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710.2053 | Fokker-Planck Equation for Fractional Systems | The normalization condition, average values and reduced distribution
functions can be generalized by fractional integrals. The interpretation of the
fractional analog of phase space as a space with noninteger dimension is
discussed. A fractional (power) system is described by the fractional powers of
coordinates and momenta. These systems can be considered as non-Hamiltonian
systems in the usual phase space. The generalizations of the Bogoliubov
equations are derived from the Liouville equation for fractional (power)
systems. Using these equations, the corresponding Fokker-Planck equation is
obtained.
| cond-mat.stat-mech | the normalization condition average values and reduced distribution functions can be generalized by fractional integrals the interpretation of the fractional analog of phase space as a space with noninteger dimension is discussed a fractional power system is described by the fractional powers of coordinates and momenta these systems can be considered as nonhamiltonian systems in the usual phase space the generalizations of the bogoliubov equations are derived from the liouville equation for fractional power systems using these equations the corresponding fokkerplanck equation is obtained | [['the', 'normalization', 'condition', 'average', 'values', 'and', 'reduced', 'distribution', 'functions', 'can', 'be', 'generalized', 'by', 'fractional', 'integrals', 'the', 'interpretation', 'of', 'the', 'fractional', 'analog', 'of', 'phase', 'space', 'as', 'a', 'space', 'with', 'noninteger', 'dimension', 'is', 'discussed', 'a', 'fractional', 'power', 'system', 'is', 'described', 'by', 'the', 'fractional', 'powers', 'of', 'coordinates', 'and', 'momenta', 'these', 'systems', 'can', 'be', 'considered', 'as', 'nonhamiltonian', 'systems', 'in', 'the', 'usual', 'phase', 'space', 'the', 'generalizations', 'of', 'the', 'bogoliubov', 'equations', 'are', 'derived', 'from', 'the', 'liouville', 'equation', 'for', 'fractional', 'power', 'systems', 'using', 'these', 'equations', 'the', 'corresponding', 'fokkerplanck', 'equation', 'is', 'obtained']] | [-0.16257838705288513, 0.13884051023688654, -0.09339033040617194, 0.08770764483709909, -0.06472702893162412, -0.097841733135283, -0.029779406652475398, 0.2463552098072666, -0.3006393903023785, -0.2758276002658975, 0.1298217183752318, -0.26737202762714807, -0.14480025158818102, 0.2248682448851122, -0.04239376379354369, 0.1083982940917416, -0.0041642217852530024, 0.0138907173642933, -0.13871159868514432, -0.19590973456035413, 0.3603511244568619, -0.003863208468482342, 0.20340766768813842, -0.07821140953317463, 0.13854057064634703, -0.030789125391969548, -0.03024605570161449, 0.03742957579621967, -0.13389830122191815, 0.08075248623000723, 0.2124521618215589, 0.021858897367824932, 0.2245697668071703, -0.3814838076054695, -0.26309043797664344, 0.10695500390249349, 0.1505294263396146, 0.04601489637363037, 0.05510914090666033, -0.3245756035848033, 0.02493925741319323, -0.17102478116395928, -0.2134256814052129, -0.10901686967173148, 0.04795481189752796, 0.10092838451687601, -0.24790537841285445, 0.15299136153632953, 0.0515632998597409, -0.008880680493478264, -0.12077044857488502, -0.1678561737602909, -0.0645829793675581, 0.042905592801703495, -0.032941788336583636, -0.0006025282865656274, 0.06696271537137884, -0.12656527490998132, -0.14525700888286033, 0.40171165137352155, -0.061406823861900536, -0.33053735084831715, 0.0776382050923227, -0.16478196209728985, -0.06703884115198716, 0.13707818428520113, 0.12007463143007564, 0.11641404681306865, -0.16519141313619912, 0.1255915549548566, -0.00673087473980905, 0.1278273234964304, 0.06967688271487575, 0.07325639534697291, 0.14247301196502077, 0.08622508886314574, 0.06058853634056591, 0.15476626975716845, -0.014130175794846201, -0.16902663846710875, -0.3467815072453093, -0.18753241742074134, -0.22172707975620315, 0.07811641231888816, -0.1333903064448913, -0.09602514479220622, 0.32558339626328753, 0.08117105603395473, 0.15488000214099884, 0.041344634149157046, 0.25174963154963087, 0.3576001568303798, 0.03238023681166981, 0.030953504915703974, 0.15316575253382325, 0.18052567794941188, 0.1461966774382052, -0.2280678127537526, -0.016788046773789183, 0.17859622310303772] |
710.2054 | Non-gapped Fermi surfaces, quasiparticles and the anomalous temperature
dependence of the near-$E_F$ electronic states in the CMR oxide
La$_{2-2x}$Sr$_{1+2x}$Mn$_2$O$_7$ with $x=0.36$ | After years of research into colossal magnetoresistant (CMR) manganites using
bulk techniques, there has been a recent upsurge in experiments directly
probing the electronic states at or near the surface of the bilayer CMR
materials La$_{2-2x}$Sr$_{1+2x}$Mn$_2$O$_7$ using angle-resolved photoemission
or scanning probe microscopy. Here we report new, temperature dependent, angle
resolved photoemission data from single crystals with a doping level of
$x=0.36$. The first important result is that there is no sign of a pseudogap in
the charge channel of this material for temperatures below the Curie
temperature $T_C$. The second important result concerns the temperature
dependence of the electronic states. The temperature dependent changes in the
Fermi surface spectra both at the zone face and zone diagonal regions in
$k$-space indicate that the coherent quasiparticle weight disappears for
temperatures significantly above $T_C$, and that the $k$-dependence of the
T-induced changes in the spectra invalidate an interpretation of these data in
terms of the superposition of a `universal' metallic spectrum and an insulating
spectrum whose relative weight changes with temperature. In this sense, our
data are not compatible with a phase separation scenario.
| cond-mat.str-el | after years of research into colossal magnetoresistant cmr manganites using bulk techniques there has been a recent upsurge in experiments directly probing the electronic states at or near the surface of the bilayer cmr materials la_22xsr_12xmn_2o_7 using angleresolved photoemission or scanning probe microscopy here we report new temperature dependent angle resolved photoemission data from single crystals with a doping level of x036 the first important result is that there is no sign of a pseudogap in the charge channel of this material for temperatures below the curie temperature t_c the second important result concerns the temperature dependence of the electronic states the temperature dependent changes in the fermi surface spectra both at the zone face and zone diagonal regions in kspace indicate that the coherent quasiparticle weight disappears for temperatures significantly above t_c and that the kdependence of the tinduced changes in the spectra invalidate an interpretation of these data in terms of the superposition of a universal metallic spectrum and an insulating spectrum whose relative weight changes with temperature in this sense our data are not compatible with a phase separation scenario | [['after', 'years', 'of', 'research', 'into', 'colossal', 'magnetoresistant', 'cmr', 'manganites', 'using', 'bulk', 'techniques', 'there', 'has', 'been', 'a', 'recent', 'upsurge', 'in', 'experiments', 'directly', 'probing', 'the', 'electronic', 'states', 'at', 'or', 'near', 'the', 'surface', 'of', 'the', 'bilayer', 'cmr', 'materials', 'la_22xsr_12xmn_2o_7', 'using', 'angleresolved', 'photoemission', 'or', 'scanning', 'probe', 'microscopy', 'here', 'we', 'report', 'new', 'temperature', 'dependent', 'angle', 'resolved', 'photoemission', 'data', 'from', 'single', 'crystals', 'with', 'a', 'doping', 'level', 'of', 'x036', 'the', 'first', 'important', 'result', 'is', 'that', 'there', 'is', 'no', 'sign', 'of', 'a', 'pseudogap', 'in', 'the', 'charge', 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710.2055 | Anatomy of nuclear matrix elements for neutrinoless double-beta decay | We show that, within the Quasiparticle Random Phase Approximation (QRPA) and
the renormalized QRPA (RQRPA) based on the Bonn CD nucleon-nucleon interaction,
the competition between the pairing and the neutron-proton particle-particle
and particle-hole interactions causes contributions to the neutrinoless
double-beta decay matrix element to nearly vanish at internucleon distances of
more than 2 or 3 fermis. As a result, the matrix element is more sensitive to
short-range/high-momentum physics than one naively expects. We analyze various
ways of treating that physics and quantify the uncertainty it produces in the
matrix elements, with three different treatments of short-range correlations.
| nucl-th | we show that within the quasiparticle random phase approximation qrpa and the renormalized qrpa rqrpa based on the bonn cd nucleonnucleon interaction the competition between the pairing and the neutronproton particleparticle and particlehole interactions causes contributions to the neutrinoless doublebeta decay matrix element to nearly vanish at internucleon distances of more than 2 or 3 fermis as a result the matrix element is more sensitive to shortrangehighmomentum physics than one naively expects we analyze various ways of treating that physics and quantify the uncertainty it produces in the matrix elements with three different treatments of shortrange correlations | [['we', 'show', 'that', 'within', 'the', 'quasiparticle', 'random', 'phase', 'approximation', 'qrpa', 'and', 'the', 'renormalized', 'qrpa', 'rqrpa', 'based', 'on', 'the', 'bonn', 'cd', 'nucleonnucleon', 'interaction', 'the', 'competition', 'between', 'the', 'pairing', 'and', 'the', 'neutronproton', 'particleparticle', 'and', 'particlehole', 'interactions', 'causes', 'contributions', 'to', 'the', 'neutrinoless', 'doublebeta', 'decay', 'matrix', 'element', 'to', 'nearly', 'vanish', 'at', 'internucleon', 'distances', 'of', 'more', 'than', '2', 'or', '3', 'fermis', 'as', 'a', 'result', 'the', 'matrix', 'element', 'is', 'more', 'sensitive', 'to', 'shortrangehighmomentum', 'physics', 'than', 'one', 'naively', 'expects', 'we', 'analyze', 'various', 'ways', 'of', 'treating', 'that', 'physics', 'and', 'quantify', 'the', 'uncertainty', 'it', 'produces', 'in', 'the', 'matrix', 'elements', 'with', 'three', 'different', 'treatments', 'of', 'shortrange', 'correlations']] | [-0.07407834726473084, 0.21058575741092986, -0.10549100285485717, 0.1578989869922225, 0.0009916890170037125, -0.14044403967272956, 0.04719738448087204, 0.32824466174618766, -0.23182636642983803, -0.23740539551363327, -0.062039042360993335, -0.38095620544239256, -0.11599290574425443, 0.10251471269051156, 0.1070891669927126, -0.019643773082255695, 0.03155803975096205, 0.012726990564260632, -0.16598601249279454, -0.2069883387060448, 0.32917015226454777, 0.039466320148979626, 0.23762001595847929, 0.10165525055102383, 0.008193261091946624, 0.08595767095782018, -0.02188429237382176, -0.0579274730165101, -0.06525102187470111, 0.07150367114081746, 0.26751690741184575, 0.020708757418712292, 0.22060231869788063, -0.44978650626338396, -0.15129368154642484, 0.1237193426398638, 0.13288680335244862, 0.1670837517497906, -0.010471812472739353, -0.2988465425538986, 0.03869985800702125, -0.26966744019106653, -0.11227203156643857, -0.08942523963317701, 0.017263925886557747, -0.009560933763471743, -0.30627523923370364, 0.09638901891109224, 0.002750651639265319, -0.004497800420116012, -0.023462233851508547, -0.24343200717218375, 0.06483742330480406, 0.09977557353704469, 0.10941688961611362, 0.03835163540982952, 0.15414096099751382, -0.10331722672223502, -0.046393349718224876, 0.44908427736178663, -0.033390320067762026, -0.15484778223617468, 0.16086416045679167, -0.15504838329555545, -0.05626104183223409, 0.1254427859991362, 0.13249430684178756, 0.036096216378609824, -0.16383546068876362, 0.0633962195982652, 0.03503162423051739, 0.20622134815009, 0.02819756214012159, 0.05891918972095785, 0.11560273872843634, 0.15765885685201889, 0.06671937420226944, 0.016251901334423263, -0.123488621803214, -0.15875785955480146, -0.3331482185458299, -0.05909248358996896, -0.18815786950775268, 0.013981491761417905, -0.09667699155822145, -0.16662539913280247, 0.40357212496261735, 0.14439888483805893, 0.1464036525285337, 0.008028446628789728, 0.2649588984010431, 0.07528587383543102, 0.1072601430217522, 0.022622673689814594, 0.3040864506134919, 0.20027325135985544, 0.02210372736832748, -0.29620991116098594, 0.06868971843990342, 0.13046452783843657] |
710.2056 | Rotating Radio Transients: X-ray observations | Rotating Radio Transients (RRATs) are a new class of neutron stars discovered
through the emission of radio bursts. Eleven sources are known up to now, but
population studies predict these objects to be more numerous than the normal
radio pulsar population. Multiwavelength observations of these peculiar objects
are in progress to disentangle their spectral energy distribution, and then
study in detail their nature. In this review I report on the current state of
the art on these objects, and in particular on the results of new X-ray
observations.
| astro-ph | rotating radio transients rrats are a new class of neutron stars discovered through the emission of radio bursts eleven sources are known up to now but population studies predict these objects to be more numerous than the normal radio pulsar population multiwavelength observations of these peculiar objects are in progress to disentangle their spectral energy distribution and then study in detail their nature in this review i report on the current state of the art on these objects and in particular on the results of new xray observations | [['rotating', 'radio', 'transients', 'rrats', 'are', 'a', 'new', 'class', 'of', 'neutron', 'stars', 'discovered', 'through', 'the', 'emission', 'of', 'radio', 'bursts', 'eleven', 'sources', 'are', 'known', 'up', 'to', 'now', 'but', 'population', 'studies', 'predict', 'these', 'objects', 'to', 'be', 'more', 'numerous', 'than', 'the', 'normal', 'radio', 'pulsar', 'population', 'multiwavelength', 'observations', 'of', 'these', 'peculiar', 'objects', 'are', 'in', 'progress', 'to', 'disentangle', 'their', 'spectral', 'energy', 'distribution', 'and', 'then', 'study', 'in', 'detail', 'their', 'nature', 'in', 'this', 'review', 'i', 'report', 'on', 'the', 'current', 'state', 'of', 'the', 'art', 'on', 'these', 'objects', 'and', 'in', 'particular', 'on', 'the', 'results', 'of', 'new', 'xray', 'observations']] | [-0.059832146752424625, 0.1239093019341288, -0.039020271056374026, 0.11531502497779332, -0.1681071972178126, -0.050560327791820535, 0.0755144096487625, 0.4596696093847806, -0.18465371497652747, -0.3530673165699806, 0.12432684733754616, -0.3024106881877577, -0.07444935702634128, 0.27305495514619077, -0.03737278594847091, -0.03407599287509749, 0.08713741474573246, -0.05579749911769547, -0.043541333341801707, -0.2344785579372745, 0.32144176475015807, 0.047150264856596055, 0.21275715466419404, -0.0687903468946884, 0.033455411646917295, -0.1295954067476983, -0.11568548136644742, -0.027557849464673465, -0.1005123183131218, 0.11163539430973204, 0.24770544034386563, 0.1635151148022322, 0.17293570232037714, -0.42118038270961156, -0.2547005990901115, 0.06738714880272957, 0.15146038705742368, 0.06344085123220627, -0.054043742925469734, -0.31592951380563056, 0.0914448784050447, -0.19110867608634924, -0.1653043626416051, -0.025131202413996852, 0.05093892672712999, 0.10832814321673306, -0.10636737765426832, 0.06071611970731861, 0.019278693897914225, 0.04953934347511015, -0.12677117525229484, -0.10424698877481701, 0.04414962337415835, 0.09756435620048168, 0.07679581799179273, 0.012179173055549407, 0.1049383983438681, -0.19808408957958984, -0.14282586727693508, 0.3560014658776874, -0.00034506146783480125, -0.03665567288143476, 0.25452218535462057, -0.24744563461916352, -0.24203885749342258, 0.1281589630102231, 0.20593523580199954, 0.17207792010793294, -0.2016158169770444, -0.045767364998358644, -0.02557371619199826, 0.1623604311475488, 0.007376397859347476, 0.13616598599632693, 0.3245897188740359, 0.13984194424847374, -0.01357619716277854, 0.12186431840448429, -0.2251789839964741, -0.030424328563226896, -0.2323226287103766, -0.09221983695699071, -0.1423984781405042, 0.10973493970761244, -0.029840960336349035, -0.13934421645734058, 0.43353837804170325, 0.12056337506510317, 0.15049113888843832, 0.030232680728659034, 0.2603120516075499, 0.06259984597140415, 0.0421137225930579, 0.10569809459213336, 0.3260347334752706, 0.14802952487529678, 0.10359426333822987, -0.1878897517506795, 0.057295104081276804, -0.06167242494881397] |
710.2057 | Optical saturation driven by exciton confinement in molecular-chains: a
TDDFT study | We have identified excitonic confinement in one-dimensional molecular chains
(i.e. polyacetylene and H$_2$) as the main driving force for the saturation of
the chain polarizability as a function of the number of molecular units. This
conclusion is based on first principles time--dependent density functional
theory calculations performed with a new derived exchange--correlation kernel.
The failure of simple local and semi--local functionals is shown to be related
to the lack of memory effects, spatial ultranonlocality, and self--interaction
corrections. These effects get smaller as the gap of the system reduces, in
which case such simple approximations do perform better.
| cond-mat.mtrl-sci | we have identified excitonic confinement in onedimensional molecular chains ie polyacetylene and h_2 as the main driving force for the saturation of the chain polarizability as a function of the number of molecular units this conclusion is based on first principles timedependent density functional theory calculations performed with a new derived exchangecorrelation kernel the failure of simple local and semilocal functionals is shown to be related to the lack of memory effects spatial ultranonlocality and selfinteraction corrections these effects get smaller as the gap of the system reduces in which case such simple approximations do perform better | [['we', 'have', 'identified', 'excitonic', 'confinement', 'in', 'onedimensional', 'molecular', 'chains', 'ie', 'polyacetylene', 'and', 'h_2', 'as', 'the', 'main', 'driving', 'force', 'for', 'the', 'saturation', 'of', 'the', 'chain', 'polarizability', 'as', 'a', 'function', 'of', 'the', 'number', 'of', 'molecular', 'units', 'this', 'conclusion', 'is', 'based', 'on', 'first', 'principles', 'timedependent', 'density', 'functional', 'theory', 'calculations', 'performed', 'with', 'a', 'new', 'derived', 'exchangecorrelation', 'kernel', 'the', 'failure', 'of', 'simple', 'local', 'and', 'semilocal', 'functionals', 'is', 'shown', 'to', 'be', 'related', 'to', 'the', 'lack', 'of', 'memory', 'effects', 'spatial', 'ultranonlocality', 'and', 'selfinteraction', 'corrections', 'these', 'effects', 'get', 'smaller', 'as', 'the', 'gap', 'of', 'the', 'system', 'reduces', 'in', 'which', 'case', 'such', 'simple', 'approximations', 'do', 'perform', 'better']] | [-0.10274494387037218, 0.0727627775061895, -0.08839886162119608, 0.1058437843566935, -0.0052953138171384735, -0.09902326198061928, 0.03159801182846422, 0.3634555733200007, -0.26005633695361513, -0.2977007583055335, 0.030157772622866712, -0.2532696701431026, -0.1426677085304012, 0.14460396085511698, 0.019360585896113964, 0.06407450178630825, 0.014955007754906546, 0.018435760292049963, -0.07222206682975714, -0.20062801869547306, 0.2892971361895131, 0.06929699124399728, 0.2522303606965579, 0.1095525563529615, 0.03777650464326143, -0.00016368619738689935, 0.021752186705271015, 0.02981529072470342, -0.14112382027087733, 0.12905338683049195, 0.19841701942884052, -0.00031149022227812867, 0.2907446150687368, -0.5089266682431722, -0.2515028867237561, 0.05971898070189733, 0.1212711494784647, 0.14521972730653943, -0.012105140154744731, -0.24638410914485576, 0.07113229202028985, -0.20254823501454666, -0.12438114200873922, -0.12446154886371612, 0.00918789193383418, 0.09086780816990843, -0.25241086090682074, 0.13021886810505143, 0.034193345200037584, 0.041462781074415034, -0.06620655128790531, -0.14788980679319744, -0.024508380714299467, 0.11090464333149914, 0.04107936283980962, 0.04072784087232625, 0.17977556398060793, -0.11718298238944651, -0.0893730691653521, 0.40781174999816966, -0.07807116893673083, -0.2042216245730136, 0.19559652131283656, -0.11040340828670499, -0.14601497189626875, 0.11564349677064456, 0.11913204079125232, 0.10641219305883472, -0.1383444622818691, 0.08606594201955886, 0.013698089283328349, 0.1764485801659248, 0.018412967958890174, 0.07608537771739066, 0.1566736598033458, 0.16279442355638216, 0.07121745888434816, 0.11769307452171536, -0.08319290976821019, -0.12627363147233459, -0.2995405075974607, -0.1391155424838265, -0.22335814510491522, 0.04838889662642032, -0.06563723465130049, -0.21307271419057847, 0.3575826997475815, 0.12505635049305397, 0.1622593600914115, 0.031557595833874075, 0.27855668310076, 0.17117455969976922, 0.10480521315912483, 0.014094928910102075, 0.21796640526069191, 0.17071698211414818, 0.03323519429007623, -0.2595061702595558, 0.04712021069523568, 0.06964717864563379] |
710.2058 | Non-universal gaugino masses and implications on the dark matter and
Higgs searches | Non-universal boundary conditions in grand unified theories can lead to
non-universal gaugino masses at the unification scale. In R-parity preserving
theories the lightest supersymmetric particle is a natural candidate for the
dark matter. We have studied the composition of the lightest neutralino in
non-universal gaugino mass cases from the SU(5), and implications on the dark
matter. In the representations of SU(5) thermal relic density agreeing with
WMAP is found. The possibility to observe the neutral MSSM Higgs bosons (h/H/A)
at the LHC via neutralino cascades when the lightest neutralino is dark matter,
is discussed for the representation 24, and the connection to dark matter is
established.
| hep-ph | nonuniversal boundary conditions in grand unified theories can lead to nonuniversal gaugino masses at the unification scale in rparity preserving theories the lightest supersymmetric particle is a natural candidate for the dark matter we have studied the composition of the lightest neutralino in nonuniversal gaugino mass cases from the su5 and implications on the dark matter in the representations of su5 thermal relic density agreeing with wmap is found the possibility to observe the neutral mssm higgs bosons hha at the lhc via neutralino cascades when the lightest neutralino is dark matter is discussed for the representation 24 and the connection to dark matter is established | [['nonuniversal', 'boundary', 'conditions', 'in', 'grand', 'unified', 'theories', 'can', 'lead', 'to', 'nonuniversal', 'gaugino', 'masses', 'at', 'the', 'unification', 'scale', 'in', 'rparity', 'preserving', 'theories', 'the', 'lightest', 'supersymmetric', 'particle', 'is', 'a', 'natural', 'candidate', 'for', 'the', 'dark', 'matter', 'we', 'have', 'studied', 'the', 'composition', 'of', 'the', 'lightest', 'neutralino', 'in', 'nonuniversal', 'gaugino', 'mass', 'cases', 'from', 'the', 'su5', 'and', 'implications', 'on', 'the', 'dark', 'matter', 'in', 'the', 'representations', 'of', 'su5', 'thermal', 'relic', 'density', 'agreeing', 'with', 'wmap', 'is', 'found', 'the', 'possibility', 'to', 'observe', 'the', 'neutral', 'mssm', 'higgs', 'bosons', 'hha', 'at', 'the', 'lhc', 'via', 'neutralino', 'cascades', 'when', 'the', 'lightest', 'neutralino', 'is', 'dark', 'matter', 'is', 'discussed', 'for', 'the', 'representation', '24', 'and', 'the', 'connection', 'to', 'dark', 'matter', 'is', 'established']] | [-0.09832180220247158, 0.30949645036972073, -0.08295196108080728, 0.26529409367490103, -0.09730777524648902, -0.16741178913771193, -0.02661541085419814, 0.29854508139465424, -0.17350408886471447, -0.3515321616575403, -0.005768171808120074, -0.24083538213305455, 0.03764210191537749, 0.08202286272854456, 0.019648216298522148, 0.07380588788468882, -0.039294819398080265, 0.021559301289325615, -0.061460932277424156, -0.286560508842088, 0.2972905238528015, 0.017377440422281343, 0.1780354638390665, 0.11056231435405899, 0.025595225437702436, -0.09208133258145162, -0.00538374780114951, -0.18484801510754242, -0.1475648245124041, 0.057405548965347546, 0.19176589318920137, 0.04032583247852635, 0.0676701549541662, -0.3376111575558272, -0.1864645161648404, 0.2514315576705519, 0.15670618985972876, 0.05745099875900262, -0.11498402133430266, -0.3601857911408791, 0.10782595171224114, -0.25645419455326673, -0.08645217514702312, -0.025230748318618972, -0.06768872437752643, -0.19777224045949723, -0.3070611285643195, 0.16245835382087193, -0.14364287026121086, -0.06340779331682979, -0.04067237580300502, -0.1737022017774541, -0.13856927360812166, -0.07630943641465218, 0.23413613592142696, -0.07603846684555118, 0.27311468186331384, -0.2922209145837323, -0.12396877250229975, 0.4774388725834213, -0.12844991636515227, -0.14992215282081645, 0.20343978908615853, -0.12818773650291884, -0.21560259685711056, 0.11938723629199953, 0.11735294855920211, 0.052162076618944134, -0.1369503488362479, 0.2884638142181156, -0.1125096235696648, 0.18457572831319785, 0.07129699724533085, 0.04511304223417954, 0.4191951302741215, 0.244372234247045, 0.10722462955603095, 0.022077779789710032, -0.013872940225069815, -0.10965858686293634, -0.4553390910216379, -0.12615248036377555, -0.07473273386625257, -0.022194564480330126, -0.08336553541599676, -0.07297799438413866, 0.3920678375376705, 0.10277647374391134, 0.2499725915368576, 0.05441475707932182, 0.2781720902718041, 0.046464642465887766, 0.08002020499036419, -0.012663178290855491, 0.34333716322369173, 0.15947463923081193, 0.12445633544889718, -0.23717603186927386, -0.10179540527246471, 0.11081181858437804] |
710.2059 | Covariance, Dynamics and Symmetries, and Hadron Form Factors | We summarise applications of Dyson-Schwinger equations to the theory and
phenomenology of hadrons. Some exact results for pseudoscalar mesons are
highlighted with details relating to the U_A(1) problem. We describe inferences
from the gap equation relating to the radius of convergence for expansions of
observables in the current-quark mass. We recapitulate upon studies of nucleon
electromagnetic form factors, providing a comparison of the ln-weighted ratios
of Pauli and Dirac form factors for the neutron and proton.
| nucl-th hep-lat hep-ph nucl-ex | we summarise applications of dysonschwinger equations to the theory and phenomenology of hadrons some exact results for pseudoscalar mesons are highlighted with details relating to the u_a1 problem we describe inferences from the gap equation relating to the radius of convergence for expansions of observables in the currentquark mass we recapitulate upon studies of nucleon electromagnetic form factors providing a comparison of the lnweighted ratios of pauli and dirac form factors for the neutron and proton | [['we', 'summarise', 'applications', 'of', 'dysonschwinger', 'equations', 'to', 'the', 'theory', 'and', 'phenomenology', 'of', 'hadrons', 'some', 'exact', 'results', 'for', 'pseudoscalar', 'mesons', 'are', 'highlighted', 'with', 'details', 'relating', 'to', 'the', 'u_a1', 'problem', 'we', 'describe', 'inferences', 'from', 'the', 'gap', 'equation', 'relating', 'to', 'the', 'radius', 'of', 'convergence', 'for', 'expansions', 'of', 'observables', 'in', 'the', 'currentquark', 'mass', 'we', 'recapitulate', 'upon', 'studies', 'of', 'nucleon', 'electromagnetic', 'form', 'factors', 'providing', 'a', 'comparison', 'of', 'the', 'lnweighted', 'ratios', 'of', 'pauli', 'and', 'dirac', 'form', 'factors', 'for', 'the', 'neutron', 'and', 'proton']] | [-0.1034665606978039, 0.164043829026632, -0.09942451829711596, 0.1248720903073748, -0.10761070514718692, -0.02873790288809687, 0.06900229979616901, 0.3076460756113132, -0.16750898975878953, -0.25517229075854025, 0.010404307952461143, -0.3408387390524149, -0.08495979696512222, 0.1529673336694638, 0.0383902911717693, 0.08828783965203911, 0.050072340137946106, 0.033593302937224505, -0.16116111811250447, -0.18471185027156026, 0.38538541544849675, 0.01649031730989615, 0.19186101163427036, 0.15701670673986276, 0.06252413414418698, -0.00283197055493171, -0.03980520012478034, -0.03556119309117397, -0.1822793611806507, 0.1116024319563682, 0.237892511288325, 0.12483345073647797, 0.15592263410488763, -0.41610496488710247, -0.1438146154489368, 0.04050457631548246, 0.15250373452901841, 0.13807249184387427, -0.048961395397782326, -0.2951777980104089, 0.07437031841060768, -0.1875619968523582, -0.2028532681738337, -0.15096758969128132, -0.015344048030674457, 0.04127981867906783, -0.2774799893361827, 0.10628223807628577, -0.013184655743340651, 0.014860209623972574, -0.11641526097121338, -0.2458236597975095, 0.06157773348192374, 0.09731451380221794, 0.17506219195512435, 0.008305942037453254, 0.13748814045762023, -0.23328996228675047, -0.09324872968097528, 0.42310286073635023, -0.011958783889810243, -0.198813788741827, 0.09085242302467425, -0.16829624495158593, -0.16006401661783456, 0.07659002399692932, 0.1797315648322304, 0.07126770264779528, -0.18228330134103696, 0.10013082584754253, -0.046471602418459955, 0.12742865464339653, 0.1043687450947861, 0.09063413536796967, 0.1861824501429995, 0.15223170191049576, -0.04948885593563318, 0.06153942960314453, -0.0038633645496641594, -0.10431119305702548, -0.3546724606739978, -0.12692144811619074, -0.09496232064751288, 0.07862943048278491, -0.11836084129987284, -0.11987060956113661, 0.40749711815888684, 0.13172473857489725, 0.2091537479311228, 0.017921606178085008, 0.2488904411966602, 0.13833577264100314, 0.03926587010423342, 0.05032251942902803, 0.25097449010432077, 0.2832374181598425, 0.1171073495472471, -0.3058515201850484, -0.013349818792194127, 0.11245115743329127] |
710.206 | Polariton laser using single micropillar GaAs-GaAlAs semiconductor
cavities | Polariton lasing is demonstrated on the zero dimensional states of single
GaAs/GaAlAs micropillar cavities. Under non resonant excitation, the measured
polariton ground state occupancy is found to be as large as $10^{4}$. Changing
the spatial excitation conditions, competition between several polariton lasing
modes is observed, ruling out Bose-Einstein condensation. When the polariton
state occupancy increases, the emission blueshift is the signature of
self-interaction within the half-light half-matter polariton lasing mode.
| cond-mat.mtrl-sci | polariton lasing is demonstrated on the zero dimensional states of single gaasgaalas micropillar cavities under non resonant excitation the measured polariton ground state occupancy is found to be as large as 104 changing the spatial excitation conditions competition between several polariton lasing modes is observed ruling out boseeinstein condensation when the polariton state occupancy increases the emission blueshift is the signature of selfinteraction within the halflight halfmatter polariton lasing mode | [['polariton', 'lasing', 'is', 'demonstrated', 'on', 'the', 'zero', 'dimensional', 'states', 'of', 'single', 'gaasgaalas', 'micropillar', 'cavities', 'under', 'non', 'resonant', 'excitation', 'the', 'measured', 'polariton', 'ground', 'state', 'occupancy', 'is', 'found', 'to', 'be', 'as', 'large', 'as', '104', 'changing', 'the', 'spatial', 'excitation', 'conditions', 'competition', 'between', 'several', 'polariton', 'lasing', 'modes', 'is', 'observed', 'ruling', 'out', 'boseeinstein', 'condensation', 'when', 'the', 'polariton', 'state', 'occupancy', 'increases', 'the', 'emission', 'blueshift', 'is', 'the', 'signature', 'of', 'selfinteraction', 'within', 'the', 'halflight', 'halfmatter', 'polariton', 'lasing', 'mode']] | [-0.14445566900872758, 0.29365620355986594, -0.03980076524562069, 0.03642931511359555, 0.01625160071000989, -0.16928558010341865, 0.06283647121329393, 0.4201669840541269, -0.16374893239034075, -0.24946343377232552, -0.03381041440713618, -0.29875625510300907, -0.011727579882634537, 0.17903751412273516, 0.06052051572894145, 0.04477746775789585, 0.0185574537575511, -0.02756690080277622, 0.057154412886926104, -0.1629462734929153, 0.29284281031494697, 0.013401180436734909, 0.41097088666366677, 0.12232048405982954, 0.07730013149391328, -0.0549131855035999, 0.17958655386630978, -0.09483592265418597, -0.11858876041535821, -0.0534512290240465, 0.2657548251960959, -0.055975989752914755, 0.2529250592525516, -0.37981488835066557, -0.23032139475856508, 0.044870992776538644, 0.21798584537048424, 0.18906167559325696, -0.03201609285814422, -0.3638324076176754, -0.06558770684724939, -0.1073469175424959, -0.15518236067146063, -0.03850180897861719, -0.0017755143876586642, -0.07042655247662749, -0.2238324020590101, 0.09011453915653485, 0.0288876110405129, 0.07793932500561433, -0.07214629679386104, -0.05213389333803207, -0.15845852479272124, 0.00777108963853347, -0.03508801290632359, -0.026064361478867277, 0.23695813116750547, -0.11963711969157365, -0.0975729032619191, 0.3506025409009973, -0.15554247173214597, -0.07678171122180565, 0.1995101041992062, -0.2019085447969181, 0.06320394577716278, 0.24684914840119226, 0.1225016152877028, 0.05996294204544808, -0.050828479134984915, -0.011171004176139832, -0.030843368531869992, 0.2415985867647188, 0.17038864145121937, 0.1776868495025805, 0.292286317050457, 0.2230572840124036, 0.04992464259266853, 0.18731084560110633, -0.1380997859440478, -0.11429536473671241, -0.22750724393741362, -0.08310126737092755, -0.22459877452804775, 0.06974202334614736, -0.04069854138818171, -0.1552539423374193, 0.4206786239918854, 0.032800089543785105, 0.1590678233653307, -0.010891980561427771, 0.27919560229139667, 0.26179958411292836, 0.07913587592276079, 0.012234839562526238, 0.3436090322477477, 0.22238771060614715, 0.04192117656680888, -0.3953430697587984, -0.02420554742483156, -0.04978270615184946] |
710.2061 | Nonlinear Dynamical Equation for Irreversible, Steepest-Entropy-Ascent
Relaxation to Stable Equilibrium | We discuss the structure and main features of the nonlinear evolution
equation proposed by this author as the fundamental dynamical law within the
framework of Quantum Thermodynamics. The nonlinear equation generates a
dynamical group providing a unique deterministic description of irreversible,
conservative relaxation towards equilibrium from any non-equilibrium state, and
satisfies a very restrictive stability requirement equivalent to
Hatsopoulos-Keenan statement of the second law of thermodynamics. Here, we
emphasize its mathematical structure and its applicability also within other
contexts, such as Classical and Quantum Statistical Mechanics, and Information
Theory.
| quant-ph | we discuss the structure and main features of the nonlinear evolution equation proposed by this author as the fundamental dynamical law within the framework of quantum thermodynamics the nonlinear equation generates a dynamical group providing a unique deterministic description of irreversible conservative relaxation towards equilibrium from any nonequilibrium state and satisfies a very restrictive stability requirement equivalent to hatsopouloskeenan statement of the second law of thermodynamics here we emphasize its mathematical structure and its applicability also within other contexts such as classical and quantum statistical mechanics and information theory | [['we', 'discuss', 'the', 'structure', 'and', 'main', 'features', 'of', 'the', 'nonlinear', 'evolution', 'equation', 'proposed', 'by', 'this', 'author', 'as', 'the', 'fundamental', 'dynamical', 'law', 'within', 'the', 'framework', 'of', 'quantum', 'thermodynamics', 'the', 'nonlinear', 'equation', 'generates', 'a', 'dynamical', 'group', 'providing', 'a', 'unique', 'deterministic', 'description', 'of', 'irreversible', 'conservative', 'relaxation', 'towards', 'equilibrium', 'from', 'any', 'nonequilibrium', 'state', 'and', 'satisfies', 'a', 'very', 'restrictive', 'stability', 'requirement', 'equivalent', 'to', 'hatsopouloskeenan', 'statement', 'of', 'the', 'second', 'law', 'of', 'thermodynamics', 'here', 'we', 'emphasize', 'its', 'mathematical', 'structure', 'and', 'its', 'applicability', 'also', 'within', 'other', 'contexts', 'such', 'as', 'classical', 'and', 'quantum', 'statistical', 'mechanics', 'and', 'information', 'theory']] | [-0.08120690091957593, 0.07462719461711292, -0.1608804117316719, 0.08022316140837078, -0.08565951688003472, -0.1397427545452956, 0.06490517858368218, 0.2529253943860319, -0.3361101001871496, -0.26998660288518295, 0.07993425005075881, -0.24780505782374265, -0.17478011743250219, 0.15727436510761353, -0.034419895818432036, 0.09932587968730579, 0.009201845175332644, 0.05151206707920541, -0.07223072751763869, -0.15388126791433684, 0.31515923615238123, 0.051132752483350814, 0.2721179498846389, 0.04861317571802912, 0.14886830613779073, 0.008005348044786264, 0.013344158956897445, 0.03780812859820964, -0.1647748099957508, 0.1107220124897801, 0.23027800258238462, 0.1279782825440634, 0.29891685164131393, -0.4166520135688849, -0.25732163359961385, 0.035949795819099316, 0.06842585625814866, 0.14212940423749387, -0.05636800393800844, -0.27413563076830044, 0.057467317758974706, -0.16601990525801244, -0.18511860293669583, -0.1100708886303685, 0.023382610218091446, 0.008307503277054902, -0.1736322466868759, 0.14878177722957017, 0.15433624035358662, 0.04634645331481641, -0.08725532876401716, -0.03626256124963137, -0.01879000877538188, 0.11448489203096622, -0.006009518031284891, -0.03362881433647338, 0.14861801176712933, -0.13805577278253622, -0.1155734797727994, 0.4465741857632317, -0.039582171503835445, -0.18697830869562246, 0.17930414649890736, -0.12034961509396619, -0.19919515783708033, 0.05003166456960819, 0.11841411856849762, 0.1032634991552186, -0.18047852142295928, 0.12301547782937466, -0.010373749209313908, 0.16572735729542645, 0.014562769259844737, 0.07706698200623081, 0.1984420700861268, 0.18280925359365277, 0.037775802971075544, 0.14319930378075119, 0.026551178603602402, -0.2434684364442629, -0.36767951085824857, -0.17615480000280181, -0.1495681906711649, 0.1351118935695426, -0.09457906496506686, -0.1505614091292955, 0.38932373943018983, 0.14796011911808324, 0.10575248223242605, 0.06935122651471333, 0.2817833676553247, 0.15862669935185378, -0.022875979510982605, 0.051414156060094356, 0.23556623030559753, 0.21244289151085963, 0.12626877438742667, -0.23621663816348618, 0.06430048511405899, 0.09795171664286913] |
710.2062 | Indirect Searches For Dark Matter: Signals, Hints and Otherwise | For the SUSY 2007 conference, I was asked to review the topic of indirect
searches for dark matter. As part of that talk, I summarized several
observations which have been interpreted as the product of dark matter
annihilations. In my contribution to the proceedings, I have decided to focus
on this aspect of my talk. In particular, I will discuss the cosmic positron
spectrum measured by HEAT, the 511 keV emission from the Galactic Bulge
measured by INTEGRAL, the diffuse galactic and extragalactic gamma ray spectra
measured by EGRET, and the microwave excess from the Galactic Center observed
by WMAP.
| hep-ph astro-ph | for the susy 2007 conference i was asked to review the topic of indirect searches for dark matter as part of that talk i summarized several observations which have been interpreted as the product of dark matter annihilations in my contribution to the proceedings i have decided to focus on this aspect of my talk in particular i will discuss the cosmic positron spectrum measured by heat the 511 kev emission from the galactic bulge measured by integral the diffuse galactic and extragalactic gamma ray spectra measured by egret and the microwave excess from the galactic center observed by wmap | [['for', 'the', 'susy', '2007', 'conference', 'i', 'was', 'asked', 'to', 'review', 'the', 'topic', 'of', 'indirect', 'searches', 'for', 'dark', 'matter', 'as', 'part', 'of', 'that', 'talk', 'i', 'summarized', 'several', 'observations', 'which', 'have', 'been', 'interpreted', 'as', 'the', 'product', 'of', 'dark', 'matter', 'annihilations', 'in', 'my', 'contribution', 'to', 'the', 'proceedings', 'i', 'have', 'decided', 'to', 'focus', 'on', 'this', 'aspect', 'of', 'my', 'talk', 'in', 'particular', 'i', 'will', 'discuss', 'the', 'cosmic', 'positron', 'spectrum', 'measured', 'by', 'heat', 'the', '511', 'kev', 'emission', 'from', 'the', 'galactic', 'bulge', 'measured', 'by', 'integral', 'the', 'diffuse', 'galactic', 'and', 'extragalactic', 'gamma', 'ray', 'spectra', 'measured', 'by', 'egret', 'and', 'the', 'microwave', 'excess', 'from', 'the', 'galactic', 'center', 'observed', 'by', 'wmap']] | [-0.013447505757212638, 0.14606369979213923, -0.06662986849434674, 0.12558299186988733, -0.13879604315385222, -0.0592172502912581, -0.004647394884377718, 0.35462296431243884, -0.2025632517784834, -0.3860781975556165, 0.01905482871225104, -0.3532181068789214, 0.013389729000627994, 0.19426438551570754, -0.012220707419328392, -0.03287632207386196, 0.020896292766556145, -0.030229797530919315, 0.04704470773460343, -0.2895832355017774, 0.28787676014588215, 0.16749002580530942, 0.18437063612043858, 0.0827702855411917, 0.05740696892607957, -0.049103173254989085, -0.17877841834444552, -0.058194856652989985, -0.15873167378631478, 0.09919145104242488, 0.28654090166091917, 0.16145275230926928, 0.11145607679616659, -0.3927982149925083, -0.21437033182010054, 0.14657942465506493, 0.16278204719536007, -0.010806637207278981, -0.0994869475311134, -0.34100478019565345, 0.00856069464236498, -0.20507666371762753, -0.10255319938529282, 0.0808399512620963, 0.029170875339768827, 0.016538242818787696, -0.08443033400923014, 0.0768214833503589, 0.03779170842259191, 0.050548894382081926, -0.08074102800921537, -0.1910344143398106, 0.03477384862489998, -0.012788592850556597, 0.1190985019132495, 0.06282534575322643, 0.20140824182424694, -0.12350608577718958, -0.1553497966658324, 0.41566599406301974, -0.11454459186410532, 0.01820936935240752, 0.10183343264274299, -0.2134528704546392, -0.23156014918349682, 0.131142414547503, 0.16315544918179511, 0.030885101966559886, -0.19443364685197595, 0.1451696295745205, -0.030056210032198577, 0.14272426777053623, 0.06373637665528804, 8.131434675306082e-05, 0.33083583002910016, 0.07951630068360828, 0.0070824659150093795, 0.056519460041308776, -0.20389630261110142, 0.0033198351971805095, -0.367526632505469, -0.09277020530775189, -0.17128118796972558, 0.08414900169009343, 0.04005893085181014, -0.05137141293846071, 0.3739272311050445, 0.10001779793761671, 0.21872493540868163, -0.0525649539672304, 0.30846529625123364, 0.05042718967364635, -0.009072248009033501, 0.05942004268988967, 0.37259869668632745, 0.14618846837431193, 0.1944947007857263, -0.19681734576355667, 0.026983830626413692, 0.02027420127764344] |
710.2063 | Distance matrices and isometric embeddings | We review the relations between distance matrices and isometric embeddings
and give simple proofs that distance matrices defined on euclidean and
spherical spaces have all eigenvalues except one non-negative. Several
generalizations are discussed.
| nlin.CD | we review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices defined on euclidean and spherical spaces have all eigenvalues except one nonnegative several generalizations are discussed | [['we', 'review', 'the', 'relations', 'between', 'distance', 'matrices', 'and', 'isometric', 'embeddings', 'and', 'give', 'simple', 'proofs', 'that', 'distance', 'matrices', 'defined', 'on', 'euclidean', 'and', 'spherical', 'spaces', 'have', 'all', 'eigenvalues', 'except', 'one', 'nonnegative', 'several', 'generalizations', 'are', 'discussed']] | [-0.10899324234483312, 0.10295140317104982, -0.008638908719700394, 0.17768243042695703, -0.08356755332682621, -0.18599573339363842, -0.053204871149677216, 0.4454089936546304, -0.24197952028815495, -0.2007935569536957, 0.15096851244963932, -0.36685983043615567, -0.1981983876815348, 0.18910036399734742, -0.07778799284256599, 0.010071112774312496, 0.07778661599326314, 0.0497524079965484, -0.22777961547994477, -0.2819644836991122, 0.3937747355155421, -0.09186647414709583, 0.20267734407785942, 0.07746823603343783, 0.11968049525537273, 0.01931875031159231, -0.07151225666430863, 0.0052477718528473015, -0.21941592231869986, 0.14395502211780034, 0.25881922168826516, 0.15889478405711777, 0.17103005091970166, -0.3948703877853625, -0.1340223039556859, 0.23426802761175416, 0.12563380418401776, -0.018136490182245547, -0.04436707512517883, -0.2836778043684634, 0.038141029523544465, -0.10212539904045337, -0.09710598835778056, -0.13012514974583278, 0.08802066923994006, 0.03290881160082239, -0.16721744379593115, 0.03344256212144638, 0.11259155232233531, 0.060182033191350376, -0.07409261730076237, -0.25132466838554, 0.03667987248098308, 0.142401436908227, 0.018634514826716797, -0.03301934600158623, 0.0616140153230817, 0.09413305802665876, -0.1354669172203902, 0.34063336944602657, 0.04309026775599429, -0.32898491779060074, 0.18103518145102443, -0.10575268349864266, -0.11493640752847899, -0.023868764101555855, 0.1551709367159867, 0.11389661473080967, -0.1123791854320602, 0.15640378582016143, -0.10141582374997211, 0.04084168182629527, 0.18932153249272343, 0.10867788807742974, 0.13224344615909187, -0.011731170117855072, 0.10259375552590372, 0.11277380523582299, 0.052358210178543675, -0.1244096398886265, -0.3426062191808314, -0.09937556161347663, -0.22184637660569878, 0.06321162432008846, -0.2423061525125487, -0.19183398653386216, 0.35812817818739195, 0.04293154321159377, 0.2660897175470988, 0.18492140189151873, 0.20737808101782293, 0.011672377953249397, 0.04934220145823377, 0.11909391728201599, 0.1689598886578372, 0.27718731269917707, 0.0007935080705492785, -0.030456670080170486, -0.016115323245299584, 0.2548419598306557] |
710.2064 | Reduction of structure for torsors over semilocal rings | Let G be a reductive affine group scheme defined over a semilocal ring k.
Assume that either G is semisimple or k is normal and noetherian. We show that
G has a finite k-subgroup S such that the natural map H^1(R, S) --> H^1(R, G)
is surjective for every semilocal ring R containing k. In other words,
G-torsors over Spec(R) admit reduction of structure to S. We also show that the
natural map H^1(X, S) --> H^1(X, G) is surjective in several other contexts,
under suitable assumptions on the base ring k, the scheme X/k and the group
scheme G/k. These results have already been used to study loop algebras as well
as essential dimension of connected algebraic groups in prime characteristic.
Additional applications are presented at the end of this paper.
| math.AG math.GR | let g be a reductive affine group scheme defined over a semilocal ring k assume that either g is semisimple or k is normal and noetherian we show that g has a finite ksubgroup s such that the natural map h1r s h1r g is surjective for every semilocal ring r containing k in other words gtorsors over specr admit reduction of structure to s we also show that the natural map h1x s h1x g is surjective in several other contexts under suitable assumptions on the base ring k the scheme xk and the group scheme gk these results have already been used to study loop algebras as well as essential dimension of connected algebraic groups in prime characteristic additional applications are presented at the end of this paper | [['let', 'g', 'be', 'a', 'reductive', 'affine', 'group', 'scheme', 'defined', 'over', 'a', 'semilocal', 'ring', 'k', 'assume', 'that', 'either', 'g', 'is', 'semisimple', 'or', 'k', 'is', 'normal', 'and', 'noetherian', 'we', 'show', 'that', 'g', 'has', 'a', 'finite', 'ksubgroup', 's', 'such', 'that', 'the', 'natural', 'map', 'h1r', 's', 'h1r', 'g', 'is', 'surjective', 'for', 'every', 'semilocal', 'ring', 'r', 'containing', 'k', 'in', 'other', 'words', 'gtorsors', 'over', 'specr', 'admit', 'reduction', 'of', 'structure', 'to', 's', 'we', 'also', 'show', 'that', 'the', 'natural', 'map', 'h1x', 's', 'h1x', 'g', 'is', 'surjective', 'in', 'several', 'other', 'contexts', 'under', 'suitable', 'assumptions', 'on', 'the', 'base', 'ring', 'k', 'the', 'scheme', 'xk', 'and', 'the', 'group', 'scheme', 'gk', 'these', 'results', 'have', 'already', 'been', 'used', 'to', 'study', 'loop', 'algebras', 'as', 'well', 'as', 'essential', 'dimension', 'of', 'connected', 'algebraic', 'groups', 'in', 'prime', 'characteristic', 'additional', 'applications', 'are', 'presented', 'at', 'the', 'end', 'of', 'this', 'paper']] | [-0.23769351696022428, 0.04700939263073871, -0.1117150713582165, 0.01367931393100522, -0.1020274092998499, -0.2055755059270618, -0.024512392385468748, 0.41150319093408494, -0.35901179349479767, -0.18246491490146863, 0.07420496079587163, -0.2445578596053215, -0.10677118515774894, 0.2146099584521905, -0.101722283478683, -0.0751053823211875, 0.04142192622216848, 0.18025393040420917, -0.06430909499311104, -0.3089715008247787, 0.34485833472930466, -0.06783235767462219, 0.21139092738381945, 0.01854301148873324, 0.0820401193574071, -0.015433225293572132, 0.00040500108510828933, 0.04605114737776323, -0.1571284228087349, 0.055160600936505946, 0.3654475312751646, 0.07691080155664867, 0.22850707279554067, -0.3580757552137724, -0.20955518853868574, 0.2450089594277625, 0.12375466834682111, -0.056839432323781344, 0.0055491619859822094, -0.2196480986662209, 0.20634104357315944, -0.19440941096176034, -0.10403301495557221, -0.08335115613702399, 0.14831413350139672, 0.0026923351867410997, -0.27871729327912015, -0.02232025828987109, 0.10608538336998138, 0.1437831429621348, 0.013313152436883404, -0.1471972855228859, -0.06867369738085052, 0.04085968101415067, -0.05371279938576313, 0.12342237014180192, 0.10145105253927446, -0.02814258546031152, -0.08020992038341669, 0.3913695213671487, -0.1318166242697491, -0.1573746524607906, 0.1548156472782676, -0.17049379229205303, -0.1538799029094382, 0.12626046602829144, 0.0618009554544607, 0.18078993826818007, -0.017314594253772297, 0.2628215791375484, -0.17788307236220974, 0.09142958371398541, 0.07632427314081444, 0.006825458620173427, 0.11203576707496093, 0.08445840816622456, 0.12944812981228238, 0.07175604155322966, 0.0217731573099557, 0.08075667267951828, -0.3726686355586235, -0.1409275954034036, -0.1335936435480387, 0.14486165404534684, -0.07819676264524997, -0.10502693803730206, 0.34667006322978033, 0.06646702506651099, 0.17125903118777877, 0.03861637930027567, 0.2124977086312496, 0.030286645751374845, 0.08142269197314118, 0.10219944148825912, 0.02841926137200342, 0.22432762409667842, -0.08074961438004931, -0.16188621233002498, -0.02902521205564531, 0.16172007901880603] |
710.2065 | Commensurate magnetic structures ofRMn2O5 (R=Y, Ho, Bi) determined by
Single-crystal Neutron Diffraction | Precise magnetic structures of RMn2O5, with R= Y, Ho, Bi in the
commensurate/ferroelectric regime, have been determined by single-crystal
neutron diffraction. For each system, the integrated intensities of a large
number of independent magnetic Bragg reflections have been measured, allowing
unconstrained least-squares refinement of the structures. The analysis confirms
the previously reported magnetic configuration in the ab-plane, in particular
the existence of zig-zag antiferromagnetic chains. For the Y and Ho compounds
additional weak magnetic components parallel to the c-axis were detected which
are modulated in phase quadrature with the a-b components. This component is
extremely small in the BiMn2O5 sample, therefore supporting symmetric exchange
as the principal mechanism inducing ferroelectricity. For HoMn2O5, a magnetic
ordering of the Ho moments was observed, which is consistent with a
super-exchange interaction through the oxygens. For all three compounds, the
point symmetry in the magnetically ordered state is m2m, allowing the polar
b-axis found experimentally.
| cond-mat.mtrl-sci | precise magnetic structures of rmn2o5 with r y ho bi in the commensurateferroelectric regime have been determined by singlecrystal neutron diffraction for each system the integrated intensities of a large number of independent magnetic bragg reflections have been measured allowing unconstrained leastsquares refinement of the structures the analysis confirms the previously reported magnetic configuration in the abplane in particular the existence of zigzag antiferromagnetic chains for the y and ho compounds additional weak magnetic components parallel to the caxis were detected which are modulated in phase quadrature with the ab components this component is extremely small in the bimn2o5 sample therefore supporting symmetric exchange as the principal mechanism inducing ferroelectricity for homn2o5 a magnetic ordering of the ho moments was observed which is consistent with a superexchange interaction through the oxygens for all three compounds the point symmetry in the magnetically ordered state is m2m allowing the polar baxis found experimentally | [['precise', 'magnetic', 'structures', 'of', 'rmn2o5', 'with', 'r', 'y', 'ho', 'bi', 'in', 'the', 'commensurateferroelectric', 'regime', 'have', 'been', 'determined', 'by', 'singlecrystal', 'neutron', 'diffraction', 'for', 'each', 'system', 'the', 'integrated', 'intensities', 'of', 'a', 'large', 'number', 'of', 'independent', 'magnetic', 'bragg', 'reflections', 'have', 'been', 'measured', 'allowing', 'unconstrained', 'leastsquares', 'refinement', 'of', 'the', 'structures', 'the', 'analysis', 'confirms', 'the', 'previously', 'reported', 'magnetic', 'configuration', 'in', 'the', 'abplane', 'in', 'particular', 'the', 'existence', 'of', 'zigzag', 'antiferromagnetic', 'chains', 'for', 'the', 'y', 'and', 'ho', 'compounds', 'additional', 'weak', 'magnetic', 'components', 'parallel', 'to', 'the', 'caxis', 'were', 'detected', 'which', 'are', 'modulated', 'in', 'phase', 'quadrature', 'with', 'the', 'ab', 'components', 'this', 'component', 'is', 'extremely', 'small', 'in', 'the', 'bimn2o5', 'sample', 'therefore', 'supporting', 'symmetric', 'exchange', 'as', 'the', 'principal', 'mechanism', 'inducing', 'ferroelectricity', 'for', 'homn2o5', 'a', 'magnetic', 'ordering', 'of', 'the', 'ho', 'moments', 'was', 'observed', 'which', 'is', 'consistent', 'with', 'a', 'superexchange', 'interaction', 'through', 'the', 'oxygens', 'for', 'all', 'three', 'compounds', 'the', 'point', 'symmetry', 'in', 'the', 'magnetically', 'ordered', 'state', 'is', 'm2m', 'allowing', 'the', 'polar', 'baxis', 'found', 'experimentally']] | [-0.22336878226449092, 0.20794837326277046, -0.0016522697561110059, 0.0046675810202335315, -0.06010274810522484, -0.12140474590472877, 0.06002290412938843, 0.43004730297873417, -0.269164633040006, -0.2867180710658431, 0.02968458173330873, -0.30053742408752443, -0.06539760681490103, 0.1404864786705002, 0.09796478300044933, -0.0006297481836130222, -0.030967744331186018, -0.00032728775559614105, -0.07939133536691467, -0.2181366548423345, 0.23864471804971496, 0.04280589266990622, 0.30650765512138606, -0.003579534897580743, 0.0422824119636789, 0.01636935957862685, 0.07817320788279175, 0.023365804826219878, -0.07928078566988309, 0.08546558662007252, 0.25522353272438825, -0.05964162166351646, 0.15710074029242, -0.4033593911302645, -0.18820077173179015, 0.036985155444902676, 0.15120446556907458, 0.09144398961526652, -0.050747699389855065, -0.28600516585012276, 0.09441528425551951, -0.10297142410029968, -0.11991817959778321, -0.10743763821199537, 0.005270964303441966, 0.05080103311687708, -0.2949381120254596, 0.07410797276844582, 0.09082308762551596, 0.149928098830084, -0.12899421915101508, -0.14801374484707291, -0.0815916094975546, 0.03203581480930249, 0.07590155430758992, 0.0945425362753061, 0.0909495561546646, -0.038040887682776275, -0.11077634893047313, 0.33801735563824575, -0.014875710238702594, -0.08450927638972644, 0.1302565960555027, -0.19331831107847391, -0.12891052914783357, 0.1874065965972841, 0.07664142196998, 0.10977777798660099, -0.14347174781685074, 0.09449190402364668, -0.01300950454470391, 0.16973275740184665, 0.049029854116706705, 0.03002822266309522, 0.2441879971791059, 0.1582971623671862, 0.03171397386341899, 0.1493013433421341, -0.16084690233071644, -0.04860635118248562, -0.2060861733648926, -0.15958555516786874, -0.17615911910077556, -0.004278938733817388, -0.09779497077368432, -0.19247007932513951, 0.3444841728621395, 0.10619030531185368, 0.18291195526719092, -0.09833138078451156, 0.2502065618429333, 0.06612615357075508, 0.0904562534019351, 0.02789253499203672, 0.2955803399160504, 0.21619238447087508, 0.12540079980312535, -0.24917195397118727, 0.13999462294702728, 0.020142033331406614] |
710.2066 | A Unified Spiral Chain Coloring Algorithm for Planar Graphs | In this paper we have given a unified graph coloring algorithm for planar
graphs. The problems that have been considered in this context respectively,
are vertex, edge, total and entire colorings of the planar graphs. The main
tool in the coloring algorithm is the use of spiral chain which has been used
in the non-computer proof of the four color theorem in 2004. A more precies
explanation of the proof of the four color theorem by spiral chain coloring is
also given in this paper. Then we continue to spiral-chain coloring solutions
by giving the proof of other famous conjectures of Vizing's total coloring and
planar graph conjectures of maximum vertex degree six. We have also given the
proof of a conjecture of Kronk and Mitchem that any plane graph of maximum
degree "Delta" is entirely ("Delta"+4)-colorable.The last part of the paper
deals with the three colorability of planar graphs under the spiral chain
coloring. We have given an efficient and short proof of the Groetzsch's Theorem
that triangle-free planar graphs are 3-colorable.
| math.CO | in this paper we have given a unified graph coloring algorithm for planar graphs the problems that have been considered in this context respectively are vertex edge total and entire colorings of the planar graphs the main tool in the coloring algorithm is the use of spiral chain which has been used in the noncomputer proof of the four color theorem in 2004 a more precies explanation of the proof of the four color theorem by spiral chain coloring is also given in this paper then we continue to spiralchain coloring solutions by giving the proof of other famous conjectures of vizings total coloring and planar graph conjectures of maximum vertex degree six we have also given the proof of a conjecture of kronk and mitchem that any plane graph of maximum degree delta is entirely delta4colorablethe last part of the paper deals with the three colorability of planar graphs under the spiral chain coloring we have given an efficient and short proof of the groetzschs theorem that trianglefree planar graphs are 3colorable | [['in', 'this', 'paper', 'we', 'have', 'given', 'a', 'unified', 'graph', 'coloring', 'algorithm', 'for', 'planar', 'graphs', 'the', 'problems', 'that', 'have', 'been', 'considered', 'in', 'this', 'context', 'respectively', 'are', 'vertex', 'edge', 'total', 'and', 'entire', 'colorings', 'of', 'the', 'planar', 'graphs', 'the', 'main', 'tool', 'in', 'the', 'coloring', 'algorithm', 'is', 'the', 'use', 'of', 'spiral', 'chain', 'which', 'has', 'been', 'used', 'in', 'the', 'noncomputer', 'proof', 'of', 'the', 'four', 'color', 'theorem', 'in', '2004', 'a', 'more', 'precies', 'explanation', 'of', 'the', 'proof', 'of', 'the', 'four', 'color', 'theorem', 'by', 'spiral', 'chain', 'coloring', 'is', 'also', 'given', 'in', 'this', 'paper', 'then', 'we', 'continue', 'to', 'spiralchain', 'coloring', 'solutions', 'by', 'giving', 'the', 'proof', 'of', 'other', 'famous', 'conjectures', 'of', 'vizings', 'total', 'coloring', 'and', 'planar', 'graph', 'conjectures', 'of', 'maximum', 'vertex', 'degree', 'six', 'we', 'have', 'also', 'given', 'the', 'proof', 'of', 'a', 'conjecture', 'of', 'kronk', 'and', 'mitchem', 'that', 'any', 'plane', 'graph', 'of', 'maximum', 'degree', 'delta', 'is', 'entirely', 'delta4colorablethe', 'last', 'part', 'of', 'the', 'paper', 'deals', 'with', 'the', 'three', 'colorability', 'of', 'planar', 'graphs', 'under', 'the', 'spiral', 'chain', 'coloring', 'we', 'have', 'given', 'an', 'efficient', 'and', 'short', 'proof', 'of', 'the', 'groetzschs', 'theorem', 'that', 'trianglefree', 'planar', 'graphs', 'are', '3colorable']] | [-0.166364223059107, 0.053698099734342225, -0.09887452874768018, 0.022493515764335555, -0.11273708066644048, -0.1117534881110507, 0.023628230181180997, 0.39400136461977425, -0.230108904613722, -0.3400192156533253, 0.10821575364070399, -0.27460851337479636, -0.16734663372826294, 0.1350234473666959, -0.12947681453767834, 0.0392653173491491, 0.10921578466914286, 0.03875494691248454, 0.03663736999933139, -0.2924654947746388, 0.3018707137047892, -0.06858430980820451, 0.18698660640001913, 0.1348030196193512, 0.07221892726822542, 0.06375528235241947, -0.034045743530054066, 0.059305612648115354, -0.18572871742928337, 0.11559638935113711, 0.23973002804983298, 0.15635750697066003, 0.23107093334550688, -0.3939742491244388, -0.1358366365766307, 0.184099435146358, 0.12413339535226996, 0.11310475954276884, -0.02063686753247421, -0.20184545899388662, 0.1311565254292776, -0.12478314041619509, -0.14262223062959647, 0.04625209072362301, 0.08679882211048574, 0.01709652717704692, -0.20015927588225468, 0.006162209201744653, 0.1709262016422209, 0.07307377630037383, 0.04369170486805795, -0.135127947230399, -0.014452666066278368, 0.08832514964143288, -0.0274770864052698, 0.08961776192658223, -0.005718021959441124, -0.12623725448646886, -0.2307158881528358, 0.35388571537546154, 0.003653204983331748, -0.13065359887485145, 0.11992613351821194, -0.0920150186095012, -0.2314817103166023, 0.10308362549093701, 0.1261145657826678, 0.171066490602652, -0.14095399327598204, 0.10714852653813035, -0.1692541785119377, 0.09801586336020887, 0.15853620181686778, 0.015188661274450593, 0.1400322916555169, 0.1406386562253861, 0.14689047847317874, 0.2211568410148067, -0.010046848726938286, -0.04123089363324572, -0.29453764611596145, -0.13097119812451347, -0.21612332264972664, 0.01972644776656959, -0.16405280950560494, -0.19642755690929012, 0.4601155902154347, 0.11805201447642777, 0.1386154921912759, 0.09692415877826754, 0.24485004233119226, 0.09465789038291168, 0.05517443262464945, 0.14054288277843383, 0.17935256665770913, 0.20864426316803641, 0.015673428652642745, -0.13225677984314776, 0.05418583490615766, 0.1704324639991984] |
710.2067 | SuperIso: A program for calculating the isospin asymmetry of B -> K*
gamma in the MSSM | We present a program for calculating the isospin symmetry breaking of the B
-> K* gamma decay in the MSSM with minimal flavor violation. This program
calculates the NLO supersymmetric contributions to the isospin asymmetry, using
the effective Hamiltonian approach and within the QCD factorization method. We
show that isospin symmetry breaking proves to be a very restrictive observable,
in particular in the mSUGRA parameter space. The program also calculates the
inclusive branching ratio associated to b -> s gamma transition, as a
comparison reference.
| hep-ph | we present a program for calculating the isospin symmetry breaking of the b k gamma decay in the mssm with minimal flavor violation this program calculates the nlo supersymmetric contributions to the isospin asymmetry using the effective hamiltonian approach and within the qcd factorization method we show that isospin symmetry breaking proves to be a very restrictive observable in particular in the msugra parameter space the program also calculates the inclusive branching ratio associated to b s gamma transition as a comparison reference | [['we', 'present', 'a', 'program', 'for', 'calculating', 'the', 'isospin', 'symmetry', 'breaking', 'of', 'the', 'b', 'k', 'gamma', 'decay', 'in', 'the', 'mssm', 'with', 'minimal', 'flavor', 'violation', 'this', 'program', 'calculates', 'the', 'nlo', 'supersymmetric', 'contributions', 'to', 'the', 'isospin', 'asymmetry', 'using', 'the', 'effective', 'hamiltonian', 'approach', 'and', 'within', 'the', 'qcd', 'factorization', 'method', 'we', 'show', 'that', 'isospin', 'symmetry', 'breaking', 'proves', 'to', 'be', 'a', 'very', 'restrictive', 'observable', 'in', 'particular', 'in', 'the', 'msugra', 'parameter', 'space', 'the', 'program', 'also', 'calculates', 'the', 'inclusive', 'branching', 'ratio', 'associated', 'to', 'b', 's', 'gamma', 'transition', 'as', 'a', 'comparison', 'reference']] | [-0.1227686005842266, 0.18706943518874874, -0.09995002595214061, 0.1364487536596583, -0.07767380845272936, -0.15533372053472572, 0.09286250929763339, 0.3225809662737491, -0.217181671321033, -0.25976707970342006, 0.009453934742171452, -0.25260789744578394, -0.02522924259103027, 0.041222369747169044, 0.06917767989426761, 0.0941291385139507, 0.04520933626286955, 0.0012328823444893561, -0.11287093779958605, -0.15909177073872233, 0.2652968567829714, 0.01537462085182498, 0.18715182962232685, 0.10516546003475606, 0.025776239044695014, 0.026103607113108444, -0.03656126328755215, -0.03490156292703552, -0.1496149255219652, 0.07314487499134413, 0.2288186492213239, 0.1047886593199997, 0.06909138072248414, -0.300895053287407, -0.10970876327749476, 0.1657891337092158, 0.12075902349932725, 0.13440453371100397, -0.028324776508632195, -0.3095092203198786, 0.08200904084734215, -0.21832608835524822, -0.12661064491349172, -0.12148189101457955, 0.01577595743653645, -0.14383841727871494, -0.35294542010559377, 0.07009181818302092, -0.04155092413750398, 0.043486140814261984, 0.02833856987284429, -0.18369142166675484, -0.06781489451427057, -0.009767521896500545, 0.15710753702883978, 0.070647360440007, 0.1679158647157566, -0.12902036672514156, -0.14409788728254028, 0.46297501085931997, -0.08109143602168076, -0.18940623874316015, 0.07586793158854167, -0.17061591368303242, -0.2411021216104862, 0.15842607468983763, 0.17973839960633273, 0.10997883991810987, -0.1380900135937046, 0.2195069597219117, -0.04957007393465344, 0.14250240954065538, 0.033997512245775165, 0.011679798030821854, 0.15350483568856516, 0.16485655133006533, 0.05004105516092246, 0.10408386134637901, -0.06607789398768513, -0.10779975736177111, -0.48223493365481135, -0.13833650703126765, -0.11548021071483885, 0.05227767892675587, -0.08832875151079883, -0.07775985413085086, 0.3953834492208279, 0.11611067514630954, 0.22799726511654725, 0.06537902416347201, 0.2883247876349074, 0.1120041686892846, 0.09088833183078207, 0.03139293466481459, 0.25274190053635515, 0.15286938644137726, 0.09309346115508352, -0.34404293268200864, 0.028313869862895774, 0.11196419673534222] |
710.2068 | Analytic continuation of the critical line in 2-color QCD at nonzero
temperature and density | We determine the pseudo-critical line in the temperature - chemical potential
plane of 2-color QCD by direct Monte Carlo simulations and by analytic
continuation from imaginary chemical potential.
| hep-lat | we determine the pseudocritical line in the temperature chemical potential plane of 2color qcd by direct monte carlo simulations and by analytic continuation from imaginary chemical potential | [['we', 'determine', 'the', 'pseudocritical', 'line', 'in', 'the', 'temperature', 'chemical', 'potential', 'plane', 'of', '2color', 'qcd', 'by', 'direct', 'monte', 'carlo', 'simulations', 'and', 'by', 'analytic', 'continuation', 'from', 'imaginary', 'chemical', 'potential']] | [-0.10828067403700617, 0.1039297855976555, -0.12087496804694335, 0.029494850861805456, -0.0584269541281241, -0.027402450020114582, 0.20033393717474407, 0.4216041330386091, -0.19513842908458578, -0.25195275702410275, 0.028024635721791397, -0.2989404906553251, -0.09889367191741864, 0.16423270768589443, 0.21690860908064577, 0.12910546065756567, 0.021222446320785418, -0.0721078758576402, -0.07900289194313465, -0.14745119131273693, 0.3194879848096106, 0.058359621920519404, 0.1308383146231925, 0.17062882002856997, -0.04031101569395374, 0.03918300931238466, -0.07537233015453373, -0.031151961569708807, -0.26579488910458704, -0.04863555605212847, 0.21363273594114515, -0.005659681710380095, 0.1266273907903168, -0.37509637739923263, -0.270964488076667, 0.19663127159906757, 0.17841494576660571, 0.14682872349361856, -0.12090928564538006, -0.24114043444946962, 0.05006628314516059, -0.12777469279589476, -0.2757560812557737, -0.11418877455785319, -0.015555128041240904, 0.08161914431386524, -0.23538163745844806, 0.0761859765690234, -0.15936520254170453, 0.19186519051867504, -0.014135893020364974, -0.22259240790649695, -0.10986494261952531, 0.0664458930949439, -0.015905120034909084, 0.142759974769972, 0.1857920041549261, -0.0784385797602159, -0.1414050649575613, 0.3795278402114356, -0.09885190234140113, -0.11080451858126455, 0.1776626248050619, -0.19087998897561598, -0.07022274828826387, 0.2129758708178997, 0.07956711524079933, 0.12520208332204708, -0.17997403943014365, 0.23349306496782918, 0.07317846606451052, 0.08069067065500551, 0.02080412398747824, -0.18212245221905135, 0.2676177225593064, 0.08320422484366982, -0.041973611960808434, 0.14282668423321512, -0.013366908386901574, -0.2137342020869255, -0.3084833974501601, -0.13292431727879578, -0.28326700298822727, 0.09187965452050169, -0.2253413329841957, -0.19548403927021557, 0.35575529387979593, 0.25384928941450735, 0.19232183225728847, 0.01838409797184997, 0.3719816167873365, 0.12071111287783694, 0.011812193422681756, -0.016943479612193727, 0.21952174027898796, 0.22467678107528222, 0.15011926126424913, -0.3727391162387061, -0.044206916268363046, 0.16681720619952237] |
710.2069 | The Quest for the Ideal Scintillator for Hybrid Phototubes | In this paper we present the results of extensive studies of scintillators
for hybrid phototubes with luminescent screens. The results of the developments
of such phototubes with a variety of scintillators are presented. New
scintillator materials for such kind of application are discussed. The
requirements for scintillators to use in such hybrid phototubes are formulated.
It is shown that very fast and highly efficient inorganic scintillators like
ZnO:Ga will be ideal scintillators for such kind of application.
| physics.optics astro-ph nucl-ex physics.ins-det | in this paper we present the results of extensive studies of scintillators for hybrid phototubes with luminescent screens the results of the developments of such phototubes with a variety of scintillators are presented new scintillator materials for such kind of application are discussed the requirements for scintillators to use in such hybrid phototubes are formulated it is shown that very fast and highly efficient inorganic scintillators like znoga will be ideal scintillators for such kind of application | [['in', 'this', 'paper', 'we', 'present', 'the', 'results', 'of', 'extensive', 'studies', 'of', 'scintillators', 'for', 'hybrid', 'phototubes', 'with', 'luminescent', 'screens', 'the', 'results', 'of', 'the', 'developments', 'of', 'such', 'phototubes', 'with', 'a', 'variety', 'of', 'scintillators', 'are', 'presented', 'new', 'scintillator', 'materials', 'for', 'such', 'kind', 'of', 'application', 'are', 'discussed', 'the', 'requirements', 'for', 'scintillators', 'to', 'use', 'in', 'such', 'hybrid', 'phototubes', 'are', 'formulated', 'it', 'is', 'shown', 'that', 'very', 'fast', 'and', 'highly', 'efficient', 'inorganic', 'scintillators', 'like', 'znoga', 'will', 'be', 'ideal', 'scintillators', 'for', 'such', 'kind', 'of', 'application']] | [-0.059625461236452806, 0.13963037613150361, -0.02249073860078276, 0.011218767840711569, -0.04570448417942245, -0.14527252549305558, -0.053596113005640926, 0.4670656689188697, -0.20502502906632114, -0.3000771590061002, 0.16467979311181064, -0.33356515113748125, -0.15345502581882786, 0.30431238382861214, -0.07897162076400278, 0.12782421269054925, 0.09586201738808062, -0.03246820309689244, -0.05691307182907574, -0.22817666162192435, 0.2094161460635724, 0.09071127517608465, 0.3080877572926995, 0.06615766086434195, 0.12047532608418109, -0.027364475942857854, -0.035278857455818685, 0.005474799784359994, -0.09683135479989888, 0.14382532202674972, 0.3756037757477977, 0.09822759975667124, 0.15733210618498844, -0.48433813866373004, -0.19678335451799167, 0.050171877451047495, 0.07276068754228097, 0.03487563321923281, -0.16786138616599044, -0.24047700739042324, 0.14755352919123002, -0.18764563487213734, -0.13466050367405133, -0.11265351866408214, -0.04550097107451845, 0.1382650990619675, -0.23516149257684682, -0.06867177180595116, 0.010187785570546016, 0.014946329153396866, -0.03875937794831086, -0.16951168554701976, 0.13171025675225567, 0.0014948480242452063, 0.06250918525658161, -0.046303339326730024, 0.13054508670662565, -0.12958491739647632, -0.09063495892136321, 0.41705465812671494, -0.011132498912803539, -0.17343434348892173, 0.22548435241371007, -0.07435898453771293, -0.1698658598478061, 0.1505186175322765, 0.15684523157073887, 0.14047497796051978, -0.15287100491053485, 0.000769407917025753, 0.0032280762861301372, 0.15853975771309495, 0.013353555590252985, 0.12082788245994355, 0.2179420347591596, 0.3015676648537447, 0.014330622522378123, 0.15623635524587537, -0.11679234786273597, 0.020432898387699933, -0.2918421012264761, -0.3027494806893073, -0.16306975249476222, 0.006658377210524949, -0.009086201345213906, -0.2093931594270118, 0.3638051436706023, 0.08735105807759933, 0.06640609881127035, -0.07146885353382434, 0.26267792395763584, 0.013510482361564389, 0.07017699002542278, -0.061221299191041814, 0.2808079340241172, 0.08846499630576604, 0.11515197869051587, -0.1412503545462795, 0.04736592432532411, 0.016068008852300125] |
710.207 | The sh-Lie algebra perturbation Lemma | Let R be a commutative ring which contains the rationals as a subring and let
g be a chain complex. Suppose given an sh-Lie algebra structure on g, that is,
a coalgebra perturbation of the coalgebra differential on the cofree
coaugmented differential graded cocommutative coalgebra T' on the suspension of
g and write the perturbed coalgebra as T". Suppose, furthermore, given a
contraction of g onto a chain complex M. We show that the data determine an
sh-Lie algebra structure on M, that is, a coalgebra perturbation of the
coalgebra differential on the cofree coaugmented differential graded
cocommutative coalgebra S' on the suspension of M, a Lie algebra twisting
cochain from the perturbed coalgebra S" to the loop Lie algebra L on the
perturbed coalgebra T", and an extension of this Lie algebra twisting cochain
to a contraction of chain complexes from the Cartan-Chevalley-Eilenberg
coalgebra on L onto S" which is natural in the data. For the special case where
M and g are connected we also construct an explicit extension of the perturbed
retraction to an sh-Lie map. This approach includes a very general solution of
the master equation.
| math.AG math.AC | let r be a commutative ring which contains the rationals as a subring and let g be a chain complex suppose given an shlie algebra structure on g that is a coalgebra perturbation of the coalgebra differential on the cofree coaugmented differential graded cocommutative coalgebra t on the suspension of g and write the perturbed coalgebra as t suppose furthermore given a contraction of g onto a chain complex m we show that the data determine an shlie algebra structure on m that is a coalgebra perturbation of the coalgebra differential on the cofree coaugmented differential graded cocommutative coalgebra s on the suspension of m a lie algebra twisting cochain from the perturbed coalgebra s to the loop lie algebra l on the perturbed coalgebra t and an extension of this lie algebra twisting cochain to a contraction of chain complexes from the cartanchevalleyeilenberg coalgebra on l onto s which is natural in the data for the special case where m and g are connected we also construct an explicit extension of the perturbed retraction to an shlie map this approach includes a very general solution of the master equation | [['let', 'r', 'be', 'a', 'commutative', 'ring', 'which', 'contains', 'the', 'rationals', 'as', 'a', 'subring', 'and', 'let', 'g', 'be', 'a', 'chain', 'complex', 'suppose', 'given', 'an', 'shlie', 'algebra', 'structure', 'on', 'g', 'that', 'is', 'a', 'coalgebra', 'perturbation', 'of', 'the', 'coalgebra', 'differential', 'on', 'the', 'cofree', 'coaugmented', 'differential', 'graded', 'cocommutative', 'coalgebra', 't', 'on', 'the', 'suspension', 'of', 'g', 'and', 'write', 'the', 'perturbed', 'coalgebra', 'as', 't', 'suppose', 'furthermore', 'given', 'a', 'contraction', 'of', 'g', 'onto', 'a', 'chain', 'complex', 'm', 'we', 'show', 'that', 'the', 'data', 'determine', 'an', 'shlie', 'algebra', 'structure', 'on', 'm', 'that', 'is', 'a', 'coalgebra', 'perturbation', 'of', 'the', 'coalgebra', 'differential', 'on', 'the', 'cofree', 'coaugmented', 'differential', 'graded', 'cocommutative', 'coalgebra', 's', 'on', 'the', 'suspension', 'of', 'm', 'a', 'lie', 'algebra', 'twisting', 'cochain', 'from', 'the', 'perturbed', 'coalgebra', 's', 'to', 'the', 'loop', 'lie', 'algebra', 'l', 'on', 'the', 'perturbed', 'coalgebra', 't', 'and', 'an', 'extension', 'of', 'this', 'lie', 'algebra', 'twisting', 'cochain', 'to', 'a', 'contraction', 'of', 'chain', 'complexes', 'from', 'the', 'cartanchevalleyeilenberg', 'coalgebra', 'on', 'l', 'onto', 's', 'which', 'is', 'natural', 'in', 'the', 'data', 'for', 'the', 'special', 'case', 'where', 'm', 'and', 'g', 'are', 'connected', 'we', 'also', 'construct', 'an', 'explicit', 'extension', 'of', 'the', 'perturbed', 'retraction', 'to', 'an', 'shlie', 'map', 'this', 'approach', 'includes', 'a', 'very', 'general', 'solution', 'of', 'the', 'master', 'equation']] | [-0.21878210063778647, 0.04448319292377595, -0.07726766181080356, 0.010696874191911008, -0.16096033778678823, -0.1375728526936942, -0.061230775410015335, 0.3484242338607529, -0.44912310530872723, -0.1705618304935725, 0.10207925799094435, -0.23165683527109457, -0.11131786353592026, 0.16478555967394065, -0.11460213978578777, -0.1204848856861262, 0.12259767136266946, 0.18463089021020815, -0.08250465474128232, -0.19550616129203455, 0.4096483360093675, 0.0058444241306891565, 0.1419571127791546, -0.04229338534642011, 0.17081778481798737, 0.026085465126915983, 0.020821808807943997, -0.006802814920726968, -0.1978448708780266, 0.06909659191120514, 0.2752473566043926, 0.05165193530877954, 0.18770924477690928, -0.35996967733984714, -0.04214584641893836, 0.11200019824073502, 0.11634731771865565, -0.01504927946156577, 0.008358152514617695, -0.2972937489014217, 0.09361441861409203, -0.23385399422657333, -0.0670396966394037, -0.04991991542720873, 0.16127258083832108, -0.04275728575885296, -0.29715999715140484, -0.05259331124482407, 0.10136151599795802, 0.12872761088962617, -0.03084260097606794, -0.0679649473431422, -0.18049535906726594, 0.02172039574698398, -0.12687864769617782, 0.0967609622717933, 0.1801500127430221, -0.03816553393584112, -0.10669541453060351, 0.34351998210982665, -0.12234659650559096, -0.2295088989022923, 0.08028975798454331, -0.20205620197873367, -0.15906979247290445, 0.13024278985838847, 0.037128282691303055, 0.1965502899826357, -0.04516276763813374, 0.25577285605311195, -0.14237717995910268, 0.07290720380720143, 0.06912869113301368, -0.07205596830248588, 0.12067666061001976, 0.15371901457639117, 0.10294037431885954, 0.1188448851082572, 0.06386927448115066, -0.023088201748109178, -0.3724757041390005, -0.18187728682042736, -0.09200307781023806, 0.19409359879914279, -0.1132897714419462, -0.18253867299246945, 0.37485394332753985, 0.08764458540476162, 0.19966398257223006, 0.08051801699483277, 0.20426400760188698, 0.09403889983475797, 0.1111948364928953, 0.042386603352344156, 0.05089133566637573, 0.3194714075873459, 0.006416213453600281, -0.17573805142096, -0.034909887633923636, 0.19323148146810892] |
710.2071 | Generalized multiresolution analyses with given multiplicity functions | Generalized multiresolution analyses are increasing sequences of subspaces of
a Hilbert space $\H$ that fail to be multiresolution analyses in the sense of
wavelet theory because the core subspace does not have an orthonormal basis
generated by a fixed scaling function. Previous authors have studied a
multiplicity function $m$ which, loosely speaking, measures the failure of the
GMRA to be an MRA. When the Hilbert space $\H$ is $L^2(\mathbb R^n)$, the
possible multiplicity functions have been characterized by Baggett and Merrill.
Here we start with a function $m$ satisfying a consistency condition which is
known to be necessary, and build a GMRA in an abstract Hilbert space with
multiplicity function $m$.
| math.FA math.CA | generalized multiresolution analyses are increasing sequences of subspaces of a hilbert space h that fail to be multiresolution analyses in the sense of wavelet theory because the core subspace does not have an orthonormal basis generated by a fixed scaling function previous authors have studied a multiplicity function m which loosely speaking measures the failure of the gmra to be an mra when the hilbert space h is l2mathbb rn the possible multiplicity functions have been characterized by baggett and merrill here we start with a function m satisfying a consistency condition which is known to be necessary and build a gmra in an abstract hilbert space with multiplicity function m | [['generalized', 'multiresolution', 'analyses', 'are', 'increasing', 'sequences', 'of', 'subspaces', 'of', 'a', 'hilbert', 'space', 'h', 'that', 'fail', 'to', 'be', 'multiresolution', 'analyses', 'in', 'the', 'sense', 'of', 'wavelet', 'theory', 'because', 'the', 'core', 'subspace', 'does', 'not', 'have', 'an', 'orthonormal', 'basis', 'generated', 'by', 'a', 'fixed', 'scaling', 'function', 'previous', 'authors', 'have', 'studied', 'a', 'multiplicity', 'function', 'm', 'which', 'loosely', 'speaking', 'measures', 'the', 'failure', 'of', 'the', 'gmra', 'to', 'be', 'an', 'mra', 'when', 'the', 'hilbert', 'space', 'h', 'is', 'l2mathbb', 'rn', 'the', 'possible', 'multiplicity', 'functions', 'have', 'been', 'characterized', 'by', 'baggett', 'and', 'merrill', 'here', 'we', 'start', 'with', 'a', 'function', 'm', 'satisfying', 'a', 'consistency', 'condition', 'which', 'is', 'known', 'to', 'be', 'necessary', 'and', 'build', 'a', 'gmra', 'in', 'an', 'abstract', 'hilbert', 'space', 'with', 'multiplicity', 'function', 'm']] | [-0.12137167312797498, 0.12223065842977535, -0.14790321451357819, 0.07257604801561683, -0.06530481750695881, -0.09186601935547184, -0.03778106649088758, 0.35366072480312805, -0.2848615913736549, -0.21689963484690947, 0.10615296594332904, -0.23795410186390986, -0.1413787383670834, 0.15511472663122483, -0.0959342829502103, 0.08758343074428425, 0.07157715719023888, 0.05454266910779883, -0.10382810510980728, -0.2671249204061248, 0.3835531212093139, 0.07148052501725033, 0.23039464542049576, -0.034944920749826865, 0.07863095006482168, 0.013572457199916243, -0.03558543529573151, 0.027911325251228514, -0.15692514977662622, 0.10197484279051423, 0.2791874684975483, 0.17452078609600324, 0.32333269564604217, -0.361400033575906, -0.20763950827319852, 0.1822498141078871, 0.15940411185253073, -0.025086443509313872, 0.012485036584125324, -0.2769752465315502, 0.09456400908529758, -0.13591371612961997, -0.1287498711100356, -0.11388756162381139, 0.062451042865656996, 0.03654492468657819, -0.32967489565383984, 0.019971154223788867, 0.09254335310648788, 0.07695522691038521, -0.059717644086446274, -0.10061042120849545, -0.04728302757933058, 0.05730297470978588, -0.012150533484633673, 0.143123544159938, 0.07536458806981418, -0.026459633093327283, -0.08679107763825662, 0.32228194775737146, -0.04964430872615511, -0.30744391706856816, 0.16906152245673267, -0.17084659856998108, -0.14822234742936086, 0.13228071448393167, 0.11671327708648857, 0.10187219354662705, -0.11647646087499611, 0.15026258241110058, -0.1258387375284325, 0.15549758112227374, 0.06827468979172409, 0.06959000265196665, 0.12442964360287244, 0.10901248221158642, 0.11528002817649394, 0.08714693029178307, -0.015558179556815462, -0.016712980057557367, -0.31726342492144216, -0.17226969571043313, -0.24061012173240834, 0.034092307279272725, -0.07521688553732185, -0.19465935349633748, 0.3421052287798375, 0.038414523428813976, 0.2629475634968416, 0.055283394728956575, 0.2198208198205314, 0.1592244289011102, 0.08024613887748935, 0.0814478095790202, 0.1498585311018608, 0.1384285878347741, 0.037758126118305056, -0.11588100651279092, 0.02182094685055993, 0.15036522075533867] |
710.2072 | On numerical averaging of the conductivity coefficient using two-scale
extensions | In this article we compare solutions to elliptic problems having rapidly
oscillated conductivity (permeability, etc) coefficient with solutions to
corresponding homogenized problems obtained from two-scale extensions of the
initial coefficient. The comparison is done numerically on several one and two
dimensional test problems with randomly generated coefficients for different
intensities of oscillation. The dependency of the approximation error on the
size of averaging is investigated.
| math.AP math.NA | in this article we compare solutions to elliptic problems having rapidly oscillated conductivity permeability etc coefficient with solutions to corresponding homogenized problems obtained from twoscale extensions of the initial coefficient the comparison is done numerically on several one and two dimensional test problems with randomly generated coefficients for different intensities of oscillation the dependency of the approximation error on the size of averaging is investigated | [['in', 'this', 'article', 'we', 'compare', 'solutions', 'to', 'elliptic', 'problems', 'having', 'rapidly', 'oscillated', 'conductivity', 'permeability', 'etc', 'coefficient', 'with', 'solutions', 'to', 'corresponding', 'homogenized', 'problems', 'obtained', 'from', 'twoscale', 'extensions', 'of', 'the', 'initial', 'coefficient', 'the', 'comparison', 'is', 'done', 'numerically', 'on', 'several', 'one', 'and', 'two', 'dimensional', 'test', 'problems', 'with', 'randomly', 'generated', 'coefficients', 'for', 'different', 'intensities', 'of', 'oscillation', 'the', 'dependency', 'of', 'the', 'approximation', 'error', 'on', 'the', 'size', 'of', 'averaging', 'is', 'investigated']] | [-0.08302015651447268, 0.07953989236937979, -0.027066592367079395, 0.03427992819342762, -0.04121329861048322, -0.10998255434231116, -0.012798239964132126, 0.3668671683623241, -0.30351845636390723, -0.25262566592830876, 0.1502661696402356, -0.32825440764427183, -0.08793416129281888, 0.24138196966109368, -0.02113633372176152, 0.13350944875811155, 0.07774323772710677, 0.04249567885238391, -0.08801316098811535, -0.26679911020283514, 0.33505062009207903, -0.007540934704817258, 0.2838901261297556, 0.005742637096689297, 0.11949314118291322, -0.039851456761467625, -0.039651684801524076, 0.10012305211992217, -0.17581231025978922, 0.1245566813633419, 0.22583915519599732, 0.011764684233527917, 0.24235772266983985, -0.3988877615533196, -0.2086156368112335, 0.06849287824275402, 0.11943439252388019, 0.09058709912575208, -0.02222407517883067, -0.23092511451373307, 0.08624044109601528, -0.10691127951901692, -0.15824820462327738, -0.031165506644174456, 0.007340646544113182, 0.06054861001097239, -0.3210591391302072, 0.12765030906481956, -0.020037594337302903, 0.06837229707206671, -0.11164507900293057, -0.1717597877105268, 0.05019253702977529, 0.09053319728431794, 0.12523400327190756, -0.07619855887471483, 0.07984234965048158, -0.11647601371704905, -0.07376784945909794, 0.3707737820366254, -0.08633993107538956, -0.26455025346233296, 0.18915985285376127, -0.11830984418495344, -0.061208901052864695, 0.11479799432250169, 0.20283714078653317, 0.1379854324631966, -0.14006037816691858, 0.07576424777418232, -0.028811948026458804, 0.17307679454007974, 0.15984193353125684, -0.04755307956097218, 0.08868200650008826, 0.1503871439741208, 0.049031385123872985, 0.17103476133197545, -0.04488968443698608, -0.10324410752464945, -0.2670633734848637, -0.07697997831094723, -0.1836626451032666, 0.04918107957794116, -0.14016960532597014, -0.20398472079362434, 0.44082679461974367, 0.17360127249714705, 0.2008309575729072, 0.05875520362303807, 0.2664233149530796, 0.16818694108380722, 0.015114662137169105, 0.0466989710335978, 0.2266991079140168, 0.1738527723086568, 0.13717021751575745, -0.2344868206884712, 0.040216622573251905, 0.12600908415535322] |
710.2073 | On coincidence of Alday-Maldacena-regularized $\sigma$-model and
Nambu-Goto areas of minimal surfaces | For the $\sigma$-model and Nambu-Goto actions, values of the
Alday-Maldacena-regularized actions are calculated on solutions of the
equations of motion with constant non-regularized Lagrangian. It turns out that
these values coincide up to a factor, independent of boundary conditions.
| hep-th | for the sigmamodel and nambugoto actions values of the aldaymaldacenaregularized actions are calculated on solutions of the equations of motion with constant nonregularized lagrangian it turns out that these values coincide up to a factor independent of boundary conditions | [['for', 'the', 'sigmamodel', 'and', 'nambugoto', 'actions', 'values', 'of', 'the', 'aldaymaldacenaregularized', 'actions', 'are', 'calculated', 'on', 'solutions', 'of', 'the', 'equations', 'of', 'motion', 'with', 'constant', 'nonregularized', 'lagrangian', 'it', 'turns', 'out', 'that', 'these', 'values', 'coincide', 'up', 'to', 'a', 'factor', 'independent', 'of', 'boundary', 'conditions']] | [-0.15437910833248966, 0.13039818327677877, -0.06504393023389735, 0.003941535680113654, -0.06407063056739341, -0.12438347962635912, 0.03857377137204534, 0.33436337829028306, -0.21834033943320574, -0.27594374830981616, 0.12264720539219286, -0.2914373300185329, -0.1008231827106915, 0.19535682669007465, -0.02648547446159156, 0.0749400210096562, 0.07090749587912701, 0.10928170074169573, -0.11945871101373709, -0.2720636309547301, 0.3485363121879728, 0.01699747552016848, 0.21797204341151213, 0.0007097199191584399, 0.17771284255248151, -0.09444194582388982, -0.012160628519364093, 0.07207734516429666, -0.16353518766520306, 0.07387199034335361, 0.20208210244431699, 0.008541918122079406, 0.18266230919643453, -0.37968125870745434, -0.20215012738481164, 0.06144481732534539, 0.0756047020151623, 0.0880117072282653, 0.09573734797672123, -0.30369594413787127, 0.09889071793785613, -0.09191431982540771, -0.1862548289477433, -0.11141191984183695, 0.047261869681901054, 0.005120232652284597, -0.28055311842380387, 0.060214423378439325, 0.006167145813570211, -0.004868563374896583, -0.16944906486222813, -0.13754928933064403, -0.0472125691043115, 0.15805932814500442, 0.15798652254804774, 0.03140201773739567, 0.13773448542250613, -0.18614706169127634, -0.07244444036807277, 0.4129895766902911, -0.07602757825761249, -0.3043004574352189, 0.13307001998672555, -0.12910654077208356, -0.11744682240839067, 0.1707904955715333, 0.10026636459913693, 0.17741086038662807, -0.15333306478140385, 0.1298251649790664, -0.042521592520643026, 0.10750887053942088, 0.1388010932990399, -0.023261150553528415, 0.17783805384839835, 0.02907617456328712, 0.10014981315716316, 0.06891886090957805, 0.03991016154300029, -0.1901800616056119, -0.4055191117681955, -0.08600280759856105, -0.06495123140906033, 0.11976018400960847, -0.17959575788814905, -0.18255222161104412, 0.34476325989357737, 0.1428939771323808, 0.1901263947794704, 0.11065888836195595, 0.18758468388726837, 0.18770646414180336, 0.09483536786865443, 0.08420749197370912, 0.23756233225331494, 0.14882125810867078, 0.001687360351513091, -0.2326051191745424, -0.031534477161537657, 0.14159339269329058] |
710.2074 | Noncommutative Solitons | Solitonic objects play a central role in gauge and string theory (as, e.g.,
monopoles, black holes, D-branes, etc.). Certain string backgrounds produce a
noncommutative deformation of the low-energy effective field theory, which
allows for new types of solitonic solutions. I present the construction, moduli
spaces and dynamics of Moyal-deformed solitons, exemplified in the 2+1
dimensional Yang-Mills-Higgs theory and its Bogomolny system, which is
gauge-fixed to an integrable chiral sigma model (the Ward model).
Noncommutative solitons for various 1+1 dimensional integrable systems (such as
sine-Gordon) easily follow by dimensional and algebraic reduction.
Supersymmetric extensions exist as well and are related to twistor string
theory.
| hep-th | solitonic objects play a central role in gauge and string theory as eg monopoles black holes dbranes etc certain string backgrounds produce a noncommutative deformation of the lowenergy effective field theory which allows for new types of solitonic solutions i present the construction moduli spaces and dynamics of moyaldeformed solitons exemplified in the 21 dimensional yangmillshiggs theory and its bogomolny system which is gaugefixed to an integrable chiral sigma model the ward model noncommutative solitons for various 11 dimensional integrable systems such as sinegordon easily follow by dimensional and algebraic reduction supersymmetric extensions exist as well and are related to twistor string theory | [['solitonic', 'objects', 'play', 'a', 'central', 'role', 'in', 'gauge', 'and', 'string', 'theory', 'as', 'eg', 'monopoles', 'black', 'holes', 'dbranes', 'etc', 'certain', 'string', 'backgrounds', 'produce', 'a', 'noncommutative', 'deformation', 'of', 'the', 'lowenergy', 'effective', 'field', 'theory', 'which', 'allows', 'for', 'new', 'types', 'of', 'solitonic', 'solutions', 'i', 'present', 'the', 'construction', 'moduli', 'spaces', 'and', 'dynamics', 'of', 'moyaldeformed', 'solitons', 'exemplified', 'in', 'the', '21', 'dimensional', 'yangmillshiggs', 'theory', 'and', 'its', 'bogomolny', 'system', 'which', 'is', 'gaugefixed', 'to', 'an', 'integrable', 'chiral', 'sigma', 'model', 'the', 'ward', 'model', 'noncommutative', 'solitons', 'for', 'various', '11', 'dimensional', 'integrable', 'systems', 'such', 'as', 'sinegordon', 'easily', 'follow', 'by', 'dimensional', 'and', 'algebraic', 'reduction', 'supersymmetric', 'extensions', 'exist', 'as', 'well', 'and', 'are', 'related', 'to', 'twistor', 'string', 'theory']] | [-0.138038362340224, 0.16759915475960194, -0.06670112665109698, 0.20426871394851578, -0.08623410062412325, -0.18649158626342716, -0.07913619623230138, 0.27760884755300086, -0.20172070661216107, -0.25225813648871426, 0.12032624134043395, -0.25018981701563886, -0.20758169839267157, 0.13315439582305047, -0.0796500645460362, 0.05116457839042075, -0.049747760317206964, 0.05441383019912518, -0.08323416397319112, -0.2505745475894762, 0.3697084519758965, -0.013100883010232333, 0.27068131698467274, -0.0003568392916067133, 0.10892695203893682, 0.04003430958622524, 0.01961638471473334, 0.024987401314152096, -0.13878925022831892, 0.1133607849094438, 0.2742479639653415, 0.028589300840677134, 0.07283704114164614, -0.4593624690077403, -0.25605105152732277, 0.08204462680766739, 0.2075394118588714, 0.1777842786757601, -0.036433486903122474, -0.31641367679118243, 0.03258888389083367, -0.19890761538182647, -0.20766960074153087, -0.14190244102326122, 0.05560620559279997, -0.016345497478450675, -0.1828399685401361, 0.06042684296917993, 0.05663899869716826, 0.04321230674903948, -0.11041712107586683, -0.04326529745396805, -0.0881780756228305, 0.03851443132186688, 0.09729452124679262, 0.08408567799002077, 0.1368615169313203, -0.1749390034457568, -0.18670587513586778, 0.3838462655441564, -0.05993328184495201, -0.25501687321992755, 0.16156231187898845, -0.05744138359345351, -0.17165186666223464, 0.10140292529577336, 0.11039477635120738, 0.1532592685617398, -0.09857556178207391, 0.2315824290808715, -0.04091598866597831, 0.10645376821613681, 0.12306399232463784, 0.08906993448499193, 0.31593298978054696, 0.12152887277702973, 0.01566206018250544, 0.11409926630592751, 0.009107628335398667, -0.19684236145576064, -0.3932241987690185, -0.12761511011032198, -0.058103498193498665, 0.13507204435938672, -0.1410300343525449, -0.22500677974623384, 0.34725361477891076, 0.08155644214000028, 0.14348510880638093, 0.00820534840877195, 0.12088414236584037, 0.10546150794637037, 0.054389360021727465, 0.018663552793158778, 0.18812103188840798, 0.22796207451424336, 0.11014046077842563, -0.18970747686215017, -0.25290584599020555, 0.25097837084361796] |
710.2075 | Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of
Gravity | A deformed Schwarzschild solution in noncommutative gauge theory of
gravitation is obtained. The gauge potentials (tetrad fields) are determined up
to the second order in the noncommutativity parameters $\Theta^{\mu\nu}$. A
deformed real metric is defined and its components are obtained. The
noncommutativity correction to the red shift test of General Relativity is
calculated and it is concluded that the correction is too small to have
observable effects. Implications of such a deformed Schwarzschild metric are
also mentioned.
| hep-th gr-qc | a deformed schwarzschild solution in noncommutative gauge theory of gravitation is obtained the gauge potentials tetrad fields are determined up to the second order in the noncommutativity parameters thetamunu a deformed real metric is defined and its components are obtained the noncommutativity correction to the red shift test of general relativity is calculated and it is concluded that the correction is too small to have observable effects implications of such a deformed schwarzschild metric are also mentioned | [['a', 'deformed', 'schwarzschild', 'solution', 'in', 'noncommutative', 'gauge', 'theory', 'of', 'gravitation', 'is', 'obtained', 'the', 'gauge', 'potentials', 'tetrad', 'fields', 'are', 'determined', 'up', 'to', 'the', 'second', 'order', 'in', 'the', 'noncommutativity', 'parameters', 'thetamunu', 'a', 'deformed', 'real', 'metric', 'is', 'defined', 'and', 'its', 'components', 'are', 'obtained', 'the', 'noncommutativity', 'correction', 'to', 'the', 'red', 'shift', 'test', 'of', 'general', 'relativity', 'is', 'calculated', 'and', 'it', 'is', 'concluded', 'that', 'the', 'correction', 'is', 'too', 'small', 'to', 'have', 'observable', 'effects', 'implications', 'of', 'such', 'a', 'deformed', 'schwarzschild', 'metric', 'are', 'also', 'mentioned']] | [-0.15409659235677742, 0.17093084159295086, -0.10495694544069566, 0.14177543161340156, -0.12177465111017227, -0.14317767320853936, -0.08219818757127294, 0.3414386847637013, -0.21686590262144417, -0.2721848737648023, 0.03939444946983902, -0.27600438101821906, -0.14021450652462708, 0.1539572397513049, -0.09846967508919634, 0.025675959581986988, -0.003036370246925137, 0.10390956923607494, -0.13526576655529826, -0.2516448807648637, 0.35601665515621955, 0.08938627555821237, 0.20219740308760725, 0.011903509793972427, 0.09997867912586246, -0.07332615353251723, -0.03259364980599516, 0.07516347813456283, -0.09258501012115997, 0.06336717169229909, 0.19778925487650678, 0.09483532160036749, 0.18609542815716235, -0.3096054791194665, -0.2070521783543291, 0.053520623618712675, 0.09104296164405713, 0.14763731219164736, -0.026378213319104987, -0.34431572236701263, 0.03944535653844669, -0.19142975923060984, -0.1822659700365084, -0.10374039727226868, 0.07524683448038512, -0.06425366403123775, -0.24095155971197338, 0.05752256808631642, 0.021530310649049842, -0.00015268171230306874, -0.09488033524611603, -0.07904567157958525, -0.04469642126569887, 0.10573786492882804, 0.12660625417015287, 0.07467167930338871, 0.1762456526229908, -0.07285595434875071, -0.048150949796976206, 0.46385801748021854, -0.04356243137977776, -0.27989106929018887, 0.06155374497417119, -0.19705766801081306, -0.11657220152412336, 0.07528179326524063, 0.09739358135946578, 0.18132701260944853, -0.1415561995130371, 0.21144919674208557, 0.03149707229541881, 0.12890185962140852, 0.1291892842220312, 0.027835865799101772, 0.21074946892338914, 0.06191482428799976, -0.004359777304045282, 0.10112603850565947, -0.03144461313238392, -0.15071413964758834, -0.40531691023475164, -0.10946845119915806, -0.1824190967909798, 0.07210655641355007, -0.15976068045446565, -0.18069690067393632, 0.32257869113962373, 0.11009585471557719, 0.13449065708676233, 0.00893264820242857, 0.24242172122316122, 0.16265552483692572, 0.10628291620425397, 0.016807688986761618, 0.3753706342601157, 0.2115011024772637, 0.05986744800413197, -0.20166540071829342, -0.059500155256843414, 0.09767987874227685] |
710.2076 | Asymmetric weak-pinning superconducting channels: vortex ratchets | The controlled motion of objects through narrow channels is important in many
fields. We have fabricated asymmetric weak-pinning channels in a
superconducting thin-film strip for controlling the dynamics of vortices. The
lack of pinning allows the vortices to move through the channels with the
dominant interaction determined by the shape of the channel walls. We present
measurements of vortex dynamics in the channels and compare these with similar
measurements on a set of uniform-width channels. While the uniform-width
channels exhibit a symmetric response for both directions through the channel,
the vortex motion through the asymmetric channels is quite different, with
substantial asymmetries in both the static depinning and dynamic flux flow.
This vortex ratchet effect has a rich dependence on magnetic field and driving
force amplitude.
| cond-mat.supr-con | the controlled motion of objects through narrow channels is important in many fields we have fabricated asymmetric weakpinning channels in a superconducting thinfilm strip for controlling the dynamics of vortices the lack of pinning allows the vortices to move through the channels with the dominant interaction determined by the shape of the channel walls we present measurements of vortex dynamics in the channels and compare these with similar measurements on a set of uniformwidth channels while the uniformwidth channels exhibit a symmetric response for both directions through the channel the vortex motion through the asymmetric channels is quite different with substantial asymmetries in both the static depinning and dynamic flux flow this vortex ratchet effect has a rich dependence on magnetic field and driving force amplitude | [['the', 'controlled', 'motion', 'of', 'objects', 'through', 'narrow', 'channels', 'is', 'important', 'in', 'many', 'fields', 'we', 'have', 'fabricated', 'asymmetric', 'weakpinning', 'channels', 'in', 'a', 'superconducting', 'thinfilm', 'strip', 'for', 'controlling', 'the', 'dynamics', 'of', 'vortices', 'the', 'lack', 'of', 'pinning', 'allows', 'the', 'vortices', 'to', 'move', 'through', 'the', 'channels', 'with', 'the', 'dominant', 'interaction', 'determined', 'by', 'the', 'shape', 'of', 'the', 'channel', 'walls', 'we', 'present', 'measurements', 'of', 'vortex', 'dynamics', 'in', 'the', 'channels', 'and', 'compare', 'these', 'with', 'similar', 'measurements', 'on', 'a', 'set', 'of', 'uniformwidth', 'channels', 'while', 'the', 'uniformwidth', 'channels', 'exhibit', 'a', 'symmetric', 'response', 'for', 'both', 'directions', 'through', 'the', 'channel', 'the', 'vortex', 'motion', 'through', 'the', 'asymmetric', 'channels', 'is', 'quite', 'different', 'with', 'substantial', 'asymmetries', 'in', 'both', 'the', 'static', 'depinning', 'and', 'dynamic', 'flux', 'flow', 'this', 'vortex', 'ratchet', 'effect', 'has', 'a', 'rich', 'dependence', 'on', 'magnetic', 'field', 'and', 'driving', 'force', 'amplitude']] | [-0.22285890927718532, 0.174873199595529, -0.07147783226513814, -0.003699698882560516, -0.03870149971466632, -0.14667984952158744, 0.05034843764846183, 0.40827903397861987, -0.25642262648550734, -0.26622002978899306, 0.06993347096196827, -0.242614004349889, -0.0878149370527676, 0.19374029028920398, 0.023360034627389285, 0.027372793793948667, 0.02206712018608326, -0.011018747046980406, -0.008618185093866722, -0.13383663499975698, 0.3185140651257825, 0.011082294716259404, 0.33765892147447074, 0.061563037636299285, 0.07631260460062374, 0.018482526910731628, -0.004575835831928998, 0.0379443108404596, -0.15095860715354642, 0.030638319496516016, 0.16497450356133236, -0.04707541542208468, 0.1629784865973277, -0.4839838556044044, -0.2281277218397947, 0.06923339247418146, 0.18590687674605438, 0.1439084975751147, -0.08402847108288458, -0.31176292329215477, 0.03849046334113565, -0.10785065128114976, -0.08392193370344748, -0.022573834255097375, 0.06416925915700925, 0.06904229946808153, -0.2550251114167153, 0.08253647260097487, 0.05126851774665767, 0.06146910894782313, -0.05454122090210853, -0.08366538119697643, -0.022634431774232296, 0.12561143034948938, 0.03425583156997398, 0.005190263765173093, 0.20308364631097403, -0.20883641323878752, -0.13196391967545834, 0.33764599157016606, -0.06305825896748912, -0.21680873249833013, 0.18288929586865818, -0.17706314292961672, -0.00969416750071574, 0.20302598990665208, 0.19527140885381208, 0.0792587794018008, -0.15030427658629994, 0.014845541815908116, -0.03492123871898999, 0.11151383851275538, 0.046056263629467256, 0.06097851145351606, 0.26233434456310445, 0.1925327216214951, 0.03234236295505862, 0.19075613597693342, -0.17501775983668444, -0.1358641724462711, -0.2807782355004982, -0.10329469657059939, -0.11767122382298112, -0.019709741796231677, -0.05304481171697262, -0.14819179399637505, 0.4134425021362521, 0.12984232389323053, 0.20863936797667842, -0.04229340151763491, 0.2829551267768106, 0.07880911219505041, 0.11600470298811072, 0.06497416065934475, 0.26710627503287526, 0.19989601390684145, 0.15133005648197967, -0.2830964539034833, 0.06226119586086321, -0.0690568215326376] |
710.2077 | Towards Phonon Spectrum of Graphene | It is shown that the nearest neighbor coupling between the carbon atoms is
not enough to reproduce the phonon spectrum as observed in graphene, the second
neighbor force constant is essential. For completeness we have rederived the
phonon spectrum of one dimensional chains and two dimensional lattices like
square lattice and triangular lattice with nearest and next nearest neighbor
coupling among the atoms. This article is essentially an account of the
technical details of a review talk on phonon spectrum of graphene presented at
Institute of Physics.
| cond-mat.mtrl-sci | it is shown that the nearest neighbor coupling between the carbon atoms is not enough to reproduce the phonon spectrum as observed in graphene the second neighbor force constant is essential for completeness we have rederived the phonon spectrum of one dimensional chains and two dimensional lattices like square lattice and triangular lattice with nearest and next nearest neighbor coupling among the atoms this article is essentially an account of the technical details of a review talk on phonon spectrum of graphene presented at institute of physics | [['it', 'is', 'shown', 'that', 'the', 'nearest', 'neighbor', 'coupling', 'between', 'the', 'carbon', 'atoms', 'is', 'not', 'enough', 'to', 'reproduce', 'the', 'phonon', 'spectrum', 'as', 'observed', 'in', 'graphene', 'the', 'second', 'neighbor', 'force', 'constant', 'is', 'essential', 'for', 'completeness', 'we', 'have', 'rederived', 'the', 'phonon', 'spectrum', 'of', 'one', 'dimensional', 'chains', 'and', 'two', 'dimensional', 'lattices', 'like', 'square', 'lattice', 'and', 'triangular', 'lattice', 'with', 'nearest', 'and', 'next', 'nearest', 'neighbor', 'coupling', 'among', 'the', 'atoms', 'this', 'article', 'is', 'essentially', 'an', 'account', 'of', 'the', 'technical', 'details', 'of', 'a', 'review', 'talk', 'on', 'phonon', 'spectrum', 'of', 'graphene', 'presented', 'at', 'institute', 'of', 'physics']] | [-0.11535628584090449, 0.13636007592039873, 0.01345950121263406, 0.036064543342485426, -0.052142404041242325, -0.1790318746171924, 0.05955361436795572, 0.4325733735365258, -0.25857815527539146, -0.2225129762985583, 0.061239229171301354, -0.33949993441587895, -0.11484754685522927, 0.14142187205196796, 0.09475617103235817, -0.04104040478538165, 0.05344797986634504, 0.05839143511464541, 0.00035677636416907283, -0.28529689721120843, 0.28677905159172784, 0.1062544220148575, 0.286884144398159, 0.1057243531799993, 0.06268594412925257, 0.050844229040560365, 0.03623686600262406, -0.010162955642431632, -0.1509108148952953, 0.14598325034068232, 0.20423311995470833, -0.07237317516393531, 0.22990081769724688, -0.4087345624535248, -0.15465327395238623, 0.060106932431801985, 0.13715939893890386, 0.16739803914451737, -0.010400205653230393, -0.22823586904754242, 0.009655057570372504, -0.1477022323243577, -0.13779790811882964, -0.07018691145456342, 0.04383570165641006, 0.03392708556548732, -0.209743018395899, 0.06223631705874684, 0.08988599074554854, 0.07353576031866772, -0.02810537056654863, -0.1495982570220427, -0.028082256510468393, 0.11374248011337443, 0.0239551380576416, 0.020007204441032534, 0.08158011777037434, -0.07397499717935925, -0.10124848443672232, 0.48856692534239815, -0.06687587586327873, -0.10141534362544959, 0.20375813967708883, -0.1592658864850735, -0.1286103182750615, 0.08607182769511623, 0.12002945490095807, 0.028273064148044962, -0.19083170806882024, 0.12794572894057343, -0.02332508815559505, 0.18071426072254262, 0.05693243352974626, 0.07131777124094038, 0.2303101670575039, 0.17674512560639916, 0.08103355485143075, 0.11820255444738371, -0.11862798063512678, -0.10040769021658377, -0.2702569641151476, -0.14032545673457542, -0.30573248610585585, 0.026233152216253535, -0.05991508154383855, -0.16544792528870386, 0.3975326723108689, 0.11466968574844857, 0.17069242889430888, -0.013716847017600104, 0.23941269069481855, 0.09058575716335326, 0.0821558133051356, 0.033035681307337236, 0.27152660220390423, 0.19507227279245853, 0.06428844832558313, -0.24128943129647362, -0.029343972956740308, 0.12182944204829547] |
710.2078 | On Direct Verification of Warped Hierarchy-and-Flavor Models | We consider direct experimental verification of warped models, based on the
Randall-Sundrum (RS) scenario, that explain gauge and flavor hierarchies,
assuming that the gauge fields and fermions of the Standard Model (SM)
propagate in the 5D bulk. Most studies have focused on the bosonic Kaluza Klein
(KK) signatures and indicate that discovering gauge KK modes is likely
possible, yet challenging, while graviton KK modes are unlikely to be
accessible at the LHC, even with a luminosity upgrade. We show that direct
evidence for bulk SM fermions, {\it i.e.} their KK modes, is likely also beyond
the reach of a luminosity-upgraded LHC. Thus, neither the spin-2 KK graviton,
the most distinct RS signal, nor the KK SM fermions, direct evidence for bulk
flavor, seem to be within the reach of the LHC. We then consider hadron
colliders with $\sqrt{s} =$ 21, 28, and 60 TeV. We find that discovering the
first KK modes of SM fermions and the graviton typically requires the Next
Hadron Collider (NHC) with $\sqrt{s} \approx 60$ TeV and ${\cal O}(1)$
ab$^{-1}$ of integrated luminosity. If the LHC yields hints of these warped
models, establishing that Nature is described by them, or their 4D CFT duals,
requires an NHC-class machine in the post-LHC experimental program.
| hep-ph | we consider direct experimental verification of warped models based on the randallsundrum rs scenario that explain gauge and flavor hierarchies assuming that the gauge fields and fermions of the standard model sm propagate in the 5d bulk most studies have focused on the bosonic kaluza klein kk signatures and indicate that discovering gauge kk modes is likely possible yet challenging while graviton kk modes are unlikely to be accessible at the lhc even with a luminosity upgrade we show that direct evidence for bulk sm fermions it ie their kk modes is likely also beyond the reach of a luminosityupgraded lhc thus neither the spin2 kk graviton the most distinct rs signal nor the kk sm fermions direct evidence for bulk flavor seem to be within the reach of the lhc we then consider hadron colliders with sqrts 21 28 and 60 tev we find that discovering the first kk modes of sm fermions and the graviton typically requires the next hadron collider nhc with sqrts approx 60 tev and cal o1 ab1 of integrated luminosity if the lhc yields hints of these warped models establishing that nature is described by them or their 4d cft duals requires an nhcclass machine in the postlhc experimental program | [['we', 'consider', 'direct', 'experimental', 'verification', 'of', 'warped', 'models', 'based', 'on', 'the', 'randallsundrum', 'rs', 'scenario', 'that', 'explain', 'gauge', 'and', 'flavor', 'hierarchies', 'assuming', 'that', 'the', 'gauge', 'fields', 'and', 'fermions', 'of', 'the', 'standard', 'model', 'sm', 'propagate', 'in', 'the', '5d', 'bulk', 'most', 'studies', 'have', 'focused', 'on', 'the', 'bosonic', 'kaluza', 'klein', 'kk', 'signatures', 'and', 'indicate', 'that', 'discovering', 'gauge', 'kk', 'modes', 'is', 'likely', 'possible', 'yet', 'challenging', 'while', 'graviton', 'kk', 'modes', 'are', 'unlikely', 'to', 'be', 'accessible', 'at', 'the', 'lhc', 'even', 'with', 'a', 'luminosity', 'upgrade', 'we', 'show', 'that', 'direct', 'evidence', 'for', 'bulk', 'sm', 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710.2079 | The yoga of the Cassels-Tate pairing | Cassels has described a pairing on the 2-Selmer group of an elliptic curve
which shares some properties with the Cassels-Tate pairing. In this article, we
prove that the two pairings are the same.
| math.NT | cassels has described a pairing on the 2selmer group of an elliptic curve which shares some properties with the casselstate pairing in this article we prove that the two pairings are the same | [['cassels', 'has', 'described', 'a', 'pairing', 'on', 'the', '2selmer', 'group', 'of', 'an', 'elliptic', 'curve', 'which', 'shares', 'some', 'properties', 'with', 'the', 'casselstate', 'pairing', 'in', 'this', 'article', 'we', 'prove', 'that', 'the', 'two', 'pairings', 'are', 'the', 'same']] | [-0.2812453314774867, 0.09421824674152021, -0.22062085719186475, 0.08935990050138737, -0.06756791195860415, -0.10975769400653063, -0.04040489024059339, 0.3233420086855238, -0.31632365354082803, -0.20890891032688547, 0.0367506843476528, -0.31710497097987117, -0.1346127609298988, 0.2211078634542046, -0.11744056543278875, -0.0380920646147746, -0.03390963478578311, 0.10579266252391266, -0.14449354951890805, -0.3620762254929904, 0.4420706109341347, -0.06652616099877791, 0.2616203392884045, 0.062416704428015335, 0.031455815501623983, 0.057853038482734875, 0.05556673824674252, -0.03335888353599743, -0.13726528009481792, 0.1610064638044798, 0.2609761209424698, -0.026074601499589557, 0.20743388174609703, -0.34524470138730423, -0.20163072290068323, 0.15660871756545297, 0.12289271897735131, 0.045470609848218206, -0.05131208021405407, -0.21328143682330847, 0.09798007263717326, -0.23574632592499256, -0.18132192277434198, -0.041028171996444915, 0.010009972717274319, 0.0858831408461838, -0.17234302766508225, -0.033524945716966285, 0.12171405068401134, 0.14355465676635504, -0.051883811907221876, -0.1603433433920145, -0.015167618057493008, 0.06065587970343503, 0.10367963412268595, 0.00481510924344713, 0.004904655147005211, -0.12495245727371763, -0.09072273165326226, 0.3528424297586422, -0.037490440948838084, -0.15138132185816314, 0.10470337223148707, -0.09993287816530827, -0.15919491164668492, 0.05245939298589347, 0.07131999132759644, 0.08913628836021278, -0.08587589905117497, 0.11270582856576022, -0.21671723822752634, 0.14111274548552252, 0.02450983284154173, 0.020288648097916986, 0.10759448130248171, 0.07122060230396914, 0.06463943828235973, 0.11852585295723243, -0.03931756878525696, -0.06864711831352024, -0.34552157822657714, -0.1844342810130029, -0.15912328028317654, 0.05385209642576449, -0.03870342959734527, -0.1629149020847046, 0.4690400393623294, 0.07369960788072961, 0.24618009511720051, 0.047653906107315736, 0.17611600224380242, 0.12072276995714867, 0.05128211274065755, 0.10712124887063648, 0.17477818594444683, 0.1442797973921353, -0.003845787677688129, -0.2642392422439474, 0.06287066837434065, 0.16398213665480865] |
710.208 | The classification of simple Jacobi--Ricci commuting algebraic curvature
tensors | We classify algebraic curvature tensors such that the Ricci operator is
simple (i.e. the Ricci operator is complex diagonalizable and either the
complex spectrum consists of a single real eigenvalue or the complex spectrum
consists of a pair of eigenvalues which are complex conjugates of each other)
and which are Jacobi--Ricci commuting (i.e. the Ricci operator commutes with
the Jacobi operator of any vector).
| math.DG | we classify algebraic curvature tensors such that the ricci operator is simple ie the ricci operator is complex diagonalizable and either the complex spectrum consists of a single real eigenvalue or the complex spectrum consists of a pair of eigenvalues which are complex conjugates of each other and which are jacobiricci commuting ie the ricci operator commutes with the jacobi operator of any vector | [['we', 'classify', 'algebraic', 'curvature', 'tensors', 'such', 'that', 'the', 'ricci', 'operator', 'is', 'simple', 'ie', 'the', 'ricci', 'operator', 'is', 'complex', 'diagonalizable', 'and', 'either', 'the', 'complex', 'spectrum', 'consists', 'of', 'a', 'single', 'real', 'eigenvalue', 'or', 'the', 'complex', 'spectrum', 'consists', 'of', 'a', 'pair', 'of', 'eigenvalues', 'which', 'are', 'complex', 'conjugates', 'of', 'each', 'other', 'and', 'which', 'are', 'jacobiricci', 'commuting', 'ie', 'the', 'ricci', 'operator', 'commutes', 'with', 'the', 'jacobi', 'operator', 'of', 'any', 'vector']] | [-0.22916221494476, 0.13250313245410483, -0.012032027637201643, 0.01719828389422406, -0.16726282687251648, -0.186211418463952, -0.16417798501927228, 0.34419587987755973, -0.2980579087244613, -0.1470490698185232, 0.11847560993942713, -0.3684572199034312, -0.17332131775199539, 0.1011148171225888, -0.012516872177550953, 0.028357199614956266, 0.08637911700717514, 0.2062147097100341, -0.08337679227799295, -0.16044845485631082, 0.513672233751369, -0.050565467363903445, 0.1822268970510257, 0.05950341334876915, 0.15248872384074189, -0.01568403440187611, -0.00391652839930935, -0.030328381141381606, 0.001963422910309404, 0.12681914459440916, 0.21948880758432168, 0.11632406072957176, 0.19246561937625445, -0.37361235674175003, -0.18922089021061622, 0.26712872240219326, 0.13960070868155786, -0.026843404670852045, 0.01653131413170033, -0.2775010844869983, 0.11085822672346636, -0.09181143216315717, -0.1383873112619825, -0.09721107080224015, 0.00424218810503445, -0.006755467223387862, -0.2974787946376536, 0.09444587423451363, 0.08589627652887315, 0.07423656583127994, -0.08214327231759116, -0.12052718727176802, -0.10032974554610158, 0.09038914308794552, -0.03140047113485043, -0.025199959187635353, 0.11675482514565663, -0.04443182445146025, -0.08014535871408289, 0.36207928005901596, -0.07525370398625023, -0.28385334376186605, 0.11498038423439813, -0.11229184905569704, -0.08747981624707343, 0.09018680152838074, 0.11767375564927028, 0.19204283647593998, -0.08984227503265535, 0.1914990419237357, -0.07833185281959318, 0.08347233154234432, 0.058345529576948295, -0.013932872112722152, 0.12267795518513709, 0.02788397196739439, 0.13772033033744682, 0.08593011425811768, 0.05507973052324757, -0.12241686166574557, -0.33086738439779434, -0.23047443059095668, -0.2108832545844572, 0.13650425313602363, -0.17225390453850628, -0.22761642507144383, 0.5196170358667298, -0.02986466105554312, 0.26148705409159734, 0.09223198611658835, 0.2960171659905759, 0.1719336850117774, 0.10701300372325238, 0.10652150720771816, 0.15828259833275327, 0.19388109983669388, 0.05587189821969895, -0.18451003397681884, -0.06390030950396544, 0.1425354012716857] |
710.2081 | A semigroup approach to wreath-product extensions of Solomon's descent
algebras | There is a well-known combinatorial definition, based on ordered set
partitions, of the semigroup of faces of the braid arrangement. We generalize
this definition to obtain a semigroup Sigma_n^G associated with G wr S_n, the
wreath product of the symmetric group S_n with an arbitrary group G. Techniques
of Bidigare and Brown are adapted to construct an anti-homomorphism from the
S_n-invariant subalgebra of the semigroup algebra of Sigma_n^G into the group
algebra of G wr S_n. The generalized descent algebras of Mantaci and Reutenauer
are obtained as homomorphic images when G is abelian.
| math.RA math.CO | there is a wellknown combinatorial definition based on ordered set partitions of the semigroup of faces of the braid arrangement we generalize this definition to obtain a semigroup sigma_ng associated with g wr s_n the wreath product of the symmetric group s_n with an arbitrary group g techniques of bidigare and brown are adapted to construct an antihomomorphism from the s_ninvariant subalgebra of the semigroup algebra of sigma_ng into the group algebra of g wr s_n the generalized descent algebras of mantaci and reutenauer are obtained as homomorphic images when g is abelian | [['there', 'is', 'a', 'wellknown', 'combinatorial', 'definition', 'based', 'on', 'ordered', 'set', 'partitions', 'of', 'the', 'semigroup', 'of', 'faces', 'of', 'the', 'braid', 'arrangement', 'we', 'generalize', 'this', 'definition', 'to', 'obtain', 'a', 'semigroup', 'sigma_ng', 'associated', 'with', 'g', 'wr', 's_n', 'the', 'wreath', 'product', 'of', 'the', 'symmetric', 'group', 's_n', 'with', 'an', 'arbitrary', 'group', 'g', 'techniques', 'of', 'bidigare', 'and', 'brown', 'are', 'adapted', 'to', 'construct', 'an', 'antihomomorphism', 'from', 'the', 's_ninvariant', 'subalgebra', 'of', 'the', 'semigroup', 'algebra', 'of', 'sigma_ng', 'into', 'the', 'group', 'algebra', 'of', 'g', 'wr', 's_n', 'the', 'generalized', 'descent', 'algebras', 'of', 'mantaci', 'and', 'reutenauer', 'are', 'obtained', 'as', 'homomorphic', 'images', 'when', 'g', 'is', 'abelian']] | [-0.143920766769184, 0.09232992372870083, -0.11406341066790951, 0.02265064132322247, -0.15591094403838118, -0.10455869669094682, 0.005351475729710526, 0.3743108297387759, -0.3526614466475116, -0.22242748257186679, 0.12179864268336031, -0.26026711640879513, -0.08550667002693646, 0.18226052549564176, -0.17772610138894784, -0.07997800860450499, 0.07389696430828836, 0.1530713972920138, -0.11186674176060478, -0.24799451443056267, 0.3987318613876899, -0.038842754338919705, 0.20370024662050937, -0.06017050944630885, 0.09602148212078544, 0.012635033246543673, -0.07736915764398873, -0.027173987900217373, -0.14656412507821287, 0.09934116081955532, 0.26398870491733156, 0.11606114625723826, 0.18094884502804942, -0.3285487374911706, -0.06694366361997607, 0.20314063321178158, 0.13540570930474335, -0.04516349314815468, -0.0484937390894629, -0.3301189678410689, 0.11741830288018618, -0.25657879136657963, -0.09489517190700604, -0.02749228895538383, 0.10898570415900193, 0.0028129378204337424, -0.28823997310052313, -0.00900199266616255, 0.1020313955998669, 0.1394499234130813, -0.004040146145659188, -0.14281097507207757, -0.07993518923467491, 0.08113878212461714, -0.05605676664142973, 0.053636590619054104, 0.11538426025977565, -0.06432018177842515, -0.17387853970544206, 0.4221822090033028, -0.0035559115892586607, -0.174327108108749, 0.09450257757109487, -0.19320462720675602, -0.18550497663414311, 0.10919359356371892, 0.04249190227904667, 0.17662042861080005, -0.023938789889507463, 0.1771521985103997, -0.21524742885699702, 0.04247642842819914, 0.05222006123512983, -0.02038533262287577, 0.09861038491750757, 0.06286838089225866, 0.08223253413000041, 0.20392430620267987, 0.06942913133017202, 0.04725722727469272, -0.3101503890874382, -0.14870463267175688, -0.15332861575815412, 0.13987319353683333, -0.16191852470413626, -0.2111177127601372, 0.38323479331512417, 0.09309883592650295, 0.11987757070035311, 0.10095401748807895, 0.1528199049657107, 0.07343102704698039, 0.11501213963040047, 0.0676522125903931, -0.011030771649287393, 0.33291395430763565, -0.11475021921408673, -0.18607545242153314, -0.036840599180302684, 0.2786861093611353] |
710.2082 | Exponential stability of non-autonomous stochastic partial differential
equations with finite memory | The exponential stability, in both mean square and almost sure senses, for
energy solutions to a class of nonlinear and non-autonomous stochastic PDEs
with finite memory is investigated. Various criteria for stability are
obtained. An example is presented to demonstrate the main results.
| math.DS math.PR | the exponential stability in both mean square and almost sure senses for energy solutions to a class of nonlinear and nonautonomous stochastic pdes with finite memory is investigated various criteria for stability are obtained an example is presented to demonstrate the main results | [['the', 'exponential', 'stability', 'in', 'both', 'mean', 'square', 'and', 'almost', 'sure', 'senses', 'for', 'energy', 'solutions', 'to', 'a', 'class', 'of', 'nonlinear', 'and', 'nonautonomous', 'stochastic', 'pdes', 'with', 'finite', 'memory', 'is', 'investigated', 'various', 'criteria', 'for', 'stability', 'are', 'obtained', 'an', 'example', 'is', 'presented', 'to', 'demonstrate', 'the', 'main', 'results']] | [-0.12770365354020236, 0.046279734740003964, -0.03256562827588167, 0.10485331758553552, -0.024002506722544514, -0.12708535676735433, -0.05035002690978175, 0.37192335560224776, -0.2949522393214148, -0.2468972886630962, 0.20459794251215752, -0.27485453709959984, -0.1502099721584209, 0.2482816736148887, -0.08015411583230246, 0.14105458475302818, 0.04921023359219002, 0.0610923929963001, -0.05240366563504172, -0.28604027152408, 0.28528569924623465, 0.015541898888037649, 0.267721893742334, 0.039408263579812336, 0.1497526618565411, -0.03249201525630819, -0.025909306654749914, 0.041320598749227305, -0.17322838685453631, 0.05453220797231594, 0.23827938358624315, 0.039205210370033286, 0.34122765817961026, -0.3642935651397809, -0.19408296887914456, 0.10124205879130682, 0.11559414655054097, 0.10309011723066486, -0.08226358255934577, -0.2831187335730985, 0.15668974442104266, -0.10472173592465561, -0.1966409532483234, -0.11133477804359308, 0.0034195878867839657, 0.13890829998566662, -0.3253828804333543, 0.058732630121846534, 0.12060570391977943, 0.05144548057686797, -0.16087642567622107, -0.10467605747629044, -0.029384443809841433, 0.08915641569250891, 0.06563516967215163, -0.09714288821140694, 0.03455272845404093, -0.09673493608918994, -0.13985371304849206, 0.3529238922976304, -0.11296094098496576, -0.24575911923636531, 0.20054957620883468, -0.0851728800077771, -0.07447853551224567, 0.10558013462050017, 0.18532704229488275, 0.10968421115864847, -0.20565615308492682, 0.07529261339791553, 0.0023180072650659917, 0.16508103993742965, 0.036355408309244136, 0.052517285765430265, 0.0765371636465885, 0.19529920986983493, 0.13826755126721638, 0.16782780427507363, -0.0012535825371742249, -0.18926676936707523, -0.3234486917770186, -0.13299971901226876, -0.133367634096811, 0.03725508128314517, -0.11855784062834912, -0.19302347996597027, 0.40182395134294446, 0.09476821566390436, 0.1293355335784686, 0.1381718265109284, 0.24097731025066488, 0.1905642567245766, -0.021489781720870373, 0.07202340782465018, 0.2452048162474882, 0.17804512203952602, 0.10932819020046397, -0.20454891729926647, 0.024145230174411173, 0.12304668381896823] |
710.2083 | Association Rules in the Relational Calculus | One of the most utilized data mining tasks is the search for association
rules. Association rules represent significant relationships between items in
transactions. We extend the concept of association rule to represent a much
broader class of associations, which we refer to as \emph{entity-relationship
rules.} Semantically, entity-relationship rules express associations between
properties of related objects. Syntactically, these rules are based on a broad
subclass of safe domain relational calculus queries. We propose a new
definition of support and confidence for entity-relationship rules and for the
frequency of entity-relationship queries. We prove that the definition of
frequency satisfies standard probability axioms and the Apriori property.
| cs.DB cs.LG cs.LO | one of the most utilized data mining tasks is the search for association rules association rules represent significant relationships between items in transactions we extend the concept of association rule to represent a much broader class of associations which we refer to as emphentityrelationship rules semantically entityrelationship rules express associations between properties of related objects syntactically these rules are based on a broad subclass of safe domain relational calculus queries we propose a new definition of support and confidence for entityrelationship rules and for the frequency of entityrelationship queries we prove that the definition of frequency satisfies standard probability axioms and the apriori property | [['one', 'of', 'the', 'most', 'utilized', 'data', 'mining', 'tasks', 'is', 'the', 'search', 'for', 'association', 'rules', 'association', 'rules', 'represent', 'significant', 'relationships', 'between', 'items', 'in', 'transactions', 'we', 'extend', 'the', 'concept', 'of', 'association', 'rule', 'to', 'represent', 'a', 'much', 'broader', 'class', 'of', 'associations', 'which', 'we', 'refer', 'to', 'as', 'emphentityrelationship', 'rules', 'semantically', 'entityrelationship', 'rules', 'express', 'associations', 'between', 'properties', 'of', 'related', 'objects', 'syntactically', 'these', 'rules', 'are', 'based', 'on', 'a', 'broad', 'subclass', 'of', 'safe', 'domain', 'relational', 'calculus', 'queries', 'we', 'propose', 'a', 'new', 'definition', 'of', 'support', 'and', 'confidence', 'for', 'entityrelationship', 'rules', 'and', 'for', 'the', 'frequency', 'of', 'entityrelationship', 'queries', 'we', 'prove', 'that', 'the', 'definition', 'of', 'frequency', 'satisfies', 'standard', 'probability', 'axioms', 'and', 'the', 'apriori', 'property']] | [-0.10998967720322239, 0.024200942584322493, -0.08864688471375594, 0.16832634625454587, -0.23588448039536336, -0.145523848206492, 0.23168603574983704, 0.41586822007999763, -0.28929938290616297, -0.2896330798840494, 0.04545002865709039, -0.2564032010517074, -0.11966937993544614, 0.14147173269489074, -0.09122116351952252, 0.031984984102767434, 0.054479079142447956, 0.07349675526679719, -0.003376884528354389, -0.17939212616731964, 0.3279938733259451, -0.007138450358750172, 0.2844301210987626, 0.031023896651939283, 0.08578179516372932, 0.017728409273278654, -0.10690196677680733, 0.009893234258571875, -0.0727890328557408, 0.1997754281947335, 0.32282073571554665, 0.29558182000725086, 0.29080999538627933, -0.3466646155970876, -0.1417448134930099, 0.11163111456027887, 0.07838342505172619, 0.02711057321516598, 0.0246943952063623, -0.29009518056239897, 0.10403292601277093, -0.18816555556343886, -0.048264464042465954, -0.1264634434533875, 0.05307584611509104, 0.057217465593814125, -0.3106292232654048, 0.05268693845990358, 0.09207649218840795, 0.08767023523455685, -0.06852545367567393, -0.09749333277537976, 0.043593323757890066, 0.10806469942976549, -0.011648827912828442, -0.027572773302028192, 0.09921996768346979, -0.13567490897421697, -0.23887183030533776, 0.40546781110387403, 0.019835351080208726, -0.22859791891866374, 0.1925953221665605, -0.05545396119971009, -0.21778872732561336, 0.0722721029859651, 0.17623518533932353, 0.15903127669058378, -0.2203386902822706, 0.029574669045916064, -0.07235702849784414, 0.19113401129154614, 0.11045178019179447, 0.10376059028175343, 0.22441975906201936, 0.16813086882432543, 0.017992419543341527, 0.14420528029932558, -0.045858643996502156, -0.1372112288564733, -0.3013663901653575, -0.16644280868609554, -0.09258756275713734, -0.05114323235324864, -0.11118412588327983, -0.197105980737336, 0.34234392034111416, 0.2157154764925826, 0.17830702272928728, 0.1374188590516761, 0.19859530735372122, 0.08495815239227332, 0.15919035136048654, 0.04260622836124984, 0.1426378538633145, 0.09499773905766241, 0.09676149761919113, -0.09373243797787474, 0.13014332751191934, 0.08546057318617563] |
710.2084 | Supersymmetry Breaking and Radius Stabilization by Constant Boundary
Superpotentials in Warped Space | Supersymmetry breaking and radius stabilization by constant superpotentials
localized at boundaries is studied in a supersymmetric warped space model where
a hypermultiplet, a compensator and a radion multiplet are taken into account.
Soft mass induced by the anomaly mediation can be of the order of 100GeV and
can be dominant compared to that mediated by bulk fields. A lighter physical
mode composed of the radion and the moduli can have mass of the order of a TeV
and the gravitino mass can be of the order of 10^7 GeV. The radius is
stabilized by the presence of the constant boundary superpotentials. We also
find that the mass splitting has an interesting dependence on the bulk mass
parameter c.
| hep-th hep-ph | supersymmetry breaking and radius stabilization by constant superpotentials localized at boundaries is studied in a supersymmetric warped space model where a hypermultiplet a compensator and a radion multiplet are taken into account soft mass induced by the anomaly mediation can be of the order of 100gev and can be dominant compared to that mediated by bulk fields a lighter physical mode composed of the radion and the moduli can have mass of the order of a tev and the gravitino mass can be of the order of 107 gev the radius is stabilized by the presence of the constant boundary superpotentials we also find that the mass splitting has an interesting dependence on the bulk mass parameter c | [['supersymmetry', 'breaking', 'and', 'radius', 'stabilization', 'by', 'constant', 'superpotentials', 'localized', 'at', 'boundaries', 'is', 'studied', 'in', 'a', 'supersymmetric', 'warped', 'space', 'model', 'where', 'a', 'hypermultiplet', 'a', 'compensator', 'and', 'a', 'radion', 'multiplet', 'are', 'taken', 'into', 'account', 'soft', 'mass', 'induced', 'by', 'the', 'anomaly', 'mediation', 'can', 'be', 'of', 'the', 'order', 'of', '100gev', 'and', 'can', 'be', 'dominant', 'compared', 'to', 'that', 'mediated', 'by', 'bulk', 'fields', 'a', 'lighter', 'physical', 'mode', 'composed', 'of', 'the', 'radion', 'and', 'the', 'moduli', 'can', 'have', 'mass', 'of', 'the', 'order', 'of', 'a', 'tev', 'and', 'the', 'gravitino', 'mass', 'can', 'be', 'of', 'the', 'order', 'of', '107', 'gev', 'the', 'radius', 'is', 'stabilized', 'by', 'the', 'presence', 'of', 'the', 'constant', 'boundary', 'superpotentials', 'we', 'also', 'find', 'that', 'the', 'mass', 'splitting', 'has', 'an', 'interesting', 'dependence', 'on', 'the', 'bulk', 'mass', 'parameter', 'c']] | [-0.15891449541737468, 0.2694493947617001, -0.030462779005559288, 0.09749398362562377, -0.08924368482824983, -0.12169847191485056, -0.023610377826301727, 0.3305033306764849, -0.20058691164210313, -0.3332814375664723, 0.10550924881965205, -0.22806340007711265, -0.06274981552071995, 0.11620248756095199, -0.009303752348710925, 0.0011053582361378407, -0.008699698847229197, 0.04296937738387388, -0.06909107317816529, -0.21719814730527953, 0.35733023377814155, 0.02875655682775255, 0.17679330470608706, 0.11119839644564664, 0.06659621752845912, -0.052938241371490315, 0.06132879902182494, 0.005881274943545824, -0.11901194989442987, 0.08856425013677297, 0.16871640951199046, 0.01219779493334561, 0.15394205510442666, -0.34609996899962425, -0.21139364822183626, 0.12462797220717421, 0.17526208470828072, 0.06328291962144234, -0.055024109619977425, -0.30041562527481275, 0.09951958587783846, -0.17756241303473963, -0.12953556940586985, -0.05360888276975286, -0.003489742000287367, -0.13241196958095594, -0.3116106615812218, 0.11313408238875435, -0.03537394215601449, -0.025052835075658256, -0.09359472161711399, -0.10296316391796316, -0.16337249291887096, 0.03571353567038047, 0.16485531196704575, 0.03949548533359953, 0.17597021526159815, -0.15981655005144618, -0.0962551128576999, 0.4063532763689567, -0.11290856789288474, -0.18258091751328212, 0.13532534275022415, -0.09853384663524517, -0.09481875326531797, 0.17452459518355712, 0.17539280666417237, 0.137823161270501, -0.13979252148962232, 0.20304444363346655, -0.00826322229409401, 0.21328097016755806, 0.07581078344008933, 0.030373434179020508, 0.28984659547144076, 0.1681315243674316, 0.038104507845226614, 0.09671936124283032, -0.0827914506899414, -0.05767321403501397, -0.3784414650714498, -0.14421868874243524, -0.11868670600998192, 0.0650017297416294, -0.14917132372006486, -0.0797215127544004, 0.3899822537905647, 0.07159520556629335, 0.25989336959654624, -0.011439797784186016, 0.24159722159995492, 0.13111230761002182, 0.15743452006402442, 0.030880050299594463, 0.34407369750630806, 0.13092662262240962, 0.06519689335550924, -0.2557671624275272, -0.046151909610193415, 0.09968966520707107] |
710.2085 | Screening masses in the SU(3) pure gauge theory and universality | We determine from Polyakov loop correlators the screening masses in th e
deconfined phase of the (3+1)d SU(3) pure gauge theory at finite temperature
near transition, for two different channels of angular momentum and parity.
Their ratio is compared with that of the massive excitations with the same
quantum numbers in the 3d 3-state Potts model in the broken phase near the
transition point at zero magnetic field. Moreover we study the inverse decay
length of the correlation between the real parts and between the imaginary
parts of the Polyakov loop and compare the results with expectations from
perturbation theory and mean-field Polyakov loop models.
| hep-lat | we determine from polyakov loop correlators the screening masses in th e deconfined phase of the 31d su3 pure gauge theory at finite temperature near transition for two different channels of angular momentum and parity their ratio is compared with that of the massive excitations with the same quantum numbers in the 3d 3state potts model in the broken phase near the transition point at zero magnetic field moreover we study the inverse decay length of the correlation between the real parts and between the imaginary parts of the polyakov loop and compare the results with expectations from perturbation theory and meanfield polyakov loop models | [['we', 'determine', 'from', 'polyakov', 'loop', 'correlators', 'the', 'screening', 'masses', 'in', 'th', 'e', 'deconfined', 'phase', 'of', 'the', '31d', 'su3', 'pure', 'gauge', 'theory', 'at', 'finite', 'temperature', 'near', 'transition', 'for', 'two', 'different', 'channels', 'of', 'angular', 'momentum', 'and', 'parity', 'their', 'ratio', 'is', 'compared', 'with', 'that', 'of', 'the', 'massive', 'excitations', 'with', 'the', 'same', 'quantum', 'numbers', 'in', 'the', '3d', '3state', 'potts', 'model', 'in', 'the', 'broken', 'phase', 'near', 'the', 'transition', 'point', 'at', 'zero', 'magnetic', 'field', 'moreover', 'we', 'study', 'the', 'inverse', 'decay', 'length', 'of', 'the', 'correlation', 'between', 'the', 'real', 'parts', 'and', 'between', 'the', 'imaginary', 'parts', 'of', 'the', 'polyakov', 'loop', 'and', 'compare', 'the', 'results', 'with', 'expectations', 'from', 'perturbation', 'theory', 'and', 'meanfield', 'polyakov', 'loop', 'models']] | [-0.1309513401328808, 0.2673083590920128, -0.07883269298777339, 0.08087220341521537, 0.024519068397404184, -0.12055914601133692, 0.03591026260650584, 0.3431287544469039, -0.19708577568775842, -0.2537799795646043, 0.020913271041631345, -0.3309983506443955, -0.08937063830062038, 0.07489020699147313, 0.09434551577128115, 0.04284340078454642, -0.04685203456985099, 0.1025682944870953, -0.1383133324018369, -0.18017213914011207, 0.354070641632591, 0.006219066540888022, 0.2967718290963343, 0.09120910432455795, 0.035814807611695004, -0.01755388094821856, 0.02223446620184751, 0.014522086749119418, -0.10335441817386752, 0.0086195974488787, 0.17781706550979703, -0.03026108822474877, 0.12298174150997684, -0.39161582371840875, -0.1841794420211088, 0.1043693013977082, 0.13623699595530828, 0.11735824163160509, 0.01260168885789989, -0.29551541997740666, 0.06709134707316047, -0.1522213786396952, -0.15028836935560408, -0.05373719638834397, -0.013416427359472783, -0.07176218395830974, -0.2711503391109762, 0.11228772844409658, -0.013022774952419457, 0.10701406421583323, -0.06766873827381503, -0.14386668710836342, -0.07699578211066269, 0.1459109535086013, 0.07650393267228667, 0.05612499652696507, 0.11908385483104558, -0.18604700962702433, -0.16276498878585352, 0.36256618369370697, -0.08350637818553618, -0.13436469256966596, 0.15865451918826218, -0.2201599311527042, -0.10555859625871693, 0.13693728419242515, 0.13704922262279848, 0.0943020791746676, -0.08106275655861411, 0.14797302933099368, 0.01625802128470414, 0.13485744610744796, 0.037927123717963696, 0.013619332991185642, 0.28383599179131647, 0.08839492308463724, -0.017444217027652833, 0.16225567704643168, -0.08452176716888235, -0.2236919440728213, -0.3648425973064843, -0.11228051639738537, -0.1736725290849184, 0.015810452470378506, -0.15592548255087985, -0.18075404472294307, 0.40027112361221084, 0.1741680614871993, 0.2165506943439444, 0.07841208014814627, 0.2910035918111957, 0.13798484709557324, 0.0675818177804883, 0.07570787268646416, 0.22853156167659022, 0.22205749341464115, 0.11461379638751082, -0.35540491998905227, -0.09510689674477492, 0.13206458689999723] |
710.2086 | Strings on conifolds from strong coupling dynamics, part I | A method to solve various aspects of the strong coupling expansion of the
superconformal field theory duals of AdS_5 x X geometries from first principles
is proposed. The main idea is that at strong coupling the configurations that
dominate the low energy dynamics of the field theory compactified on a three
sphere are given by certain non-trivial semi-classical configurations in the
moduli space of vacua.
We show that this approach is self-consistent and permits one to express most
of the dynamics in terms of an effective N=4 SYM dynamics. This has the
advantage that some degrees of freedom that move the configurations away from
moduli space can be treated perturbatively, unifying the essential low energy
dynamics of all of these theories. We show that with this formalism one can
compute the energies of strings in the BMN limit in the Klebanov-Witten theory
from field theory considerations, matching the functional form of results found
using AdS geometry. This paper also presents various other technical results
for the semiclassical treatment of superconformal field theories.
| hep-th | a method to solve various aspects of the strong coupling expansion of the superconformal field theory duals of ads_5 x x geometries from first principles is proposed the main idea is that at strong coupling the configurations that dominate the low energy dynamics of the field theory compactified on a three sphere are given by certain nontrivial semiclassical configurations in the moduli space of vacua we show that this approach is selfconsistent and permits one to express most of the dynamics in terms of an effective n4 sym dynamics this has the advantage that some degrees of freedom that move the configurations away from moduli space can be treated perturbatively unifying the essential low energy dynamics of all of these theories we show that with this formalism one can compute the energies of strings in the bmn limit in the klebanovwitten theory from field theory considerations matching the functional form of results found using ads geometry this paper also presents various other technical results for the semiclassical treatment of superconformal field theories | [['a', 'method', 'to', 'solve', 'various', 'aspects', 'of', 'the', 'strong', 'coupling', 'expansion', 'of', 'the', 'superconformal', 'field', 'theory', 'duals', 'of', 'ads_5', 'x', 'x', 'geometries', 'from', 'first', 'principles', 'is', 'proposed', 'the', 'main', 'idea', 'is', 'that', 'at', 'strong', 'coupling', 'the', 'configurations', 'that', 'dominate', 'the', 'low', 'energy', 'dynamics', 'of', 'the', 'field', 'theory', 'compactified', 'on', 'a', 'three', 'sphere', 'are', 'given', 'by', 'certain', 'nontrivial', 'semiclassical', 'configurations', 'in', 'the', 'moduli', 'space', 'of', 'vacua', 'we', 'show', 'that', 'this', 'approach', 'is', 'selfconsistent', 'and', 'permits', 'one', 'to', 'express', 'most', 'of', 'the', 'dynamics', 'in', 'terms', 'of', 'an', 'effective', 'n4', 'sym', 'dynamics', 'this', 'has', 'the', 'advantage', 'that', 'some', 'degrees', 'of', 'freedom', 'that', 'move', 'the', 'configurations', 'away', 'from', 'moduli', 'space', 'can', 'be', 'treated', 'perturbatively', 'unifying', 'the', 'essential', 'low', 'energy', 'dynamics', 'of', 'all', 'of', 'these', 'theories', 'we', 'show', 'that', 'with', 'this', 'formalism', 'one', 'can', 'compute', 'the', 'energies', 'of', 'strings', 'in', 'the', 'bmn', 'limit', 'in', 'the', 'klebanovwitten', 'theory', 'from', 'field', 'theory', 'considerations', 'matching', 'the', 'functional', 'form', 'of', 'results', 'found', 'using', 'ads', 'geometry', 'this', 'paper', 'also', 'presents', 'various', 'other', 'technical', 'results', 'for', 'the', 'semiclassical', 'treatment', 'of', 'superconformal', 'field', 'theories']] | [-0.14870411095204006, 0.14657395250148067, -0.12163689226415658, 0.07503134092020933, -0.03673869833691305, -0.08491842557952284, -0.021466695283252617, 0.31268777867080644, -0.2283024734575139, -0.2675465273042751, 0.056518412498367386, -0.25875589551761485, -0.18965716898809512, 0.14206076246012153, -0.033084753611081735, -0.012168314594228557, 0.010114171905009899, 0.04921602075080236, -0.09184273038070302, -0.2465769513374801, 0.34305719957892716, 0.01890469437768293, 0.29531828649233766, 0.0657865785842025, 0.10142770205857232, 0.019671966787427664, 0.05314837271201446, 0.049241862297369446, -0.13850855524237146, 0.16174343219135218, 0.2520137258824286, 0.08636920730215172, 0.2010151110156331, -0.4726411322792342, -0.24356007344308742, 0.03875863271343067, 0.1404327195365155, 0.14621961087551574, 0.001178074479888215, -0.22860926039906782, 0.06141105590951304, -0.1537725758782133, -0.18351087843536312, -0.10419287751861957, -0.008498357820086355, -0.02791427867487073, -0.21060139760726976, 0.020206047336064646, 0.016863943548699797, 0.021960166282951832, -0.07707762872924769, -0.08180183625568874, -0.040663133409188326, 0.11958758916359308, 0.11308108632544835, 0.06187562089072281, 0.11295586557474074, -0.17616897210652052, -0.12184378814472016, 0.3755251136066955, -0.06602836275191674, -0.21572223209524202, 0.16412345070099502, -0.1683587042004314, -0.18038176873774636, 0.13442658526324774, 0.11597850174253244, 0.20228113479868964, -0.12617242117385316, 0.20997548070844524, -0.02928962051424436, 0.12620635807709119, 0.063688185604744, 0.061255864100530744, 0.2305484287776486, 0.11276065956985275, 0.03077800329747545, 0.13258374838644454, -0.0328441598211675, -0.14973125908372187, -0.3988319879267798, -0.11373910420223733, -0.14021571087556198, 0.08540307766714589, -0.14464488921158739, -0.15446349472975188, 0.3830893332921077, 0.17486868240954462, 0.16098966089220781, 0.03840872873335557, 0.23891139901134856, 0.11025894284627379, 0.05120508122253827, 0.045197884841865404, 0.2629757982194437, 0.15541583255981095, 0.046184152973880774, -0.22464284003200552, -0.0885578423960481, 0.14391518010064785] |
710.2087 | Impact of slepton generation mixing on the search for sneutrinos -
Lepton flavour violation in sneutrino production and decays in the general
MSSM | We perform a systematic study of sneutrino production and decays in the
Minimal Supersymmetric Standard Model (MSSM) with slepton generation mixing. We
study bosonic decays like sneutrino \to slepton^- + W^+/H^+ as well as
fermionic ones. We show that the effect of slepton generation mixing on the
sneutrino production and decays can be quite large in a significant part of the
MSSM parameter space despite the very strong experimental limits on lepton
flavour violating processes. This could have an important impact on the search
for sneutrinos and the determination of the MSSM parameters at future
colliders, such as LHC, ILC, CLIC and muon collider.
| hep-ph hep-ex | we perform a systematic study of sneutrino production and decays in the minimal supersymmetric standard model mssm with slepton generation mixing we study bosonic decays like sneutrino to slepton wh as well as fermionic ones we show that the effect of slepton generation mixing on the sneutrino production and decays can be quite large in a significant part of the mssm parameter space despite the very strong experimental limits on lepton flavour violating processes this could have an important impact on the search for sneutrinos and the determination of the mssm parameters at future colliders such as lhc ilc clic and muon collider | [['we', 'perform', 'a', 'systematic', 'study', 'of', 'sneutrino', 'production', 'and', 'decays', 'in', 'the', 'minimal', 'supersymmetric', 'standard', 'model', 'mssm', 'with', 'slepton', 'generation', 'mixing', 'we', 'study', 'bosonic', 'decays', 'like', 'sneutrino', 'to', 'slepton', 'wh', 'as', 'well', 'as', 'fermionic', 'ones', 'we', 'show', 'that', 'the', 'effect', 'of', 'slepton', 'generation', 'mixing', 'on', 'the', 'sneutrino', 'production', 'and', 'decays', 'can', 'be', 'quite', 'large', 'in', 'a', 'significant', 'part', 'of', 'the', 'mssm', 'parameter', 'space', 'despite', 'the', 'very', 'strong', 'experimental', 'limits', 'on', 'lepton', 'flavour', 'violating', 'processes', 'this', 'could', 'have', 'an', 'important', 'impact', 'on', 'the', 'search', 'for', 'sneutrinos', 'and', 'the', 'determination', 'of', 'the', 'mssm', 'parameters', 'at', 'future', 'colliders', 'such', 'as', 'lhc', 'ilc', 'clic', 'and', 'muon', 'collider']] | [-0.06917356125540236, 0.28424018249494926, 0.01453708501496506, 0.2123564131573765, -0.09387222874584128, -0.1822963904462827, 0.03203633814955185, 0.30112803957506434, -0.212983496939239, -0.26927611796474715, 0.04966731607751215, -0.31507881753851924, 0.028103350191512732, 0.17318649983793064, 0.0595955132581384, 0.11929612755956291, 0.12591359288617066, -0.05110155849817019, -0.050364429716617594, -0.24448047441122964, 0.22560249905563096, 0.10568536067544257, 0.14972553985392295, 0.1384897342729337, 0.014211586034558351, -0.013374882976262315, -0.023377285039423087, -0.1229603002619256, -0.07966564104049433, 0.04163374870256024, 0.21485310351674997, 0.10424242803410998, 0.08443610686627985, -0.34630559194941546, -0.11375256630962768, 0.2524770474314545, 0.1870742129632136, 0.07884496115871424, -0.13362728091729895, -0.3368699182439776, 0.0704564638543214, -0.27755946850006297, -0.014177713534134684, -0.09824420041003427, -0.056629362678860574, -0.1611142292193779, -0.3660418124647938, 0.06562017622512305, -0.0972445887836709, -0.0009364030794104905, 0.05402635959105891, -0.20802958528239968, -0.07617702871081826, -0.026588610066010536, 0.23930973697847063, -0.04783452453218328, 0.2054693446013154, -0.22605444542222738, -0.2257889520865187, 0.44441103870139537, -0.15662429052703444, -0.20137802183682335, 0.1886788570204551, -0.1921747905175084, -0.18941953292713293, 0.03618855283423824, 0.2879353191124872, 0.10694398433738614, -0.14762147707701886, 0.24954921698640778, -0.054410735624435456, 0.13689127515151517, 0.04873903717357412, 0.11185676036221744, 0.2856692242508447, 0.2985163086356179, 0.11873585756334648, 0.07738813326481585, -0.09275486520762799, -0.04593332708605285, -0.5065385005753307, -0.13786396666292047, -0.029489246658185152, 0.04764381335320367, -0.03930862442289651, -0.11513811167108022, 0.4331986777421123, 0.1356381079163945, 0.28736823381295484, 0.008231449953633027, 0.33086550313509205, 0.05695605092767843, 0.0950848199961169, -0.04502601836521509, 0.35270796583748415, 0.0819851571820604, 0.13134615758470106, -0.2790606412403647, 0.02835093857268396, 0.05505508956390894] |
710.2088 | Multiplicative function instead of logarithm (an elementary approach) | V.I. Arnold has recently defined the complexity of finite sequences of zeroes
and ones in terms of periods and preperiods of attractors of a dynamic system
of the operator of finite differentiation. Arnold has set up a hypothesis that
the sequence of the values of the logarithm is most complicated or almost most
complicated. In this paper we obtain the necessary and sufficient conditions
which make this sequence (supplemented with zero) most complicated for a more
wide class of operators. We prove that a sequence of values of a multiplicative
function in a finite field is most complicated or almost most complicated for
any operator divisible by the differentiation operator.
| math.NT math.AC | vi arnold has recently defined the complexity of finite sequences of zeroes and ones in terms of periods and preperiods of attractors of a dynamic system of the operator of finite differentiation arnold has set up a hypothesis that the sequence of the values of the logarithm is most complicated or almost most complicated in this paper we obtain the necessary and sufficient conditions which make this sequence supplemented with zero most complicated for a more wide class of operators we prove that a sequence of values of a multiplicative function in a finite field is most complicated or almost most complicated for any operator divisible by the differentiation operator | [['vi', 'arnold', 'has', 'recently', 'defined', 'the', 'complexity', 'of', 'finite', 'sequences', 'of', 'zeroes', 'and', 'ones', 'in', 'terms', 'of', 'periods', 'and', 'preperiods', 'of', 'attractors', 'of', 'a', 'dynamic', 'system', 'of', 'the', 'operator', 'of', 'finite', 'differentiation', 'arnold', 'has', 'set', 'up', 'a', 'hypothesis', 'that', 'the', 'sequence', 'of', 'the', 'values', 'of', 'the', 'logarithm', 'is', 'most', 'complicated', 'or', 'almost', 'most', 'complicated', 'in', 'this', 'paper', 'we', 'obtain', 'the', 'necessary', 'and', 'sufficient', 'conditions', 'which', 'make', 'this', 'sequence', 'supplemented', 'with', 'zero', 'most', 'complicated', 'for', 'a', 'more', 'wide', 'class', 'of', 'operators', 'we', 'prove', 'that', 'a', 'sequence', 'of', 'values', 'of', 'a', 'multiplicative', 'function', 'in', 'a', 'finite', 'field', 'is', 'most', 'complicated', 'or', 'almost', 'most', 'complicated', 'for', 'any', 'operator', 'divisible', 'by', 'the', 'differentiation', 'operator']] | [-0.1592260351128996, 0.11138245897418862, -0.08565134391906339, 0.07544841325132672, -0.06768660249034746, -0.10160014543195314, 0.038204437162334084, 0.3088018150162806, -0.2585593622803705, -0.23728252389818566, 0.13638766367018326, -0.22531440732877814, -0.18039217807882285, 0.21172214502366174, -0.07478400150638655, 0.05784092448601593, 0.05315087696349402, 0.07116944231135651, -0.069997733437516, -0.2483162690603405, 0.39092749707537505, -0.028064102122406346, 0.17744311713827177, 0.024194674322877183, 0.11052420350013796, -0.01944624406801977, -0.045432111946865916, 0.013712611929470793, -0.0764797234897333, 0.12404938727412201, 0.22610063875657976, 0.12492328538952413, 0.31149857432726735, -0.3873631152999374, -0.19434837339907338, 0.1825441553368481, 0.14692859998007024, 0.06286866883768641, -0.02423876387757621, -0.20784686144373013, 0.1487560528714996, -0.15304426738774454, -0.15612752701437801, -0.06762667254912197, 0.09040494305145748, 0.03261024422875238, -0.3073132740111526, 0.03541854770273107, 0.11158191276833825, 0.11971465395678074, -0.04382479499060011, -0.10754302468197847, -0.012254546349440966, 0.1268836136762087, 0.03410747298253102, 0.03010766011547434, 0.029493870636567884, -0.14078990362772564, -0.07951126754745294, 0.36695279976472667, -0.05591787811189275, -0.21612367665378052, 0.19280699285926348, -0.18309116246042037, -0.145758248361494, 0.1402722841829335, 0.0780610218985912, 0.1842132244823039, -0.1491681960317383, 0.118805083248085, -0.04591359709893618, 0.15613824578531837, 0.09922256242107907, 0.039495315641985024, 0.10506047272559153, 0.1346198564796888, 0.1219251928167469, 0.12392431995703267, -0.015728471719514612, -0.10221681047077162, -0.2952075870451304, -0.17489674373811812, -0.17465878235295826, 0.06915527915394087, -0.11007691995380126, -0.24902048681268826, 0.4307182413021769, 0.1006419428564403, 0.23132595129165834, 0.07276160113722804, 0.22659951760732663, 0.19251033254013153, 0.08500422951402228, 0.060750381179461514, 0.13118630966359596, 0.1422096052326672, 0.07486050351364794, -0.16108158123978508, 0.08427435647132336, 0.10814911052328322] |
710.2089 | Tailoring polarization entanglement in anisotropy-compensated SPDC | We show that the angular spectrum of type-II SPDC contains a continuum of
maximally entangled states. For the realization of a bright source of entangled
two-photon states, a standard technique is to compensate for the transverse
walk-off in the production crystal. We demonstrate that polarization entangled
states can be effectively engineered by generalizing this approach. Our method
allows to considerably enrich the set of generated entangled states with a
controlled tailoring them.
| quant-ph | we show that the angular spectrum of typeii spdc contains a continuum of maximally entangled states for the realization of a bright source of entangled twophoton states a standard technique is to compensate for the transverse walkoff in the production crystal we demonstrate that polarization entangled states can be effectively engineered by generalizing this approach our method allows to considerably enrich the set of generated entangled states with a controlled tailoring them | [['we', 'show', 'that', 'the', 'angular', 'spectrum', 'of', 'typeii', 'spdc', 'contains', 'a', 'continuum', 'of', 'maximally', 'entangled', 'states', 'for', 'the', 'realization', 'of', 'a', 'bright', 'source', 'of', 'entangled', 'twophoton', 'states', 'a', 'standard', 'technique', 'is', 'to', 'compensate', 'for', 'the', 'transverse', 'walkoff', 'in', 'the', 'production', 'crystal', 'we', 'demonstrate', 'that', 'polarization', 'entangled', 'states', 'can', 'be', 'effectively', 'engineered', 'by', 'generalizing', 'this', 'approach', 'our', 'method', 'allows', 'to', 'considerably', 'enrich', 'the', 'set', 'of', 'generated', 'entangled', 'states', 'with', 'a', 'controlled', 'tailoring', 'them']] | [-0.09784449674771167, 0.24690791728062322, -0.09297979099210352, 0.019293374894510232, -0.02130480943661597, -0.16783858235511515, 0.05876477713981229, 0.42590178466505474, -0.25734988576732576, -0.25959369263404775, -0.007440305930989173, -0.2656557426511831, -0.0486053452671816, 0.211140829537827, 0.002078859630273655, 0.07169964489811617, 0.08862512294823925, -0.06747693637670535, -0.008676094475150522, -0.1757216431740542, 0.3325610984918765, -0.010704629000328068, 0.34449573035817593, 0.04386350833940216, 0.12641687493952405, 0.030640583142586466, 0.022238758978750814, -0.02342148574017402, -0.02960620766942965, 0.18263060461160624, 0.24432604064026642, 0.09596876678470936, 0.21992284944280982, -0.3500904025665174, -0.22265269111893657, 0.09841739197468592, 0.13608071268794852, 0.2502255449200877, -0.053175871826372005, -0.3515159254376259, 0.055456810993038945, -0.17691646051955306, -0.16914620425086468, -0.12790971943953386, -0.060073667768544205, -0.047476156427162804, -0.3039139533260216, 0.06429959309106278, 0.05108699567952297, -0.04419146477852741, -0.007709784240028562, -0.008815962290908728, -0.09745384532208037, 0.04602570485116707, -0.0800043379842666, 0.0074595708105739, 0.12105024876331703, -0.15963539658009218, -0.19643845316022635, 0.3370870298369684, -0.07353913051904076, -0.2106575926558839, 0.12342510113699569, -0.14071889443504107, -0.07467243322106595, 0.1351667443393833, 0.16248586319125025, 0.15031498244368574, -0.09345116223751877, 0.004349302700979428, -0.05112299345071531, 0.23753187298037423, 0.08796222643771519, 0.15050735319689718, 0.22449268392261323, 0.11701594209039791, 0.051510739166082606, 0.2692359737492451, -0.07896479023596233, -0.04941502254870203, -0.31293821469363237, -0.17672311871623, -0.23182654774023426, 0.10209335294914329, -0.021023266640339797, -0.11749282816243875, 0.46920318122849697, 0.13648210000893515, 0.1551819341774616, -0.019880309804446168, 0.26261996158346945, 0.09154682288276995, 0.10034560011829147, 0.05291975968025832, 0.2830432810620146, 0.12929901318340045, 0.0341995588007396, -0.2473231351792088, 0.017475493978256255, -0.017370214737537835] |
710.209 | Dynamical systems with double recursion are undecidable | A primitive type of two-dimensional dynamic system is introduced. It is shown
that there is no decision procedure able to answer if such a dynamical system
is ultimately zero.
| math.DS math.AC | a primitive type of twodimensional dynamic system is introduced it is shown that there is no decision procedure able to answer if such a dynamical system is ultimately zero | [['a', 'primitive', 'type', 'of', 'twodimensional', 'dynamic', 'system', 'is', 'introduced', 'it', 'is', 'shown', 'that', 'there', 'is', 'no', 'decision', 'procedure', 'able', 'to', 'answer', 'if', 'such', 'a', 'dynamical', 'system', 'is', 'ultimately', 'zero']] | [-0.15811637244267582, 0.12690697889775038, -0.12167624223591952, 0.09106562416679387, -0.0992539047167219, -0.21566205230995145, 0.042429715138057184, 0.3479690880611025, -0.3077411502599716, -0.20872564093563065, 0.12923667944389686, -0.2460974359820629, -0.2823152508715103, 0.2022580111335064, -0.09198034655880825, 0.07762570062588, 0.06707522075157613, 0.11663765291651261, 0.019846383618704718, -0.2786098251055027, 0.3295491801992316, 0.013900196380463654, 0.24104502877413198, 0.02394816871925161, 0.1616812913582243, -0.013740696655265216, 0.03165999268470653, 0.0872443145108891, -0.09878969803610053, -0.011572769096378109, 0.2571845854279296, 0.17331461984150368, 0.3247563670557956, -0.3050413354588994, -0.19223353831932463, 0.14620363580641046, 0.11261050852722135, 0.09689352523278573, -0.040013461020486106, -0.18479985008337374, 0.19563061560921627, -0.18834464701599088, -0.15892285567804657, -0.09746991544319637, 0.08779974513012788, -0.1041095058016222, -0.31244972980870256, -0.019965963887757267, 0.14800288400849618, 0.014641079409369108, -0.053390601168161834, -0.0011280686995977986, -0.04158795058149202, 0.1169232243093951, -0.001409138880795769, 0.08769189791175826, 0.0741497867194743, -0.05147071632331815, -0.10229895018233821, 0.413016599924143, 0.01575757852546742, -0.2583327032625675, 0.27392786137502767, -0.0835151778662513, -0.1120981686620106, 0.18314414795745035, 0.07762099545577476, 0.07564612188986664, -0.19862393167769088, 0.09445744248685138, -0.10661035153115618, 0.270891017954925, 7.608960029380075e-05, -0.04505040824557815, 0.21415899446683712, 0.20634963222104927, 0.14322325124822813, 0.1072756561996608, 0.020843718843213444, -0.08602252371352294, -0.24709898586673984, -0.1697814212790851, -0.17967421946854428, 0.09870126239698508, 0.012527557764330814, -0.23438220092492854, 0.2936693053564121, 0.17418374301030717, 0.12102780507170949, 0.0011515643383408416, 0.2701310357801488, 0.19290923425157008, 0.09022160174710483, 0.07958722061573945, 0.1732595063874434, 0.13065079108265967, 0.07274462179890995, -0.18358865046295628, 0.10476911628361919, 0.1077795509762805] |
710.2091 | Slow and fast micro-field components in warm and dense hydrogen plasmas | The aim of this work is the investigation of the statistical properties of
local electric fields in an ion-electron two component plasmas for coupled
conditions. The stochastic fields at a charged or at a neutral point in plasmas
involve both slow and fast fluctuation characteristics. The statistical study
of these local fields based on a direct time average is done for the first
time. For warm and dense plasma conditions, typically $N_{e}\approx
10^{18}cm^{-3}$, $% T_{e}\approx 1eV$, well controlled molecular dynamics (MD)
simulations of neutral hydrogen, protons and electrons have been carried out.
Relying on these \textit{ab initio} MD calculations this work focuses on an
analysis of the concepts of statistically independent slow and fast local field
components, based on the consideration of a time averaged electric field. Large
differences are found between the results of these MD simulations and
corresponding standard results based on static screened fields. The effects
discussed are of importance for physical phenomena connected with stochastic
electric field fluctuations, e.g., for spectral line broadening in dense
plasmas.
| physics.plasm-ph | the aim of this work is the investigation of the statistical properties of local electric fields in an ionelectron two component plasmas for coupled conditions the stochastic fields at a charged or at a neutral point in plasmas involve both slow and fast fluctuation characteristics the statistical study of these local fields based on a direct time average is done for the first time for warm and dense plasma conditions typically n_eapprox 1018cm3 t_eapprox 1ev well controlled molecular dynamics md simulations of neutral hydrogen protons and electrons have been carried out relying on these textitab initio md calculations this work focuses on an analysis of the concepts of statistically independent slow and fast local field components based on the consideration of a time averaged electric field large differences are found between the results of these md simulations and corresponding standard results based on static screened fields the effects discussed are of importance for physical phenomena connected with stochastic electric field fluctuations eg for spectral line broadening in dense plasmas | [['the', 'aim', 'of', 'this', 'work', 'is', 'the', 'investigation', 'of', 'the', 'statistical', 'properties', 'of', 'local', 'electric', 'fields', 'in', 'an', 'ionelectron', 'two', 'component', 'plasmas', 'for', 'coupled', 'conditions', 'the', 'stochastic', 'fields', 'at', 'a', 'charged', 'or', 'at', 'a', 'neutral', 'point', 'in', 'plasmas', 'involve', 'both', 'slow', 'and', 'fast', 'fluctuation', 'characteristics', 'the', 'statistical', 'study', 'of', 'these', 'local', 'fields', 'based', 'on', 'a', 'direct', 'time', 'average', 'is', 'done', 'for', 'the', 'first', 'time', 'for', 'warm', 'and', 'dense', 'plasma', 'conditions', 'typically', 'n_eapprox', '1018cm3', 't_eapprox', '1ev', 'well', 'controlled', 'molecular', 'dynamics', 'md', 'simulations', 'of', 'neutral', 'hydrogen', 'protons', 'and', 'electrons', 'have', 'been', 'carried', 'out', 'relying', 'on', 'these', 'textitab', 'initio', 'md', 'calculations', 'this', 'work', 'focuses', 'on', 'an', 'analysis', 'of', 'the', 'concepts', 'of', 'statistically', 'independent', 'slow', 'and', 'fast', 'local', 'field', 'components', 'based', 'on', 'the', 'consideration', 'of', 'a', 'time', 'averaged', 'electric', 'field', 'large', 'differences', 'are', 'found', 'between', 'the', 'results', 'of', 'these', 'md', 'simulations', 'and', 'corresponding', 'standard', 'results', 'based', 'on', 'static', 'screened', 'fields', 'the', 'effects', 'discussed', 'are', 'of', 'importance', 'for', 'physical', 'phenomena', 'connected', 'with', 'stochastic', 'electric', 'field', 'fluctuations', 'eg', 'for', 'spectral', 'line', 'broadening', 'in', 'dense', 'plasmas']] | [-0.13375352247211034, 0.160981985548836, -0.07069211360624807, 0.05497799348643797, 0.014590438773219814, -0.06153573126191954, 0.015260149719204731, 0.38731857957485727, -0.21745597522616564, -0.28813888811824206, 0.05483044213601416, -0.23891782002578613, -0.0754901366182854, 0.20958199124214447, 0.06755480501510783, 0.03941373219769336, 0.038273171831234666, -0.015020454991162715, -0.051568740899367874, -0.17446339159366023, 0.3046847901524541, 0.1016176535474683, 0.2821163305243154, 0.0648790163679528, 0.078579914682924, -0.01693110517644418, -0.0847544766583307, 0.07214114616184446, -0.10691825441434397, 0.08477294457027923, 0.19288411326037197, 0.037616601572426044, 0.25822052235497595, -0.5233352685982953, -0.24186743312922424, 0.05732478378730976, 0.10775260059962893, 0.09210503182769893, -0.07264621538168634, -0.2546918034542374, 0.04837723152466609, -0.0854817940609552, -0.11763177376552791, -0.07742934534186777, 0.022624506382968746, 0.10354606308528183, -0.2903273666896551, 0.10734715325545943, 0.03524401052896781, 0.11538834917782716, -0.06800300377409928, -0.12451997332129917, 0.015654236141001126, 0.08057456558380655, 0.057138164154069866, 0.010958467006493739, 0.22614386307443687, -0.14267983872019602, -0.08714120454729317, 0.38701997324545495, -0.08871858559052521, -0.16925442324599954, 0.24313517341468327, -0.1316766385951018, -0.14902544203967213, 0.17903173403273487, 0.17889544206202967, 0.15065119723220563, -0.18004488999938625, 0.08024911782362716, -0.007967598139570502, 0.14424941359763313, 0.017883373418834038, 0.02113962678718353, 0.24393680808831475, 0.15406226849986496, -8.454573140124104e-05, 0.06691691332251325, -0.09711635575495928, -0.13769255358792706, -0.2721055912406011, -0.1401976621054492, -0.1703400395581956, 0.049872779009255866, -0.06053847759206776, -0.16828208896582444, 0.3971510102002028, 0.1509051293631023, 0.15267266096647628, -0.02859169626287826, 0.3125996585868433, 0.10071037131121861, -0.00670155315258412, 0.08704263285014355, 0.265556303483105, 0.18927580394020896, 0.11274859801347474, -0.2525726684514143, 0.006949137034686561, 0.01758301358887491] |
710.2092 | Self-similarity of complex networks and hidden metric spaces | We demonstrate that the self-similarity of some scale-free networks with
respect to a simple degree-thresholding renormalization scheme finds a natural
interpretation in the assumption that network nodes exist in hidden metric
spaces. Clustering, i.e., cycles of length three, plays a crucial role in this
framework as a topological reflection of the triangle inequality in the hidden
geometry. We prove that a class of hidden variable models with underlying
metric spaces are able to accurately reproduce the self-similarity properties
that we measured in the real networks. Our findings indicate that hidden
geometries underlying these real networks are a plausible explanation for their
observed topologies and, in particular, for their self-similarity with respect
to the degree-based renormalization.
| cond-mat.dis-nn cs.NI physics.soc-ph | we demonstrate that the selfsimilarity of some scalefree networks with respect to a simple degreethresholding renormalization scheme finds a natural interpretation in the assumption that network nodes exist in hidden metric spaces clustering ie cycles of length three plays a crucial role in this framework as a topological reflection of the triangle inequality in the hidden geometry we prove that a class of hidden variable models with underlying metric spaces are able to accurately reproduce the selfsimilarity properties that we measured in the real networks our findings indicate that hidden geometries underlying these real networks are a plausible explanation for their observed topologies and in particular for their selfsimilarity with respect to the degreebased renormalization | [['we', 'demonstrate', 'that', 'the', 'selfsimilarity', 'of', 'some', 'scalefree', 'networks', 'with', 'respect', 'to', 'a', 'simple', 'degreethresholding', 'renormalization', 'scheme', 'finds', 'a', 'natural', 'interpretation', 'in', 'the', 'assumption', 'that', 'network', 'nodes', 'exist', 'in', 'hidden', 'metric', 'spaces', 'clustering', 'ie', 'cycles', 'of', 'length', 'three', 'plays', 'a', 'crucial', 'role', 'in', 'this', 'framework', 'as', 'a', 'topological', 'reflection', 'of', 'the', 'triangle', 'inequality', 'in', 'the', 'hidden', 'geometry', 'we', 'prove', 'that', 'a', 'class', 'of', 'hidden', 'variable', 'models', 'with', 'underlying', 'metric', 'spaces', 'are', 'able', 'to', 'accurately', 'reproduce', 'the', 'selfsimilarity', 'properties', 'that', 'we', 'measured', 'in', 'the', 'real', 'networks', 'our', 'findings', 'indicate', 'that', 'hidden', 'geometries', 'underlying', 'these', 'real', 'networks', 'are', 'a', 'plausible', 'explanation', 'for', 'their', 'observed', 'topologies', 'and', 'in', 'particular', 'for', 'their', 'selfsimilarity', 'with', 'respect', 'to', 'the', 'degreebased', 'renormalization']] | [-0.13669034648327189, 0.0849758058627087, -0.1021725856494812, 0.13889729753116212, -0.07071714807432472, -0.12665995886639217, 0.022482430807461862, 0.42735379999666884, -0.28072717559131743, -0.2909505961170796, 0.06443694324984231, -0.24655897340230776, -0.25576389862793514, 0.15289361758582426, -0.044707859089197756, 0.048033788097662886, 0.028354819846674473, 0.06293695486199699, -0.04350904283816354, -0.20924662351771667, 0.3710883869871236, 0.012358475639893297, 0.30562000635096376, 0.022896438385686724, 0.08589370787070182, -0.03631906386611885, -0.026933895411754127, 0.06664099100580961, -0.10164718072114179, 0.15216384082828371, 0.23009676549302463, 0.10652111173125409, 0.2346381184628658, -0.40319406041230094, -0.29032274252293927, 0.14994203030507555, 0.10439855760533216, 0.06809432907111682, -0.037526057438777856, -0.28692101324467284, 0.13861672625174387, -0.12046132903350026, -0.1559710040149328, -0.12306115886997104, 0.00668068011618105, 0.0035388890961225946, -0.24382811388166278, 0.05417604228122193, 0.07734361281128306, 0.02054422985141476, -0.059725549063857714, -0.04182130825223826, -0.04832503216529036, 0.12387197751147476, 0.038996134669185015, -0.006456633282237147, 0.09344615972306776, -0.13404831877223364, -0.15968178115425663, 0.3810507980943249, -0.03259168457435934, -0.21869692720244066, 0.18462879805449853, -0.11011473664384858, -0.2261791705570527, 0.06629214924555925, 0.1686324629883625, 0.08690221579091852, -0.0981958270105615, 0.06196370107283113, -0.11049989233888163, 0.14466721565756752, 0.028874531690554137, 0.07076769787613955, 0.14912854626840144, 0.1687637538977964, 0.05753299928466348, 0.1100038025924413, -0.06746696069705904, -0.14136326594355828, -0.33138114561147075, -0.13647890885425895, -0.1719123310074537, 0.03897305220373694, -0.1876573173385144, -0.1841130627670505, 0.396662578614843, 0.17132186865956897, 0.27225679610529097, 0.08654486054856853, 0.22280502232739277, 0.05110041667674586, 0.08318186008060972, 0.08380663385124583, 0.1986489015519813, 0.14955178035214836, 0.07617437904047077, -0.16282682080309951, 0.11708013292630776, 0.04859756991030289] |
710.2093 | Boundary action of the H3+ model | We find the boundary action for Euclidean AdS2 D-branes in H3+. This action
is consistent with the D-branes' symmetries and with the H3+-Liouville relation
for disc correlators. It can be used for performing free-field calculations in
the H3+ model with boundaries. We explicitly perform the Coulomb-like integrals
which appear in the free-field calculation of the bulk one-point function, and
find agreement with previously known conformal bootstrap results.
| hep-th | we find the boundary action for euclidean ads2 dbranes in h3 this action is consistent with the dbranes symmetries and with the h3liouville relation for disc correlators it can be used for performing freefield calculations in the h3 model with boundaries we explicitly perform the coulomblike integrals which appear in the freefield calculation of the bulk onepoint function and find agreement with previously known conformal bootstrap results | [['we', 'find', 'the', 'boundary', 'action', 'for', 'euclidean', 'ads2', 'dbranes', 'in', 'h3', 'this', 'action', 'is', 'consistent', 'with', 'the', 'dbranes', 'symmetries', 'and', 'with', 'the', 'h3liouville', 'relation', 'for', 'disc', 'correlators', 'it', 'can', 'be', 'used', 'for', 'performing', 'freefield', 'calculations', 'in', 'the', 'h3', 'model', 'with', 'boundaries', 'we', 'explicitly', 'perform', 'the', 'coulomblike', 'integrals', 'which', 'appear', 'in', 'the', 'freefield', 'calculation', 'of', 'the', 'bulk', 'onepoint', 'function', 'and', 'find', 'agreement', 'with', 'previously', 'known', 'conformal', 'bootstrap', 'results']] | [-0.09094004222953861, 0.10853610450938118, -0.08587054050329959, 0.11755422677026328, -0.02632668044305209, -0.0999905898828398, -0.024967505046251146, 0.38809236799451435, -0.1557317910200888, -0.2511589336632328, 0.06890468072379008, -0.27824405885555525, -0.16223853956696324, 0.13356090725794662, -0.022990451166124054, 0.08518049230968411, 0.029831129634244877, 0.05302647969713717, -0.13484839784602323, -0.2573248642694318, 0.31413740558888426, 0.0075665862920383615, 0.2604487558657473, 0.04876602810073757, 0.04522933674073129, -0.0052881279843859375, -0.03664832855715896, 0.004936218151476968, -0.17559034096528636, 0.09096210801825774, 0.23789409521233404, -0.002419707788662477, 0.0535556310505578, -0.4543482813363274, -0.21841183038089762, 0.051018916989436766, 0.1683102031802815, 0.14011846940477632, 0.00658370523755862, -0.2783261145549742, 0.024799771282370344, -0.16122286040053674, -0.19325935750296622, -0.09913742641749029, -0.009254229050411872, -0.08564320950289116, -0.2649652096725097, 0.13840312828930715, -0.011626017195257273, 0.0524647153769999, -0.11090840181956689, -0.07068882312512759, -0.08924908576194536, 0.11852949346895471, 0.10955936859086664, 0.1254779456684253, 0.11288579539960307, -0.15556589812816432, -0.11450623135368171, 0.37438577385337063, -0.09629527456303494, -0.27971502132431575, 0.169423904051214, -0.19087743912964608, -0.1690242095554078, 0.06751080145212737, 0.03637354367652513, 0.14002974337728863, -0.13126478520588894, 0.202030213632635, -0.03383352344848611, 0.08385490270500834, 0.0613551136021587, -0.00015598915221441226, 0.22401031215364733, 0.06184233425918854, 0.010191702199253168, 0.1623386438868968, -0.05968669469990401, -0.1305417144021979, -0.4134480737601266, -0.13019125025973402, -0.1139569218468034, 0.06538526616482572, -0.15863756584947236, -0.2017601320632931, 0.3190163675921433, 0.1236468557659519, 0.20749655710251041, 0.09422413633155609, 0.20685196577599554, 0.15789057909877915, 0.13618152930090824, 0.11122143301745933, 0.238503072664819, 0.1251472950750736, 0.02228251773207872, -0.26051497694358905, -0.07499799978033865, 0.17381175566168333] |
710.2094 | Improving Guess Geminals for the Geminal Mean Field Configuration
Interaction Method | The purpose of this letter is to show that a rotation of Hartree-Fock
canonical orbitals which minimizes the lowest eigenvalues of a configuration
interaction calculation limited to the mono-excitated configurations from a
given orbital allows one to construct a better starting guess for the geminal
mean field configuration interaction method.
| physics.chem-ph quant-ph | the purpose of this letter is to show that a rotation of hartreefock canonical orbitals which minimizes the lowest eigenvalues of a configuration interaction calculation limited to the monoexcitated configurations from a given orbital allows one to construct a better starting guess for the geminal mean field configuration interaction method | [['the', 'purpose', 'of', 'this', 'letter', 'is', 'to', 'show', 'that', 'a', 'rotation', 'of', 'hartreefock', 'canonical', 'orbitals', 'which', 'minimizes', 'the', 'lowest', 'eigenvalues', 'of', 'a', 'configuration', 'interaction', 'calculation', 'limited', 'to', 'the', 'monoexcitated', 'configurations', 'from', 'a', 'given', 'orbital', 'allows', 'one', 'to', 'construct', 'a', 'better', 'starting', 'guess', 'for', 'the', 'geminal', 'mean', 'field', 'configuration', 'interaction', 'method']] | [-0.14793071960460166, 0.07647865657143448, -0.12024646728983795, 0.08329676208561476, -0.05691858601509309, -0.09500956476418948, 0.06169682052176522, 0.3268332377228202, -0.22629764461319665, -0.31524408053682773, -0.04925674093621118, -0.2540226368170008, -0.11384770091699094, 0.11396372620472495, 0.008525108576429134, -0.0020505715332621213, 0.11253111671694384, 0.06394122247299065, -0.14390455439629757, -0.1775383332563678, 0.31356617217712407, 0.07851605402419762, 0.24544800712479925, -0.0020826810766581675, 0.12374240792907622, 0.04346744064241648, 0.08598998675541002, -0.019730310963124643, -0.10369737211175914, 0.16115758695392585, 0.2045892855670417, 0.07959093742680792, 0.2856802620297792, -0.3958823182525075, -0.14212881279539089, 0.06115961312411391, 0.13382003879250617, 0.2118788358199467, 0.0031133107270817366, -0.22332346519189222, 0.04716214749039084, -0.21269322734098045, -0.19969669142167787, -0.08682906046053585, 0.037338482988143, 0.010189927389788233, -0.35656027512966976, 0.016515795569106633, 0.007693190393703324, 0.025634204170533588, -0.11120098859798733, -0.12342109114919998, -0.04443652523035298, 0.10032559570153149, 0.027457895950053116, 0.11417928729586456, 0.08642938490766956, -0.07505817842023561, -0.08289201434093471, 0.41980256763648016, -0.03819565872224618, -0.24538162027542687, 0.1202131115774415, -0.14986171489296368, -0.08260605027138883, 0.15972129491214848, 0.11340400048564854, 0.1524083162372818, -0.14860669993890488, 0.06900905385347349, -0.010717533794896943, 0.21130837363247967, 0.029411754038717066, -0.02259428508351652, 0.17887718206727687, 0.10915965656987486, 0.11163487847495292, 0.14081174465922677, -0.10949793107313466, -0.16170769899475332, -0.2748604184206651, -0.13735209173541896, -0.2797818179717477, 0.07370477317053141, -0.04232930843433251, -0.20742070002063195, 0.4566954402253032, 0.16031100061170908, 0.18283144855985836, 0.025165289927901208, 0.3046570804578309, 0.11963075196028364, 0.058893289207956015, 0.040319269836633184, 0.23269253961589872, 0.15672183133737774, 0.021820284730317642, -0.24677901095900762, 0.0004408368935846553, 0.08833012216705449] |
710.2095 | Entanglement in spatially inhomogeneous many-fermion systems | We investigate entanglement of strongly interacting fermions in spatially
inhomogeneous environments. To quantify entanglement in the presence of spatial
inhomogeneity, we propose a local-density approximation (LDA) to the
entanglement entropy, and a nested LDA scheme to evaluate the entanglement
entropy on inhomogeneous density profiles. These ideas are applied to models of
electrons in superlattice structures with different modulation patterns,
electrons in a metallic wire in the presence of impurities, and phase-separated
states in harmonically confined many-fermion systems, such as electrons in
quantum dots and atoms in optical traps. We find that the entanglement entropy
of inhomogeneous systems is strikingly different from that of homogeneous
systems.
| cond-mat.str-el cond-mat.stat-mech quant-ph | we investigate entanglement of strongly interacting fermions in spatially inhomogeneous environments to quantify entanglement in the presence of spatial inhomogeneity we propose a localdensity approximation lda to the entanglement entropy and a nested lda scheme to evaluate the entanglement entropy on inhomogeneous density profiles these ideas are applied to models of electrons in superlattice structures with different modulation patterns electrons in a metallic wire in the presence of impurities and phaseseparated states in harmonically confined manyfermion systems such as electrons in quantum dots and atoms in optical traps we find that the entanglement entropy of inhomogeneous systems is strikingly different from that of homogeneous systems | [['we', 'investigate', 'entanglement', 'of', 'strongly', 'interacting', 'fermions', 'in', 'spatially', 'inhomogeneous', 'environments', 'to', 'quantify', 'entanglement', 'in', 'the', 'presence', 'of', 'spatial', 'inhomogeneity', 'we', 'propose', 'a', 'localdensity', 'approximation', 'lda', 'to', 'the', 'entanglement', 'entropy', 'and', 'a', 'nested', 'lda', 'scheme', 'to', 'evaluate', 'the', 'entanglement', 'entropy', 'on', 'inhomogeneous', 'density', 'profiles', 'these', 'ideas', 'are', 'applied', 'to', 'models', 'of', 'electrons', 'in', 'superlattice', 'structures', 'with', 'different', 'modulation', 'patterns', 'electrons', 'in', 'a', 'metallic', 'wire', 'in', 'the', 'presence', 'of', 'impurities', 'and', 'phaseseparated', 'states', 'in', 'harmonically', 'confined', 'manyfermion', 'systems', 'such', 'as', 'electrons', 'in', 'quantum', 'dots', 'and', 'atoms', 'in', 'optical', 'traps', 'we', 'find', 'that', 'the', 'entanglement', 'entropy', 'of', 'inhomogeneous', 'systems', 'is', 'strikingly', 'different', 'from', 'that', 'of', 'homogeneous', 'systems']] | [-0.15819312949620543, 0.21930239683992805, -0.0719053513547849, 0.08287896708740543, 0.09942174571832375, -0.18383086799599585, 0.03400778061532903, 0.41147301956301646, -0.24486845934852247, -0.24344408930323663, -0.03545899631987725, -0.3285831352518428, -0.0986417927823606, 0.10184182136186531, 0.008061903799396185, 0.05131906673701624, 0.000547367837723522, -0.042860834069904825, -0.0991207714813451, -0.2323908805536727, 0.3426524459073941, 0.023576919609192937, 0.3327937679631369, 0.07066755879315592, 0.018649062629611718, -0.007273657642127502, 0.07975969695973964, 0.0519093205265346, -0.1285758688831092, 0.11070248141962415, 0.28064664142096135, -0.02930303931435836, 0.22531131882043112, -0.49738190324888343, -0.28159147787484384, 0.06208250185119964, 0.17255778510034794, 0.1924308556420285, -0.03496623861137778, -0.31065587485652596, -0.044763973568167005, -0.16787794985409293, -0.14625699745402448, -0.09783051645471937, -0.0017609454159225736, 0.05063041017967321, -0.23953465159450257, 0.18882602442588126, 0.03831144872875441, 0.04499636146993864, -0.09984540804511025, -0.003130728556286721, 0.006149774596893361, 0.02765526395024998, -0.024346717413780944, -0.02935487207113987, 0.16208431326473752, -0.12234150226265358, -0.125387917223963, 0.36078493875407036, -0.10324597514811017, -0.18684104553290776, 0.24328544672933364, -0.15850526301988532, -0.07362210523071033, 0.08525134640346681, 0.2094897848465258, 0.07756447069612997, -0.1337282576398658, 0.06466256243182301, -0.03839839332005275, 0.18539454548486642, 0.04803861694942627, 0.12092030927361477, 0.2468984646068531, 0.09137289420191554, 0.0484248847035425, 0.22168869759355272, -0.09324473874155609, -0.1479160396027423, -0.18953020811258328, -0.17931945559879145, -0.2526955285286974, 0.03512078560001793, -0.08720655359197518, -0.22335214187346752, 0.40608288994224584, 0.16349571578736816, 0.1511479749832125, -0.08364181929223594, 0.24770780585351446, 0.09480567377038478, 0.033734955771693165, 0.09395809240550512, 0.18578467099411813, 0.1889160076028756, 0.07368039107393651, -0.2836786280009186, -0.010444624863919758, 0.027617936823073598] |
710.2096 | A geometric approach to full Colombeau algebras | We present a geometric approach to diffeomorphism invariant full Colombeau
algebras which allows a particularly clear view on the construction of the
intrinsically defined algebra $\hat{\mathcal G}(M)$ on the manifold $M$ given
in (Grosser et al., Adv. Math. 166 (2002), 179--206).
| math.FA | we present a geometric approach to diffeomorphism invariant full colombeau algebras which allows a particularly clear view on the construction of the intrinsically defined algebra hatmathcal gm on the manifold m given in grosser et al adv math 166 2002 179206 | [['we', 'present', 'a', 'geometric', 'approach', 'to', 'diffeomorphism', 'invariant', 'full', 'colombeau', 'algebras', 'which', 'allows', 'a', 'particularly', 'clear', 'view', 'on', 'the', 'construction', 'of', 'the', 'intrinsically', 'defined', 'algebra', 'hatmathcal', 'gm', 'on', 'the', 'manifold', 'm', 'given', 'in', 'grosser', 'et', 'al', 'adv', 'math', '166', '2002', '179206']] | [-0.1549286655616015, -0.012211160827428102, -0.11257055213209241, 0.02917536291060969, -0.15781795184593647, -0.08188500909600407, 0.004052754753502086, 0.33102178368717433, -0.2296138327445078, -0.3511037455871701, 0.04957044941256754, -0.17887440330268872, -0.24078264068812133, 0.16057543801725843, -0.24930261513218283, 0.008580196928232909, 0.046546097693499176, -0.04020538589684293, -0.12743236776441336, -0.24056087378558005, 0.3416191220283508, 0.07751360129914246, 0.24892696202732623, -0.025833851189236156, 0.16872930717654527, 0.08233956884359941, -0.1057604664703831, 0.002763255126774311, -0.2166555592790246, 0.1059668206376955, 0.253108749166131, 0.07695593878161162, 0.20280287307687103, -0.2792517484165728, -0.13395191134695777, 0.10522268349304795, 0.048901251796633, -0.00017880228406284005, 0.02098681768111419, -0.36016901060938833, 0.04767561481712619, -0.1693356382427737, -0.10876672728918493, -0.06209453879855573, 0.15640364130958914, -0.1107536036754027, -0.2591442012155312, 0.04746036286232993, 0.16552151283249258, 0.13640331286005675, -0.03273671022761846, -0.11461910776561127, -0.11894965143874288, -0.0058247222332283854, -0.1590284625533968, 0.11803962009726092, 0.11386507549323141, 0.016867812047712503, -0.13517119784955867, 0.3322268096264452, -0.023603309190366416, -0.19286401136778294, 0.20098424407187848, -0.12123252395540476, -0.21082448563538492, 0.08855040268972517, 0.12508396212360823, 0.14829616795759648, -0.07572070288006216, 0.24358171689091251, -0.13926468803547323, 0.08049906820524484, 0.11806183019652963, -0.04413725747726858, 0.11632613195106387, 0.09228154192678631, 0.049442867224570364, 0.06311589637771249, 8.487213053740562e-05, -0.08791506753332215, -0.32813239300157876, -0.17726211691115168, -0.13961654949234797, 0.1881606388837099, -0.01898109642788768, -0.14898363268002868, 0.3796442337334156, 0.09720213916152716, 0.17116230584215372, 0.06127570226381067, 0.12949908091686665, 0.05515889052767307, 0.019085236283717676, 0.13597236138302832, 0.16267893305048348, 0.2589727580547333, 0.12237407655920833, -0.11252435115166008, -0.10537208573659881, 0.17795757509302348] |
710.2097 | The algebra of Wilson-'t Hooft operators | We study the Operator Product Expansion of Wilson-'t Hooft operators in a
twisted N=4 super-Yang-Mills theory with gauge group G. The Montonen-Olive
duality puts strong constraints on the OPE and in the case G=SU(2) completely
determines it. From the mathematical point of view, the Montonen-Olive duality
predicts the L^2 Dolbeault cohomology of certain equivariant vector bundles on
Schubert cells in the affine Grassmannian. We verify some of these predictions.
We also make some general observations about higher categories and defects in
Topological Field Theories.
| hep-th math.AG | we study the operator product expansion of wilsont hooft operators in a twisted n4 superyangmills theory with gauge group g the montonenolive duality puts strong constraints on the ope and in the case gsu2 completely determines it from the mathematical point of view the montonenolive duality predicts the l2 dolbeault cohomology of certain equivariant vector bundles on schubert cells in the affine grassmannian we verify some of these predictions we also make some general observations about higher categories and defects in topological field theories | [['we', 'study', 'the', 'operator', 'product', 'expansion', 'of', 'wilsont', 'hooft', 'operators', 'in', 'a', 'twisted', 'n4', 'superyangmills', 'theory', 'with', 'gauge', 'group', 'g', 'the', 'montonenolive', 'duality', 'puts', 'strong', 'constraints', 'on', 'the', 'ope', 'and', 'in', 'the', 'case', 'gsu2', 'completely', 'determines', 'it', 'from', 'the', 'mathematical', 'point', 'of', 'view', 'the', 'montonenolive', 'duality', 'predicts', 'the', 'l2', 'dolbeault', 'cohomology', 'of', 'certain', 'equivariant', 'vector', 'bundles', 'on', 'schubert', 'cells', 'in', 'the', 'affine', 'grassmannian', 'we', 'verify', 'some', 'of', 'these', 'predictions', 'we', 'also', 'make', 'some', 'general', 'observations', 'about', 'higher', 'categories', 'and', 'defects', 'in', 'topological', 'field', 'theories']] | [-0.19513404440589338, 0.09213908498072886, -0.07336547174989912, 0.10625481319480709, -0.10359639763399693, -0.14097204055481902, 0.03209930411512254, 0.33631675274643513, -0.25014728037196965, -0.1784244685744246, 0.10025877089702546, -0.2450510191542673, -0.21656128845643252, 0.08841626622181918, -0.14952228680652166, -0.000816679692694119, 0.018137001812214122, 0.0810061065158585, -0.12758693692185694, -0.2604635278704726, 0.4014112153284562, -0.023994516919455713, 0.274223744348135, 0.10579035861883312, 0.07255880769696973, 0.018795551848597825, -0.03620249012462972, -0.03877894448426863, -0.11533049303883065, 0.1599163311600153, 0.269075636909942, 0.054347541283017824, 0.11676875244648684, -0.46337880633239237, -0.12975835491947474, 0.10423620694893457, 0.11785760597281512, 0.056414739289764496, 0.03158341059627544, -0.2818488395035577, 0.046014990541152656, -0.16533149155189417, -0.1556649488311017, -0.0990897270385176, 0.01012397127453282, -0.06661861803149804, -0.24600332723708734, -0.0027717665462183676, 0.02278567885375759, 0.1291243835197141, -0.09957742554667805, -0.08510907587922356, -0.07992643962747284, 0.07352600145774583, 0.07164241019303777, 0.05459750083086658, 0.12434794408424447, -0.18362708121449464, -0.14425706713726477, 0.35144094592847286, -0.060723476621898864, -0.2098789548146583, 0.13200285157100075, -0.23190197855001315, -0.2623976829650235, 0.060600808882598015, 0.04986151100768309, 0.17324098311586394, -0.008746812552479761, 0.2258687682458133, -0.12204148739554166, 0.03825594277649153, 0.1044215882485289, 0.021963255500027333, 0.18896972407431653, 0.060728110547643155, 0.0508701296944526, 0.1145746031300708, 0.02041811897929403, -0.10997716565838173, -0.41747987760408295, -0.1842694856403839, -0.047294159164829624, 0.1537831588454234, -0.19612968699151506, -0.15719571703396337, 0.3697926696789052, 0.12872792464414878, 0.18599210365209728, 0.10837402546201788, 0.1716757486103147, 0.09958551195450127, 0.09530095807609282, 0.02183852838684938, 0.21142462885819396, 0.279845932864451, 0.04882249531580046, -0.1919303121255888, -0.11420054851277243, 0.2805501746035935] |
710.2098 | Propositional systems, Hilbert lattices and generalized Hilbert spaces | With this chapter we provide a compact yet complete survey of two most
remarkable "representation theorems": every arguesian projective geometry is
represented by an essentially unique vector space, and every arguesian Hilbert
geometry is represented by an essentially unique generalized Hilbert space. C.
Piron's original representation theorem for propositional systems is then a
corollary: it says that every irreducible, complete, atomistic, orthomodular
lattice satisfying the covering law and of rank at least 4 is isomorphic to the
lattice of closed subspaces of an essentially unique generalized Hilbert space.
Piron's theorem combines abstract projective geometry with lattice theory. In
fact, throughout this chapter we present the basic lattice theoretic aspects of
abstract projective geometry: we prove the categorical equivalence of
projective geometries and projective lattices, and the triple categorical
equivalence of Hilbert geometries, Hilbert lattices and propositional systems.
| quant-ph | with this chapter we provide a compact yet complete survey of two most remarkable representation theorems every arguesian projective geometry is represented by an essentially unique vector space and every arguesian hilbert geometry is represented by an essentially unique generalized hilbert space c pirons original representation theorem for propositional systems is then a corollary it says that every irreducible complete atomistic orthomodular lattice satisfying the covering law and of rank at least 4 is isomorphic to the lattice of closed subspaces of an essentially unique generalized hilbert space pirons theorem combines abstract projective geometry with lattice theory in fact throughout this chapter we present the basic lattice theoretic aspects of abstract projective geometry we prove the categorical equivalence of projective geometries and projective lattices and the triple categorical equivalence of hilbert geometries hilbert lattices and propositional systems | [['with', 'this', 'chapter', 'we', 'provide', 'a', 'compact', 'yet', 'complete', 'survey', 'of', 'two', 'most', 'remarkable', 'representation', 'theorems', 'every', 'arguesian', 'projective', 'geometry', 'is', 'represented', 'by', 'an', 'essentially', 'unique', 'vector', 'space', 'and', 'every', 'arguesian', 'hilbert', 'geometry', 'is', 'represented', 'by', 'an', 'essentially', 'unique', 'generalized', 'hilbert', 'space', 'c', 'pirons', 'original', 'representation', 'theorem', 'for', 'propositional', 'systems', 'is', 'then', 'a', 'corollary', 'it', 'says', 'that', 'every', 'irreducible', 'complete', 'atomistic', 'orthomodular', 'lattice', 'satisfying', 'the', 'covering', 'law', 'and', 'of', 'rank', 'at', 'least', '4', 'is', 'isomorphic', 'to', 'the', 'lattice', 'of', 'closed', 'subspaces', 'of', 'an', 'essentially', 'unique', 'generalized', 'hilbert', 'space', 'pirons', 'theorem', 'combines', 'abstract', 'projective', 'geometry', 'with', 'lattice', 'theory', 'in', 'fact', 'throughout', 'this', 'chapter', 'we', 'present', 'the', 'basic', 'lattice', 'theoretic', 'aspects', 'of', 'abstract', 'projective', 'geometry', 'we', 'prove', 'the', 'categorical', 'equivalence', 'of', 'projective', 'geometries', 'and', 'projective', 'lattices', 'and', 'the', 'triple', 'categorical', 'equivalence', 'of', 'hilbert', 'geometries', 'hilbert', 'lattices', 'and', 'propositional', 'systems']] | [-0.14066732665208778, 0.08269055679217734, -0.11538372086221002, 0.062083725726907665, -0.09366051212681416, -0.15181767672328347, -0.015537514038825114, 0.36234372406077564, -0.3572997317546138, -0.1474905169421905, 0.08647133213690222, -0.23196188091099984, -0.1574585734922579, 0.1704395442686387, -0.14278276246461205, 0.003491589359245858, 0.07174144750215898, 0.056644026524627134, -0.12391015774433858, -0.31488687593202785, 0.42386159319360567, -0.03284251016452629, 0.23059754670138954, 0.030221252264524986, 0.19547476816950435, 0.10592993495887831, -0.011819351492519666, 0.038509127934493084, -0.1659081528277624, 0.17770088691950628, 0.3441189589920713, 0.14148923919074013, 0.2082595633547683, -0.37186103722424585, -0.15722546422559963, 0.16397147517847388, 0.09924075574635115, 0.03498103221264822, 0.049702381419326015, -0.27324403664167213, 0.021882997132501657, -0.13370505807207042, -0.17460485896501773, -0.12315428950753819, 0.05793776206017465, -0.05546061506256797, -0.18638229424736105, -0.021123706503190044, 0.16051527972620233, 0.1841232790856769, -0.07296336823689255, -0.06519751012136221, -0.05390784342745249, 0.03278910763617745, -0.11909068799472618, 0.06221267891543588, 0.047467747950467765, -0.014965866877928488, -0.17130055046584317, 0.39240274656760066, 0.0074351986373872745, -0.21748607062307515, 0.1558308668322581, -0.1614635568147147, -0.17672531977575973, 0.1315765302791085, 0.07395582104406383, 0.10111228844000568, -0.061333228301789076, 0.22517304887944356, -0.17525659932901985, 0.15909347028464527, 0.0883953695472582, 0.07506662066255633, 0.15066928435046983, 0.13871670462308394, 0.08231463676836706, 0.1547466844383319, 0.07216067423105688, -0.10532845252830732, -0.3977677956279507, -0.19153014406967991, -0.16872858356936535, 0.15494509885801858, -0.14563988238742445, -0.18612052657452405, 0.3428503814839611, 0.04217319479002092, 0.15964577406735853, 0.08270783793475282, 0.24343941201056754, 0.05412698808280205, 0.017649276670912296, 0.05712514653227719, 0.1132011681627062, 0.2374361320713857, -0.009018041990011147, -0.07129765536173954, -0.05839251260591769, 0.2416415982774662] |
710.2099 | The structure and properties of vacancies in Si nano-crystals calculated
by real-space pseudopotential methods | The structure and properties of vacancies in a 2 nm Si nano-crystal are
studied using a real space density functional theory/pseudopotential method. It
is observed that a vacancy's electronic properties and energy of formation are
directly related to the local symmetry of the vacancy site. The formation
energy for vacancies and Frenkel pair are calculated. It is found that both
defects have lower energy in smaller crystals. In a 2 nm nano-crystal the
energy to form a Frenkel pair is 1.7 eV and the energy to form a vacancy is no
larger than 2.3 eV. The energy barrier for vacancy diffusion is examined via a
nudged elastic band algorithm.
| cond-mat.mtrl-sci | the structure and properties of vacancies in a 2 nm si nanocrystal are studied using a real space density functional theorypseudopotential method it is observed that a vacancys electronic properties and energy of formation are directly related to the local symmetry of the vacancy site the formation energy for vacancies and frenkel pair are calculated it is found that both defects have lower energy in smaller crystals in a 2 nm nanocrystal the energy to form a frenkel pair is 17 ev and the energy to form a vacancy is no larger than 23 ev the energy barrier for vacancy diffusion is examined via a nudged elastic band algorithm | [['the', 'structure', 'and', 'properties', 'of', 'vacancies', 'in', 'a', '2', 'nm', 'si', 'nanocrystal', 'are', 'studied', 'using', 'a', 'real', 'space', 'density', 'functional', 'theorypseudopotential', 'method', 'it', 'is', 'observed', 'that', 'a', 'vacancys', 'electronic', 'properties', 'and', 'energy', 'of', 'formation', 'are', 'directly', 'related', 'to', 'the', 'local', 'symmetry', 'of', 'the', 'vacancy', 'site', 'the', 'formation', 'energy', 'for', 'vacancies', 'and', 'frenkel', 'pair', 'are', 'calculated', 'it', 'is', 'found', 'that', 'both', 'defects', 'have', 'lower', 'energy', 'in', 'smaller', 'crystals', 'in', 'a', '2', 'nm', 'nanocrystal', 'the', 'energy', 'to', 'form', 'a', 'frenkel', 'pair', 'is', '17', 'ev', 'and', 'the', 'energy', 'to', 'form', 'a', 'vacancy', 'is', 'no', 'larger', 'than', '23', 'ev', 'the', 'energy', 'barrier', 'for', 'vacancy', 'diffusion', 'is', 'examined', 'via', 'a', 'nudged', 'elastic', 'band', 'algorithm']] | [-0.07919847644882759, 0.16270702635800396, -0.008832058110446841, 0.10465460689630601, 0.02811439560847012, -0.10667628015357035, 0.0555844631873899, 0.4583701512741822, -0.24768974500302984, -0.33604785051472763, -0.002848405105329153, -0.3334666277644121, -0.0715386983593581, 0.12713956438367152, 0.07766975811682642, -0.024541335771101767, 0.019044040197816987, 0.0028782488942077317, -0.054743159859855145, -0.20227229395769192, 0.25866112000464153, 0.08865855762053763, 0.3194116343295685, 0.14511546199112976, 0.01954091470947282, -0.01945458749240195, 0.10977266618067881, 0.015563436559373426, -0.18352943337244884, 0.14909989201394772, 0.2236207275763499, -0.03925071849004814, 0.2272128117749364, -0.42394314570076486, -0.2035772515713082, 0.047607951495727455, 0.10378534557660007, 0.12798063217714015, -0.09127416977598504, -0.22470959829580453, 0.13320001288903532, -0.11107239820908203, -0.10315397444733039, 0.007247022999864485, 0.03021415260930856, 0.018392664732851297, -0.23641080000379588, 0.13188264312877976, -0.0011968749480459977, 0.021666926556025392, -0.1505046428301958, -0.11987656902056187, -0.1655304394985756, 0.006144561619428849, -0.02303038103963007, 0.032640821067616343, 0.22763543001794326, -0.0626682513657552, -0.10153049009817618, 0.42476726395802367, -0.008744474585169141, -0.1165778050522527, 0.13681142120104697, -0.11348019257032622, -0.057620258661228475, 0.2453423849462221, 0.07486962921555257, 0.11450803916603844, -0.15730452376333737, 0.09656640206230804, 0.016409981088212656, 0.19636261700092023, 0.08477907785197238, 0.05420759587906542, 0.16931654173984295, 0.18180636973637673, 0.09017203058633809, 0.06718113012525632, -0.1435304996126366, -0.062482943021071456, -0.21109067126073772, -0.24530686958072087, -0.2535182246334713, 0.0638271567058163, -0.07446493213959642, -0.1660715215257369, 0.37993688929688046, 0.04229602686084238, 0.19819588583238698, -0.05414449480681301, 0.17958983498263276, 0.1423473423821162, 0.11041918677640045, 0.04714087634002445, 0.23312700598466177, 0.1329066637834465, 0.09499930485186202, -0.2255013527465053, 0.037790700819136366, 0.03306671808240935] |
710.21 | Kaon semileptonic decay form factors from N_f = 2 non-perturbatively
O(a)-improved Wilson fermions | We present first results from the QCDSF collaboration for the kaon
semileptonic decay form factors at zero momentum transfer, using two flavours
of non-perturbatively O(a)-improved Wilson quarks. A lattice determination of
these form factors is of particular interest to improve the accuracy on the CKM
matrix element |V_us|. Calculations are performed on lattices with lattice
spacing of about 0.08 fm with different values of light and strange quark
masses, which allows us to extrapolate to chiral limit. Employing double ratio
techniques, we are able to get small statistical errors.
| hep-lat | we present first results from the qcdsf collaboration for the kaon semileptonic decay form factors at zero momentum transfer using two flavours of nonperturbatively oaimproved wilson quarks a lattice determination of these form factors is of particular interest to improve the accuracy on the ckm matrix element v_us calculations are performed on lattices with lattice spacing of about 008 fm with different values of light and strange quark masses which allows us to extrapolate to chiral limit employing double ratio techniques we are able to get small statistical errors | [['we', 'present', 'first', 'results', 'from', 'the', 'qcdsf', 'collaboration', 'for', 'the', 'kaon', 'semileptonic', 'decay', 'form', 'factors', 'at', 'zero', 'momentum', 'transfer', 'using', 'two', 'flavours', 'of', 'nonperturbatively', 'oaimproved', 'wilson', 'quarks', 'a', 'lattice', 'determination', 'of', 'these', 'form', 'factors', 'is', 'of', 'particular', 'interest', 'to', 'improve', 'the', 'accuracy', 'on', 'the', 'ckm', 'matrix', 'element', 'v_us', 'calculations', 'are', 'performed', 'on', 'lattices', 'with', 'lattice', 'spacing', 'of', 'about', '008', 'fm', 'with', 'different', 'values', 'of', 'light', 'and', 'strange', 'quark', 'masses', 'which', 'allows', 'us', 'to', 'extrapolate', 'to', 'chiral', 'limit', 'employing', 'double', 'ratio', 'techniques', 'we', 'are', 'able', 'to', 'get', 'small', 'statistical', 'errors']] | [-0.05040086050036499, 0.259665068882528, -0.08248166107373793, 0.05136365720379595, -0.05859073627154144, -0.10666236733975873, 0.14903197285007644, 0.3766162300042892, -0.15255558176824216, -0.251323902798984, 0.027289125730880024, -0.34040025358230236, 0.008575333392226629, 0.14730654950149022, 0.041009834072856084, 0.14992726705539997, 0.11902575106281536, -0.007659506382357874, -0.17496506159267064, -0.23606304605648423, 0.33556405269394346, -0.017266561245817817, 0.240221607582539, 0.1408666828333327, 0.007062478304913874, -0.014859800195593513, -0.049043869892700334, -0.06534731447738543, -0.15163633677182364, 0.11939790978598712, 0.15932107751788782, -0.0006875673235718454, 0.10686819426966516, -0.34842338604889184, -0.11025771664016032, 0.06215021742528744, 0.15303594262464745, 0.12275325678932492, 0.018889396532511947, -0.27203898001043647, 0.11430524587840511, -0.19653213411318451, -0.15341928603357813, -0.18431928742603723, -0.04861028596570485, -0.04732866186564893, -0.39186496363973683, 0.05488886454487952, -0.10319519538976503, 0.07046481497313374, 0.03729261391929591, -0.3041208743881644, 0.041201243088109775, 0.1964941008717575, 0.120118039212807, 0.07415256227021304, 0.1322399410419166, -0.10307024427940754, -0.1210392889268487, 0.4527682638046949, -0.07480289211517639, -0.20361030996081242, 0.11708335166998479, -0.21071125118564185, -0.15500752940732107, 0.11069726708939945, 0.23016431083212072, 0.035703156211444834, -0.16650222952404384, 0.05904779503098427, -0.043853599389784795, 0.23194874632512377, 0.11717962906852866, 0.02372020711661892, 0.21993420805698366, 0.16433787391144322, -0.0445548239781448, 0.021295754356686486, -0.05784127923523944, -0.09444907466682155, -0.30429406759193106, -0.050648177461175434, -0.12781838419862887, 0.10388787628643298, -0.13968456755742154, -0.126518819606706, 0.36843561515567846, 0.13707367065519596, 0.2295631239546484, 0.01597189464412755, 0.25972461679510855, 0.07229282665118743, 0.098055873560625, 0.05433823609609534, 0.2529451101769829, 0.24376925612339395, 0.10396347318388773, -0.30024864556649805, -0.06965521876333972, 0.16462447311666406] |
710.2101 | Order one invariants of spherical curves | We give a complete description of all order 1 invariants of spherical curves.
We also identify the subspaces of all J-invariants and S-invariants, and
present two equalities satisfied by any spherical curve.
| math.GT | we give a complete description of all order 1 invariants of spherical curves we also identify the subspaces of all jinvariants and sinvariants and present two equalities satisfied by any spherical curve | [['we', 'give', 'a', 'complete', 'description', 'of', 'all', 'order', '1', 'invariants', 'of', 'spherical', 'curves', 'we', 'also', 'identify', 'the', 'subspaces', 'of', 'all', 'jinvariants', 'and', 'sinvariants', 'and', 'present', 'two', 'equalities', 'satisfied', 'by', 'any', 'spherical', 'curve']] | [-0.22346461561392061, 0.08801242834306322, -0.11424296710174531, 0.09683132154168561, -0.050802701560314745, -0.13447881197498646, 0.0003350149418110959, 0.29726571298670024, -0.22169886996562127, -0.24972253490705043, 0.09761904401239008, -0.27074728603474796, -0.15140815658378415, 0.2403853974537924, -0.07553146552891121, 0.016262769291643053, 0.037871015738346614, 0.014618444940424524, -0.14500943725943216, -0.3144858694868162, 0.39303121576085687, -0.12514559490955435, 0.12992558057885617, 0.017201069713337347, 0.10102523007662967, 0.04623290840390837, -0.00721256437827833, 0.029869934223825112, -0.2648120405210648, 0.15345427708234638, 0.24349944293498993, 0.16371884234831668, 0.10734877700451761, -0.41004743066150695, -0.13747754435462411, 0.23052436707075685, 0.10354438221838791, 0.051602941399323754, 0.018747658526990563, -0.17836830449232366, 0.1042250934697222, -0.1333424721378833, -0.19469051765918266, -0.17200663988478482, 0.03879776473331731, 0.05931499268626794, -0.19887093392026145, 0.02553830900342291, 0.16159782212343998, 0.15016426012152806, -0.09384546388173476, -0.10169613012112677, -0.005753540841396898, 0.10683645274548326, -0.03937287186272442, -0.0284853588527767, 0.023763185672578402, -0.04616038332460448, -0.11233817727770656, 0.39716443442739546, -0.007019356697128387, -0.199897971120663, 0.12659877860278357, -0.1742070793552557, -0.11797585952444933, 0.1519809530582279, 0.11020560131873935, 0.14291270356625319, -0.12851367850089446, 0.09129606023998349, -0.06651581090409309, 0.10322332804935286, 0.09597377211321145, 0.002606941561680287, 0.1444378552987473, -0.024697965709492564, 0.0360914503398817, 0.15015340468744398, -0.03351597371511161, 0.013084317732136697, -0.4480848389212042, -0.19798919087043032, -0.08004324822832132, 0.06850620932527818, -0.14735192127318442, -0.15222676657140255, 0.4502591273630969, 0.02929164795204997, 0.24600780429318547, 0.12247960251988843, 0.2462167142657563, 0.0653622652462218, -0.011536113684996963, 0.12738025153521448, 0.17400671320501715, 0.13083709634520346, -0.054249820474069566, -0.11868342882371508, -0.0237461597280344, 0.15939188620541245] |
710.2102 | Molecular Hydrogen and Global Star Formation Relations in Galaxies | (ABRIDGED) We use hydrodynamical simulations of disk galaxies to study
relations between star formation and properties of the molecular interstellar
medium (ISM). We implement a model for the ISM that includes low-temperature
(T<10^4K) cooling, directly ties the star formation rate to the molecular gas
density, and accounts for the destruction of H2 by an interstellar radiation
field from young stars. We demonstrate that the ISM and star formation model
simultaneously produces a spatially-resolved molecular-gas surface density
Schmidt-Kennicutt relation of the form Sigma_SFR \propto Sigma_Hmol^n_mol with
n_mol~1.4 independent of galaxy mass, and a total gas surface density -- star
formation rate relation Sigma_SFR \propto Sigma_gas^n_tot with a power-law
index that steepens from n_tot~2 for large galaxies to n_tot>~4 for small dwarf
galaxies. We show that deviations from the disk-averaged Sigma_SFR \propto
Sigma_gas^1.4 correlation determined by Kennicutt (1998) owe primarily to
spatial trends in the molecular fraction f_H2 and may explain observed
deviations from the global Schmidt-Kennicutt relation.
| astro-ph | abridged we use hydrodynamical simulations of disk galaxies to study relations between star formation and properties of the molecular interstellar medium ism we implement a model for the ism that includes lowtemperature t104k cooling directly ties the star formation rate to the molecular gas density and accounts for the destruction of h2 by an interstellar radiation field from young stars we demonstrate that the ism and star formation model simultaneously produces a spatiallyresolved moleculargas surface density schmidtkennicutt relation of the form sigma_sfr propto sigma_hmoln_mol with n_mol14 independent of galaxy mass and a total gas surface density star formation rate relation sigma_sfr propto sigma_gasn_tot with a powerlaw index that steepens from n_tot2 for large galaxies to n_tot4 for small dwarf galaxies we show that deviations from the diskaveraged sigma_sfr propto sigma_gas14 correlation determined by kennicutt 1998 owe primarily to spatial trends in the molecular fraction f_h2 and may explain observed deviations from the global schmidtkennicutt relation | [['abridged', 'we', 'use', 'hydrodynamical', 'simulations', 'of', 'disk', 'galaxies', 'to', 'study', 'relations', 'between', 'star', 'formation', 'and', 'properties', 'of', 'the', 'molecular', 'interstellar', 'medium', 'ism', 'we', 'implement', 'a', 'model', 'for', 'the', 'ism', 'that', 'includes', 'lowtemperature', 't104k', 'cooling', 'directly', 'ties', 'the', 'star', 'formation', 'rate', 'to', 'the', 'molecular', 'gas', 'density', 'and', 'accounts', 'for', 'the', 'destruction', 'of', 'h2', 'by', 'an', 'interstellar', 'radiation', 'field', 'from', 'young', 'stars', 'we', 'demonstrate', 'that', 'the', 'ism', 'and', 'star', 'formation', 'model', 'simultaneously', 'produces', 'a', 'spatiallyresolved', 'moleculargas', 'surface', 'density', 'schmidtkennicutt', 'relation', 'of', 'the', 'form', 'sigma_sfr', 'propto', 'sigma_hmoln_mol', 'with', 'n_mol14', 'independent', 'of', 'galaxy', 'mass', 'and', 'a', 'total', 'gas', 'surface', 'density', 'star', 'formation', 'rate', 'relation', 'sigma_sfr', 'propto', 'sigma_gasn_tot', 'with', 'a', 'powerlaw', 'index', 'that', 'steepens', 'from', 'n_tot2', 'for', 'large', 'galaxies', 'to', 'n_tot4', 'for', 'small', 'dwarf', 'galaxies', 'we', 'show', 'that', 'deviations', 'from', 'the', 'diskaveraged', 'sigma_sfr', 'propto', 'sigma_gas14', 'correlation', 'determined', 'by', 'kennicutt', '1998', 'owe', 'primarily', 'to', 'spatial', 'trends', 'in', 'the', 'molecular', 'fraction', 'f_h2', 'and', 'may', 'explain', 'observed', 'deviations', 'from', 'the', 'global', 'schmidtkennicutt', 'relation']] | [-0.049421101579597844, 0.1096878752897222, -0.09645164025792231, 0.1372124401666224, -0.04530949087658276, -0.010115449062238137, 0.05952559155994095, 0.3953826684875336, -0.1821556208531062, -0.32937026551614207, -0.06368220791608716, -0.2749057577798764, -0.061460952355215946, 0.1565859444408367, 0.005661760432024797, -0.05716008912577915, -0.025311067978230614, -0.1616388017963618, -0.05619084351540853, -0.2156124938915794, 0.31884345147758725, 0.09680130172520876, 0.18825989904503027, 0.0007625582395121456, 0.030164811165692907, -0.14939317733670274, -0.06973688481530796, -0.03318655085129042, -0.27056593545964763, 0.019022443547922496, 0.17913279764043788, 0.1108184167195092, 0.17486766630162795, -0.4152745845789711, -0.25696011731401086, 0.040600627964207284, 0.1927240736487632, 0.009098731090004246, -0.10075020091608167, -0.19339431466845175, 0.03894439617792765, -0.2279256617339949, -0.17032090705508987, 0.07704360062101236, 0.0645675694049957, 0.07522659349643315, -0.27537594225102413, 0.2673844922869466, -0.008987715983142455, 0.07749726025387645, -0.1277922431472689, -0.02045398516037191, -0.12573671179513138, 0.0547834988629135, 0.001823516977019608, 0.09995076507485161, 0.27255801857759554, -0.19066195722203702, 0.06288332020281814, 0.4184789352056881, -0.13179701746907085, 0.029604762813736064, 0.2494871391976873, -0.2624650571929912, -0.18039169571672878, 0.12425975886173546, 0.13867943381269773, 0.03893079351245736, -0.14672475353349002, 0.00023083139637795588, -0.05449792108110463, 0.24757471242453902, 0.030237054647877813, 0.03449117147373423, 0.33459214318543673, 0.08383480481182536, 0.013790797268350918, 0.06815986451071998, -0.18698421790148131, -0.0713003022906681, -0.19357048150462408, -0.12953732865241666, -0.14766925073383996, 0.12936023931019008, -0.16126800813663672, -0.06300310290263345, 0.2686395137306924, 0.06603417502793794, 0.24798205667485793, 0.14007603428481769, 0.28931132013366245, 0.10925212023391699, 0.10211507905895512, 0.17337608244270086, 0.23252060623684276, 0.24468906540734073, 0.05838880663660045, -0.3329826698747153, 0.09292392367807527, 0.028933478929296447] |
710.2103 | X-ray enabled MOCASSIN: a 3D code for photoionized media | We present a new version of the fully 3D photoionization and dust radiative
transfer code, MOCASSIN, that uses a Monte Carlo approach for the transfer of
radiation. The X-ray enabled MOCASSIN allows a fully geometry independent
description of low-density gaseous environments strongly photoionized by a
radiation field extending from radio to gamma rays. The code has been
thoroughly benchmarked against other established codes routinely used in the
literature, using simple plane parallel models designed to test performance
under standard conditions. We show the results of our benchmarking exercise and
discuss applicability and limitations of the new code, which should be of
guidance for future astrophysical studies with MOCASSIN.
| astro-ph | we present a new version of the fully 3d photoionization and dust radiative transfer code mocassin that uses a monte carlo approach for the transfer of radiation the xray enabled mocassin allows a fully geometry independent description of lowdensity gaseous environments strongly photoionized by a radiation field extending from radio to gamma rays the code has been thoroughly benchmarked against other established codes routinely used in the literature using simple plane parallel models designed to test performance under standard conditions we show the results of our benchmarking exercise and discuss applicability and limitations of the new code which should be of guidance for future astrophysical studies with mocassin | [['we', 'present', 'a', 'new', 'version', 'of', 'the', 'fully', '3d', 'photoionization', 'and', 'dust', 'radiative', 'transfer', 'code', 'mocassin', 'that', 'uses', 'a', 'monte', 'carlo', 'approach', 'for', 'the', 'transfer', 'of', 'radiation', 'the', 'xray', 'enabled', 'mocassin', 'allows', 'a', 'fully', 'geometry', 'independent', 'description', 'of', 'lowdensity', 'gaseous', 'environments', 'strongly', 'photoionized', 'by', 'a', 'radiation', 'field', 'extending', 'from', 'radio', 'to', 'gamma', 'rays', 'the', 'code', 'has', 'been', 'thoroughly', 'benchmarked', 'against', 'other', 'established', 'codes', 'routinely', 'used', 'in', 'the', 'literature', 'using', 'simple', 'plane', 'parallel', 'models', 'designed', 'to', 'test', 'performance', 'under', 'standard', 'conditions', 'we', 'show', 'the', 'results', 'of', 'our', 'benchmarking', 'exercise', 'and', 'discuss', 'applicability', 'and', 'limitations', 'of', 'the', 'new', 'code', 'which', 'should', 'be', 'of', 'guidance', 'for', 'future', 'astrophysical', 'studies', 'with', 'mocassin']] | [-0.013389298866968602, 0.03181225565451853, -0.07242467450150461, 0.09237260806494979, -0.06123192511990459, -0.13303771935817268, 0.005748646060022077, 0.4298604503618898, -0.222296143541354, -0.31177327966886675, 0.08690379872267065, -0.21175285747408956, -0.06665373417652315, 0.285289893961615, 0.0010757382648686569, 0.10200418098139818, 0.11200493848796382, -0.1135786317927004, -0.06919658221778702, -0.22686914851268133, 0.30906260199844837, 0.18899863581518056, 0.2490576221521392, 0.037560989663621445, 0.06070802080513978, -0.023716462125001406, -0.08440263451215017, 0.0196894488590597, -0.15958014789207986, 0.0959333372776638, 0.22223635705951758, 0.17648617617608883, 0.20861539320537337, -0.44300137530080974, -0.29538082948851363, 0.02562895544839126, 0.13294396091589955, 0.141859602673557, -0.12071347017600029, -0.25298938762905354, 0.06514364143529544, -0.24109397781150485, -0.10860998700890276, -0.04514648807579996, -0.058627811035236205, 0.028574707848882233, -0.2836738427264478, -0.02881931087122885, 0.004775307005426536, 0.062009640960712674, -0.05544335927212766, -0.10227212063640494, 0.023996950051730016, 0.11811762346230724, -0.0222184164913078, 0.029065298632270208, 0.14893629436846823, -0.09183096200986593, -0.13672512415710283, 0.4190501467480014, -0.07663745192500453, -0.16927365605995334, 0.25211086137116784, -0.11299930432276731, -0.13627783563074278, 0.16302241091465544, 0.17730947649451317, 0.14776566436652233, -0.18068180533332956, 0.09328224015889983, -0.03035752810710282, 0.171181450891136, -0.01685064734731525, -0.025558636308199278, 0.22719002590100798, 0.14775908669064478, -0.05326709686293422, 0.17997881131520477, -0.1428037947733645, -0.09104813767286639, -0.26794687177365023, -0.1383561946762105, -0.13017992544121593, 0.03572547002005632, -0.04315879966385115, -0.16535377534347828, 0.36073360483903716, 0.21394179624298382, 0.09808676023277696, 0.03497816313002086, 0.3687438658887037, 0.02715645165342182, 0.06200011046948256, 0.14770536656767405, 0.23748410496584796, 0.15116454589103037, 0.0721206655079085, -0.22248025144734937, 0.061135682803406206, 0.03632238470190377] |
710.2104 | Scalar Bilepton Dark Matter | In this work we show that 3-3-1 model with right-handed neutrinos has a
natural weakly interacting massive particle (WIMP) dark mater candidate. It is
a complex scalar with mass of order of some hundreds of GeV which carries two
units of lepton number, a scalar bilepton. This makes it a very peculiar WIMP,
very distinct from Supersymmetric or Extra-dimension candidates. Besides,
although we have to make some reasonable assumptions concerning the several
parameters in the model, no fine tunning is required in order to get the
correct dark matter abundance. We also analyze the prospects for WIMP direct
detection by considering recent and projected sensitivities for WIMP-nucleon
elastic cross section from CDMS and XENON Collaborations.
| hep-ph astro-ph hep-th | in this work we show that 331 model with righthanded neutrinos has a natural weakly interacting massive particle wimp dark mater candidate it is a complex scalar with mass of order of some hundreds of gev which carries two units of lepton number a scalar bilepton this makes it a very peculiar wimp very distinct from supersymmetric or extradimension candidates besides although we have to make some reasonable assumptions concerning the several parameters in the model no fine tunning is required in order to get the correct dark matter abundance we also analyze the prospects for wimp direct detection by considering recent and projected sensitivities for wimpnucleon elastic cross section from cdms and xenon collaborations | [['in', 'this', 'work', 'we', 'show', 'that', '331', 'model', 'with', 'righthanded', 'neutrinos', 'has', 'a', 'natural', 'weakly', 'interacting', 'massive', 'particle', 'wimp', 'dark', 'mater', 'candidate', 'it', 'is', 'a', 'complex', 'scalar', 'with', 'mass', 'of', 'order', 'of', 'some', 'hundreds', 'of', 'gev', 'which', 'carries', 'two', 'units', 'of', 'lepton', 'number', 'a', 'scalar', 'bilepton', 'this', 'makes', 'it', 'a', 'very', 'peculiar', 'wimp', 'very', 'distinct', 'from', 'supersymmetric', 'or', 'extradimension', 'candidates', 'besides', 'although', 'we', 'have', 'to', 'make', 'some', 'reasonable', 'assumptions', 'concerning', 'the', 'several', 'parameters', 'in', 'the', 'model', 'no', 'fine', 'tunning', 'is', 'required', 'in', 'order', 'to', 'get', 'the', 'correct', 'dark', 'matter', 'abundance', 'we', 'also', 'analyze', 'the', 'prospects', 'for', 'wimp', 'direct', 'detection', 'by', 'considering', 'recent', 'and', 'projected', 'sensitivities', 'for', 'wimpnucleon', 'elastic', 'cross', 'section', 'from', 'cdms', 'and', 'xenon', 'collaborations']] | [-0.09534134184536727, 0.21248760065468758, -0.060440775918085936, 0.13289976686077273, -0.12618556126000602, -0.16072043455813242, 0.020114249331147773, 0.34462271086547686, -0.1625805644966338, -0.392805945776079, 0.004662437248043716, -0.2951624784618616, -0.05680502162962828, 0.15199820256650287, 0.04246939616277814, 0.05831896528986323, 0.060536359195880914, 0.05895275237524639, -0.04337623887087988, -0.2747277999944661, 0.27409211053391513, 0.0657986046159235, 0.1537273047775354, 0.07166272713600294, 0.10742963136214277, -0.018346597764479076, -0.05134101405577815, -0.07177454635662878, -0.12802333397134055, 0.0912719774586351, 0.21116698166436476, 0.09492820594459772, 0.1255338819495038, -0.39661029989871643, -0.19502515829289738, 0.2183752072894055, 0.12319842507738782, 0.0948160727498243, -0.12843339205112148, -0.32602361498157617, 0.10195532663441871, -0.24256551230083342, -0.11013791009216853, -0.05554767259923012, 0.005776641602911379, -0.056000170961994195, -0.2645907236263156, 0.09825930628778777, -0.055443760420641176, -0.0427252573163613, -0.03816488518825044, -0.166310395674942, 0.0009712873087467059, -0.058295055112356074, 0.15274581734455475, -0.041665963739480665, 0.17377236946688399, -0.22022547242839052, -0.0852428915809192, 0.42938755005598067, -0.10898968763447002, -0.1751002895018167, 0.2136510508661361, -0.12630990616592538, -0.19854566054216222, 0.14244728407053195, 0.13942524832065986, 0.07578506938829695, -0.18006245304384957, 0.15021299168609245, -0.1096363165628408, 0.21418786041195625, 0.08606910780882059, 0.03643320870444017, 0.30800765564098304, 0.23922519645977602, 0.10537238501052817, 0.017681660405967546, -0.13184914565341466, -0.054109133634230366, -0.3602748439039873, -0.17908567651782348, -0.0951053528924999, 0.045562717006238096, -0.06772346170872207, -0.08365856400164573, 0.37649576123652007, 0.1651717327049245, 0.2501108558949731, 0.007036311514473156, 0.2967715380956297, 0.0434162767401532, 0.049953827780226, 0.003297132158489979, 0.3231837581625492, 0.15709658003736127, 0.0921743128489217, -0.14879552024295148, -0.012090173548937816, -0.00868486498442033] |
710.2105 | AEGIS: New Evidence Linking Active Galactic Nuclei to the Quenching of
Star Formation | Utilizing Chandra X-ray observations in the All-wavelength Extended Groth
Strip International Survey (AEGIS) we identify 241 X-ray selected Active
Galactic Nuclei (AGNs, L > 10^{42} ergs/s) and study the properties of their
host galaxies in the range 0.4 < z < 1.4. By making use of infrared photometry
from Palomar Observatory and BRI imaging from the Canada-France-Hawaii
Telescope, we estimate AGN host galaxy stellar masses and show that both
stellar mass and photometric redshift estimates (where necessary) are robust to
the possible contamination from AGNs in our X-ray selected sample. Accounting
for the photometric and X-ray sensitivity limits of the survey, we construct
the stellar mass function of X-ray selected AGN host galaxies and find that
their abundance decreases by a factor of ~2 since z~1, but remains roughly flat
as a function of stellar mass. We compare the abundance of AGN hosts to the
rate of star formation quenching observed in the total galaxy population. If
the timescale for X-ray detectable AGN activity is roughly 0.5-1 Gyr--as
suggested by black hole demographics and recent simulations--then we deduce
that the inferred AGN "trigger" rate matches the star formation quenching rate,
suggesting a link between these phenomena. However, given the large range of
nuclear accretion rates we infer for the most massive and red hosts, X-ray
selected AGNs may not be directly responsible for quenching star formation.
| astro-ph | utilizing chandra xray observations in the allwavelength extended groth strip international survey aegis we identify 241 xray selected active galactic nuclei agns l 1042 ergss and study the properties of their host galaxies in the range 04 z 14 by making use of infrared photometry from palomar observatory and bri imaging from the canadafrancehawaii telescope we estimate agn host galaxy stellar masses and show that both stellar mass and photometric redshift estimates where necessary are robust to the possible contamination from agns in our xray selected sample accounting for the photometric and xray sensitivity limits of the survey we construct the stellar mass function of xray selected agn host galaxies and find that their abundance decreases by a factor of 2 since z1 but remains roughly flat as a function of stellar mass we compare the abundance of agn hosts to the rate of star formation quenching observed in the total galaxy population if the timescale for xray detectable agn activity is roughly 051 gyras suggested by black hole demographics and recent simulationsthen we deduce that the inferred agn trigger rate matches the star formation quenching rate suggesting a link between these phenomena however given the large range of nuclear accretion rates we infer for the most massive and red hosts xray selected agns may not be directly responsible for quenching star formation | [['utilizing', 'chandra', 'xray', 'observations', 'in', 'the', 'allwavelength', 'extended', 'groth', 'strip', 'international', 'survey', 'aegis', 'we', 'identify', '241', 'xray', 'selected', 'active', 'galactic', 'nuclei', 'agns', 'l', '1042', 'ergss', 'and', 'study', 'the', 'properties', 'of', 'their', 'host', 'galaxies', 'in', 'the', 'range', '04', 'z', '14', 'by', 'making', 'use', 'of', 'infrared', 'photometry', 'from', 'palomar', 'observatory', 'and', 'bri', 'imaging', 'from', 'the', 'canadafrancehawaii', 'telescope', 'we', 'estimate', 'agn', 'host', 'galaxy', 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710.2106 | Large nearly regular induced subgraphs | For a real c \geq 1 and an integer n, let f(n,c) denote the maximum integer f
so that every graph on n vertices contains an induced subgraph on at least f
vertices in which the maximum degree is at most c times the minimum degree.
Thus, in particular, every graph on n vertices contains a regular induced
subgraph on at least f(n,1) vertices. The problem of estimating $(n,1) was
posed long time ago by Erdos, Fajtlowicz and Staton. In this note we obtain the
following upper and lower bounds for the asymptotic behavior of f(n,c):
(i) For fixed c>2.1, n^{1-O(1/c)} \leq f(n,c) \leq O(cn/\log n).
(ii) For fixed c=1+\epsilon with epsilon>0 sufficiently small, f(n,c) \geq
n^{\Omega(\epsilon^2/ \ln (1/\epsilon))}.
(iii) \Omega (\ln n) \leq f(n,1) \leq O(n^{1/2} \ln^{3/4} n).
An analogous problem for not necessarily induced subgraphs is briefly
considered as well.
| math.CO | for a real c geq 1 and an integer n let fnc denote the maximum integer f so that every graph on n vertices contains an induced subgraph on at least f vertices in which the maximum degree is at most c times the minimum degree thus in particular every graph on n vertices contains a regular induced subgraph on at least fn1 vertices the problem of estimating n1 was posed long time ago by erdos fajtlowicz and staton in this note we obtain the following upper and lower bounds for the asymptotic behavior of fnc i for fixed c21 n1o1c leq fnc leq ocnlog n ii for fixed c1epsilon with epsilon0 sufficiently small fnc geq nomegaepsilon2 ln 1epsilon iii omega ln n leq fn1 leq on12 ln34 n an analogous problem for not necessarily induced subgraphs is briefly considered as well | [['for', 'a', 'real', 'c', 'geq', '1', 'and', 'an', 'integer', 'n', 'let', 'fnc', 'denote', 'the', 'maximum', 'integer', 'f', 'so', 'that', 'every', 'graph', 'on', 'n', 'vertices', 'contains', 'an', 'induced', 'subgraph', 'on', 'at', 'least', 'f', 'vertices', 'in', 'which', 'the', 'maximum', 'degree', 'is', 'at', 'most', 'c', 'times', 'the', 'minimum', 'degree', 'thus', 'in', 'particular', 'every', 'graph', 'on', 'n', 'vertices', 'contains', 'a', 'regular', 'induced', 'subgraph', 'on', 'at', 'least', 'fn1', 'vertices', 'the', 'problem', 'of', 'estimating', 'n1', 'was', 'posed', 'long', 'time', 'ago', 'by', 'erdos', 'fajtlowicz', 'and', 'staton', 'in', 'this', 'note', 'we', 'obtain', 'the', 'following', 'upper', 'and', 'lower', 'bounds', 'for', 'the', 'asymptotic', 'behavior', 'of', 'fnc', 'i', 'for', 'fixed', 'c21', 'n1o1c', 'leq', 'fnc', 'leq', 'ocnlog', 'n', 'ii', 'for', 'fixed', 'c1epsilon', 'with', 'epsilon0', 'sufficiently', 'small', 'fnc', 'geq', 'nomegaepsilon2', 'ln', '1epsilon', 'iii', 'omega', 'ln', 'n', 'leq', 'fn1', 'leq', 'on12', 'ln34', 'n', 'an', 'analogous', 'problem', 'for', 'not', 'necessarily', 'induced', 'subgraphs', 'is', 'briefly', 'considered', 'as', 'well']] | [-0.22794036295237965, 0.1681436265187559, 0.04637235112528762, -0.007266466690571574, -0.023830428068269637, -0.24114648975512903, 0.05275292844052656, 0.3390743264209722, -0.2530428785940403, -0.2961331293580757, 0.07458193786779715, -0.38255850011077913, -0.0938250886046908, 0.09580491026239199, -0.06667765587622272, -0.027353211355807285, 0.009060014624728996, 0.1391112771074193, 0.00289061331304897, -0.30302260791337915, 0.23328231767737778, -0.0558243198050321, 0.11647474264348115, 0.08432822574631892, 0.10458826689400534, 0.04038311021429473, 0.06993360975014883, 0.041418930279441935, -0.23935013354033194, 0.0013940294485782151, 0.2569847248690338, 0.16460985695416835, 0.2906618924015134, -0.3653526350790871, -0.11686538024198102, 0.25204610411563644, 0.1921602849295174, -0.02452283357421908, 0.03997848418193694, -0.17055924121033994, 0.1949935155428028, -0.04636396399207339, -0.1521045501239301, 0.055845414612280285, 0.2218159160617253, -0.031059570787466077, -0.3621186319151488, 0.007338261357474857, 0.11660317727786394, 0.07000821913686156, 0.06547920994521321, -0.2561984346990568, -0.012450310339192873, 0.0553377608826006, -0.05584279276376617, 0.13407904726446376, -0.043534974733779236, -0.0925460962618303, -0.08695628282114648, 0.3032453299392069, -0.08728620585213281, -0.14371154157012916, 0.05872647802217229, -0.18418904380413934, -0.19203756130435437, 0.10991515567445237, 0.13657620082022218, 0.2519222906068561, -0.035376408778508936, 0.23184434253177472, -0.09312010714379342, 0.1674209591743631, 0.16688439411286643, -0.002660771369583149, 0.07083863996482198, 0.10911465374300715, 0.18504083178287029, 0.10446311517570513, 0.012650760238234332, 0.07206505152525083, -0.37707729922418576, -0.10559484235051533, -0.28311609940441407, 0.14456744507586575, -0.2307629378279882, -0.10774207154231524, 0.29909676606969343, 0.038099591016256505, 0.22240084269677923, 0.1463423852000615, 0.1785641409392617, 0.08896241887671658, -0.02165765634002299, 0.23233997898743206, 0.06128052810368979, 0.10588594109488084, -0.048030089188799044, -0.194078696896727, 0.06664907694389315, 0.15166412225242812] |
710.2107 | Whitehead moves for G-trees | We generalize the familiar notion of a Whitehead move from Culler and
Vogtmann's Outer space to the setting of deformation spaces of G-trees.
Specifically, we show that there are two moves, each of which transforms a
reduced G-tree into another reduced G-tree, that suffice to relate any two
reduced trees in the same deformation space. These two moves further factor
into three moves between reduced trees that have simple descriptions in terms
of graphs of groups. This result has several applications.
| math.GR | we generalize the familiar notion of a whitehead move from culler and vogtmanns outer space to the setting of deformation spaces of gtrees specifically we show that there are two moves each of which transforms a reduced gtree into another reduced gtree that suffice to relate any two reduced trees in the same deformation space these two moves further factor into three moves between reduced trees that have simple descriptions in terms of graphs of groups this result has several applications | [['we', 'generalize', 'the', 'familiar', 'notion', 'of', 'a', 'whitehead', 'move', 'from', 'culler', 'and', 'vogtmanns', 'outer', 'space', 'to', 'the', 'setting', 'of', 'deformation', 'spaces', 'of', 'gtrees', 'specifically', 'we', 'show', 'that', 'there', 'are', 'two', 'moves', 'each', 'of', 'which', 'transforms', 'a', 'reduced', 'gtree', 'into', 'another', 'reduced', 'gtree', 'that', 'suffice', 'to', 'relate', 'any', 'two', 'reduced', 'trees', 'in', 'the', 'same', 'deformation', 'space', 'these', 'two', 'moves', 'further', 'factor', 'into', 'three', 'moves', 'between', 'reduced', 'trees', 'that', 'have', 'simple', 'descriptions', 'in', 'terms', 'of', 'graphs', 'of', 'groups', 'this', 'result', 'has', 'several', 'applications']] | [-0.11406067431111026, 0.16444233226601357, -0.1083837601436693, 0.05513641407661554, -0.07506337106503823, -0.1173822505020157, 0.03151400132035768, 0.3628403289404548, -0.31642709941499764, -0.26039387722626145, 0.07564495561678929, -0.24366544690672998, -0.15984216999308562, 0.19111472268784305, -0.11782243047599439, -0.06481931967959728, 0.06457101700275585, 0.054244084030757714, -0.1272752279513458, -0.27657100282333513, 0.34311981189904023, -0.05839953307108379, 0.20809491352396614, -0.011838800316952445, 0.0941851160109595, 0.01923009643998043, -0.016062759639074404, 0.08193863693690848, -0.17395626260159913, 0.15631497253514368, 0.24107137264936795, 0.13264565140491835, 0.25528450816708764, -0.40742643113121574, -0.18411719950237943, 0.146266686114954, 0.14431525765124847, 0.07081542061038178, 0.024013671230662753, -0.24005661937005726, 0.07781864952204036, -0.18801015139453942, -0.0805265669722432, -0.0501076524824272, 0.01958230423833025, -0.004551511361367173, -0.18738710498552263, -0.040265209696911, 0.12787514504183223, -0.001755021730966774, -0.058900253992401244, -0.110565144309981, -0.058390018067403154, 0.18351703924759302, 0.015134690484652916, 0.03286660654056403, 0.10806892164350476, -0.08794461059338057, -0.1502160031914734, 0.3691134325884007, -0.009749590476721894, -0.2246207718587952, 0.19626580747879213, -0.13886743721862635, -0.20367849736623925, 0.14778334565495174, 0.125947107055029, 0.09506437973475751, -0.06058719902540798, 0.08631109308241579, -0.091339319806408, 0.09428375550074342, 0.1671750306174803, -0.017935983704426037, 0.11172695538994891, 0.10212643900426266, 0.1374170558360394, 0.19568384312277223, -0.003015060253717281, -0.08590501301597091, -0.28369280978761335, -0.20323437236157466, -0.10704463337732043, 0.01381256031792289, -0.1197753047373327, -0.16538840130166968, 0.36900394977886736, 0.11383251721660297, 0.22642759936804205, 0.09296006211625803, 0.25552289921468424, 0.06201181530860471, 0.09883381360293837, 0.07140751211202623, 0.15865717709846336, 0.1381295971273456, -0.00524751245573071, -0.1208223089845966, 3.8312529616149854e-05, 0.13974499541484278] |
710.2108 | On the isomorphism problem for generalized Baumslag-Solitar groups | Generalized Baumslag-Solitar groups (GBS groups) are groups that act on trees
with infinite cyclic edge and vertex stabilizers. Such an action is described
by a labeled graph (essentially, the quotient graph of groups). This paper
addresses the problem of determining whether two given labeled graphs define
isomorphic groups; this is the isomorphism problem for GBS groups. There are
two main results and some applications. First, we find necessary and sufficient
conditions for a GBS group to be represented by only finitely many reduced
labeled graphs. These conditions can be checked effectively from any labeled
graph. Then we show that the isomorphism problem is solvable for GBS groups
whose labeled graphs have first Betti number at most one.
| math.GR | generalized baumslagsolitar groups gbs groups are groups that act on trees with infinite cyclic edge and vertex stabilizers such an action is described by a labeled graph essentially the quotient graph of groups this paper addresses the problem of determining whether two given labeled graphs define isomorphic groups this is the isomorphism problem for gbs groups there are two main results and some applications first we find necessary and sufficient conditions for a gbs group to be represented by only finitely many reduced labeled graphs these conditions can be checked effectively from any labeled graph then we show that the isomorphism problem is solvable for gbs groups whose labeled graphs have first betti number at most one | [['generalized', 'baumslagsolitar', 'groups', 'gbs', 'groups', 'are', 'groups', 'that', 'act', 'on', 'trees', 'with', 'infinite', 'cyclic', 'edge', 'and', 'vertex', 'stabilizers', 'such', 'an', 'action', 'is', 'described', 'by', 'a', 'labeled', 'graph', 'essentially', 'the', 'quotient', 'graph', 'of', 'groups', 'this', 'paper', 'addresses', 'the', 'problem', 'of', 'determining', 'whether', 'two', 'given', 'labeled', 'graphs', 'define', 'isomorphic', 'groups', 'this', 'is', 'the', 'isomorphism', 'problem', 'for', 'gbs', 'groups', 'there', 'are', 'two', 'main', 'results', 'and', 'some', 'applications', 'first', 'we', 'find', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'a', 'gbs', 'group', 'to', 'be', 'represented', 'by', 'only', 'finitely', 'many', 'reduced', 'labeled', 'graphs', 'these', 'conditions', 'can', 'be', 'checked', 'effectively', 'from', 'any', 'labeled', 'graph', 'then', 'we', 'show', 'that', 'the', 'isomorphism', 'problem', 'is', 'solvable', 'for', 'gbs', 'groups', 'whose', 'labeled', 'graphs', 'have', 'first', 'betti', 'number', 'at', 'most', 'one']] | [-0.16279272174733317, 0.13581815662977392, -0.017914954226655073, 0.06496056587520875, -0.11150531672562163, -0.1470839918201041, 0.026628689927996226, 0.4444381272436207, -0.3594448801386767, -0.32355046142529476, 0.1481183517214834, -0.2622519744814843, -0.16632410634356815, 0.20356776667997623, -0.1442085059825331, -0.024602532290264517, 0.13407426497733702, 0.13024371391178197, 0.018027954595561467, -0.34778556582278125, 0.374472368023016, -0.07679974973205732, 0.210915145281161, 0.035068874215532064, 0.09782030205759737, -0.006349735680378527, -0.03948970943187865, 0.062058819410128474, -0.1416110727110426, 0.07663047650896618, 0.36124665610110146, 0.0824443247431937, 0.2038522425513619, -0.37589843816354745, -0.1631698078340572, 0.25123477090373, 0.12694114839069098, 0.08313537119195247, -0.045638822708637096, -0.2669851892492455, 0.16571626238700035, -0.15335214492251986, -0.04584634203750353, -0.021067286547050517, 0.03848102301136296, 0.004586761693955742, -0.21596713930877864, -0.018557589835463427, 0.05791531894037612, 0.08886388538297217, -0.04039851680167147, -0.09958071100851919, -0.04912089602225739, 0.18790206918890914, -0.0672183780489155, -0.015585181064521655, 0.07468751564812966, -0.0880669960194928, -0.1965511261175076, 0.3991151149424478, 0.06469436639792517, -0.2094709071306846, 0.170334815652643, -0.10221033490016165, -0.2587874570789819, 0.12241302208545116, 0.1006571979015174, 0.14580593525599211, -0.10304268563373221, 0.11240906112198767, -0.11920276700526986, 0.11306067156549703, 0.13670657761394978, -0.049253291936002225, 0.12107139615676342, 0.12347239516993873, 0.12644930106824517, 0.1895837460954984, 0.08287735167357466, 0.048686743753715456, -0.31463736173115736, -0.11754679238089384, -0.19568630253784677, 0.03430392330464644, -0.128710742211631, -0.17849966881072354, 0.3800348201050208, 0.10500359842076133, 0.15343453653522918, 0.11211887831823567, 0.20667898807571167, 0.04347886792015937, 0.09601823141416296, 0.14385126611122337, 0.05795141573896846, 0.18017519738636592, -0.10710763820829108, -0.12247023926689647, 0.03342233781909777, 0.17184956337158114] |
710.2109 | A new proof of the Erd\H{o}s-Ko-Rado theorem for intersecting families
of permutations | Let S(n) be the symmetric group on n points. A subset S of S(n) is
intersecting if for any pair of permutations \pi, \sigma in S there is a point
i in {1,...,n} such that \pi(i)=\sigma(i). Deza and Frankl \cite{MR0439648}
proved that if S a subset of S(n) is intersecting then |S| \leq (n-1)!.
Further, Cameron and Ku \cite{MR2009400} show that the only sets that meet this
bound are the cosets of a stabilizer of a point. In this paper we give a very
different proof of this same result.
| math.CO | let sn be the symmetric group on n points a subset s of sn is intersecting if for any pair of permutations pi sigma in s there is a point i in 1n such that piisigmai deza and frankl citemr0439648 proved that if s a subset of sn is intersecting then s leq n1 further cameron and ku citemr2009400 show that the only sets that meet this bound are the cosets of a stabilizer of a point in this paper we give a very different proof of this same result | [['let', 'sn', 'be', 'the', 'symmetric', 'group', 'on', 'n', 'points', 'a', 'subset', 's', 'of', 'sn', 'is', 'intersecting', 'if', 'for', 'any', 'pair', 'of', 'permutations', 'pi', 'sigma', 'in', 's', 'there', 'is', 'a', 'point', 'i', 'in', '1n', 'such', 'that', 'piisigmai', 'deza', 'and', 'frankl', 'citemr0439648', 'proved', 'that', 'if', 's', 'a', 'subset', 'of', 'sn', 'is', 'intersecting', 'then', 's', 'leq', 'n1', 'further', 'cameron', 'and', 'ku', 'citemr2009400', 'show', 'that', 'the', 'only', 'sets', 'that', 'meet', 'this', 'bound', 'are', 'the', 'cosets', 'of', 'a', 'stabilizer', 'of', 'a', 'point', 'in', 'this', 'paper', 'we', 'give', 'a', 'very', 'different', 'proof', 'of', 'this', 'same', 'result']] | [-0.171511758482833, 0.14044733697698378, -0.06828574722782633, 0.00832343275990637, -0.022832255620487976, -0.20164731694064264, 0.10993184085169957, 0.32853195906199256, -0.2474111660287298, -0.19065753013516465, 0.06575099995557818, -0.33501557521950237, -0.11388175099841907, 0.14678438837056573, -0.09785345272193181, -0.07876072919274542, 0.08597497666661424, 0.07564267501149369, -0.06008418535963557, -0.3279249656988286, 0.32126501857720574, -0.08749383726510508, 0.1797916349879969, 0.048341253900836254, 0.041907733082824826, -0.02730025001533929, 0.04060657576111884, 0.03195801969007429, -0.14568576292869442, 0.07889018800837555, 0.26546883040332586, 0.1827851776622407, 0.2208285641738738, -0.33676619473416575, -0.16415241603129382, 0.20638571451043433, 0.1505778064180551, 0.03553457983673133, -0.025836946984656668, -0.21607835807077502, 0.21208459982412986, -0.13433154689512034, -0.15088916724633383, 0.042213329146134446, 0.16163874928700342, 0.006381993353281213, -0.31873990783746214, -0.05096157751147817, 0.1424050042512773, 0.07424712446571767, 0.045396513198555886, -0.1420511521637204, -0.07133778552899415, 0.017259515457968604, -0.013613869674268296, 0.11649247726168611, -0.016344698301206034, -0.04315140141420409, -0.07876096283160579, 0.3764446638631581, -0.023432974735724515, -0.1754518409805565, 0.11679954193104272, -0.17009345503609585, -0.18659935640599365, 0.1030887455877516, 0.07732615278412898, 0.15943142343526598, -0.07629754983059976, 0.20942788458584496, -0.18721208314614735, 0.13212011228569773, 0.1303745780686109, 0.014177185130016557, 0.1476963279747415, 0.10156580021647715, 0.12039086315780878, 0.0912777874123669, -0.05469200075818119, 0.08113857892331207, -0.4101699225433256, -0.16752455401536742, -0.2207252701166375, 0.1897445760142786, -0.11278677110301984, -0.15013007951322302, 0.3585752587465719, 0.07131265398735802, 0.23255517835536138, 0.04976392557694652, 0.16232128058099884, 0.056948052280336274, -0.014167968413910303, 0.14379444653596515, 0.12093097273388813, 0.11500780501713355, -0.07613300025227597, -0.16469819711564088, 0.01317753814075185, 0.1517829362559935] |
710.211 | Stability and Adsorption Properties of Electrostatic Complexes : Design
of Hybrid Nanostructures for Coating Applications | We report the presence of a correlation between the bulk and interfacial
properties of electrostatic coacervate complexes. Complexes were obtained by
co-assembly between cationic-neutral diblocks and oppositely charged surfactant
micelles or 7 nm cerium oxide nanoparticles. Light scattering and reflectometry
measurements revealed that the hybrid nanoparticle aggregates were more stable
both through dilution and rinsing (from either a polystyrene or a silica
surfaces) than their surfactant counterparts. These findings were attributed to
a marked difference in critical association concentration between the two
systems and to the frozen state of the hybrid structures.
| cond-mat.soft cond-mat.mtrl-sci | we report the presence of a correlation between the bulk and interfacial properties of electrostatic coacervate complexes complexes were obtained by coassembly between cationicneutral diblocks and oppositely charged surfactant micelles or 7 nm cerium oxide nanoparticles light scattering and reflectometry measurements revealed that the hybrid nanoparticle aggregates were more stable both through dilution and rinsing from either a polystyrene or a silica surfaces than their surfactant counterparts these findings were attributed to a marked difference in critical association concentration between the two systems and to the frozen state of the hybrid structures | [['we', 'report', 'the', 'presence', 'of', 'a', 'correlation', 'between', 'the', 'bulk', 'and', 'interfacial', 'properties', 'of', 'electrostatic', 'coacervate', 'complexes', 'complexes', 'were', 'obtained', 'by', 'coassembly', 'between', 'cationicneutral', 'diblocks', 'and', 'oppositely', 'charged', 'surfactant', 'micelles', 'or', '7', 'nm', 'cerium', 'oxide', 'nanoparticles', 'light', 'scattering', 'and', 'reflectometry', 'measurements', 'revealed', 'that', 'the', 'hybrid', 'nanoparticle', 'aggregates', 'were', 'more', 'stable', 'both', 'through', 'dilution', 'and', 'rinsing', 'from', 'either', 'a', 'polystyrene', 'or', 'a', 'silica', 'surfaces', 'than', 'their', 'surfactant', 'counterparts', 'these', 'findings', 'were', 'attributed', 'to', 'a', 'marked', 'difference', 'in', 'critical', 'association', 'concentration', 'between', 'the', 'two', 'systems', 'and', 'to', 'the', 'frozen', 'state', 'of', 'the', 'hybrid', 'structures']] | [-0.1234953915966047, 0.22138976549689213, -0.07005381661102823, 0.004752946469006533, 0.06064025509049711, -0.15499014280857923, 0.05403768285886263, 0.4538972130774156, -0.23530532439927693, -0.31736104004085064, 0.030811999300646636, -0.3672074625349563, -0.11479619580432368, 0.13178917772703522, 0.04056992341318856, 0.003887857006781775, 0.018583833067880376, -0.1025818268991197, -0.046663344339163894, -0.14950890148200258, 0.26235288723736355, 0.01913492769792514, 0.2953249677489309, 0.10784868455653929, 0.04393769604781562, -0.013372436277163417, 0.06860751047244538, 0.05845147806078033, -0.1623076950229164, 0.15226509754100573, 0.20875256504539563, -0.09630378905643264, 0.16276117997324985, -0.47557051530431793, -0.2175868097376382, 0.06153582857286497, 0.1222554951243143, 0.09900076652917525, -0.1255415947736132, -0.27356166356121714, 0.07296521019231042, -0.0904954602023202, -0.09297798189926772, -0.0005593981249662845, -0.020072008594465646, 0.09400302218842704, -0.1949087273957127, 0.1105158117842739, 0.04102295103897948, 0.10416116975450321, -0.1280033589725423, -0.1560717468433406, -0.1469774586300406, 0.06089301948921512, 0.024196016703448866, -0.0414086249125514, 0.25085982713726873, -0.093677681157082, -0.08205922824550804, 0.3200443838014389, -0.05446710518346821, -0.13021734677781555, 0.2789851647761205, -0.1623776016615169, -0.011333709957240068, 0.23055719596880447, 0.12939947235661195, 0.1770034588888571, -0.16912066880309873, -0.036759272225975546, 0.020249267812291888, 0.2604837915885424, 0.16924351468965734, 0.010526706725257733, 0.2438917750512938, 0.18907970812110958, -0.03334361056635237, 0.1886712857319609, -0.1346006589541819, -0.051160748228025826, -0.14656246531471287, -0.2314627115189543, -0.14554200112900656, 0.02993301638280568, -0.10250843671051173, -0.1830179485866962, 0.27686702332499885, 0.024858703938029383, 0.14458718521358527, -0.01501479952181082, 0.18629299357543577, -0.0538628326903563, 0.05377214111175145, -0.02864127416852052, 0.27109248666902597, 0.20087166395767228, 0.10694907295882054, -0.256252996145201, 0.10070711679746518, 0.027579407855544403] |
710.2111 | R-Hadron and long lived particle searches at the LHC | If long lived charged particles exist, and produced at the LHC, they may
travel with velocity significantly slower than the speed of light. This unique
signature was not considered during the design of the LHC experiments, ATLAS
and CMS. As a result, hardware and trigger capabilities need to be evaluated.
Model independent approaches for finding long lived particles with the LHC
experiments are introduced. They are tested using two bench marks, one in GMSB
and one in Split SUSY. The focus is on hardware and trigger issues, as well as
reconstruction methods developed by ATLAS and CMS. Both experiments suggest
time of flight (TOF) based methods. However, the implementation is different.
In ATLAS a first beta estimation is done already at the trigger level. CMS also
uses dE/dx to estimate beta.
| hep-ex | if long lived charged particles exist and produced at the lhc they may travel with velocity significantly slower than the speed of light this unique signature was not considered during the design of the lhc experiments atlas and cms as a result hardware and trigger capabilities need to be evaluated model independent approaches for finding long lived particles with the lhc experiments are introduced they are tested using two bench marks one in gmsb and one in split susy the focus is on hardware and trigger issues as well as reconstruction methods developed by atlas and cms both experiments suggest time of flight tof based methods however the implementation is different in atlas a first beta estimation is done already at the trigger level cms also uses dedx to estimate beta | [['if', 'long', 'lived', 'charged', 'particles', 'exist', 'and', 'produced', 'at', 'the', 'lhc', 'they', 'may', 'travel', 'with', 'velocity', 'significantly', 'slower', 'than', 'the', 'speed', 'of', 'light', 'this', 'unique', 'signature', 'was', 'not', 'considered', 'during', 'the', 'design', 'of', 'the', 'lhc', 'experiments', 'atlas', 'and', 'cms', 'as', 'a', 'result', 'hardware', 'and', 'trigger', 'capabilities', 'need', 'to', 'be', 'evaluated', 'model', 'independent', 'approaches', 'for', 'finding', 'long', 'lived', 'particles', 'with', 'the', 'lhc', 'experiments', 'are', 'introduced', 'they', 'are', 'tested', 'using', 'two', 'bench', 'marks', 'one', 'in', 'gmsb', 'and', 'one', 'in', 'split', 'susy', 'the', 'focus', 'is', 'on', 'hardware', 'and', 'trigger', 'issues', 'as', 'well', 'as', 'reconstruction', 'methods', 'developed', 'by', 'atlas', 'and', 'cms', 'both', 'experiments', 'suggest', 'time', 'of', 'flight', 'tof', 'based', 'methods', 'however', 'the', 'implementation', 'is', 'different', 'in', 'atlas', 'a', 'first', 'beta', 'estimation', 'is', 'done', 'already', 'at', 'the', 'trigger', 'level', 'cms', 'also', 'uses', 'dedx', 'to', 'estimate', 'beta']] | [-0.04931363949146946, 0.20473890670553874, -0.09275641419946123, 0.08025072150746403, -0.04942479862596925, -0.21312903579082768, -0.051859503156924974, 0.3881068123888423, -0.19901691183789086, -0.35590677285382083, 0.1344209181021309, -0.2817798515938166, -0.028136257870026816, 0.23983422386502662, -0.00635833642623238, 0.10915542209080158, 0.14808697939871718, -0.003239895181573984, -0.04374085031343155, -0.27112976743178513, 0.18397510188226482, 0.13567986422509865, 0.2479020091314011, 0.08177979693762276, 0.10303371281981583, -0.01161881030771796, -0.07938486159928428, -0.013862732605909119, -0.08134782303992005, 0.0299023030830533, 0.2591374541156506, 0.13970316222876414, 0.21566694154837773, -0.43908990094907413, -0.13643556945994567, 0.13423514522199753, 0.16008977966653254, 0.055753480305340684, -0.10469853730235988, -0.32757910894130476, 0.11867623868041124, -0.19316718736592367, -0.11416749633806011, -0.013751793759412894, -0.023063649295452442, -0.014566437434582821, -0.2563595996408915, 0.045113787214753384, -0.03080852258859828, 0.053746345454963804, -0.024180241483654684, -0.14897167366282402, -0.01905400597291309, 0.07704136879289993, 0.09699699453181296, 0.03905687681403729, 0.18311942488182592, -0.13376915037368944, -0.1988062467390515, 0.317978604888643, -0.03864225695313591, -0.1773105999454856, 0.24868899552268864, -0.1490987055270243, -0.1242306521233484, 0.13311087222101578, 0.18732906430106583, 0.07416302235868141, -0.1596631278347878, 0.05568458168067123, 0.03799104959817731, 0.18203738512638387, 0.08731206864801072, 0.02764405226263836, 0.20072289849347116, 0.27381732831318073, 0.03718686455732766, 0.07421706732938364, -0.12965972234409673, -0.05815730978581941, -0.35532295346199644, -0.12118617447363284, -0.1675374010499595, -0.06260398202404675, 0.01346413038723448, -0.07301192406124173, 0.3797018619623917, 0.14740012512624065, 0.24134332656803478, 0.016293670072127845, 0.33092162471605846, 0.04899059847541125, 0.12561835477462763, 0.06726098476148402, 0.3053074524638364, 0.017455919811018666, 0.17576852444033245, -0.1773787340774016, 0.075605605172619, 0.075140256749267] |
710.2112 | Ab initio calculations of BaTiO3 and PbTiO3 (001) and (011) surface
structure | We present and discuss the results of calculations of surface relaxations and
rumplings for the (001) and (011) surfaces of BaTiO3 and PbTiO3, using a hybrid
B3PW description of exchange and correlation. On the (001) surfaces, we
consider both AO (A = Ba or Pb) and TiO2 terminations. In the former case, the
surface AO layer is found to relax inward for both materials, while outward
relaxations of all atoms in the second layer are found at both kinds of (001)
terminations and for both materials. The surface relaxation energies of BaO and
TiO2 terminations on BaTiO3 (001) are found to be comparable, as are those of
PbO and TiO2 on PbTiO3 (001), although in both cases the relaxation energy is
slightly larger for the TiO2 termination. As for the (011) surfaces, we
consider three types of surfaces, terminating on a TiO layer, a Ba or Pb layer,
or an O layer. Here, the relaxation energies are much larger for the
TiO-terminated than for the Ba or Pb-terminated surfaces. The relaxed surface
energy for the O-terminated surface is about the same as the corresponding
average of the TiO and Pb-terminated surfaces on PbTiO3, but much less than the
average of the TiO and Ba-terminated surfaces on BaTiO3. We predict a
considerable increase of the Ti-O chemical bond covalency near the BaTiO3 and
PbTiO3 (011) surface as compared to both the bulk and the (001) surface.
| cond-mat.mtrl-sci | we present and discuss the results of calculations of surface relaxations and rumplings for the 001 and 011 surfaces of batio3 and pbtio3 using a hybrid b3pw description of exchange and correlation on the 001 surfaces we consider both ao a ba or pb and tio2 terminations in the former case the surface ao layer is found to relax inward for both materials while outward relaxations of all atoms in the second layer are found at both kinds of 001 terminations and for both materials the surface relaxation energies of bao and tio2 terminations on batio3 001 are found to be comparable as are those of pbo and tio2 on pbtio3 001 although in both cases the relaxation energy is slightly larger for the tio2 termination as for the 011 surfaces we consider three types of surfaces terminating on a tio layer a ba or pb layer or an o layer here the relaxation energies are much larger for the tioterminated than for the ba or pbterminated surfaces the relaxed surface energy for the oterminated surface is about the same as the corresponding average of the tio and pbterminated surfaces on pbtio3 but much less than the average of the tio and baterminated surfaces on batio3 we predict a considerable increase of the tio chemical bond covalency near the batio3 and pbtio3 011 surface as compared to both the bulk and the 001 surface | [['we', 'present', 'and', 'discuss', 'the', 'results', 'of', 'calculations', 'of', 'surface', 'relaxations', 'and', 'rumplings', 'for', 'the', '001', 'and', '011', 'surfaces', 'of', 'batio3', 'and', 'pbtio3', 'using', 'a', 'hybrid', 'b3pw', 'description', 'of', 'exchange', 'and', 'correlation', 'on', 'the', '001', 'surfaces', 'we', 'consider', 'both', 'ao', 'a', 'ba', 'or', 'pb', 'and', 'tio2', 'terminations', 'in', 'the', 'former', 'case', 'the', 'surface', 'ao', 'layer', 'is', 'found', 'to', 'relax', 'inward', 'for', 'both', 'materials', 'while', 'outward', 'relaxations', 'of', 'all', 'atoms', 'in', 'the', 'second', 'layer', 'are', 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'surfaces', 'on', 'pbtio3', 'but', 'much', 'less', 'than', 'the', 'average', 'of', 'the', 'tio', 'and', 'baterminated', 'surfaces', 'on', 'batio3', 'we', 'predict', 'a', 'considerable', 'increase', 'of', 'the', 'tio', 'chemical', 'bond', 'covalency', 'near', 'the', 'batio3', 'and', 'pbtio3', '011', 'surface', 'as', 'compared', 'to', 'both', 'the', 'bulk', 'and', 'the', '001', 'surface']] | [-0.08585381180605979, 0.15117071004357874, 0.011982858124799255, 0.04110620181381819, 0.020562422807039373, -0.13940512129820176, 0.0797608103071227, 0.4318536045310762, -0.23872609131423564, -0.3188542602362978, 0.0640371381310176, -0.33588766981847584, -0.08681260226274326, 0.20339622144920527, 0.0036153827195762305, -0.01025058158898148, 0.001959999159664911, -0.07095391197824562, -0.14480793846626605, -0.2229718564957348, 0.24415585785855315, 0.0283335655614541, 0.2901445236478547, 0.09664210449534885, -0.03573849974882564, -0.03496894826470264, 0.12434815307517119, 0.013874663779735532, 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710.2113 | Periodic automorphisms of Takiff algebras, contractions, and
$\theta$-groups | Let $q$ be an algebraic Lie algebra and $q<m>$ a (generalised) Takiff
algebra. Any finite order automorphism $\theta$ of $q$ induces an automorphisms
of $q<m>$ of the same order, denoted $\Theta$. We study invariant-theoretic
properties of representations of the fixed point subalgebra of $\Theta$ on
other eigenspaces of $\Theta$ in $q<m>$.
| math.RT math.AG | let q be an algebraic lie algebra and qm a generalised takiff algebra any finite order automorphism theta of q induces an automorphisms of qm of the same order denoted theta we study invarianttheoretic properties of representations of the fixed point subalgebra of theta on other eigenspaces of theta in qm | [['let', 'q', 'be', 'an', 'algebraic', 'lie', 'algebra', 'and', 'qm', 'a', 'generalised', 'takiff', 'algebra', 'any', 'finite', 'order', 'automorphism', 'theta', 'of', 'q', 'induces', 'an', 'automorphisms', 'of', 'qm', 'of', 'the', 'same', 'order', 'denoted', 'theta', 'we', 'study', 'invarianttheoretic', 'properties', 'of', 'representations', 'of', 'the', 'fixed', 'point', 'subalgebra', 'of', 'theta', 'on', 'other', 'eigenspaces', 'of', 'theta', 'in', 'qm']] | [-0.26397538838871554, 0.11588875946244133, -0.11089936318789043, -0.026213974180613078, -0.14630813929982775, -0.1157670084149668, -0.03171474809813149, 0.28756754582419114, -0.38957964070141315, -0.19179534634538725, 0.043084690637210855, -0.2698079286252751, -0.12448571090285174, 0.11764469339201848, -0.10541000237286675, -0.0241251898308595, -0.04551706840192862, 0.20342184246207276, -0.2071812186280594, -0.18470128278668022, 0.3968218499988628, -0.03486770460856896, 0.15291156654483548, -0.007813783216418005, 0.12339724669707756, 0.03379589086398482, 0.05922449098023422, -0.04432259706835098, -0.17497877351136185, 0.05332228417882659, 0.2888327907113468, 0.08598316246734969, 0.19420310383315617, -0.3159794854182823, -0.0660707822489534, 0.22622803730123184, 0.1706775827333331, -0.09156709840046424, 0.02372472450894979, -0.276775842569038, 0.08324800367814068, -0.23137953117781995, -0.18883385202463934, -0.06460614958960637, 0.0829033734934295, -0.05766161248617459, -0.29944077309440165, -0.0026881705385212807, 0.11625873615198276, 0.2114326446043218, -0.011996540752257787, -0.1606900806278538, -0.08817905662398712, 0.06214901144780657, -0.07145490322955976, 0.10011230815457654, 0.10910789632950635, -0.11372536654565849, -0.15150495713540152, 0.41839636613925296, 0.04855416581381624, -0.25027067491821214, 0.025758093989947262, -0.24736234604143628, -0.15598930345446455, 0.058312569201613464, 0.07438485955308173, 0.17688515473741526, 0.05492218538169183, 0.27969076833117057, -0.12036548516548731, 0.09214854593829289, 0.10082352922900635, -0.04107762153680418, 0.11694938722340499, 0.03613045249207347, 0.018313123716735373, 0.11637306622316257, 0.06602127461548091, -0.01030301979249891, -0.44693725161692677, -0.1941544123304387, -0.12360939015999582, 0.17055235605906038, -0.21968277254314209, -0.16679074078360023, 0.3931819505113013, 0.11519797935205348, 0.196341466523853, 0.061960002352647925, 0.14044584067282723, 0.12021930793793324, 0.06819494981683936, 0.03143136305551903, 0.05254137627415213, 0.2954395392580944, -0.13269429069523717, -0.19450688106464406, -0.05276835696114337, 0.21990298778366515] |
710.2114 | Birth rates of SGRs and AXPs: delayed amplification of magnetic field | We present new determination of the birth rate of AXPs and SGRS and their
associated SNRs. We find a high birth rate of 1/(500 yr) for AXPs/SGRs and
1/(1700 yr) for associated SNRs. These high rates suggest that all massive
stars (greater than ~ 25 M_sun) give rise to remnants with magnetar-like
fields. Recent observations indicate that fossil fields cannot explain such
high fields in the progenitor stars. Dynamo mechanisms during the birth of the
neutron stars require spin rates much faster than either observations or theory
indicate. Here, we propose the neutron stars form with normal (~ 10^{12} G)
magnetic fields, which are then amplified to 10^{14}-10^{15} G after a delay of
a few hundred years. The amplification is speculated to be a consequence of
color ferromagnetism and occurs after the neutron star core reaches
quark-deconfinement density. This delayed amplification alleviates many
difficulties in interpreting simultaneously the high birth rate and high
magnetic fields of AXPs/SGRs and their link to massive stars.
| astro-ph | we present new determination of the birth rate of axps and sgrs and their associated snrs we find a high birth rate of 1500 yr for axpssgrs and 11700 yr for associated snrs these high rates suggest that all massive stars greater than 25 m_sun give rise to remnants with magnetarlike fields recent observations indicate that fossil fields cannot explain such high fields in the progenitor stars dynamo mechanisms during the birth of the neutron stars require spin rates much faster than either observations or theory indicate here we propose the neutron stars form with normal 1012 g magnetic fields which are then amplified to 10141015 g after a delay of a few hundred years the amplification is speculated to be a consequence of color ferromagnetism and occurs after the neutron star core reaches quarkdeconfinement density this delayed amplification alleviates many difficulties in interpreting simultaneously the high birth rate and high magnetic fields of axpssgrs and their link to massive stars | [['we', 'present', 'new', 'determination', 'of', 'the', 'birth', 'rate', 'of', 'axps', 'and', 'sgrs', 'and', 'their', 'associated', 'snrs', 'we', 'find', 'a', 'high', 'birth', 'rate', 'of', '1500', 'yr', 'for', 'axpssgrs', 'and', '11700', 'yr', 'for', 'associated', 'snrs', 'these', 'high', 'rates', 'suggest', 'that', 'all', 'massive', 'stars', 'greater', 'than', '25', 'm_sun', 'give', 'rise', 'to', 'remnants', 'with', 'magnetarlike', 'fields', 'recent', 'observations', 'indicate', 'that', 'fossil', 'fields', 'can', 'not', 'explain', 'such', 'high', 'fields', 'in', 'the', 'progenitor', 'stars', 'dynamo', 'mechanisms', 'during', 'the', 'birth', 'of', 'the', 'neutron', 'stars', 'require', 'spin', 'rates', 'much', 'faster', 'than', 'either', 'observations', 'or', 'theory', 'indicate', 'here', 'we', 'propose', 'the', 'neutron', 'stars', 'form', 'with', 'normal', '1012', 'g', 'magnetic', 'fields', 'which', 'are', 'then', 'amplified', 'to', '10141015', 'g', 'after', 'a', 'delay', 'of', 'a', 'few', 'hundred', 'years', 'the', 'amplification', 'is', 'speculated', 'to', 'be', 'a', 'consequence', 'of', 'color', 'ferromagnetism', 'and', 'occurs', 'after', 'the', 'neutron', 'star', 'core', 'reaches', 'quarkdeconfinement', 'density', 'this', 'delayed', 'amplification', 'alleviates', 'many', 'difficulties', 'in', 'interpreting', 'simultaneously', 'the', 'high', 'birth', 'rate', 'and', 'high', 'magnetic', 'fields', 'of', 'axpssgrs', 'and', 'their', 'link', 'to', 'massive', 'stars']] | [-0.12731962940100325, 0.23782937885811611, 0.0013855004029475755, 0.13749934381155315, -0.12643962818261537, -0.06226558948039823, 0.09074766550759744, 0.38725666589572194, -0.17960171739900518, -0.35826728658993606, 0.08428347275898972, -0.25231876315676277, -0.028199399283852844, 0.2531895832699486, -0.039650298961617564, -0.08666469599554165, 0.11286689253576007, 0.040343080742735855, -0.06929935012533335, -0.27902481059026063, 0.265184599423191, 0.07146691247749992, 0.1927201677119556, -0.002329508580198014, 0.10695712375367836, -0.11587421801403998, -0.006066987256270758, -0.07780954116371154, -0.1243267864772872, 0.0064045115669043905, 0.2062504902360556, 0.15599654840163724, 0.23055815700187077, -0.4621471973332744, -0.24619206945810998, 0.0985357255489791, 0.18749054345759267, 0.07056708635635073, -0.09376018459370696, -0.22459539092255768, 0.13300540344898085, -0.22505054108636535, -0.16829351711185267, 0.006822947949975127, 0.05175068086267721, 0.052872102363440004, -0.24643729909855341, 0.16662513659992226, 0.04229003352746483, 0.06440430052393342, -0.11012661560895558, -0.10333349571638503, -0.002499779822270137, 0.03233405947251396, 0.10930415156285817, 0.08353909523868412, 0.1395836175100875, -0.18208886904971708, -0.07906098963232908, 0.357146958803168, -0.07378758105065425, 0.021574075142881885, 0.24935076768967027, -0.25249314619667873, -0.15825145935454632, 0.18945558268796675, 0.15997895020637257, 0.15784284568490078, -0.13419117714908924, -0.05804167112396301, 0.04779853327677047, 0.14719775258360998, 0.07108156051145438, 0.08477670861905591, 0.3277365739416817, 0.13439599391483695, 0.004139546177318169, 0.06193235234909847, -0.18368101135685877, -0.020064570888969468, -0.1992671174540977, -0.11778139408897631, -0.08862539775950129, 0.14812420055666803, -0.1413800808167597, -0.09591934637322744, 0.33182810337039764, 0.12887632710026195, 0.201939770894021, 0.008792078935596167, 0.2323564245620083, 0.11644420547516415, 0.11695603468247129, 0.13402770983159357, 0.29577953034364013, 0.24845074210315943, 0.07941814505145162, -0.21087562342706537, 0.07375033061137215, -0.03571110770868438] |
710.2115 | Formaldehyde Densitometry of Starburst Galaxies | With a goal toward deriving the physical conditions in external galaxies, we
present a survey of the formaldehyde emission in a sample of starburst systems.
By extending a technique used to derive the spatial density in star formation
regions in our own Galaxy, we show how the relative intensity of the
1(10)-1(11) and 2(11)-2(12) K-doublet transitions of H2CO can provide an
accurate densitometer for the active star formation environments found in
starburst galaxies. Relying upon an assumed kinetic temperature and co-spatial
emission and absorption from both H2CO transitions, our technique is applied to
a sample of nineteen IR-bright galaxies which exhibit various forms of
starburst activity. In the five galaxies of our sample where both H2CO
transitions were detected we have derived spatial densities. We also use H2CO
to estimate the dense gas mass in our starburst galaxy sample, finding similar
mass estimates for the dense gas forming stars in these objects as derived
using other dense gas tracers. A related trend can be seen when one compares
L_IR to our derived n(H2) for the five galaxies within which we have derived
spatial densities. Even though our number statistics are small, there appears
to be a trend toward higher spatial density for galaxies with higher infrared
luminosity. This is likely another representation of the L_IR-M_dense
correlation.
| astro-ph | with a goal toward deriving the physical conditions in external galaxies we present a survey of the formaldehyde emission in a sample of starburst systems by extending a technique used to derive the spatial density in star formation regions in our own galaxy we show how the relative intensity of the 110111 and 211212 kdoublet transitions of h2co can provide an accurate densitometer for the active star formation environments found in starburst galaxies relying upon an assumed kinetic temperature and cospatial emission and absorption from both h2co transitions our technique is applied to a sample of nineteen irbright galaxies which exhibit various forms of starburst activity in the five galaxies of our sample where both h2co transitions were detected we have derived spatial densities we also use h2co to estimate the dense gas mass in our starburst galaxy sample finding similar mass estimates for the dense gas forming stars in these objects as derived using other dense gas tracers a related trend can be seen when one compares l_ir to our derived nh2 for the five galaxies within which we have derived spatial densities even though our number statistics are small there appears to be a trend toward higher spatial density for galaxies with higher infrared luminosity this is likely another representation of the l_irm_dense correlation | [['with', 'a', 'goal', 'toward', 'deriving', 'the', 'physical', 'conditions', 'in', 'external', 'galaxies', 'we', 'present', 'a', 'survey', 'of', 'the', 'formaldehyde', 'emission', 'in', 'a', 'sample', 'of', 'starburst', 'systems', 'by', 'extending', 'a', 'technique', 'used', 'to', 'derive', 'the', 'spatial', 'density', 'in', 'star', 'formation', 'regions', 'in', 'our', 'own', 'galaxy', 'we', 'show', 'how', 'the', 'relative', 'intensity', 'of', 'the', '110111', 'and', '211212', 'kdoublet', 'transitions', 'of', 'h2co', 'can', 'provide', 'an', 'accurate', 'densitometer', 'for', 'the', 'active', 'star', 'formation', 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710.2116 | Atom detection and photon production in a scalable, open, optical
microcavity | A microfabricated Fabry-Perot optical resonator has been used for atom
detection and photon production with less than 1 atom on average in the cavity
mode. Our cavity design combines the intrinsic scalability of microfabrication
processes with direct coupling of the cavity field to single-mode optical
waveguides or fibers. The presence of the atom is seen through changes in both
the intensity and the noise characteristics of probe light reflected from the
cavity input mirror. An excitation laser passing transversely through the
cavity triggers photon emission into the cavity mode and hence into the
single-mode fiber. These are first steps towards building an optical
microcavity network on an atom chip for applications in quantum information
processing.
| quant-ph | a microfabricated fabryperot optical resonator has been used for atom detection and photon production with less than 1 atom on average in the cavity mode our cavity design combines the intrinsic scalability of microfabrication processes with direct coupling of the cavity field to singlemode optical waveguides or fibers the presence of the atom is seen through changes in both the intensity and the noise characteristics of probe light reflected from the cavity input mirror an excitation laser passing transversely through the cavity triggers photon emission into the cavity mode and hence into the singlemode fiber these are first steps towards building an optical microcavity network on an atom chip for applications in quantum information processing | [['a', 'microfabricated', 'fabryperot', 'optical', 'resonator', 'has', 'been', 'used', 'for', 'atom', 'detection', 'and', 'photon', 'production', 'with', 'less', 'than', '1', 'atom', 'on', 'average', 'in', 'the', 'cavity', 'mode', 'our', 'cavity', 'design', 'combines', 'the', 'intrinsic', 'scalability', 'of', 'microfabrication', 'processes', 'with', 'direct', 'coupling', 'of', 'the', 'cavity', 'field', 'to', 'singlemode', 'optical', 'waveguides', 'or', 'fibers', 'the', 'presence', 'of', 'the', 'atom', 'is', 'seen', 'through', 'changes', 'in', 'both', 'the', 'intensity', 'and', 'the', 'noise', 'characteristics', 'of', 'probe', 'light', 'reflected', 'from', 'the', 'cavity', 'input', 'mirror', 'an', 'excitation', 'laser', 'passing', 'transversely', 'through', 'the', 'cavity', 'triggers', 'photon', 'emission', 'into', 'the', 'cavity', 'mode', 'and', 'hence', 'into', 'the', 'singlemode', 'fiber', 'these', 'are', 'first', 'steps', 'towards', 'building', 'an', 'optical', 'microcavity', 'network', 'on', 'an', 'atom', 'chip', 'for', 'applications', 'in', 'quantum', 'information', 'processing']] | [-0.12422110346226913, 0.15081514607565782, -0.03932813214867011, -0.09047192597012643, -0.005619645588423895, -0.20608757219641752, 0.01917727109976113, 0.490527639861988, -0.22110413962813175, -0.2573009314096492, 0.03148163059908573, -0.3025999734097201, -0.039365529213303135, 0.26680673162614843, -0.011022758581526907, 0.0850883183757896, 0.05517704423071573, -0.03278008999464952, 0.06182794633280972, -0.12694272170572177, 0.26542705599542543, 0.07303552258577521, 0.329549145674252, 0.03636879376338228, 0.13506992431762427, 0.019134879618397226, 0.042771262888614416, -0.10105695948105953, -0.049359312693021545, 0.1148544641774092, 0.20977893298410852, 0.03684257565714095, 0.2609450380763282, -0.5122218585370676, -0.20707579145774893, 0.04867237787693739, 0.20153549014307234, 0.16380895390782668, -0.06946381453991585, -0.32453178830201856, -0.06493566201837814, -0.09714655702700839, -0.11070291022567645, -0.002426209276461083, -0.02773247512118162, 0.005571602418532838, -0.23890586012731427, -0.06373325106080459, 0.0367122462819047, 0.06314001817068936, 0.014798719551333267, -0.0017719270459011845, -0.02570889224703221, 0.042241820109927136, -0.07304967163414088, 0.013972196273465196, 0.27183481479144617, -0.15215109519498504, -0.12035143588791075, 0.3751028707250953, -0.1277975451288512, -0.11199607344587212, 0.13573281213074276, -0.13963794796727597, 0.009798286797519287, 0.1891714846148439, 0.18502417606321853, 0.032061740828920965, -0.09001868605897155, -0.02596856173198751, 0.0405954041234825, 0.2689357288202028, 0.14602412580836402, 0.17391070007630016, 0.24492675766105884, 0.21923351035169933, 0.01740868681150934, 0.2143728546879214, -0.1608015008635171, -0.05161170465061846, -0.28548060539988396, -0.17741424422306212, -0.17914467229781186, 0.03413205314427614, -0.09896263288898373, -0.12652386592944032, 0.3869511472587676, 0.07873954253028269, 0.12483659617238395, -0.05533507152905931, 0.400163722232632, 0.1461389894850309, 0.11126763199294067, -0.0021271942223867646, 0.3589841882495777, 0.2117354757435944, 0.09202319600254945, -0.28866123162898355, -0.04922755646883793, -0.04147574765931653] |
710.2117 | Gravitation in 4D Euclidean Space-Time Geometry | The Euclidean interpretation of special relativity which has been suggested
by the author is a formulation of special relativity in ordinary 4D Euclidean
space-time geometry. The natural and geometrically intuitive generalization of
this view involves variations of the speed of light (depending on location and
direction) and a Euclidean principle of general covariance. In this article, a
gravitation model by Jan Broekaert, which implements a view of relativity
theory in the spirit of Lorentz and Poincare, is reconstructed and shown to
fulfill the principles of the Euclidean approach after an appropriate
reinterpretation.
| physics.gen-ph | the euclidean interpretation of special relativity which has been suggested by the author is a formulation of special relativity in ordinary 4d euclidean spacetime geometry the natural and geometrically intuitive generalization of this view involves variations of the speed of light depending on location and direction and a euclidean principle of general covariance in this article a gravitation model by jan broekaert which implements a view of relativity theory in the spirit of lorentz and poincare is reconstructed and shown to fulfill the principles of the euclidean approach after an appropriate reinterpretation | [['the', 'euclidean', 'interpretation', 'of', 'special', 'relativity', 'which', 'has', 'been', 'suggested', 'by', 'the', 'author', 'is', 'a', 'formulation', 'of', 'special', 'relativity', 'in', 'ordinary', '4d', 'euclidean', 'spacetime', 'geometry', 'the', 'natural', 'and', 'geometrically', 'intuitive', 'generalization', 'of', 'this', 'view', 'involves', 'variations', 'of', 'the', 'speed', 'of', 'light', 'depending', 'on', 'location', 'and', 'direction', 'and', 'a', 'euclidean', 'principle', 'of', 'general', 'covariance', 'in', 'this', 'article', 'a', 'gravitation', 'model', 'by', 'jan', 'broekaert', 'which', 'implements', 'a', 'view', 'of', 'relativity', 'theory', 'in', 'the', 'spirit', 'of', 'lorentz', 'and', 'poincare', 'is', 'reconstructed', 'and', 'shown', 'to', 'fulfill', 'the', 'principles', 'of', 'the', 'euclidean', 'approach', 'after', 'an', 'appropriate', 'reinterpretation']] | [-0.09051676728931553, 0.06604782710568903, -0.14811193639320414, 0.08620854820749098, -0.1216717960292494, -0.11593309472632277, -0.01285574331004582, 0.2848533526277886, -0.2365629175104774, -0.31062840400161323, 0.06693382094650027, -0.20562459078648096, -0.2146201151996278, 0.16872829427574199, -0.1565177480198934, 0.04135809954931284, 0.013577676163269924, 0.06981677798155163, -0.12644725376586582, -0.216214768818815, 0.32719877618620846, 0.10410706641582343, 0.2895467226895002, 0.015879215734018074, 0.15652542698944172, 0.06660654161964635, -0.061776869904741155, 0.06014383674322904, -0.09115944023418067, 0.16583006798320418, 0.19715085109839073, 0.13402068021625363, 0.2529630033033235, -0.3978093640244269, -0.2552377316629985, 0.04954549051043424, 0.07756921012404856, 0.10615613022153932, -0.027749571269940952, -0.312124016285352, 0.007575174128370625, -0.11449103444241561, -0.2015378947912173, -0.009168019983917475, 0.04105448332144418, -0.08139334943473012, -0.21671316229385212, 0.059314295424373595, 0.10371039988943836, 0.08011617696831888, -0.048683034836897975, -0.047642209710410006, 0.019223793952183408, 0.047515448254461475, 0.12015231938234397, 0.0836195721045382, 0.07754183510973395, -0.06276464683853172, -0.13602912030950354, 0.45967506531339425, -0.008864217298361217, -0.2527457037019533, 0.12956055452289816, -0.1510386490390974, -0.13938648691196198, 0.07371804714305225, 0.14982314231283553, 0.16736750442862183, -0.1608799004231344, 0.18815409071464603, -0.07686937633635742, 0.08142046649827735, 0.12051200953690888, 0.02365981765759208, 0.21451994860647144, 0.11061454807397919, 0.035782283443220694, 0.09510292681855159, -0.03749497521126254, -0.1637059279134149, -0.3915432212198829, -0.19536109307555707, -0.17695194869660413, 0.08667951980656893, -0.13020483965670132, -0.13327617576226827, 0.3815656757944233, 0.08151557086071429, 0.1403231395531323, 0.035531070432225934, 0.25124619344433585, 0.08649122293086743, 0.03428410376411873, 0.026849198597739196, 0.2990889143311306, 0.17086546560544724, 0.11509445139237649, -0.15225580403489153, 0.004618701079839861, 0.17209526113807583] |
710.2118 | Tri-bimaximal Neutrino Mixing and CKM Matrix in a SU(5)x(d)T Model | In this talk, we present a model based on SU(5)x(d)T which successfully gives
rise to near tri-bimaximal leptonic mixing as well as realistic CKM matrix
elements for the quarks. The Georgi-Jarlskog relations for three generations
are also obtained. Due to the (d)T transformation property of the matter
fields, the b-quark mass can be generated only when the (d)T symmetry is
broken, giving a dynamical origin for the hierarchy between m_b and m_t. There
are only nine operators allowed in the Yukawa sector up to at least mass
dimension seven due to an additional Z12 x Z12' symmetry, which also forbids,
up to some high orders, operators that lead to proton decay. The resulting
model has a total of nine parameters in the charged fermion and neutrino
sectors, and hence is very predictive. In addition to the prediction for
theta13 ~ theta_c/3sqrt{2}, the model gives rise to a sum rule,
tan^2(theta_{solar}) ~ tan^2(theta_{solar,TBM}) - 1/2*theta_c*cos(beta), which
is a consequence of the Georgi-Jarlskog relations in the quark sector. This
deviation could account for the difference between the experimental best fit
value for the solar mixing angle and the value predicted by the tri-bimaximal
mixing matrix.
| hep-ph | in this talk we present a model based on su5xdt which successfully gives rise to near tribimaximal leptonic mixing as well as realistic ckm matrix elements for the quarks the georgijarlskog relations for three generations are also obtained due to the dt transformation property of the matter fields the bquark mass can be generated only when the dt symmetry is broken giving a dynamical origin for the hierarchy between m_b and m_t there are only nine operators allowed in the yukawa sector up to at least mass dimension seven due to an additional z12 x z12 symmetry which also forbids up to some high orders operators that lead to proton decay the resulting model has a total of nine parameters in the charged fermion and neutrino sectors and hence is very predictive in addition to the prediction for theta13 theta_c3sqrt2 the model gives rise to a sum rule tan2theta_solar tan2theta_solartbm 12theta_ccosbeta which is a consequence of the georgijarlskog relations in the quark sector this deviation could account for the difference between the experimental best fit value for the solar mixing angle and the value predicted by the tribimaximal mixing matrix | [['in', 'this', 'talk', 'we', 'present', 'a', 'model', 'based', 'on', 'su5xdt', 'which', 'successfully', 'gives', 'rise', 'to', 'near', 'tribimaximal', 'leptonic', 'mixing', 'as', 'well', 'as', 'realistic', 'ckm', 'matrix', 'elements', 'for', 'the', 'quarks', 'the', 'georgijarlskog', 'relations', 'for', 'three', 'generations', 'are', 'also', 'obtained', 'due', 'to', 'the', 'dt', 'transformation', 'property', 'of', 'the', 'matter', 'fields', 'the', 'bquark', 'mass', 'can', 'be', 'generated', 'only', 'when', 'the', 'dt', 'symmetry', 'is', 'broken', 'giving', 'a', 'dynamical', 'origin', 'for', 'the', 'hierarchy', 'between', 'm_b', 'and', 'm_t', 'there', 'are', 'only', 'nine', 'operators', 'allowed', 'in', 'the', 'yukawa', 'sector', 'up', 'to', 'at', 'least', 'mass', 'dimension', 'seven', 'due', 'to', 'an', 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710.2119 | On quantum vs. classical probability | Quantum theory shares with classical probability theory many important
properties. I show that this common core regards at least the following six
areas, and I provide details on each of these: the logic of propositions,
symmetry, probabilities, composition of systems, state preparation and
reductionism. The essential distinction between classical and quantum theory,
on the other hand, is shown to be joint decidability versus smoothness; for the
latter in particular I supply ample explanation and motivation. Finally, I
argue that beyond quantum theory there are no other generalisations of
classical probability theory that are relevant to physics.
| quant-ph | quantum theory shares with classical probability theory many important properties i show that this common core regards at least the following six areas and i provide details on each of these the logic of propositions symmetry probabilities composition of systems state preparation and reductionism the essential distinction between classical and quantum theory on the other hand is shown to be joint decidability versus smoothness for the latter in particular i supply ample explanation and motivation finally i argue that beyond quantum theory there are no other generalisations of classical probability theory that are relevant to physics | [['quantum', 'theory', 'shares', 'with', 'classical', 'probability', 'theory', 'many', 'important', 'properties', 'i', 'show', 'that', 'this', 'common', 'core', 'regards', 'at', 'least', 'the', 'following', 'six', 'areas', 'and', 'i', 'provide', 'details', 'on', 'each', 'of', 'these', 'the', 'logic', 'of', 'propositions', 'symmetry', 'probabilities', 'composition', 'of', 'systems', 'state', 'preparation', 'and', 'reductionism', 'the', 'essential', 'distinction', 'between', 'classical', 'and', 'quantum', 'theory', 'on', 'the', 'other', 'hand', 'is', 'shown', 'to', 'be', 'joint', 'decidability', 'versus', 'smoothness', 'for', 'the', 'latter', 'in', 'particular', 'i', 'supply', 'ample', 'explanation', 'and', 'motivation', 'finally', 'i', 'argue', 'that', 'beyond', 'quantum', 'theory', 'there', 'are', 'no', 'other', 'generalisations', 'of', 'classical', 'probability', 'theory', 'that', 'are', 'relevant', 'to', 'physics']] | [-0.07096546792430065, 0.11375439011802276, -0.08610981369565707, 0.11503795024812764, -0.04739422269631177, -0.20729760293215804, 0.036593254622857785, 0.3349043720615252, -0.27831294864881784, -0.25504127983003855, 0.08290993904665811, -0.28141080141843605, -0.175882968508328, 0.18544803680561017, -0.09498609178748059, 0.02828618261264637, 0.025547498461188905, 0.08180875607922644, -0.04790569784866724, -0.23536376509582624, 0.3219371114779885, 0.021045428461851163, 0.2785930693692838, 0.05817863989796024, 0.04978852243705963, 0.016936283642280614, -0.015558260720960485, 0.030139240087009966, -0.13485081605775426, 0.14048695226180521, 0.2921061230129756, 0.18575784323911648, 0.2715696036175359, -0.45890689027146436, -0.21552372013078033, 0.07156617957662093, 0.07934853112965357, 0.10262968206855778, -0.037090022866323125, -0.24331710405507087, 0.06009197296225466, -0.1627343168875086, -0.12761679989246963, -0.06948813735410415, 0.05901827509903038, 0.01747848607884824, -0.1588019330132132, 0.047276945325090004, 0.12368275589687983, 0.0754180162330158, -0.043801542361810185, -0.15265713571716333, 0.008756562339840457, 0.11447927461510214, 0.04232779578099629, -0.01467090641381219, 0.08937431981636716, -0.15948412770861373, -0.16803908670165887, 0.372880677653787, 0.025867216780776896, -0.15227835117548238, 0.24809767319917833, -0.1476059002658682, -0.2184621433649833, 0.024082431710363988, 0.0628944897398469, 0.06938322382726862, -0.07722523428674322, 0.11148073504591594, -0.026682513305180084, 0.17930948722641915, 0.03853144240565598, 0.12193010570748204, 0.232883096881172, 0.10657137639888485, 0.054820662198835635, 0.05450250856908193, -0.01682004154281458, -0.20863290907194218, -0.3874929204854804, -0.18652950745308772, -0.1221727970187203, 0.06465261934984785, -0.05907042475337221, -0.13549131064943745, 0.3410972019628389, 0.19965209294423403, 0.14729493639727784, 0.023649668832755804, 0.2602698271706079, 0.10573134732718852, -0.0028829684500427297, 0.027034413501193438, 0.221993784463848, 0.15758925214565048, 0.029983368042546015, -0.18648056751408149, 0.09143388262115575, 0.07097032836221236] |
710.212 | A Note on the a-numbers and p-ranks of Kummer Covers | We study the a-numbers and p-ranks of Kummer covers of the projective line,
and we give bounds for these numbers.
| math.AG | we study the anumbers and pranks of kummer covers of the projective line and we give bounds for these numbers | [['we', 'study', 'the', 'anumbers', 'and', 'pranks', 'of', 'kummer', 'covers', 'of', 'the', 'projective', 'line', 'and', 'we', 'give', 'bounds', 'for', 'these', 'numbers']] | [-0.2126559130847454, 0.048510970920324324, -0.051691836304962636, 0.08684643357992172, -0.040854363422840836, -0.09254176612012088, 0.05663133100606501, 0.34072918388992546, -0.21064590476453304, -0.26809715330600736, 0.10726564932847396, -0.2320603467989713, -0.11720641748979688, 0.3018011625856161, -0.10626009255647659, 0.007980034966021777, -0.03281281519448385, 0.02037993133999407, -0.10728315617889166, -0.3173518500290811, 0.43991121649742126, -0.07564261369407177, 0.17063916549086572, 0.16454266430810094, 0.08066131863743067, 0.04800138701684773, -0.07873839549720288, -0.012343250541016459, -0.2834233855828643, 0.1803467839024961, 0.2984044421464205, 0.16782473549246787, 0.07825737125240266, -0.3746241293847561, -0.09787291449028998, 0.21453579268418252, 0.10078844719100744, 0.061997882649302484, 0.010510534327477217, -0.21680339183658362, 0.03589860713109374, -0.09760911148041487, -0.16974215656518937, -0.07406859546899795, -0.007470063492655754, 0.1691079930285923, -0.18998652882874012, -0.000618156002019532, 0.10035084029659629, 0.17387208519503475, 0.003922213986515999, -0.164568723551929, 0.004254601779393852, 0.0822702391538769, -0.005120493285357952, -0.08787284708814695, 0.029438185459002852, -0.09273128528147936, -0.0880242319777608, 0.35077896881848575, -0.05111157044302672, -0.13973477203398943, 0.08812614171765745, -0.21280907780164854, -0.1695232884027064, 0.122283863928169, 0.16309806872159244, 0.18334195353090763, 0.0632195313461125, 0.124124838860007, -0.1476242020726204, 0.029805633053183556, 0.09554177774116397, 0.008833171799778938, 0.10536136934533716, 0.05497936997562647, 0.059890135284513236, 0.17821899987757206, -0.1573158539365977, -0.04385273279622197, -0.41305363550782204, -0.26679265946149827, -0.0687355699017644, 0.119376749265939, -0.08447389479115372, -0.16448887865408324, 0.4439293725416064, 0.09487578393891453, 0.2175844818353653, 0.17601265660487114, 0.1823146857175743, 0.038477152958512305, -0.017958014830946924, 0.025531191332265734, 0.1610725924372673, 0.2516788015142083, -0.025683491583913566, -0.1133347425609827, -0.0542178341653198, 0.15798911936581134] |
710.2121 | Micromaser line broadening without photon exchange | We perform a calculation of the linewidth of a micromaser, using the master
equation and the quantum regression approach. A `dephasing' contribution is
identified from pumping processes that conserve the photon number and do not
appear in the photon statistics. We work out examples for a single-atom maser
with a precisely controlled coupling and for a laser where the interaction time
is broadly distributed. In the latter case, we also assess the convergence of a
recently developed uniform Lindblad approximation to the master equation; it is
relatively slow.
| quant-ph | we perform a calculation of the linewidth of a micromaser using the master equation and the quantum regression approach a dephasing contribution is identified from pumping processes that conserve the photon number and do not appear in the photon statistics we work out examples for a singleatom maser with a precisely controlled coupling and for a laser where the interaction time is broadly distributed in the latter case we also assess the convergence of a recently developed uniform lindblad approximation to the master equation it is relatively slow | [['we', 'perform', 'a', 'calculation', 'of', 'the', 'linewidth', 'of', 'a', 'micromaser', 'using', 'the', 'master', 'equation', 'and', 'the', 'quantum', 'regression', 'approach', 'a', 'dephasing', 'contribution', 'is', 'identified', 'from', 'pumping', 'processes', 'that', 'conserve', 'the', 'photon', 'number', 'and', 'do', 'not', 'appear', 'in', 'the', 'photon', 'statistics', 'we', 'work', 'out', 'examples', 'for', 'a', 'singleatom', 'maser', 'with', 'a', 'precisely', 'controlled', 'coupling', 'and', 'for', 'a', 'laser', 'where', 'the', 'interaction', 'time', 'is', 'broadly', 'distributed', 'in', 'the', 'latter', 'case', 'we', 'also', 'assess', 'the', 'convergence', 'of', 'a', 'recently', 'developed', 'uniform', 'lindblad', 'approximation', 'to', 'the', 'master', 'equation', 'it', 'is', 'relatively', 'slow']] | [-0.10715174751186912, 0.12313141526696696, -0.10783263526602903, 0.06968142328101253, -0.03079267527209595, -0.14633094583405182, 0.0746698917963923, 0.3686200911179185, -0.23905484916229564, -0.26417567803450354, 0.044278973176419226, -0.2592059512072327, -0.11225272832565349, 0.21940467482438014, -0.0044454845747995105, 0.06156155522099156, 0.051324280190535566, 0.008917954221198504, -0.01258244303277355, -0.20175755262607709, 0.27363005107062316, 0.040159888738840396, 0.25082419256002386, 0.02906070670790293, 0.120549216654829, -0.036360211384652015, 0.0031776344932785087, -0.01652727316170719, -0.11629766261045336, 0.06537593129641292, 0.23135815177507044, 0.033328366984443906, 0.29598858717574994, -0.3918728802818805, -0.20088675344066526, 0.0712567877066745, 0.16160749099005692, 0.18833939217041584, -0.04065277721119029, -0.2607918776947455, -0.002672685220287266, -0.19361495307054033, -0.13067869219759648, -0.0780096606838263, 0.006420563155023212, 0.02988364491400055, -0.3057509797985073, 0.081994124706398, 0.07672817747648382, 0.023622431204950608, -0.023858743653611535, -0.00945866261926395, 0.009531181179309815, 0.07140167671340433, -0.014750587518475104, 0.023050243270435287, 0.1612559267986481, -0.11404703705656258, -0.0972303754533641, 0.37107433179732074, -0.10826363989723507, -0.23337436150971122, 0.16931940329165876, -0.159498812249777, -0.13500533661995592, 0.13767317363950002, 0.13620429813851265, 0.15337602857669647, -0.18791493944908408, 0.0782727650241048, -0.006553407250480218, 0.16870776151666755, 0.0403808687961745, 0.031237800886050205, 0.12717353844147344, 0.15481580075257542, 0.04234077596199561, 0.13519745896866714, -0.09770718528571623, -0.1408885507209396, -0.31861145606010477, -0.1446089949075196, -0.2143770323706452, 0.09916362747174969, -0.0253526865690219, -0.13697258331707085, 0.407532149751205, 0.16113383090123534, 0.15375651041871274, 0.03715038250877776, 0.3114970086396418, 0.20578704207053472, 0.05836951440009712, 0.07078588786217468, 0.2634585545906289, 0.18661310839128087, 0.09818415794606236, -0.27142275498640217, 0.0336534196282049, 0.006031244090991095] |
710.2122 | The Hawking temperature of expanding cosmological black holes | In the context of a debate on the correct expression of the Hawking
temperature of an expanding cosmological black hole, we show that the correct
expression in terms of the Hawking-Hayward quasi-local energy m of the hole is
T=1/(8\pi m(t)). This expression holds for comoving black holes and agrees with
a recent proposal by Saida, Harada, and Maeda.
| gr-qc | in the context of a debate on the correct expression of the hawking temperature of an expanding cosmological black hole we show that the correct expression in terms of the hawkinghayward quasilocal energy m of the hole is t18pi mt this expression holds for comoving black holes and agrees with a recent proposal by saida harada and maeda | [['in', 'the', 'context', 'of', 'a', 'debate', 'on', 'the', 'correct', 'expression', 'of', 'the', 'hawking', 'temperature', 'of', 'an', 'expanding', 'cosmological', 'black', 'hole', 'we', 'show', 'that', 'the', 'correct', 'expression', 'in', 'terms', 'of', 'the', 'hawkinghayward', 'quasilocal', 'energy', 'm', 'of', 'the', 'hole', 'is', 't18pi', 'mt', 'this', 'expression', 'holds', 'for', 'comoving', 'black', 'holes', 'and', 'agrees', 'with', 'a', 'recent', 'proposal', 'by', 'saida', 'harada', 'and', 'maeda']] | [-0.17608045557114696, 0.06606293826631113, -0.07697687267292556, 0.11921674011474741, -0.017460065611105944, -0.0845445939506005, 0.029883925004729202, 0.26191802063424674, -0.07605520376403417, -0.3131164679569857, 0.029792248641440113, -0.2895436932864998, -0.10457649071966964, 0.23645386578365496, -0.10151091637089849, 0.025118728733754585, -0.0010876869117575033, 0.09945515633028533, -0.10844925344905018, -0.22784481044592603, 0.37421301499541315, 0.16553166428846972, 0.26532389665953815, 0.06140138455001371, 0.1617068660811388, 0.009413705793641773, -0.03040592442266643, 0.06180074687914124, -0.20792120060299826, 0.10162871473065545, 0.18703636221055472, 0.15987599031567307, 0.2157223452148693, -0.3530197917217655, -0.2319921550307689, 0.020172471496542648, 0.11520156615214157, 0.18307844303620055, -0.09890836198922313, -0.24906810842055296, 0.09295013131174658, -0.26569743022056563, -0.132500390937951, -0.009550759618702744, 0.0973064690229616, -0.049293045087584426, -0.2081005506749664, 0.18281708789124554, 0.09988582428611283, -0.06672423349560372, -0.16807366942521185, -0.04043404769618064, -0.02331273982833539, 0.10531347329794828, 0.127527851407649, 0.07987149611913733, 0.1477464712141747, -0.098364975631869, -0.09625610491327409, 0.3271236789213227, -0.11404360543903229, -0.1371623031861548, 0.10636468663662006, -0.23196791688782728, -0.09836599011240262, 0.06747495748900942, 0.054894118303699155, 0.1967667834916418, -0.17961511059132004, 0.1986398030816677, -0.0614473641450916, 0.13427562519375766, 0.13251008060095565, 0.023916780707492893, 0.3615546039904335, 0.08356145290391785, -0.023452794861181507, 0.14311823117480213, -0.03055532550622177, -0.06072646199858615, -0.3224696617897799, -0.1901874825957098, -0.20453452506834374, 0.11827514654890235, -0.1477315005026217, -0.16435374239725725, 0.3254131526420159, 0.11868183386312532, 0.21874719273598334, 0.07198595774493047, 0.22166322379916892, 0.0928201087476087, 0.004268894737054195, 0.10021021265336978, 0.26527512149186805, 0.13153011784639343, 0.14455251971958205, -0.272331049607601, -0.02119534157308018, 0.10629679618536361] |
710.2123 | Are There Infinitely Many Primes? | This paper is based on a talk given to motivated high school (and younger)
students at a BAMA (Bay Area Math Adventure) event. Some of the methods used to
study primes and twin primes are introduced.
| math.NT | this paper is based on a talk given to motivated high school and younger students at a bama bay area math adventure event some of the methods used to study primes and twin primes are introduced | [['this', 'paper', 'is', 'based', 'on', 'a', 'talk', 'given', 'to', 'motivated', 'high', 'school', 'and', 'younger', 'students', 'at', 'a', 'bama', 'bay', 'area', 'math', 'adventure', 'event', 'some', 'of', 'the', 'methods', 'used', 'to', 'study', 'primes', 'and', 'twin', 'primes', 'are', 'introduced']] | [-0.06192558729607198, 0.10061406390741467, -0.14180622168350965, 0.12934065594648322, -0.1325118826288316, -0.13778891934392354, 0.056360296804794215, 0.3083451787630717, -0.1750909744037522, -0.37530309706926346, 0.08120729021094222, -0.31105805754972, -0.140703945627643, 0.22560461574337548, -0.24898244600950015, 0.017183973014147744, 0.0892625468938301, 0.0370695098148038, -0.008255676676829657, -0.35683220624923706, 0.31043718760419226, 0.12090927129611373, 0.23415620317165223, 0.07332556555047631, 0.10771381128061977, -0.038535151229653924, -0.06674844936545317, -0.019566003543635208, -0.15906065666220254, 0.2008796492850201, 0.37214525333709186, 0.11590984501203315, 0.34001368273877436, -0.3904947247873578, -0.0768880202409087, 0.12839994323439896, 0.06291327337061779, 0.002685196150398244, -0.07606318126393792, -0.29775838574601543, 0.12617024882961736, -0.2075883882223732, -0.11094945762306452, 0.048730301670730114, 0.015762839414593246, 0.01840778584462694, -0.23339753709216085, 0.050413008543222934, 0.043721205865343414, 0.2236682986581905, 0.035763026784277625, -0.20277412401305306, 0.0727807672875416, 0.05029099062085152, 0.07548726719364317, 0.04270339023140776, 0.05788189286573066, -0.08099055333554538, -0.17001066217198968, 0.3449965436011553, 0.055034543683480784, -0.07077657198533416, 0.19225664062347883, -0.16654599465740225, -0.17999237960773623, 0.03879327135574487, 0.23038555016844636, 0.12149189959745854, -0.14309712869322133, 0.06283423860440962, -0.053310733288526535, 0.15303457937099868, 0.17506024091401035, -0.0747379372931189, 0.18796536429888672, 0.1496807631984767, -0.005403306451626122, 0.043854834486006036, -0.08716401894344017, -0.04095657319865293, -0.29388101569687325, -0.15082345830483568, -0.1688617827732944, 0.018013748366178736, 0.09806634591869726, -0.11605310683242148, 0.4192619120909108, 0.11390581033709976, 0.12995716934609744, 0.04272569506429136, 0.19108019937993959, 0.05181328119296166, -0.010139188470525874, 0.11128492252383795, 0.09755306543876133, 0.11976577662345436, 0.15912652063545668, -0.09490098841747062, 0.027346133487299085, 0.11257277786110838] |
710.2124 | The Singular Locus of the Theta Divisor and Quadrics through a Canonical
Curve | A section K on a genus g canonical curve C is identified as the key tool to
prove new results on the geometry of the singular locus Theta_s of the theta
divisor. The K divisor is characterized by the condition of linear dependence
of a set of quadrics containing C and naturally associated to a degree g
effective divisor on C. K counts the number of intersections of special
varieties on the Jacobian torus defined in terms of Theta_s. It also identifies
sections of line bundles on the moduli space of algebraic curves, closely
related to the Mumford isomorphism, whose zero loci characterize special
varieties in the framework of the Andreotti-Mayer approach to the Schottky
problem, a result which also reproduces the only previously known case g=4.
This new approach, based on the combinatorics of determinantal relations for
two-fold products of holomorphic abelian differentials, sheds light on basic
structures, and leads to the explicit expressions, in terms of theta functions,
of the canonical basis of the abelian holomorphic differentials and of the
constant defining the Mumford form. Furthermore, the metric on the moduli space
of canonical curves, induced by the Siegel metric, which is shown to be
equivalent to the Kodaira-Spencer map of the square of the Bergman reproducing
kernel, is explicitly expressed in terms of the Riemann period matrix only, a
result previously known for the trivial cases g=2 and g=3. Finally, the induced
Siegel volume form is expressed in terms of the Mumford form.
| math.AG hep-th math.CO | a section k on a genus g canonical curve c is identified as the key tool to prove new results on the geometry of the singular locus theta_s of the theta divisor the k divisor is characterized by the condition of linear dependence of a set of quadrics containing c and naturally associated to a degree g effective divisor on c k counts the number of intersections of special varieties on the jacobian torus defined in terms of theta_s it also identifies sections of line bundles on the moduli space of algebraic curves closely related to the mumford isomorphism whose zero loci characterize special varieties in the framework of the andreottimayer approach to the schottky problem a result which also reproduces the only previously known case g4 this new approach based on the combinatorics of determinantal relations for twofold products of holomorphic abelian differentials sheds light on basic structures and leads to the explicit expressions in terms of theta functions of the canonical basis of the abelian holomorphic differentials and of the constant defining the mumford form furthermore the metric on the moduli space of canonical curves induced by the siegel metric which is shown to be equivalent to the kodairaspencer map of the square of the bergman reproducing kernel is explicitly expressed in terms of the riemann period matrix only a result previously known for the trivial cases g2 and g3 finally the induced siegel volume form is expressed in terms of the mumford form | [['a', 'section', 'k', 'on', 'a', 'genus', 'g', 'canonical', 'curve', 'c', 'is', 'identified', 'as', 'the', 'key', 'tool', 'to', 'prove', 'new', 'results', 'on', 'the', 'geometry', 'of', 'the', 'singular', 'locus', 'theta_s', 'of', 'the', 'theta', 'divisor', 'the', 'k', 'divisor', 'is', 'characterized', 'by', 'the', 'condition', 'of', 'linear', 'dependence', 'of', 'a', 'set', 'of', 'quadrics', 'containing', 'c', 'and', 'naturally', 'associated', 'to', 'a', 'degree', 'g', 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710.2125 | Chasing Lambda | Recent astronomical observations of SNIa, CMB, as well as BAO in the Sloan
Digital Sky Survey, suggest that the current Universe has entered a stage of an
accelerated expansion with the transition redshift at $z \simeq 0.5$. While the
simplest candidates to explain this fact is cosmological constant/vacuum
energy, there exists a serious problem of coincidence. In theoretical cosmology
we can find many possible approaches alleviating this problem by applying new
physics or other conception of dark energy. We consider state of art candidates
for the description of accelerating Universe in the framework of the Bayesian
model selection. We point out advantages as well as troubles of this approach.
We find that the combination of four data bases gives a stringent posterior
probability of the $\Lambda$CDM model which is 74%. This fact is a quantitative
exemplification of a turmoil in modern cosmology over the $\Lambda$ problem.
| astro-ph | recent astronomical observations of snia cmb as well as bao in the sloan digital sky survey suggest that the current universe has entered a stage of an accelerated expansion with the transition redshift at z simeq 05 while the simplest candidates to explain this fact is cosmological constantvacuum energy there exists a serious problem of coincidence in theoretical cosmology we can find many possible approaches alleviating this problem by applying new physics or other conception of dark energy we consider state of art candidates for the description of accelerating universe in the framework of the bayesian model selection we point out advantages as well as troubles of this approach we find that the combination of four data bases gives a stringent posterior probability of the lambdacdm model which is 74 this fact is a quantitative exemplification of a turmoil in modern cosmology over the lambda problem | [['recent', 'astronomical', 'observations', 'of', 'snia', 'cmb', 'as', 'well', 'as', 'bao', 'in', 'the', 'sloan', 'digital', 'sky', 'survey', 'suggest', 'that', 'the', 'current', 'universe', 'has', 'entered', 'a', 'stage', 'of', 'an', 'accelerated', 'expansion', 'with', 'the', 'transition', 'redshift', 'at', 'z', 'simeq', '05', 'while', 'the', 'simplest', 'candidates', 'to', 'explain', 'this', 'fact', 'is', 'cosmological', 'constantvacuum', 'energy', 'there', 'exists', 'a', 'serious', 'problem', 'of', 'coincidence', 'in', 'theoretical', 'cosmology', 'we', 'can', 'find', 'many', 'possible', 'approaches', 'alleviating', 'this', 'problem', 'by', 'applying', 'new', 'physics', 'or', 'other', 'conception', 'of', 'dark', 'energy', 'we', 'consider', 'state', 'of', 'art', 'candidates', 'for', 'the', 'description', 'of', 'accelerating', 'universe', 'in', 'the', 'framework', 'of', 'the', 'bayesian', 'model', 'selection', 'we', 'point', 'out', 'advantages', 'as', 'well', 'as', 'troubles', 'of', 'this', 'approach', 'we', 'find', 'that', 'the', 'combination', 'of', 'four', 'data', 'bases', 'gives', 'a', 'stringent', 'posterior', 'probability', 'of', 'the', 'lambdacdm', 'model', 'which', 'is', '74', 'this', 'fact', 'is', 'a', 'quantitative', 'exemplification', 'of', 'a', 'turmoil', 'in', 'modern', 'cosmology', 'over', 'the', 'lambda', 'problem']] | [-0.07952930013153205, 0.049083775749102346, -0.08992514351051148, 0.08807976476844936, -0.11488371337955333, -0.09390534388143824, 0.04170991369357256, 0.3278373881268685, -0.24894957839230664, -0.3276185510386649, 0.06866040664776037, -0.2815600292221324, -0.07080451402596313, 0.20527232890750907, -0.03276413175825999, -0.0010313617347816183, 0.051906358723350074, -0.0052842947730973155, -0.04485057888515469, -0.2739436573186277, 0.2855888198525326, 0.11130911320422406, 0.27988669742536665, -0.010533719607437514, 0.11919666343980169, -0.06292305532077404, -0.06562219028463205, 0.007195987960336449, -0.16615301119819464, 0.06422081791073378, 0.2672961556595074, 0.21415234818952542, 0.30650037292499505, -0.34452994586899877, -0.24128987760704063, 0.1483030611830955, 0.1762716355745534, 0.15944000716043688, -0.08600238041174024, -0.2640251550657598, 0.03754103877414209, -0.19957980198154945, -0.1382325415767423, -0.018699142113902084, -0.015955219321169774, -0.02885046383176216, -0.215972925415135, 0.153627240861294, 0.0013142759044182627, 0.00872068983591991, -0.0677090835317408, -0.12973185550510782, 0.032368223619813175, 0.042153087972459216, 0.06587513487017395, 0.06736567613911139, 0.08017132483894797, -0.16966722162810396, -0.1320815548708994, 0.4272732393280284, -0.06731885463662751, -0.06642734588040931, 0.13042617623203065, -0.13489917197188184, -0.17870541032378193, 0.0673730810538049, 0.11127078163833039, 0.05789789603704153, -0.144974857230658, 0.13242396952369895, -0.027739563070186605, 0.1642480114204187, 0.04584823866464095, 0.017911785798887275, 0.30558663832457506, 0.2146275034907899, 0.05208173087337182, 0.07527564004843429, -0.119414899233499, -0.07385666311873212, -0.32354500199578806, -0.12481922361591499, -0.17032768836002543, 0.06396661391354179, -0.11050155154135946, -0.17027673633667093, 0.3649225781499472, 0.17312681313750833, 0.21408856719611086, 0.030642820082840905, 0.3321237449417822, 0.038642764624131666, 0.030550491254559834, 0.018076339749338692, 0.30060309704635546, 0.07573185106324772, 0.10767999717611693, -0.1492489819631797, 0.024317602575150612, 0.011307852436215873] |
710.2126 | Masses, Luminosities, and Orbital Coplanarities of the mu Orionis
Quadruple Star System from PHASES Differential Astrometry | mu Orionis was identified by spectroscopic studies as a quadruple star
system. Seventeen high precision differential astrometry measurements of mu Ori
have been collected by the Palomar High-precision Astrometric Search for
Exoplanet Systems (PHASES). These show both the motion of the long period
binary orbit and short period perturbations superimposed on that caused by each
of the components in the long period system being themselves binaries. The new
measurements enable the orientations of the long period binary and short period
subsystems to be determined. Recent theoretical work predicts the distribution
of relative inclinations between inner and outer orbits of hierarchical systems
to peak near 40 and 140 degrees. The degree of coplanarity of this complex
system is determined, and the angle between the planes of the A-B and Aa-Ab
orbits is found to be 136.7 +/- 8.3 degrees, near the predicted distribution
peak at 140 degrees; this result is discussed in the context of the handful of
systems with established mutual inclinations. The system distance and masses
for each component are obtained from a combined fit of the PHASES astrometry
and archival radial velocity observations. The component masses have relative
precisions of 5% (component Aa), 15% (Ab), and 1.4% (each of Ba and Bb). The
median size of the minor axes of the uncertainty ellipses for the new
measurements is 20 micro-arcseconds. Updated orbits for delta Equulei, kappa
Pegasi, and V819 Herculis are also presented.
| astro-ph | mu orionis was identified by spectroscopic studies as a quadruple star system seventeen high precision differential astrometry measurements of mu ori have been collected by the palomar highprecision astrometric search for exoplanet systems phases these show both the motion of the long period binary orbit and short period perturbations superimposed on that caused by each of the components in the long period system being themselves binaries the new measurements enable the orientations of the long period binary and short period subsystems to be determined recent theoretical work predicts the distribution of relative inclinations between inner and outer orbits of hierarchical systems to peak near 40 and 140 degrees the degree of coplanarity of this complex system is determined and the angle between the planes of the ab and aaab orbits is found to be 1367 83 degrees near the predicted distribution peak at 140 degrees this result is discussed in the context of the handful of systems with established mutual inclinations the system distance and masses for each component are obtained from a combined fit of the phases astrometry and archival radial velocity observations the component masses have relative precisions of 5 component aa 15 ab and 14 each of ba and bb the median size of the minor axes of the uncertainty ellipses for the new measurements is 20 microarcseconds updated orbits for delta equulei kappa pegasi and v819 herculis are also presented | [['mu', 'orionis', 'was', 'identified', 'by', 'spectroscopic', 'studies', 'as', 'a', 'quadruple', 'star', 'system', 'seventeen', 'high', 'precision', 'differential', 'astrometry', 'measurements', 'of', 'mu', 'ori', 'have', 'been', 'collected', 'by', 'the', 'palomar', 'highprecision', 'astrometric', 'search', 'for', 'exoplanet', 'systems', 'phases', 'these', 'show', 'both', 'the', 'motion', 'of', 'the', 'long', 'period', 'binary', 'orbit', 'and', 'short', 'period', 'perturbations', 'superimposed', 'on', 'that', 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710.2127 | The orbits of the quadruple star system 88 Tau A from PHASES
differential astrometry and radial velocity | We have used high precision differential astrometry from the Palomar
High-precision Astrometric Search for Exoplanet Systems (PHASES) project and
radial velocity measurements covering a time-span of 20 years to determine the
orbital parameters of the 88 Tau A system. 88 Tau is a complex hierarchical
multiple system comprising a total of six stars; we have studied the brightest
4, consisting of two short-period pairs orbiting each other with an 18-year
period. We present the first orbital solution for one of the short-period
pairs, and determine the masses of the components and distance to the system to
the level of a few percent. In addition, our astrometric measurements allow us
to make the first determination of the mutual inclinations of the orbits. We
find that the sub-systems are not coplanar.
| astro-ph | we have used high precision differential astrometry from the palomar highprecision astrometric search for exoplanet systems phases project and radial velocity measurements covering a timespan of 20 years to determine the orbital parameters of the 88 tau a system 88 tau is a complex hierarchical multiple system comprising a total of six stars we have studied the brightest 4 consisting of two shortperiod pairs orbiting each other with an 18year period we present the first orbital solution for one of the shortperiod pairs and determine the masses of the components and distance to the system to the level of a few percent in addition our astrometric measurements allow us to make the first determination of the mutual inclinations of the orbits we find that the subsystems are not coplanar | [['we', 'have', 'used', 'high', 'precision', 'differential', 'astrometry', 'from', 'the', 'palomar', 'highprecision', 'astrometric', 'search', 'for', 'exoplanet', 'systems', 'phases', 'project', 'and', 'radial', 'velocity', 'measurements', 'covering', 'a', 'timespan', 'of', '20', 'years', 'to', 'determine', 'the', 'orbital', 'parameters', 'of', 'the', '88', 'tau', 'a', 'system', '88', 'tau', 'is', 'a', 'complex', 'hierarchical', 'multiple', 'system', 'comprising', 'a', 'total', 'of', 'six', 'stars', 'we', 'have', 'studied', 'the', 'brightest', '4', 'consisting', 'of', 'two', 'shortperiod', 'pairs', 'orbiting', 'each', 'other', 'with', 'an', '18year', 'period', 'we', 'present', 'the', 'first', 'orbital', 'solution', 'for', 'one', 'of', 'the', 'shortperiod', 'pairs', 'and', 'determine', 'the', 'masses', 'of', 'the', 'components', 'and', 'distance', 'to', 'the', 'system', 'to', 'the', 'level', 'of', 'a', 'few', 'percent', 'in', 'addition', 'our', 'astrometric', 'measurements', 'allow', 'us', 'to', 'make', 'the', 'first', 'determination', 'of', 'the', 'mutual', 'inclinations', 'of', 'the', 'orbits', 'we', 'find', 'that', 'the', 'subsystems', 'are', 'not', 'coplanar']] | [-0.18835960571877947, 0.09316087900870751, -0.06590039220949014, 0.0064579717239162835, -0.06423163199219709, -0.07717773034201228, 0.06740840664313918, 0.33551485757812743, -0.20725722779888053, -0.3770810028812451, 0.09222044159799035, -0.31514830184133014, -0.03387590375766808, 0.22134698973968625, -0.019845996070075637, 0.05659319695027531, 0.1488554219700858, 0.00997524072737397, -0.08901615247902886, -0.28575557679688746, 0.28125954432369665, 0.01257286795465521, 0.09571645060435024, -0.07108398939143548, 0.10460557602706921, 0.0012558232686056415, -0.051324870985392984, -0.04270992111125889, -0.15546269211116068, 0.10736940397570531, 0.18945821517601955, 0.12098265463457436, 0.21319692802449414, -0.3228672012657851, -0.12419788132407233, 0.07008678647292446, 0.1267607631342298, 0.08373557288396397, 0.013943790086335683, -0.2626599428684328, 0.08355060251350262, -0.21694493189800618, -0.1812001167572746, -0.031083157929490762, 0.09777896295034492, 0.04307426600319932, -0.25114949541022036, 0.060696904660318074, 0.002447828072910161, 0.11831435227095215, -0.13222108428662485, -0.12813039930526512, -0.03819382112372176, 0.17326133271910307, -0.019886422911370102, 0.026407082165571565, 0.08700176371737968, -0.05327271602239258, -0.10639467366425999, 0.4053111181327308, -0.0886100553907454, -0.09685401774423066, 0.22719097525502244, -0.22617793598497926, -0.15463886088005793, 0.1320648297122427, 0.21593483383659012, 0.15697040351995722, -0.20298751609674257, -0.032764017635635134, -0.018419369744757812, 0.23751558647888113, 0.06549016575061882, 0.07615462428882949, 0.3090037211140459, 0.1617244237297496, 0.06386422639835199, 0.06477203695220844, -0.24835457822105797, -0.040386636590863965, -0.22981651524820026, -0.14836800170975717, -0.11190599964772777, 0.02046936099038932, -0.07740152101973234, -0.11662513907960897, 0.4196549445361823, 0.14134489337267542, 0.22304116028483756, 0.011684173153164659, 0.2852254094801439, 0.06796114013057433, 0.09854741651502116, 0.06226968624838447, 0.3469082106792823, 0.14376936155703468, 0.07849127055658389, -0.22433210597662329, 0.022904787180122246, 0.001678404253871404] |
710.2128 | Interferometric Observations of V1663 Aquilae (Nova Aql 2005) | We have resolved the classical nova V1663 Aql using long-baseline near-IR
interferometry covering the period from 5--18 days after peak brightness. We
directly measure the shape and size of the fireball, which we find to be
asymmetric. In addition we measure an apparent expansion rate of 0.21 +/- 0.03
mas/day. Assuming a linear expansion model we infer a time of initial outburst
approximately 4 days prior to peak brightness. When combined with published
spectroscopic expansion velocities our angular expansion rate implies a
distance of 8.9 +/- 3.6 kpc. This distance measurement is independent of, but
consistent with, determinations made using widely available photometric
relations for novae.
| astro-ph | we have resolved the classical nova v1663 aql using longbaseline nearir interferometry covering the period from 518 days after peak brightness we directly measure the shape and size of the fireball which we find to be asymmetric in addition we measure an apparent expansion rate of 021 003 masday assuming a linear expansion model we infer a time of initial outburst approximately 4 days prior to peak brightness when combined with published spectroscopic expansion velocities our angular expansion rate implies a distance of 89 36 kpc this distance measurement is independent of but consistent with determinations made using widely available photometric relations for novae | [['we', 'have', 'resolved', 'the', 'classical', 'nova', 'v1663', 'aql', 'using', 'longbaseline', 'nearir', 'interferometry', 'covering', 'the', 'period', 'from', '518', 'days', 'after', 'peak', 'brightness', 'we', 'directly', 'measure', 'the', 'shape', 'and', 'size', 'of', 'the', 'fireball', 'which', 'we', 'find', 'to', 'be', 'asymmetric', 'in', 'addition', 'we', 'measure', 'an', 'apparent', 'expansion', 'rate', 'of', '021', '003', 'masday', 'assuming', 'a', 'linear', 'expansion', 'model', 'we', 'infer', 'a', 'time', 'of', 'initial', 'outburst', 'approximately', '4', 'days', 'prior', 'to', 'peak', 'brightness', 'when', 'combined', 'with', 'published', 'spectroscopic', 'expansion', 'velocities', 'our', 'angular', 'expansion', 'rate', 'implies', 'a', 'distance', 'of', '89', '36', 'kpc', 'this', 'distance', 'measurement', 'is', 'independent', 'of', 'but', 'consistent', 'with', 'determinations', 'made', 'using', 'widely', 'available', 'photometric', 'relations', 'for', 'novae']] | [-0.052215798116555814, 0.10122228718096575, -0.142698019661588, 0.04165998950105576, -0.06923660998983146, -0.10875508808123979, 0.09161044428468619, 0.4383565291256002, -0.23232455049795145, -0.32509458585398143, 0.1082040515674043, -0.3089379667602841, 0.021478745145994484, 0.1971187267336063, -0.05576394587411609, 0.025448115619387732, 0.12726751826613128, -0.037650878080031244, -0.11961410750490296, -0.25701283327150115, 0.19258650056610915, 0.08464462289279237, 0.19651098183392393, -0.02486439073431188, 0.09281562814416672, -0.03415431672689116, -0.11855359332668776, -0.04238157079654556, -0.19454062116124388, 0.031502478303912194, 0.17751227984277224, 0.12468451516694577, 0.1540142104156243, -0.31253111445643367, -0.1827262652740086, 0.06817780632878319, 0.1621135171114024, 0.04524541114461473, 0.026110884679246295, -0.23892802974091643, 0.007912042297567557, -0.21966235205368365, -0.1987740640230115, 0.055331332337798425, 0.1298419628654001, -0.00014850451922930271, -0.25428516300309234, 0.20528479358543036, -0.02765348912171513, 0.1338362468912908, -0.11742672010650407, -0.11106076660267647, 0.02789098389889792, 0.04302252323996249, 0.01658441393197632, 0.13678412937821405, 0.08208688343671666, -0.029823668118005672, -0.021824170030581142, 0.3438558571257638, -0.1524047568481126, 0.03276075918263602, 0.1562317280568978, -0.22138284918065498, -0.11143345130128261, 0.1317116834621117, 0.1393308314693712, 0.10642872208919267, -0.17594596228036166, -0.029222167839038467, 0.005783632298190038, 0.2798090609314951, 0.11342106058004593, 0.07109984183611656, 0.2731405190074617, 0.1112046442378891, -0.013695880711910505, 0.06605549318403982, -0.27756362638065535, -0.04739982122103277, -0.26753292086271985, -0.05635931050784669, -0.15475108814979588, 0.1227731658507464, -0.16683337550813182, -0.10055430208387088, 0.36019809568951866, 0.1238684689683175, 0.24646444801123613, 0.06656571886461518, 0.274053202869678, 0.09647079621039295, 0.10905503273392843, 0.12523705598862064, 0.3500520291023897, 0.16555350242483258, 0.10699367727089709, -0.21138601494021714, 0.09598755760082198, 0.02163551650145679] |
710.2129 | Partition Functions of Three-Dimensional Pure Gravity | The three-dimensional pure quantum gravity with a negative cosmological
constant has been conjectured to be dual to an extremal conformal field theory
(ECFT), of central charge c=24k for some positive integer k. We compute the
partition function of the dual ECFT by summing over gravitational instanton
contributions. In particular, we conjecture an exact expression for the
contribution from handlebodies to the partition function for all genera and all
values of k, and provide nontrivial evidences for the conjecture at genus two.
| hep-th | the threedimensional pure quantum gravity with a negative cosmological constant has been conjectured to be dual to an extremal conformal field theory ecft of central charge c24k for some positive integer k we compute the partition function of the dual ecft by summing over gravitational instanton contributions in particular we conjecture an exact expression for the contribution from handlebodies to the partition function for all genera and all values of k and provide nontrivial evidences for the conjecture at genus two | [['the', 'threedimensional', 'pure', 'quantum', 'gravity', 'with', 'a', 'negative', 'cosmological', 'constant', 'has', 'been', 'conjectured', 'to', 'be', 'dual', 'to', 'an', 'extremal', 'conformal', 'field', 'theory', 'ecft', 'of', 'central', 'charge', 'c24k', 'for', 'some', 'positive', 'integer', 'k', 'we', 'compute', 'the', 'partition', 'function', 'of', 'the', 'dual', 'ecft', 'by', 'summing', 'over', 'gravitational', 'instanton', 'contributions', 'in', 'particular', 'we', 'conjecture', 'an', 'exact', 'expression', 'for', 'the', 'contribution', 'from', 'handlebodies', 'to', 'the', 'partition', 'function', 'for', 'all', 'genera', 'and', 'all', 'values', 'of', 'k', 'and', 'provide', 'nontrivial', 'evidences', 'for', 'the', 'conjecture', 'at', 'genus', 'two']] | [-0.1491828319835074, 0.12091853015195222, -0.08414792348228303, 0.06261519328863532, -0.04783699819013292, -0.13747554377618212, -0.02482446069099055, 0.28131462323168915, -0.21426546190474413, -0.26313737717767555, 0.028199437692370495, -0.30325047075633466, -0.1560937279122479, 0.16982156475201066, -0.006073034713389697, 0.03731164909244578, -0.06217986503386019, 0.08104504980355283, -0.09065344971087244, -0.2996197906955157, 0.3461522289873733, -0.016488780194238103, 0.19431103874043917, 0.15284822801886885, 0.10428917870201447, 0.006419057233466042, 0.005590510798940136, 0.05201440374079494, -0.2041920388974738, 0.07889207063909666, 0.2899997360130519, 0.09226132375993018, 0.18983516094194333, -0.39575709374966445, -0.1796879417285967, 0.14534753685196242, 0.11335737685339502, 0.12508385206492226, -0.04569237120162098, -0.19495706177420086, 0.14265613168202065, -0.15425959035156317, -0.16025543183571211, -0.06941016751950906, 0.09606670441226689, -0.08031961144764482, -0.26449764186780855, 0.03071029493470251, 0.01527593420519505, 0.04000260234798914, -0.09513360131991866, -0.1618253852321226, -0.0220705074902026, 0.1554100564968439, 0.09032826477454768, 0.10892639098039333, 0.04164839100184632, -0.17206492509554933, -0.15156562603366228, 0.28415195603659493, -0.09402524666676734, -0.21327501636596374, 0.09637524326688346, -0.1688748242299038, -0.16702157517688143, 0.15347437497751534, 0.07785534130892267, 0.1667210589120607, -0.05916219792489744, 0.18936436194322864, -0.07439300823772763, 0.08478661306938272, 0.13886470431576908, 0.011293934249997507, 0.28983829438364433, -0.02177056537101758, 0.07018241571423448, 0.17820683512463015, -0.00855616162772532, -0.08987960407947317, -0.3472884792121656, -0.196938637901316, -0.18390016423331368, 0.16162427332551207, -0.16570125957685064, -0.1967848921539607, 0.36599864940055543, 0.06514515905597185, 0.16814303984520612, 0.13987959420055518, 0.2261953378027236, 0.13510635115829997, 0.05561317223193193, 0.06354500666076754, 0.178876482984008, 0.195733852221711, -0.010178903353481013, -0.220592364102579, -0.05675465729156578, 0.18125890619638893] |
710.213 | Externally Dispersed Interferometry for Precision Radial Velocimetry | Externally Dispersed Interferometry (EDI) is the series combination of a
fixed-delay field-widened Michelson interferometer with a dispersive
spectrograph. This combination boosts the spectrograph performance for both
Doppler velocimetry and high resolution spectroscopy. The interferometer
creates a periodic spectral comb that multiplies against the input spectrum to
create moire fringes, which are recorded in combination with the regular
spectrum. The moire pattern shifts in phase in response to a Doppler shift.
Moire patterns are broader than the underlying spectral features and more
easily survive spectrograph blurring and common distortions. Thus, the EDI
technique allows lower resolution spectrographs having relaxed optical
tolerances (and therefore higher throughput) to return high precision velocity
measurements, which otherwise would be imprecise for the spectrograph alone.
| astro-ph | externally dispersed interferometry edi is the series combination of a fixeddelay fieldwidened michelson interferometer with a dispersive spectrograph this combination boosts the spectrograph performance for both doppler velocimetry and high resolution spectroscopy the interferometer creates a periodic spectral comb that multiplies against the input spectrum to create moire fringes which are recorded in combination with the regular spectrum the moire pattern shifts in phase in response to a doppler shift moire patterns are broader than the underlying spectral features and more easily survive spectrograph blurring and common distortions thus the edi technique allows lower resolution spectrographs having relaxed optical tolerances and therefore higher throughput to return high precision velocity measurements which otherwise would be imprecise for the spectrograph alone | [['externally', 'dispersed', 'interferometry', 'edi', 'is', 'the', 'series', 'combination', 'of', 'a', 'fixeddelay', 'fieldwidened', 'michelson', 'interferometer', 'with', 'a', 'dispersive', 'spectrograph', 'this', 'combination', 'boosts', 'the', 'spectrograph', 'performance', 'for', 'both', 'doppler', 'velocimetry', 'and', 'high', 'resolution', 'spectroscopy', 'the', 'interferometer', 'creates', 'a', 'periodic', 'spectral', 'comb', 'that', 'multiplies', 'against', 'the', 'input', 'spectrum', 'to', 'create', 'moire', 'fringes', 'which', 'are', 'recorded', 'in', 'combination', 'with', 'the', 'regular', 'spectrum', 'the', 'moire', 'pattern', 'shifts', 'in', 'phase', 'in', 'response', 'to', 'a', 'doppler', 'shift', 'moire', 'patterns', 'are', 'broader', 'than', 'the', 'underlying', 'spectral', 'features', 'and', 'more', 'easily', 'survive', 'spectrograph', 'blurring', 'and', 'common', 'distortions', 'thus', 'the', 'edi', 'technique', 'allows', 'lower', 'resolution', 'spectrographs', 'having', 'relaxed', 'optical', 'tolerances', 'and', 'therefore', 'higher', 'throughput', 'to', 'return', 'high', 'precision', 'velocity', 'measurements', 'which', 'otherwise', 'would', 'be', 'imprecise', 'for', 'the', 'spectrograph', 'alone']] | [-0.14760434022735797, 0.16936185585820124, -0.1502112661676184, 0.026581640338658223, -0.1327272395509444, -0.1894426487949716, -0.002146894235492629, 0.4763071754900347, -0.2711355732206036, -0.34174666478603827, 0.07836467494988548, -0.2571528765605029, -0.08897026640777829, 0.22182126687213527, -0.09427757790906965, 0.027214409435214866, 0.13671164296003951, -0.07345902293865733, -0.021032151145891857, -0.15687833259179562, 0.21915555487292968, 0.17812179772872008, 0.2997661410447429, -0.07631995505457666, 0.06802797927755956, -0.007659190717865439, -0.045295470415716285, 0.022650842852264392, -0.08728651401320005, 0.09646047274934269, 0.23273414216873026, 0.05674924166235259, 0.22306248570299325, -0.3627316238370356, -0.2046610103458354, 0.029889352159856372, 0.15596900787204504, 0.07548121156507492, -0.017161891199555444, -0.33004961422245416, 0.025064590289218334, -0.10710625855854768, -0.1248794187803385, -0.05166384275462635, -0.034112872023667605, 0.025154834609290883, -0.28408888644468383, 0.04775182900856398, -0.0496717154463174, 0.12881537535454796, -0.07258864691918285, -0.03979035679000516, -0.021868539723653754, 0.0987862033628616, -0.10531098647003978, 0.02037965027349336, 0.0978820471468718, -0.10755617513141337, -0.04546597877032116, 0.3770991883498906, -0.13036376580524067, -0.09664933133025129, 0.1548870081755043, -0.25749728984802084, -0.07146231520983602, 0.22317957629238358, 0.1446968843424771, 0.08029878595374337, -0.10096438980403066, -0.014395905893389918, 0.022949163758923776, 0.2522719290279666, 0.20290621935914294, 0.1699544136850711, 0.23415666596940524, 0.11953832003280145, 0.10834225623265785, 0.09700791534142052, -0.2478513270733925, 0.015571953045955602, -0.1817504454251504, -0.08591288518739723, -0.1524634033523719, -0.017959008220301456, -0.09120205933758363, -0.16483023160498222, 0.362742868659063, 0.1456486842274165, 0.1665860817125928, 0.006516492219266145, 0.4169867604290049, 0.11254759607425727, 0.14414724225507064, -0.049529192249188905, 0.2283562048193568, 0.13048943026312196, 0.16539348149378666, -0.24816956688422992, 0.003729947020902353, 0.002076883150749848] |
710.2131 | Spontaneously Broken Gauge Symmetry in SUSY Yang-Mills Theories with
Matter | The analysis of spontaneous gauge symmetry breaking of N=1 supersymmetric
SU(N_c) Yang-Mills theory with matter is performed. The supersymmetric
$R_\xi$-gauge is used and its non-local effects investigated. Superpropagators
and vertices are computed, and it is shown that the non-local terms introduced
by the $R_\xi$-gauge-fixing are well-behaved in general gauge at one-loop. It
is argued that this feature generalizes to multiple loops.
| hep-th | the analysis of spontaneous gauge symmetry breaking of n1 supersymmetric sun_c yangmills theory with matter is performed the supersymmetric r_xigauge is used and its nonlocal effects investigated superpropagators and vertices are computed and it is shown that the nonlocal terms introduced by the r_xigaugefixing are wellbehaved in general gauge at oneloop it is argued that this feature generalizes to multiple loops | [['the', 'analysis', 'of', 'spontaneous', 'gauge', 'symmetry', 'breaking', 'of', 'n1', 'supersymmetric', 'sun_c', 'yangmills', 'theory', 'with', 'matter', 'is', 'performed', 'the', 'supersymmetric', 'r_xigauge', 'is', 'used', 'and', 'its', 'nonlocal', 'effects', 'investigated', 'superpropagators', 'and', 'vertices', 'are', 'computed', 'and', 'it', 'is', 'shown', 'that', 'the', 'nonlocal', 'terms', 'introduced', 'by', 'the', 'r_xigaugefixing', 'are', 'wellbehaved', 'in', 'general', 'gauge', 'at', 'oneloop', 'it', 'is', 'argued', 'that', 'this', 'feature', 'generalizes', 'to', 'multiple', 'loops']] | [-0.11067146300920286, 0.22184084605736037, -0.06701658621896059, 0.14140989314570712, -0.0666820694381992, -0.16699278990272431, -0.08675986707094126, 0.34808619708443683, -0.14858325604194153, -0.2517655641771853, 0.056189341693728544, -0.28228735650579134, -0.19817700342585642, 0.05638678741330902, -0.016284296366696555, 0.08698901086948657, -0.019045519502833487, 0.05396914469699065, -0.0489999760951226, -0.27089851880446075, 0.29097191337884093, -0.008162385108880699, 0.27087748468620704, 0.1005356472839291, 0.11548146999363477, 0.004016612501194079, -0.05659472924501945, 0.01326386866470178, -0.07378689910716882, 0.08179669535408417, 0.2338684351105864, 0.0455693123396486, 0.1297559678166484, -0.42114325327177843, -0.252464408117036, 0.0956442992358158, 0.136187690605099, 0.13026776098025342, 0.009875162333870927, -0.29867190091560286, 0.1104070698376745, -0.15730278150488933, -0.140062603529077, -0.10370740960352123, -0.0017864275956526398, -0.16185911713788906, -0.29951301869004965, 0.08165976828119408, -0.01695405466016382, 0.04093885753924648, 0.0471560700777142, -0.07551157206568557, -0.14090940710933259, 0.03668150662754973, 0.1462609230657108, 0.07786864986022314, 0.12488315502996557, -0.16424904620507733, -0.15083865377431113, 0.43877812984089054, -0.044795842841267586, -0.22325155431559932, 0.15234878234720478, -0.11251478273576747, -0.1870872223749757, 0.11468248584618171, 0.04945491467757771, 0.18192304666154085, -0.14870766991904627, 0.2302452079456998, -0.042973972003286086, 0.10313372249171758, 0.08794803991913795, 0.03987980838574003, 0.1798744642486175, 0.10553647147802016, 0.01058504634226362, 0.15057220050754647, 0.04011460930729906, -0.15393644369517764, -0.4237704950316887, -0.07465863435839613, -0.14635626028757542, 0.03530727477627806, -0.07801485518696911, -0.12861450113656853, 0.35895160315558317, 0.1240173287029999, 0.11759264331776649, 0.056014699038739006, 0.19333479273676252, 0.15994218061678112, 0.11786008282021308, 0.025236929728028674, 0.25971805457957087, 0.18581133354843285, 0.05343901513454815, -0.2950616023503244, -0.09085725133384888, 0.17296458968582254] |
710.2132 | TEDI: the TripleSpec Exoplanet Discovery Instrument | The TEDI (TripleSpec - Exoplanet Discovery Instrument) will be the first
instrument fielded specifically for finding low-mass stellar companions. The
instrument is a near infra-red interferometric spectrometer used as a radial
velocimeter. TEDI joins Externally Dispersed Interferometery (EDI) with an
efficient, medium-resolution, near IR (0.9 - 2.4 micron) echelle spectrometer,
TripleSpec, at the Palomar 200" telescope. We describe the instrument and its
radial velocimetry demonstration program to observe cool stars.
| astro-ph | the tedi triplespec exoplanet discovery instrument will be the first instrument fielded specifically for finding lowmass stellar companions the instrument is a near infrared interferometric spectrometer used as a radial velocimeter tedi joins externally dispersed interferometery edi with an efficient mediumresolution near ir 09 24 micron echelle spectrometer triplespec at the palomar 200 telescope we describe the instrument and its radial velocimetry demonstration program to observe cool stars | [['the', 'tedi', 'triplespec', 'exoplanet', 'discovery', 'instrument', 'will', 'be', 'the', 'first', 'instrument', 'fielded', 'specifically', 'for', 'finding', 'lowmass', 'stellar', 'companions', 'the', 'instrument', 'is', 'a', 'near', 'infrared', 'interferometric', 'spectrometer', 'used', 'as', 'a', 'radial', 'velocimeter', 'tedi', 'joins', 'externally', 'dispersed', 'interferometery', 'edi', 'with', 'an', 'efficient', 'mediumresolution', 'near', 'ir', '09', '24', 'micron', 'echelle', 'spectrometer', 'triplespec', 'at', 'the', 'palomar', '200', 'telescope', 'we', 'describe', 'the', 'instrument', 'and', 'its', 'radial', 'velocimetry', 'demonstration', 'program', 'to', 'observe', 'cool', 'stars']] | [-0.06189640798017054, 0.15582202918170984, -0.17707953636315377, 0.019409037778934685, -0.17731525022399558, -0.13292908773291856, -0.003619206709759858, 0.4622009079903364, -0.12058109560765683, -0.40212897448252666, 0.12667533965534805, -0.32142209606793, -0.014397869050941047, 0.265672151105451, -0.06634822712701005, 0.0371805610236205, 0.20226308725336017, -0.15438229483826196, 0.03472705654498628, -0.19084581341046622, 0.17702908047666663, 0.18579143374774823, 0.104009275437634, -0.09587479382753372, 0.10177038338802316, -0.06029099718195058, -0.11531240875860128, -0.09040910037070074, -0.19681280177524862, -0.019209396169411346, 0.3151438659166588, 0.11637525745284032, 0.21161314547712476, -0.24994978815426722, -0.07337728811099249, -0.026078460758606738, 0.16263228056349738, -0.07648281020331471, -0.04860682812902857, -0.32928729214815095, 0.029433003154254574, -0.148406422806575, -0.25738509484183264, 0.0392634755698964, 0.013656698961687438, 0.02336192099541864, -0.271604568204459, -0.06226759294890251, -0.08672261796891689, 0.2494230826577062, -0.1854766814948936, -0.11618761240970343, -0.0326306039813276, 0.0707549563547432, -0.16585919903659754, 0.0974400646313477, 0.1682427530450856, -0.08244343507206342, 0.02672056348220555, 0.3087064231581548, -0.16611064902013717, 0.14097996599807897, 0.1836345545187428, -0.24267109711175128, -0.16646107125972562, 0.15857658687266796, 0.1738824572907213, 0.1927894654971383, -0.2224773331271375, 0.021383604907040374, 0.007182145313195446, 0.28595793282832294, 0.11926620162900209, 0.12613562958808067, 0.35684949197285976, 0.1392158529830768, 0.05728770156993585, 0.11531663009201806, -0.44678263136130925, 0.07248991123838898, -0.18806711032822718, -0.16899936190491324, -0.13125273136435733, 0.014407321553923847, -0.06515316958928666, -0.08621347688056309, 0.26617527429462984, 0.11118659597602398, 0.0867570935652646, 0.011590445308042142, 0.38804014318841784, 0.015703240955618265, 0.1803147802608745, 0.03692816800535451, 0.37132842427886587, 0.1313597312580575, 0.24572475959875567, -0.2773407632553512, -0.052290869339177495, 0.02684936683405848] |
710.2133 | Resolving the Outer Disks and Halos of Nearby Galaxies | In a hierarchical merging scenario, the outer parts of a galaxy are a fossil
record of the galaxy's early history. Observations of the outer disks and halos
of galaxies thus provide a tool to study individual galaxy histories and test
formation theories. Locally, an impressive effort has been made to understand
the halo of the Milky Way, Andromeda, and M33. However, due to the stochastic
nature of halo formation, a better understanding of this process requires a
large sample of galaxies with known halo properties. The GHOSTS project (PI: R.
de Jong) aims to characterize the halos and outer portions of 14 nearby (D=4-14
Mpc) spiral galaxies using the Hubble Space Telescope. Detection of individual
stars in the outer parts of these galaxies enables us to study both the
morphological properties of the galaxies, and determine the stars' metallicity
and age.
| astro-ph | in a hierarchical merging scenario the outer parts of a galaxy are a fossil record of the galaxys early history observations of the outer disks and halos of galaxies thus provide a tool to study individual galaxy histories and test formation theories locally an impressive effort has been made to understand the halo of the milky way andromeda and m33 however due to the stochastic nature of halo formation a better understanding of this process requires a large sample of galaxies with known halo properties the ghosts project pi r de jong aims to characterize the halos and outer portions of 14 nearby d414 mpc spiral galaxies using the hubble space telescope detection of individual stars in the outer parts of these galaxies enables us to study both the morphological properties of the galaxies and determine the stars metallicity and age | [['in', 'a', 'hierarchical', 'merging', 'scenario', 'the', 'outer', 'parts', 'of', 'a', 'galaxy', 'are', 'a', 'fossil', 'record', 'of', 'the', 'galaxys', 'early', 'history', 'observations', 'of', 'the', 'outer', 'disks', 'and', 'halos', 'of', 'galaxies', 'thus', 'provide', 'a', 'tool', 'to', 'study', 'individual', 'galaxy', 'histories', 'and', 'test', 'formation', 'theories', 'locally', 'an', 'impressive', 'effort', 'has', 'been', 'made', 'to', 'understand', 'the', 'halo', 'of', 'the', 'milky', 'way', 'andromeda', 'and', 'm33', 'however', 'due', 'to', 'the', 'stochastic', 'nature', 'of', 'halo', 'formation', 'a', 'better', 'understanding', 'of', 'this', 'process', 'requires', 'a', 'large', 'sample', 'of', 'galaxies', 'with', 'known', 'halo', 'properties', 'the', 'ghosts', 'project', 'pi', 'r', 'de', 'jong', 'aims', 'to', 'characterize', 'the', 'halos', 'and', 'outer', 'portions', 'of', '14', 'nearby', 'd414', 'mpc', 'spiral', 'galaxies', 'using', 'the', 'hubble', 'space', 'telescope', 'detection', 'of', 'individual', 'stars', 'in', 'the', 'outer', 'parts', 'of', 'these', 'galaxies', 'enables', 'us', 'to', 'study', 'both', 'the', 'morphological', 'properties', 'of', 'the', 'galaxies', 'and', 'determine', 'the', 'stars', 'metallicity', 'and', 'age']] | [-0.08496900603308209, 0.029252317172878455, -0.1466251112919833, 0.10294153079787845, -0.1703581802680024, 0.038042340853384565, 0.005257487290405802, 0.38350534832903316, -0.1352202575922482, -0.37801641703450256, 0.022957169028398183, -0.2418211686092296, -0.03885543857343562, 0.1727296774608216, -0.0274693105735683, -0.015946428957561563, 0.044922741436000384, -0.08656510013700297, -0.03819263315360461, -0.3332536817628092, 0.3000164203379037, 0.10305763397565378, 0.15294551716984384, -0.11077087555978714, 0.07369172552633764, -0.10981178591693086, -0.11980427856823163, -0.0703467627956083, -0.195007592100384, 0.06970465617653515, 0.2782799299324064, 0.16882110572519846, 0.2749498080761571, -0.4066449264594017, -0.1876605656929314, 0.08967358055940297, 0.2378067092710158, 0.034833431904137666, -0.09495496403958116, -0.30526857233739324, 0.08492129806961332, -0.17368023139507777, -0.20300436899997293, 0.08172476473264396, 0.024592334614135326, -0.0013606342503667942, -0.18874856254884176, 0.13893953812242085, 0.0567647126137412, 0.06187258528079838, -0.07583620681626989, -0.042755544574798215, -0.05327730341232382, 0.14593041132071188, 0.006865384582488332, 0.04512942055838981, 0.2299921316892973, -0.16625153072610763, -0.015492251415603927, 0.4258810709297125, -0.023303822880344733, 0.030816663023350493, 0.261401340411976, -0.21867376591877213, -0.15781113060802454, 0.0459028838836405, 0.18165444958223295, 0.1206448435425825, -0.1879623955115676, 0.07884604222157837, -0.01529226471736495, 0.20098973765437092, 0.029329755087383093, 0.05685244721846954, 0.34622514226606915, 0.1064213892245399, 0.09045250506023876, 0.08980109949396657, -0.18297074317399944, -0.049519301393801084, -0.18837551168066316, -0.1554763358751578, -0.09718268046521449, 0.05176957412622869, -0.1503889133881395, -0.1425560085169439, 0.38671827478267784, 0.08463812470103481, 0.26115043983029734, 0.06861604186041015, 0.31855793776256697, -0.028280445208240832, 0.1409581626831953, 0.09625449871943731, 0.2632518144457468, 0.21199954865566853, 0.02919539783283004, -0.2769103329412506, 0.09610505907330662, -0.0030788290380899396] |
710.2134 | Discrete entropies of orthogonal polynomials | Let $p_n$ be the $n$-th orthonormal polynomial on the real line, whose zeros
are $\lambda_j^{(n)}$, $j=1, ..., n$. Then for each $j=1, ..., n$, $$ \vec
\Psi_j^2 = (\Psi_{1j}^2, ..., \Psi_{nj}^2) $$ with $$ \Psi_{ij}^2= p_{i-1}^2
(\lambda_j^{(n)}) (\sum_{k=0}^{n-1} p_k^2(\lambda_j^{(n)}))^{-1}, \quad i=1,
>..., n, $$ defines a discrete probability distribution. The Shannon entropy of
the sequence $\{p_n\}$ is consequently defined as $$ \mathcal S_{n,j} =
-\sum_{i=1}^n \Psi_{ij}^{2} \log (\Psi_{ij}^{2}) . $$ In the case of Chebyshev
polynomials of the first and second kinds an explicit and closed formula for
$\mathcal S_{n,j}$ is obtained, revealing interesting connections with the
number theory. Besides, several results of numerical computations exemplifying
the behavior of $\mathcal S_{n,j}$ for other families are also presented.
| math.CA cs.IT math-ph math.IT math.MP | let p_n be the nth orthonormal polynomial on the real line whose zeros are lambda_jn j1 n then for each j1 n vec psi_j2 psi_1j2 psi_nj2 with psi_ij2 p_i12 lambda_jn sum_k0n1 p_k2lambda_jn1 quad i1 n defines a discrete probability distribution the shannon entropy of the sequence p_n is consequently defined as mathcal s_nj sum_i1n psi_ij2 log psi_ij2 in the case of chebyshev polynomials of the first and second kinds an explicit and closed formula for mathcal s_nj is obtained revealing interesting connections with the number theory besides several results of numerical computations exemplifying the behavior of mathcal s_nj for other families are also presented | [['let', 'p_n', 'be', 'the', 'nth', 'orthonormal', 'polynomial', 'on', 'the', 'real', 'line', 'whose', 'zeros', 'are', 'lambda_jn', 'j1', 'n', 'then', 'for', 'each', 'j1', 'n', 'vec', 'psi_j2', 'psi_1j2', 'psi_nj2', 'with', 'psi_ij2', 'p_i12', 'lambda_jn', 'sum_k0n1', 'p_k2lambda_jn1', 'quad', 'i1', 'n', 'defines', 'a', 'discrete', 'probability', 'distribution', 'the', 'shannon', 'entropy', 'of', 'the', 'sequence', 'p_n', 'is', 'consequently', 'defined', 'as', 'mathcal', 's_nj', 'sum_i1n', 'psi_ij2', 'log', 'psi_ij2', 'in', 'the', 'case', 'of', 'chebyshev', 'polynomials', 'of', 'the', 'first', 'and', 'second', 'kinds', 'an', 'explicit', 'and', 'closed', 'formula', 'for', 'mathcal', 's_nj', 'is', 'obtained', 'revealing', 'interesting', 'connections', 'with', 'the', 'number', 'theory', 'besides', 'several', 'results', 'of', 'numerical', 'computations', 'exemplifying', 'the', 'behavior', 'of', 'mathcal', 's_nj', 'for', 'other', 'families', 'are', 'also', 'presented']] | [-0.20312269590314977, 0.1173518386289307, -0.011884921969673069, 0.002687417141152258, -0.027335212000684103, -0.17761319376931517, -0.019140740384866205, 0.29701975265460223, -0.28186278876076815, -0.18555005929269588, 0.06062859270275215, -0.353638925224773, -0.13486025553225472, 0.18897019629126666, -0.017484073892005327, 0.05203370635335324, -0.01832592504497464, 0.1504059690242806, -0.0793816350621277, -0.2765181270072755, 0.2825333193381384, -0.055102002398907834, 0.16960324683303454, -0.003039922826931231, 0.06875169085030872, -0.01137553426657909, 0.01083074440008279, -0.07434876125123467, -0.19182815414267718, 0.09314133611762147, 0.27018560128305685, 0.13446704575254284, 0.232866012736118, -0.36016231802167353, -0.07072434860123225, 0.2089033401523208, 0.20569979005790862, -0.06028253827052018, 0.04765052683819469, -0.26096402181398853, 0.09802593223116908, -0.13155232956897006, -0.16162944728323766, -0.0693957098404464, 0.11120292075823263, 0.10089925054182328, -0.36576500085672153, 0.017902704716369643, 0.07078719847192316, 0.08591450581365485, 0.01687852621136099, -0.22326974493941082, -0.06771734228223256, 0.08071399283278541, -0.002317047949244878, 0.07705444471968204, -0.0030091513217109997, -0.02713095073674604, -0.1025330980750012, 0.3402763793494591, -0.039260964677429074, -0.24250466852765723, 0.029461064702379948, -0.15972326262181952, -0.19294979992639466, 0.1011707869876829, 0.053640787633731195, 0.1806688298730506, -0.018544922189153348, 0.19364420550793754, -0.1159059686595862, 0.0956409959141741, 0.11369421982119993, 0.04481265716946002, 0.08745054423463405, 0.022940214953778945, 0.031107923491214662, 0.14496153600444325, -0.015658376814039022, -0.1093746369666199, -0.36966119698949695, -0.18711486097290805, -0.22888737831495165, 0.1111082484436788, -0.18656973932964546, -0.14257072801635715, 0.3125911686646262, 0.03715840720369951, 0.21790783688157184, 0.1555301935391587, 0.21686597012905115, 0.1500754795150025, -0.03409746778437618, 0.08181088259827692, 0.028588321139152672, 0.19026889834197758, 0.0034150513664329635, -0.19976748379467046, 0.04115434896054476, 0.1874847522811945] |
710.2135 | IC 4406: a radio-infrared view | IC 4406 is a large (about 100'' x 30'') southern bipolar planetary nebula,
composed of two elongated lobes extending from a bright central region, where
there is evidence for the presence of a large torus of gas and dust. We show
new observations of this source performed with IRAC (Spitzer Space Telescope)
and the Australia Telescope Compact Array. The radio maps show that the flux
from the ionized gas is concentrated in the bright central region and
originates in a clumpy structure previously observed in H_alpha, while in the
infrared images filaments and clumps can be seen in the extended nebular
envelope, the central region showing toroidal emission. Modeling of the
infrared emission leads to the conclusion that several dust components are
present in the nebula.
| astro-ph | ic 4406 is a large about 100 x 30 southern bipolar planetary nebula composed of two elongated lobes extending from a bright central region where there is evidence for the presence of a large torus of gas and dust we show new observations of this source performed with irac spitzer space telescope and the australia telescope compact array the radio maps show that the flux from the ionized gas is concentrated in the bright central region and originates in a clumpy structure previously observed in h_alpha while in the infrared images filaments and clumps can be seen in the extended nebular envelope the central region showing toroidal emission modeling of the infrared emission leads to the conclusion that several dust components are present in the nebula | [['ic', '4406', 'is', 'a', 'large', 'about', '100', 'x', '30', 'southern', 'bipolar', 'planetary', 'nebula', 'composed', 'of', 'two', 'elongated', 'lobes', 'extending', 'from', 'a', 'bright', 'central', 'region', 'where', 'there', 'is', 'evidence', 'for', 'the', 'presence', 'of', 'a', 'large', 'torus', 'of', 'gas', 'and', 'dust', 'we', 'show', 'new', 'observations', 'of', 'this', 'source', 'performed', 'with', 'irac', 'spitzer', 'space', 'telescope', 'and', 'the', 'australia', 'telescope', 'compact', 'array', 'the', 'radio', 'maps', 'show', 'that', 'the', 'flux', 'from', 'the', 'ionized', 'gas', 'is', 'concentrated', 'in', 'the', 'bright', 'central', 'region', 'and', 'originates', 'in', 'a', 'clumpy', 'structure', 'previously', 'observed', 'in', 'h_alpha', 'while', 'in', 'the', 'infrared', 'images', 'filaments', 'and', 'clumps', 'can', 'be', 'seen', 'in', 'the', 'extended', 'nebular', 'envelope', 'the', 'central', 'region', 'showing', 'toroidal', 'emission', 'modeling', 'of', 'the', 'infrared', 'emission', 'leads', 'to', 'the', 'conclusion', 'that', 'several', 'dust', 'components', 'are', 'present', 'in', 'the', 'nebula']] | [-0.09203888566671162, 0.0779322536943096, -0.04240086092244065, 0.06889479457112473, -0.06482170564529027, -0.038586361422425226, -0.017808343820636056, 0.4619457077767168, -0.15694209152004784, -0.2859835879108499, 0.09795853975118093, -0.2586476669964632, -0.056984302772593406, 0.18253553342739387, -0.02511882075613978, -0.11330780061700987, 0.06812014957771652, -0.1400420658386475, 0.0012686244315571254, -0.1717292656114931, 0.3111602832204736, 0.07265294434933273, 0.16946625630445186, 0.0175876859871168, 0.08219392068447574, -0.15817950605710465, -0.08666923081055136, -0.01361619478247742, -0.06767810063239368, 0.10099500592147546, 0.23616662103727104, 0.08216837047791434, 0.17256892420765427, -0.3770599075046087, -0.24064035432797576, 0.05878348393173563, 0.2044995608628683, -0.012694261260404592, -0.04048175669075655, -0.31316402952911127, 0.03920753397295133, -0.17564384461868376, -0.22685330449825242, 0.1400598853693477, 0.058293822736087596, 0.014850600245168492, -0.22603091663202374, 0.09360897147451483, 0.015149542710282226, 0.08818145172341564, -0.12347240092247606, -0.08158676172532732, -0.07038579468194041, 0.06717147455377032, -0.023984535406934956, 0.09022075481831081, 0.19709345722378838, -0.1562594628490005, 0.0014651236013464985, 0.3643075157518661, -0.0664998245913358, 0.027579483871776906, 0.23685796325287176, -0.2866637541483792, -0.1980326583365067, 0.2734371883728142, 0.11512475275981521, 0.09598937570782644, -0.12155783057096414, 0.046235918699364574, -0.130845130773239, 0.22980644484420146, 0.05522212990382243, 0.0746313236757285, 0.3456397001735038, 0.11036331788451957, 0.04066751027863892, 0.22420136093453963, -0.31975295718034935, -0.06979937902429983, -0.2661450919050757, -0.10882537468938926, -0.13423668372533507, 0.07463673075350623, -0.11761282568396483, -0.11047122273146034, 0.3088834906636279, 0.06218139103998149, 0.2126115295326426, -0.02283671164875, 0.31489239053963314, 0.03408716902661595, 0.13563046551823232, 0.1768570692344968, 0.3014881429336374, 0.157447913301266, 0.12111524031091009, -0.1841298158664907, 0.018499513552154578, -0.021343888156855152] |
710.2136 | Twisted equivariant K-theory for proper actions of discrete groups | We give a construction for twisted equivariant K-theory in the case of a
proper action of a discrete group using twisted bundles. Our construction uses
results of Lueck and Oliver to extend a construction of Adem and Ruan. We also
show the existence of a Chern character to twisted Bredon cohomology. This
gives a partial answer to the question of when you can construct twisted
equivariant K-theory out of finite rank twisted bundles.
| math.KT | we give a construction for twisted equivariant ktheory in the case of a proper action of a discrete group using twisted bundles our construction uses results of lueck and oliver to extend a construction of adem and ruan we also show the existence of a chern character to twisted bredon cohomology this gives a partial answer to the question of when you can construct twisted equivariant ktheory out of finite rank twisted bundles | [['we', 'give', 'a', 'construction', 'for', 'twisted', 'equivariant', 'ktheory', 'in', 'the', 'case', 'of', 'a', 'proper', 'action', 'of', 'a', 'discrete', 'group', 'using', 'twisted', 'bundles', 'our', 'construction', 'uses', 'results', 'of', 'lueck', 'and', 'oliver', 'to', 'extend', 'a', 'construction', 'of', 'adem', 'and', 'ruan', 'we', 'also', 'show', 'the', 'existence', 'of', 'a', 'chern', 'character', 'to', 'twisted', 'bredon', 'cohomology', 'this', 'gives', 'a', 'partial', 'answer', 'to', 'the', 'question', 'of', 'when', 'you', 'can', 'construct', 'twisted', 'equivariant', 'ktheory', 'out', 'of', 'finite', 'rank', 'twisted', 'bundles']] | [-0.22576525786968127, 0.06140502376883763, -0.14159278265417438, 0.09016197739800515, -0.14033063255531125, -0.12472110865510082, 0.03285775499494925, 0.33844995649199777, -0.2992014020222099, -0.20859827805463582, 0.09708682528524723, -0.16369487363239113, -0.18982771209964197, 0.19265693562003236, -0.2280194405976632, -0.01809917959665293, 0.0665628990056376, 0.06811800217957631, -0.1346764718756488, -0.31141588199893266, 0.43834398426625826, -0.002822902308751459, 0.2209742119765445, 0.10982129655217063, 0.10742979353191713, 0.026636602873722576, -0.04474713342034654, -0.043272484323545676, -0.12412375689496936, 0.19776300333236177, 0.30666958010908574, -0.011346541426450729, 0.16812416274508793, -0.35080679373062945, -0.1270985604947184, 0.11551632567576758, 0.061582024789683214, 0.06310276044149922, -0.0028849949116167956, -0.28963975396249697, 0.14036417241552718, -0.24295128219799228, -0.16919200379108015, -0.142808267483105, 0.035280596555771995, -0.03111562977404627, -0.26311953507414826, -0.048020935723038186, 0.07660570764939671, 0.12165531168104954, -0.10662286188325858, -0.04123558718966295, -0.08855894351799092, 0.11836306854391994, -0.0211081571444756, 0.015014386385015836, 0.07701423079132626, -0.08079183463657862, -0.19625750885740534, 0.3635855596002242, -0.09537332716767918, -0.2193888714409446, 0.08025055593326177, -0.12474542062678566, -0.22735805488000177, 0.11788890370461222, 0.042844532631745896, 0.19447815946457997, 0.10789906630537326, 0.13142760418042898, -0.2155864642779917, 0.0778899987687497, 0.0847350576739401, -0.05759583044899245, 0.12467172609208381, 0.03889371130347558, 0.06508699469013166, 0.17656860489411, 0.04272196362630706, -0.046692368638229696, -0.3432027267368689, -0.2828923392740289, -0.060284169033578, 0.26406868306077913, -0.028797785858368525, -0.20848317393931012, 0.47136589001915224, 0.12264300921727737, 0.22575488074822989, 0.1483673174699692, 0.20616051509708472, 0.03318056995718906, 0.017938088759626835, 0.015151395360390618, 0.11013820282604596, 0.2652787676412765, -0.0019864852170217526, -0.12166405762609554, -0.1374912644570617, 0.3230242269266754] |
710.2137 | The heat operator in infinite dimensions | Let (H,B) be an abstract Wiener space and let \mu_{s} be the Gaussian measure
on B with variance s. Let \Delta be the Laplacian (*not* the number operator),
that is, a sum of squares of derivatives associated to an orthonormal basis of
H. I will show that the heat operator \exp(t\Delta/2) is a contraction operator
from L^2(B,\mu_{s} to L^2(B,\mu_{s-t}), for all t<s. More generally, the heat
operator is a contraction from L^p(B,\mu_{s}) to L^q(B,\mu_{s-t}) for t<s,
provided that p and q satisfy (p-1)/(q-1) \leq s/(s-t).
I give two proofs of this result, both very elementary.
| math-ph math.FA math.MP | let hb be an abstract wiener space and let mu_s be the gaussian measure on b with variance s let delta be the laplacian not the number operator that is a sum of squares of derivatives associated to an orthonormal basis of h i will show that the heat operator exptdelta2 is a contraction operator from l2bmu_s to l2bmu_st for all ts more generally the heat operator is a contraction from lpbmu_s to lqbmu_st for ts provided that p and q satisfy p1q1 leq sst i give two proofs of this result both very elementary | [['let', 'hb', 'be', 'an', 'abstract', 'wiener', 'space', 'and', 'let', 'mu_s', 'be', 'the', 'gaussian', 'measure', 'on', 'b', 'with', 'variance', 's', 'let', 'delta', 'be', 'the', 'laplacian', 'not', 'the', 'number', 'operator', 'that', 'is', 'a', 'sum', 'of', 'squares', 'of', 'derivatives', 'associated', 'to', 'an', 'orthonormal', 'basis', 'of', 'h', 'i', 'will', 'show', 'that', 'the', 'heat', 'operator', 'exptdelta2', 'is', 'a', 'contraction', 'operator', 'from', 'l2bmu_s', 'to', 'l2bmu_st', 'for', 'all', 'ts', 'more', 'generally', 'the', 'heat', 'operator', 'is', 'a', 'contraction', 'from', 'lpbmu_s', 'to', 'lqbmu_st', 'for', 'ts', 'provided', 'that', 'p', 'and', 'q', 'satisfy', 'p1q1', 'leq', 'sst', 'i', 'give', 'two', 'proofs', 'of', 'this', 'result', 'both', 'very', 'elementary']] | [-0.10738948541240663, 0.16662391391356424, -0.09544024410554104, 0.022726882913977734, -0.11789054393043949, -0.14330405099834834, 0.009468188937494739, 0.3357284883658091, -0.30881083470562265, -0.18896956400324902, 0.11274458813584513, -0.31461280757147403, -0.08543934029488204, 0.19994527267602583, -0.07611863090811918, -0.05300027421779103, 0.04617397462328275, 0.10344905812914172, -0.056470523497814104, -0.20057259879799352, 0.3177835556368033, -0.009867565168274774, 0.15933632508127227, 0.028852099656230874, 0.061653932613424126, -0.029276069613277084, 0.007673709575707714, 0.00914089332768021, -0.13042610819417558, 0.10050676271008949, 0.25304159846984675, 0.1524443944916129, 0.2773610047892564, -0.36150496086726586, -0.17274346893342832, 0.20801261335921784, 0.14623338354027104, -0.06940314879433976, 0.03193511854802233, -0.24254080969322886, 0.13208665156530008, -0.11568180991129742, -0.11055847719932596, -0.09144059369767395, 0.08840231426939782, 0.005638325271300143, -0.3970771339463277, 0.0397132613359847, 0.12370007476872869, 0.05903652853642901, -0.03382898614638381, -0.17661870346508093, -0.055110098359485465, 0.023308797511789534, -0.01521432375173188, 0.09072703285039299, 0.0381192518501646, -0.01726419663625873, -0.07547388754578101, 0.3430540069937706, -0.10220668094439639, -0.2529438988202148, 0.10225476764349474, -0.2016296524864932, -0.07559961901149816, 0.07576766526326537, 0.10826062553872665, 0.12202964288492997, -0.12212522183027533, 0.1476901226871026, -0.04863556943212946, 0.13366291980362602, 0.06388402660894725, 0.0030487157456162905, 0.11058319883886725, 0.0495109666733899, 0.15967511115595698, 0.10683392842636547, -0.02616035670054973, -0.016056992527511384, -0.38273301073867416, -0.2064947212839292, -0.2236506577542362, 0.1351806162884006, -0.14277011546170496, -0.17622057578215997, 0.344447397849419, 0.10038076083486279, 0.22247090843092238, 0.08741274628943453, 0.2190535408548183, 0.1920988542596913, 0.03458974667139248, 0.1113205049963047, 0.09444112131734275, 0.20782874352816078, 0.04843329665664997, -0.2025293708158036, 0.024467307096347212, 0.15607806801692478] |
710.2138 | Hysteretic Optimization For Spin Glasses | The recently proposed Hysteretic Optimization (HO) procedure is applied to
the 1D Ising spin chain with long range interactions. To study its
effectiveness, the quality of ground state energies found as a function of the
distance dependence exponent, $\sigma$, is assessed. It is found that the
transition from an infinite-range to a long-range interaction at $\sigma=0.5$
is accompanied by a sharp decrease in the performance . The transition is
signaled by a change in the scaling behavior of the average avalanche size
observed during the hysteresis process. This indicates that HO requires the
system to be infinite-range, with a high degree of interconnectivity between
variables leading to large avalanches, in order to function properly. An
analysis of the way auto-correlations evolve during the optimization procedure
confirm that the search of phase space is less efficient, with the system
becoming effectively stuck in suboptimal configurations much earlier. These
observations explain the poor performance that HO obtained for the
Edwards-Anderson spin glass on finite-dimensional lattices, and suggest that
its usefulness might be limited in many combinatorial optimization problems.
| cond-mat.soft | the recently proposed hysteretic optimization ho procedure is applied to the 1d ising spin chain with long range interactions to study its effectiveness the quality of ground state energies found as a function of the distance dependence exponent sigma is assessed it is found that the transition from an infiniterange to a longrange interaction at sigma05 is accompanied by a sharp decrease in the performance the transition is signaled by a change in the scaling behavior of the average avalanche size observed during the hysteresis process this indicates that ho requires the system to be infiniterange with a high degree of interconnectivity between variables leading to large avalanches in order to function properly an analysis of the way autocorrelations evolve during the optimization procedure confirm that the search of phase space is less efficient with the system becoming effectively stuck in suboptimal configurations much earlier these observations explain the poor performance that ho obtained for the edwardsanderson spin glass on finitedimensional lattices and suggest that its usefulness might be limited in many combinatorial optimization problems | [['the', 'recently', 'proposed', 'hysteretic', 'optimization', 'ho', 'procedure', 'is', 'applied', 'to', 'the', '1d', 'ising', 'spin', 'chain', 'with', 'long', 'range', 'interactions', 'to', 'study', 'its', 'effectiveness', 'the', 'quality', 'of', 'ground', 'state', 'energies', 'found', 'as', 'a', 'function', 'of', 'the', 'distance', 'dependence', 'exponent', 'sigma', 'is', 'assessed', 'it', 'is', 'found', 'that', 'the', 'transition', 'from', 'an', 'infiniterange', 'to', 'a', 'longrange', 'interaction', 'at', 'sigma05', 'is', 'accompanied', 'by', 'a', 'sharp', 'decrease', 'in', 'the', 'performance', 'the', 'transition', 'is', 'signaled', 'by', 'a', 'change', 'in', 'the', 'scaling', 'behavior', 'of', 'the', 'average', 'avalanche', 'size', 'observed', 'during', 'the', 'hysteresis', 'process', 'this', 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0.036080176127808436] |
710.2139 | Approximation algorithms and hardness for domination with propagation | The power dominating set (PDS) problem is the following extension of the
well-known dominating set problem: find a smallest-size set of nodes $S$ that
power dominates all the nodes, where a node $v$ is power dominated if (1) $v$
is in $S$ or $v$ has a neighbor in $S$, or (2) $v$ has a neighbor $w$ such that
$w$ and all of its neighbors except $v$ are power dominated. We show a hardness
of approximation threshold of $2^{\log^{1-\epsilon}{n}}$ in contrast to the
logarithmic hardness for the dominating set problem. We give an $O(\sqrt{n})$
approximation algorithm for planar graphs, and show that our methods cannot
improve on this approximation guarantee. Finally, we initiate the study of PDS
on directed graphs, and show the same hardness threshold of
$2^{\log^{1-\epsilon}{n}}$ for directed \emph{acyclic} graphs. Also we show
that the directed PDS problem can be solved optimally in linear time if the
underlying undirected graph has bounded tree-width.
| cs.CC cs.DM | the power dominating set pds problem is the following extension of the wellknown dominating set problem find a smallestsize set of nodes s that power dominates all the nodes where a node v is power dominated if 1 v is in s or v has a neighbor in s or 2 v has a neighbor w such that w and all of its neighbors except v are power dominated we show a hardness of approximation threshold of 2log1epsilonn in contrast to the logarithmic hardness for the dominating set problem we give an osqrtn approximation algorithm for planar graphs and show that our methods cannot improve on this approximation guarantee finally we initiate the study of pds on directed graphs and show the same hardness threshold of 2log1epsilonn for directed emphacyclic graphs also we show that the directed pds problem can be solved optimally in linear time if the underlying undirected graph has bounded treewidth | [['the', 'power', 'dominating', 'set', 'pds', 'problem', 'is', 'the', 'following', 'extension', 'of', 'the', 'wellknown', 'dominating', 'set', 'problem', 'find', 'a', 'smallestsize', 'set', 'of', 'nodes', 's', 'that', 'power', 'dominates', 'all', 'the', 'nodes', 'where', 'a', 'node', 'v', 'is', 'power', 'dominated', 'if', '1', 'v', 'is', 'in', 's', 'or', 'v', 'has', 'a', 'neighbor', 'in', 's', 'or', '2', 'v', 'has', 'a', 'neighbor', 'w', 'such', 'that', 'w', 'and', 'all', 'of', 'its', 'neighbors', 'except', 'v', 'are', 'power', 'dominated', 'we', 'show', 'a', 'hardness', 'of', 'approximation', 'threshold', 'of', '2log1epsilonn', 'in', 'contrast', 'to', 'the', 'logarithmic', 'hardness', 'for', 'the', 'dominating', 'set', 'problem', 'we', 'give', 'an', 'osqrtn', 'approximation', 'algorithm', 'for', 'planar', 'graphs', 'and', 'show', 'that', 'our', 'methods', 'can', 'not', 'improve', 'on', 'this', 'approximation', 'guarantee', 'finally', 'we', 'initiate', 'the', 'study', 'of', 'pds', 'on', 'directed', 'graphs', 'and', 'show', 'the', 'same', 'hardness', 'threshold', 'of', '2log1epsilonn', 'for', 'directed', 'emphacyclic', 'graphs', 'also', 'we', 'show', 'that', 'the', 'directed', 'pds', 'problem', 'can', 'be', 'solved', 'optimally', 'in', 'linear', 'time', 'if', 'the', 'underlying', 'undirected', 'graph', 'has', 'bounded', 'treewidth']] | [-0.15174922236398636, 0.08126565764815767, -0.01372493849462503, 0.03464484597743767, -0.07736319260272596, -0.1518711230669219, 0.09320717217954777, 0.4161219164825879, -0.3277398346100825, -0.28599750421118814, 0.05415164456436677, -0.31940564423702755, -0.12924908525189505, 0.1365435949599298, -0.03750098025269032, 0.026101986447866255, 0.08466986000429017, 0.1048179466289456, 0.022404764524915, -0.2648571886452196, 0.28690207531288653, -0.017167591384019364, 0.18210657474784447, 0.08806670017467884, 0.07424487351959982, 0.021519954691266083, 0.0077780879997684585, 0.1264575042201708, -0.12139135994438185, 0.0661466485856996, 0.24492069770424785, 0.15125762090667502, 0.27865482730391833, -0.3818225147045375, -0.20219437183824357, 0.2186860411349297, 0.10267685885335524, 0.03860621210852904, 0.015188063235572454, -0.15975657169247506, 0.1792664640808369, -0.1316239116577335, -0.06627512934871695, 0.008327493752510129, 0.12173100211959961, 0.0456836418892777, -0.30567118957602457, 0.019564467686184608, 0.13777571233207142, -0.015160541254240874, 0.0002887986620053552, -0.14945843752153073, -0.026264562805231612, 0.07421911478211934, -0.06296417575674253, 0.07765190693770548, 0.039887425459107964, -0.12813011537965194, -0.16935071046766523, 0.38819305139122073, -0.05065549476648221, -0.12652114188516295, 0.10865424282383174, -0.11496762796486547, -0.14366135099304042, 0.10632223534615493, 0.16492424304022563, 0.14852275762876327, -0.07955451186915691, 0.17711721909989894, -0.11081115399523601, 0.16382455813105812, 0.0727135686826735, -0.003412391068171952, 0.08427619038742375, 0.14776985516299965, 0.17370971996796788, 0.16631696431809892, -0.04607333203886527, -0.000978242333784893, -0.2796761434934973, -0.07302535288398723, -0.22107734291227654, 0.061849742889039175, -0.15047612855206743, -0.16868088821965185, 0.42123934413705555, 0.1057642983308957, 0.22825438332707657, 0.10052328133447604, 0.24035759783023364, 0.1607607668216564, -0.0036375175635390855, 0.21269903221627237, 0.2132299521744445, 0.11055731747069626, 0.0034378645276384695, -0.19649950492002263, 0.10120257502572926, 0.09818726076845416] |
710.214 | Noncommutative field theories from a deformation point of view | In this review we discuss the global geometry of noncommutative field
theories from a deformation point of view: The space-times under consideration
are deformations of classical space-time manifolds using star products. Then
matter fields are encoded in deformation quantizations of vector bundles over
the classical space-time. For gauge theories we establish a notion of
deformation quantization of a principal fiber bundle and show how the
deformation of associated vector bundles can be obtained.
| math.QA math-ph math.MP | in this review we discuss the global geometry of noncommutative field theories from a deformation point of view the spacetimes under consideration are deformations of classical spacetime manifolds using star products then matter fields are encoded in deformation quantizations of vector bundles over the classical spacetime for gauge theories we establish a notion of deformation quantization of a principal fiber bundle and show how the deformation of associated vector bundles can be obtained | [['in', 'this', 'review', 'we', 'discuss', 'the', 'global', 'geometry', 'of', 'noncommutative', 'field', 'theories', 'from', 'a', 'deformation', 'point', 'of', 'view', 'the', 'spacetimes', 'under', 'consideration', 'are', 'deformations', 'of', 'classical', 'spacetime', 'manifolds', 'using', 'star', 'products', 'then', 'matter', 'fields', 'are', 'encoded', 'in', 'deformation', 'quantizations', 'of', 'vector', 'bundles', 'over', 'the', 'classical', 'spacetime', 'for', 'gauge', 'theories', 'we', 'establish', 'a', 'notion', 'of', 'deformation', 'quantization', 'of', 'a', 'principal', 'fiber', 'bundle', 'and', 'show', 'how', 'the', 'deformation', 'of', 'associated', 'vector', 'bundles', 'can', 'be', 'obtained']] | [-0.21056239813413113, 0.12696886648685504, -0.12069393742880592, 0.0645611405879744, -0.08055102608281456, -0.1053706376736805, -0.07655189803814234, 0.36556167742365026, -0.2972869645446947, -0.17331951536391288, 0.10902392712408958, -0.18158403303982906, -0.22199571576632865, 0.1491991909195299, -0.14949862054255728, -0.017572788604573435, 0.030793163434232343, 0.10583125377609713, -0.16594708585882023, -0.24019883688035332, 0.4590877620120571, 0.013932853675613257, 0.2858715023883708, -0.02957932150058372, 0.13391748920389235, 0.04747392315009277, -0.03075054484381251, 0.05017140024813683, -0.15270001759548504, 0.1417242240364829, 0.2350411494294411, 0.09291421934605053, 0.1594728305170389, -0.4172623225564316, -0.2586537951999025, 0.1032834909983898, 0.10636236958767045, 0.10475829077808008, 0.006082761254518816, -0.3022977997587152, 0.07400157644528232, -0.1574788962120879, -0.14561305202269442, -0.13228067196905613, -0.014117738128359085, -0.00026774801926253596, -0.1875505549131497, 0.010504820620105283, 0.05644917894594933, 0.11235482758548979, -0.15890071182575535, -0.032447094831309496, -0.055098008150745136, 0.02218777995735203, 0.10918871252733754, 0.0318141215072613, 0.20971400146563984, -0.15808199931969483, -0.1469894647151742, 0.3965087012477117, -0.04721888325700205, -0.276792552347665, 0.07364336028695107, -0.14517163181651946, -0.14889662528461586, 0.11293976840703454, 0.15773644350941152, 0.1671618097780706, -0.046834979244597154, 0.1862466131673475, -0.030214505767679378, 0.05720544346386554, 0.09587418737068568, 0.032585028354844, 0.26513588258817994, 0.08936397621586714, 0.034769489423512184, 0.12789531606281407, -0.053696576405431413, -0.15579446533627886, -0.45363668199271373, -0.2221867717445305, -0.06350842083817067, 0.17809737254929256, -0.14356919470516652, -0.14400562982725568, 0.37876058461731427, 0.06048942426034594, 0.20751513341722422, 0.05251955856530838, 0.1797373732169197, 0.042566673281564285, 0.06550085917115211, -0.00814242075414282, 0.2690009095591225, 0.27951342671988405, 0.03229047609206085, -0.10824277879963692, -0.13408642317717, 0.15056125679346796] |
710.2141 | Intersecting Brane Models and Cosmology | We discuss the application of general features of intersecting brane model
constructions in cosmology. In particular, we describe a scenario for D-term
inflation which arises straightforwardly in IBM constructions wherein open
non-vectorlike strings play the role of the inflaton. We also show that
baryogenesis driven by hidden sector mixed anomalies can naturally arise in
intersecting brane models.
| hep-th | we discuss the application of general features of intersecting brane model constructions in cosmology in particular we describe a scenario for dterm inflation which arises straightforwardly in ibm constructions wherein open nonvectorlike strings play the role of the inflaton we also show that baryogenesis driven by hidden sector mixed anomalies can naturally arise in intersecting brane models | [['we', 'discuss', 'the', 'application', 'of', 'general', 'features', 'of', 'intersecting', 'brane', 'model', 'constructions', 'in', 'cosmology', 'in', 'particular', 'we', 'describe', 'a', 'scenario', 'for', 'dterm', 'inflation', 'which', 'arises', 'straightforwardly', 'in', 'ibm', 'constructions', 'wherein', 'open', 'nonvectorlike', 'strings', 'play', 'the', 'role', 'of', 'the', 'inflaton', 'we', 'also', 'show', 'that', 'baryogenesis', 'driven', 'by', 'hidden', 'sector', 'mixed', 'anomalies', 'can', 'naturally', 'arise', 'in', 'intersecting', 'brane', 'models']] | [-0.1760287497748147, 0.20113884747485844, -0.06871086490552938, 0.17436560073442625, -0.07782709428615738, -0.21656294104136659, -0.037198619631102735, 0.28513859410508813, -0.2547004051637231, -0.2750138931237815, 0.09461479066675038, -0.21530100956493825, -0.1967786845113886, 0.12625934591663904, -0.11142080698750521, -0.055143034641157114, 0.0128713460933221, -0.037817558919063264, 0.02149749341780287, -0.2739805685879107, 0.3574019230477381, -0.0014269797686944927, 0.2322790252142831, 0.042701649234483115, 0.05168085609023508, -0.06907435348910983, 0.02195378602890853, -0.024933019873539086, -0.1356778947618359, 0.10374679342892609, 0.2379247129907175, 0.13480645603001967, 0.09028822214653094, -0.45688118527463656, -0.2845984150312449, 0.19853999575175213, 0.20571049818311604, 0.19527481789414755, -0.08752951324966393, -0.24776407806692938, 0.028092877775953526, -0.17643480463639685, -0.1558102622807941, -0.05751363732116787, -0.04664237388785471, -0.1022097246492641, -0.27379885444973123, 0.05448257599154634, 0.028668000362813473, -0.019715890517098864, -0.03906342766264029, -0.06567495636919742, -0.03933206210403066, 0.0004515693555667735, 0.12990941995910057, 0.005476419348269701, 0.14959460830217913, -0.17321565711315265, -0.16976783605978676, 0.384225694364623, -0.14497337182330197, -0.1658198289050345, 0.08342515968047735, -0.04881634501936404, -0.2662948313937114, -0.007451821935542843, 0.16185296835835306, 0.09264475185211682, -0.10763059647982581, 0.26160684281862095, -0.04754988256057626, 0.08402456496556274, 0.1112278004609898, 0.05693629938443273, 0.3485560478650752, 0.15102931611615708, -0.03016547931423574, 0.19137195595785192, 0.02804976989302719, -0.21751364126082576, -0.45936008189853866, -0.07667376368976477, -0.06544379706559866, 0.039525026766473036, -0.12420043149113394, -0.16995653872819325, 0.3881715335801505, 0.1801397153503147, 0.20587403650738692, -0.0572070165500535, 0.1934533018716856, 0.029444058311351558, 0.07000368101555005, 0.046044703123666215, 0.2463392487383987, 0.06776637760840618, 0.06470505159609673, -0.19683668158923914, -0.08774638501927257, 0.09848340100755817] |
710.2142 | Quarks in the universe | Matter in its present form was formed when our
Universe emerged from the quark-gluon phase (QGP) at about 30mus into its
evolution. To explore this early period in the laboratory, we study highly
excited matter formed in relativistic heavy ion collision experiments: heavy
nuclei crash into each other, and form compressed and energetically excited
nuclear matter, resembling in its key features the stuff which filled the early
Universe. In these experiments we further explore the physics of the vacuum
structure of strongly interacting gauge theory, Quantum Chromodynamics (QCD).
The common beginning for both, heavy ion collisions, and vacuum structure
investigations, is the physics of the quantum electrodynamic (QED) vacuum in
the presence of the supercritical external field that is formed when two highly
charged heavy ions are brought together near to the Coulomb barrier in a
considerably lower reaction energy collision.
| nucl-th | matter in its present form was formed when our universe emerged from the quarkgluon phase qgp at about 30mus into its evolution to explore this early period in the laboratory we study highly excited matter formed in relativistic heavy ion collision experiments heavy nuclei crash into each other and form compressed and energetically excited nuclear matter resembling in its key features the stuff which filled the early universe in these experiments we further explore the physics of the vacuum structure of strongly interacting gauge theory quantum chromodynamics qcd the common beginning for both heavy ion collisions and vacuum structure investigations is the physics of the quantum electrodynamic qed vacuum in the presence of the supercritical external field that is formed when two highly charged heavy ions are brought together near to the coulomb barrier in a considerably lower reaction energy collision | [['matter', 'in', 'its', 'present', 'form', 'was', 'formed', 'when', 'our', 'universe', 'emerged', 'from', 'the', 'quarkgluon', 'phase', 'qgp', 'at', 'about', '30mus', 'into', 'its', 'evolution', 'to', 'explore', 'this', 'early', 'period', 'in', 'the', 'laboratory', 'we', 'study', 'highly', 'excited', 'matter', 'formed', 'in', 'relativistic', 'heavy', 'ion', 'collision', 'experiments', 'heavy', 'nuclei', 'crash', 'into', 'each', 'other', 'and', 'form', 'compressed', 'and', 'energetically', 'excited', 'nuclear', 'matter', 'resembling', 'in', 'its', 'key', 'features', 'the', 'stuff', 'which', 'filled', 'the', 'early', 'universe', 'in', 'these', 'experiments', 'we', 'further', 'explore', 'the', 'physics', 'of', 'the', 'vacuum', 'structure', 'of', 'strongly', 'interacting', 'gauge', 'theory', 'quantum', 'chromodynamics', 'qcd', 'the', 'common', 'beginning', 'for', 'both', 'heavy', 'ion', 'collisions', 'and', 'vacuum', 'structure', 'investigations', 'is', 'the', 'physics', 'of', 'the', 'quantum', 'electrodynamic', 'qed', 'vacuum', 'in', 'the', 'presence', 'of', 'the', 'supercritical', 'external', 'field', 'that', 'is', 'formed', 'when', 'two', 'highly', 'charged', 'heavy', 'ions', 'are', 'brought', 'together', 'near', 'to', 'the', 'coulomb', 'barrier', 'in', 'a', 'considerably', 'lower', 'reaction', 'energy', 'collision']] | [-0.09390548369781186, 0.2830463571090859, -0.11195986268316158, 0.09397226386185048, -0.0037262273410744702, -0.12123424925095012, -0.03883968592135909, 0.32102362409643564, -0.22552026372323644, -0.2745402506073765, 0.002738174431666679, -0.2984161937596105, -0.010843479064630067, 0.11122516698884309, 0.08380737977518522, 0.016580080169712106, 0.05676879797540341, 0.04636473934984446, -0.036731855302173086, -0.2222914454091261, 0.31606456082882295, 0.10387695413115863, 0.2355263744669154, 0.10231402781230549, 0.02438383239341226, -0.021698814022506698, 0.016262712738772275, -0.020961652734442383, -0.09168604256095841, 0.0839083056541332, 0.23085773690332864, 0.05060308521732371, 0.23019072395280427, -0.5035609258669065, -0.20839811206616937, 0.07251214446394262, 0.14623571787993853, 0.16622507727311936, -0.15389958175447446, -0.310554758269102, 0.035693220862729066, -0.18460429814835708, -0.16440909072931803, -0.03327444558038462, -0.022184197908161698, -0.052360105415779755, -0.2239195555159558, 0.06518312492440884, -0.012925073058602023, -0.02233904999092961, -0.08192300877669258, -0.11834122480639646, -0.02666541242952201, 0.02817773388852266, 0.06271675494598582, 0.034395910501653484, 0.20942958393827715, -0.21919249480628203, -0.08016012199817503, 0.4388789918987041, -0.053867235132460056, -0.06417080855776444, 0.2164122832688034, -0.21432822687775954, -0.1374175633627472, 0.15714493075861258, 0.19757812761153418, 0.09856350657510314, -0.14008253706302923, 0.08371576566475358, 0.0023314643598406027, 0.12340421039977066, 0.09440436249876276, 0.07675480452062337, 0.29523375668688445, 0.18685877995428476, -0.07126812293220655, 0.1159979014974071, -0.03720057851152746, -0.1678016135462474, -0.324822895717642, -0.14193654664567545, -0.13436665473149179, 0.03897874619223917, -0.05742106589305806, -0.1533293799226377, 0.3653823208513402, 0.11113723160051708, 0.1713197375466083, -0.13383543274467746, 0.2746945349697737, 0.059776583115953345, 0.009227343600145078, 0.09345839987013568, 0.3157145251682629, 0.15531348613427676, 0.14743723164821135, -0.292490717140852, 0.0325405139324143, 0.059390537665351066] |
710.2143 | Right coideal subalgebras in $U_q(\frak{sl}_{n+1}).$ | We offer a complete classification of right coideal subalgebras which contain
all group-like elements for the multiparameter version of the quantum group
$U_q(\mathfrak{sl}_{n+1})$ provided that the main parameter $q$ is not a root
of 1. As a consequence, we determine that for each subgroup $\Sigma $ of the
group $G$ of all group-like elements the quantum Borel subalgebra $U_q^+
(\mathfrak{sl}_{n+1})$ containes $(n+1)!$ different homogeneous right coideal
subalgebras $U$ such that $U\cap G=\Sigma .$ If $q$ has a finite multiplicative
order $t>2,$ the classification remains valid for homogeneous right coideal
subalgebras of the multiparameter version of the Lusztig quantum group $u_q
(\frak{sl}_{n+1}).$ In the paper we consider the quantifications of Kac-Moody
algebras as character Hopf algebras [V.K. Kharchenko, A combinatorial approach
to the quantifications of Lie algebras, Pacific J. Math., 203(1)(2002), 191-
233].
| math.QA math.RA | we offer a complete classification of right coideal subalgebras which contain all grouplike elements for the multiparameter version of the quantum group u_qmathfraksl_n1 provided that the main parameter q is not a root of 1 as a consequence we determine that for each subgroup sigma of the group g of all grouplike elements the quantum borel subalgebra u_q mathfraksl_n1 containes n1 different homogeneous right coideal subalgebras u such that ucap gsigma if q has a finite multiplicative order t2 the classification remains valid for homogeneous right coideal subalgebras of the multiparameter version of the lusztig quantum group u_q fraksl_n1 in the paper we consider the quantifications of kacmoody algebras as character hopf algebras vk kharchenko a combinatorial approach to the quantifications of lie algebras pacific j math 20312002 191 233 | [['we', 'offer', 'a', 'complete', 'classification', 'of', 'right', 'coideal', 'subalgebras', 'which', 'contain', 'all', 'grouplike', 'elements', 'for', 'the', 'multiparameter', 'version', 'of', 'the', 'quantum', 'group', 'u_qmathfraksl_n1', 'provided', 'that', 'the', 'main', 'parameter', 'q', 'is', 'not', 'a', 'root', 'of', '1', 'as', 'a', 'consequence', 'we', 'determine', 'that', 'for', 'each', 'subgroup', 'sigma', 'of', 'the', 'group', 'g', 'of', 'all', 'grouplike', 'elements', 'the', 'quantum', 'borel', 'subalgebra', 'u_q', 'mathfraksl_n1', 'containes', 'n1', 'different', 'homogeneous', 'right', 'coideal', 'subalgebras', 'u', 'such', 'that', 'ucap', 'gsigma', 'if', 'q', 'has', 'a', 'finite', 'multiplicative', 'order', 't2', 'the', 'classification', 'remains', 'valid', 'for', 'homogeneous', 'right', 'coideal', 'subalgebras', 'of', 'the', 'multiparameter', 'version', 'of', 'the', 'lusztig', 'quantum', 'group', 'u_q', 'fraksl_n1', 'in', 'the', 'paper', 'we', 'consider', 'the', 'quantifications', 'of', 'kacmoody', 'algebras', 'as', 'character', 'hopf', 'algebras', 'vk', 'kharchenko', 'a', 'combinatorial', 'approach', 'to', 'the', 'quantifications', 'of', 'lie', 'algebras', 'pacific', 'j', 'math', '20312002', '191', '233']] | [-0.17311381783656543, 0.08834577784728026, -0.03497135831639753, 0.015448766655936197, -0.1352771741730976, -0.17312106661483995, 0.0026309734194001066, 0.3370400509738829, -0.35705133847659454, -0.12444270317791961, 0.1270117299809499, -0.265505672301515, -0.08839332779825781, 0.1776749400087283, -0.15482277301271097, -0.05483465758516104, 0.04433819710720854, 0.15099244067823747, -0.09964365618992588, -0.27139021530638274, 0.3483872829237953, -0.07576004726161045, 0.22226082378551837, -0.026460888992005493, 0.12169703684685373, 0.018617257625010097, 0.017834054018749157, -0.03185694251260429, -0.18758190790589424, 0.05325446017013746, 0.33778305775194895, 0.037395608826045645, 0.25240586619474925, -0.2664128444812377, -0.05048969961626426, 0.2126789496433048, 0.18398418972356012, 0.006820595125645923, -0.005260416975943372, -0.29356113942412776, 0.11771960604028209, -0.27898162267229054, -0.13814159577304963, -0.05265963340207236, 0.13620435967459343, -0.06415183946955949, -0.2579495609861624, 0.087412213695643, 0.11423476987783943, 0.15997705702466192, -0.05169920999833266, -0.16413510586789926, -0.07843159549520351, 0.12124991392010998, -0.14003448042331001, 0.019528178851032862, 0.10724536755151348, -0.09664106673881179, -0.18896627445792546, 0.4284136109345127, -0.001018690648379561, -0.20774834207259119, 0.06586167419754929, -0.2220828748831991, -0.17970710192457773, 0.04108548499789322, 0.00972210371401161, 0.10079879673139658, -0.038908956270461204, 0.23816690215244307, -0.17266744015796576, 0.016284397370327497, 0.08228962974317255, 0.012352799898508238, 0.10007688551559113, 0.06553556994003884, 0.04823791109629383, 0.07363411290134536, 0.06415431124696624, 0.027559752867091447, -0.3923220798751572, -0.20074215850036126, -0.08571567199214769, 0.15537660344534743, -0.11575528044704697, -0.217670134625223, 0.4199556196326739, 0.11246372833193163, 0.12437299657904077, 0.08371415321107634, 0.14404416549814414, 0.0542096475019207, 0.10277922138720896, 0.0709705810726291, 0.07354800474422518, 0.31220562566886656, -0.07119992247362461, -0.1756280965237238, -0.07969321772907279, 0.2469345109348069] |
710.2144 | Convexity properties of solutions to the free Schr\"odinger equation
with Gaussian decay | We study convexity properties of solutions to the free Schrodinger equation
with Gaussian decay.
| math.AP math-ph math.MP | we study convexity properties of solutions to the free schrodinger equation with gaussian decay | [['we', 'study', 'convexity', 'properties', 'of', 'solutions', 'to', 'the', 'free', 'schrodinger', 'equation', 'with', 'gaussian', 'decay']] | [-0.08177132425563675, 0.061831396272672076, -0.14496904787873582, 0.08046799851581454, -0.14379427562068617, -0.15611308493784495, -0.06464008374937943, 0.3529075056846653, -0.33423373848199844, -0.1674661485677851, 0.07775016373489052, -0.3911445574568851, -0.09160584104912621, 0.11517775351447719, 0.04915618111512491, 0.19700700350637948, 0.08081990041370903, 0.00442522657769067, -0.14712222861791296, -0.19662062025495938, 0.3834484964609146, -0.0389654202652829, 0.21543522658092634, 0.019645245213593756, 0.038009348059339185, 0.022072458007772053, 0.0800813181059701, -0.08883607360933508, -0.3490293592746769, 0.12096440283182476, 0.08308251571309354, 0.09951375903827804, 0.30443136553679195, -0.4067159135426794, -0.2576585789876325, 0.187278192024678, 0.13431402349046298, 0.07402667868882418, -0.06383324793672987, -0.34758192726543974, 0.07601584281240191, -0.061071338398115974, -0.29211475753358435, -0.08639213609110032, -0.04359209271413939, 0.1702788861834311, -0.25944629378084627, 0.17034023168629833, 0.0327465861503567, -0.024343933976654495, -0.25398654364315526, -0.030871793228600706, 0.032883347145148685, -0.021478218492120504, 0.1605711444946272, -0.09949612296519003, 0.061491514988509674, -0.18113636611295597, -0.08678105872656618, 0.3406227539692606, -0.15645804003413236, -0.35318372691316263, 0.12326921256525177, -0.19646555398191726, -0.09205563106973257, 0.11407506569022578, 0.1664816496028964, 0.13063939847052097, -0.21819202548691205, 0.17682150804570743, 0.0017182393265622003, 0.16116959508508444, 0.09299810862700854, 0.10698827455884644, -0.004003589706761497, 0.09396664665213653, 0.09691884867580873, 0.2021436970680952, 0.03639869551573481, -0.19149174714194878, -0.3853689708880016, -0.16140382211389287, -0.13067773383642947, 0.212262007274798, -0.0664633803867868, -0.2690532053155558, 0.41313344719154493, 0.08971296543521541, 0.10552918325577464, 0.08725408551150135, 0.21145907576595033, 0.2623903550473707, -0.029913958960345814, 0.09544099907257728, 0.1551029815205506, 0.3035177818299936, 0.07479594767625843, -0.27137232458751115, -0.05117264493102474, 0.14092234438950463] |
710.2145 | Are the compact star clusters in M82 evolving towards globular clusters? | Recent HST/ACS images of M82 covering the entire galaxy have been used to
detect star clusters. The galaxy is known to contain a young population (age <
10 Myr) in its starburst nucleus, surrounded by a post-starburst disk of age <
1 Gyr. We detect more than 650 star clusters in this galaxy, nearly 400 of them
in the post-starburst disk. These data have been used to derive the luminosity,
mass and size functions separately for the young nuclear, and intermediate-age
disk clusters. In this contribution, we discuss the evolutionary status of
these clusters, especially, on the chances of some of these clusters surviving
to become old globular clusters.
| astro-ph | recent hstacs images of m82 covering the entire galaxy have been used to detect star clusters the galaxy is known to contain a young population age 10 myr in its starburst nucleus surrounded by a poststarburst disk of age 1 gyr we detect more than 650 star clusters in this galaxy nearly 400 of them in the poststarburst disk these data have been used to derive the luminosity mass and size functions separately for the young nuclear and intermediateage disk clusters in this contribution we discuss the evolutionary status of these clusters especially on the chances of some of these clusters surviving to become old globular clusters | [['recent', 'hstacs', 'images', 'of', 'm82', 'covering', 'the', 'entire', 'galaxy', 'have', 'been', 'used', 'to', 'detect', 'star', 'clusters', 'the', 'galaxy', 'is', 'known', 'to', 'contain', 'a', 'young', 'population', 'age', '10', 'myr', 'in', 'its', 'starburst', 'nucleus', 'surrounded', 'by', 'a', 'poststarburst', 'disk', 'of', 'age', '1', 'gyr', 'we', 'detect', 'more', 'than', '650', 'star', 'clusters', 'in', 'this', 'galaxy', 'nearly', '400', 'of', 'them', 'in', 'the', 'poststarburst', 'disk', 'these', 'data', 'have', 'been', 'used', 'to', 'derive', 'the', 'luminosity', 'mass', 'and', 'size', 'functions', 'separately', 'for', 'the', 'young', 'nuclear', 'and', 'intermediateage', 'disk', 'clusters', 'in', 'this', 'contribution', 'we', 'discuss', 'the', 'evolutionary', 'status', 'of', 'these', 'clusters', 'especially', 'on', 'the', 'chances', 'of', 'some', 'of', 'these', 'clusters', 'surviving', 'to', 'become', 'old', 'globular', 'clusters']] | [-0.005711668218316284, 0.08664567228928904, -0.10405980297538374, 0.16457497888510159, -0.09107120750498061, -0.0009414931741830345, 0.0471581863674605, 0.4910522638776592, -0.14825744834450014, -0.38172751142008005, 0.05509013958083831, -0.2834200790145426, 0.025209419699124644, 0.16951279425950042, -0.049912570784234, -0.06770730523499181, 0.08689805303883051, -0.045644945630403326, 0.008229466929822881, -0.3879569570890793, 0.3014059560525745, 0.027455381341887828, 0.0488219840613098, -0.07872497817281379, 0.012654404780418377, -0.12431015067725121, -0.08860260779560308, -0.061512705460887086, -0.18259739223867655, 0.056427253583211136, 0.28052278054512547, 0.18947728005211764, 0.2676584126670392, -0.36438238636425163, -0.1829814965810592, 0.09223224973919689, 0.28662440120938854, 0.028110609285394165, -0.1322608557743266, -0.2770901157925445, 0.09880509588728163, -0.23655852739847152, -0.2054719546003045, 0.12361322444315269, 0.07295039038622107, 0.01201977622564708, -0.149913879659758, 0.19308970021693228, -0.0043069281850323495, 0.10414082523017565, -0.13229489749815385, -0.15784983751233492, 0.0006965639844327886, 0.13556445524026858, -0.012966054702769512, 0.09682054845093985, 0.22245014106384783, -0.1604561727389554, -0.008236873834002241, 0.35785367481723845, 0.011860713627484244, 0.05325360824223434, 0.29436956645450857, -0.23056830512359738, -0.2166834521710124, 0.08218942715777694, 0.1760346310770261, 0.11169244102681074, -0.21463602937966864, -0.0021386555772466218, -0.026698692797500395, 0.23301239846117586, 0.07099030915404035, 0.05960627680328331, 0.3297328591938609, 0.13306914591970287, 0.03407781271298773, 0.1228695772240095, -0.23700688140946616, -0.05418679738748018, -0.13145685636777885, -0.06975559044899157, -0.09922494478175574, 0.10800705474984144, -0.15410289289750742, -0.1318281587021791, 0.3431058084922973, 0.07046886014308189, 0.22638501660576282, 0.03721860908494096, 0.2364395761897213, 0.005448887907469071, 0.2125904681161046, 0.1449408560651833, 0.27490789514327657, 0.21170031592885258, 0.03856513066060632, -0.2403815493970091, 0.08159550936656262, -0.03874929702544811] |
710.2146 | Electron-phonon interaction alone does not explain the photoemission
kink in cuprate superconductors | Despite over two decades of intense research efforts, the origin of
high-temperature superconductivity in the copper oxides remains elusive.
Angle-resolved photoemission experiments (ARPES) revealed a kink in the
dispersion relations (energy vs. wavevector) of electronic states in the
cuprates at binding energies of 50-80 meV, and raised the hope that this
anomaly could be key to understanding high-temperature superconductivity. The
kink is often interpreted in terms of interactions between the electrons and a
bosonic field. While there is no consensus on the nature of the bosons or even
whether a boson model is appropriate, phonons and spin fluctuations have
alternatively been proposed as possible candidates. Here we report
state-of-the-art first-principles calculations of the role of phonons and the
electron-phonon interaction in the photoemission spectra of La2-xSrxCuO4
(LSCO). Our study demonstrates that the phonon-induced renormalization of the
electron energies and the Fermi velocity is almost one order of magnitude
smaller than the effect observed in photoemission experiments. Hence, the
present finding rules out electron-phonon interaction in bulk LSCO as the
possible origin of the measured kink. This result should bear on several
proposed theories of high temperature superconductivity in addition to theories
concerning the origin of kinks in cuprate photoemission data.
| cond-mat.supr-con | despite over two decades of intense research efforts the origin of hightemperature superconductivity in the copper oxides remains elusive angleresolved photoemission experiments arpes revealed a kink in the dispersion relations energy vs wavevector of electronic states in the cuprates at binding energies of 5080 mev and raised the hope that this anomaly could be key to understanding hightemperature superconductivity the kink is often interpreted in terms of interactions between the electrons and a bosonic field while there is no consensus on the nature of the bosons or even whether a boson model is appropriate phonons and spin fluctuations have alternatively been proposed as possible candidates here we report stateoftheart firstprinciples calculations of the role of phonons and the electronphonon interaction in the photoemission spectra of la2xsrxcuo4 lsco our study demonstrates that the phononinduced renormalization of the electron energies and the fermi velocity is almost one order of magnitude smaller than the effect observed in photoemission experiments hence the present finding rules out electronphonon interaction in bulk lsco as the possible origin of the measured kink this result should bear on several proposed theories of high temperature superconductivity in addition to theories concerning the origin of kinks in cuprate photoemission data | [['despite', 'over', 'two', 'decades', 'of', 'intense', 'research', 'efforts', 'the', 'origin', 'of', 'hightemperature', 'superconductivity', 'in', 'the', 'copper', 'oxides', 'remains', 'elusive', 'angleresolved', 'photoemission', 'experiments', 'arpes', 'revealed', 'a', 'kink', 'in', 'the', 'dispersion', 'relations', 'energy', 'vs', 'wavevector', 'of', 'electronic', 'states', 'in', 'the', 'cuprates', 'at', 'binding', 'energies', 'of', '5080', 'mev', 'and', 'raised', 'the', 'hope', 'that', 'this', 'anomaly', 'could', 'be', 'key', 'to', 'understanding', 'hightemperature', 'superconductivity', 'the', 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'electronphonon', 'interaction', 'in', 'bulk', 'lsco', 'as', 'the', 'possible', 'origin', 'of', 'the', 'measured', 'kink', 'this', 'result', 'should', 'bear', 'on', 'several', 'proposed', 'theories', 'of', 'high', 'temperature', 'superconductivity', 'in', 'addition', 'to', 'theories', 'concerning', 'the', 'origin', 'of', 'kinks', 'in', 'cuprate', 'photoemission', 'data']] | [-0.16191130263730882, 0.20218321235617623, -0.06930288246949204, 0.0899915210402105, -0.05514910881596734, -0.1045638507953845, 0.10590296788956038, 0.39211132273077964, -0.22831537153106182, -0.29631531378254294, -0.02699977874115575, -0.37433696023887025, -0.10597622572735417, 0.18441512917517686, 0.06182179978815839, 0.03940318074543029, -0.0076584267994621764, -0.033485237210989, -0.11969795207609422, -0.2413735397811979, 0.3006923671730328, 0.08608259753906168, 0.3060476967622526, 0.16134995231986976, 0.03247587189769547, -0.022084227899322285, 0.07013189228717237, -0.009656384494155646, -0.13878616188922024, 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710.2147 | Superspecies and their representations | Superspecies are introduced to provide the nice constructions of all
finite-dimensional superalgebras. All acyclic superspecies, or equivalently all
finite-dimensional (gr-basic) gr-hereditary superalgebras, are classified
according to their graded representation types. To this end, graded
equivalence, graded representation type and graded species are introduced for
finite group graded algebras.
| math.RA math.RT | superspecies are introduced to provide the nice constructions of all finitedimensional superalgebras all acyclic superspecies or equivalently all finitedimensional grbasic grhereditary superalgebras are classified according to their graded representation types to this end graded equivalence graded representation type and graded species are introduced for finite group graded algebras | [['superspecies', 'are', 'introduced', 'to', 'provide', 'the', 'nice', 'constructions', 'of', 'all', 'finitedimensional', 'superalgebras', 'all', 'acyclic', 'superspecies', 'or', 'equivalently', 'all', 'finitedimensional', 'grbasic', 'grhereditary', 'superalgebras', 'are', 'classified', 'according', 'to', 'their', 'graded', 'representation', 'types', 'to', 'this', 'end', 'graded', 'equivalence', 'graded', 'representation', 'type', 'and', 'graded', 'species', 'are', 'introduced', 'for', 'finite', 'group', 'graded', 'algebras']] | [-0.13125960332002828, 0.10075343848968094, 0.016761249481615694, 0.07212334469923834, -0.24904088283338668, -0.2514350095086477, -0.1242609611151486, 0.4166699380359866, -0.4489019397561523, -0.2045674237676642, 0.10676441282372583, -0.1854173390364105, -0.14003095566824247, 0.1117681662118147, -0.21192743934013628, -0.11077582436105744, 0.02747949887998402, 0.1447422629260638, -0.11277112485417588, -0.37101676365868613, 0.4286614501510154, -0.05920769606018439, 0.24455603163435377, -0.08481076564269395, 0.1576417324514213, 0.03779695157639005, -0.07377040740737523, 0.034001035905351855, -0.1665787730175494, 0.12401744300520724, 0.4435700650580905, 0.0214044522409412, 0.15333104826806282, -0.3617141854695298, -0.05513808319863694, 0.24982950563373213, 0.21035171991256488, 0.013684541050514037, 0.031701956589875575, -0.3028588445687836, 0.16232199262065644, -0.28248667750846257, -0.10714914740740576, -0.09760775670028207, 0.08693270514645106, 0.035134323025968944, -0.2166275593917817, -0.02130076989785514, 0.07781663003631613, 0.1751253177538853, -0.17630404776851225, -0.14913647008043798, -0.14341972984204238, 0.0914343028085899, -0.16191886272281408, -0.12864319337743588, 0.10874392824586142, -0.024318388689690353, -0.2567615690641105, 0.3261206755626269, 0.08612087701277976, -0.2890369156058031, 0.17408109096471558, -0.14709800747434862, -0.17990662645421585, 0.10812826063060625, -0.01518231892788952, 0.09843536280095577, -0.0897101906593889, 0.16898179198059635, -0.12395364619706842, -0.1208631349304183, 0.09605911432299763, 0.08211814832280982, 0.1434969427804886, 0.09117552775635639, -0.044160249177366495, 0.07549220382828604, 0.19063616478392345, 0.0033371118955652823, -0.3449212758039886, -0.20065106550993567, 0.017099183510502124, 0.132247286002067, -0.1401694621040819, -0.19313046560538086, 0.4158004878766157, 0.11044511837297416, 0.17028317219493064, 0.21709774434566498, 0.15079419354019177, 0.06119250372285023, 0.16993453607111322, 0.029280260014771062, 0.05616051305762746, 0.37073775397782976, -0.08441022140058604, -0.010869741905480623, -0.04805385922505097, 0.31348471813411877] |
710.2148 | Deep inelastic scattering at strong coupling from gauge/string duality :
the saturation line | For gauge theories which admit a dual string description, we analyze deep
inelastic scattering at strong 't Hooft coupling and high energy, in the
vicinity of the unitarity limit. We discuss the onset of unitarity corrections
and determine the saturation line which separates weak scattering from strong
scattering in the parameter space of rapidity and photon virtuality. We
discover that the approach towards unitarity proceeds through two different
mechanisms, depending upon the photon virtuality Q^2 : single Pomeron exchange
at relatively low Q^2 and, respectively, multiple graviton exchanges at higher
Q^2. This implies that the total cross-section at high energy and large Q^2 is
dominated by diffractive processes. This is furthermore suggestive of a
partonic description where all the partons have transverse momenta below the
saturation momentum and occupation numbers of order one.
| hep-th hep-ph | for gauge theories which admit a dual string description we analyze deep inelastic scattering at strong t hooft coupling and high energy in the vicinity of the unitarity limit we discuss the onset of unitarity corrections and determine the saturation line which separates weak scattering from strong scattering in the parameter space of rapidity and photon virtuality we discover that the approach towards unitarity proceeds through two different mechanisms depending upon the photon virtuality q2 single pomeron exchange at relatively low q2 and respectively multiple graviton exchanges at higher q2 this implies that the total crosssection at high energy and large q2 is dominated by diffractive processes this is furthermore suggestive of a partonic description where all the partons have transverse momenta below the saturation momentum and occupation numbers of order one | [['for', 'gauge', 'theories', 'which', 'admit', 'a', 'dual', 'string', 'description', 'we', 'analyze', 'deep', 'inelastic', 'scattering', 'at', 'strong', 't', 'hooft', 'coupling', 'and', 'high', 'energy', 'in', 'the', 'vicinity', 'of', 'the', 'unitarity', 'limit', 'we', 'discuss', 'the', 'onset', 'of', 'unitarity', 'corrections', 'and', 'determine', 'the', 'saturation', 'line', 'which', 'separates', 'weak', 'scattering', 'from', 'strong', 'scattering', 'in', 'the', 'parameter', 'space', 'of', 'rapidity', 'and', 'photon', 'virtuality', 'we', 'discover', 'that', 'the', 'approach', 'towards', 'unitarity', 'proceeds', 'through', 'two', 'different', 'mechanisms', 'depending', 'upon', 'the', 'photon', 'virtuality', 'q2', 'single', 'pomeron', 'exchange', 'at', 'relatively', 'low', 'q2', 'and', 'respectively', 'multiple', 'graviton', 'exchanges', 'at', 'higher', 'q2', 'this', 'implies', 'that', 'the', 'total', 'crosssection', 'at', 'high', 'energy', 'and', 'large', 'q2', 'is', 'dominated', 'by', 'diffractive', 'processes', 'this', 'is', 'furthermore', 'suggestive', 'of', 'a', 'partonic', 'description', 'where', 'all', 'the', 'partons', 'have', 'transverse', 'momenta', 'below', 'the', 'saturation', 'momentum', 'and', 'occupation', 'numbers', 'of', 'order', 'one']] | [-0.14009780632896404, 0.28200075735874247, -0.09001105670309202, 0.14247997427204004, -0.03913928360932253, -0.09643682237065425, 0.06704956387649431, 0.33449703421105037, -0.2139174860238916, -0.2585499480218542, -0.038223487563134935, -0.30231738966099464, 0.0031159231121736493, 0.11519177926520845, 0.07676773908892617, 0.02517133878074784, 0.016426428933769013, 0.010542710117685298, -0.049573338354203966, -0.1662247459665223, 0.3760178754896377, 0.03828219565096361, 0.26156940592354105, 0.19381975245690256, 0.16053250812304518, 0.1306971826371878, 0.010955771671212984, -0.04806973142783108, -0.13377230933739073, 0.028785930357337224, 0.25628917960619385, -0.010474590598746683, 0.15380013984747964, -0.35817694343682943, -0.12599844047552766, 0.05278836815815532, 0.1743938654280183, 0.09719000566066384, 0.02639701748227129, -0.2004971190771991, 0.05516620347219886, -0.18853611865955772, -0.13489466311258377, -0.1072196079326342, -0.017793520127959324, -0.04709432529511325, -0.275377839302757, 0.10556854473631547, 0.004713732692779917, 0.019875867003010528, -0.007192664786778165, -0.12461051652842964, -0.07787686874948893, 0.04299517839469693, 0.11735211279962889, 0.0762314886016997, 0.12346163817864815, -0.24513981982079602, -0.09869925162726731, 0.3279175318241345, -0.014661044306580372, -0.11419100105536706, 0.16733597097988945, -0.2554007032304071, -0.15058637240012598, 0.23153274692065845, 0.18723598549452922, 0.11900395585777887, -0.11166513812812892, 0.1593433919790021, 0.011357711776244369, 0.15663025108568202, 0.15183485442574954, 0.10294891566577875, 0.20795021715545745, 0.14636816686216855, -0.014681097890857156, 0.0837673397283211, -0.12073972442709474, -0.12086829407295833, -0.4210286280673851, -0.08211287471049493, -0.12275806470918751, 0.08636014009508389, -0.1622512867265455, -0.09409661418546668, 0.2839575413840287, 0.10090674773550057, 0.29247572395781224, 0.047194656614341184, 0.31517281651384, 0.17922691134453722, 0.09624957102068672, 0.09261865327205283, 0.2923984996424141, 0.15107790467675042, 0.15030481758047687, -0.2653398731437681, -0.01614097798257276, 0.0661868184635585] |
710.2149 | On (Co-)morphisms of Lie Pseudoalgebras and Groupoids | We give a unified description of morphisms and comorphisms of Lie
pseudoalgebras, showing that the both types of morphisms can be regarded as
subalgebras of a Lie pseudoalgebra, called the $\psi$-sum. We also provide
similar descriptions for morphisms and comorphisms of Lie algebroids and
groupoids.
| math.RA math.AC | we give a unified description of morphisms and comorphisms of lie pseudoalgebras showing that the both types of morphisms can be regarded as subalgebras of a lie pseudoalgebra called the psisum we also provide similar descriptions for morphisms and comorphisms of lie algebroids and groupoids | [['we', 'give', 'a', 'unified', 'description', 'of', 'morphisms', 'and', 'comorphisms', 'of', 'lie', 'pseudoalgebras', 'showing', 'that', 'the', 'both', 'types', 'of', 'morphisms', 'can', 'be', 'regarded', 'as', 'subalgebras', 'of', 'a', 'lie', 'pseudoalgebra', 'called', 'the', 'psisum', 'we', 'also', 'provide', 'similar', 'descriptions', 'for', 'morphisms', 'and', 'comorphisms', 'of', 'lie', 'algebroids', 'and', 'groupoids']] | [-0.16497338537804104, 0.011049165411598304, -0.09535234453241256, 0.15673645976295864, -0.18013244647194038, -0.1372458424884826, -0.002510813297703862, 0.4115303282371976, -0.3626006984003735, -0.21685168506916275, 0.07997135389384559, -0.17725654124197635, -0.16314877171746708, 0.2257997782223604, -0.2089838055809113, -0.14553406775336375, 0.07333258541554889, 0.12210510522510792, -0.12961514566665178, -0.18793896700001575, 0.4288298567037352, -0.015070184218612585, 0.18976597009829924, 0.021576775894076985, 0.16793506521604618, -0.03298607193441554, -0.0021540479395877232, 0.029810653406788002, -0.13220435732910119, 0.11921420172703537, 0.3962831257588484, 0.09204219349405983, 0.12320192797448147, -0.3476165291768583, -0.07000439608765935, 0.15051046117547562, 0.1621163035107946, 0.020269780366850846, -0.04883753485575488, -0.3523321758363057, 0.08146239736710083, -0.2200697398405861, -0.054436762859536844, -0.16468789557587693, 0.03783449352803556, 0.0586876202036034, -0.18241448123643006, -0.009245043160758954, 0.1887951679951088, 0.17090789067812942, -0.1234456032556905, -0.07747886696068401, -0.09837484656071122, 0.11737937954339114, -0.12825341272929852, -0.024961718432181937, 0.12366534656294706, -0.05024991705167023, -0.2144312025471167, 0.46275936473499646, -0.010884960192594339, -0.24284737794236702, 0.18402904471043835, -0.08891950166699561, -0.20129189553501253, 0.054775404976680875, 0.056706244464625015, 0.13465822363187643, -0.08344778932885012, 0.12759842031069143, -0.13760035764425993, -0.0469997955316847, 0.08724709157831967, 0.07275763544550334, 0.17225468095222657, 0.14441769538362595, 0.00823337102139538, 0.10241560751984996, 0.08965594992464916, 0.0003018791639161381, -0.4243964437733997, -0.21545461045620454, 0.06444883170876313, 0.15822821262885223, -0.08334866375563169, -0.19720766018144786, 0.4131429466334256, 0.13099352171940898, 0.2581275781955231, 0.18568022121590647, 0.1336397487056357, 0.06771916457695294, 0.12584116894074462, 0.018767389278350907, 0.1678757296705788, 0.3071646874093197, -0.06428241905946792, -0.023196657907895067, -0.11224557304839519, 0.21527862654660235] |
710.215 | Effect of disorder on a graphene p-n junction | We propose the theory of transport in a gate-tunable graphene p-n junction,
in which the gradient of the carrier density is controlled by the gate voltage.
Depending on this gradient and on the density of charged impurities, the
junction resistance is dominated by either diffusive or ballistic contribution.
We find the conditions for observing ballistic transport and show that in
existing devices they are satisfied only marginally. We also simulate
numerically the trajectories of charge carriers and illustrate challenges in
realizing more delicate ballistic effects, such as Veselago lensing.
| cond-mat.mes-hall cond-mat.mtrl-sci | we propose the theory of transport in a gatetunable graphene pn junction in which the gradient of the carrier density is controlled by the gate voltage depending on this gradient and on the density of charged impurities the junction resistance is dominated by either diffusive or ballistic contribution we find the conditions for observing ballistic transport and show that in existing devices they are satisfied only marginally we also simulate numerically the trajectories of charge carriers and illustrate challenges in realizing more delicate ballistic effects such as veselago lensing | [['we', 'propose', 'the', 'theory', 'of', 'transport', 'in', 'a', 'gatetunable', 'graphene', 'pn', 'junction', 'in', 'which', 'the', 'gradient', 'of', 'the', 'carrier', 'density', 'is', 'controlled', 'by', 'the', 'gate', 'voltage', 'depending', 'on', 'this', 'gradient', 'and', 'on', 'the', 'density', 'of', 'charged', 'impurities', 'the', 'junction', 'resistance', 'is', 'dominated', 'by', 'either', 'diffusive', 'or', 'ballistic', 'contribution', 'we', 'find', 'the', 'conditions', 'for', 'observing', 'ballistic', 'transport', 'and', 'show', 'that', 'in', 'existing', 'devices', 'they', 'are', 'satisfied', 'only', 'marginally', 'we', 'also', 'simulate', 'numerically', 'the', 'trajectories', 'of', 'charge', 'carriers', 'and', 'illustrate', 'challenges', 'in', 'realizing', 'more', 'delicate', 'ballistic', 'effects', 'such', 'as', 'veselago', 'lensing']] | [-0.20574747098824323, 0.1622589784831311, -0.06631478964445296, 0.021303537161759194, 0.021795633031850618, -0.1836121057767128, 0.060817806022712605, 0.38039756124692686, -0.2748844509609462, -0.2724210031205014, 0.010083473062540373, -0.301644352463524, -0.16728463835407342, 0.22877433890571003, -0.041884025940776205, 0.011557050049304962, 0.006165457876357302, -0.07114821974857805, -0.06388090270848715, -0.20277490330797232, 0.2950908463249464, 0.01119158427450764, 0.29377335026923024, 0.11965562096074893, 0.06455799363804667, -0.01391788539633657, 0.037878919366663426, 0.06875135778878512, -0.13829972018696057, 0.025987971249674814, 0.20260382533659427, -0.08195893968758958, 0.19978453320963832, -0.5179153404962481, -0.22223363916148967, 0.011077095430051342, 0.17507024305569155, 0.15142453015452315, -0.11230077599832564, -0.2774245287134741, 0.0841346973909086, -0.13245907667082515, -0.09873762420948276, -0.04864924355001932, 0.0019496976858360713, 0.05139833787100369, -0.23590155752647793, 0.1404085812139916, 0.02529714193216033, -0.014706005609144321, -0.020143421078552073, -0.06671723494112618, -0.05698457778054761, 0.06659963106235563, 0.025584039053346, -0.03567726511424512, 0.24191992004726376, -0.17920788749790845, -0.09094887923742279, 0.3190072381429458, -0.06801096025561348, -0.19245087332877048, 0.1638378336308838, -0.1804142909522137, -0.03300549560278822, 0.08459503056345445, 0.13664273397076163, 0.15609724176105824, -0.1950033699748305, 0.09075447455312785, 0.01752652785364078, 0.10395247273649393, 0.07107930959547672, 0.061546078992986614, 0.24435612088425107, 0.18605397264944035, 0.13026424983432622, 0.09804744826985544, -0.14363843893757863, -0.044017059733735375, -0.27972294505308853, -0.17894962760148925, -0.2113621502256628, 0.12530325451510005, -0.06371572902481715, -0.19589052774702734, 0.4116534867606471, 0.2040513934923357, 0.176435341169074, -0.019869157467612975, 0.3211918772104081, 0.17184789520439828, 0.03712252032514034, 0.07552137592116769, 0.25375220489562644, 0.1220432684254529, 0.09823431582791793, -0.2960263708595898, 0.09696242278127858, -0.015481972582952192] |
710.2151 | Analytical investigation of magnetic field distributions around
superconducting strips on ferromagnetic substrates | The complex-field approach is developed to derive analytical expressions of
the magnetic field distributions around superconducting strips on ferromagnetic
substrates (SC/FM strips). We consider the ferromagnetic substrates as ideal
soft magnets with an infinite magnetic permeability, neglecting the
ferromagnetic hysteresis. On the basis of the critical state model for a
superconducting strip, the ac susceptibility $\chi_1'+i\chi_1''$ of a SC/FM
strip exposed to a perpendicular ac magnetic field is theoretically
investigated, and the results are compared with those for superconducting
strips on nonmagnetic substrates (SC/NM strips). The real part $\chi_1'$ for
$H_0/j_cd_s\to 0$ (where $H_0$ is the amplitude of the ac magnetic field, $j_c$
is the critical current density, and $d_s$ is the thickness of the
superconducting strip) of a SC/FM strip is 3/4 of that of a SC/NM strip. The
imaginary part $\chi_1''$ (or ac loss $Q$) for $H_0/j_cd_s<0.14$ of a SC/FM
strip is larger than that of a SC/NM strip, even when the ferromagnetic
hysteresis is neglected, and this enhancement of $\chi_1''$ (or $Q$) is due to
the edge effect of the ferromagnetic substrate.
| cond-mat.supr-con | the complexfield approach is developed to derive analytical expressions of the magnetic field distributions around superconducting strips on ferromagnetic substrates scfm strips we consider the ferromagnetic substrates as ideal soft magnets with an infinite magnetic permeability neglecting the ferromagnetic hysteresis on the basis of the critical state model for a superconducting strip the ac susceptibility chi_1ichi_1 of a scfm strip exposed to a perpendicular ac magnetic field is theoretically investigated and the results are compared with those for superconducting strips on nonmagnetic substrates scnm strips the real part chi_1 for h_0j_cd_sto 0 where h_0 is the amplitude of the ac magnetic field j_c is the critical current density and d_s is the thickness of the superconducting strip of a scfm strip is 34 of that of a scnm strip the imaginary part chi_1 or ac loss q for h_0j_cd_s014 of a scfm strip is larger than that of a scnm strip even when the ferromagnetic hysteresis is neglected and this enhancement of chi_1 or q is due to the edge effect of the ferromagnetic substrate | [['the', 'complexfield', 'approach', 'is', 'developed', 'to', 'derive', 'analytical', 'expressions', 'of', 'the', 'magnetic', 'field', 'distributions', 'around', 'superconducting', 'strips', 'on', 'ferromagnetic', 'substrates', 'scfm', 'strips', 'we', 'consider', 'the', 'ferromagnetic', 'substrates', 'as', 'ideal', 'soft', 'magnets', 'with', 'an', 'infinite', 'magnetic', 'permeability', 'neglecting', 'the', 'ferromagnetic', 'hysteresis', 'on', 'the', 'basis', 'of', 'the', 'critical', 'state', 'model', 'for', 'a', 'superconducting', 'strip', 'the', 'ac', 'susceptibility', 'chi_1ichi_1', 'of', 'a', 'scfm', 'strip', 'exposed', 'to', 'a', 'perpendicular', 'ac', 'magnetic', 'field', 'is', 'theoretically', 'investigated', 'and', 'the', 'results', 'are', 'compared', 'with', 'those', 'for', 'superconducting', 'strips', 'on', 'nonmagnetic', 'substrates', 'scnm', 'strips', 'the', 'real', 'part', 'chi_1', 'for', 'h_0j_cd_sto', '0', 'where', 'h_0', 'is', 'the', 'amplitude', 'of', 'the', 'ac', 'magnetic', 'field', 'j_c', 'is', 'the', 'critical', 'current', 'density', 'and', 'd_s', 'is', 'the', 'thickness', 'of', 'the', 'superconducting', 'strip', 'of', 'a', 'scfm', 'strip', 'is', '34', 'of', 'that', 'of', 'a', 'scnm', 'strip', 'the', 'imaginary', 'part', 'chi_1', 'or', 'ac', 'loss', 'q', 'for', 'h_0j_cd_s014', 'of', 'a', 'scfm', 'strip', 'is', 'larger', 'than', 'that', 'of', 'a', 'scnm', 'strip', 'even', 'when', 'the', 'ferromagnetic', 'hysteresis', 'is', 'neglected', 'and', 'this', 'enhancement', 'of', 'chi_1', 'or', 'q', 'is', 'due', 'to', 'the', 'edge', 'effect', 'of', 'the', 'ferromagnetic', 'substrate']] | [-0.22190780795794743, 0.1880220200830549, 0.02097025391651176, -0.009839130895027118, -0.0668528348953621, -0.14366721772801197, 0.05294583677668233, 0.3705257864462005, -0.18540818161843073, -0.24709039085615447, 0.07615282985365443, -0.321373842765539, -0.04536895037013275, 0.24267990818813617, 0.06147282026920533, 0.04240140293272789, -0.044565805092410385, 0.017827946126286746, -0.07028551558059863, -0.1877302370341876, 0.30706062553483143, -0.0633654925258754, 0.2971559320113551, 0.07486503356686461, -0.009191455335862804, 0.003801139844962728, 0.1445152016168689, 0.042392335347395546, -0.18124910795352114, 0.0009476905225705333, 0.18093366241382097, -0.14383273101711308, 0.18911446574040586, -0.43530642121692587, -0.13702005623398641, 0.0666205261164067, 0.15189910770737028, 0.06961583134810827, 0.00393538985861607, -0.24116867100711017, 0.11709867628176876, -0.10995889504641643, -0.12953867950634648, -0.012025784082950382, 0.034936289667228115, 0.003974060751279892, -0.300253378456099, 0.06655887620011616, 0.12195763141679311, 0.11070548499286262, -0.058101664722096505, -0.1674302484300968, -0.04989974980367816, 0.01918887336039235, 0.04801522263418338, 0.12361460370256712, 0.22508549036959197, -0.16091301887328818, -0.08344169644018014, 0.276925106620013, -0.030419546813034857, -0.1536233710473654, 0.10724058096455029, -0.1978643510738464, 0.019553099118979178, 0.15675464763758126, 0.11373546857343257, 0.06656493887588469, -0.12386039556700217, 0.1363319955505458, -0.016733354708446703, 0.1888769674904601, 0.05732051512683954, -0.017334333182535848, 0.2271255278164706, 0.2249536306885948, 0.04280542856768558, 0.2115967029267214, -0.16725696563824183, -0.016949976154477797, -0.27324309766466853, -0.18920016283855626, -0.21069316491375714, 0.03949058430040615, -0.07113501620290008, -0.28140733883122515, 0.37509353704783216, 0.11676364543586316, 0.1718922783675119, -0.04235025751949097, 0.294330355607801, 0.12636853145007915, 0.09165945484940159, 0.029099416423436494, 0.2659478636937793, 0.24752500718622877, 0.1425184211693704, -0.2717694767998608, 0.05268667261960388, -0.013630842198399903] |
710.2152 | Consequences of a Lambda_c/D enhancement effect on the non-photonic
electron nuclear modification factor in central heavy ion collisions at RHIC
energy | The RHIC experiments have measured the nuclear modification factor R_AA of
non-photonic electrons in Au+Au collisions at sqrt(s) = 200 GeV. This R_AA
exhibits a large suppression for pt > 2 GeV/c which is commonly attributed to
heavy-quark energy loss. It is expected that the heavy-quark radiative energy
loss is smaller than the light quark one because of the so-called dead-cone
effect. An enhancement of the charm baryon yield with respect to the charm
meson yield, as it is observed for light and strange hadrons, can explain part
of the suppression. This phenomenon has been put forward in a previous work. We
present in this paper a more complete study based on a detailed simulation
which includes electrons from charm and bottom decay, charm and bottom quark
realistic energy loss as well as a more realistic modeling of the Lambda_c/D
enhancement. We show that a Lambda_c/D ratio close to unity, as observed for
light and strange quarks, could explain 20-25% of the suppression of
non-photonic electrons in central Au+Au collisions. This effect remains
significant at relatively high non-photonic electron transverse momenta of 8-9
GeV/c.
| hep-ph | the rhic experiments have measured the nuclear modification factor r_aa of nonphotonic electrons in auau collisions at sqrts 200 gev this r_aa exhibits a large suppression for pt 2 gevc which is commonly attributed to heavyquark energy loss it is expected that the heavyquark radiative energy loss is smaller than the light quark one because of the socalled deadcone effect an enhancement of the charm baryon yield with respect to the charm meson yield as it is observed for light and strange hadrons can explain part of the suppression this phenomenon has been put forward in a previous work we present in this paper a more complete study based on a detailed simulation which includes electrons from charm and bottom decay charm and bottom quark realistic energy loss as well as a more realistic modeling of the lambda_cd enhancement we show that a lambda_cd ratio close to unity as observed for light and strange quarks could explain 2025 of the suppression of nonphotonic electrons in central auau collisions this effect remains significant at relatively high nonphotonic electron transverse momenta of 89 gevc | [['the', 'rhic', 'experiments', 'have', 'measured', 'the', 'nuclear', 'modification', 'factor', 'r_aa', 'of', 'nonphotonic', 'electrons', 'in', 'auau', 'collisions', 'at', 'sqrts', '200', 'gev', 'this', 'r_aa', 'exhibits', 'a', 'large', 'suppression', 'for', 'pt', '2', 'gevc', 'which', 'is', 'commonly', 'attributed', 'to', 'heavyquark', 'energy', 'loss', 'it', 'is', 'expected', 'that', 'the', 'heavyquark', 'radiative', 'energy', 'loss', 'is', 'smaller', 'than', 'the', 'light', 'quark', 'one', 'because', 'of', 'the', 'socalled', 'deadcone', 'effect', 'an', 'enhancement', 'of', 'the', 'charm', 'baryon', 'yield', 'with', 'respect', 'to', 'the', 'charm', 'meson', 'yield', 'as', 'it', 'is', 'observed', 'for', 'light', 'and', 'strange', 'hadrons', 'can', 'explain', 'part', 'of', 'the', 'suppression', 'this', 'phenomenon', 'has', 'been', 'put', 'forward', 'in', 'a', 'previous', 'work', 'we', 'present', 'in', 'this', 'paper', 'a', 'more', 'complete', 'study', 'based', 'on', 'a', 'detailed', 'simulation', 'which', 'includes', 'electrons', 'from', 'charm', 'and', 'bottom', 'decay', 'charm', 'and', 'bottom', 'quark', 'realistic', 'energy', 'loss', 'as', 'well', 'as', 'a', 'more', 'realistic', 'modeling', 'of', 'the', 'lambda_cd', 'enhancement', 'we', 'show', 'that', 'a', 'lambda_cd', 'ratio', 'close', 'to', 'unity', 'as', 'observed', 'for', 'light', 'and', 'strange', 'quarks', 'could', 'explain', '2025', 'of', 'the', 'suppression', 'of', 'nonphotonic', 'electrons', 'in', 'central', 'auau', 'collisions', 'this', 'effect', 'remains', 'significant', 'at', 'relatively', 'high', 'nonphotonic', 'electron', 'transverse', 'momenta', 'of', '89', 'gevc']] | [-0.038362708693667015, 0.24983241688276214, -0.15456218863223362, 0.1655982578899916, -0.009156052069226792, -0.10612091181830473, -0.002284103475516191, 0.33698014043537633, -0.18590537235294316, -0.31102942774528997, -0.09627951224268015, -0.3585386572835537, 0.07009520268344044, 0.16388562526860898, 0.012512718869762107, 0.08345377264585305, 0.12212584102667029, -0.009611996381983652, -0.05262882560862556, -0.17971156417535475, 0.29254442230148425, 0.1026896999524919, 0.22438054432283963, 0.2571566714342315, 0.040810902178246566, 0.015369589572291372, 0.006191373628738162, -0.02671782486012799, -0.06914114928076742, 0.03494694051722955, 0.22467173886380495, -0.015975625641838454, 0.17993934081156052, -0.343460268607097, -0.17888877896373262, 0.1146188952261582, 0.16851557425868052, 0.11036157538822679, -0.11840823637260825, -0.18808206364225882, 0.13679764232250277, -0.24684832719983635, -0.14809291344647715, -0.059817939809303486, 0.005469381829703247, -0.039562638026437016, -0.31271663143754946, 0.15640771867845535, 0.005121147273502384, 0.06796892138791609, 0.015037239365443423, -0.21234196327769986, -0.06982507752536049, -0.009501223063485309, 0.11172654450574256, 0.159057939811776, 0.17978759014794787, -0.15200699192528092, -0.14191287585564857, 0.449582171201665, -0.01883622697737787, -0.11930116006084603, 0.159024995614795, -0.23960903951652593, -0.0787573182689292, 0.16922955113657556, 0.2789000276697462, 0.07170874918657509, -0.1955036548078879, 0.0030630467584929788, -0.06846701436814248, 0.19611382986173279, 0.10562809703585047, 0.09868972398760309, 0.17106136049727325, 0.2425228380284702, -0.02312429324844673, 0.08501257432866484, -0.11677153731164124, -0.048843470437882036, -0.349745115746263, -0.0860804107173213, -0.09276151080848649, 0.1056630409650177, -0.07778148593318363, -0.054580066030701764, 0.396086918169653, 0.0646103052575919, 0.31131250177929687, -0.04895887916119626, 0.3438268417420869, 0.1024051175099685, 0.08095698541920673, 0.13408499682874797, 0.3160000539968138, 0.17960290016688324, 0.22812713431654968, -0.2925239484283848, 0.03917096108377267, 0.009488429052878049] |
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