923, 0.21598849589055455, -0.1406225168391609, -0.11677842154922718, 0.4307189183813092, 0.030037546870172828, -0.07592262963235781, 0.18476934617737661, -0.18133956489681796, -0.19047727021766273, 0.1532575512128706, 0.19002438433518684, 0.1435707046404934, -0.13370265986619367, 0.10787012082968235, -0.013546358995340966, 0.09743789189166352, 0.006166760164715753, 0.11394148938534027, 0.16418748619538304, 0.25080084989501816, -0.08045051559000402, 0.0471545723864708, -0.09367724257596843, -0.12595324951375053, -0.4124480705406215, -0.10581921979885649, -0.07574468788870208, 0.038205783666312894, -0.00043967750644770677, -0.06372265491911487, 0.3605719975674072, 0.014168571101853976, 0.20687221366333197, -0.07667420381000517, 0.24550242233719374, 0.045109054613292114, 0.02466380734600731, 0.022819697114362103, 0.3016415952183338, 0.2278490776850565, 0.07289933614634178, -0.2628995238306202, 0.056084425567737406, 0.04128313528663303] |
710.0745 | Mixing Kohonen Algorithm, Markov Switching Model and Detection of
Multiple Change-Points: An Application to Monetary History | The present paper aims at locating the breakings of the integration process
of an international system observed during about 50 years in the 19th century.
A historical study could link them to special events, which operated as
exogenous shocks on this process. The indicator of integration used is the
spread between the highest and the lowest among the London, Hamburg and Paris
gold-silver prices. Three algorithms are combined to study this integration: a
periodization obtained with the SOM algorithm is confronted to the estimation
of a two-regime Markov switching model, in order to give an interpretation of
the changes of regime; in the same time change-points are identified over the
whole period providing a more precise interpretation of the various types of
regulation.
| q-fin.GN stat.AP | the present paper aims at locating the breakings of the integration process of an international system observed during about 50 years in the 19th century a historical study could link them to special events which operated as exogenous shocks on this process the indicator of integration used is the spread between the highest and the lowest among the london hamburg and paris goldsilver prices three algorithms are combined to study this integration a periodization obtained with the som algorithm is confronted to the estimation of a tworegime markov switching model in order to give an interpretation of the changes of regime in the same time changepoints are identified over the whole period providing a more precise interpretation of the various types of regulation | [['the', 'present', 'paper', 'aims', 'at', 'locating', 'the', 'breakings', 'of', 'the', 'integration', 'process', 'of', 'an', 'international', 'system', 'observed', 'during', 'about', '50', 'years', 'in', 'the', '19th', 'century', 'a', 'historical', 'study', 'could', 'link', 'them', 'to', 'special', 'events', 'which', 'operated', 'as', 'exogenous', 'shocks', 'on', 'this', 'process', 'the', 'indicator', 'of', 'integration', 'used', 'is', 'the', 'spread', 'between', 'the', 'highest', 'and', 'the', 'lowest', 'among', 'the', 'london', 'hamburg', 'and', 'paris', 'goldsilver', 'prices', 'three', 'algorithms', 'are', 'combined', 'to', 'study', 'this', 'integration', 'a', 'periodization', 'obtained', 'with', 'the', 'som', 'algorithm', 'is', 'confronted', 'to', 'the', 'estimation', 'of', 'a', 'tworegime', 'markov', 'switching', 'model', 'in', 'order', 'to', 'give', 'an', 'interpretation', 'of', 'the', 'changes', 'of', 'regime', 'in', 'the', 'same', 'time', 'changepoints', 'are', 'identified', 'over', 'the', 'whole', 'period', 'providing', 'a', 'more', 'precise', 'interpretation', 'of', 'the', 'various', 'types', 'of', 'regulation']] | [-0.13711699332977548, 0.0664220983429899, -0.0785074573657589, 0.08005901872445058, -0.062392646689119376, -0.07069799121529834, 0.0688007803135968, 0.36122306763398937, -0.2553907435470662, -0.33526420243447874, 0.14038226889101865, -0.26856361347538366, -0.11681358805456298, 0.21305316017478765, -0.055104202166866, 0.004362379480910495, 0.04333366236622953, 0.048274110417767635, -0.038765831699034546, -0.2626976384857018, 0.2437099943588662, 0.12707017594569825, 0.2797356715418277, -0.016330850620118038, 0.12512624897138497, 0.0035210369226742325, -0.0840798028059989, -0.03869916490142847, -0.10773422692455654, 0.14499534779694168, 0.2663946039650525, 0.11657951792278062, 0.30592228678183825, -0.402266508346893, -0.19420818267087261, 0.09887383978935034, 0.10429212963397849, 0.0741917912202804, 0.021244684408766187, -0.28832150468739065, 0.029307508337637032, -0.17669451740244782, -0.11582951244663417, -0.0031449731630538175, 0.03413045591848895, 0.017087553237845016, -0.23569846007882095, 0.033257980020319274, 0.0065001007775223356, 0.10134948408458291, -0.06902069219849943, -0.10216876137074143, -0.00358347509272124, 0.16803744467111623, 0.07466935289586417, 0.014001334400287247, 0.08611208817077332, -0.10897484668568383, -0.14468164497047542, 0.3705221126840367, -0.04282012371615151, -0.0861006104273767, 0.18930358636170264, -0.1496733865450795, -0.13015189452657128, 0.14459451786867092, 0.1954871970948165, 0.08254725967223446, -0.19347706201630152, 0.010522530356429638, 0.00611209869763352, 0.1408525938168168, 0.07693104021917514, -0.015833058500495868, 0.1994523685728389, 0.22389687439502498, 0.0351232898826673, 0.11234745212520163, -0.10973508455492442, -0.12149774448991549, -0.30280875722022077, -0.1637336059465883, -0.11683867678682251, 0.0011313391236088624, -0.06309930061731238, -0.14413384387527056, 0.408660098736182, 0.16032988676241489, 0.19887161329464337, 0.027561253798951402, 0.25489044328772925, 0.1362074608110058, 0.037583808293135464, 0.0349941319176488, 0.20749126581619, 0.09251316763627214, 0.1664017769612175, -0.1909695633240347, 0.12014015541389221, 0.048171446899073274] |
710.0746 | Universality and Scaling at the chiral transition in two-flavor QCD at
finite temperature | The order of the phase transition in finite-temperature QCD with two
degenerate light quarks is still an open problem and corresponds to the last
question mark in the zero-density phase diagram of QCD. We argue that
establishing the nature of the transition in this case is also a crucial test
for numerical simulations of lattice QCD, allowing precise estimates of
possible systematic errors related e.g. to the choice of fermion-simulation
algorithm or of discretized formulation for fermions.
| hep-lat | the order of the phase transition in finitetemperature qcd with two degenerate light quarks is still an open problem and corresponds to the last question mark in the zerodensity phase diagram of qcd we argue that establishing the nature of the transition in this case is also a crucial test for numerical simulations of lattice qcd allowing precise estimates of possible systematic errors related eg to the choice of fermionsimulation algorithm or of discretized formulation for fermions | [['the', 'order', 'of', 'the', 'phase', 'transition', 'in', 'finitetemperature', 'qcd', 'with', 'two', 'degenerate', 'light', 'quarks', 'is', 'still', 'an', 'open', 'problem', 'and', 'corresponds', 'to', 'the', 'last', 'question', 'mark', 'in', 'the', 'zerodensity', 'phase', 'diagram', 'of', 'qcd', 'we', 'argue', 'that', 'establishing', 'the', 'nature', 'of', 'the', 'transition', 'in', 'this', 'case', 'is', 'also', 'a', 'crucial', 'test', 'for', 'numerical', 'simulations', 'of', 'lattice', 'qcd', 'allowing', 'precise', 'estimates', 'of', 'possible', 'systematic', 'errors', 'related', 'eg', 'to', 'the', 'choice', 'of', 'fermionsimulation', 'algorithm', 'or', 'of', 'discretized', 'formulation', 'for', 'fermions']] | [-0.10969792308261324, 0.16755690732469175, -0.09845115805632974, 0.06922896768389221, -0.042912770712159966, -0.09698333051423297, 0.12247859504637554, 0.3573692593429434, -0.2249832963999851, -0.258006163750236, 0.10055528366233614, -0.26284409108522694, -0.1094968932601133, 0.13989580020394274, -0.012213791957612173, 0.10001569986343384, 0.046225909780907, 0.01619939387187754, -0.13068030531116834, -0.2462101050615801, 0.3378699066509542, 0.012867514393292367, 0.21733347563024022, 0.11863837139619711, 0.04711386792998957, -0.01404768298992789, -0.054004152758831254, -0.021283698090548187, -0.13398403414009263, 0.0673730542973652, 0.21518705526365298, 0.0157816260685458, 0.21485716125339663, -0.37448044704567446, -0.179139602843574, 0.11634602990173, 0.14958673798824557, 0.148355078765522, -0.03388282626034006, -0.2526586992439422, 0.05419291378041778, -0.12457848046171038, -0.1797743389064348, -0.08168811450320247, -0.031300000680953656, -0.060810118693074115, -0.2939762116699345, 0.09580227889933954, 0.02637508219892257, 0.020664199188008513, -0.02015285950007015, -0.10109587926662673, 0.022510166590540105, 0.13254599678667114, 0.057673224993969166, 0.09068365540894631, 0.03402225409119733, -0.18660491673998827, -0.12808709602349586, 0.48394209613386346, -0.008657830529907522, -0.1471608166160111, 0.15251283797337428, -0.14043141814487936, -0.15017179780835777, 0.13768420858602776, 0.14118862475611663, 0.11571175025126554, -0.13099209396903844, 0.08011944286791779, -0.035585121257003936, 0.1687045055487512, 0.026490448202055535, 0.020700053906215255, 0.23214475913463453, 0.21079228338050215, 0.03919925403438116, 0.1390532666547714, -0.03843160202163026, -0.173702504413086, -0.3523956853161125, -0.15595599116855546, -0.17247501297510767, 0.0284077640512566, -0.1090358920565019, -0.21949129177894638, 0.3802346171026951, 0.20697036490309983, 0.1713398390167736, -0.015574101934601603, 0.265014715725556, 0.12073632595619481, -0.021039126747238793, 0.030644890796362522, 0.2580848968354985, 0.16764939823923142, 0.09770721241243575, -0.2648451016407068, -0.003353844568329422, 0.12742824814172068] |
710.0747 | Calibration of the mirror system in the HERA-B RICH | The mirror system of the HERA-B RICH consists of two spherical and two planar
mirrors, composed of altogether 116 mirror segments. Analysis of displacements
of the \v{C}erenkov ring center relative to the charged particle track, for
given spherical-planar segment pairs, leads to accurate information regarding
the orientation of individual mirror segments. The method is described and the
effect of applying the required corrections on the \v{C}erenkov angle
resolution of the HERA-B RICH is discussed.
| physics.ins-det | the mirror system of the herab rich consists of two spherical and two planar mirrors composed of altogether 116 mirror segments analysis of displacements of the vcerenkov ring center relative to the charged particle track for given sphericalplanar segment pairs leads to accurate information regarding the orientation of individual mirror segments the method is described and the effect of applying the required corrections on the vcerenkov angle resolution of the herab rich is discussed | [['the', 'mirror', 'system', 'of', 'the', 'herab', 'rich', 'consists', 'of', 'two', 'spherical', 'and', 'two', 'planar', 'mirrors', 'composed', 'of', 'altogether', '116', 'mirror', 'segments', 'analysis', 'of', 'displacements', 'of', 'the', 'vcerenkov', 'ring', 'center', 'relative', 'to', 'the', 'charged', 'particle', 'track', 'for', 'given', 'sphericalplanar', 'segment', 'pairs', 'leads', 'to', 'accurate', 'information', 'regarding', 'the', 'orientation', 'of', 'individual', 'mirror', 'segments', 'the', 'method', 'is', 'described', 'and', 'the', 'effect', 'of', 'applying', 'the', 'required', 'corrections', 'on', 'the', 'vcerenkov', 'angle', 'resolution', 'of', 'the', 'herab', 'rich', 'is', 'discussed']] | [-0.13118770926208426, 0.10610488848122832, -0.06225007522391946, 0.038412056866497415, -0.029339472916334458, -0.12789983971503704, -0.024401727813449115, 0.35541818627755933, -0.22875890962473333, -0.3544779954707786, 0.058586116604290084, -0.3267604624852538, -0.04581882403716955, 0.18449760680820487, -0.055964953056377144, 0.029378527520249966, 0.06661253548801353, 0.025826414759998043, -0.06660432267411012, -0.16594597978090025, 0.3045963667180032, 0.07086426144695446, 0.31183275294630497, 0.022569004356963178, 0.16205983196882762, 0.0774382228152954, -0.066019041929394, 0.03906991878805095, -0.09524695447658839, 0.15816278032932993, 0.14772026089007315, 0.06062593654895278, 0.13268549141971625, -0.4122114877076182, -0.08310383435798017, 0.05284340486523682, 0.11992780720075108, 0.10673943700345412, -0.04602364386106548, -0.291752839135644, 0.06044568270221608, -0.1052052784258219, -0.22116301650155898, 0.01734361408456956, 0.00931200911992625, 0.05411581968735546, -0.22149308482567742, 0.02652208757114737, 0.06526562005127158, 0.044237356071602806, -0.015273767548983228, -0.09502012373669047, -0.031203385806093886, 0.1482921607907198, 0.02848670638663924, 0.006664719730806984, 0.1794906503278507, -0.11721254357021965, -0.07494646680783736, 0.39061968196948915, -0.01932659266797239, -0.16711896276484206, 0.16232856998398695, -0.15707437798049148, -0.06092416572907608, 0.22615226830215487, 0.15869677898614373, 0.1319106780120159, -0.10093072717626618, 0.017130373956492865, -0.020948426555587003, 0.1962524708488012, 0.11685882728189638, 5.963097696434962e-05, 0.27183483158276506, 0.18450320879482243, 0.02919088628131909, 0.1751930745548173, -0.17263809171798702, -0.09508091175597008, -0.3276885916823394, -0.14360442849602517, -0.13631067719718773, -0.029146959518771363, -0.06026813139690865, -0.14349687688869156, 0.4172272628989734, 0.05595303497800272, 0.19332484850557904, -0.041652012342102314, 0.2915744487043113, 0.01832540890788787, 0.0619903272145415, -0.033842129913503174, 0.2601444025664297, 0.1412292277976258, 0.05868166150550728, -0.27956780057706654, 0.005589019685779533, 0.07214013672408277] |
710.0748 | A Fast Heuristic Algorithm Based on Verification and Elimination Methods
for Maximum Clique Problem | A clique in an undirected graph G= (V, E) is a subset V' V of vertices, each
pair of which is connected by an edge in E. The clique problem is an
optimization problem of finding a clique of maximum size in graph. The clique
problem is NP-Complete. We have succeeded in developing a fast algorithm for
maximum clique problem by employing the method of verification and elimination.
For a graph of size N there are 2N sub graphs, which may be cliques and hence
verifying all of them, will take a long time. Idea is to eliminate a major
number of sub graphs, which cannot be cliques and verifying only the remaining
sub graphs. This heuristic algorithm runs in polynomial time and executes
successfully for several examples when applied to random graphs and DIMACS
benchmark graphs.
| cs.DM cs.CC | a clique in an undirected graph g v e is a subset v v of vertices each pair of which is connected by an edge in e the clique problem is an optimization problem of finding a clique of maximum size in graph the clique problem is npcomplete we have succeeded in developing a fast algorithm for maximum clique problem by employing the method of verification and elimination for a graph of size n there are 2n sub graphs which may be cliques and hence verifying all of them will take a long time idea is to eliminate a major number of sub graphs which cannot be cliques and verifying only the remaining sub graphs this heuristic algorithm runs in polynomial time and executes successfully for several examples when applied to random graphs and dimacs benchmark graphs | [['a', 'clique', 'in', 'an', 'undirected', 'graph', 'g', 'v', 'e', 'is', 'a', 'subset', 'v', 'v', 'of', 'vertices', 'each', 'pair', 'of', 'which', 'is', 'connected', 'by', 'an', 'edge', 'in', 'e', 'the', 'clique', 'problem', 'is', 'an', 'optimization', 'problem', 'of', 'finding', 'a', 'clique', 'of', 'maximum', 'size', 'in', 'graph', 'the', 'clique', 'problem', 'is', 'npcomplete', 'we', 'have', 'succeeded', 'in', 'developing', 'a', 'fast', 'algorithm', 'for', 'maximum', 'clique', 'problem', 'by', 'employing', 'the', 'method', 'of', 'verification', 'and', 'elimination', 'for', 'a', 'graph', 'of', 'size', 'n', 'there', 'are', '2n', 'sub', 'graphs', 'which', 'may', 'be', 'cliques', 'and', 'hence', 'verifying', 'all', 'of', 'them', 'will', 'take', 'a', 'long', 'time', 'idea', 'is', 'to', 'eliminate', 'a', 'major', 'number', 'of', 'sub', 'graphs', 'which', 'can', 'not', 'be', 'cliques', 'and', 'verifying', 'only', 'the', 'remaining', 'sub', 'graphs', 'this', 'heuristic', 'algorithm', 'runs', 'in', 'polynomial', 'time', 'and', 'executes', 'successfully', 'for', 'several', 'examples', 'when', 'applied', 'to', 'random', 'graphs', 'and', 'dimacs', 'benchmark', 'graphs']] | [-0.170916928531791, 0.08200641698488692, -0.04123212898021861, 0.0030357722037782273, -0.12826285318073316, -0.17571704588034123, 0.07691417145205365, 0.39901525135813415, -0.3091996224745568, -0.35309169025403325, 0.12476011362530803, -0.25860985597777786, -0.11388677433706766, 0.1464209223429308, -0.08200452481970137, 0.0666844901304854, 0.14314576430732143, 0.07922332501545062, 0.06332273833264691, -0.2913111420548639, 0.25253814669069496, -0.045367764440648585, 0.15998085535239373, 0.082678214950568, 0.07714272980524255, 0.01302624077104248, 0.005908046882815551, 0.12148950520254996, -0.09019648229645943, 0.056303140428929546, 0.3102121036027329, 0.22003201264348152, 0.3226586772479873, -0.4088877401571127, -0.1588847705920605, 0.2423178889000775, 0.1514937583849752, 0.09279137813955195, 0.04039111952769799, -0.21933466395484688, 0.15639578054844236, -0.1012462889910608, -0.04850173535068398, 0.011541541530818178, 0.13744009898948498, 0.0039533356312608375, -0.30200762297971634, -0.030209095130397844, 0.0913129199154513, -0.0036875103495718126, 0.08566546742298195, -0.15429713745075074, 0.012002629150326053, 0.0936868764028591, -0.07847632569146167, 0.06005404969218416, 0.04576602305008935, -0.12610990648407597, -0.2107485930732303, 0.37145562535759225, 0.0033054605524555063, -0.15344278383797602, 0.09040184759035491, -0.05119277048262133, -0.18544477923179342, 0.1349823896864267, 0.15223489919731367, 0.1934415660764806, -0.12792862731294008, 0.12571338908468455, -0.10689029179511768, 0.1477055638299688, 0.11253145271473551, -0.04208394312772198, 0.123304866370745, 0.1976316620669989, 0.1934256185271332, 0.17686063555858866, -0.014391099985400417, -0.0028611521567285495, -0.2531635679061646, -0.11071214823227754, -0.25116694693713437, -0.007032921758671865, -0.19910011704337524, -0.18595566509453498, 0.43911188641104143, 0.09247722078040513, 0.1936199158983494, 0.1066335177334174, 0.2530689801264932, 0.07701386304815179, 0.04163531885833304, 0.2007389671061242, 0.11392113037299419, 0.15509713991322432, -0.0009065313075763592, -0.17176667288067224, 0.07565382712324946, 0.11569794360548258] |
710.0749 | Observations of V838 Mon in the CO rotational lines | We investigate the structure of a field around the position of V838 Mon as
seen in the lowest CO rotational transitions. We also measure and analyse
emission in the same lines at the position of V838 Mon.Observations have
primarily been done in the CO J = 2-1 and J = 3-2 lines using the KOSMA
telescope. A field of 3.4 squared degrees has been mapped in the on-the-fly
mode in these transitions. Longer integration spectra in the on-off mode have
been obtained to study the emission at the position of V838 Mon. Selected
positions in the field have also been observed in the CO J = 1-0 transition
using the Delingha telescope.In the observed field we have identified many
molecular clouds. They can be divided into two groups from the point of view of
their observed radial velocities. One, having V(LSR) in the range 18-32 km/s,
can be identified with the Perseus Galactic arm. The other one, having V(LSR)
between 44-57 km/s, probably belongs to the Norma-Cygnus arm. The radial
velocity of V838 Mon is within the second range but the object does not seem to
be related to any of the observed clouds. We did not find any molecular buble
of a 1 degree dimension around the position of V838 Mon claimed in van Loon et
al. An emission has been detected at the position of the object in the CO J =
2-1 and J = 3-2 transitions. The emission is very narrow (FWHM ~ 1.2 km/s) and
at V(LSR) = 53.3 km/s. Our analysis of the data suggests that the emission is
probably extended.
| astro-ph | we investigate the structure of a field around the position of v838 mon as seen in the lowest co rotational transitions we also measure and analyse emission in the same lines at the position of v838 monobservations have primarily been done in the co j 21 and j 32 lines using the kosma telescope a field of 34 squared degrees has been mapped in the onthefly mode in these transitions longer integration spectra in the onoff mode have been obtained to study the emission at the position of v838 mon selected positions in the field have also been observed in the co j 10 transition using the delingha telescopein the observed field we have identified many molecular clouds they can be divided into two groups from the point of view of their observed radial velocities one having vlsr in the range 1832 kms can be identified with the perseus galactic arm the other one having vlsr between 4457 kms probably belongs to the normacygnus arm the radial velocity of v838 mon is within the second range but the object does not seem to be related to any of the observed clouds we did not find any molecular buble of a 1 degree dimension around the position of v838 mon claimed in van loon et al an emission has been detected at the position of the object in the co j 21 and j 32 transitions the emission is very narrow fwhm 12 kms and at vlsr 533 kms our analysis of the data suggests that the emission is probably extended | [['we', 'investigate', 'the', 'structure', 'of', 'a', 'field', 'around', 'the', 'position', 'of', 'v838', 'mon', 'as', 'seen', 'in', 'the', 'lowest', 'co', 'rotational', 'transitions', 'we', 'also', 'measure', 'and', 'analyse', 'emission', 'in', 'the', 'same', 'lines', 'at', 'the', 'position', 'of', 'v838', 'monobservations', 'have', 'primarily', 'been', 'done', 'in', 'the', 'co', 'j', '21', 'and', 'j', '32', 'lines', 'using', 'the', 'kosma', 'telescope', 'a', 'field', 'of', '34', 'squared', 'degrees', 'has', 'been', 'mapped', 'in', 'the', 'onthefly', 'mode', 'in', 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710.075 | Nuclear Tuning and Detuning of the Electron Spin Resonance in a Quantum
Dot | We study nuclear spin dynamics in a quantum dot close to the conditions of
electron spin resonance. We show that at small frequency mismatch the nuclear
field detunes the resonance. Remarkably, at larger frequency mismatch its
effect is opposite: The nuclear system is bistable, and in one of the stable
states the field accurately tunes the electron spin splitting to resonance. In
this state the nuclear field fluctuations are strongly suppressed and nuclear
spin relaxation is accelerated.
| cond-mat.mes-hall | we study nuclear spin dynamics in a quantum dot close to the conditions of electron spin resonance we show that at small frequency mismatch the nuclear field detunes the resonance remarkably at larger frequency mismatch its effect is opposite the nuclear system is bistable and in one of the stable states the field accurately tunes the electron spin splitting to resonance in this state the nuclear field fluctuations are strongly suppressed and nuclear spin relaxation is accelerated | [['we', 'study', 'nuclear', 'spin', 'dynamics', 'in', 'a', 'quantum', 'dot', 'close', 'to', 'the', 'conditions', 'of', 'electron', 'spin', 'resonance', 'we', 'show', 'that', 'at', 'small', 'frequency', 'mismatch', 'the', 'nuclear', 'field', 'detunes', 'the', 'resonance', 'remarkably', 'at', 'larger', 'frequency', 'mismatch', 'its', 'effect', 'is', 'opposite', 'the', 'nuclear', 'system', 'is', 'bistable', 'and', 'in', 'one', 'of', 'the', 'stable', 'states', 'the', 'field', 'accurately', 'tunes', 'the', 'electron', 'spin', 'splitting', 'to', 'resonance', 'in', 'this', 'state', 'the', 'nuclear', 'field', 'fluctuations', 'are', 'strongly', 'suppressed', 'and', 'nuclear', 'spin', 'relaxation', 'is', 'accelerated']] | [-0.15728090358777091, 0.27593443721423966, -0.050408377916878695, 0.10120661142765992, -0.006286042945024061, -0.11699262279533333, -0.03573186412248035, 0.36976193056091083, -0.29114376372573053, -0.24707720876223854, 0.035319658409042116, -0.2667052243449181, -0.04276927657328643, 0.17610629436305977, 0.05493710943582383, -0.011020074163823595, 0.0032563590529290113, 0.06393838563462259, -0.08609438738513545, -0.12023308061822258, 0.31818490654423637, 0.05688462562877201, 0.2763002872037665, 0.09459190095121695, 0.08544600734414605, 0.02423741940904844, 0.15885931588467453, -0.015554729824909916, -0.10153147994660448, 0.04556248536221562, 0.2482742263070707, -0.0561402454343322, 0.22984534550409813, -0.4347668430199484, -0.14101618333635005, 0.05684110694020599, 0.10905929499112263, 0.21547177680707597, -0.06406410580331628, -0.253046738370866, 0.019761529775312196, -0.167681708327168, -0.15739270654059462, -0.07223401127939487, 0.0060262069084935565, -0.011645746529223277, -0.2762145274258279, 0.1377180397825001, 0.07115999565991972, 0.01970681156237404, -0.08862881431531451, -0.10855214501422673, -0.0025693266168720537, 0.0716349330077601, 0.027769180670888585, 0.0846810570537028, 0.27841566519225136, -0.13212715622412596, -0.10775610452590438, 0.2998689765446251, -0.07943769798057711, -0.14606498285837763, 0.17443906496484557, -0.30718814153466134, -0.054868784811734767, 0.17506206374276767, 0.14268762145384953, 0.08813669958284923, -0.10084825089842371, 0.07489742756089461, 0.03295066079439281, 0.190949143019396, 0.015117947876985584, 0.06865039742370317, 0.24532598668298164, 0.18046568400020918, 0.0889750092060535, 0.11255127628630196, -0.16089203861820234, -0.1393621044789816, -0.20729314018186037, -0.08032469560283345, -0.22939864877466257, 0.06670070405710828, -0.027959614326533343, -0.09552244551770099, 0.47793626605061357, 0.10758102194152096, 0.1744891773522287, -0.12050366553465848, 0.28615411358897563, 0.15859199932159543, 0.07197478743173279, 0.05046817460762603, 0.32264214555745, 0.2283965555539766, 0.07237568671827192, -0.4567099679352159, 0.0043219469318335705, -0.0638565488474129] |
710.0751 | Leptonic secondary emission in a hadronic microquasar model | Context: It has been proposed that the origin of the very high-energy photons
emitted from high-mass X-ray binaries with jet-like features, so-called
microquasars (MQs), is related to hadronic interactions between relativistic
protons in the jet and cold protons of the stellar wind. Leptonic secondary
emission should be calculated in a complete hadronic model that include the
effects of pairs from charged pion decays inside the jets and the emission from
pairs generated by gamma-ray absorption in the photosphere of the system. Aims:
We aim at predicting the broadband spectrum from a general hadronic microquasar
model, taking into account the emission from secondaries created by charged
pion decay inside the jet. Methods: The particle energy distribution for
secondary leptons injected along the jets is consistently derived taking the
energy losses into account. We also compute the spectral energy distribution
resulting from these leptons is calculated after assuming different values of
the magnetic field inside the jets. The spectrum of the gamma-rays produced by
neutral pion-decay and processed by electromagnetic cascades under the stellar
photon field. Results: We show that the secondary emission can dominate the
spectral energy distribution at low energies (~1 MeV). At high energies, the
production spectrum can be significantly distorted by the effect of
electromagnetic cascades. These effects are phase-dependent, and some
variability modulated by the orbital period is predicted.
| astro-ph | context it has been proposed that the origin of the very highenergy photons emitted from highmass xray binaries with jetlike features socalled microquasars mqs is related to hadronic interactions between relativistic protons in the jet and cold protons of the stellar wind leptonic secondary emission should be calculated in a complete hadronic model that include the effects of pairs from charged pion decays inside the jets and the emission from pairs generated by gammaray absorption in the photosphere of the system aims we aim at predicting the broadband spectrum from a general hadronic microquasar model taking into account the emission from secondaries created by charged pion decay inside the jet methods the particle energy distribution for secondary leptons injected along the jets is consistently derived taking the energy losses into account we also compute the spectral energy distribution resulting from these leptons is calculated after assuming different values of the magnetic field inside the jets the spectrum of the gammarays produced by neutral piondecay and processed by electromagnetic cascades under the stellar photon field results we show that the secondary emission can dominate the spectral energy distribution at low energies 1 mev at high energies the production spectrum can be significantly distorted by the effect of electromagnetic cascades these effects are phasedependent and some variability modulated by the orbital period is predicted | [['context', 'it', 'has', 'been', 'proposed', 'that', 'the', 'origin', 'of', 'the', 'very', 'highenergy', 'photons', 'emitted', 'from', 'highmass', 'xray', 'binaries', 'with', 'jetlike', 'features', 'socalled', 'microquasars', 'mqs', 'is', 'related', 'to', 'hadronic', 'interactions', 'between', 'relativistic', 'protons', 'in', 'the', 'jet', 'and', 'cold', 'protons', 'of', 'the', 'stellar', 'wind', 'leptonic', 'secondary', 'emission', 'should', 'be', 'calculated', 'in', 'a', 'complete', 'hadronic', 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710.0752 | The Einstein-Yang-Mills equations from Bianchi identities | We suggest a novel extension to the Kaluza-Klein scheme that allows us to
obtain consistently all SU(n) Einstein-Yang-Mills theories. This construction
is based on allowing the five-dimensional spacetime to carry some non-vanishing
torsion; however, the four-dimensional spacetime remains intrinsically
torsion-free.
| gr-qc hep-th | we suggest a novel extension to the kaluzaklein scheme that allows us to obtain consistently all sun einsteinyangmills theories this construction is based on allowing the fivedimensional spacetime to carry some nonvanishing torsion however the fourdimensional spacetime remains intrinsically torsionfree | [['we', 'suggest', 'a', 'novel', 'extension', 'to', 'the', 'kaluzaklein', 'scheme', 'that', 'allows', 'us', 'to', 'obtain', 'consistently', 'all', 'sun', 'einsteinyangmills', 'theories', 'this', 'construction', 'is', 'based', 'on', 'allowing', 'the', 'fivedimensional', 'spacetime', 'to', 'carry', 'some', 'nonvanishing', 'torsion', 'however', 'the', 'fourdimensional', 'spacetime', 'remains', 'intrinsically', 'torsionfree']] | [-0.17867783622350544, 0.13326443985570222, -0.1339041447488853, 0.11071948995813727, -0.23304950239835306, -0.17162075195228682, -0.026744034979492425, 0.30430511478334665, -0.12723842579871417, -0.248271724418737, 0.06432144019054249, -0.18931281916484294, -0.16593429357744754, 0.14685471602715552, -0.13365122042014263, -0.01072091218084097, -0.02953125028871, 0.06091051881667227, -0.09888542014523409, -0.2682291681878269, 0.3774827723391354, 0.07343471218355262, 0.30885935090482236, 0.0246826535963919, 0.16172372011933475, -0.005885146360378712, -0.05629417379386723, 0.012136639468371868, -0.12802328203779326, 0.15361749973963015, 0.2381531032617204, 0.06656065330607816, 0.1291340123862028, -0.407089563482441, -0.26484986559298707, 0.12276895127724856, 0.19685762177687138, 0.21933604278601707, -0.029243734769988806, -0.27323305602185427, 0.09486923116928665, -0.2132263659965247, -0.1772310737753287, -0.16708955429494382, -0.03410009881481528, -0.19960160631744656, -0.23978810627450003, 0.043374897283501926, 0.023654865648131816, -0.04478563584852964, -0.10865785700880223, -0.02145205958513543, -0.02005537849618122, 0.07006452087080106, 0.13881990429363214, 0.04177573655033484, 0.09508103166008368, -0.013376751024043187, -0.15513863023370505, 0.38465196448378264, -0.07790667966473848, -0.2832207257859409, 0.19478255119756796, -0.17032464027870448, -0.170496835000813, 0.12782843327149748, 0.10302844701800495, 0.21231196192093194, -0.10267261259723455, 0.22012992862146347, -0.07737066306290216, 0.15671039346489124, 0.08449592613615095, 0.05877677161479369, 0.27231823820620776, 0.08261400673072786, 0.08179171366500668, 0.1173213368980214, -0.020296111429343, -0.10805967565393075, -0.39199448651634156, -0.17042536598237348, -0.04233735862944741, 0.14900025653187185, -0.140795611217618, -0.19451902736909688, 0.357041547281824, 0.1956315295305103, 0.13747741766273974, 0.10307084259111435, 0.22162928408943117, 0.009193477337248623, 0.07891904173884541, 0.10881371480645612, 0.25216908039656116, 0.19694113242439926, 0.047823706653434786, -0.20961542559089139, -0.1633407316869125, 0.19592259209603072] |
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