id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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710.2553 | Capacity of Linear Two-hop Mesh Networks with Rate Splitting,
Decode-and-forward Relaying and Cooperation | A linear mesh network is considered in which a single user per cell
communicates to a local base station via a dedicated relay (two-hop
communication). Exploiting the possibly relevant inter-cell channel gains, rate
splitting with successive cancellation in both hops is investigated as a
promising solution to improve the rate of basic single-rate communications.
Then, an alternative solution is proposed that attempts to improve the
performance of the second hop (from the relays to base stations) by cooperative
transmission among the relay stations. The cooperative scheme leverages the
common information obtained by the relays as a by-product of the use of rate
splitting in the first hop. Numerical results bring insight into the conditions
(network topology and power constraints) under which rate splitting, with
possible relay cooperation, is beneficial. Multi-cell processing (joint
decoding at the base stations) is also considered for reference.
| cs.IT math.IT | a linear mesh network is considered in which a single user per cell communicates to a local base station via a dedicated relay twohop communication exploiting the possibly relevant intercell channel gains rate splitting with successive cancellation in both hops is investigated as a promising solution to improve the rate of basic singlerate communications then an alternative solution is proposed that attempts to improve the performance of the second hop from the relays to base stations by cooperative transmission among the relay stations the cooperative scheme leverages the common information obtained by the relays as a byproduct of the use of rate splitting in the first hop numerical results bring insight into the conditions network topology and power constraints under which rate splitting with possible relay cooperation is beneficial multicell processing joint decoding at the base stations is also considered for reference | [['a', 'linear', 'mesh', 'network', 'is', 'considered', 'in', 'which', 'a', 'single', 'user', 'per', 'cell', 'communicates', 'to', 'a', 'local', 'base', 'station', 'via', 'a', 'dedicated', 'relay', 'twohop', 'communication', 'exploiting', 'the', 'possibly', 'relevant', 'intercell', 'channel', 'gains', 'rate', 'splitting', 'with', 'successive', 'cancellation', 'in', 'both', 'hops', 'is', 'investigated', 'as', 'a', 'promising', 'solution', 'to', 'improve', 'the', 'rate', 'of', 'basic', 'singlerate', 'communications', 'then', 'an', 'alternative', 'solution', 'is', 'proposed', 'that', 'attempts', 'to', 'improve', 'the', 'performance', 'of', 'the', 'second', 'hop', 'from', 'the', 'relays', 'to', 'base', 'stations', 'by', 'cooperative', 'transmission', 'among', 'the', 'relay', 'stations', 'the', 'cooperative', 'scheme', 'leverages', 'the', 'common', 'information', 'obtained', 'by', 'the', 'relays', 'as', 'a', 'byproduct', 'of', 'the', 'use', 'of', 'rate', 'splitting', 'in', 'the', 'first', 'hop', 'numerical', 'results', 'bring', 'insight', 'into', 'the', 'conditions', 'network', 'topology', 'and', 'power', 'constraints', 'under', 'which', 'rate', 'splitting', 'with', 'possible', 'relay', 'cooperation', 'is', 'beneficial', 'multicell', 'processing', 'joint', 'decoding', 'at', 'the', 'base', 'stations', 'is', 'also', 'considered', 'for', 'reference']] | [-0.2748537105147425, -0.007391739766909511, -0.007180927573821284, -0.003036003846357065, -0.09284871596019899, -0.2677183041257233, 0.19073111985311647, 0.34707861274979274, -0.3126817383396793, -0.23319595602905036, 0.056553305927696834, -0.2352623220001885, -0.16555599941754004, 0.10601794979744919, -0.08648622252414344, 0.0016964597161859274, 0.0682605243497856, 0.0962109566259552, -0.0007571313111275487, -0.2716201850513167, 0.2728339003408852, 0.20683882156924777, 0.3805718602691318, 0.021474556975693008, 0.11156793589077392, 0.011646950788776271, -0.025985542926642204, -0.05742371937056715, -0.08068045040759181, 0.07211046718539749, 0.3461466358144912, 0.1749205016022758, 0.2780783849073128, -0.4508238706711522, -0.28589639955029733, 0.04202511654117368, 0.16718214748322335, 0.05830511227016449, -0.05491897998489177, -0.26797489128009955, 0.13843738593974372, -0.23338952632030655, -0.01932405130806523, 0.05066702523249084, -0.10955061970121215, 0.10091981823018319, -0.39082881884360815, -0.012745024274229596, -0.017640185407953153, 0.005861112490480005, -0.04116404757336516, -0.09833202081811156, 0.0020176558033891128, 0.22098965301427623, 0.051830201176926494, 0.005411363970062, 0.08104853200624552, -0.06342995961026197, -0.13872574246488512, 0.37821661994438355, -0.015141386727304001, -0.2266349595082714, 0.15180281200159249, -0.05763624489447184, -0.10096752168086003, 0.18664192934323784, 0.2341202040216033, 0.07771896668644228, -0.19429561399041453, 0.0007374611233105279, -0.00043680038119495754, 0.16589986019971548, 0.10354843471382916, 0.0962282297813045, 0.14705327020066095, 0.22742625873562106, 0.1887709021856877, 0.1312065072813478, -0.1476385124112991, -0.14141246111789704, -0.23794309038695105, -0.13282711636176675, -0.22584115845334887, 0.021824912682936435, -0.10090192129274315, 0.014836804052604966, 0.35143998925644115, 0.07841304923788132, 0.1362730436663235, 0.07353725906504108, 0.41775057328418946, 0.07595762937874075, 0.08014323010804578, 0.12036932200442632, 0.20163617787462934, 0.11357899695653494, 0.12239351176988197, -0.2273750978402718, 0.050433062331777224, 0.0315025684884487] |
710.2554 | A Chiral Schwinger model, its Constraint Structure and Applications to
its Quantization | The Jackiw-Rajaraman version of the chiral Schwinger model is studied as a
function of the renormalization parameter. The constraints are obtained and
they are used to carry out canonical quantization of the model by means of
Dirac brackets. By introducing an additional scalar field, it is shown that the
model can be made gauge invariant. The gauge invariant model is quantized by
establishing a pair of gauge fixing constraints in order that the method of
Dirac can be used.
| math-ph math.MP | the jackiwrajaraman version of the chiral schwinger model is studied as a function of the renormalization parameter the constraints are obtained and they are used to carry out canonical quantization of the model by means of dirac brackets by introducing an additional scalar field it is shown that the model can be made gauge invariant the gauge invariant model is quantized by establishing a pair of gauge fixing constraints in order that the method of dirac can be used | [['the', 'jackiwrajaraman', 'version', 'of', 'the', 'chiral', 'schwinger', 'model', 'is', 'studied', 'as', 'a', 'function', 'of', 'the', 'renormalization', 'parameter', 'the', 'constraints', 'are', 'obtained', 'and', 'they', 'are', 'used', 'to', 'carry', 'out', 'canonical', 'quantization', 'of', 'the', 'model', 'by', 'means', 'of', 'dirac', 'brackets', 'by', 'introducing', 'an', 'additional', 'scalar', 'field', 'it', 'is', 'shown', 'that', 'the', 'model', 'can', 'be', 'made', 'gauge', 'invariant', 'the', 'gauge', 'invariant', 'model', 'is', 'quantized', 'by', 'establishing', 'a', 'pair', 'of', 'gauge', 'fixing', 'constraints', 'in', 'order', 'that', 'the', 'method', 'of', 'dirac', 'can', 'be', 'used']] | [-0.16836796434430512, 0.19193684431080235, -0.13073437568994287, 0.08588830472226852, -0.0902605423470959, -0.14276373700405925, -0.0017041496884746428, 0.3433379250793503, -0.24741441326645705, -0.3242279385956816, 0.04596201982796909, -0.22502384435098904, -0.1734834724249175, 0.1315316289352874, 0.008100822400779296, 0.08616650469887716, 0.009699984358098263, 0.07424622420699169, -0.10001402822448514, -0.2805041331941119, 0.3388925098384229, 0.0724896958623177, 0.23208398594019505, 0.02187722649735709, 0.1119174575433135, 0.0067626000829757405, -0.03130238693064222, 0.048211280232629716, -0.07247381106422743, 0.08190886571239202, 0.15301550773736566, 0.04610724217043473, 0.1840141516369887, -0.375319508716273, -0.23631840878022978, 0.07306472704005547, 0.14042078035000044, 0.11710349627686903, -0.023015405290210858, -0.3400542026815506, 0.11853731185692595, -0.18223662316823044, -0.1182412702205161, -0.12894486817411888, -0.09845463324260588, -0.055364595427631565, -0.30011976631477666, 0.05090423391606563, 0.022475900668770265, 0.021681109013465736, -0.031670436585465304, -0.07382166121775906, -0.10354955502761862, 0.06981400766959175, 0.1001606342376759, 0.07389222843668018, 0.11642839279598914, -0.1547512067422175, -0.11574921115952282, 0.4520729277282953, -0.09307292165407816, -0.3035501680002572, 0.08840336822844946, -0.05395114894072788, -0.10507461035815187, 0.08321136064254321, 0.08310568385208264, 0.12256052607718186, -0.19661025928619963, 0.1736738185020677, -0.0826835114067086, 0.10447896478357367, 0.02613684856213438, -0.007909760553724108, 0.24561649538242283, 0.08916013991125883, 0.06229891693697144, 0.13017485758516556, -0.028998924723754708, -0.12220032744778273, -0.3750785607128189, -0.16753516238158903, -0.18886709451161993, 0.07668694632892044, -0.06579474809722086, -0.10646417318023921, 0.4006720472079439, 0.154397222177627, 0.20128242238066518, -0.013168923258303832, 0.2211428185304006, 0.22936718146621177, 0.13517586308985186, -0.0001231920248709428, 0.2532743382243774, 0.17287175414653924, 0.025726328556163188, -0.2094184551328325, -0.036275902607788645, 0.15297002042046723] |
710.2555 | Geometric Aspects of Biological Sequence Comparison | We propose a general framework for converting global and local similarities
between biological sequences to quasi-metrics. In contrast to previous works,
our formulation allows asymmetric distances, originating from uneven weighting
of strings, that may induce non-trivial partial orders on sets of biosequences.
Furthermore, the $\ell^p$-type distances considered are more general than
traditional generalized string edit distances corresponding to the $\ell^1$
case, and enable conversion of sequence similarities to distances for a much
wider class of scoring schemes. Our constructions require much less restrictive
gap penalties than the ones regularly used. Numerous examples are provided to
illustrate the concepts introduced and their potential applications.
| q-bio.QM | we propose a general framework for converting global and local similarities between biological sequences to quasimetrics in contrast to previous works our formulation allows asymmetric distances originating from uneven weighting of strings that may induce nontrivial partial orders on sets of biosequences furthermore the ellptype distances considered are more general than traditional generalized string edit distances corresponding to the ell1 case and enable conversion of sequence similarities to distances for a much wider class of scoring schemes our constructions require much less restrictive gap penalties than the ones regularly used numerous examples are provided to illustrate the concepts introduced and their potential applications | [['we', 'propose', 'a', 'general', 'framework', 'for', 'converting', 'global', 'and', 'local', 'similarities', 'between', 'biological', 'sequences', 'to', 'quasimetrics', 'in', 'contrast', 'to', 'previous', 'works', 'our', 'formulation', 'allows', 'asymmetric', 'distances', 'originating', 'from', 'uneven', 'weighting', 'of', 'strings', 'that', 'may', 'induce', 'nontrivial', 'partial', 'orders', 'on', 'sets', 'of', 'biosequences', 'furthermore', 'the', 'ellptype', 'distances', 'considered', 'are', 'more', 'general', 'than', 'traditional', 'generalized', 'string', 'edit', 'distances', 'corresponding', 'to', 'the', 'ell1', 'case', 'and', 'enable', 'conversion', 'of', 'sequence', 'similarities', 'to', 'distances', 'for', 'a', 'much', 'wider', 'class', 'of', 'scoring', 'schemes', 'our', 'constructions', 'require', 'much', 'less', 'restrictive', 'gap', 'penalties', 'than', 'the', 'ones', 'regularly', 'used', 'numerous', 'examples', 'are', 'provided', 'to', 'illustrate', 'the', 'concepts', 'introduced', 'and', 'their', 'potential', 'applications']] | [-0.08473781881484148, 0.07476923742112429, -0.05858574000497659, 0.1650594072599037, -0.11736209695592668, -0.13708045107641204, 0.055647117591362594, 0.41619709064709204, -0.2777204685844481, -0.31498923809632806, 0.056165497034432035, -0.27558884314303034, -0.14852494695315174, 0.23121183226798095, -0.10716676113067888, 0.03521564481985372, 0.05186458782968568, 0.013555799967006725, -0.126420435717092, -0.2571931719259523, 0.30629234718085796, 0.03641399302104415, 0.28825370412246853, -0.0037277864118782328, 0.024988711683773528, -0.009014091769452481, -0.07296462701040082, 0.03954172625169888, -0.12976366033420644, 0.20583883138811765, 0.2505326601402724, 0.11772165701761111, 0.2727532470324898, -0.42628756326203254, -0.24359699858206452, 0.14441982826546712, 0.12130131659225799, 0.1264407732615284, -0.029486808480321675, -0.26210236881503507, 0.09480893891532997, -0.13895034340242216, -0.06301933984436534, -0.102372926956627, 0.04579642853316139, 0.03939418105280721, -0.2826397385169734, 0.06036563647235287, 0.078128335472452, 0.02187577815379436, -0.011023321819569295, -0.1729745659737519, 0.017881092154329606, 0.11632881921889517, 0.043463953186337854, 0.028838266329794172, 0.07645056683880587, -0.06937561091948666, -0.1282218651544741, 0.3926355175527872, 0.00984596544916641, -0.21888892560987278, 0.26994438782589986, -0.06543893853257246, -0.09202441148112948, 0.09877892198296738, 0.17614536802740952, 0.1705481268616174, -0.1308673157301896, 0.026285510828065704, 0.011983059027104401, 0.13539078662756318, 0.1369692873775813, 0.10958421211598404, 0.1658112755314648, 0.09495456007711005, 0.10200153613079559, 0.1308006239488867, -0.05731486086448308, -0.162769377158553, -0.2672197901844686, -0.06618226102242868, -0.12925657630879797, 0.017501036094258512, -0.10439560510655842, -0.15445141939733945, 0.3727362443528631, 0.16302107371887484, 0.19405061733799384, 0.12342437807306209, 0.2552243945686439, 0.04698089614519667, 0.11716472545488026, 0.05680835176734071, 0.18299551922188817, 0.10771267748821307, 0.06720629019900133, -0.1175435278028268, 0.05231396398306185, 0.0756039488147579] |
710.2556 | Continuum of consciousness: Mind uploading and resurrection of human
consciousness. Is there a place for physics, neuroscience and computers? | In this paper, I perform mental experiment to analyze hypothetical process of
mind uploading. That process suggested as a way to achieve resurrection of
human consciousness. Mind uploading can be seen as a migration process of the
core mental functions, which migrate from a human brain to an artificial
environment. To simulate the process, I suggest a topological approach which is
based on a formalism of information geometry. Geometrical formalism lets us
simulate the toy mind as geometrical structures as well as gives us powerful
geometrical and topological methods for analysis of the information system.
This approach leads to the insight about using holographic model as an analogy
for the mind migration to an artificial environment. This model represents the
toy mind functionality in terms of information geometry (as a geometrical
shape) on information manifold. Such shape can have distributed holographic
representation. This representation gives us delocalized representation of the
system. At the same time, the process of creating the holographic
representation gives us a strategy to migrate from original to an artificial
environment and back. The interface between brain and an environment is modeled
as an entropy flow which is defined as a geometrical flow on information
manifold. Such flow is an analogy of holography recording for the toy mind. The
opposite process of holography reconstruction is modeled by none-local
Hamiltonians defined on the information manifold.
| physics.gen-ph | in this paper i perform mental experiment to analyze hypothetical process of mind uploading that process suggested as a way to achieve resurrection of human consciousness mind uploading can be seen as a migration process of the core mental functions which migrate from a human brain to an artificial environment to simulate the process i suggest a topological approach which is based on a formalism of information geometry geometrical formalism lets us simulate the toy mind as geometrical structures as well as gives us powerful geometrical and topological methods for analysis of the information system this approach leads to the insight about using holographic model as an analogy for the mind migration to an artificial environment this model represents the toy mind functionality in terms of information geometry as a geometrical shape on information manifold such shape can have distributed holographic representation this representation gives us delocalized representation of the system at the same time the process of creating the holographic representation gives us a strategy to migrate from original to an artificial environment and back the interface between brain and an environment is modeled as an entropy flow which is defined as a geometrical flow on information manifold such flow is an analogy of holography recording for the toy mind the opposite process of holography reconstruction is modeled by nonelocal hamiltonians defined on the information manifold | [['in', 'this', 'paper', 'i', 'perform', 'mental', 'experiment', 'to', 'analyze', 'hypothetical', 'process', 'of', 'mind', 'uploading', 'that', 'process', 'suggested', 'as', 'a', 'way', 'to', 'achieve', 'resurrection', 'of', 'human', 'consciousness', 'mind', 'uploading', 'can', 'be', 'seen', 'as', 'a', 'migration', 'process', 'of', 'the', 'core', 'mental', 'functions', 'which', 'migrate', 'from', 'a', 'human', 'brain', 'to', 'an', 'artificial', 'environment', 'to', 'simulate', 'the', 'process', 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710.2557 | The Nearby and Extremely Metal-Poor Galaxy CGCG 269-049 | We present Hubble Space Telescope (HST) and Spitzer Space Telescope images
and photometry of the extremely metal-poor (Z = 0.03 Z_sol) blue dwarf galaxy
CGCG 269-049. The HST images reveal a large population of red giant and
asymptotic giant branch stars, ruling out the possibility that the galaxy has
recently formed. From the magnitude of the tip of the red giant branch, we
measure a distance to CGCG 269-049 of only 4.9 +/- 0.4 Mpc. The spectral energy
distribution of the galaxy between ~3.6 - 70 microns is also best fitted by
emission from predominantly ~10 Gyr old stars, with a component of thermal dust
emission having a temperature of 52 +/- 10 K. The HST and Spitzer photometry
indicate that more than 60% of CGCG 269-049's stellar mass consists of stars
~10 Gyr old, similar to other local blue dwarf galaxies. Our HST H-alpha image
shows no evidence of a supernova-driven outflow that could be removing metals
from the galaxy, nor do we find evidence that such outflows occurred in the
past. Taken together with CGCG 269-049's large ratio of neutral hydrogen mass
to stellar mass (~10), these results are consistent with recent simulations in
which the metal deficiency of local dwarf galaxies results mainly from
inefficient star formation, rather than youth or the escape of supernova
ejecta.
| astro-ph | we present hubble space telescope hst and spitzer space telescope images and photometry of the extremely metalpoor z 003 z_sol blue dwarf galaxy cgcg 269049 the hst images reveal a large population of red giant and asymptotic giant branch stars ruling out the possibility that the galaxy has recently formed from the magnitude of the tip of the red giant branch we measure a distance to cgcg 269049 of only 49 04 mpc the spectral energy distribution of the galaxy between 36 70 microns is also best fitted by emission from predominantly 10 gyr old stars with a component of thermal dust emission having a temperature of 52 10 k the hst and spitzer photometry indicate that more than 60 of cgcg 269049s stellar mass consists of stars 10 gyr old similar to other local blue dwarf galaxies our hst halpha image shows no evidence of a supernovadriven outflow that could be removing metals from the galaxy nor do we find evidence that such outflows occurred in the past taken together with cgcg 269049s large ratio of neutral hydrogen mass to stellar mass 10 these results are consistent with recent simulations in which the metal deficiency of local dwarf galaxies results mainly from inefficient star formation rather than youth or the escape of supernova ejecta | [['we', 'present', 'hubble', 'space', 'telescope', 'hst', 'and', 'spitzer', 'space', 'telescope', 'images', 'and', 'photometry', 'of', 'the', 'extremely', 'metalpoor', 'z', '003', 'z_sol', 'blue', 'dwarf', 'galaxy', 'cgcg', '269049', 'the', 'hst', 'images', 'reveal', 'a', 'large', 'population', 'of', 'red', 'giant', 'and', 'asymptotic', 'giant', 'branch', 'stars', 'ruling', 'out', 'the', 'possibility', 'that', 'the', 'galaxy', 'has', 'recently', 'formed', 'from', 'the', 'magnitude', 'of', 'the', 'tip', 'of', 'the', 'red', 'giant', 'branch', 'we', 'measure', 'a', 'distance', 'to', 'cgcg', '269049', 'of', 'only', '49', '04', 'mpc', 'the', 'spectral', 'energy', 'distribution', 'of', 'the', 'galaxy', 'between', '36', 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710.2558 | A Unified Theory for the Atmospheres of the Hot and Very Hot Jupiters:
Two Classes of Irradiated Atmospheres | We highlight the importance of gaseous TiO and VO opacity on the highly
irradiated close-in giant planets. The atmospheres of these planets naturally
fall into two classes that are somewhat analogous to the M- and L-type dwarfs.
Those that are warm enough to have appreciable opacity due to TiO and VO gases
we term the ``pM Class'' planets, and those that are cooler we term ``pL
Class'' planets. We calculate model atmospheres for these planets, including
pressure-temperature profiles, spectra, and characteristic radiative time
constants. We show that pM Class planets have hot stratospheres $\sim$2000 K
and appear ``anomalously'' bright in the mid infrared secondary eclipse, as was
recently found for planets HD 149026b and HD 209458b. This class of planets
absorbs incident flux and emits thermal flux from high in their atmospheres.
Consequently, they will have large day/night temperature contrasts and
negligible phase shifts between orbital phase and thermal emission light
curves, because radiative timescales are much shorter than possible dynamical
timescales. The pL Class planets absorb incident flux deeper in the atmosphere
where atmospheric dynamics will more readily redistribute absorbed energy. This
will lead to cooler day sides, warmer night sides, and larger phase shifts in
thermal emission light curves. Around a Sun-like primary this boundary occurs
at $\sim$0.04-0.05 AU. The eccentric transiting planets HD 147506b and HD
17156b alternate between the classes. Thermal emission in the optical from pM
Class planets is significant red-ward of 400 nm, making these planets
attractive targets for optical detection. The difference in the observed
day/night contrast between ups Andromeda b (pM Class) and HD 189733b (pL Class)
is naturally explained in this scenario. (Abridged.)
| astro-ph | we highlight the importance of gaseous tio and vo opacity on the highly irradiated closein giant planets the atmospheres of these planets naturally fall into two classes that are somewhat analogous to the m and ltype dwarfs those that are warm enough to have appreciable opacity due to tio and vo gases we term the pm class planets and those that are cooler we term pl class planets we calculate model atmospheres for these planets including pressuretemperature profiles spectra and characteristic radiative time constants we show that pm class planets have hot stratospheres sim2000 k and appear anomalously bright in the mid infrared secondary eclipse as was recently found for planets hd 149026b and hd 209458b this class of planets absorbs incident flux and emits thermal flux from high in their atmospheres consequently they will have large daynight temperature contrasts and negligible phase shifts between orbital phase and thermal emission light curves because radiative timescales are much shorter than possible dynamical timescales the pl class planets absorb incident flux deeper in the atmosphere where atmospheric dynamics will more readily redistribute absorbed energy this will lead to cooler day sides warmer night sides and larger phase shifts in thermal emission light curves around a sunlike primary this boundary occurs at sim004005 au the eccentric transiting planets hd 147506b and hd 17156b alternate between the classes thermal emission in the optical from pm class planets is significant redward of 400 nm making these planets attractive targets for optical detection the difference in the observed daynight contrast between ups andromeda b pm class and hd 189733b pl class is naturally explained in this scenario abridged | [['we', 'highlight', 'the', 'importance', 'of', 'gaseous', 'tio', 'and', 'vo', 'opacity', 'on', 'the', 'highly', 'irradiated', 'closein', 'giant', 'planets', 'the', 'atmospheres', 'of', 'these', 'planets', 'naturally', 'fall', 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710.2559 | Products in Hopf-Cyclic Cohomology | We construct several pairings in Hopf-cyclic cohomology of (co)module
(co)algebras with arbitrary coefficients. The key ideas instrumental in
constructing these pairings are the derived functor interpretation of
Hopf-cyclic and equivariant cyclic (co)homology, and the Yoneda interpretation
of Ext-groups. As a special case of one of these pairings, we recover the
Connes-Moscovici characteristic map in Hopf-cyclic cohomology. We also prove
that this particular pairing, along with few others, would stay the same if we
replace the derived category of (co)cyclic modules with the homotopy category
of (special) towers of $X$-complexes, or the derived category of mixed
complexes.
| math.KT math.QA | we construct several pairings in hopfcyclic cohomology of comodule coalgebras with arbitrary coefficients the key ideas instrumental in constructing these pairings are the derived functor interpretation of hopfcyclic and equivariant cyclic cohomology and the yoneda interpretation of extgroups as a special case of one of these pairings we recover the connesmoscovici characteristic map in hopfcyclic cohomology we also prove that this particular pairing along with few others would stay the same if we replace the derived category of cocyclic modules with the homotopy category of special towers of xcomplexes or the derived category of mixed complexes | [['we', 'construct', 'several', 'pairings', 'in', 'hopfcyclic', 'cohomology', 'of', 'comodule', 'coalgebras', 'with', 'arbitrary', 'coefficients', 'the', 'key', 'ideas', 'instrumental', 'in', 'constructing', 'these', 'pairings', 'are', 'the', 'derived', 'functor', 'interpretation', 'of', 'hopfcyclic', 'and', 'equivariant', 'cyclic', 'cohomology', 'and', 'the', 'yoneda', 'interpretation', 'of', 'extgroups', 'as', 'a', 'special', 'case', 'of', 'one', 'of', 'these', 'pairings', 'we', 'recover', 'the', 'connesmoscovici', 'characteristic', 'map', 'in', 'hopfcyclic', 'cohomology', 'we', 'also', 'prove', 'that', 'this', 'particular', 'pairing', 'along', 'with', 'few', 'others', 'would', 'stay', 'the', 'same', 'if', 'we', 'replace', 'the', 'derived', 'category', 'of', 'cocyclic', 'modules', 'with', 'the', 'homotopy', 'category', 'of', 'special', 'towers', 'of', 'xcomplexes', 'or', 'the', 'derived', 'category', 'of', 'mixed', 'complexes']] | [-0.21703714090154358, 0.0368157984786912, -0.07949223417886778, 0.12913895999694144, -0.09192373823178442, -0.16244661146774889, -0.048097346036841994, 0.35755484413943794, -0.4275602200901822, -0.20562235053236547, 0.08410686932038516, -0.15652067738793496, -0.16481600622156342, 0.17824885868743112, -0.17717402443093688, -0.09311187456509, 0.047166964566139016, 0.11069440059363841, -0.10520792422865174, -0.28452632217759904, 0.4866204227958071, -0.0084497522501471, 0.21919904045295735, 0.014631127374932953, 0.09620105031093484, 0.024882243725618248, -0.04874941006388613, -0.04652867046625991, -0.16344688355250248, 0.18071014934072369, 0.36317973265203796, 0.02140080189381383, 0.14002207665532632, -0.37489626565457956, -0.0849601534636397, 0.1693908290790492, 0.10700495100923274, 0.07182512982307296, 0.0002869722604947655, -0.2884116882237753, 0.11367257789580004, -0.273376423649882, -0.12296164781835518, -0.08196229969984607, 0.04214114364432661, 0.06052637484022661, -0.2115045071432465, -0.04960817918212055, 0.07663332441527593, 0.13785289545592508, -0.14013777006123412, -0.12342390180810502, -0.11036096222600654, 0.13199216119307827, -0.011273520064883327, -0.028606338572449444, 0.11893470909838613, -0.11419173667550479, -0.14831600471546774, 0.34071831481629294, -0.07537282271996924, -0.17683538708737806, 0.13235649442986439, -0.14419855030351564, -0.21286505106836556, 0.10420180991488068, -0.036067408852671325, 0.14707148089992667, 0.014600915040232634, 0.13772115110248132, -0.15370998773478756, 0.027198331567801926, 0.13367570570523019, 0.06505437367350647, 0.13491545708261823, 0.0447169821586852, 0.021050194346983183, 0.13312218920082639, -0.02876286677231914, -0.07650730617246346, -0.3721976685680841, -0.21268221693799683, -0.05049777283872429, 0.10798688497590392, -0.08174864199766153, -0.1839799491492541, 0.405101120704785, 0.14199852551774758, 0.2057993516742595, 0.16796904146659042, 0.2291885806051524, 0.05173968233116045, 0.08791779812033239, -0.020179432865820433, 0.13743907997727786, 0.277065528321423, -0.009013588687306956, -0.07195057638210098, -0.01913789949919048, 0.2584902013014806] |
710.256 | Error Channels and the Threshold for Fault-tolerant Quantum Computation | This dissertation treats the topics of threshold calculation, ancilla
construction, and non-standard error models. Chapter 2 introduces background
material ranging from quantum mechanics to classical coding to thresholds for
quantum computation. In Chapter 3 numerical and analytical means are used to
generate estimates of and bounds on the threshold given an error model
described by a restricted stochastic Pauli channel. Chapter 4 develops a
simple, flexible means of estimating the threshold and applies it to some cases
of interest. Finally, a novel method of ancilla construction is proposed in
Chapter 5, and the difficulties associated with implementing it are discussed.
| quant-ph | this dissertation treats the topics of threshold calculation ancilla construction and nonstandard error models chapter 2 introduces background material ranging from quantum mechanics to classical coding to thresholds for quantum computation in chapter 3 numerical and analytical means are used to generate estimates of and bounds on the threshold given an error model described by a restricted stochastic pauli channel chapter 4 develops a simple flexible means of estimating the threshold and applies it to some cases of interest finally a novel method of ancilla construction is proposed in chapter 5 and the difficulties associated with implementing it are discussed | [['this', 'dissertation', 'treats', 'the', 'topics', 'of', 'threshold', 'calculation', 'ancilla', 'construction', 'and', 'nonstandard', 'error', 'models', 'chapter', '2', 'introduces', 'background', 'material', 'ranging', 'from', 'quantum', 'mechanics', 'to', 'classical', 'coding', 'to', 'thresholds', 'for', 'quantum', 'computation', 'in', 'chapter', '3', 'numerical', 'and', 'analytical', 'means', 'are', 'used', 'to', 'generate', 'estimates', 'of', 'and', 'bounds', 'on', 'the', 'threshold', 'given', 'an', 'error', 'model', 'described', 'by', 'a', 'restricted', 'stochastic', 'pauli', 'channel', 'chapter', '4', 'develops', 'a', 'simple', 'flexible', 'means', 'of', 'estimating', 'the', 'threshold', 'and', 'applies', 'it', 'to', 'some', 'cases', 'of', 'interest', 'finally', 'a', 'novel', 'method', 'of', 'ancilla', 'construction', 'is', 'proposed', 'in', 'chapter', '5', 'and', 'the', 'difficulties', 'associated', 'with', 'implementing', 'it', 'are', 'discussed']] | [-0.06795645014208276, 0.11704407435972826, -0.01882004107348621, 0.06644697315525264, -0.03176050734240562, -0.21069976522121578, 0.0558464629529044, 0.3158036693045869, -0.24256743935402483, -0.3298686083033681, 0.11106168131693267, -0.24044671449344604, -0.19312626138795166, 0.23153078066185118, -0.10089352516195504, 0.09452034107875079, 0.04505875310860574, 0.025074107646942137, -0.09574741335585714, -0.25504958017729223, 0.31063263229094445, 0.08782716335495934, 0.2539439135848079, 0.043293348657898606, 0.11595802042167634, 0.028713522697798907, -0.08963033429346978, -0.019114398144756704, -0.17397263542748986, 0.15945785644464194, 0.27484510854050315, 0.14415370400995017, 0.26928998162038625, -0.3946563771436922, -0.21315989338268992, 0.0403321195859462, 0.13647651038103503, 0.18203589673154055, -0.049019255569437516, -0.25944084408693013, 0.0822869189362973, -0.22237825775984674, -0.13225945917423815, -0.07180429296335206, -0.02263368284329772, -0.019903513878234663, -0.27282788606360553, 0.07741881115362048, 0.10834307558368891, 0.06926110415370204, 0.00917326943948865, -0.14847658732207492, 0.1041894923010841, 0.086952058179304, 0.0001460266427602619, 0.016622041147202254, 0.13457526026293634, -0.11724249292456079, -0.13742056424729526, 0.3442500151880086, 0.013199127993430012, -0.21784472703933716, 0.1680628199741477, -0.04834924597293139, -0.12896491773892194, 0.11592868625186384, 0.1884250595397316, 0.07541115321684629, -0.15774212129879742, 0.08572185000120953, 0.05441948083229363, 0.17346515346318483, 0.05247180881910026, 0.023357652444392443, 0.11999841874756384, 0.16445182953029872, 0.0387668477545958, 0.15274309635162353, -0.06674782327201684, -0.16308440132532268, -0.3826847259327769, -0.13641525959188583, -0.1750647919997573, 0.05018162757507525, -0.03817998453669134, -0.13213226459803992, 0.3924652607366443, 0.16949394778523127, 0.1436639260035008, 0.05843164836987853, 0.28811489740386603, 0.12731344095023814, -0.017739349785260858, 0.06434920073021204, 0.19774023299716645, 0.19883738197619094, 0.03844314244110137, -0.12415868955897168, 0.017344888101215473, 0.08100307911401615] |
710.2561 | Crystallography without crystals I: the common-line method for
assembling a 3D intensity volume from single-particle scattering | We demonstrate that a common-line method can assemble a 3D oversampled
diffracted intensity distribution suitable for high-resolution structure
solution from a set of measured 2D diffraction patterns, as proposed in
experiments with an X-ray free electron laser (XFEL) (Neutze {\it et al.},
2000). Even for a flat Ewald sphere, we show how the ambiguities due to
Friedel's Law may be overcome. The method breaks down for photon counts below
about 10 per detector pixel, almost 3 orders of magnitude higher than expected
for scattering by a 500 kDa protein with an XFEL beam focused to a 0.1 micron
diameter spot. Even if 10**3 orientationally similar diffraction patterns could
be identified and added to reach the requisite photon count per pixel, the need
for about 10**6 orientational classes for high-resolution structure
determination suggests that about ~ 10**9 diffraction patterns must be
recorded. Assuming pulse and read-out rates of 100 Hz, such measurements would
require ~ 10**7 seconds, i.e. several months of continuous beam time.
| q-bio.BM | we demonstrate that a commonline method can assemble a 3d oversampled diffracted intensity distribution suitable for highresolution structure solution from a set of measured 2d diffraction patterns as proposed in experiments with an xray free electron laser xfel neutze it et al 2000 even for a flat ewald sphere we show how the ambiguities due to friedels law may be overcome the method breaks down for photon counts below about 10 per detector pixel almost 3 orders of magnitude higher than expected for scattering by a 500 kda protein with an xfel beam focused to a 01 micron diameter spot even if 103 orientationally similar diffraction patterns could be identified and added to reach the requisite photon count per pixel the need for about 106 orientational classes for highresolution structure determination suggests that about 109 diffraction patterns must be recorded assuming pulse and readout rates of 100 hz such measurements would require 107 seconds ie several months of continuous beam time | [['we', 'demonstrate', 'that', 'a', 'commonline', 'method', 'can', 'assemble', 'a', '3d', 'oversampled', 'diffracted', 'intensity', 'distribution', 'suitable', 'for', 'highresolution', 'structure', 'solution', 'from', 'a', 'set', 'of', 'measured', '2d', 'diffraction', 'patterns', 'as', 'proposed', 'in', 'experiments', 'with', 'an', 'xray', 'free', 'electron', 'laser', 'xfel', 'neutze', 'it', 'et', 'al', '2000', 'even', 'for', 'a', 'flat', 'ewald', 'sphere', 'we', 'show', 'how', 'the', 'ambiguities', 'due', 'to', 'friedels', 'law', 'may', 'be', 'overcome', 'the', 'method', 'breaks', 'down', 'for', 'photon', 'counts', 'below', 'about', '10', 'per', 'detector', 'pixel', 'almost', '3', 'orders', 'of', 'magnitude', 'higher', 'than', 'expected', 'for', 'scattering', 'by', 'a', '500', 'kda', 'protein', 'with', 'an', 'xfel', 'beam', 'focused', 'to', 'a', '01', 'micron', 'diameter', 'spot', 'even', 'if', '103', 'orientationally', 'similar', 'diffraction', 'patterns', 'could', 'be', 'identified', 'and', 'added', 'to', 'reach', 'the', 'requisite', 'photon', 'count', 'per', 'pixel', 'the', 'need', 'for', 'about', '106', 'orientational', 'classes', 'for', 'highresolution', 'structure', 'determination', 'suggests', 'that', 'about', '109', 'diffraction', 'patterns', 'must', 'be', 'recorded', 'assuming', 'pulse', 'and', 'readout', 'rates', 'of', '100', 'hz', 'such', 'measurements', 'would', 'require', '107', 'seconds', 'ie', 'several', 'months', 'of', 'continuous', 'beam', 'time']] | [-0.04836625409306689, 0.17977690964123766, -0.0404692619347816, 0.07090536498540789, -0.03355347518018394, -0.11889085846912092, 0.0610111689446904, 0.44095288125106935, -0.23655756001225994, -0.41504809921446295, 0.07938328191986507, -0.3194526952747021, -0.020237410523044237, 0.23863586751047122, -0.034862453213881164, 0.06441624594102584, 0.06298228306915471, -0.02984391957076278, -0.06743762830752621, -0.21855784662407618, 0.17865492069636876, 0.09682140599807385, 0.2718916104216152, 0.021868369837859704, 0.14620345474056806, 0.004954941368679393, -0.02342917507444069, -0.020989063119738357, -0.12215759534633693, 0.051381499427458587, 0.24722911044955254, 0.07067895943954962, 0.2072718865530999, -0.4452809935710949, -0.21494283798625166, 0.055658226910357676, 0.15599881794666812, 0.06276238156752016, -0.030044887115323694, -0.23662978404424148, 0.12072604927292925, -0.15895343624617694, -0.15118652613212666, -0.04949802910007021, 0.015525048182773515, 0.008479406692544525, -0.27318453294760986, 0.0943420275711929, 0.011862596665339181, 0.054648965679155954, -0.05487235505192441, -0.07406247546383818, 0.0027802952128878366, 0.03486059144221293, -0.015748230569099762, 0.06588242683448366, 0.17695763381198049, -0.09267005833955307, -0.10124630191943275, 0.38278196538277204, -0.041105860914268426, -0.10098289405200747, 0.11961674142215964, -0.22950106289284597, -0.06455917072734274, 0.2628301628191704, 0.1219697397064239, 0.12683777285999884, -0.13111690419605998, -0.027931901734650322, -0.009928707607418485, 0.3257189421041769, 0.2066178498950746, 0.03519255019220635, 0.22546237893695445, 0.1770020035496743, 0.07239798256693958, 0.09913632916520883, -0.2096261561821865, 0.013415163451345908, -0.25057095370830895, -0.08857445256585407, -0.14989352314410814, 0.10421796949176153, -0.10483376396825074, -0.08494975931251293, 0.3618083846661608, 0.14767246019847854, 0.18677323763170894, 0.015458149126725001, 0.2928589417170089, 0.07489589097224683, 0.10336104667388231, 0.023667977645454353, 0.20989448437760086, 0.08387681804729169, 0.09969411884674674, -0.14657676124098892, 0.017558324271549453, -0.017158585574196757] |
710.2562 | Flow of a non-Newtonian fluids on a flat plate: I. boundary layer | This paper has been withdrawn by the authors as requested by the journal.
| math-ph math.MP | this paper has been withdrawn by the authors as requested by the journal | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'as', 'requested', 'by', 'the', 'journal']] | [-0.051849561815078445, -0.0056348205902255494, -0.07618304599936192, -0.1004991584833568, -0.1393480429855677, -0.049276651814579964, 0.04166958718381535, 0.2856891883107332, -0.2531938112627428, -0.44801925466610837, 0.13133096007200387, -0.2939828304717174, -0.14337604048733527, 0.06278734553891879, -0.3007121467246459, 0.12294356983441573, -0.0004248587557902703, -0.02029255634317031, 0.021162373801836602, -0.4277529940009117, 0.35447068684376204, 0.22486130377421013, 0.26011213559943897, 0.168812705275531, -0.01888717761119971, -0.03282204700204042, -0.2058954362112742, 0.06288481446412894, -0.18437307299329683, 0.09788784248611102, 0.2766952377099257, 0.0949116730883431, 0.49358691389744097, -0.3823587332780545, -0.2640858286848435, 0.04187423033783069, 0.1913424741763335, 0.09000880213884208, -0.068128427848793, -0.39378876697558624, 0.22539102744597656, -0.36977073091727036, -0.084314132324205, 0.02727558033970686, 0.16379079065070704, -0.01941175300341386, -0.024764987711723033, 0.03804770534714827, 0.13610507347262824, 0.20174405437249404, 0.08285701389496143, -0.19688050271585011, 0.05356425104232935, 0.1815954936811557, 0.21368432847353128, 0.1282774697129543, 0.01906768433176554, -0.0631710620274624, -0.1629671689409476, 0.42775138410238117, 0.04760090018121096, -0.1845845439686225, 0.057354614711724795, -0.0030914323690992137, -0.12012008749521695, 0.08806569673694097, 0.14324752807330626, 0.03413633930568512, -0.30875479917113596, 0.2414826431956429, -0.14468348527757022, 0.12076951047548881, 0.26639100837592894, -0.07785697453297101, 0.08156195741433364, 0.09967913077427791, -0.047328426072803825, 0.1920860493555665, 0.032444086498939075, 0.05385962759072964, -0.19804803625895426, -0.1725652296669208, -0.33662934658619076, 0.07478802708479074, 0.24336573825432703, -0.01866327140193719, 0.4570668362654172, 0.10169668065813872, 0.10147862766797726, -0.15907040009131798, 0.3282720475242688, 0.19203896002055934, 0.07335567904206422, 0.04264881605139145, 0.2931607769658932, 0.061987335614573494, 0.30691137078862923, -0.0228713398369459, 0.2759571803303865, 0.21627653848666412] |
710.2563 | Scaling laws of solar and stellar flares | In this study we compile for the first time comprehensive data sets of solar
and stellar flare parameters, including flare peak temperatures T_p, flare peak
volume emission measures EM_p, and flare durations t_f from both solar and
stellar data, as well as flare length scales L from solar data. Key results are
that both the solar and stellar data are consistent with a common scaling law
of EM_p ~ T_p^4.7, but the stellar flares exhibit ~250 times higher emission
measures (at the same flare peak temperature). For solar flares we observe also
systematic trends for the flare length scale L(T_p) ~ T_p^0.9 and the flare
duration t_F(T_p) ~ T_p^0.9 as a function of the flare peak temperature. Using
the theoretical RTV scaling law and the fractal volume scaling observed for
solar flares, i.e., V(L) ~ L^2.4, we predict a scaling law of EM_p ~ T_p^4.3,
which is consistent with observations, and a scaling law for electron densities
in flare loops, n_p ~ T_p^2/L ~ T_p^1.1. The RTV-predicted electron densities
were also found to be consistent with densities inferred from total emission
measures, n_p=(EM_p/q_V*V)^1/2, using volume filling factors of q_V=0.03-0.08
constrained by fractal dimensions measured in solar flares. Our results affect
also the determination of radiative and conductive cooling times, thermal
energies, and frequency distributions of solar and stellar flare energies.
| astro-ph | in this study we compile for the first time comprehensive data sets of solar and stellar flare parameters including flare peak temperatures t_p flare peak volume emission measures em_p and flare durations t_f from both solar and stellar data as well as flare length scales l from solar data key results are that both the solar and stellar data are consistent with a common scaling law of em_p t_p47 but the stellar flares exhibit 250 times higher emission measures at the same flare peak temperature for solar flares we observe also systematic trends for the flare length scale lt_p t_p09 and the flare duration t_ft_p t_p09 as a function of the flare peak temperature using the theoretical rtv scaling law and the fractal volume scaling observed for solar flares ie vl l24 we predict a scaling law of em_p t_p43 which is consistent with observations and a scaling law for electron densities in flare loops n_p t_p2l t_p11 the rtvpredicted electron densities were also found to be consistent with densities inferred from total emission measures n_pem_pq_vv12 using volume filling factors of q_v003008 constrained by fractal dimensions measured in solar flares our results affect also the determination of radiative and conductive cooling times thermal energies and frequency distributions of solar and stellar flare energies | [['in', 'this', 'study', 'we', 'compile', 'for', 'the', 'first', 'time', 'comprehensive', 'data', 'sets', 'of', 'solar', 'and', 'stellar', 'flare', 'parameters', 'including', 'flare', 'peak', 'temperatures', 't_p', 'flare', 'peak', 'volume', 'emission', 'measures', 'em_p', 'and', 'flare', 'durations', 't_f', 'from', 'both', 'solar', 'and', 'stellar', 'data', 'as', 'well', 'as', 'flare', 'length', 'scales', 'l', 'from', 'solar', 'data', 'key', 'results', 'are', 'that', 'both', 'the', 'solar', 'and', 'stellar', 'data', 'are', 'consistent', 'with', 'a', 'common', 'scaling', 'law', 'of', 'em_p', 't_p47', 'but', 'the', 'stellar', 'flares', 'exhibit', 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710.2564 | Slonczewski windmill with dissipation and asymmetry | J. Slonczewski invented spin-transfer effect in layered systems in 1996.
Among his first predictions was the regime of ``windmill motion'' of a
perfectly symmetric spin valve where the magnetizations of the layers rotate in
a fixed plane keeping the angle between them constant. Since ``windmill'' was
predicted to happen in the case of zero magnetic anisotropy, while in most
experimental setups the anisotropy is significant, the phenomenon was not a
subject of much research. However, the behavior of the magnetically isotropic
device is related to the interesting question of current induced ferromagnetism
and is worth more attention. Here we study the windmill regime in the presence
of dissipation, exchange interaction, and layer asymmetry. It is shown that the
windmill rotation is almost always destroyed by those effects, except for a
single special value of electric current, determined by the parameters of the
device.
| cond-mat.mtrl-sci | j slonczewski invented spintransfer effect in layered systems in 1996 among his first predictions was the regime of windmill motion of a perfectly symmetric spin valve where the magnetizations of the layers rotate in a fixed plane keeping the angle between them constant since windmill was predicted to happen in the case of zero magnetic anisotropy while in most experimental setups the anisotropy is significant the phenomenon was not a subject of much research however the behavior of the magnetically isotropic device is related to the interesting question of current induced ferromagnetism and is worth more attention here we study the windmill regime in the presence of dissipation exchange interaction and layer asymmetry it is shown that the windmill rotation is almost always destroyed by those effects except for a single special value of electric current determined by the parameters of the device | [['j', 'slonczewski', 'invented', 'spintransfer', 'effect', 'in', 'layered', 'systems', 'in', '1996', 'among', 'his', 'first', 'predictions', 'was', 'the', 'regime', 'of', 'windmill', 'motion', 'of', 'a', 'perfectly', 'symmetric', 'spin', 'valve', 'where', 'the', 'magnetizations', 'of', 'the', 'layers', 'rotate', 'in', 'a', 'fixed', 'plane', 'keeping', 'the', 'angle', 'between', 'them', 'constant', 'since', 'windmill', 'was', 'predicted', 'to', 'happen', 'in', 'the', 'case', 'of', 'zero', 'magnetic', 'anisotropy', 'while', 'in', 'most', 'experimental', 'setups', 'the', 'anisotropy', 'is', 'significant', 'the', 'phenomenon', 'was', 'not', 'a', 'subject', 'of', 'much', 'research', 'however', 'the', 'behavior', 'of', 'the', 'magnetically', 'isotropic', 'device', 'is', 'related', 'to', 'the', 'interesting', 'question', 'of', 'current', 'induced', 'ferromagnetism', 'and', 'is', 'worth', 'more', 'attention', 'here', 'we', 'study', 'the', 'windmill', 'regime', 'in', 'the', 'presence', 'of', 'dissipation', 'exchange', 'interaction', 'and', 'layer', 'asymmetry', 'it', 'is', 'shown', 'that', 'the', 'windmill', 'rotation', 'is', 'almost', 'always', 'destroyed', 'by', 'those', 'effects', 'except', 'for', 'a', 'single', 'special', 'value', 'of', 'electric', 'current', 'determined', 'by', 'the', 'parameters', 'of', 'the', 'device']] | [-0.20260044072520222, 0.18439779835069306, -0.010076421658163304, 0.020003350854564745, -0.08149940350379509, -0.15391378200424094, 0.0259152909193735, 0.3631671813245003, -0.2686131383834563, -0.3020305267137873, 0.04755540162005781, -0.2908790657586594, -0.1398877663345734, 0.2010052856448647, -0.007486271284442473, -0.007519587349322449, 0.004039487824286822, 0.035693502773276785, -0.03227030147042881, -0.2314716319832788, 0.28003727580857024, 0.06777345536091899, 0.3178605297671947, 0.05816336841993294, 0.04592621589398624, 0.012477177071508827, 0.05974517839837012, 0.05528240524544999, -0.12406129739272703, 0.039231339254631445, 0.1929478340597426, -0.04240711819106986, 0.22264404210585195, -0.4198996462286092, -0.1904249760367862, 0.08186424360447726, 0.10407908151733812, 0.13954799710056529, -0.03762095226465408, -0.24035489618276748, 0.041515304326809215, -0.1540296126345915, -0.12716859964640825, -0.01151751132577762, 0.07948344656741703, -0.02106076658180739, -0.25836755498475233, 0.09292160625523933, 0.1317665015373353, 0.06405714443572179, -0.04081636526087833, -0.08356664304041883, -0.06987341811190119, 0.11646991560457053, 0.08320329862425326, 0.0699425062223279, 0.12446066645019642, -0.1590735161834937, -0.09218980299660584, 0.3834597555581819, -0.03854547716494832, -0.1720478420311274, 0.12319696142006066, -0.20467688721910746, -0.06478346168255707, 0.10890798506769025, 0.09781418874586274, 0.11814413471733565, -0.13937366567877726, 0.07927999907853799, -0.039783508021879445, 0.1325421906752069, 0.06864780220170538, -0.007418938121152716, 0.23569280622605157, 0.16485767402699203, 0.04967097836461934, 0.1590557188459939, -0.08466784534117018, -0.11733645264554274, -0.21887129318568257, -0.11362672604171077, -0.20864384503094024, 0.05597994542671319, -0.02936964310112188, -0.12737810835173075, 0.3949434118674274, 0.159050088089246, 0.18515212952087706, -0.07491546112008497, 0.287782808713667, 0.0827206143966088, 0.08342174289038183, 0.06914385561538222, 0.32998201762931745, 0.17737270559190765, 0.13406677721711396, -0.23755740819147209, 0.14403033150698652, 0.0019312261467819083] |
710.2565 | The chiral transition on a 24^3x10 lattice with N_f=2 clover sea quarks
studied by overlap valence quarks | Overlap fermions are particularly well suited to study the finite temperature
dynamics of the chiral symmetry restoration transition of QCD, which might be
just an analytic crossover. Using gauge field configurations on a 24^3x10
lattice with N_f=2 flavours of dynamical Wilson-clover quarks generated by the
DIK collaboration, we compute the lowest 50 eigenmodes of the overlap Dirac
operator and try to locate the transition by fermionic means. We analyse the
spectral density, local chirality and localisation properties of the low-lying
modes and illustrate the changing topological and (anti-) selfdual structure of
the underlying gauge fields across the transition.
| hep-lat | overlap fermions are particularly well suited to study the finite temperature dynamics of the chiral symmetry restoration transition of qcd which might be just an analytic crossover using gauge field configurations on a 243x10 lattice with n_f2 flavours of dynamical wilsonclover quarks generated by the dik collaboration we compute the lowest 50 eigenmodes of the overlap dirac operator and try to locate the transition by fermionic means we analyse the spectral density local chirality and localisation properties of the lowlying modes and illustrate the changing topological and anti selfdual structure of the underlying gauge fields across the transition | [['overlap', 'fermions', 'are', 'particularly', 'well', 'suited', 'to', 'study', 'the', 'finite', 'temperature', 'dynamics', 'of', 'the', 'chiral', 'symmetry', 'restoration', 'transition', 'of', 'qcd', 'which', 'might', 'be', 'just', 'an', 'analytic', 'crossover', 'using', 'gauge', 'field', 'configurations', 'on', 'a', '243x10', 'lattice', 'with', 'n_f2', 'flavours', 'of', 'dynamical', 'wilsonclover', 'quarks', 'generated', 'by', 'the', 'dik', 'collaboration', 'we', 'compute', 'the', 'lowest', '50', 'eigenmodes', 'of', 'the', 'overlap', 'dirac', 'operator', 'and', 'try', 'to', 'locate', 'the', 'transition', 'by', 'fermionic', 'means', 'we', 'analyse', 'the', 'spectral', 'density', 'local', 'chirality', 'and', 'localisation', 'properties', 'of', 'the', 'lowlying', 'modes', 'and', 'illustrate', 'the', 'changing', 'topological', 'and', 'anti', 'selfdual', 'structure', 'of', 'the', 'underlying', 'gauge', 'fields', 'across', 'the', 'transition']] | [-0.14575656629464598, 0.29516910424611825, -0.08366144551594819, 0.0939318148593884, -0.052249155046107866, -0.07490900146391748, 0.06138663485762663, 0.3729834364494309, -0.18757941177803636, -0.26373405921428156, 0.0651004383059141, -0.28310756727296393, -0.12810906563754543, 0.020659814258882154, 0.0819220377743477, 0.06699991355223271, -0.014744450877818357, 0.04983551889502754, -0.15603721987766525, -0.18706105224312827, 0.3636895219484965, 0.015011991912615485, 0.30272893653212424, 0.0992458353624291, 0.01683214699733071, 0.00183892738520323, 0.0013130203503048203, -0.03655121293074141, -0.10815001468775638, 0.05199616953420142, 0.19587708266287032, -0.01587996847714142, 0.12593725378246745, -0.38329664283325354, -0.198136193677783, 0.07325153427518671, 0.1647508771129651, 0.12461459627350753, -0.0346836291840494, -0.3583401574772627, 0.0684282812968983, -0.14761217662210888, -0.1972394808763056, -0.15413980192776458, -0.06389546986247296, -0.04371151046022229, -0.27185528483641974, 0.06657765120811139, -0.0295485575955657, 0.12129125460827102, -0.030476767125340604, -0.1064902024033169, -0.09287584540531195, 0.14450024647036722, 0.07561638355734128, 0.03210751056212757, 0.1420712719518633, -0.19065324097997896, -0.14797132907066649, 0.4309680684624861, -0.06485412731005151, -0.15957973320473684, 0.1971710722094334, -0.16425576654728502, -0.09011018011612275, 0.1237410313866955, 0.1296384708257392, 0.11865948355504467, -0.11159443993104408, 0.13990012837894028, -0.022008892222705374, 0.15172993924231074, 0.07819727439103492, 0.046609112648487404, 0.26258644001791254, 0.1148646784228428, 0.03692282697011251, 0.12695138054914423, -0.04775727600159977, -0.16031718255483915, -0.30115204508183524, -0.10123257944117843, -0.20649094362549172, 0.058211911309626885, -0.08632581779299169, -0.19325508352873536, 0.48471391916973516, 0.15343929207786763, 0.20808935177046806, -0.012176836488227613, 0.21827749290484158, 0.1331549812469651, 0.0843079675687477, 0.03978601792429496, 0.21938492092400944, 0.20890859928961922, 0.0690892706309872, -0.3478378879080992, -0.13945807271132557, 0.12392015620571328] |
710.2566 | Coherent Spin Manipulations of a Polarized Beam With a Localized RF
Magnetic Field | The coherent manipulation of spin observables in storage rings provides
opportunities to test the application of some fundamental dynamical principles.
In this context, it is possible to confirm, using gauge invariance and Lorentz
invariance, a conjecture framed by A. M. Kondratenko concerning the "natural"
or "intrinsic" resonance strength applicable to a spin rotation from a
controlled Froissart-Stora sweep with an RF dipole magnet. The discussion
includes a brief treatment of the "forced" component of the resonance strength
associated with the effect of the betatron oscillations induced by the
operation of the RF diple and a discussion of the effective resonance strength
as a function of betatron tunes.
| hep-ph | the coherent manipulation of spin observables in storage rings provides opportunities to test the application of some fundamental dynamical principles in this context it is possible to confirm using gauge invariance and lorentz invariance a conjecture framed by a m kondratenko concerning the natural or intrinsic resonance strength applicable to a spin rotation from a controlled froissartstora sweep with an rf dipole magnet the discussion includes a brief treatment of the forced component of the resonance strength associated with the effect of the betatron oscillations induced by the operation of the rf diple and a discussion of the effective resonance strength as a function of betatron tunes | [['the', 'coherent', 'manipulation', 'of', 'spin', 'observables', 'in', 'storage', 'rings', 'provides', 'opportunities', 'to', 'test', 'the', 'application', 'of', 'some', 'fundamental', 'dynamical', 'principles', 'in', 'this', 'context', 'it', 'is', 'possible', 'to', 'confirm', 'using', 'gauge', 'invariance', 'and', 'lorentz', 'invariance', 'a', 'conjecture', 'framed', 'by', 'a', 'm', 'kondratenko', 'concerning', 'the', 'natural', 'or', 'intrinsic', 'resonance', 'strength', 'applicable', 'to', 'a', 'spin', 'rotation', 'from', 'a', 'controlled', 'froissartstora', 'sweep', 'with', 'an', 'rf', 'dipole', 'magnet', 'the', 'discussion', 'includes', 'a', 'brief', 'treatment', 'of', 'the', 'forced', 'component', 'of', 'the', 'resonance', 'strength', 'associated', 'with', 'the', 'effect', 'of', 'the', 'betatron', 'oscillations', 'induced', 'by', 'the', 'operation', 'of', 'the', 'rf', 'diple', 'and', 'a', 'discussion', 'of', 'the', 'effective', 'resonance', 'strength', 'as', 'a', 'function', 'of', 'betatron', 'tunes']] | [-0.1847748153287774, 0.18716733075598313, -0.049278483484298564, 0.04565014431360536, -0.09750950634658623, -0.11600024161900645, 0.040628143904121734, 0.33655482867302805, -0.26559821798358685, -0.3013577643208779, 0.05441062230518302, -0.20180368939047463, -0.12019462458780393, 0.23012348802205032, -0.005052957616638965, 0.03557562005992692, 0.023117999393994417, 0.05299374852956344, -0.0703243501691479, -0.14086109835009736, 0.2932274105752675, 0.0991932390203986, 0.28585743389199847, 0.07380357896013615, 0.11324070727166075, 0.07232628423774329, -0.009309097931971056, -0.008103895717515396, -0.10876414163137199, 0.12922221314735138, 0.19091438217079626, 0.05915084982720705, 0.24632125850229597, -0.39653256548067123, -0.17423798579749508, 0.04944400546306637, 0.0878537951684848, 0.14027382522964707, -0.06008391083630089, -0.2934533272278853, 0.01147623725522023, -0.17798485664220956, -0.20259072208584536, -0.07676924373775434, 0.014453595416853204, 0.02998182199483451, -0.27996394197599817, 0.045814893762256434, 0.12132675222500648, 0.129725988170741, -0.0476499519628795, -0.046272150648292154, 0.0033618757577362256, 0.0782688136521476, 0.08792498270542218, 0.06228641668656984, 0.19598983307010853, -0.1397708628008751, -0.1426054684427352, 0.3891742784617236, -0.07578876659681555, -0.15814136582104346, 0.1529291039209616, -0.15716991824760604, -0.08550798125081481, 0.12506031817219293, 0.14316609545718306, 0.08357506374327037, -0.1228421066995137, 0.08606431631331081, 0.010375653930868093, 0.13399460885781223, 0.055321424518926784, 0.035118231367400415, 0.2491257306694304, 0.1606964745397608, 0.06652839410190399, 0.16517160792584315, -0.09823229434382832, -0.050988900995155115, -0.33479470227701735, -0.1137006345536345, -0.14514970203163102, 0.09834620064849822, -0.011232295968791451, -0.12803769569682816, 0.45358145804717565, 0.1259414662177173, 0.1967802259605378, -0.038112796063964755, 0.3065320050451331, 0.10014291023365401, 0.11341553797515538, -0.025116488955413494, 0.24958768428908884, 0.23078167946033107, 0.07884838201033954, -0.2994990535214758, 0.0073974427471582135, 0.021293396143636737] |
710.2567 | Electronic States of Magnetic Quantum Dots | We study quantum states of electrons in magnetically doped quantum dots as a
function of exchange coupling between electron and impurity spins, the strength
of Coulomb interaction, confining potential, and the number of electrons. The
magnetic phase diagram of quantum dots, doped with a large number of magnetic
Mn impurities, can be described by the energy gap in the spectrum of electrons
and the mean field electron-Mn exchange coupling. A competition between these
two parameters leads to a transition between spin-unpolarized and
spin-polarized states, in the absence of applied magnetic field. Tuning the
energy gap by electrostatic control of nonparabolicity of the confining
potential can enable control of magnetization even at the fixed number of
electrons. We illustrate our findings by directly comparing Mn-doped quantum
dots with parabolic and Gaussian confining potential.
| cond-mat.mes-hall cond-mat.str-el | we study quantum states of electrons in magnetically doped quantum dots as a function of exchange coupling between electron and impurity spins the strength of coulomb interaction confining potential and the number of electrons the magnetic phase diagram of quantum dots doped with a large number of magnetic mn impurities can be described by the energy gap in the spectrum of electrons and the mean field electronmn exchange coupling a competition between these two parameters leads to a transition between spinunpolarized and spinpolarized states in the absence of applied magnetic field tuning the energy gap by electrostatic control of nonparabolicity of the confining potential can enable control of magnetization even at the fixed number of electrons we illustrate our findings by directly comparing mndoped quantum dots with parabolic and gaussian confining potential | [['we', 'study', 'quantum', 'states', 'of', 'electrons', 'in', 'magnetically', 'doped', 'quantum', 'dots', 'as', 'a', 'function', 'of', 'exchange', 'coupling', 'between', 'electron', 'and', 'impurity', 'spins', 'the', 'strength', 'of', 'coulomb', 'interaction', 'confining', 'potential', 'and', 'the', 'number', 'of', 'electrons', 'the', 'magnetic', 'phase', 'diagram', 'of', 'quantum', 'dots', 'doped', 'with', 'a', 'large', 'number', 'of', 'magnetic', 'mn', 'impurities', 'can', 'be', 'described', 'by', 'the', 'energy', 'gap', 'in', 'the', 'spectrum', 'of', 'electrons', 'and', 'the', 'mean', 'field', 'electronmn', 'exchange', 'coupling', 'a', 'competition', 'between', 'these', 'two', 'parameters', 'leads', 'to', 'a', 'transition', 'between', 'spinunpolarized', 'and', 'spinpolarized', 'states', 'in', 'the', 'absence', 'of', 'applied', 'magnetic', 'field', 'tuning', 'the', 'energy', 'gap', 'by', 'electrostatic', 'control', 'of', 'nonparabolicity', 'of', 'the', 'confining', 'potential', 'can', 'enable', 'control', 'of', 'magnetization', 'even', 'at', 'the', 'fixed', 'number', 'of', 'electrons', 'we', 'illustrate', 'our', 'findings', 'by', 'directly', 'comparing', 'mndoped', 'quantum', 'dots', 'with', 'parabolic', 'and', 'gaussian', 'confining', 'potential']] | [-0.17360423073511233, 0.2710256061506119, 0.007473789659949641, 0.03706212901284523, 0.045882828496608206, -0.18131242367213196, 0.0864768126004051, 0.37699860241264105, -0.2684488437971044, -0.36349275205848797, -0.07614553809275315, -0.3145836318250407, -0.07112964234230193, 0.16558282838950894, 0.0666298377045402, -0.00648412938145074, -0.02105500163143557, -0.029391784235044863, -0.061278842701788315, -0.18882515961586527, 0.3127627592201117, 0.002454202957310234, 0.26003479022024706, 0.14250194591163148, 0.006931614254206193, 0.07213649627484495, 0.15484332500702955, 0.049322719357653776, -0.10266817970003819, 0.07675276106226991, 0.2180120578872668, -0.11804793676304998, 0.2552368486808105, -0.4808326158108133, -0.1851334490277099, 0.04429482625070677, 0.16515411002646116, 0.1490222287953436, -0.11489480678133215, -0.300020943254684, -0.004238723219852104, -0.14513716703831134, -0.12161507919804673, -0.06315320261725874, -0.04100019608052786, 0.07383431211443774, -0.29371726510792295, 0.09251413389221963, 0.026709449957266, 0.05061431498633641, -0.08576633929006869, -0.07021656865606818, -0.062492560471803175, 0.10598605980560409, 0.058837475798403226, 0.06260064185886277, 0.18896574699884336, -0.14812922573676615, -0.13389533476297263, 0.317825902620274, -0.06793057782377934, -0.13664520982781664, 0.1529020863465231, -0.17556973264877204, 0.010035412784694045, 0.129173365880199, 0.12037455979522994, 0.06610971831392046, -0.11105567778312517, 0.15968197355869052, 0.03391657225702974, 0.16097403688807832, 0.019900793611833997, 0.0830746534118203, 0.26839593797922134, 0.133224248931969, 0.04536039336358733, 0.15196918794853528, -0.12560551670542214, -0.11114261775616217, -0.2525210310493342, -0.1836274566453402, -0.28059226582109026, 0.09580193944345934, -0.10809109032197739, -0.18218549773993084, 0.44036956054840243, 0.12166877341047494, 0.15717835198191812, -0.09330048768386019, 0.22846372441430998, 0.13026907727841966, 0.035559969185145965, 0.044551195653294795, 0.2662156807526833, 0.23448805186445965, 0.06166226726385172, -0.35404544158584694, -0.019634945032356136, 0.009212694047936097] |
710.2568 | Phase transition between non-extremal and extremal Reissner-Nordstr\"om
black holes | We discuss the phase transition between non-extremal and extremal
Reissner-Nordstr\"om black holes. This transition is considered as the
$T \to 0$ limit of the transition between the non-extremal and near-extremal
black holes.
We show that an evaporating process from non-extremal black hole to extremal
one is possible to occur, but its reverse process is not possible to occur
because of the presence of the maximum temperature.
Furthermore, it is shown that the Hawking-Page phase transition between small
and large black holes unlikely occurs in the AdS Reissner-Nordstr\"om black
holes.
| gr-qc | we discuss the phase transition between nonextremal and extremal reissnernordstrom black holes this transition is considered as the t to 0 limit of the transition between the nonextremal and nearextremal black holes we show that an evaporating process from nonextremal black hole to extremal one is possible to occur but its reverse process is not possible to occur because of the presence of the maximum temperature furthermore it is shown that the hawkingpage phase transition between small and large black holes unlikely occurs in the ads reissnernordstrom black holes | [['we', 'discuss', 'the', 'phase', 'transition', 'between', 'nonextremal', 'and', 'extremal', 'reissnernordstrom', 'black', 'holes', 'this', 'transition', 'is', 'considered', 'as', 'the', 't', 'to', '0', 'limit', 'of', 'the', 'transition', 'between', 'the', 'nonextremal', 'and', 'nearextremal', 'black', 'holes', 'we', 'show', 'that', 'an', 'evaporating', 'process', 'from', 'nonextremal', 'black', 'hole', 'to', 'extremal', 'one', 'is', 'possible', 'to', 'occur', 'but', 'its', 'reverse', 'process', 'is', 'not', 'possible', 'to', 'occur', 'because', 'of', 'the', 'presence', 'of', 'the', 'maximum', 'temperature', 'furthermore', 'it', 'is', 'shown', 'that', 'the', 'hawkingpage', 'phase', 'transition', 'between', 'small', 'and', 'large', 'black', 'holes', 'unlikely', 'occurs', 'in', 'the', 'ads', 'reissnernordstrom', 'black', 'holes']] | [-0.14184775192609705, 0.16191139703847368, -0.02450886404330141, 0.1735292232252106, -0.05331130457644382, -0.17872430082264074, 0.06366602034213838, 0.31789769329067863, -0.1644315838897496, -0.2705337038012535, 0.10568617869644646, -0.3801480287141847, -0.1374726849241873, 0.14128341178378362, -0.057062251231727305, 0.025707027183589262, -0.057423912250342664, 0.052424586765216975, -0.1301225039040607, -0.1964174805292755, 0.38453995101572425, 0.08097531555450699, 0.2507894018565545, 0.05860626038812687, 0.07586610159219316, -0.040066595299148494, 0.14922297351962227, 0.0450351332298616, -0.18881494576569902, -0.0400906315811104, 0.26932784884623934, 0.15265503303367603, 0.12828688838341262, -0.37833400016252916, -0.1879080967098642, 0.13437650625311423, 0.15820910541597083, 0.20122219931878402, -0.1173751504066285, -0.2428379233591677, 0.09798180659332972, -0.219384872072031, -0.13179710391762384, -0.027583765169459113, 0.12408286029619447, -0.0923421842077475, -0.2088562974319113, 0.15793222904707607, 0.1689979060647193, -0.17394238110799132, -0.08814363376096183, 0.0099246883869506, -0.13106046627495396, 0.13643021722261406, 0.2170474337030652, 0.02999933200543014, 0.20217409830414848, -0.07069740134416923, -0.10121097101756696, 0.3196095014514213, -0.016536778812244367, -0.09774189607732081, 0.2074449056278119, -0.3529087809866734, -0.06773030782495154, 0.15983012860661813, 0.12735725933649275, 0.2992742929785523, -0.10549225098338355, 0.1315322796679416, 0.05408577327982763, 0.15790892374607618, 0.166545866277027, 0.04874862700156617, 0.43861082816768565, 0.11940758584820654, 0.022364102102544033, 0.25909613600272813, -0.051478495418481277, -0.11736097763255866, -0.30319129727948246, -0.13912710506113224, -0.18477408985575933, 0.11207402329855949, -0.20192745654909802, -0.23640065834945162, 0.23719217657540623, 0.15500293747950974, 0.21380333385817454, -0.04466650717672002, 0.17436816142378192, 0.09044589553148684, -0.018386433895133183, 0.12191389912341753, 0.39305360490728297, 0.10831899160330885, 0.16840533630692223, -0.2417424408525354, -0.05947750759195913, 0.09829945713700203] |
710.2569 | Graphical Representation of SUSY and Application to QFT | We present a graphical representation of the supersymmetry and the graphical
calculation. Calculation is demonstrated for 4D Wess-Zumino model and for Super
QED. The chiral operators are graphically expressed in an illuminating way. The
tedious part of SUSY calculation, due to manipulating chiral suffixes, reduces
considerably. The application is diverse.
| hep-th | we present a graphical representation of the supersymmetry and the graphical calculation calculation is demonstrated for 4d wesszumino model and for super qed the chiral operators are graphically expressed in an illuminating way the tedious part of susy calculation due to manipulating chiral suffixes reduces considerably the application is diverse | [['we', 'present', 'a', 'graphical', 'representation', 'of', 'the', 'supersymmetry', 'and', 'the', 'graphical', 'calculation', 'calculation', 'is', 'demonstrated', 'for', '4d', 'wesszumino', 'model', 'and', 'for', 'super', 'qed', 'the', 'chiral', 'operators', 'are', 'graphically', 'expressed', 'in', 'an', 'illuminating', 'way', 'the', 'tedious', 'part', 'of', 'susy', 'calculation', 'due', 'to', 'manipulating', 'chiral', 'suffixes', 'reduces', 'considerably', 'the', 'application', 'is', 'diverse']] | [-0.09936330527067185, 0.14235268780292246, -0.019800668731331825, 0.10050067748408764, -0.12004594497848302, -0.12880937016569077, -0.04644941339734942, 0.36623986646533013, -0.17948531076312066, -0.3068831600365229, 0.05245054904138669, -0.24533631490543484, -0.20594964813441038, 0.11969588933046907, -0.050621609403751794, 0.059272349271923305, 0.037954087778925893, 0.021948895929381252, -0.08723930635489524, -0.18528672096319496, 0.24753599585965275, 0.031368480939418075, 0.24705312078818678, 0.09734716115519404, 0.06368945222347974, 0.04920867134816945, -0.06639917492866516, -0.0704655883833766, -0.053584695123136045, 0.1673459798283875, 0.25638698451220987, 0.08193852808326482, 0.13609142385423184, -0.4516027381271124, -0.18004109626635909, 0.02388787642121315, 0.19170216624625028, 0.17198631739243864, -0.05785070342943072, -0.30423876284621654, 0.06694560582982376, -0.22258760899305344, -0.14480736795812846, -0.17183445658534766, -0.001289389245212078, -0.17286089772358537, -0.3083396804332733, 0.0309667731449008, -0.0022446303255856037, 0.09264025127515196, -0.022551416652277112, -0.1047925419267267, -0.04918920811265707, 0.08596518098376692, 0.06412512800423428, 0.012015395248308778, 0.13221199278719722, -0.21936353034805506, -0.13719974741339683, 0.43764547258615494, 0.0015311488695442677, -0.24318954354006564, 0.13896191537380218, -0.07845909189432859, -0.16508547821082176, 0.09814446359872818, 0.09027813849505037, 0.1494677524920553, -0.1625246087834239, 0.20345612442819402, -0.001447108401916921, 0.13070033214520663, 0.08740734803490341, 0.020139627810567617, 0.21115609989035874, 0.17394438773859291, 0.0017052464373409747, 0.20434125058352948, 0.031283824210986494, -0.11793587386608123, -0.42606967225670817, -0.16801976359449328, -0.17302801685407757, -0.006559283025562763, -0.13336987387330737, -0.18105603305622936, 0.40746719360351563, 0.14249487965134905, 0.1558963131904602, 0.0647138405404985, 0.27209117635618896, 0.18675288024358452, 0.11533892516046762, 0.00873711947351694, 0.18328158909454942, 0.15746780328452586, 0.1014382435567677, -0.23468700769823045, -0.011791618973948061, 0.13828343650326133] |
710.257 | The separability of tripartite Gaussian state with amplification and
amplitude damping | Tripartite three mode Gaussian state undergoes parametric amplification and
amplitude damping as well as thermal noise is studied. In the case of a state
totally symmetrically interacting with the environment, the time dependent
correlation matrix of the state in evolution is given. The conditions for fully
separability and fully entanglement of the final tripartite three mode Gaussian
state are worked out.
| quant-ph | tripartite three mode gaussian state undergoes parametric amplification and amplitude damping as well as thermal noise is studied in the case of a state totally symmetrically interacting with the environment the time dependent correlation matrix of the state in evolution is given the conditions for fully separability and fully entanglement of the final tripartite three mode gaussian state are worked out | [['tripartite', 'three', 'mode', 'gaussian', 'state', 'undergoes', 'parametric', 'amplification', 'and', 'amplitude', 'damping', 'as', 'well', 'as', 'thermal', 'noise', 'is', 'studied', 'in', 'the', 'case', 'of', 'a', 'state', 'totally', 'symmetrically', 'interacting', 'with', 'the', 'environment', 'the', 'time', 'dependent', 'correlation', 'matrix', 'of', 'the', 'state', 'in', 'evolution', 'is', 'given', 'the', 'conditions', 'for', 'fully', 'separability', 'and', 'fully', 'entanglement', 'of', 'the', 'final', 'tripartite', 'three', 'mode', 'gaussian', 'state', 'are', 'worked', 'out']] | [-0.16279623244476857, 0.225353603083335, -0.07783114470419336, 0.020514059309908725, 0.019059763950311014, -0.17955823718249553, -0.009369325366054402, 0.36234017504287547, -0.23532141192403974, -0.22970715944166678, 0.12416155538884312, -0.2657338288597396, -0.07997594018787389, 0.11245793968316961, 0.05785143714337075, 0.10495348517462368, 0.05968798724476431, 0.0837820360864528, -0.0282216377739535, -0.22619464033909265, 0.374357617505994, 0.036296039521999536, 0.32825077021280763, -0.02957140290957005, 0.09853521850509722, 0.02528546480440485, 0.017611032199175633, -0.02526086145156964, -0.0399986133895448, -0.07510864161733599, 0.2330609341533702, 0.10177556431440056, 0.24781807705943212, -0.38628464241008287, -0.2025036599609207, 0.1071242738026576, 0.11952278052349805, 0.14403061422740765, 0.020315775067591278, -0.3245044063860703, -0.06534860520547286, -0.1818075841140063, -0.12143699891987395, -0.07650367305308703, 0.0004590518589391083, -0.06823703794755408, -0.2961788673534012, 0.18348119352928927, 0.09456711659612531, 0.010147794516238033, -0.038608795833453294, -0.09243473453355618, -0.0669706381865029, 0.11264820925063133, -0.06327304586798685, -0.0367489730649185, 0.1503256930068868, -0.1415336011741005, -0.10528008271768292, 0.31189651614661923, -0.1154670972590808, -0.2420262088159435, 0.17125736818587806, -0.14765300491794212, -0.07193342279490145, 0.12039068008421874, 0.12343429558773021, 0.07988483429748992, -0.18155540484690763, 0.02646251115757117, 0.012334717651371096, 0.17370519514928465, 0.050987519434515814, 0.10450703978584316, 0.1594368174183564, 0.1414361035481828, 0.03430762151866907, 0.2559768262817372, -0.08263553283368161, -0.17991599875700767, -0.3229395627792253, -0.1237072102023197, -0.2176972216359706, 0.06017802870969792, -0.047540149334188334, -0.1784442096612737, 0.4400032543745197, 0.042533895535180805, 0.16171164778595576, 0.014856515937011506, 0.27649092226915184, 0.1526913551850336, -0.03979633088208369, 0.07963358322311131, 0.2858003158061231, 0.22193342245748784, 0.07804583640555378, -0.2553610203970895, 0.07512467639276484, -0.04182749627860355] |
710.2571 | Rigidity of graph products of abelian groups | We show that if $G$ is a group and $G$ has a graph-product decomposition with
finitely-generated abelian vertex groups, then $G$ has two canonical
decompositions as a graph product of groups: a unique decomposition in which
each vertex group is a directly-indecomposable cyclic group, and a unique
decomposition in which each vertex group is a finitely-generated abelian group
and the graph satisfies the $T_0$ property. Our results build on results by
Droms, Laurence and Radcliffe.
| math.GR | we show that if g is a group and g has a graphproduct decomposition with finitelygenerated abelian vertex groups then g has two canonical decompositions as a graph product of groups a unique decomposition in which each vertex group is a directlyindecomposable cyclic group and a unique decomposition in which each vertex group is a finitelygenerated abelian group and the graph satisfies the t_0 property our results build on results by droms laurence and radcliffe | [['we', 'show', 'that', 'if', 'g', 'is', 'a', 'group', 'and', 'g', 'has', 'a', 'graphproduct', 'decomposition', 'with', 'finitelygenerated', 'abelian', 'vertex', 'groups', 'then', 'g', 'has', 'two', 'canonical', 'decompositions', 'as', 'a', 'graph', 'product', 'of', 'groups', 'a', 'unique', 'decomposition', 'in', 'which', 'each', 'vertex', 'group', 'is', 'a', 'directlyindecomposable', 'cyclic', 'group', 'and', 'a', 'unique', 'decomposition', 'in', 'which', 'each', 'vertex', 'group', 'is', 'a', 'finitelygenerated', 'abelian', 'group', 'and', 'the', 'graph', 'satisfies', 'the', 't_0', 'property', 'our', 'results', 'build', 'on', 'results', 'by', 'droms', 'laurence', 'and', 'radcliffe']] | [-0.17387769210177498, 0.11217718370057442, -0.1942004468040289, -0.028263889242127235, -0.16758469947789972, -0.13162521686329431, 0.023040923365467304, 0.41765401525913765, -0.3085153576590725, -0.20027718898160635, 0.1312373293315161, -0.2716481376036599, -0.1490167824400438, 0.13040653925791784, -0.097264619531563, -0.11133039367032817, 0.11930395888063956, 0.18592646534277782, -0.05786102187719096, -0.22480180057637217, 0.3472242403171352, -0.08494805424659815, 0.23559751498789802, 0.023267012328614254, 0.17099503115939632, 0.03767952073768184, -0.023465402666605205, 0.0751656026931832, -0.12829053047401406, 0.05176710835783868, 0.2711880755094761, 0.08220232000599641, 0.27264228948970903, -0.29099054750357123, -0.15853259673442793, 0.20409042733671093, 0.0781942166992136, -0.019686361161262, -0.0693217127008137, -0.2367901020507152, 0.16400642154680886, -0.22564614048177326, -0.07467961575005304, -0.021017502552854853, 0.14321974770644227, -0.04174515851018195, -0.2779027669615037, -0.05889114147882808, 0.04958272599489302, 0.05329548684578087, 0.016102099621265725, -0.1303693036599135, -0.09199558396358043, 0.1240395269784573, -0.07416492141468602, 0.09311454560028741, 0.08280120321197083, -0.08354586393043802, -0.16606283331497548, 0.431722725678638, -0.09336185344570391, -0.16564380629239855, 0.12978902633452938, -0.15952197537203697, -0.23630470944870566, 0.08599681632492591, 0.039928086806793474, 0.12084036023431532, -0.063107845996431, 0.1916539737973614, -0.2133305523091474, 0.08869525228903906, 0.02460271042041682, -0.042892081782574185, 0.06816284220061593, 0.12033418532322489, 0.15947228559368365, 0.11769803103084701, 0.07438455289544386, 0.11270204420528702, -0.3136661787316002, -0.1662656879178374, -0.14875115853155385, 0.09891437162720673, -0.14869408922291966, -0.17158421124583362, 0.4655917937791831, 0.004807406369395353, 0.13329377450753707, 0.07960505029375388, 0.19930802811742634, 0.04359864048987023, 0.11845350692778625, 0.14285686262883246, 0.03868951788172126, 0.2733743917354307, -0.1520115734593993, -0.17053166956238047, -0.0269018848067955, 0.2408954371018587] |
710.2572 | Flow of a non-Newtonian fluids on a flat plate: II. heat transfer | This paper has been withdrawn by the authors as requested by the journal.
| math-ph math.MP | this paper has been withdrawn by the authors as requested by the journal | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'as', 'requested', 'by', 'the', 'journal']] | [-0.051849561815078445, -0.0056348205902255494, -0.07618304599936192, -0.1004991584833568, -0.1393480429855677, -0.049276651814579964, 0.04166958718381535, 0.2856891883107332, -0.2531938112627428, -0.44801925466610837, 0.13133096007200387, -0.2939828304717174, -0.14337604048733527, 0.06278734553891879, -0.3007121467246459, 0.12294356983441573, -0.0004248587557902703, -0.02029255634317031, 0.021162373801836602, -0.4277529940009117, 0.35447068684376204, 0.22486130377421013, 0.26011213559943897, 0.168812705275531, -0.01888717761119971, -0.03282204700204042, -0.2058954362112742, 0.06288481446412894, -0.18437307299329683, 0.09788784248611102, 0.2766952377099257, 0.0949116730883431, 0.49358691389744097, -0.3823587332780545, -0.2640858286848435, 0.04187423033783069, 0.1913424741763335, 0.09000880213884208, -0.068128427848793, -0.39378876697558624, 0.22539102744597656, -0.36977073091727036, -0.084314132324205, 0.02727558033970686, 0.16379079065070704, -0.01941175300341386, -0.024764987711723033, 0.03804770534714827, 0.13610507347262824, 0.20174405437249404, 0.08285701389496143, -0.19688050271585011, 0.05356425104232935, 0.1815954936811557, 0.21368432847353128, 0.1282774697129543, 0.01906768433176554, -0.0631710620274624, -0.1629671689409476, 0.42775138410238117, 0.04760090018121096, -0.1845845439686225, 0.057354614711724795, -0.0030914323690992137, -0.12012008749521695, 0.08806569673694097, 0.14324752807330626, 0.03413633930568512, -0.30875479917113596, 0.2414826431956429, -0.14468348527757022, 0.12076951047548881, 0.26639100837592894, -0.07785697453297101, 0.08156195741433364, 0.09967913077427791, -0.047328426072803825, 0.1920860493555665, 0.032444086498939075, 0.05385962759072964, -0.19804803625895426, -0.1725652296669208, -0.33662934658619076, 0.07478802708479074, 0.24336573825432703, -0.01866327140193719, 0.4570668362654172, 0.10169668065813872, 0.10147862766797726, -0.15907040009131798, 0.3282720475242688, 0.19203896002055934, 0.07335567904206422, 0.04264881605139145, 0.2931607769658932, 0.061987335614573494, 0.30691137078862923, -0.0228713398369459, 0.2759571803303865, 0.21627653848666412] |
710.2573 | On the automorphisms of a graph product of abelian groups | We study the automorphisms of a graph product of finitely-generated abelian
groups W. More precisely, we study a natural subgroup Aut* W of Aut W, with
Aut* W = Aut W whenever vertex groups are finite and in a number of other
cases. We prove a number of structure results, including a semi-direct product
decomposition of Aut* W in which one of the factors is Inn W. We also give a
number of applications, some of which are geometric in nature.
| math.GR | we study the automorphisms of a graph product of finitelygenerated abelian groups w more precisely we study a natural subgroup aut w of aut w with aut w aut w whenever vertex groups are finite and in a number of other cases we prove a number of structure results including a semidirect product decomposition of aut w in which one of the factors is inn w we also give a number of applications some of which are geometric in nature | [['we', 'study', 'the', 'automorphisms', 'of', 'a', 'graph', 'product', 'of', 'finitelygenerated', 'abelian', 'groups', 'w', 'more', 'precisely', 'we', 'study', 'a', 'natural', 'subgroup', 'aut', 'w', 'of', 'aut', 'w', 'with', 'aut', 'w', 'aut', 'w', 'whenever', 'vertex', 'groups', 'are', 'finite', 'and', 'in', 'a', 'number', 'of', 'other', 'cases', 'we', 'prove', 'a', 'number', 'of', 'structure', 'results', 'including', 'a', 'semidirect', 'product', 'decomposition', 'of', 'aut', 'w', 'in', 'which', 'one', 'of', 'the', 'factors', 'is', 'inn', 'w', 'we', 'also', 'give', 'a', 'number', 'of', 'applications', 'some', 'of', 'which', 'are', 'geometric', 'in', 'nature']] | [-0.19165766213991448, 0.15873657859046944, -0.06278044250793754, -0.017615924838173667, -0.10616467780782841, -0.12263090152991936, 0.030124583560973407, 0.39804914803244174, -0.3418706958240364, -0.23775117257609962, 0.10908242032310227, -0.2791918602772057, -0.1036795993873966, 0.23417536881752313, -0.08311107626650482, -0.05291586839593947, 0.09468595098587684, 0.14402719286154025, -0.06335760744696017, -0.27355540680619017, 0.3657508843578398, -0.1097294007660821, 0.20678523944225163, -0.00034806800103979183, 0.08739922029199079, 0.00889596191700548, -0.06661871159594739, -0.032953728690176834, -0.14980206007603555, 0.07628536540141795, 0.24710946017876267, 0.06793456539453473, 0.2534541895176517, -0.2845757799455896, -0.1357438944571186, 0.2089060048107058, 0.07375312226213282, 0.00576758305542171, -0.07418185441729293, -0.23976534884423018, 0.12716502629918977, -0.25671454769326374, -0.09706214817706496, -0.0022511904942803087, 0.13507491326890886, -0.0026772023004014043, -0.2549197566557268, -0.011625573682613322, 0.07760927902418188, 0.04358761252369732, 0.027848524846194777, -0.18331965836696326, -0.0793456899584271, 0.08232784987194464, -0.014072467990627047, 0.03332379212079104, 0.08591811140067876, -0.1251947687007487, -0.13520283212419598, 0.4512420888058841, -0.07883016917621717, -0.20392913767136633, 0.1851141719147563, -0.1963272845488973, -0.2258959555765614, 0.10225466700503602, 0.13614219463197513, 0.10947067738161423, -0.02439060753167723, 0.21520674331040937, -0.1634572133072652, 0.06170814601937309, 0.0695674845483154, 0.05224775254027918, 0.010785838030278683, 0.12802864961558952, 0.08786696457973449, 0.14820584468907327, 0.03187369247316383, 0.10532591687515377, -0.378053165320307, -0.26149834686657414, -0.10811540689319372, 0.14693581761966926, -0.08924801493976701, -0.16192885954515077, 0.43515781754394994, 0.011836235166992993, 0.17356965460348875, 0.0166848688502796, 0.13469642951968125, 0.03964612742420286, 0.012757401657290756, 0.07930588368908502, 0.04673008849676989, 0.24099625837989153, -0.08266104133799672, -0.1446872108441312, -0.033610421160119586, 0.16785251294495537] |
710.2574 | A Comparison Theorem and A Sharp Bound via the Ricci Flow | We prove a comparison theorem for the compact surfaces with negative Euler
characteristic via the Ricci flow.
| math.DG math.AP | we prove a comparison theorem for the compact surfaces with negative euler characteristic via the ricci flow | [['we', 'prove', 'a', 'comparison', 'theorem', 'for', 'the', 'compact', 'surfaces', 'with', 'negative', 'euler', 'characteristic', 'via', 'the', 'ricci', 'flow']] | [-0.21107274047372973, 0.0600630516624626, -0.19132035343414722, 0.11347092249814202, -0.11353965563809171, -0.19982262895278194, -0.11809201275601107, 0.31849457192070346, -0.2616009953267434, -0.17823426808942766, 0.11045698665411156, -0.2427311328047996, -0.10441640567253618, 0.2718716169543126, -0.058241618687615675, -0.004980612874907606, 0.09213391976321444, 0.060741192496874756, -0.08212703548590927, -0.19153008295003981, 0.49984817820436817, -0.0959106850273469, 0.24468772354371407, 0.17084140210028956, 0.17927231551969752, -0.04421361424508231, -0.007496267064091037, 0.07956136280999464, -0.23970958594102687, 0.11959586095284014, 0.21490324674831593, -0.04986343594432315, 0.20391041873132482, -0.37853054066791253, -0.2708737876485376, 0.16326604427441077, 0.04764208457816173, 0.055389407200410086, -0.11368418776649325, -0.27564417877618, 0.18320186606690506, -0.09209310512661058, -0.20153658119071385, -0.05584657800329082, -0.013678178629454444, 0.0723276756813421, -0.20099810992970185, 0.08474521967924803, 0.14853964603560812, 0.12336508376414285, -0.10543166391332359, -0.08442545923240044, -0.044480398132958836, 0.03322573430726633, 0.07013281467644607, -0.0038263879387694247, 0.07522862834636779, -0.08952467603718534, -0.06755075044929981, 0.2920242118484834, -0.23498635224121459, -0.2747724910869318, 0.15031276730930104, -0.08685446842847501, -0.06627885005710756, 0.1358437087825116, 0.16968021114521167, 0.2451612603138475, 0.0221749113406986, 0.058982780531925315, -0.09884471577756546, 0.053632091730833054, 0.13866995691376574, -0.08541165204609141, 0.14268434595535784, 0.07426393919569604, 0.17369477330323527, 0.1643752122489626, -0.05008561722934246, -0.07092572650050416, -0.36128989475614887, -0.3387993694118717, -0.1569392014952267, 0.2016579405788113, -0.1825648636338027, -0.1718294766238507, 0.3589286227874896, -0.06912812176982269, 0.1783837314475985, 0.25702613838674393, 0.2865343727171421, 0.11833753884660408, 0.01547172331415555, 0.19984556312727578, 0.17560321596615455, 0.2621017175123972, 0.11819367943441167, -0.15743415561669014, -0.03693230159799842, 0.23067173523390117] |
710.2575 | Scattering of a Klein-Gordon particle by a Hulth\'en potential | The Klein-Gordon equation in the presence of a spatially one-dimensional
Hulth\'en potential is solved exactly and the scattering solutions are obtained
in terms of hypergeometric functions. The transmission coefficient is derived
by the matching conditions on the wavefunctions and the condition for the
existence of transmission resonances are investigated. It is shown how the
zero-reflection condition depends on the shape of the potential.
| quant-ph | the kleingordon equation in the presence of a spatially onedimensional hulthen potential is solved exactly and the scattering solutions are obtained in terms of hypergeometric functions the transmission coefficient is derived by the matching conditions on the wavefunctions and the condition for the existence of transmission resonances are investigated it is shown how the zeroreflection condition depends on the shape of the potential | [['the', 'kleingordon', 'equation', 'in', 'the', 'presence', 'of', 'a', 'spatially', 'onedimensional', 'hulthen', 'potential', 'is', 'solved', 'exactly', 'and', 'the', 'scattering', 'solutions', 'are', 'obtained', 'in', 'terms', 'of', 'hypergeometric', 'functions', 'the', 'transmission', 'coefficient', 'is', 'derived', 'by', 'the', 'matching', 'conditions', 'on', 'the', 'wavefunctions', 'and', 'the', 'condition', 'for', 'the', 'existence', 'of', 'transmission', 'resonances', 'are', 'investigated', 'it', 'is', 'shown', 'how', 'the', 'zeroreflection', 'condition', 'depends', 'on', 'the', 'shape', 'of', 'the', 'potential']] | [-0.19070301136733697, 0.0744714641367041, -0.06713879123211854, 0.06364436672135655, -0.022816007199238927, -0.1459142068910989, -0.04548247560991773, 0.3286296163818666, -0.24512061290442944, -0.24570783836737511, 0.10609759672337936, -0.29141009801496115, -0.17071729308615127, 0.18078053284377332, 0.0196849386991253, 0.07917594626575472, 0.04303467211993559, 0.07502124925690984, -0.05883779440311685, -0.25995100670981974, 0.37731721867171547, 0.023982408382589856, 0.2747800159489825, 0.13575731274775332, 0.07619623013491196, 0.03444759738409803, 0.023496452977673873, -0.03896577280783464, -0.15629744052236516, 0.06722197378616011, 0.15589803976139852, 0.07054915484632292, 0.197791574293718, -0.39252966172283604, -0.2200246977191123, 0.06701220493645423, 0.16436712732095093, 0.08578108092917809, -0.042565115568568075, -0.3035531442701107, 0.041262485552579165, -0.06632910219449846, -0.21152067968680982, -0.032023564564980685, -0.008068558131714188, 0.08460216306238658, -0.30054550399146385, 0.12321743730913907, -0.01334781510134538, -0.014011916364469225, -0.16136945021294413, -0.09334812721326238, -0.040052932620580704, 0.07840576518090471, 0.01510953306338735, -0.058534853733218616, 0.06037151381846458, -0.1670773512949901, -0.0435965108825633, 0.4071093070512963, -0.060582289442656534, -0.3154285616049218, 0.1155070974085007, -0.14500560881274324, -0.01811571480588071, 0.13092612816641727, 0.11357327894352022, 0.14288484841762555, -0.19047952546841568, 0.14591191309718562, -0.05839251850857326, 0.11848748593160602, 0.13234429160458228, 0.018006369338503907, 0.1470013360921589, 0.08051154685635416, 0.045305962474288655, 0.14180241462345872, -0.056452629289456775, -0.11665633337069599, -0.3151103939328875, -0.09158077232894443, -0.2181186837369173, 0.012025190591220819, -0.08333661527666707, -0.17635770371906268, 0.4274330787833721, 0.06824923565404283, 0.15574514578347878, 0.01971161999695358, 0.24649221145562708, 0.2802798054402783, 0.03690322849249083, 0.035505290194931954, 0.25493134651333094, 0.18628043530967145, 0.09182343296780592, -0.28769893557690673, 0.05807904418676146, 0.08307313832217857] |
710.2576 | Transmission resonances for a Dirac particle in a one-dimensional
Hulth\'en potential | We have solved exactly the two-component Dirac equation in the presence of a
spatially one-dimensional Hulth\'en potential, and presented the Dirac spinors
of scattering states in terms of hypergeometric functions. We have calculated
the reflection and transmission coefficients by the matching conditions on the
wavefunctions, and investigated the condition for the existence of transmission
resonances. Furthermore, we have demonstrated how the transmission-resonance
condition depends on the shape of the potential.
| math-ph math.MP nucl-th quant-ph | we have solved exactly the twocomponent dirac equation in the presence of a spatially onedimensional hulthen potential and presented the dirac spinors of scattering states in terms of hypergeometric functions we have calculated the reflection and transmission coefficients by the matching conditions on the wavefunctions and investigated the condition for the existence of transmission resonances furthermore we have demonstrated how the transmissionresonance condition depends on the shape of the potential | [['we', 'have', 'solved', 'exactly', 'the', 'twocomponent', 'dirac', 'equation', 'in', 'the', 'presence', 'of', 'a', 'spatially', 'onedimensional', 'hulthen', 'potential', 'and', 'presented', 'the', 'dirac', 'spinors', 'of', 'scattering', 'states', 'in', 'terms', 'of', 'hypergeometric', 'functions', 'we', 'have', 'calculated', 'the', 'reflection', 'and', 'transmission', 'coefficients', 'by', 'the', 'matching', 'conditions', 'on', 'the', 'wavefunctions', 'and', 'investigated', 'the', 'condition', 'for', 'the', 'existence', 'of', 'transmission', 'resonances', 'furthermore', 'we', 'have', 'demonstrated', 'how', 'the', 'transmissionresonance', 'condition', 'depends', 'on', 'the', 'shape', 'of', 'the', 'potential']] | [-0.18537219392432683, 0.0938358382537853, -0.0729324792822202, 0.04040539402352727, -0.015879236036857616, -0.1438439163831535, 0.008852862088225675, 0.35879703554446285, -0.2122895433365003, -0.2581416633573995, 0.05727215428782654, -0.2776229999338587, -0.1752187776433277, 0.14705229088987992, 0.045084819913018444, 0.09675091017118614, 0.02335813220428384, 0.03595386607491452, -0.09943985002304333, -0.2534617045219394, 0.40557253611800465, 0.010179422066911407, 0.2537043725774772, 0.14494575615432384, 0.08610131133995626, 0.05453573889436497, 0.03696485162726131, -0.046132922577469246, -0.15738155664471182, 0.0754583782838671, 0.16271069406977165, 0.03778661678180746, 0.17029207840264923, -0.4394567557003187, -0.21685879940733963, 0.06868985257502916, 0.17709254083287754, 0.0682644894130636, -0.07417621492219252, -0.3149975319730415, 0.02042021370911296, -0.10830213982557906, -0.2188893009679041, -0.06737061317983097, -0.028370982717614675, 0.04775037818952747, -0.24020150428016981, 0.1086877517240203, -0.006365787386354329, 0.017635674836734932, -0.15275782808337524, -0.12190140292480373, -0.058334379909101175, 0.07380485745902726, 0.002487260875278625, -0.11245695535309505, 0.043794999081317496, -0.14979270970840278, -0.0964528250278554, 0.4053192118560706, -0.08754601248580476, -0.3059426311241544, 0.12629058428000714, -0.15564224530902246, -0.05726982820509137, 0.10976970491363951, 0.15551563807884636, 0.12483375977076915, -0.15514982182640527, 0.12858300109181311, -0.08597410117964381, 0.0845296853757632, 0.14576613356399795, 0.030883823103014973, 0.16604349379549208, 0.06122937903780004, 0.02043302221885086, 0.1320080374893935, -0.09646315561553491, -0.09034955237681667, -0.3126637645173764, -0.132398610678164, -0.20386097838564782, 0.014618384152434874, -0.05730497243116522, -0.1842282570939025, 0.4770339016357194, 0.09309359801852185, 0.17619823543624819, -0.00339257700935654, 0.22707767798092918, 0.26868127216247545, 0.043121519350055336, 0.041724351761133774, 0.25580569360729144, 0.18178018613421507, 0.08709398174213002, -0.2945668206050776, 0.009070662302437468, 0.05581128342495556] |
710.2577 | Observation of anomalous Upsilon(1S)pi+pi- and Upsilon(2S)pi+pi-
production near the Upsilon(5S) resonance | We report the first observation of e+e- -> Upsilon(1S)pi+pi-,
Upsilon(2S)pi+pi-, and first evidence for e+e- -> Upsilon(3S)pi+pi-,
Upsilon(1S)K+K-, near the peak of the Upsilon(5S) resonance at sqrt{s}~10.87
GeV. The results are based on a data sample of 21.7 fb^-1 collected with the
Belle detector at the KEKB e+e- collider. Attributing the signals to the
Upsilon(5S) resonance, the partial widths Gamma(Upsilon(5S) -> Upsilon(1S)
pi+pi-) = 0.59 +- 0.04 (stat) +- 0.09 (syst) MeV and Gamma(Upsilon(5S) ->
Upsilon(2S) pi+pi-) = 0.85 +- 0.07 (stat) +- 0.16 (syst) MeV are obtained from
the observed cross sections. These values exceed by more than two orders of
magnitude the previously measured partial widths for dipion transitions between
lower Upsilon resonances.
| hep-ex | we report the first observation of ee upsilon1spipi upsilon2spipi and first evidence for ee upsilon3spipi upsilon1skk near the peak of the upsilon5s resonance at sqrts1087 gev the results are based on a data sample of 217 fb1 collected with the belle detector at the kekb ee collider attributing the signals to the upsilon5s resonance the partial widths gammaupsilon5s upsilon1s pipi 059 004 stat 009 syst mev and gammaupsilon5s upsilon2s pipi 085 007 stat 016 syst mev are obtained from the observed cross sections these values exceed by more than two orders of magnitude the previously measured partial widths for dipion transitions between lower upsilon resonances | [['we', 'report', 'the', 'first', 'observation', 'of', 'ee', 'upsilon1spipi', 'upsilon2spipi', 'and', 'first', 'evidence', 'for', 'ee', 'upsilon3spipi', 'upsilon1skk', 'near', 'the', 'peak', 'of', 'the', 'upsilon5s', 'resonance', 'at', 'sqrts1087', 'gev', 'the', 'results', 'are', 'based', 'on', 'a', 'data', 'sample', 'of', '217', 'fb1', 'collected', 'with', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'ee', 'collider', 'attributing', 'the', 'signals', 'to', 'the', 'upsilon5s', 'resonance', 'the', 'partial', 'widths', 'gammaupsilon5s', 'upsilon1s', 'pipi', '059', '004', 'stat', '009', 'syst', 'mev', 'and', 'gammaupsilon5s', 'upsilon2s', 'pipi', '085', '007', 'stat', '016', 'syst', 'mev', 'are', 'obtained', 'from', 'the', 'observed', 'cross', 'sections', 'these', 'values', 'exceed', 'by', 'more', 'than', 'two', 'orders', 'of', 'magnitude', 'the', 'previously', 'measured', 'partial', 'widths', 'for', 'dipion', 'transitions', 'between', 'lower', 'upsilon', 'resonances']] | [-0.07343612551472455, 0.16840934389591272, -0.0467196314199136, 0.10347213999525008, -0.002430775265628933, -0.09242502150430094, 0.07658304740204522, 0.3183840913479078, -0.09442771627512382, -0.3394051332782843, -0.07391634133948695, -0.5120068535503774, 0.13326570347394093, 0.19013873463044736, 0.12067678484991931, 0.15761954594523955, 0.1583911853630354, -0.04340364899264999, -0.07951308612130803, -0.1314390674337173, 0.17242718652918898, 0.051136812400925755, 0.29235491512509265, 0.14107025542877394, -0.022132368983083062, -0.02069090629263901, -0.00040623862849603783, -0.16166716216519328, -0.24344511131875882, 0.04998697744253654, 0.3072941740882574, 0.015497464800742225, 0.09618851439658516, -0.2196240521281454, 0.06838186412454943, 0.13800415609234779, 0.14863857044146792, -0.025656616370571723, 0.05437426226796227, -0.4640630531945441, 0.2051698918717148, -0.18092917849189868, -0.01567384816872159, 0.05388066830519255, 0.0375744794797392, -0.1322223262234342, -0.3412227914345884, 0.22162372949487058, -0.09715416099839282, 0.11742395445206526, -0.08213888220304605, -0.368744389753383, -0.06587721724155368, -0.10483663306931162, 0.04417124595308658, 0.10055172723708766, 0.18103771670122104, -0.014619115283620535, -0.23046244614490188, 0.34610529139748597, -0.08304875054872723, -0.025102258150438123, 0.07008411903810309, -0.28379942231009353, -0.09059231716097507, 0.29269109348222466, 0.23996866630888222, 0.03895844388199915, -0.21306535104603166, 0.014424493406106267, 0.03167585883344902, 0.2644050050397763, 0.13468507565281326, 0.10104979866986523, 0.17622320845464964, 0.17523257887004737, -0.01983471745440718, 0.012690083682767604, -0.21432587337717046, -0.013969669828541798, -0.4012731221051527, -0.04252096308259257, -0.021835276926176088, 0.1288296719690287, -0.034953084076111585, 0.017301810868453272, 0.3030230346421647, 0.05013792853027877, 0.40744782482633496, 0.022918189396288726, 0.25070198406557564, 0.15888143117806994, 0.018775704605239765, 0.07295949978216223, 0.3719895082240057, 0.22296917421217677, 0.1783740027936747, -0.26871922053166175, 0.03074457920571365, -0.03292660728226056] |
710.2578 | The Lightest Higgs Boson and Relic Neutralino in the MSSM with CP
Violation | In a minimal supersymmetric extension of the standard model (MSSM) with
explicit CP violation a mass of the lightest Higgs boson H_1 in the range 7
GeV} < M_{H_1} < 10 GeV is experimentally allowed by present accelerator
limits. In the same scenario a lightest neutralino as light as 2.9 GeV can be a
viable dark matter candidate, provided that a departure from the usual GUT
relation among gaugino masses is assumed.
| hep-ph | in a minimal supersymmetric extension of the standard model mssm with explicit cp violation a mass of the lightest higgs boson h_1 in the range 7 gev m_h_1 10 gev is experimentally allowed by present accelerator limits in the same scenario a lightest neutralino as light as 29 gev can be a viable dark matter candidate provided that a departure from the usual gut relation among gaugino masses is assumed | [['in', 'a', 'minimal', 'supersymmetric', 'extension', 'of', 'the', 'standard', 'model', 'mssm', 'with', 'explicit', 'cp', 'violation', 'a', 'mass', 'of', 'the', 'lightest', 'higgs', 'boson', 'h_1', 'in', 'the', 'range', '7', 'gev', 'm_h_1', '10', 'gev', 'is', 'experimentally', 'allowed', 'by', 'present', 'accelerator', 'limits', 'in', 'the', 'same', 'scenario', 'a', 'lightest', 'neutralino', 'as', 'light', 'as', '29', 'gev', 'can', 'be', 'a', 'viable', 'dark', 'matter', 'candidate', 'provided', 'that', 'a', 'departure', 'from', 'the', 'usual', 'gut', 'relation', 'among', 'gaugino', 'masses', 'is', 'assumed']] | [-0.08484341061973412, 0.3068218215767826, -0.030292049336380193, 0.24248763328817274, -0.10588735368634973, -0.21012556339348, 0.05714141147410763, 0.2864374034771962, -0.17102948125850942, -0.38120319795395646, 0.01243047375464812, -0.23603251016964868, 0.05770118960312435, 0.16000314807752147, 0.03538615122504, 0.07820113637883748, 0.03209017559087702, 0.025168050838900464, -0.04573513380850532, -0.21494224203218307, 0.2238901634035366, 0.017204869259148835, 0.15654196847629334, 0.09079862287534135, 0.04283236674964428, -0.06075557502917946, 0.06430495735257864, -0.178423904068768, -0.13386489835154083, 0.058928294256994765, 0.17676389004502976, 0.08507447391083198, 0.1063829060943265, -0.24204733983912904, -0.17499053009918758, 0.271660140289792, 0.17738872862953162, 0.014188804224665676, -0.11669923116319945, -0.32038685610251766, 0.10568389198077577, -0.28257903167977927, -0.11696778748051397, 0.03874034929488387, -0.06279708720477564, -0.18248594717255662, -0.33611672742824467, 0.14556228388100861, -0.13272530347374933, -0.010084294840427381, 0.004540274465190512, -0.16509259604915444, -0.11795671063342265, -0.10041314978817743, 0.1739015864524325, 0.007789604086428881, 0.2081864632533065, -0.16789733271247576, -0.16779780651309661, 0.4974518879183701, -0.14883050197469336, -0.15347066917124072, 0.1404360791867865, -0.13300867225043475, -0.1588789516993399, 0.14575793277139643, 0.12512818135853324, 0.061533786615888986, -0.21526551709643432, 0.2523534443029868, -0.1339400958802019, 0.22104347828509552, 0.07779304985223072, 0.02612307120247611, 0.3387050521959152, 0.24578330780246427, 0.08232465528749994, 0.022233299337260957, -0.06538275757006236, -0.07056324122739689, -0.48564693800040654, -0.12145115739798971, -0.06239350206617798, 0.05197526892464209, -0.10257396315989484, 0.008440422100414123, 0.38495961603309425, 0.11938030628620513, 0.2895074991908457, 0.03831878591861044, 0.29059614394126193, 0.019377464837660747, 0.10734090437846525, 0.014081648737192153, 0.3694566759879568, 0.13919742033218166, 0.12486414591382657, -0.14468345862613724, -0.09369407977376665, 0.04847934449623738] |
710.2579 | Baryons and the Chern-Simons term in holographic QCD with three flavors | We study dynamical baryons in the holographic QCD model of Sakai and Sugimoto
in the case of three flavors and with special interest in the construction of
the Chern-Simons (CS) term. The baryon classical solution in this model is
given by the BPST instanton, and we carry out the collective coordinate
quantization of the solution. The CS term should give rise to a first class
constraint which selects baryon states with right spins. However, the original
CS term written in terms of the CS 5-form does not work. We instead propose a
new CS term which is gauge invariant and is given as an integral over a six
dimensional space having as its boundary the original five dimensional
spacetime of the holographic model. Collective coordinate quantization using
our new CS term leads to correct baryon states and their mass formula.
| hep-th hep-ph | we study dynamical baryons in the holographic qcd model of sakai and sugimoto in the case of three flavors and with special interest in the construction of the chernsimons cs term the baryon classical solution in this model is given by the bpst instanton and we carry out the collective coordinate quantization of the solution the cs term should give rise to a first class constraint which selects baryon states with right spins however the original cs term written in terms of the cs 5form does not work we instead propose a new cs term which is gauge invariant and is given as an integral over a six dimensional space having as its boundary the original five dimensional spacetime of the holographic model collective coordinate quantization using our new cs term leads to correct baryon states and their mass formula | [['we', 'study', 'dynamical', 'baryons', 'in', 'the', 'holographic', 'qcd', 'model', 'of', 'sakai', 'and', 'sugimoto', 'in', 'the', 'case', 'of', 'three', 'flavors', 'and', 'with', 'special', 'interest', 'in', 'the', 'construction', 'of', 'the', 'chernsimons', 'cs', 'term', 'the', 'baryon', 'classical', 'solution', 'in', 'this', 'model', 'is', 'given', 'by', 'the', 'bpst', 'instanton', 'and', 'we', 'carry', 'out', 'the', 'collective', 'coordinate', 'quantization', 'of', 'the', 'solution', 'the', 'cs', 'term', 'should', 'give', 'rise', 'to', 'a', 'first', 'class', 'constraint', 'which', 'selects', 'baryon', 'states', 'with', 'right', 'spins', 'however', 'the', 'original', 'cs', 'term', 'written', 'in', 'terms', 'of', 'the', 'cs', '5form', 'does', 'not', 'work', 'we', 'instead', 'propose', 'a', 'new', 'cs', 'term', 'which', 'is', 'gauge', 'invariant', 'and', 'is', 'given', 'as', 'an', 'integral', 'over', 'a', 'six', 'dimensional', 'space', 'having', 'as', 'its', 'boundary', 'the', 'original', 'five', 'dimensional', 'spacetime', 'of', 'the', 'holographic', 'model', 'collective', 'coordinate', 'quantization', 'using', 'our', 'new', 'cs', 'term', 'leads', 'to', 'correct', 'baryon', 'states', 'and', 'their', 'mass', 'formula']] | [-0.13374366909265517, 0.12403618590001965, -0.07526144015469721, 0.029607922039992574, -0.08688410885099854, -0.13944484730932993, 0.036625740880845116, 0.2626155349026833, -0.1981985048349348, -0.2636397925338575, 0.06902252308791504, -0.2637315494357608, -0.1403360446382846, 0.05513408700769235, -0.059112740966624444, 0.014703679350454227, -0.008327059319708497, 0.09466439004255725, -0.10858611389662005, -0.26107737978787293, 0.3313577466011338, 0.0420215037518314, 0.2621894408034028, 0.033097017829173375, 0.13220161670386524, -0.01180293637527419, -0.053921170843698615, 0.014342219505384233, -0.09372403161001525, 0.09133721242043456, 0.206529499352577, 0.0981314494108249, 0.18328883071829166, -0.4085700014273503, -0.22898151658487872, 0.10593096510773259, 0.1671418196554961, 0.18027881059762357, -0.027633532143331, -0.27720416773476503, 0.03689319302793592, -0.20332183282090618, -0.12360621831862123, -0.12386011025269648, -0.013615914520674519, -0.06202309256602478, -0.28350891951870705, 0.09209301011370762, 0.03888711640839964, 0.0035954961952354226, -0.0934112276790464, -0.12482826254064483, -0.020709572268450365, 0.05941449257412127, 0.09980161052247111, 0.10036757288866544, 0.0685620683577976, -0.14645090840193525, -0.10043710855035377, 0.4202447272837162, -0.10115187388478912, -0.2430042655473309, 0.14001130172982812, -0.1079210377265034, -0.15090379881938654, 0.0847025102553224, 0.1144323709686952, 0.1479066939326003, -0.1528237855660596, 0.14574613151198718, -0.06794016959195558, 0.1369118169715096, 0.060209945359799476, 0.07736369264312089, 0.21258154197629275, 0.09249656103368449, 0.03769440566455679, 0.14562676566253815, -0.06889949678277064, -0.13957802712435036, -0.3617411659764392, -0.16879437928873814, -0.17265545551864697, 0.06751685495442611, -0.10545131873753105, -0.1512663592950308, 0.41219600636977705, 0.09210152631733633, 0.2126910587207281, 0.027690281023803567, 0.2611993976602597, 0.1334066460798827, 0.08487586242096898, 0.03579611320580755, 0.21549735464712805, 0.14404132028077063, 0.12041332349430636, -0.2603578180407307, -0.09157609549750174, 0.17532902461077485] |
710.258 | Thermodynamic Studies on Non Centrosymmetric Superconductors by AC
Calorimetry under High Pressures | We investigated the non centrosymmetric superconductors CePt$_3$Si and UIr by
the ac heat capacity measurement under pressures. We determined the pressure
phase diagrams of these compounds. In CePt$_3$Si, the N\'{e}el temperature
$T_{\rm N}$ = 2.2 K decreases with increasing pressure and becomes zero at the
critical pressure $P_{\rm AF}$ $\simeq$ 0.6 GPa. On the other hand, the
superconducting phase exists in a wider pressure region from ambient pressure
to $P_{\rm AF}$ $\simeq$ 1.5 GPa. The phase diagram of CePt$_3$Si is very
unique and has never been reported before for other heavy fermion
superconductors. In UIr, the heat capacity shows an anomaly at the Curie
temperature $T_{\rm C1}$ = 46 K at ambient pressure, and the heat capacity
anomaly shifts to lower temperatures with increasing pressure. The present
pressure dependence of $T_{\rm C1}$ was consistent with the previous studies by
the resistivity and magnetization measurements. Previous ac magnetic
susceptibility and resistivity measurements suggested the existence of three
ferromagnetic phases, FM1-3. $C_{\rm ac}$ shows a bending structure at 1.98,
2.21, and 2.40 GPa .The temperatures where these anomalies are observed are
close to the phase boundary of the FM3 phase.
| cond-mat.str-el cond-mat.supr-con | we investigated the non centrosymmetric superconductors cept_3si and uir by the ac heat capacity measurement under pressures we determined the pressure phase diagrams of these compounds in cept_3si the neel temperature t_rm n 22 k decreases with increasing pressure and becomes zero at the critical pressure p_rm af simeq 06 gpa on the other hand the superconducting phase exists in a wider pressure region from ambient pressure to p_rm af simeq 15 gpa the phase diagram of cept_3si is very unique and has never been reported before for other heavy fermion superconductors in uir the heat capacity shows an anomaly at the curie temperature t_rm c1 46 k at ambient pressure and the heat capacity anomaly shifts to lower temperatures with increasing pressure the present pressure dependence of t_rm c1 was consistent with the previous studies by the resistivity and magnetization measurements previous ac magnetic susceptibility and resistivity measurements suggested the existence of three ferromagnetic phases fm13 c_rm ac shows a bending structure at 198 221 and 240 gpa the temperatures where these anomalies are observed are close to the phase boundary of the fm3 phase | [['we', 'investigated', 'the', 'non', 'centrosymmetric', 'superconductors', 'cept_3si', 'and', 'uir', 'by', 'the', 'ac', 'heat', 'capacity', 'measurement', 'under', 'pressures', 'we', 'determined', 'the', 'pressure', 'phase', 'diagrams', 'of', 'these', 'compounds', 'in', 'cept_3si', 'the', 'neel', 'temperature', 't_rm', 'n', '22', 'k', 'decreases', 'with', 'increasing', 'pressure', 'and', 'becomes', 'zero', 'at', 'the', 'critical', 'pressure', 'p_rm', 'af', 'simeq', '06', 'gpa', 'on', 'the', 'other', 'hand', 'the', 'superconducting', 'phase', 'exists', 'in', 'a', 'wider', 'pressure', 'region', 'from', 'ambient', 'pressure', 'to', 'p_rm', 'af', 'simeq', '15', 'gpa', 'the', 'phase', 'diagram', 'of', 'cept_3si', 'is', 'very', 'unique', 'and', 'has', 'never', 'been', 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710.2581 | Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of
fidelity susceptibility | We study the critical properties of the Lipkin-Meshkov-Glick Model in terms
of the fidelity susceptibility. By using the Holstein-Primakoff transformation,
we obtain explicitly the critical exponent of the fidelity susceptibility
around the second-order quantum phase transition point. Our results provide a
rare analytical case for the fidelity susceptibility in describing the
universality class in quantum critical behavior. The different critical
exponents in two phases are non-trivial results, indicating the fidelity
susceptibility is not always extensive.
| quant-ph | we study the critical properties of the lipkinmeshkovglick model in terms of the fidelity susceptibility by using the holsteinprimakoff transformation we obtain explicitly the critical exponent of the fidelity susceptibility around the secondorder quantum phase transition point our results provide a rare analytical case for the fidelity susceptibility in describing the universality class in quantum critical behavior the different critical exponents in two phases are nontrivial results indicating the fidelity susceptibility is not always extensive | [['we', 'study', 'the', 'critical', 'properties', 'of', 'the', 'lipkinmeshkovglick', 'model', 'in', 'terms', 'of', 'the', 'fidelity', 'susceptibility', 'by', 'using', 'the', 'holsteinprimakoff', 'transformation', 'we', 'obtain', 'explicitly', 'the', 'critical', 'exponent', 'of', 'the', 'fidelity', 'susceptibility', 'around', 'the', 'secondorder', 'quantum', 'phase', 'transition', 'point', 'our', 'results', 'provide', 'a', 'rare', 'analytical', 'case', 'for', 'the', 'fidelity', 'susceptibility', 'in', 'describing', 'the', 'universality', 'class', 'in', 'quantum', 'critical', 'behavior', 'the', 'different', 'critical', 'exponents', 'in', 'two', 'phases', 'are', 'nontrivial', 'results', 'indicating', 'the', 'fidelity', 'susceptibility', 'is', 'not', 'always', 'extensive']] | [-0.19246589151521523, 0.16522038287172716, -0.057506061322055754, 0.0334575701955085, 0.036136030463967475, -0.1401784273671607, 0.11256481158857544, 0.3169741973731046, -0.1969773395607869, -0.2273628773788611, 0.07679504168840746, -0.338718796869119, -0.20750471596916517, 0.22229771243718763, 0.057412851291398205, 0.1591742773974935, -0.028740838778515656, 0.0973790986079257, -0.16226130823449542, -0.22703676901757716, 0.3178095654025674, -0.00435138249459366, 0.34206373368700344, 0.07966871544718743, 0.008745228182524442, -0.02279412461910397, 0.11558755912197133, 0.026416685053457817, -0.1909823604176442, 0.005830944247233371, 0.24560635157860816, 0.023031775578856467, 0.17628831478456655, -0.32675516727070014, -0.22465831523140273, 0.10197297332497934, 0.10306472492093842, 0.12537992088745037, -0.024056777101941408, -0.3066973148503651, 0.03942518175890048, -0.1365919115766883, -0.15637715698530277, -0.18939058805893486, -0.06284098997712136, -0.001971021213879188, -0.26584055630800624, 0.18432310110283046, 0.060990169818202655, 0.12066051023818242, -0.05241938283046087, -0.056923678231736025, 0.01847974044891695, 0.1687936176918447, 0.02282540131515513, 0.03703899729686479, 0.10960269864648581, -0.1850887619269391, -0.13930043450323865, 0.33362792156636717, -0.0244883230375126, -0.15465655262271563, 0.14220238265891869, -0.2187556424769961, -0.13049683914209406, 0.12695409753049414, 0.11442935563003023, 0.08341701128830513, -0.1417135740071535, 0.0510547674074769, 0.019088142461453874, 0.17951730986630235, -0.036425018552690744, 0.056579051800072194, 0.21120841874430576, 0.11719608956947923, -0.020921711437404157, 0.27650314778710405, -0.055358187835663555, -0.2081272124002377, -0.3251296762128671, -0.1812607346723477, -0.23528819508850574, 0.07386879695288372, -0.17021309718489647, -0.15703201930969954, 0.4521776074171066, 0.20325279023963957, 0.19187426822260023, 0.05442441697542866, 0.23464907428249718, 0.18643487960255395, -0.0015508065124352772, 0.08016999480624994, 0.25347566618273654, 0.11671815200708807, 0.10933340538293124, -0.30936966873084504, 0.07593327856933077, 0.10957390658557414] |
710.2582 | Poisson statistics of eigenvalues in the hierarchical Anderson model | We study the eigenvalue statistics for the hieracharchial Anderson model of
Molchanov. We prove Poisson fluctuations at arbitrary disorder, when the the
model has spectral dimension d<1. The proof is based on Minami's technique and
we give an elementary exposition of the probabilistic arguments.
| math-ph math.MP | we study the eigenvalue statistics for the hieracharchial anderson model of molchanov we prove poisson fluctuations at arbitrary disorder when the the model has spectral dimension d1 the proof is based on minamis technique and we give an elementary exposition of the probabilistic arguments | [['we', 'study', 'the', 'eigenvalue', 'statistics', 'for', 'the', 'hieracharchial', 'anderson', 'model', 'of', 'molchanov', 'we', 'prove', 'poisson', 'fluctuations', 'at', 'arbitrary', 'disorder', 'when', 'the', 'the', 'model', 'has', 'spectral', 'dimension', 'd1', 'the', 'proof', 'is', 'based', 'on', 'minamis', 'technique', 'and', 'we', 'give', 'an', 'elementary', 'exposition', 'of', 'the', 'probabilistic', 'arguments']] | [-0.0888395588628428, 0.08513367184753216, -0.1628329927903102, 0.12005650842573147, -0.03500877254707522, -0.17020579648399076, 0.013297598798174498, 0.31760242139530737, -0.1983655893005604, -0.23482961069012798, 0.09522383942723621, -0.2787888660420512, -0.17550748826118273, 0.13922713810664622, -0.06474734836279653, 0.023216595786602, 0.0026858146627281986, 0.06542003834836704, -0.03186699077432845, -0.235496015981013, 0.34904781228667775, 0.03887058824820574, 0.27696232657966224, 0.11676055877361187, 0.0902999505443975, 0.10370229246354727, -0.05380964780572888, -0.047481631445915023, -0.21812667782136866, 0.12596038570844156, 0.1737667403595392, 0.03874032718107798, 0.25162230258764223, -0.38302041603208975, -0.183430080052985, 0.1222569372418315, 0.12161255189282603, 0.17369110767491336, 0.02241417105298836, -0.29575575905483825, 0.09015498816057346, -0.12702131929785707, -0.18992924205092496, -0.05945697780915125, 0.0033726781649991524, 0.007055277091472648, -0.30097467720855114, 0.0695554013039137, 0.19297574794049874, 0.13808031404001075, -0.043076745747469454, -0.11685510672802149, 0.045590761193442485, 0.03145895055346299, 0.008360919315194669, -0.06395952997534254, 0.0696087371622927, -0.04454022156464499, -0.13713406970681147, 0.30235003276056677, -0.04405130598650769, -0.20584427742937275, 0.14275623007330956, -0.1255112132165841, -0.17333734204429527, 0.08444521081536402, 0.12371045618512949, 0.10300563339707117, -0.0753645542971817, 0.19230334109729588, -0.08609255210518144, 0.1454772216993449, 0.010094549506902695, 0.006798438359658385, 0.10930601069920284, 0.16100903151578508, 0.08756365705021592, 0.17048959654950818, -0.08846157080450551, -0.07569601933666786, -0.3217900943357584, -0.14768525420926337, -0.26167121962752454, 0.1109122600363091, -0.14117883864842995, -0.2070949588750684, 0.4185753258508305, 0.18538427630136178, 0.16236988864405905, 0.1284819356122509, 0.24646780977762023, 0.21334155227685736, -0.06704234380578232, 0.04543238148353128, 0.1355885780473283, 0.1999991053152223, 0.0741849540472897, -0.1610074186762578, 0.004613299377609131, 0.21983073352901047] |
710.2583 | Martingales, the Efficient Market Hypothesis, and Spurious Stylized
Facts | The condition for stationary increments, not scaling, detemines long time
pair autocorrelations. An incorrect assumption of stationary increments
generates spurious stylized facts, fat tails and a Hurst exponent H_s=1/2, when
the increments are nonstationary, as they are in FX markets. The
nonstationarity arises from systematic uneveness in noise traders' behavior.
Spurious results arise mathematically from using a log increment with a
'sliding window'. We explain why a hard to beat market demands martingale
dynamics , and martingales with nonlinear variance generate nonstationary
increments. The nonstationarity is exhibited directly for Euro/Dollar FX data.
We observe that the Hurst exponent H_s generated by the using the sliding
window technique on a time series plays the same role as does Mandelbrot's
Joseph exponent. Finally, Mandelbrot originally assumed that the 'badly
behaved' second moment of cotton returns is due to fat tails, but that
nonconvergent behavior is instead direct evidence for nonstationary increments.
Summarizing, the evidence for scaling and fat tails as the basis for
econophysics and financial economics is provided neither by FX markets nor by
cotton price data.
| q-fin.ST physics.data-an physics.soc-ph | the condition for stationary increments not scaling detemines long time pair autocorrelations an incorrect assumption of stationary increments generates spurious stylized facts fat tails and a hurst exponent h_s12 when the increments are nonstationary as they are in fx markets the nonstationarity arises from systematic uneveness in noise traders behavior spurious results arise mathematically from using a log increment with a sliding window we explain why a hard to beat market demands martingale dynamics and martingales with nonlinear variance generate nonstationary increments the nonstationarity is exhibited directly for eurodollar fx data we observe that the hurst exponent h_s generated by the using the sliding window technique on a time series plays the same role as does mandelbrots joseph exponent finally mandelbrot originally assumed that the badly behaved second moment of cotton returns is due to fat tails but that nonconvergent behavior is instead direct evidence for nonstationary increments summarizing the evidence for scaling and fat tails as the basis for econophysics and financial economics is provided neither by fx markets nor by cotton price data | [['the', 'condition', 'for', 'stationary', 'increments', 'not', 'scaling', 'detemines', 'long', 'time', 'pair', 'autocorrelations', 'an', 'incorrect', 'assumption', 'of', 'stationary', 'increments', 'generates', 'spurious', 'stylized', 'facts', 'fat', 'tails', 'and', 'a', 'hurst', 'exponent', 'h_s12', 'when', 'the', 'increments', 'are', 'nonstationary', 'as', 'they', 'are', 'in', 'fx', 'markets', 'the', 'nonstationarity', 'arises', 'from', 'systematic', 'uneveness', 'in', 'noise', 'traders', 'behavior', 'spurious', 'results', 'arise', 'mathematically', 'from', 'using', 'a', 'log', 'increment', 'with', 'a', 'sliding', 'window', 'we', 'explain', 'why', 'a', 'hard', 'to', 'beat', 'market', 'demands', 'martingale', 'dynamics', 'and', 'martingales', 'with', 'nonlinear', 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710.2584 | Single Pion production from Nuclei | We have studied charged current one pion production induced by
$\nu_\mu(\bar\nu_\mu)$ from some nuclei. The calculations have been done for
the incoherent pion production processes from these nuclear targets in the
$\Delta$ dominance model and take into account the effect of Pauli blocking,
Fermi motion and renormalization of $\Delta$ properties in the nuclear medium.
The effect of final state interactions of pions has also been taken into
account. The numerical results have been compared with the recent results from
the MiniBooNE experiment for the charged current 1$\pi$ production, and also
with some of the older experiments in Freon and Freon-Propane from CERN.
| nucl-th | we have studied charged current one pion production induced by nu_mubarnu_mu from some nuclei the calculations have been done for the incoherent pion production processes from these nuclear targets in the delta dominance model and take into account the effect of pauli blocking fermi motion and renormalization of delta properties in the nuclear medium the effect of final state interactions of pions has also been taken into account the numerical results have been compared with the recent results from the miniboone experiment for the charged current 1pi production and also with some of the older experiments in freon and freonpropane from cern | [['we', 'have', 'studied', 'charged', 'current', 'one', 'pion', 'production', 'induced', 'by', 'nu_mubarnu_mu', 'from', 'some', 'nuclei', 'the', 'calculations', 'have', 'been', 'done', 'for', 'the', 'incoherent', 'pion', 'production', 'processes', 'from', 'these', 'nuclear', 'targets', 'in', 'the', 'delta', 'dominance', 'model', 'and', 'take', 'into', 'account', 'the', 'effect', 'of', 'pauli', 'blocking', 'fermi', 'motion', 'and', 'renormalization', 'of', 'delta', 'properties', 'in', 'the', 'nuclear', 'medium', 'the', 'effect', 'of', 'final', 'state', 'interactions', 'of', 'pions', 'has', 'also', 'been', 'taken', 'into', 'account', 'the', 'numerical', 'results', 'have', 'been', 'compared', 'with', 'the', 'recent', 'results', 'from', 'the', 'miniboone', 'experiment', 'for', 'the', 'charged', 'current', '1pi', 'production', 'and', 'also', 'with', 'some', 'of', 'the', 'older', 'experiments', 'in', 'freon', 'and', 'freonpropane', 'from', 'cern']] | [-0.023541743210101926, 0.2222178433514615, -0.12165306328097358, 0.09406954596870311, 0.010508126150447838, -0.08288121637473307, 0.04026240124228862, 0.3437648785881477, -0.18151497857479176, -0.2831126649190884, 0.00040022214289090716, -0.37976043333649856, -0.010815600265223201, 0.1696191919773891, 0.08716414437288104, 0.06677948671512969, 0.07474537456574121, 0.028830734519564576, -0.03971943396632329, -0.21111573548157617, 0.338231703898141, 0.06643328313153274, 0.23587782426603543, 0.16230729060007795, 0.051384260509126256, 0.023142253680357543, -0.06361635003554736, 0.036436721064740475, -0.08766283281378005, 0.03350095497905323, 0.20708167256031296, 0.06085993531436687, 0.17755687198057624, -0.4713251110867108, -0.20519324422509658, 0.09331445089808785, 0.1288921753737596, 0.13237326957359172, -0.1347471446462787, -0.3518835843476181, 0.038748910247191494, -0.2369072219024938, -0.08292060595300824, -0.06872884656238083, 0.013584093255276727, 0.03943490065486714, -0.23738202435139677, 0.08697318334286885, 0.010694804276330488, 0.021558843487870794, -0.11118118112473425, -0.2539771547872979, 0.0007840233652087131, 0.12987858110503986, 0.1334223749270515, 0.031777387065351895, 0.14366414956748486, -0.15994960538083963, -0.13832176546335662, 0.3953617630839938, -0.03581353414822185, -0.1533615443265379, 0.13926572324984735, -0.2121546847681229, -0.13159253107992433, 0.17912009757214992, 0.19321353388788862, 0.0677304660698565, -0.2051921388005266, 0.0914185059113926, -0.033871847129943275, 0.0958854270531879, 0.055930804654882094, 0.04671918824176756, 0.1726391370878509, 0.20839488640943965, -0.055529494580840416, 0.07416823070662298, -0.1244675728911995, -0.09316156861731911, -0.30939057047045465, -0.09423630965855156, -0.06179386673329195, 0.06515709299243766, -0.007637576402354027, -0.03502581977645065, 0.3599198242305953, 0.1219678445451773, 0.23111590021981462, -0.05391988365237813, 0.29911205666785196, 0.08601598522745736, 0.11232408188689168, 0.03662164643001143, 0.32985287798063756, 0.15847072747794191, 0.10745927994831068, -0.27821756978657575, 0.0642908017697403, 0.0346100694582899] |
710.2585 | Conformal Dirichlet-Neumann Maps and Poincar\'e-Einstein Manifolds | A conformal description of Poincare-Einstein manifolds is developed: these
structures are seen to be a special case of a natural weakening of the Einstein
condition termed an almost Einstein structure. This is used for two purposes:
to shed light on the relationship between the scattering construction of
Graham-Zworski and the higher order conformal Dirichlet-Neumann maps of Branson
and the author; to sketch a new construction of non-local (Dirichlet-to-Neumann
type) conformal operators between tensor bundles.
| math.DG math-ph math.MP | a conformal description of poincareeinstein manifolds is developed these structures are seen to be a special case of a natural weakening of the einstein condition termed an almost einstein structure this is used for two purposes to shed light on the relationship between the scattering construction of grahamzworski and the higher order conformal dirichletneumann maps of branson and the author to sketch a new construction of nonlocal dirichlettoneumann type conformal operators between tensor bundles | [['a', 'conformal', 'description', 'of', 'poincareeinstein', 'manifolds', 'is', 'developed', 'these', 'structures', 'are', 'seen', 'to', 'be', 'a', 'special', 'case', 'of', 'a', 'natural', 'weakening', 'of', 'the', 'einstein', 'condition', 'termed', 'an', 'almost', 'einstein', 'structure', 'this', 'is', 'used', 'for', 'two', 'purposes', 'to', 'shed', 'light', 'on', 'the', 'relationship', 'between', 'the', 'scattering', 'construction', 'of', 'grahamzworski', 'and', 'the', 'higher', 'order', 'conformal', 'dirichletneumann', 'maps', 'of', 'branson', 'and', 'the', 'author', 'to', 'sketch', 'a', 'new', 'construction', 'of', 'nonlocal', 'dirichlettoneumann', 'type', 'conformal', 'operators', 'between', 'tensor', 'bundles']] | [-0.1448271083517944, 0.07351743140236366, -0.08946154452860355, 0.10129937428298522, -0.16157941798016123, -0.14219942761661664, -0.08252862661005292, 0.32347023407992437, -0.2488491799593074, -0.23431425033877157, 0.11244146300046003, -0.25774128525198936, -0.19984151059378907, 0.17005615507903166, -0.06713126763089063, 0.03460526147423542, 0.00011850468661278894, 0.04737740910088975, -0.14893735104482875, -0.24964186494487453, 0.4260249657377805, 0.0523187690605856, 0.27096488581944816, 0.09823559376423897, 0.10507365785960159, -0.025398501277939505, -0.03415799373122927, 0.01116544465623694, -0.117488335027066, 0.18833622136408437, 0.2467688560638934, 0.07897262024527339, 0.18953420280810598, -0.4017200912348926, -0.20983424420988392, 0.10568138432676254, 0.0610029103094074, 0.1026592220320073, -0.0021534262158053176, -0.3260698723893817, 0.051943455771734454, -0.09682961088949688, -0.16508011048506588, -0.05282980999717974, -0.0017480921153336356, -0.05368026889452379, -0.252661559900607, 0.03053249904809341, 0.11663372202278817, 0.08169685209756844, -0.100655163536231, -0.06316016790495343, -0.02713473906026107, 0.11401291565382726, 0.030309971313515347, 0.027597601602032576, 0.06964992007164106, -0.09175132289975371, -0.10019345580893632, 0.3697605533652926, -0.10090408175194968, -0.24380700272342112, 0.14160574365356196, -0.11137230672605641, -0.14026117501525234, 0.06974704442577666, 0.13560290821534518, 0.161664637749734, -0.14328733963129583, 0.10097544918264173, -0.05763606628887866, 0.10421828456120948, 0.13323483625682045, 0.015008857461770563, 0.1664341030808242, 0.11320103519940622, 0.10329709024717139, 0.1524253499946136, 0.010030245583836143, -0.07978099997933596, -0.38831394347872533, -0.20710073650753993, -0.12520086362141453, 0.12344761414466145, -0.11616402315829039, -0.2048680572611063, 0.3755021194276744, 0.05919409954098328, 0.2207114465274746, 0.05311192160676399, 0.1972250212494233, 0.08714522134308537, 0.10530425942413611, 0.03257081591945193, 0.23305550629706823, 0.23968699839833665, 0.11661748660964355, -0.16367580189867176, -0.06179311974867158, 0.20700898702090528] |
710.2586 | Mode entanglement of an electron in one-dimensional determined and
random potentials | By using the measure of concurrence, mode entanglement of an electron moving
in four kinds of one-dimensional determined and random potentials is studied
numerically. The extended and local- ized states can be distinguished by mode
entanglement. There are sharp transitions in concurrence at mobility edges. It
provides that the mode entanglement may be a new index for a metal-insulator
transition.
| quant-ph | by using the measure of concurrence mode entanglement of an electron moving in four kinds of onedimensional determined and random potentials is studied numerically the extended and local ized states can be distinguished by mode entanglement there are sharp transitions in concurrence at mobility edges it provides that the mode entanglement may be a new index for a metalinsulator transition | [['by', 'using', 'the', 'measure', 'of', 'concurrence', 'mode', 'entanglement', 'of', 'an', 'electron', 'moving', 'in', 'four', 'kinds', 'of', 'onedimensional', 'determined', 'and', 'random', 'potentials', 'is', 'studied', 'numerically', 'the', 'extended', 'and', 'local', 'ized', 'states', 'can', 'be', 'distinguished', 'by', 'mode', 'entanglement', 'there', 'are', 'sharp', 'transitions', 'in', 'concurrence', 'at', 'mobility', 'edges', 'it', 'provides', 'that', 'the', 'mode', 'entanglement', 'may', 'be', 'a', 'new', 'index', 'for', 'a', 'metalinsulator', 'transition']] | [-0.1524746291222982, 0.2607794462647386, -0.08936643250441799, 0.046927645005052906, 0.06674517169594765, -0.2273351308424026, 0.04781848606799031, 0.39221140344937644, -0.23203450484822194, -0.2366794217688342, 0.05186872346481929, -0.30079636865605913, -0.1050092247625192, 0.16966434557301302, 0.008352010929957032, 0.07079551575394968, -0.0029549148535200705, 0.0370951903052628, -0.01422027190371106, -0.1666121682152152, 0.3160571554830919, 0.006049677077680826, 0.28749577393755316, 0.0950394006135563, 0.021060773683711887, -0.017821192850048344, 0.07606415843280653, 0.07219253887111941, -0.1386488772585532, 0.05506807409983594, 0.2540067611999499, 0.06024076972777645, 0.2117862937040627, -0.389961378245304, -0.21955838353993992, 0.08045980090197796, 0.14911204474822928, 0.11724570667526374, -0.04190737150687104, -0.3505864530491332, 0.0012817412071550885, -0.1388241437263787, -0.14791059341902535, -0.10533198717360695, 0.036093097847575945, -0.05251102636878689, -0.28266156000706055, 0.13352078678241622, 0.008447238911564152, 0.07785778482599805, 0.0072503820449734725, -0.0025824915268458427, -0.06657980878371746, 0.12358444072306156, -0.0320070679183118, -0.007481804557998354, 0.12699305744220812, -0.07300719322326282, -0.1912757134375473, 0.3190944757622977, -0.0792244591905425, -0.16553913922737895, 0.19397781499040623, -0.13727866658009588, -0.06778831908013672, 0.13724046930049857, 0.09386934625605742, 0.09053769645591576, -0.1547433698156965, 0.028341576129120465, -0.014598156430292875, 0.13913848977099405, 0.10482855800849696, 0.09543369259530057, 0.231047545808057, 0.07683687801472842, 0.09067180949884156, 0.2222720865587083, -0.06736430150146286, -0.08493855958804489, -0.2478076895388464, -0.19285176940320525, -0.27838757603555375, 0.027408585247273246, -0.10997885199370407, -0.11967288916930556, 0.4803630579262972, 0.04535886339726858, 0.17661261525936425, -0.019798220368102193, 0.2037372142231713, 0.20501058083803703, 0.05691193811944686, 0.08580943023941169, 0.28504375795212883, 0.1273217347683385, 0.04804373921554846, -0.24712004165630788, 0.052156806481070815, 0.06794299556252857] |
710.2587 | Origin of the anomalous magnetic circular dichroism spectral shape in
ferromagnetic (Ga,Mn)As: Impurity bands inside the band gap | The electronic structure of a prototype dilute magnetic semiconductor (DMS),
Ga1-xMnxAs, is studied by magnetic circular dichroism (MCD) spectroscopy. We
prove that the optical transitions originated from impurity bands cause the
strong positive MCD background. The MCD signal due to the E0 transition from
the valence band to the conduction band is negative indicating that the p-d
exchange interactions between the p-carriers and d-spin is antiferromagnetic.
The negative E0 MCD signal also indicates that the hole-doping of the valence
band is not so large as previously assumed. The impurity bands seem to play
important roles for the ferromagnetism of Ga1-xMnxAs.
| cond-mat.mtrl-sci | the electronic structure of a prototype dilute magnetic semiconductor dms ga1xmnxas is studied by magnetic circular dichroism mcd spectroscopy we prove that the optical transitions originated from impurity bands cause the strong positive mcd background the mcd signal due to the e0 transition from the valence band to the conduction band is negative indicating that the pd exchange interactions between the pcarriers and dspin is antiferromagnetic the negative e0 mcd signal also indicates that the holedoping of the valence band is not so large as previously assumed the impurity bands seem to play important roles for the ferromagnetism of ga1xmnxas | [['the', 'electronic', 'structure', 'of', 'a', 'prototype', 'dilute', 'magnetic', 'semiconductor', 'dms', 'ga1xmnxas', 'is', 'studied', 'by', 'magnetic', 'circular', 'dichroism', 'mcd', 'spectroscopy', 'we', 'prove', 'that', 'the', 'optical', 'transitions', 'originated', 'from', 'impurity', 'bands', 'cause', 'the', 'strong', 'positive', 'mcd', 'background', 'the', 'mcd', 'signal', 'due', 'to', 'the', 'e0', 'transition', 'from', 'the', 'valence', 'band', 'to', 'the', 'conduction', 'band', 'is', 'negative', 'indicating', 'that', 'the', 'pd', 'exchange', 'interactions', 'between', 'the', 'pcarriers', 'and', 'dspin', 'is', 'antiferromagnetic', 'the', 'negative', 'e0', 'mcd', 'signal', 'also', 'indicates', 'that', 'the', 'holedoping', 'of', 'the', 'valence', 'band', 'is', 'not', 'so', 'large', 'as', 'previously', 'assumed', 'the', 'impurity', 'bands', 'seem', 'to', 'play', 'important', 'roles', 'for', 'the', 'ferromagnetism', 'of', 'ga1xmnxas']] | [-0.1417574536036512, 0.15850739525584034, 0.0059859201310889214, 0.10396334122998094, -0.04600362270256749, -0.16236429274872397, 0.08245247239341037, 0.43326282471117344, -0.29669770111113486, -0.2952963035080977, -0.013182293581352993, -0.3784453652874388, -0.13775399997077806, 0.09414015618162323, 0.09225643122324137, -0.03623062748499591, -0.01749631699005311, -0.0264331045410022, -0.056672121757980094, -0.11732384791560095, 0.295598408654144, 0.07282590747556904, 0.2893669573834749, 0.13469138392952806, -0.028266348433916014, 0.035331608657019606, 0.13181687270601591, 0.04062806642755414, -0.06334525939481947, 0.04885840057536508, 0.2952621728369985, -0.11273261510785858, 0.20044425042167383, -0.3859578441696787, -0.19478585629375897, 0.030506596775876, 0.1037315027553099, 0.11679491457162482, -0.10390133639524757, -0.27746720875100694, 0.07623431871108936, -0.09979208208846324, -0.11014414584849763, -0.0454161833634252, 0.002497337532765938, -0.02924701346630099, -0.28117014108651384, 0.1079897514416253, 0.11030006038043837, 0.07314460184613261, -0.13133738634665731, -0.16796228459876295, -0.11961334396266576, 0.09573699916346055, 0.0959168569222469, 0.04736279926587348, 0.14888518744835047, -0.04420722485284763, -0.11437578886897877, 0.3690579721346648, -0.08905852140125001, -0.029547269230313374, 0.15670629260435964, -0.2415532248536821, -0.07537528260074781, 0.2047992077458537, 0.08439287626081043, 0.0730300666152904, -0.10597199227983094, 0.1256409041140219, -0.009353420255009574, 0.20926244834419153, 0.014619554802210945, 0.08051416712032274, 0.2708628852334287, 0.10571980478260855, 0.06721900491928211, 0.12771284805535518, -0.1953001465940039, -0.020980350468589953, -0.16756732054431028, -0.14142333130079388, -0.26825920374819423, 0.056172241431377556, -0.06271766172236919, -0.2304839501157403, 0.38385099811818113, 0.11664710819928183, 0.1733231975066692, -0.10325473871298435, 0.2206508837630878, 0.12774004935371605, 0.08890927406592351, 0.04944047178941393, 0.33983721328203126, 0.2267047236697052, 0.1266709581732449, -0.30336849932380094, 0.10088921297398029, -0.019667226747689635] |
710.2588 | Phase space constraints and statistical jet studies in heavy-ion
collisions | The effect of the correlation induced by global momentum conservation on the
two-particle distribution in nucleus-nucleus collisions is discussed, with a
focus on the generic case of collisions with a non-vanishing impact parameter.
| nucl-th | the effect of the correlation induced by global momentum conservation on the twoparticle distribution in nucleusnucleus collisions is discussed with a focus on the generic case of collisions with a nonvanishing impact parameter | [['the', 'effect', 'of', 'the', 'correlation', 'induced', 'by', 'global', 'momentum', 'conservation', 'on', 'the', 'twoparticle', 'distribution', 'in', 'nucleusnucleus', 'collisions', 'is', 'discussed', 'with', 'a', 'focus', 'on', 'the', 'generic', 'case', 'of', 'collisions', 'with', 'a', 'nonvanishing', 'impact', 'parameter']] | [-0.1828923374978882, 0.19302143337148608, -0.14627670654744812, 0.08779020914031814, 0.013873248050610224, -0.033820841715417126, -0.09505240277697642, 0.26650451668397046, -0.1810948665846478, -0.2441621252871824, -0.016621874380772086, -0.3266825426765012, -0.03319581225514412, 0.11849777592402516, 0.0672287201988652, 0.07745590952761246, 0.09159774395326774, 0.049927362777066955, -0.06694040961112037, -0.1928344422556234, 0.44366934263344965, 0.1259246069486394, 0.2755015316616857, 0.17857152449362207, 0.09571006459494431, 0.12950367441005778, -0.02364806006803657, 0.049638802453762655, -0.13687979043320272, 0.05139838307425662, 0.15454637094146825, -0.003650194372643124, 0.2112799548459324, -0.397971054651972, -0.20094098060420065, 0.14073198263279416, 0.09879739458362262, 0.09926376378897464, -0.12718925075464402, -0.263032970660733, 0.030825122062003975, -0.24205124285072088, -0.15282136259713408, -0.010552284279555985, 0.06162177125048457, 0.08114230251786383, -0.2894708158053232, 0.14236330252253648, 0.045545306000294106, 0.11501733800678542, -0.015264411301662525, -0.11798404732888396, -0.10907846652535778, 0.017762242082619305, 0.09169807010612478, 0.03904338875277476, 0.13693522910277048, -0.1653161968993531, -0.10080425596309149, 0.4153459860068379, -0.03360587228654009, -0.28711400722915476, 0.14170182360844177, -0.20390830689928297, -0.13042428488419813, 0.08481349429172097, 0.23557427696262798, 0.12817623974247414, -0.14935359307988125, 0.08696562198526932, -0.007917060432108965, 0.11194814453748139, 0.03840253699683782, 0.07227151485329325, 0.17743922798245243, 0.17674893818118356, 0.04574672025487279, 0.1488944408342694, -0.12334146975913565, -0.13935209816378175, -0.38408713948658924, -0.047651187206308045, -0.20866224739813444, 0.025159961572199158, -0.07191444905192564, -0.08499173814374389, 0.40539385626713437, 0.10638938176756103, 0.3110886712869008, -0.02422711058435115, 0.3022330005399205, 0.15443105950500025, 0.045474482869560066, 0.042380009227516974, 0.29944889563502686, 0.13327126612068352, 0.1448788862731872, -0.32073113007583853, 0.1073995970584678, 0.08941337276447678] |
710.2589 | 1-loop Corrections to the \rho Parameter in the Left-Right Twin Higgs
Model | We implement a one-loop analysis of the $\rho$ parameter in the Left Right
Twin Higgs model, including the logarithmically enhanced contributions from
both fermion and scalar loops. Numerical results show that the one-loop
contributions are dominant over the tree level corrections in most regions of
parameter space. The experimentally allowed values of $\rho$-parameter divide
the allowed parameter space into two regions; less than $670 {\rm GeV}$ and
larger than $1100 {\rm GeV}$ roughly, for symmetry breaking scale $f$. Our
numerical analysis significantly reduces the parameter space which are
favorably accessible to the LHC.
| hep-ph | we implement a oneloop analysis of the rho parameter in the left right twin higgs model including the logarithmically enhanced contributions from both fermion and scalar loops numerical results show that the oneloop contributions are dominant over the tree level corrections in most regions of parameter space the experimentally allowed values of rhoparameter divide the allowed parameter space into two regions less than 670 rm gev and larger than 1100 rm gev roughly for symmetry breaking scale f our numerical analysis significantly reduces the parameter space which are favorably accessible to the lhc | [['we', 'implement', 'a', 'oneloop', 'analysis', 'of', 'the', 'rho', 'parameter', 'in', 'the', 'left', 'right', 'twin', 'higgs', 'model', 'including', 'the', 'logarithmically', 'enhanced', 'contributions', 'from', 'both', 'fermion', 'and', 'scalar', 'loops', 'numerical', 'results', 'show', 'that', 'the', 'oneloop', 'contributions', 'are', 'dominant', 'over', 'the', 'tree', 'level', 'corrections', 'in', 'most', 'regions', 'of', 'parameter', 'space', 'the', 'experimentally', 'allowed', 'values', 'of', 'rhoparameter', 'divide', 'the', 'allowed', 'parameter', 'space', 'into', 'two', 'regions', 'less', 'than', '670', 'rm', 'gev', 'and', 'larger', 'than', '1100', 'rm', 'gev', 'roughly', 'for', 'symmetry', 'breaking', 'scale', 'f', 'our', 'numerical', 'analysis', 'significantly', 'reduces', 'the', 'parameter', 'space', 'which', 'are', 'favorably', 'accessible', 'to', 'the', 'lhc']] | [-0.10518363550786049, 0.24700407328845192, -0.026689388248468598, 0.13885568488909994, -0.07601909339427948, -0.13115812492336557, 0.031641922801011996, 0.31910753864995256, -0.20200328289666364, -0.2978200379118163, 0.05837189985228883, -0.3075728559846519, -0.03222179675464749, 0.22290631393922034, 0.08359866990878057, 0.01606233819573742, 0.02935897654062638, 0.01597141901091222, -0.08082566823389742, -0.23277068825223313, 0.2936233539905359, 0.036248128025001415, 0.22746443732451366, 0.06571074842064771, 0.04166063024932819, -0.04821596802863222, -0.033929339820338834, -0.04128489222753698, -0.17980890440973968, 0.07696713350953595, 0.1990621116798451, 0.039367419370870675, 0.19622996531587134, -0.3291127388916349, -0.1589026482981099, 0.13814170418747812, 0.20207109392410325, 0.03291961739856189, 0.027854337687453917, -0.29594971347720395, 0.12076034121996453, -0.18636620391200306, -0.06588882639483419, -0.06040928029124775, -0.021725350645400824, -0.15087367552182368, -0.30426780544021115, 0.09523878603552778, -0.06531081207957799, 0.01358459706628515, -0.04128716551318204, -0.18816487659369746, -0.09485243009253135, 0.03446169082896523, 0.10779470824811768, 0.0557768954460444, 0.15401663998347176, -0.16648704820482801, -0.08659319144107842, 0.38175013192719026, -0.06228469541235026, -0.17193181481042136, 0.14582657218179715, -0.22261606441229903, -0.12251180323762118, 0.18763373284450463, 0.13974530822146805, 0.13475446202304034, -0.060224311085798406, 0.18241294028653052, 0.0016033855937821891, 0.21839059500764774, 0.05967921720096661, 0.030102524891375534, 0.13564505412804104, 0.12081959015459463, 0.06987984128977343, 0.10282894443490252, -0.09906429882531845, -0.1384202097492513, -0.39955627685913475, -0.09441655400078944, -0.06720167810037252, -0.03553360062185049, -0.15641772118616118, -0.0755881164823809, 0.40811973094679815, 0.1844435701377049, 0.27842048343311077, 0.07032068075877564, 0.2866044466368734, 0.09299536155266387, 0.13115254733010487, 0.06531669877930193, 0.25865431913545217, 0.09204138168484292, 0.041512130157551376, -0.21556146544033802, -0.01876180459775271, 0.04764531932424464] |
710.259 | Geometries with Killing Spinors and Supersymmetric AdS Solutions | The seven and nine dimensional geometries associated with certain classes of
supersymmetric $AdS_3$ and $AdS_2$ solutions of type IIB and D=11 supergravity,
respectively, have many similarities with Sasaki-Einstein geometry. We further
elucidate their properties and also generalise them to higher odd dimensions by
introducing a new class of complex geometries in $2n+2$ dimensions, specified
by a Riemannian metric, a scalar field and a closed three-form, which admit a
particular kind of Killing spinor. In particular, for $n\ge 3$, we show that
when the geometry in $2n+2$ dimensions is a cone we obtain a class of
geometries in $2n+1$ dimensions, specified by a Riemannian metric, a scalar
field and a closed two-form, which includes the seven and nine-dimensional
geometries mentioned above when $n=3,4$, respectively. We also consider various
ansatz for the geometries and construct infinite classes of explicit examples
for all $n$.
| hep-th math-ph math.DG math.MP | the seven and nine dimensional geometries associated with certain classes of supersymmetric ads_3 and ads_2 solutions of type iib and d11 supergravity respectively have many similarities with sasakieinstein geometry we further elucidate their properties and also generalise them to higher odd dimensions by introducing a new class of complex geometries in 2n2 dimensions specified by a riemannian metric a scalar field and a closed threeform which admit a particular kind of killing spinor in particular for nge 3 we show that when the geometry in 2n2 dimensions is a cone we obtain a class of geometries in 2n1 dimensions specified by a riemannian metric a scalar field and a closed twoform which includes the seven and ninedimensional geometries mentioned above when n34 respectively we also consider various ansatz for the geometries and construct infinite classes of explicit examples for all n | [['the', 'seven', 'and', 'nine', 'dimensional', 'geometries', 'associated', 'with', 'certain', 'classes', 'of', 'supersymmetric', 'ads_3', 'and', 'ads_2', 'solutions', 'of', 'type', 'iib', 'and', 'd11', 'supergravity', 'respectively', 'have', 'many', 'similarities', 'with', 'sasakieinstein', 'geometry', 'we', 'further', 'elucidate', 'their', 'properties', 'and', 'also', 'generalise', 'them', 'to', 'higher', 'odd', 'dimensions', 'by', 'introducing', 'a', 'new', 'class', 'of', 'complex', 'geometries', 'in', '2n2', 'dimensions', 'specified', 'by', 'a', 'riemannian', 'metric', 'a', 'scalar', 'field', 'and', 'a', 'closed', 'threeform', 'which', 'admit', 'a', 'particular', 'kind', 'of', 'killing', 'spinor', 'in', 'particular', 'for', 'nge', '3', 'we', 'show', 'that', 'when', 'the', 'geometry', 'in', '2n2', 'dimensions', 'is', 'a', 'cone', 'we', 'obtain', 'a', 'class', 'of', 'geometries', 'in', '2n1', 'dimensions', 'specified', 'by', 'a', 'riemannian', 'metric', 'a', 'scalar', 'field', 'and', 'a', 'closed', 'twoform', 'which', 'includes', 'the', 'seven', 'and', 'ninedimensional', 'geometries', 'mentioned', 'above', 'when', 'n34', 'respectively', 'we', 'also', 'consider', 'various', 'ansatz', 'for', 'the', 'geometries', 'and', 'construct', 'infinite', 'classes', 'of', 'explicit', 'examples', 'for', 'all', 'n']] | [-0.15657606083694978, 0.1325320146964691, 0.0236799747266985, 0.09846693039987342, -0.08188155466725336, -0.20924815680197578, -0.053920852339080144, 0.35422084894995637, -0.12594238072567693, -0.27004160938110755, 0.11939083868270271, -0.25798790336830923, -0.20551912421327587, 0.16379714151514127, -0.05373645855232756, 0.0029322938095276236, -0.008165493855213231, 0.09649022494555048, -0.1637164634612805, -0.30156325065557255, 0.4158126939821275, -0.08451924842934236, 0.2211581085484924, 0.012678814800918524, 0.1562410905339643, -0.04470700723059634, 0.03439382066725628, 0.09151147246189045, -0.16096676117410316, 0.14683988501634845, 0.24677765140877972, 0.09542069537895369, 0.13712312785102754, -0.40596354393460227, -0.24456398292190348, 0.1350860970775128, 0.14864407631846027, 0.09143186357790432, -0.00803228350214211, -0.2679124373797301, 0.06786222645355693, -0.13977738442097573, -0.2154288652901214, -0.11649040388379325, 0.05293834226120078, -0.04867635412366255, -0.23341161993510545, 0.013102594376227931, 0.0839750782210142, 0.05692994290407985, -0.09956594596861314, -0.09148643453851514, -0.040272251743301485, 0.05078613073672399, 0.05375169688614469, 0.01018809620621251, 0.04509975741359782, -0.12257257339790016, -0.1632549838205892, 0.31244017023936654, -0.03820991870147962, -0.32440461010956173, 0.14521160445684658, -0.13922154748521692, -0.1697876728569151, 0.12592111639298684, 0.1295796673685471, 0.21035700724691364, -0.1180773323564047, 0.22317647014856867, -0.04463482182142688, 0.07934143188151907, 0.15188482132284564, 0.03287571703962295, 0.1799506954419433, 0.06655630742113852, 0.07452097016053129, 0.18098829028275895, -0.029515226974923175, -0.0854879110186288, -0.4076350410567953, -0.19221507452084874, -0.06973986831206352, 0.1849185634018021, -0.21011519253977198, -0.1759785965146127, 0.3957705263920287, 0.026968488229871298, 0.18702429822969732, 0.08095263604715414, 0.16186819294903507, 0.030459738944174974, 0.05140523288022489, 0.11099512617851785, 0.18156293407412813, 0.1542124402567295, 0.039782029457707355, -0.15064198298194836, -0.15794550792267875, 0.14408389037328026] |
710.2591 | Von Neumann entropy and localization-delocalization transition of
electron states in quantum small-world networks | The von Neumann entropy for an electron in periodic, disorder and
quasiperiodic quantum small-world networks(QSWNs) are studied numerically. For
the disorder QSWNs, the derivative of the spectrum averaged von Neumann entropy
is maximal at a certain density of shortcut links p*, which can be as a
signature of the localization delocalization transition of electron states. The
transition point p* is agreement with that obtained by the level statistics
method. For the quasiperiodic QSWNs, it is found that there are two regions of
the potential parameter. The behaviors of electron states in different regions
are similar to that of periodic and disorder QSWNs, respectively.
| quant-ph | the von neumann entropy for an electron in periodic disorder and quasiperiodic quantum smallworld networksqswns are studied numerically for the disorder qswns the derivative of the spectrum averaged von neumann entropy is maximal at a certain density of shortcut links p which can be as a signature of the localization delocalization transition of electron states the transition point p is agreement with that obtained by the level statistics method for the quasiperiodic qswns it is found that there are two regions of the potential parameter the behaviors of electron states in different regions are similar to that of periodic and disorder qswns respectively | [['the', 'von', 'neumann', 'entropy', 'for', 'an', 'electron', 'in', 'periodic', 'disorder', 'and', 'quasiperiodic', 'quantum', 'smallworld', 'networksqswns', 'are', 'studied', 'numerically', 'for', 'the', 'disorder', 'qswns', 'the', 'derivative', 'of', 'the', 'spectrum', 'averaged', 'von', 'neumann', 'entropy', 'is', 'maximal', 'at', 'a', 'certain', 'density', 'of', 'shortcut', 'links', 'p', 'which', 'can', 'be', 'as', 'a', 'signature', 'of', 'the', 'localization', 'delocalization', 'transition', 'of', 'electron', 'states', 'the', 'transition', 'point', 'p', 'is', 'agreement', 'with', 'that', 'obtained', 'by', 'the', 'level', 'statistics', 'method', 'for', 'the', 'quasiperiodic', 'qswns', 'it', 'is', 'found', 'that', 'there', 'are', 'two', 'regions', 'of', 'the', 'potential', 'parameter', 'the', 'behaviors', 'of', 'electron', 'states', 'in', 'different', 'regions', 'are', 'similar', 'to', 'that', 'of', 'periodic', 'and', 'disorder', 'qswns', 'respectively']] | [-0.16404864993676835, 0.2180847159334899, -0.07286357801914324, 0.08867547506644555, 0.06210566366858342, -0.1763488158821037, 0.019635884303544814, 0.3405233548871954, -0.23752818204572096, -0.2091661730744675, 0.06752796512891483, -0.337354833698448, -0.12498871154864044, 0.19490130915872605, -0.007773593214212679, 0.08757973606150378, 0.043331043737684836, 0.07830734741882599, -0.07858668627701335, -0.18841309810751208, 0.3444072469868058, 0.027457932305896618, 0.2887459594719842, 0.0766789381821439, 0.012120975637991055, -0.0299774774221256, 0.06425127915252804, 0.056340742245654336, -0.1467248861410161, 0.06143543170650909, 0.2395723494975006, 0.014650767139506107, 0.24567816445750057, -0.3785155110024646, -0.23938078696008624, 0.09332683026407133, 0.11945992185478556, 0.09070069131363805, -0.021019277354592785, -0.31682077475695636, 0.08958616189877777, -0.16890528175395494, -0.1321449253899867, -0.06479427928798924, 0.07494474197600913, 0.027650586087439283, -0.28544959215009036, 0.16945206041575647, 0.05801257587896258, 0.07391311020097312, -0.07016926559199597, -0.029859509830381357, -0.07529854226638288, 0.12554104857183263, 0.01656579951910923, 0.0026235110779845284, 0.12574812847500047, -0.09848465968160798, -0.12354295957815267, 0.3239673324221489, -0.03497518300462295, -0.16784912428827772, 0.1881773289220006, -0.1899906328751468, -0.0924352796830456, 0.1618965320462581, 0.06066432812105061, 0.04616670789854491, -0.10881085185261041, 0.08294236518821552, -0.042960881247577784, 0.13434680611695227, 0.08031962506527848, 0.04505187484335015, 0.17136192928050079, 0.08022249617851247, 0.10319041310097365, 0.13731110371836444, -0.11100102081785307, -0.09552820155616193, -0.28375015347082094, -0.13026908986206515, -0.2540154796477188, 0.03950996370986104, -0.09937672546634442, -0.21667539332902022, 0.4283032689298339, 0.09979742344048824, 0.2033247184099666, 0.01033107228873882, 0.1761307128997264, 0.18892193498779272, 0.01325652787151436, 0.05129272796158843, 0.21143503353574916, 0.14548856517363923, 0.07998079940329726, -0.2651451788614413, 0.03912727772623446, 0.0863722933698263] |
710.2592 | von Neumann entropy and localization properties of two interacting
particles in one-dimensional nonuniform systems | With the help of von Neumann entropy, we study numerically the localization
properties of two interacting particles (TIP) with on-site interactions in
one-dimensional disordered, quasiperiodic, and slowly varying potential
systems, respectively. We find that for TIP in disordered and slowly varying
potential systems, the spectrum-averaged von Neumann entropy <E_v> first
increases with interaction U until its peak, then decreases as U gets larger.
For TIP in the Harper model[S. N. Evangelou and D. E. Katsanos, Phys. Rev. B
56, 12797(1997)], the functions of <E_v> versus U are different for particles
in extended and localized regimes. Our numerical results indicate that for
these two-particle systems, the von Neumann entropy is a suitable quantity to
characterize the localization properties of particle states. Moreover, our
studies propose a consistent interpretation of the discrepancies between
previous numerical results.
| quant-ph | with the help of von neumann entropy we study numerically the localization properties of two interacting particles tip with onsite interactions in onedimensional disordered quasiperiodic and slowly varying potential systems respectively we find that for tip in disordered and slowly varying potential systems the spectrumaveraged von neumann entropy e_v first increases with interaction u until its peak then decreases as u gets larger for tip in the harper models n evangelou and d e katsanos phys rev b 56 127971997 the functions of e_v versus u are different for particles in extended and localized regimes our numerical results indicate that for these twoparticle systems the von neumann entropy is a suitable quantity to characterize the localization properties of particle states moreover our studies propose a consistent interpretation of the discrepancies between previous numerical results | [['with', 'the', 'help', 'of', 'von', 'neumann', 'entropy', 'we', 'study', 'numerically', 'the', 'localization', 'properties', 'of', 'two', 'interacting', 'particles', 'tip', 'with', 'onsite', 'interactions', 'in', 'onedimensional', 'disordered', 'quasiperiodic', 'and', 'slowly', 'varying', 'potential', 'systems', 'respectively', 'we', 'find', 'that', 'for', 'tip', 'in', 'disordered', 'and', 'slowly', 'varying', 'potential', 'systems', 'the', 'spectrumaveraged', 'von', 'neumann', 'entropy', 'e_v', 'first', 'increases', 'with', 'interaction', 'u', 'until', 'its', 'peak', 'then', 'decreases', 'as', 'u', 'gets', 'larger', 'for', 'tip', 'in', 'the', 'harper', 'models', 'n', 'evangelou', 'and', 'd', 'e', 'katsanos', 'phys', 'rev', 'b', '56', '127971997', 'the', 'functions', 'of', 'e_v', 'versus', 'u', 'are', 'different', 'for', 'particles', 'in', 'extended', 'and', 'localized', 'regimes', 'our', 'numerical', 'results', 'indicate', 'that', 'for', 'these', 'twoparticle', 'systems', 'the', 'von', 'neumann', 'entropy', 'is', 'a', 'suitable', 'quantity', 'to', 'characterize', 'the', 'localization', 'properties', 'of', 'particle', 'states', 'moreover', 'our', 'studies', 'propose', 'a', 'consistent', 'interpretation', 'of', 'the', 'discrepancies', 'between', 'previous', 'numerical', 'results']] | [-0.13091798471286892, 0.1882372500155515, -0.04645128361164377, 0.015791266853025614, 0.03139944552229001, -0.19927158487172655, 0.04222274258231314, 0.33699001386367644, -0.24575320228647726, -0.24543127280731614, 0.014120672238417543, -0.37069739897090653, -0.11376594487900057, 0.1868757199970647, -0.024119242209081466, 0.06139812757073042, 0.08810512741956, 0.022471147034173973, -0.11210792279587342, -0.20479323343875316, 0.29547695907262655, 0.008633121808704276, 0.25096725362460487, 0.08236172505511115, -0.0025611875148919914, 0.026186638934394487, 0.02823933702893555, 0.05799000551924109, -0.18998968495613483, 0.049855296723455046, 0.16753761786063617, 0.018811144712022863, 0.27148597427428917, -0.433075953898235, -0.22706589890160384, 0.09189297936211985, 0.15165825803191044, 0.08822588200609272, -0.012591987361128513, -0.32797347775732094, 0.04884583839937897, -0.19598566087571762, -0.1690365189184936, -0.06201792976890619, 0.12516093803211473, 0.06985452470835299, -0.2880879000115853, 0.18826839845770826, 0.03947194826054888, 0.05441360087492145, -0.09669232881323506, -0.08469933675458798, -0.06337490510553695, 0.08695838407326777, 0.012920215879029666, 0.034057426871731876, 0.13003787162642066, -0.09547968316071022, -0.08098479443981957, 0.3092068770542168, -0.07404702946615334, -0.18913257218395862, 0.26778934644535185, -0.17655854965918338, -0.07512573509302456, 0.07172378303657752, 0.10509096629057939, 0.09747008262202143, -0.1091114589778814, 0.09958974678749935, -0.021037587131006428, 0.14709866778866854, 0.03347926056370712, 0.036620165701382434, 0.16709146164626312, 0.12505914392666176, 0.03820258971446982, 0.166557945135551, -0.08457636438811628, -0.10135808775488, -0.30295731318541447, -0.15584411097314352, -0.1989976512411466, 0.029535240076410656, -0.08726409659317981, -0.1599418435854694, 0.3684064899857801, 0.1413083608226421, 0.23167931768828287, 0.04394086158046356, 0.1901764049875335, 0.12549966271483123, -0.007713430111135284, 0.08073207956667129, 0.2325103608604807, 0.16508480470914108, 0.11348031358972478, -0.28780887392886845, -0.010706358299089166, 0.07655629310756921] |
710.2593 | The Self-dual String Soliton in AdS_4\times S^7 spacetime | We construct self-dual string soliton solutions in $AdS_4\times
S^7$ spacetime, starting from the covariant equations of motion of M5-brane.
We study the properties of the solutions and find that their action are
linearized, indicating the BPS nature of the solutions, and they have the same
electric and magnetic charge. The straight string soliton solution represents
the configuration of the membranes ending on M5-brane with a straight string
intersection, and it behaves like the spiky solution in flat spacetime. The
spherical string soliton solution, which could be related to the straight one
by a conformal transformation, represents the membranes ending on M5-brane with
a spherical intersection.
| hep-th | we construct selfdual string soliton solutions in ads_4times s7 spacetime starting from the covariant equations of motion of m5brane we study the properties of the solutions and find that their action are linearized indicating the bps nature of the solutions and they have the same electric and magnetic charge the straight string soliton solution represents the configuration of the membranes ending on m5brane with a straight string intersection and it behaves like the spiky solution in flat spacetime the spherical string soliton solution which could be related to the straight one by a conformal transformation represents the membranes ending on m5brane with a spherical intersection | [['we', 'construct', 'selfdual', 'string', 'soliton', 'solutions', 'in', 'ads_4times', 's7', 'spacetime', 'starting', 'from', 'the', 'covariant', 'equations', 'of', 'motion', 'of', 'm5brane', 'we', 'study', 'the', 'properties', 'of', 'the', 'solutions', 'and', 'find', 'that', 'their', 'action', 'are', 'linearized', 'indicating', 'the', 'bps', 'nature', 'of', 'the', 'solutions', 'and', 'they', 'have', 'the', 'same', 'electric', 'and', 'magnetic', 'charge', 'the', 'straight', 'string', 'soliton', 'solution', 'represents', 'the', 'configuration', 'of', 'the', 'membranes', 'ending', 'on', 'm5brane', 'with', 'a', 'straight', 'string', 'intersection', 'and', 'it', 'behaves', 'like', 'the', 'spiky', 'solution', 'in', 'flat', 'spacetime', 'the', 'spherical', 'string', 'soliton', 'solution', 'which', 'could', 'be', 'related', 'to', 'the', 'straight', 'one', 'by', 'a', 'conformal', 'transformation', 'represents', 'the', 'membranes', 'ending', 'on', 'm5brane', 'with', 'a', 'spherical', 'intersection']] | [-0.1887443703200136, 0.09384500153274053, -0.09636780466174795, 0.056520457539175235, -0.09027001059481075, -0.15195292224220577, -0.04223426456917964, 0.3255064870629992, -0.19296006938619983, -0.2265760357037098, 0.10448487910796844, -0.3206940305020128, -0.1389053132739805, 0.09918135185504244, -0.050324352849496615, 0.03118518538595665, 0.015864568854504754, 0.10023537298686624, -0.08899694763988789, -0.186659949061106, 0.3337915289969671, 0.0034863817062051523, 0.3105503137267771, -0.004588411635320102, 0.12997353193128391, -0.05929419995241222, 0.028131867631427235, 0.03424255750807268, -0.163403189963165, 0.10928639552633589, 0.19620629786735488, 0.0791785339159625, 0.06394648255248155, -0.5025652717621554, -0.18436893916555813, 0.05468091887998439, 0.2057584408814797, 0.2090623161478323, -0.023805866514643035, -0.2764788220326106, 0.07471814222101654, -0.08329478140831703, -0.2085585432437559, -0.026258923626127875, 0.04109600530604699, 0.02692878837697208, -0.13835783570206592, 0.04649067051674744, 0.048132391043362165, -0.03652406557507458, -0.13678340526475083, -0.018755196540483406, -0.08822227672097228, 0.07587730573667657, 0.1394702916288571, 0.11720584422749068, 0.14466711848619437, -0.17125035065359304, -0.125781636853658, 0.37804172844404266, -0.07793436030901614, -0.2803180675776232, 0.11058811137364025, -0.10189717043457287, -0.0864034969980518, 0.15961352154124706, 0.08153707173519902, 0.18772856913551333, -0.09510253030984174, 0.1990843235448535, -0.035879980417944136, 0.11984355774308954, 0.2034161709470763, 0.011071880800383432, 0.3338084601309328, 0.1506637265462251, 0.0551261098900189, 0.16308264193856822, -0.05641832404016029, -0.15909476385318808, -0.3922393304872371, -0.13111602578400855, -0.08999319747977313, 0.16082430151956423, -0.16571359537663824, -0.2801162463213716, 0.3686526142415546, 0.028530310020488243, 0.1801149207788209, 0.021130889939099905, 0.1722675950222072, 0.08015106260066941, 0.053984453706514265, 0.10305894629231521, 0.23592266882326277, 0.11999160018971279, 0.14460089297388637, -0.2227001999438341, -0.15267000911934744, 0.18872773017556893] |
710.2594 | Rotation of easy axis in training effect and recovery of exchange bias
in ferromagnet/antiferromagnet bilayers | For ferromagnet/antiferromagnet bilayers, rotation of the easy axis has been
\textit{for the first time} observed during measurements of training effect and
the recovery of exchange bias using FeNi/FeMn system. These salient phenomena
strongly suggest irreversible motion of antiferromagnet spins during subsequent
measurements of hysteresis loops. It is found that the rotation of the easy
axis can partly account for the training effect and the recovery of the
exchange bias.
| cond-mat.mtrl-sci physics.soc-ph physics.space-ph | for ferromagnetantiferromagnet bilayers rotation of the easy axis has been textitfor the first time observed during measurements of training effect and the recovery of exchange bias using fenifemn system these salient phenomena strongly suggest irreversible motion of antiferromagnet spins during subsequent measurements of hysteresis loops it is found that the rotation of the easy axis can partly account for the training effect and the recovery of the exchange bias | [['for', 'ferromagnetantiferromagnet', 'bilayers', 'rotation', 'of', 'the', 'easy', 'axis', 'has', 'been', 'textitfor', 'the', 'first', 'time', 'observed', 'during', 'measurements', 'of', 'training', 'effect', 'and', 'the', 'recovery', 'of', 'exchange', 'bias', 'using', 'fenifemn', 'system', 'these', 'salient', 'phenomena', 'strongly', 'suggest', 'irreversible', 'motion', 'of', 'antiferromagnet', 'spins', 'during', 'subsequent', 'measurements', 'of', 'hysteresis', 'loops', 'it', 'is', 'found', 'that', 'the', 'rotation', 'of', 'the', 'easy', 'axis', 'can', 'partly', 'account', 'for', 'the', 'training', 'effect', 'and', 'the', 'recovery', 'of', 'the', 'exchange', 'bias']] | [-0.18358461977913976, 0.1682516709449427, -0.06270648644524901, 0.028957115344169056, -0.09338323195012943, -0.11665654904893874, 0.04549432527410852, 0.4182868520181407, -0.2793077982359511, -0.3414377602200736, 0.10897230041925521, -0.24757751948474085, -0.10715974876931046, 0.19303619417854967, 0.019299339694792732, 0.01796968008720261, 0.06921559372259413, 0.00036282334408229767, -0.04714202075196868, -0.26107804641565857, 0.21942422327372377, 0.05029293998856755, 0.29933151323348284, 0.05966699400724953, 0.1212851777946686, 0.03993744004230179, 0.04329461174304871, 0.020472871797049746, -0.08438710481844763, 0.022512412260231728, 0.1847484630279188, 0.004226909001933082, 0.19814175838495002, -0.43529299731530685, -0.16863333074348597, 0.0443794891676482, 0.1494668884038487, 0.16956613585352898, -0.073231270769611, -0.2615617034573327, 0.008487914657213396, -0.1169588865219232, -0.07176176911247346, -0.08709642999148105, 0.05184284255237264, -0.012295890537857571, -0.2683441698934664, 0.15736108060980983, 0.1243285027500379, 0.10552432878381189, -0.08499509622753762, -0.09218872636248467, -0.09430301550994902, 0.14379423675949082, 0.13327411535839714, 0.04064860720160034, 0.18311920828144887, -0.04989809807225624, -0.13502242744845502, 0.34277541609480977, 0.00011357353137367788, -0.08522278799072784, 0.12363396933720008, -0.20526718790642917, -0.10822551633121774, 0.17065245792379274, 0.16876550622777464, 0.08515215599361588, -0.15744847845395699, 0.027949151509400347, 0.062027194068137115, 0.15767660016632257, -0.0050850477590061284, -0.0444872295963304, 0.24382340769721744, 0.1464985610492637, 0.0009609452202258742, 0.1625159827663618, -0.16772881301585585, -0.0704619633992586, -0.24345531177652233, -0.13029028495828457, -0.17238467971465604, 0.02441430700641564, -0.08605049873714211, -0.15368849943008492, 0.3817496608312735, 0.18424734258887304, 0.20503678698750102, -0.019315744466011357, 0.32478871864869313, 0.060439227789174765, 0.1266103301964262, 0.021058576339034036, 0.2893226816976333, 0.18415016327601144, 0.13685283453806357, -0.31905808508642675, 0.1972005890120807, -0.02773462944691453] |
710.2595 | The process of coevolutionary competitive exclusion: speciation,
multifractality and power-laws in correlation | Competitive exclusion, a key principle of ecology, can be generalized to
understand many other complex systems. Individuals under surviving pressure
tend to be different from others, and correlations among them change
correspondingly to the updating of their states. We show with numerical
simulation that these aptitudes can contribute to group formation or speciation
in social fields. Moreover, they can lead to power-law topological correlations
of complex networks. By coupling updating states of nodes with variation of
connections in a network, structural properties with power-laws and functions
like multifractality, spontaneous ranking and evolutionary branching of node
states can emerge out simultaneously from the present self-organized model of
coevolutionary process.
| physics.data-an physics.soc-ph | competitive exclusion a key principle of ecology can be generalized to understand many other complex systems individuals under surviving pressure tend to be different from others and correlations among them change correspondingly to the updating of their states we show with numerical simulation that these aptitudes can contribute to group formation or speciation in social fields moreover they can lead to powerlaw topological correlations of complex networks by coupling updating states of nodes with variation of connections in a network structural properties with powerlaws and functions like multifractality spontaneous ranking and evolutionary branching of node states can emerge out simultaneously from the present selforganized model of coevolutionary process | [['competitive', 'exclusion', 'a', 'key', 'principle', 'of', 'ecology', 'can', 'be', 'generalized', 'to', 'understand', 'many', 'other', 'complex', 'systems', 'individuals', 'under', 'surviving', 'pressure', 'tend', 'to', 'be', 'different', 'from', 'others', 'and', 'correlations', 'among', 'them', 'change', 'correspondingly', 'to', 'the', 'updating', 'of', 'their', 'states', 'we', 'show', 'with', 'numerical', 'simulation', 'that', 'these', 'aptitudes', 'can', 'contribute', 'to', 'group', 'formation', 'or', 'speciation', 'in', 'social', 'fields', 'moreover', 'they', 'can', 'lead', 'to', 'powerlaw', 'topological', 'correlations', 'of', 'complex', 'networks', 'by', 'coupling', 'updating', 'states', 'of', 'nodes', 'with', 'variation', 'of', 'connections', 'in', 'a', 'network', 'structural', 'properties', 'with', 'powerlaws', 'and', 'functions', 'like', 'multifractality', 'spontaneous', 'ranking', 'and', 'evolutionary', 'branching', 'of', 'node', 'states', 'can', 'emerge', 'out', 'simultaneously', 'from', 'the', 'present', 'selforganized', 'model', 'of', 'coevolutionary', 'process']] | [-0.11096488491953264, 0.1739402321852847, -0.10451104498847767, 0.10459584997451438, -0.0675871157565982, -0.17253953780271802, 0.09921171950150488, 0.40646651991711996, -0.3156592422553028, -0.3243522902743684, 0.0381153628027446, -0.279957509573756, -0.2030746188226018, 0.10493763590973147, -0.022365874369387275, 0.012998266093846824, 0.035424110303951976, 0.007360265861886243, -0.004801795683171669, -0.2471334086386142, 0.3322500654116825, 0.03709346872077462, 0.2712606154554696, 0.023682782492701168, 0.031904045302696804, -0.05056582324862204, -0.009353230332231356, 0.057101406998872, -0.073523074856658, 0.10354317713009314, 0.27411634192470014, 0.13619569087125086, 0.25041734899773643, -0.4512379338826846, -0.24465890235647006, 0.16125384125755066, 0.1738141642159058, 0.11399773773047384, 0.00931331426060448, -0.32768300124357835, 0.05488044010902134, -0.17688437829363263, -0.10088743848879218, -0.12788267218921748, -0.012453405048560214, 0.08252318409547486, -0.25569843944093146, 0.1117898406745452, 0.023969629418354964, 0.036531351403229766, -0.028731843674365706, -0.10032268866241255, -0.09499504316287737, 0.16783613121111152, 0.06585771409246027, -0.04489713138038361, 0.17715900884165117, -0.14226042418913157, -0.19584793135679016, 0.36600158885293815, -0.015191781325955634, -0.16913964595921613, 0.2726509231250492, -0.11837357224862056, -0.1693098771394472, 0.10664657498947, 0.22168023417772795, 0.029987132310418895, -0.14834091941722566, -0.02297860578174651, 0.0002922788337821624, 0.136422718581916, 0.04612813530386322, 0.04351826691223929, 0.23748521801273995, 0.1457040214445442, 0.0707638729013356, 0.10128146722207829, -0.02246620296958739, -0.17374144741592723, -0.21510738029179197, -0.12309809816414835, -0.13086974406528665, 0.07902654955870714, -0.13219998550077974, -0.12653080170491227, 0.4046555922228705, 0.14258362309731268, 0.19946504490346545, 0.07180808840213879, 0.17027717015783614, 0.07199193989099176, 0.09691436672195171, 0.05284564974351303, 0.19847484506856375, 0.110288675091902, 0.09274650822152142, -0.20221147425386501, 0.1532967492045524, -0.019033159922670434] |
710.2596 | Sub-Poissonian laser emission from a single-electron permanently
interacting with a single-mode cavity | Quiet (or sub-Poissonian) oscillators generate a number of dissipation events
whose variance is less than the mean. It was shown in 1984 by Golubev and
Sokolov that lasers driven by regular pumps are quiet in that sense. The
purpose of this paper is to show that, as long as the laser-detector system is
strictly stationary, quantization of the optical field is not required to
explain such phenomena. The theory presented here is semi-classical, yet exact.
Previous theories considering excited-state atoms regularly-injected in
resonators, on the other hand, do require in principle light quantization.
Specifically, we consider a laser involving a single electron permanently
interacting with the field and driven by a constant-potential battery, and
point out a similarity with reflex klystrons. The detected noise is found to be
only 7/8 of the shot-noise level. It is therefore sub-Poissonian. Our
calculations are related to resonance-fluorescence treatments but with
different physical interpretations.
| quant-ph | quiet or subpoissonian oscillators generate a number of dissipation events whose variance is less than the mean it was shown in 1984 by golubev and sokolov that lasers driven by regular pumps are quiet in that sense the purpose of this paper is to show that as long as the laserdetector system is strictly stationary quantization of the optical field is not required to explain such phenomena the theory presented here is semiclassical yet exact previous theories considering excitedstate atoms regularlyinjected in resonators on the other hand do require in principle light quantization specifically we consider a laser involving a single electron permanently interacting with the field and driven by a constantpotential battery and point out a similarity with reflex klystrons the detected noise is found to be only 78 of the shotnoise level it is therefore subpoissonian our calculations are related to resonancefluorescence treatments but with different physical interpretations | [['quiet', 'or', 'subpoissonian', 'oscillators', 'generate', 'a', 'number', 'of', 'dissipation', 'events', 'whose', 'variance', 'is', 'less', 'than', 'the', 'mean', 'it', 'was', 'shown', 'in', '1984', 'by', 'golubev', 'and', 'sokolov', 'that', 'lasers', 'driven', 'by', 'regular', 'pumps', 'are', 'quiet', 'in', 'that', 'sense', 'the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'show', 'that', 'as', 'long', 'as', 'the', 'laserdetector', 'system', 'is', 'strictly', 'stationary', 'quantization', 'of', 'the', 'optical', 'field', 'is', 'not', 'required', 'to', 'explain', 'such', 'phenomena', 'the', 'theory', 'presented', 'here', 'is', 'semiclassical', 'yet', 'exact', 'previous', 'theories', 'considering', 'excitedstate', 'atoms', 'regularlyinjected', 'in', 'resonators', 'on', 'the', 'other', 'hand', 'do', 'require', 'in', 'principle', 'light', 'quantization', 'specifically', 'we', 'consider', 'a', 'laser', 'involving', 'a', 'single', 'electron', 'permanently', 'interacting', 'with', 'the', 'field', 'and', 'driven', 'by', 'a', 'constantpotential', 'battery', 'and', 'point', 'out', 'a', 'similarity', 'with', 'reflex', 'klystrons', 'the', 'detected', 'noise', 'is', 'found', 'to', 'be', 'only', '78', 'of', 'the', 'shotnoise', 'level', 'it', 'is', 'therefore', 'subpoissonian', 'our', 'calculations', 'are', 'related', 'to', 'resonancefluorescence', 'treatments', 'but', 'with', 'different', 'physical', 'interpretations']] | [-0.11192880321981474, 0.2012756279333919, -0.058518181478946794, 0.053320270147313976, -0.031431881767906705, -0.17960246358713022, 0.03402358297255448, 0.3894539419434914, -0.2087880537946563, -0.3010998063651072, 0.07328232395427846, -0.29029034322672553, -0.1393705843583535, 0.22596422384958714, -0.09100214755606084, 0.01624364951200986, 0.04182766389329823, 0.055878767285964824, -0.00872809901757508, -0.2196595487232339, 0.2773983156788448, 0.06608583416701072, 0.2739370760165763, 0.00835655195255238, 0.09368679722530299, -0.03849163586368822, -0.0024637933907599575, 0.03620264661137243, -0.06236804979864221, 0.07094590845010972, 0.23301911336325465, 0.04659136172168616, 0.26329192948103153, -0.42488898782908513, -0.25385976146881273, 0.10040790936751227, 0.14058442958187134, 0.13111428834726008, -0.016561498500400406, -0.2631334777490622, 0.06220537143582035, -0.13862476598623455, -0.11015658086596601, -0.06188405834559706, 0.02425419280248485, 0.05726246215160746, -0.243502763118975, 0.0708821020477141, 0.06344928733092181, 0.05454658595388747, -0.025651914221994882, -0.050148839415304465, -0.011062042462975293, 0.05820657084949416, 0.027290887776667213, 0.05315927328675713, 0.15521125080139966, -0.10664418669770706, -0.11373176631758458, 0.3768021398901838, -0.04040576356392256, -0.19968885160684838, 0.2020138389554483, -0.1842738316191652, -0.09527229220562038, 0.13502595088045513, 0.08870816988186264, 0.11186437180533461, -0.1604267133361831, 0.04438000582800038, -0.019630445626748053, 0.18728105233349446, 0.07048144754098386, 0.07388335289306888, 0.21409801373156864, 0.14590793678245575, 0.04559649218374318, 0.11713239324372579, -0.09014803816272947, -0.09563747912405382, -0.2775414808380867, -0.11827908158318146, -0.20664079366948734, 0.10897295701099309, 0.006731555246265738, -0.15703678850245306, 0.3711889906260533, 0.1646209896231691, 0.14675316220580215, 0.002543906777856403, 0.3023451791258947, 0.16964739907238327, 0.06331389985636485, 0.05677976310063077, 0.28714939848944343, 0.14431597373359614, 0.07469184492987131, -0.21357836317727152, 0.030480630233326332, 0.016469303360145515] |
710.2597 | Wheeler's delayed-choice thought experiment: Experimental realization
and theoretical analysis | Wheeler has strikingly illustrated the wave-particle duality by the
delayed-choice thought experiment, in which the configuration of a 2-path
interferometer is chosen after a single-photon light-pulsed has entered it. We
present a quantitative theoretical analysis of an experimental realization of
Wheeler's proposal.
| quant-ph | wheeler has strikingly illustrated the waveparticle duality by the delayedchoice thought experiment in which the configuration of a 2path interferometer is chosen after a singlephoton lightpulsed has entered it we present a quantitative theoretical analysis of an experimental realization of wheelers proposal | [['wheeler', 'has', 'strikingly', 'illustrated', 'the', 'waveparticle', 'duality', 'by', 'the', 'delayedchoice', 'thought', 'experiment', 'in', 'which', 'the', 'configuration', 'of', 'a', '2path', 'interferometer', 'is', 'chosen', 'after', 'a', 'singlephoton', 'lightpulsed', 'has', 'entered', 'it', 'we', 'present', 'a', 'quantitative', 'theoretical', 'analysis', 'of', 'an', 'experimental', 'realization', 'of', 'wheelers', 'proposal']] | [-0.1398081104271114, 0.12465934370532235, -0.24279327268098913, 0.04336180734709359, -0.044225990202948, -0.19917984221630344, 0.04249399075875195, 0.34436388949795466, -0.13776587714191255, -0.28850470510561294, 0.03234214456354427, -0.22559637022091122, -0.16717275291704004, 0.2357338945858362, -0.08355106388377707, 0.05178613624558216, 0.10189208710316296, 0.025938637304778505, -0.018795094543659106, -0.18149437193429416, 0.2367491471331294, 0.19143956029651368, 0.32322383501635094, 0.019866114221058967, 0.16667665100497445, 0.023731518377799812, -0.030664089042125496, -0.006434757894234414, -0.11925528718658336, 0.0716876452107255, 0.2506983433736534, 0.18312285681505028, 0.2863135516825246, -0.43633741862708475, -0.19822406253164135, -0.008490915228499145, 0.0913466767581157, 0.1603762472996761, -0.13401964506724987, -0.4019255725348868, -0.042211156997193654, -0.191340809188238, -0.16152778264453135, -0.013657107926541713, 0.031217725765777797, -0.10122928459469865, -0.21003608570559087, -0.009098550270697692, 0.045821420859727194, 0.01932534866500646, 0.05124947691063692, -0.03279460623587777, 0.06284229759490345, 0.02733260487410717, -0.013233524843732395, 0.0677994937499667, 0.07791115532106743, -0.08874311711548305, -0.24005567389199647, 0.3403966950207222, -0.0144408774312313, -0.11105082170447199, 0.13502375289752352, -0.11330723763647967, -0.08705719648973971, 0.06122623232942892, -0.004354145945753993, 0.07635804085719694, -0.10571249472204505, 0.08048281547181853, -0.16005936685222677, 0.17714363822668064, 0.109712652248762, 0.04833244913961829, 0.2312849353453735, 0.27739150212827796, -0.014118086046925405, 0.18052544606077234, -0.05410138826544692, -0.1329396730743167, -0.3845102677076328, -0.14626348981770074, -0.22549464212866818, 0.09157041047143227, -0.020496286735756368, -0.09546187225865518, 0.3354913981222525, 0.11545716916642539, 0.16338991859882343, -0.09481854579786247, 0.2913106521818696, 0.11140957331602894, 0.04550913694064792, -0.07806288307282801, 0.3350901701374025, 0.16417950773952392, 0.1387264595321584, -0.22792785500017246, 0.06899792825655512, 0.06769480617580617] |
710.2598 | BRST quantization of the pure spinor superstring | We present a derivation of the scattering amplitude prescription for the pure
spinor superstring from first principles, both in the minimal and non-minimal
formulations, and show that they are equivalent. This is achieved by first
coupling the worldsheet action to topological gravity and then proceeding to
BRST quantize this system. Our analysis includes the introduction of constant
ghosts and associated auxiliary fields needed to gauge fix symmetries
associated with zero modes. All fields introduced in the process of
quantization can be integrated out explicitly, resulting in the prescriptions
for computing scattering amplitudes that have appeared previously in the
literature. The zero mode insertions in the path integral follow from the
integration over the constant auxiliary fields.
| hep-th | we present a derivation of the scattering amplitude prescription for the pure spinor superstring from first principles both in the minimal and nonminimal formulations and show that they are equivalent this is achieved by first coupling the worldsheet action to topological gravity and then proceeding to brst quantize this system our analysis includes the introduction of constant ghosts and associated auxiliary fields needed to gauge fix symmetries associated with zero modes all fields introduced in the process of quantization can be integrated out explicitly resulting in the prescriptions for computing scattering amplitudes that have appeared previously in the literature the zero mode insertions in the path integral follow from the integration over the constant auxiliary fields | [['we', 'present', 'a', 'derivation', 'of', 'the', 'scattering', 'amplitude', 'prescription', 'for', 'the', 'pure', 'spinor', 'superstring', 'from', 'first', 'principles', 'both', 'in', 'the', 'minimal', 'and', 'nonminimal', 'formulations', 'and', 'show', 'that', 'they', 'are', 'equivalent', 'this', 'is', 'achieved', 'by', 'first', 'coupling', 'the', 'worldsheet', 'action', 'to', 'topological', 'gravity', 'and', 'then', 'proceeding', 'to', 'brst', 'quantize', 'this', 'system', 'our', 'analysis', 'includes', 'the', 'introduction', 'of', 'constant', 'ghosts', 'and', 'associated', 'auxiliary', 'fields', 'needed', 'to', 'gauge', 'fix', 'symmetries', 'associated', 'with', 'zero', 'modes', 'all', 'fields', 'introduced', 'in', 'the', 'process', 'of', 'quantization', 'can', 'be', 'integrated', 'out', 'explicitly', 'resulting', 'in', 'the', 'prescriptions', 'for', 'computing', 'scattering', 'amplitudes', 'that', 'have', 'appeared', 'previously', 'in', 'the', 'literature', 'the', 'zero', 'mode', 'insertions', 'in', 'the', 'path', 'integral', 'follow', 'from', 'the', 'integration', 'over', 'the', 'constant', 'auxiliary', 'fields']] | [-0.14689990589876883, 0.16950084772442692, -0.08913451446830456, 0.06444333597838867, -0.0958449655525579, -0.10292436982553195, 0.009510030015572456, 0.3463906629597126, -0.238935550528587, -0.26601050157854655, 0.0749407163048404, -0.23411296073604246, -0.17353645415077434, 0.12768157618923176, -0.04413901392274119, 0.02168117760247069, 0.02959981660262264, 0.046922879777286715, -0.08608485817214763, -0.26645906638867894, 0.34963812858091087, 0.007984528137403059, 0.2640254053784984, 0.010489089398420063, 0.12426092157718437, 0.027908454820762613, -0.07821665289169498, -0.0013185858983418037, -0.10838708559772228, 0.09739405659312414, 0.22258095858931734, 0.07829751853092477, 0.16543656184562835, -0.4469987420718475, -0.22453295231539885, 0.049553537267613516, 0.16347298042543618, 0.16159485924812356, 0.000760178643696267, -0.25228613014493523, 0.04951343489088247, -0.1493782385148044, -0.13190935884606383, -0.09039532296873372, 0.0029321866840573735, -0.07966998208249951, -0.24344448807071253, 0.04946854495411289, 0.014874190733374643, 0.038853761675799715, -0.09371811005307948, -0.10839045164476406, -0.030111089587645155, 0.09752004947272483, 0.09556747994416771, 0.06574532381110375, 0.08922488600063812, -0.1550028980107464, -0.14170520858696645, 0.3453723030337454, -0.10021725844728344, -0.23660864152720776, 0.13840789482968957, -0.10029532201186722, -0.1457769779572745, 0.13625693863863927, 0.10976941197115028, 0.1215862014836728, -0.18443367210445635, 0.17567932952982213, 0.0395602035930316, 0.09602026901496895, 0.0984273655059073, 0.04883129329918402, 0.20119321619037284, 0.03333692042887661, 0.03007352884541715, 0.12142546119565818, -0.022405735238110003, -0.12877693896759942, -0.42985996268368487, -0.16019249608708097, -0.1257078571077978, 0.0813500811616842, -0.06228974151097896, -0.14166732514196814, 0.36288432788168046, 0.18392307371712, 0.14406847243261492, 0.06972578161893862, 0.2670977860789521, 0.18282195881253976, 0.13828283961177884, 0.05408290068916013, 0.26250318742200635, 0.18668144947953585, 0.08633914935213899, -0.25510345740998486, -0.0742252998471517, 0.09024264591200085] |
710.2599 | Heavy-flavor correlation measurements via electron azimuthal
correlations with open charm mesons | We report first STAR measurement on two heavy-flavor particle correlations in
p+p collisions at RHIC. Heavy-flavor (charm and bottom) events are identified
and separated on a statistical basis by the azimuthal correlation of their
decay electrons and open charm mesons, which yield important information about
the underlying production mechanism. The azimuthal correlation distribution
exhibits a two-peak structure which can be attributed to B decays on the
near-side and predominantly charm pair production on the away-side. These
assumptions are supported by dedicated simulations using PYTHIA and MC@NLO
event generators. This novel correlation technique will allow comprehensive
energy-loss measurements of heavy quarks in heavy-ion collisions.
| nucl-ex | we report first star measurement on two heavyflavor particle correlations in pp collisions at rhic heavyflavor charm and bottom events are identified and separated on a statistical basis by the azimuthal correlation of their decay electrons and open charm mesons which yield important information about the underlying production mechanism the azimuthal correlation distribution exhibits a twopeak structure which can be attributed to b decays on the nearside and predominantly charm pair production on the awayside these assumptions are supported by dedicated simulations using pythia and mcnlo event generators this novel correlation technique will allow comprehensive energyloss measurements of heavy quarks in heavyion collisions | [['we', 'report', 'first', 'star', 'measurement', 'on', 'two', 'heavyflavor', 'particle', 'correlations', 'in', 'pp', 'collisions', 'at', 'rhic', 'heavyflavor', 'charm', 'and', 'bottom', 'events', 'are', 'identified', 'and', 'separated', 'on', 'a', 'statistical', 'basis', 'by', 'the', 'azimuthal', 'correlation', 'of', 'their', 'decay', 'electrons', 'and', 'open', 'charm', 'mesons', 'which', 'yield', 'important', 'information', 'about', 'the', 'underlying', 'production', 'mechanism', 'the', 'azimuthal', 'correlation', 'distribution', 'exhibits', 'a', 'twopeak', 'structure', 'which', 'can', 'be', 'attributed', 'to', 'b', 'decays', 'on', 'the', 'nearside', 'and', 'predominantly', 'charm', 'pair', 'production', 'on', 'the', 'awayside', 'these', 'assumptions', 'are', 'supported', 'by', 'dedicated', 'simulations', 'using', 'pythia', 'and', 'mcnlo', 'event', 'generators', 'this', 'novel', 'correlation', 'technique', 'will', 'allow', 'comprehensive', 'energyloss', 'measurements', 'of', 'heavy', 'quarks', 'in', 'heavyion', 'collisions']] | [-0.06752084856129532, 0.2558084348560248, -0.18364658215291146, 0.20061455060641994, -0.020572120294390806, -0.12105764816650777, -0.03334356880480044, 0.3817873529759823, -0.2370371843407889, -0.2671402722090772, -0.07800628670301397, -0.40936985606490406, 0.0885600540967821, 0.12259807638050899, 0.12481346259852058, 0.12244760937925464, 0.18944654377342374, -0.05993192698761315, -0.03599988345906717, -0.17982043529966918, 0.3189314048063661, 0.09815806817733547, 0.21841384080301934, 0.20948580894800065, 0.015171443238782072, 0.061182969249784946, -0.10298633290052378, -0.03540555341169238, -0.11561824811296989, 0.05212482640992181, 0.1978498320389105, 0.0510240656310168, 0.12376229728129014, -0.38624219618086675, -0.10251940633125096, 0.05057582335130682, 0.2002358329979685, 0.05220470028941845, -0.118271824953517, -0.2967328123558421, 0.08889579678008568, -0.21424586002633556, -0.06321943793626665, -0.08164589428930606, -0.030526195702513734, 0.013087779536698629, -0.32795585066959426, 0.14846441387515336, -0.03381559335585973, 0.11164155065814413, 0.05013637880125599, -0.1715227665506231, -0.0913454819181301, -0.0020329497903766275, 0.09762143638455173, 0.11975316935726352, 0.210249153151204, -0.11397258792687388, -0.22819290531503073, 0.3646962631728898, -0.003432144304665113, -0.15823526239221536, 0.19296003463316383, -0.23825996044516853, -0.14498722038765266, 0.13816457936196652, 0.30826807957938285, 0.060087869079439964, -0.24552400625430645, 0.0021588213315676644, -0.011032073921297939, 0.18454792672311615, 0.07759455065423786, 0.12697121077465814, 0.23467658649117334, 0.1962015902153352, -0.08105422978208048, 0.05083148989677248, -0.12799483155650856, -0.07225820481849526, -0.3948179488929296, -0.08905985400315772, -0.10456656711628136, 0.06956633344039466, -0.054858721285641364, -0.07769439176394088, 0.4109669048881647, 0.0646175054010474, 0.24971821857616305, -0.09707984551154439, 0.2903104570142708, 0.038881101888532124, 0.04549965258400652, 0.12246156773457612, 0.2693767516864735, 0.18669653867134878, 0.1914868139779394, -0.2652048113918637, 0.13658980892302053, 0.051973694392923014] |
710.26 | A Possibility of Search for New Physics at LHCb | It is interesting to search for new physics beyond the standard model at
LHCb. We suggest that weak decays of doubly charmed baryon such as
$\Xi_{cc}(3520)^+, \Xi_{cc}^{++}$ to charmless final states would be a possible
signal for new physics. In this work, we consider two models, i.e. the
unparticle and $Z'$ as examples to study such possibilities. We also discuss
the cases for $\Xi^0_{bb}, \Xi_{bb}^-$ which have not been observed yet, but
one can expect to find them when LHCb begins running. Our numerical results
show that these two models cannot result in sufficiently large decay widths,
therefore if such modes are observed at LHCb, there must be a new physics other
than the unparticle or $Z'$ models.
| hep-ph hep-ex | it is interesting to search for new physics beyond the standard model at lhcb we suggest that weak decays of doubly charmed baryon such as xi_cc3520 xi_cc to charmless final states would be a possible signal for new physics in this work we consider two models ie the unparticle and z as examples to study such possibilities we also discuss the cases for xi0_bb xi_bb which have not been observed yet but one can expect to find them when lhcb begins running our numerical results show that these two models cannot result in sufficiently large decay widths therefore if such modes are observed at lhcb there must be a new physics other than the unparticle or z models | [['it', 'is', 'interesting', 'to', 'search', 'for', 'new', 'physics', 'beyond', 'the', 'standard', 'model', 'at', 'lhcb', 'we', 'suggest', 'that', 'weak', 'decays', 'of', 'doubly', 'charmed', 'baryon', 'such', 'as', 'xi_cc3520', 'xi_cc', 'to', 'charmless', 'final', 'states', 'would', 'be', 'a', 'possible', 'signal', 'for', 'new', 'physics', 'in', 'this', 'work', 'we', 'consider', 'two', 'models', 'ie', 'the', 'unparticle', 'and', 'z', 'as', 'examples', 'to', 'study', 'such', 'possibilities', 'we', 'also', 'discuss', 'the', 'cases', 'for', 'xi0_bb', 'xi_bb', 'which', 'have', 'not', 'been', 'observed', 'yet', 'but', 'one', 'can', 'expect', 'to', 'find', 'them', 'when', 'lhcb', 'begins', 'running', 'our', 'numerical', 'results', 'show', 'that', 'these', 'two', 'models', 'can', 'not', 'result', 'in', 'sufficiently', 'large', 'decay', 'widths', 'therefore', 'if', 'such', 'modes', 'are', 'observed', 'at', 'lhcb', 'there', 'must', 'be', 'a', 'new', 'physics', 'other', 'than', 'the', 'unparticle', 'or', 'z', 'models']] | [-0.0315652974758897, 0.21667270743982645, -0.07373010158791381, 0.15668401519878436, -0.09965103045421636, -0.20384201339556504, 0.029253022710721686, 0.33348849139539366, -0.24729760685714625, -0.2885184053063266, 0.05365617556292248, -0.3299924529599563, -0.0936474806680423, 0.1961211870459966, 0.05717611401756215, 0.06482064567301106, 0.09723931377343202, 0.017211710868434885, -0.029886528064784895, -0.2534674685625991, 0.2635637205646579, -0.004863742052309088, 0.16632784172592652, 0.11835441979484916, -0.007302777944290537, -0.0784547507399851, -0.0045336178559178516, 0.0035097066726493876, -0.1394703215333659, 0.030905639016270733, 0.2548536277749224, 0.16180331829611716, 0.21006354852579534, -0.3716314296569612, -0.17222491944587584, 0.1928402106830124, 0.21461984083072236, 0.1745839066225325, -0.08147813462044538, -0.3167354834376503, 0.14194945058878117, -0.18584493055576617, -0.11183060000855792, -0.12854735947892829, 0.0245931808820973, -0.06036865876364064, -0.29822963893697674, 0.058748375862921684, -0.01220079485950518, -0.016178323611048824, 0.01638023186301402, -0.20689720825008037, -0.008337467441224825, 0.04205656655540224, 0.1188919992078593, 0.029684999154612295, 0.09189708403832579, -0.14596476580777948, -0.1953371912004205, 0.38765452191296773, -0.06515038696424029, -0.16481732065252708, 0.23478660876547003, -0.20094120489054565, -0.20933744921033287, 0.06370497071105292, 0.21979394113108264, 0.051294005558810245, -0.15837675867214013, 0.07798032616156596, -0.05790247652340302, 0.16695300697633145, 0.026230433663763736, 0.09604418292539037, 0.23456207337647172, 0.1774504622622093, 0.029868471926528077, 0.0706999716985284, -0.05871637133129868, -0.03254554105450999, -0.3681459279446784, -0.13991055952708664, -0.11029574151892783, 0.06809072155466943, 0.0019536570773383017, -0.08362991446471316, 0.3687878798819699, 0.13328984518282874, 0.26798168387485005, 0.019610130844708785, 0.27608649781510486, 0.09372869514666846, 0.09497856603682799, 0.08006123866554413, 0.3374825281217315, 0.07762697451921591, 0.10512571575877777, -0.17770012799143334, 0.04095006103911516, 0.012022940962875293] |
710.2601 | New Physics Effects in Long Baseline Experiments | We discuss the implications of new physics, which modifies the matter effect
in neutrino oscillations, to long baseline experiments, particularly the MINOS
experiment. An analytic formula in the presence of such a new physics
interaction is derived for $P(\nu_\mu\to\nu_e)$, which is exact in the limit
$\Delta m^2_{21}\to0$.
| hep-ph | we discuss the implications of new physics which modifies the matter effect in neutrino oscillations to long baseline experiments particularly the minos experiment an analytic formula in the presence of such a new physics interaction is derived for pnu_mutonu_e which is exact in the limit delta m2_21to0 | [['we', 'discuss', 'the', 'implications', 'of', 'new', 'physics', 'which', 'modifies', 'the', 'matter', 'effect', 'in', 'neutrino', 'oscillations', 'to', 'long', 'baseline', 'experiments', 'particularly', 'the', 'minos', 'experiment', 'an', 'analytic', 'formula', 'in', 'the', 'presence', 'of', 'such', 'a', 'new', 'physics', 'interaction', 'is', 'derived', 'for', 'pnu_mutonu_e', 'which', 'is', 'exact', 'in', 'the', 'limit', 'delta', 'm2_21to0']] | [-0.12210551647262441, 0.16031508343585302, -0.09101002189434237, 0.17186803998322123, -0.11067287445896201, -0.10208810599934724, 0.02258162647485733, 0.24855589361654387, -0.2521029824184047, -0.3172364555713203, 0.05522732529013107, -0.2759045766770012, -0.1391518481903606, 0.2532387449509568, 0.037487717738582026, 0.015105429622862074, 0.05139087993237707, 0.020492464159097938, -0.11124759343349272, -0.1656509993183944, 0.25146418259375625, 0.12881371639668943, 0.26724480845861964, 0.14686117387480205, 0.07975372986661064, -0.0193011950649735, -0.02692532799103194, -0.02855768447948827, -0.11272344208199582, 0.02882594797346327, 0.22025221449762789, 0.08724170222671496, 0.18158070656160513, -0.439992335687081, -0.2047417591015498, 0.11741211925529771, 0.13238833892262644, 0.15191577902167208, -0.116656670305464, -0.3259520193354951, 0.004102409775886271, -0.20127682176729042, -0.171519891358912, -0.02225504908710718, 0.04845883887675073, 0.0053259409653643765, -0.3053924778269397, 0.07728805798364596, 0.03455598876915044, 0.0041656884675224624, -0.03804501915971438, -0.1368714873989423, 0.10236629514644544, 0.11108475483746992, 0.10507558227206269, -0.0056882770628564885, 0.05967880654562679, -0.20392941317210594, -0.09612603183421824, 0.389484271634784, -0.14199953369485835, -0.1510715709792243, 0.14928004666645495, -0.1806554454482264, -0.1384447912271652, 0.053183380514383316, 0.1383761345098416, 0.08245732873264286, -0.1545817623535792, 0.1320919688997997, -0.08648575573331779, 0.12804118403130108, 0.025459116278216242, 0.04232671331200335, 0.2442994370435675, 0.2695433807869752, 0.05910739477516876, 0.07551328972395924, -0.14653127887803646, -0.09422339252713653, -0.3701615300443437, -0.11596083447802812, -0.12886604331433774, 0.03549818401742313, -0.046621893853363065, -0.14359227426660556, 0.40850400576988855, 0.18606308098468516, 0.18491313941776752, -0.020607837222309577, 0.2709477379918098, 0.10453531050847636, 0.028233612204591432, 0.004301039170887735, 0.3364562076412969, 0.1146363194204039, 0.10223264903244045, -0.28805912376071013, 0.03569892992575963, 0.054415026017361215] |
710.2602 | Prospects to Measure the Higgs Boson Mass and Cross Section in ee-->ZH
Using the Recoil Mass Spectrum | The process ee-->ZH allows to measure the Higgs boson in the recoil mass
spectrum against the Z boson without any assumptions on the Higgs boson decay.
We performed a full simulation and reconstruction of ee-->ZH using the MOKKA
and MARLIN packages describing the LDC detector. The Z is reconstructed from
its decays into electrons and muons. The mass of the Higgs boson is set to 120
GeV. Assuming a centre-of-mass energy of 250 GeV and an integrated luminosity
of 50/fb the Higgs boson mass and the Higgs-strahlung cross section can be
measured with a precision of 120 MeV and 9%, respectively.
| hep-ex | the process eezh allows to measure the higgs boson in the recoil mass spectrum against the z boson without any assumptions on the higgs boson decay we performed a full simulation and reconstruction of eezh using the mokka and marlin packages describing the ldc detector the z is reconstructed from its decays into electrons and muons the mass of the higgs boson is set to 120 gev assuming a centreofmass energy of 250 gev and an integrated luminosity of 50fb the higgs boson mass and the higgsstrahlung cross section can be measured with a precision of 120 mev and 9 respectively | [['the', 'process', 'eezh', 'allows', 'to', 'measure', 'the', 'higgs', 'boson', 'in', 'the', 'recoil', 'mass', 'spectrum', 'against', 'the', 'z', 'boson', 'without', 'any', 'assumptions', 'on', 'the', 'higgs', 'boson', 'decay', 'we', 'performed', 'a', 'full', 'simulation', 'and', 'reconstruction', 'of', 'eezh', 'using', 'the', 'mokka', 'and', 'marlin', 'packages', 'describing', 'the', 'ldc', 'detector', 'the', 'z', 'is', 'reconstructed', 'from', 'its', 'decays', 'into', 'electrons', 'and', 'muons', 'the', 'mass', 'of', 'the', 'higgs', 'boson', 'is', 'set', 'to', '120', 'gev', 'assuming', 'a', 'centreofmass', 'energy', 'of', '250', 'gev', 'and', 'an', 'integrated', 'luminosity', 'of', '50fb', 'the', 'higgs', 'boson', 'mass', 'and', 'the', 'higgsstrahlung', 'cross', 'section', 'can', 'be', 'measured', 'with', 'a', 'precision', 'of', '120', 'mev', 'and', '9', 'respectively']] | [-0.023432469328067133, 0.22155792487215617, -0.06032240790390999, 0.14809878020882097, -0.03347710311342725, -0.1338863596510218, 0.03814619118751654, 0.354719371991042, -0.20686297284971392, -0.3311133778330927, -0.010634430471513117, -0.3235157635183209, 0.1384122785827031, 0.19399921408048426, 0.09653625321783582, 0.1160888084470608, 0.1437007316426203, 0.02816879296466252, -0.06414255407657854, -0.2449575499465157, 0.2755011906348435, 0.09712219793273479, 0.17612201705983632, 0.10498182521115844, 0.1436191599397939, 0.0788447860419294, -0.03811364389518846, -0.13232660491247566, -0.15072413303471188, 0.05419645364377267, 0.1320832931907011, 0.09665941431339146, 0.13341818841136233, -0.24239596732112825, -0.059221595673042596, 0.17167243206094265, 0.1460708798745609, 0.041315546363820226, -0.0638603227348447, -0.3680258054305248, 0.15509850375487336, -0.23377570388743615, -0.0771327489245759, 0.026040404163091918, -0.06776381115790228, -0.08895563819132062, -0.33221470139806675, 0.09487397371487198, -0.09946678029563354, 0.04235671101493181, -0.02409192179602913, -0.1651949964473214, -0.1273697954768847, -0.029207469111460507, 0.1247460290416006, 0.08339027851245043, 0.23351485307366415, -0.16546189851526702, -0.1823456102236155, 0.3852692925352223, -0.0809043988452426, -0.15306173168284323, 0.16546041776939313, -0.18554379876550972, -0.06633107607699551, 0.2119259538547117, 0.24109467252024583, 0.008620749799088024, -0.20651607421625937, 0.1880894038144366, 0.012957696498808811, 0.22216458388661242, 0.04951883065609299, 0.02081318020022341, 0.22569306656642227, 0.2050029044502833, -0.01647650088392654, 0.031171610941207607, -0.18778986697636393, 0.007381483368404514, -0.41362647716031997, -0.18212208524346352, -0.06543548731133342, 0.10602685868768591, -0.07193847679401207, -0.055038975988875846, 0.4141684290572849, 0.08087358992470771, 0.30432482670080296, 0.017109644998397146, 0.3077366825725351, 0.1289692981329293, 0.09911636813172217, 0.06545235617656489, 0.33423428969191654, 0.20156359506238783, 0.1310391229130708, -0.17323331893849359, -0.07059295044271086, 0.03723041851748237] |
710.2603 | Dynamics of coreless vortices and rotation-induced dissipation peak in
superfluid films on rotating porous substrates | We analyze dynamics of 3D coreless vortices in superfluid films covering
porous substrates. The 3D vortex dynamics is derived from the 2D dynamics of
the film. The motion of a 3D vortex is a sequence of jumps between neighboring
substrate cells, which can be described, nevertheless, in terms of
quasi-continuous motion with average vortex velocity. The vortex velocity is
derived from the dissociation rate of vortex-antivortex pairs in a 2D film,
which was developed in the past on the basis of the Kosterlitz-Thouless theory.
The theory explains the rotation-induced dissipation peak in torsion-oscillator
experiments on $^4$He films on rotating porous substrates and can be used in
the analysis of other phenomena related to vortex motion in films on porous
substrates.
| cond-mat.soft cond-mat.mtrl-sci | we analyze dynamics of 3d coreless vortices in superfluid films covering porous substrates the 3d vortex dynamics is derived from the 2d dynamics of the film the motion of a 3d vortex is a sequence of jumps between neighboring substrate cells which can be described nevertheless in terms of quasicontinuous motion with average vortex velocity the vortex velocity is derived from the dissociation rate of vortexantivortex pairs in a 2d film which was developed in the past on the basis of the kosterlitzthouless theory the theory explains the rotationinduced dissipation peak in torsionoscillator experiments on 4he films on rotating porous substrates and can be used in the analysis of other phenomena related to vortex motion in films on porous substrates | [['we', 'analyze', 'dynamics', 'of', '3d', 'coreless', 'vortices', 'in', 'superfluid', 'films', 'covering', 'porous', 'substrates', 'the', '3d', 'vortex', 'dynamics', 'is', 'derived', 'from', 'the', '2d', 'dynamics', 'of', 'the', 'film', 'the', 'motion', 'of', 'a', '3d', 'vortex', 'is', 'a', 'sequence', 'of', 'jumps', 'between', 'neighboring', 'substrate', 'cells', 'which', 'can', 'be', 'described', 'nevertheless', 'in', 'terms', 'of', 'quasicontinuous', 'motion', 'with', 'average', 'vortex', 'velocity', 'the', 'vortex', 'velocity', 'is', 'derived', 'from', 'the', 'dissociation', 'rate', 'of', 'vortexantivortex', 'pairs', 'in', 'a', '2d', 'film', 'which', 'was', 'developed', 'in', 'the', 'past', 'on', 'the', 'basis', 'of', 'the', 'kosterlitzthouless', 'theory', 'the', 'theory', 'explains', 'the', 'rotationinduced', 'dissipation', 'peak', 'in', 'torsionoscillator', 'experiments', 'on', '4he', 'films', 'on', 'rotating', 'porous', 'substrates', 'and', 'can', 'be', 'used', 'in', 'the', 'analysis', 'of', 'other', 'phenomena', 'related', 'to', 'vortex', 'motion', 'in', 'films', 'on', 'porous', 'substrates']] | [-0.12038198167442524, 0.17867844997848453, -0.0843967694256987, -0.025413009581672606, -0.006117651372083596, -0.0809125912438358, 0.006903805017682622, 0.3952620937762892, -0.27618075830533223, -0.2299651149269037, 0.04110403651735518, -0.26601457730436523, -0.11021777045200853, 0.21798791255833222, -0.028553551321207474, 0.05386002968601538, 0.006339083014823058, -0.04479767446320097, -0.053682188331266915, -0.1906437175739713, 0.2818242064559785, -0.027430332751021164, 0.3561690536977238, 0.028154770194106744, 0.06301370254490807, -0.0781347577914032, 0.0639307049157865, 0.05810699299635256, -0.20664873120508023, 0.08610842882522515, 0.1806896894137148, -0.0680470417151932, 0.14465214166508503, -0.5386861042283914, -0.26368022934013213, -0.0024068593947576874, 0.17989292983435282, 0.15704621753984077, -0.05031797082355136, -0.29964808963567896, 0.015116497209029538, -0.10230256392358325, -0.120019502131691, -0.03032058440618405, 0.03958543039420072, 0.09400699152063359, -0.2265299497125279, 0.12052355085483932, 0.06711220410222016, 0.08392814383255083, -0.11003468719021488, -0.04590791882947087, -0.1280346580178422, 0.0696111592041532, 0.036931666015342125, 0.046970025127550136, 0.21302416921053238, -0.17721448448181404, -0.08436082132129359, 0.4167421015621233, -0.06796196502234254, -0.1729060654888446, 0.1796981002783262, -0.19115019107957473, 0.0013545838521183038, 0.2165988527175759, 0.1871106601672388, 0.13307506247020537, -0.11044259665205199, 0.011602457941027003, -0.08484241833612949, 0.187556291327757, 0.10278662875443384, -0.014317792691603428, 0.2661528048895988, 0.26421389141816554, -0.01255902087613314, 0.1365592594736866, -0.17528150951442847, -0.12503819608622613, -0.23454804061090245, -0.19254001896797107, -0.21449643522970566, 0.026030667941085994, -0.06812478991275743, -0.19253588662709759, 0.37098165042698383, 0.09467753421264787, 0.17675300274203734, -0.061356633529849665, 0.2304976412854275, 0.06782818889096692, 0.06571642159163452, 0.013685983194805244, 0.25149621842468173, 0.17978596695925758, 0.1550874585489265, -0.25764012720999346, 0.05633062730003305, 0.10878329610544014] |
710.2604 | Efficient Skyline Querying with Variable User Preferences on Nominal
Attributes | Current skyline evaluation techniques assume a fixed ordering on the
attributes. However, dynamic preferences on nominal attributes are more
realistic in known applications. In order to generate online response for any
such preference issued by a user, we propose two methods of different
characteristics. The first one is a semi-materialization method and the second
is an adaptive SFS method. Finally, we conduct experiments to show the
efficiency of our proposed algorithms.
| cs.DB | current skyline evaluation techniques assume a fixed ordering on the attributes however dynamic preferences on nominal attributes are more realistic in known applications in order to generate online response for any such preference issued by a user we propose two methods of different characteristics the first one is a semimaterialization method and the second is an adaptive sfs method finally we conduct experiments to show the efficiency of our proposed algorithms | [['current', 'skyline', 'evaluation', 'techniques', 'assume', 'a', 'fixed', 'ordering', 'on', 'the', 'attributes', 'however', 'dynamic', 'preferences', 'on', 'nominal', 'attributes', 'are', 'more', 'realistic', 'in', 'known', 'applications', 'in', 'order', 'to', 'generate', 'online', 'response', 'for', 'any', 'such', 'preference', 'issued', 'by', 'a', 'user', 'we', 'propose', 'two', 'methods', 'of', 'different', 'characteristics', 'the', 'first', 'one', 'is', 'a', 'semimaterialization', 'method', 'and', 'the', 'second', 'is', 'an', 'adaptive', 'sfs', 'method', 'finally', 'we', 'conduct', 'experiments', 'to', 'show', 'the', 'efficiency', 'of', 'our', 'proposed', 'algorithms']] | [-0.09500862155608567, -0.004425940787145269, -0.06608582971883671, 0.07407057566368687, -0.12276174623319613, -0.11441863621585072, 0.07947085342769111, 0.4552141655901713, -0.24616007675150675, -0.3276848891217794, 0.09451132437679917, -0.2962000081847821, -0.18812862134405545, 0.20939065244581018, -0.05617087028055851, 0.06552438563002007, 0.03929662997169154, 0.08685062123861696, -0.08645189602726272, -0.2909663461414831, 0.32054101851369654, 0.006061457290447184, 0.3339650493514325, 0.023988404144932116, 0.10257674441672862, 0.012824129339839731, -0.0413577087556145, 0.060578711610287425, -0.11137962997724701, 0.13160241192339786, 0.27321057512557934, 0.17922167418790716, 0.3372997868007847, -0.4020398383161851, -0.20583129273727535, 0.05971319384906175, 0.07218737719979669, 0.10088803499404873, -0.07758724199312772, -0.28193921063627514, 0.1337916593067348, -0.18287831286766698, -0.029631259764677714, -0.12054925195074508, -0.03349611136862742, 0.04491642187100037, -0.3520638586155006, -0.008103893068619073, 0.04927803430972355, 0.054521945557956183, -0.06244865067170135, -0.10041250281501561, 0.054751713164815946, 0.15749975369045777, 0.01924424426231001, -0.0406786846130022, 0.12038961711472698, -0.12357058023751182, -0.2155241855021034, 0.39521469473838805, -0.03562405357453307, -0.2225255445311112, 0.20018395748255507, -0.06770411598762231, -0.14658697273449173, 0.0957707589625248, 0.20933478854962492, 0.17655225402808616, -0.14619890255853535, -0.0021999028552922286, -0.04581415866102491, 0.20637119449675084, 0.006674137462063559, -0.028926296006622058, 0.16262515550479292, 0.21364721948547022, 0.11483334096514487, 0.12693878865933844, -0.10212105145411832, -0.05320724368627582, -0.2352401175137077, -0.12157736523409507, -0.18430222421884537, -0.03974470747634769, -0.09284493465487945, -0.14652699765616228, 0.40527236232800146, 0.26290926842817236, 0.20041814761768495, 0.04784601064664977, 0.3708729358389974, 0.0826128775736184, 0.06240064868969577, 0.06277291923761368, 0.15785296446078323, -0.031796221418439276, 0.11941497824820024, -0.19982431773304207, 0.14667773031895714, 0.030809479605938706] |
710.2605 | Gravitational waves from the R^-1 high order theory of gravity | This paper is a review of a previous research on gravitational waves from the
R^-1 high order theory of gravity. It is shown that a massive scalar mode of
gravitational waves from the R^-1 theory generates a longitudinal force in
addition of the transverse one which is proper of the massless gravitational
waves and the response of an arm of an interferometer to this longitudinal
effect in the frame of a local observer is computed. Important conseguences
from a theoretical point of view could arise from this approach, because it
opens to the possibility of using the signals seen from interferometers to
understand which is the correct theory of gravitation.
| astro-ph | this paper is a review of a previous research on gravitational waves from the r1 high order theory of gravity it is shown that a massive scalar mode of gravitational waves from the r1 theory generates a longitudinal force in addition of the transverse one which is proper of the massless gravitational waves and the response of an arm of an interferometer to this longitudinal effect in the frame of a local observer is computed important conseguences from a theoretical point of view could arise from this approach because it opens to the possibility of using the signals seen from interferometers to understand which is the correct theory of gravitation | [['this', 'paper', 'is', 'a', 'review', 'of', 'a', 'previous', 'research', 'on', 'gravitational', 'waves', 'from', 'the', 'r1', 'high', 'order', 'theory', 'of', 'gravity', 'it', 'is', 'shown', 'that', 'a', 'massive', 'scalar', 'mode', 'of', 'gravitational', 'waves', 'from', 'the', 'r1', 'theory', 'generates', 'a', 'longitudinal', 'force', 'in', 'addition', 'of', 'the', 'transverse', 'one', 'which', 'is', 'proper', 'of', 'the', 'massless', 'gravitational', 'waves', 'and', 'the', 'response', 'of', 'an', 'arm', 'of', 'an', 'interferometer', 'to', 'this', 'longitudinal', 'effect', 'in', 'the', 'frame', 'of', 'a', 'local', 'observer', 'is', 'computed', 'important', 'conseguences', 'from', 'a', 'theoretical', 'point', 'of', 'view', 'could', 'arise', 'from', 'this', 'approach', 'because', 'it', 'opens', 'to', 'the', 'possibility', 'of', 'using', 'the', 'signals', 'seen', 'from', 'interferometers', 'to', 'understand', 'which', 'is', 'the', 'correct', 'theory', 'of', 'gravitation']] | [-0.1665862076477908, 0.130459896983299, -0.15341435502862147, 0.03489489486620445, -0.09569140123801494, -0.06213312769530836, -0.012938725717211946, 0.29322091452435617, -0.2544876391563667, -0.27091586323232825, 0.04815157283088961, -0.27389629918295855, -0.1936431656892779, 0.2061635275764408, -0.020306048656326778, 0.017905044676992325, 0.0116442164498031, 0.08382902936497276, -0.02939359779542295, -0.15059419155308823, 0.3082528908249982, 0.09807427617114618, 0.24874462730704097, 0.021408983352465914, 0.12296367828828206, -0.002648966826942809, -0.05164303093157504, 0.042576316914974, -0.0719528861513811, 0.11403015773709214, 0.2193103597666043, 0.11360085974746478, 0.2839552475130954, -0.42332526031505624, -0.24699363242322153, 0.05205853573055169, 0.1118528529608605, 0.20812050989025846, -0.0315309620426045, -0.29685978311190914, 0.04535876067970461, -0.16965611000468425, -0.16686771356355434, 0.023700461289290032, 0.040843143503805364, -0.0329748118518416, -0.26544706224369896, 0.07305385113839026, 0.045477901457236444, 0.011365017247569978, -0.05331640635454737, -0.044861026847342014, -0.006382653694770752, 0.09242457024103731, 0.125237430029318, 0.13603374198796825, 0.11721223892233924, -0.1471508600591007, -0.10393200846444474, 0.43678077132603443, -0.08096246071557146, -0.16716806848806867, 0.17611464714939032, -0.1800862675823203, -0.09903116381103429, 0.1377786143400937, 0.17925906774199166, 0.13581334893514804, -0.13876815752869626, 0.07465350320252992, -0.02345747012354502, 0.15433524438279356, 0.07967248749961957, 0.04834314139662396, 0.31630012331479185, 0.13765297044034397, 0.05363422173391515, 0.12928759197302914, -0.10360181704377157, -0.0371937148161916, -0.34328286959779014, -0.1381002973098684, -0.1622238005903964, 0.055200783399130225, -0.052099563920343886, -0.14800433999588586, 0.40211458307682374, 0.18068541744641145, 0.13690360414223113, 0.0054262246650327505, 0.32036387633293045, 0.11269318594259782, 0.07849213481803827, 0.01610712713450877, 0.3367018821999567, 0.16321401027193583, 0.09451871618004772, -0.20965890989878103, -0.012547530020253921, 0.022288732175125715] |
710.2606 | The representation dimension of quantum complete intersections | We study the representation dimension of the class of algebras known as
quantum complete intersections. For such an algebra, we show that the
representation dimension is at most twice its codimension. Moreover, we show
that the representation dimension of a "homogeneous" quantum complete
intersection is strictly larger than its codimension.
| math.QA math.RT | we study the representation dimension of the class of algebras known as quantum complete intersections for such an algebra we show that the representation dimension is at most twice its codimension moreover we show that the representation dimension of a homogeneous quantum complete intersection is strictly larger than its codimension | [['we', 'study', 'the', 'representation', 'dimension', 'of', 'the', 'class', 'of', 'algebras', 'known', 'as', 'quantum', 'complete', 'intersections', 'for', 'such', 'an', 'algebra', 'we', 'show', 'that', 'the', 'representation', 'dimension', 'is', 'at', 'most', 'twice', 'its', 'codimension', 'moreover', 'we', 'show', 'that', 'the', 'representation', 'dimension', 'of', 'a', 'homogeneous', 'quantum', 'complete', 'intersection', 'is', 'strictly', 'larger', 'than', 'its', 'codimension']] | [-0.13892500322312118, 0.08395944533200236, -0.04482363567687571, 0.0586899401852861, -0.05456761912442744, -0.10800744221545756, -0.08293714710511267, 0.3229631716758013, -0.2831896490161307, -0.1411703890375793, 0.1189840509975329, -0.2880099867656827, -0.1911803836748004, 0.2065465465374291, -0.08797333602793515, -0.03793364170473069, 0.06927389167249202, 0.1900945963896811, -0.09979640155099333, -0.30480830401182174, 0.42029292725026607, -0.03538915286771953, 0.25732257903553546, 0.051168924532830715, 0.11933721460402012, 0.01647938445210457, 0.043849809961393475, 0.06777628265321255, -0.15621807064075255, 0.14728090215474368, 0.26930684169288727, 0.12446826852392405, 0.2155924441665411, -0.3412358176708221, -0.19405839264392852, 0.19056100880960003, 0.15497909791767597, 0.11442893421277404, 0.03017665633931756, -0.2134458553045988, 0.14804920819588005, -0.16167137432843448, -0.23021655661985277, -0.09537473380565643, 0.07680791494436562, -0.11858867258299143, -0.235068583432585, 0.0018731936067342759, 0.15682199066504837, 0.15056310107931495, -0.05353697652928531, -0.1036828057654202, -0.0846775144804269, 0.06799818901577964, -0.08182172284461559, 0.03124555803369731, 0.07505695498548448, -0.14978980481624604, -0.18279214471112937, 0.35495608639903364, 0.00732007408834761, -0.21067140512168409, 0.22893150076270102, -0.20056807290762663, -0.1223269198089838, 0.08640855256468058, 0.11769369333982467, 0.18164571464061738, -0.02007131975144148, 0.15280669804662467, -0.10704409976489843, 0.13198049806058407, 0.07889123497530819, 0.07153693297877908, 0.10430904544889927, 0.17158191247843205, 0.17348835553973913, 0.1571056158095598, -0.026881572101265194, -0.06755408223718405, -0.3599355699121952, -0.2399869300238788, -0.1977652981877327, 0.17473768735770137, -0.14368382115848363, -0.16725518319755792, 0.4199875021725893, 0.09212813459336758, 0.2069628443196416, 0.1252821539156139, 0.2872317810356617, 0.11413203077157959, 0.10135129159316421, 0.14458827073685826, 0.13854128267616034, 0.14053296580910682, -0.05473972352221608, -0.11658320656511932, -0.010653267153538764, 0.1809355751797557] |
710.2607 | Localization of overlap modes and topological charge, vortices and
monopoles in SU(3) LGT | We present selected recent results of the QCDSF collaboration on the
localization and dimensionality of low overlap eigenmodes and of the
topological density in the quenched SU(3) vacuum. We discuss the correlations
between the topological structure revealed by overlap fermions without
filtering and the confining monopole and P-vortex structure obtained in the
Indirect Maximal Center Gauge.
| hep-lat | we present selected recent results of the qcdsf collaboration on the localization and dimensionality of low overlap eigenmodes and of the topological density in the quenched su3 vacuum we discuss the correlations between the topological structure revealed by overlap fermions without filtering and the confining monopole and pvortex structure obtained in the indirect maximal center gauge | [['we', 'present', 'selected', 'recent', 'results', 'of', 'the', 'qcdsf', 'collaboration', 'on', 'the', 'localization', 'and', 'dimensionality', 'of', 'low', 'overlap', 'eigenmodes', 'and', 'of', 'the', 'topological', 'density', 'in', 'the', 'quenched', 'su3', 'vacuum', 'we', 'discuss', 'the', 'correlations', 'between', 'the', 'topological', 'structure', 'revealed', 'by', 'overlap', 'fermions', 'without', 'filtering', 'and', 'the', 'confining', 'monopole', 'and', 'pvortex', 'structure', 'obtained', 'in', 'the', 'indirect', 'maximal', 'center', 'gauge']] | [-0.16785457070052093, 0.2089227056879151, -0.06372093568955149, 0.08870427420229784, -0.01491034691571258, -0.034528470964037945, 0.08594828655727074, 0.39332206354343463, -0.17721429541208117, -0.3016143323454474, 0.04687291423241342, -0.2846685172491042, -0.13641004152928612, 0.046345373981499245, 0.05746999672347946, 0.0773875491826662, 0.02154733649721103, 0.02378231830828424, -0.13739907999323414, -0.19843398084049113, 0.35625774823295486, 0.03453153060815696, 0.3379332216489794, 0.10890815240730133, 0.03164493673414524, 0.0708845819878791, -0.0873549936555459, 0.020790554366872778, -0.12698127502309425, 0.14401971279377385, 0.1615724693235409, 0.013140815850679896, 0.15739787776588596, -0.40247607354207765, -0.20101482503897777, 0.042373958409630826, 0.13503241351073875, 0.12350345998337227, -0.11170153977790116, -0.4106246383328523, 0.0694643858753677, -0.1683097355832745, -0.1452451067930919, -0.07933297192877424, -0.03187929090511586, -0.0352781789842993, -0.2087713087780035, 0.10973994247615337, -0.007370780937240592, 0.08602375161301877, -0.06519869389012456, -0.13797089687016392, -0.10272030238827158, 0.1330045573413372, 0.05793957301440449, 0.01573716512939427, 0.10605751422034311, -0.2210489238703823, -0.15371206119639932, 0.3380461012212826, -0.07472053968480655, -0.14842237186219012, 0.20776891892663635, -0.19142808474966191, -0.13502875362922037, 0.08945258687682715, 0.11618569302040019, 0.04406129990820773, -0.06329758894571569, 0.14539390600371657, -0.02041249810593269, 0.1553345987506743, 0.06446509257823761, 0.0773442247633024, 0.2152715308059539, 0.12103618802835367, 0.07364908955891483, 0.14767650842882826, -0.09904943961633503, -0.08594650720832371, -0.2964316997677088, -0.10085104570524502, -0.22645903473520385, 0.04281218519567379, -0.09274040826026717, -0.13243569521832146, 0.4165859603256519, 0.12089338260037559, 0.22380272724798747, -0.04069400597862633, 0.2221318798505568, 0.07819140903718237, 0.09770809692729797, 0.040795559458534365, 0.29054009035462514, 0.16081792919430882, 0.07316430080598886, -0.3303096856522773, -0.09075678774180622, 0.11065604115719907] |
710.2608 | On the conditional logistic estimator for repeated binary outcomes in
two-arm experimental studies with non-compliance | The behavior of the conditional logistic estimator is analyzed under a causal
model for two-arm experimental studies with possible non-compliance in which
the effect of the treatment is measured by a binary response variable. We show
that, when non-compliance may only be observed in the treatment arm, the effect
(measured on the logit scale) of the treatment on compliers and that of the
control on non-compliers can be identified and consistently estimated under
mild conditions. The same does not happen for the effect of the control on
compliers. A simple correction of the conditional logistic estimator is then
proposed which allows us to considerably reduce its bias in estimating this
quantity and the causal effect of the treatment over control on compliers. A
two-step estimator results whose asymptotic properties are studied by
exploiting the general theory on maximum likelihood estimation of misspecified
models. Finite-sample properties of the estimator are studied by simulation and
the extension to the case of missing responses is outlined. The approach is
illustrated by an application to a dataset deriving from a study on the
efficacy of a training course on the practise of breast self examination.
| math.ST stat.TH | the behavior of the conditional logistic estimator is analyzed under a causal model for twoarm experimental studies with possible noncompliance in which the effect of the treatment is measured by a binary response variable we show that when noncompliance may only be observed in the treatment arm the effect measured on the logit scale of the treatment on compliers and that of the control on noncompliers can be identified and consistently estimated under mild conditions the same does not happen for the effect of the control on compliers a simple correction of the conditional logistic estimator is then proposed which allows us to considerably reduce its bias in estimating this quantity and the causal effect of the treatment over control on compliers a twostep estimator results whose asymptotic properties are studied by exploiting the general theory on maximum likelihood estimation of misspecified models finitesample properties of the estimator are studied by simulation and the extension to the case of missing responses is outlined the approach is illustrated by an application to a dataset deriving from a study on the efficacy of a training course on the practise of breast self examination | [['the', 'behavior', 'of', 'the', 'conditional', 'logistic', 'estimator', 'is', 'analyzed', 'under', 'a', 'causal', 'model', 'for', 'twoarm', 'experimental', 'studies', 'with', 'possible', 'noncompliance', 'in', 'which', 'the', 'effect', 'of', 'the', 'treatment', 'is', 'measured', 'by', 'a', 'binary', 'response', 'variable', 'we', 'show', 'that', 'when', 'noncompliance', 'may', 'only', 'be', 'observed', 'in', 'the', 'treatment', 'arm', 'the', 'effect', 'measured', 'on', 'the', 'logit', 'scale', 'of', 'the', 'treatment', 'on', 'compliers', 'and', 'that', 'of', 'the', 'control', 'on', 'noncompliers', 'can', 'be', 'identified', 'and', 'consistently', 'estimated', 'under', 'mild', 'conditions', 'the', 'same', 'does', 'not', 'happen', 'for', 'the', 'effect', 'of', 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'examination']] | [-0.059765367986830444, 0.04084099394485269, -0.119288084317783, 0.08847779304120003, -0.07260131598572786, -0.12481056719062555, 0.07786489880251649, 0.3619516164750645, -0.21885219783963342, -0.2968402098472181, 0.13916003841992566, -0.23940493004575777, -0.1734544393851569, 0.23168847240924248, -0.10169414558791016, 0.04879145798193732, 0.05276706622129208, 0.05285054815344905, -0.04594282908640851, -0.28643737169668865, 0.2933869824132049, 0.08802606016397477, 0.3143971487597905, 0.008104048680979758, 0.11896504285059085, 0.04941244413340955, -0.0409973432432468, 0.07160926614642928, -0.12218323475474455, 0.0828264799348912, 0.20154260278912645, 0.12841896210110892, 0.3299413747889431, -0.36595789867110157, -0.23415108857382286, 0.09588322241447474, 0.08279183836543541, 0.09134685406828985, -0.02267522946686337, -0.2905050344195364, 0.08036465655129992, -0.1493108198291769, -0.08121204966875284, -0.05445250021783929, -0.050989558172755335, -0.005563109576408016, 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710.2609 | Bijective 1-cocycles and classification of 3-dimensional Left-symmetric
Algebras | Left-symmetric algebras have close relations with many important fields in
mathematics and mathematical physics. Their classification is very complicated
due to the nonassociativity. In this paper, we re-study the correspondence
between left-symmetric algebras and the bijective 1-cocycles. Then a procedure
is provided to classify left-symmetric algebras in terms of classification of
equivalent classes of bijective 1-cocycles. As an example, the 3-dimensional
complex left-symmetric algebras are classified.
| math.QA math.RA | leftsymmetric algebras have close relations with many important fields in mathematics and mathematical physics their classification is very complicated due to the nonassociativity in this paper we restudy the correspondence between leftsymmetric algebras and the bijective 1cocycles then a procedure is provided to classify leftsymmetric algebras in terms of classification of equivalent classes of bijective 1cocycles as an example the 3dimensional complex leftsymmetric algebras are classified | [['leftsymmetric', 'algebras', 'have', 'close', 'relations', 'with', 'many', 'important', 'fields', 'in', 'mathematics', 'and', 'mathematical', 'physics', 'their', 'classification', 'is', 'very', 'complicated', 'due', 'to', 'the', 'nonassociativity', 'in', 'this', 'paper', 'we', 'restudy', 'the', 'correspondence', 'between', 'leftsymmetric', 'algebras', 'and', 'the', 'bijective', '1cocycles', 'then', 'a', 'procedure', 'is', 'provided', 'to', 'classify', 'leftsymmetric', 'algebras', 'in', 'terms', 'of', 'classification', 'of', 'equivalent', 'classes', 'of', 'bijective', '1cocycles', 'as', 'an', 'example', 'the', '3dimensional', 'complex', 'leftsymmetric', 'algebras', 'are', 'classified']] | [-0.14404247931176514, 0.023089793181112105, -0.05339836800527392, 0.17858900355041082, -0.15994688397216977, -0.15800403125555904, -0.06552548072773567, 0.40694285185556067, -0.3828561469968973, -0.25729847046772414, 0.10872238599448324, -0.202671101083979, -0.25371658706078026, 0.20089337335560808, -0.21588125767073396, -0.056617824508893216, 0.06604086933657527, 0.10674859052806189, -0.15483703674522764, -0.27802789162590424, 0.40534106745370524, -0.004952663217078556, 0.24220512367107652, 0.006359863370148973, 0.09929868370068795, -0.039835024907281906, -0.060819424632372276, -0.00876501192000102, -0.16139522671106865, 0.12427089932007772, 0.40917621761786216, 0.0855026229454035, 0.17799942484689932, -0.3359744901006872, -0.03789694773767031, 0.18915794722058557, 0.16513633512835385, 0.05011201723281181, -0.03429972744462165, -0.29900999690377805, 0.03423805588461233, -0.20157827309925447, -0.0746489976052985, -0.10916848760627379, 0.10863699104326467, -0.03546709196190491, -0.18484579380883864, 0.06325689838691191, 0.126585055264348, 0.17585450440475886, -0.0931215955607706, -0.0452326381169824, -0.07284712922321915, 0.1387299038152295, -0.051008735254237596, 0.020904078444635325, 0.059956285733002886, -0.12295363905881955, -0.2182758706269052, 0.3987407867768497, 0.08539225529371337, -0.23136429187390162, 0.22048994001339783, -0.13826378493456903, -0.21958668851011404, 0.06510607745837081, 0.07626081890229022, 0.10095781751795474, -0.12440495867507928, 0.167141343648616, -0.1384396655202815, 0.0006807942409068346, 0.10072762624247733, 0.02388007037172263, 0.2022623450382415, 0.1109390307330724, -0.03473964798930948, 0.144600226339235, 0.09863839744745444, -0.02594897939795346, -0.34473219158297236, -0.17347369669005275, -0.050527796586693235, 0.08317579714242708, -0.08893245999713668, -0.18413711826768564, 0.3977187558105498, 0.1174503997335154, 0.19102795987926197, 0.09315373670930664, 0.1777112459143003, 0.06730073820764312, 0.12031404354087444, 0.0076286822458672705, 0.1708207219719153, 0.3480142735396371, 0.033602767694515714, -0.06933805321794793, -0.07603790506607655, 0.20254727922887963] |
710.261 | Solar System motions and the cosmological constant: a new approach | We use the corrections to the Newton-Einstein secular precessions of the
longitudes of perihelia of some planets (Mercury, Earth, Mars, Jupiter, Saturn)
of the Solar System, phenomenologically estimated as solve-for parameters by
the Russian astronomer E.V. Pitjeva in a global fit of almost one century of
data with the EPM2004 ephemerides, in order to put on the test the expression
for the perihelion precession induced by an uniform cosmological constant
Lambda in the framework of the Schwarzschild-de Sitter (or Kottler) space-time.
We compare such an extra-rate to the estimated corrections to the planetary
perihelion precessions by taking their ratio for different pairs of planets
instead of using one perihelion at a time for each planet separately, as done
so far in literature. The answer is neatly negative, even by further re-scaling
by a factor 10 (and even 100 for Saturn) the errors in the estimated
extra-precessions of the perihelia released by Pitjeva. Our conclusions hold
also for any other metric perturbation having the same dependence on the
spatial coordinates, as those induced by other general relativistic
cosmological scenarios and by many modified models of gravity. Currently
ongoing and planned interplanetary spacecraft-based missions should improve our
knowledge of the planets' orbits allowing for more stringent constraints.
| gr-qc astro-ph hep-ph physics.space-ph | we use the corrections to the newtoneinstein secular precessions of the longitudes of perihelia of some planets mercury earth mars jupiter saturn of the solar system phenomenologically estimated as solvefor parameters by the russian astronomer ev pitjeva in a global fit of almost one century of data with the epm2004 ephemerides in order to put on the test the expression for the perihelion precession induced by an uniform cosmological constant lambda in the framework of the schwarzschildde sitter or kottler spacetime we compare such an extrarate to the estimated corrections to the planetary perihelion precessions by taking their ratio for different pairs of planets instead of using one perihelion at a time for each planet separately as done so far in literature the answer is neatly negative even by further rescaling by a factor 10 and even 100 for saturn the errors in the estimated extraprecessions of the perihelia released by pitjeva our conclusions hold also for any other metric perturbation having the same dependence on the spatial coordinates as those induced by other general relativistic cosmological scenarios and by many modified models of gravity currently ongoing and planned interplanetary spacecraftbased missions should improve our knowledge of the planets orbits allowing for more stringent constraints | [['we', 'use', 'the', 'corrections', 'to', 'the', 'newtoneinstein', 'secular', 'precessions', 'of', 'the', 'longitudes', 'of', 'perihelia', 'of', 'some', 'planets', 'mercury', 'earth', 'mars', 'jupiter', 'saturn', 'of', 'the', 'solar', 'system', 'phenomenologically', 'estimated', 'as', 'solvefor', 'parameters', 'by', 'the', 'russian', 'astronomer', 'ev', 'pitjeva', 'in', 'a', 'global', 'fit', 'of', 'almost', 'one', 'century', 'of', 'data', 'with', 'the', 'epm2004', 'ephemerides', 'in', 'order', 'to', 'put', 'on', 'the', 'test', 'the', 'expression', 'for', 'the', 'perihelion', 'precession', 'induced', 'by', 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710.2611 | Geometric Analogue of Holographic Reduced Representation | Holographic reduced representations (HRR) are based on superpositions of
convolution-bound $n$-tuples, but the $n$-tuples cannot be regarded as vectors
since the formalism is basis dependent. This is why HRR cannot be associated
with geometric structures. Replacing convolutions by geometric products one
arrives at reduced representations analogous to HRR but interpretable in terms
of geometry. Variable bindings occurring in both HRR and its geometric analogue
mathematically correspond to two different representations of
$Z_2\times...\times Z_2$ (the additive group of binary $n$-tuples with addition
modulo 2). As opposed to standard HRR, variable binding performed by means of
geometric product allows for computing exact inverses of all nonzero vectors, a
procedure even simpler than approximate inverses employed in HRR. The formal
structure of the new reduced representation is analogous to cartoon
computation, a geometric analogue of quantum computation.
| cs.AI quant-ph | holographic reduced representations hrr are based on superpositions of convolutionbound ntuples but the ntuples cannot be regarded as vectors since the formalism is basis dependent this is why hrr cannot be associated with geometric structures replacing convolutions by geometric products one arrives at reduced representations analogous to hrr but interpretable in terms of geometry variable bindings occurring in both hrr and its geometric analogue mathematically correspond to two different representations of z_2timestimes z_2 the additive group of binary ntuples with addition modulo 2 as opposed to standard hrr variable binding performed by means of geometric product allows for computing exact inverses of all nonzero vectors a procedure even simpler than approximate inverses employed in hrr the formal structure of the new reduced representation is analogous to cartoon computation a geometric analogue of quantum computation | [['holographic', 'reduced', 'representations', 'hrr', 'are', 'based', 'on', 'superpositions', 'of', 'convolutionbound', 'ntuples', 'but', 'the', 'ntuples', 'can', 'not', 'be', 'regarded', 'as', 'vectors', 'since', 'the', 'formalism', 'is', 'basis', 'dependent', 'this', 'is', 'why', 'hrr', 'can', 'not', 'be', 'associated', 'with', 'geometric', 'structures', 'replacing', 'convolutions', 'by', 'geometric', 'products', 'one', 'arrives', 'at', 'reduced', 'representations', 'analogous', 'to', 'hrr', 'but', 'interpretable', 'in', 'terms', 'of', 'geometry', 'variable', 'bindings', 'occurring', 'in', 'both', 'hrr', 'and', 'its', 'geometric', 'analogue', 'mathematically', 'correspond', 'to', 'two', 'different', 'representations', 'of', 'z_2timestimes', 'z_2', 'the', 'additive', 'group', 'of', 'binary', 'ntuples', 'with', 'addition', 'modulo', '2', 'as', 'opposed', 'to', 'standard', 'hrr', 'variable', 'binding', 'performed', 'by', 'means', 'of', 'geometric', 'product', 'allows', 'for', 'computing', 'exact', 'inverses', 'of', 'all', 'nonzero', 'vectors', 'a', 'procedure', 'even', 'simpler', 'than', 'approximate', 'inverses', 'employed', 'in', 'hrr', 'the', 'formal', 'structure', 'of', 'the', 'new', 'reduced', 'representation', 'is', 'analogous', 'to', 'cartoon', 'computation', 'a', 'geometric', 'analogue', 'of', 'quantum', 'computation']] | [-0.10221205126609716, 0.1250980555691492, -0.1121261275074542, 0.10690907764755912, -0.11355626839039319, -0.1533389429834588, 0.0032400842356398256, 0.3454309992714604, -0.3188924149874209, -0.2680832823988662, 0.11624771779239762, -0.20775198708681492, -0.16081530026962926, 0.19425387921701395, -0.11252459051711276, 0.04797242446272606, 0.0352880912798165, 0.08186804924208893, -0.1628430392124009, -0.2244094144257564, 0.30775089610416667, 0.024183350742912727, 0.24820510282202055, -0.048988967184359626, 0.10772657757555482, 0.04640197997857163, -0.0635469254182735, 0.01368839130389379, -0.03669847401359411, 0.1805636558930195, 0.3042346817795743, 0.09778343574769462, 0.18422448306705858, -0.43071339435444506, -0.1565093958625264, 0.1302217248420634, 0.16837194493499152, 0.07476501395481068, 0.029785075731429536, -0.25309215925387174, 0.10164288468589422, -0.19393770360568566, -0.10790217900648713, -0.15448030345697902, 0.011786262761912684, -0.01009253165754142, -0.24668683746435208, 0.05665319270675938, 0.0779648306849065, 0.07363502197871123, -0.050004671992814, -0.14025840371388443, -1.4531159419010379e-05, 0.09937974284776598, -0.0226770122587653, 0.01744278055813803, 0.10865918634487177, -0.08112016123365055, -0.1364668293633679, 0.40240285319359553, -0.03138003222274667, -0.28593458574432046, 0.16818968690549538, -0.08642226109392386, -0.13492943871933133, 0.14334131559746258, 0.1028214282453505, 0.11042003505758997, -0.09892154297723657, 0.11334090570722874, -0.05144344099602704, 0.12473492949954304, 0.13179720896852218, 0.0745430545974349, 0.17654683387407394, 0.0720088778753459, 0.04658576038860674, 0.14416771240483747, 0.03240052083595795, -0.10513645363797837, -0.31126668346600966, -0.18643056228651023, -0.19708839795854527, 0.07514264179787203, -0.11279637991950704, -0.1866457708763765, 0.36756814418555195, 0.08940521674925711, 0.2012661572279923, 0.07003059821835816, 0.2595113517104912, 0.1388102277901385, 0.10389758901733126, 0.0429381547259417, 0.10837089931314338, 0.18877083956569768, 0.006730412456220878, -0.13016873831537537, 0.07151652944322898, 0.16010521606319764] |
710.2612 | Involutions on tori with codimension one fixed point set | The standard P. A. Smith theory of p-group actions on spheres, disks, and
euclidean spaces is extended to the case of p-group actions on tori (i.e.,
products of circles) and coupled with topological surgery theory to give a
complete topological classification, valid in all dimensions, of the locally
linear, orientation reversing, involutions on tori with fixed point set of
codimension one.
| math.GT | the standard p a smith theory of pgroup actions on spheres disks and euclidean spaces is extended to the case of pgroup actions on tori ie products of circles and coupled with topological surgery theory to give a complete topological classification valid in all dimensions of the locally linear orientation reversing involutions on tori with fixed point set of codimension one | [['the', 'standard', 'p', 'a', 'smith', 'theory', 'of', 'pgroup', 'actions', 'on', 'spheres', 'disks', 'and', 'euclidean', 'spaces', 'is', 'extended', 'to', 'the', 'case', 'of', 'pgroup', 'actions', 'on', 'tori', 'ie', 'products', 'of', 'circles', 'and', 'coupled', 'with', 'topological', 'surgery', 'theory', 'to', 'give', 'a', 'complete', 'topological', 'classification', 'valid', 'in', 'all', 'dimensions', 'of', 'the', 'locally', 'linear', 'orientation', 'reversing', 'involutions', 'on', 'tori', 'with', 'fixed', 'point', 'set', 'of', 'codimension', 'one']] | [-0.19165896209048444, 0.12419876150909018, -0.07171460289935597, 0.03750481113951775, -0.06296360962566172, -0.16222895194058778, 0.020633023701699785, 0.3443401505498857, -0.2333085020454448, -0.19615901395922802, 0.10786566364800283, -0.2900755415807982, -0.10769444525425063, 0.19395447989589856, -0.15243868758619503, 0.015973243938728433, 0.009021904594341263, 0.09954916733149134, -0.0843336150721937, -0.3766139023860947, 0.4294398942137839, -0.06824141575909051, 0.20975731752935003, 0.0009215738257912339, 0.06826249714253745, 0.070082465484433, -0.01768915135352338, 0.056495763330918845, -0.1603904375653775, 0.12072304366003783, 0.27291441598876576, 0.002431404647096747, 0.15064146691841668, -0.386266240850091, -0.20506761523085784, 0.16134452731272236, 0.07911737688404859, -0.002256640599521457, -0.00504299579760762, -0.29313616377881685, 0.10522457575578181, -0.14030194357342896, -0.16332967725170197, -0.10438263822407996, 0.08591944454085143, -0.032768065472454075, -0.21636765001372235, -0.028799196697588337, 0.13513118468347143, 0.16558143407961384, -0.07852526770553506, -0.03991129631023915, -0.08418922629741737, 0.13159814307496684, -0.0005256325945441351, 0.04934218645737064, 0.14016624131682712, -0.07491609430490215, -0.216729413321028, 0.40461347946423853, -0.026497312806180267, -0.2572236503856104, 0.20987405237115797, -0.1758794464232003, -0.13277676058398774, 0.14542209934137884, 0.13060550059604106, 0.19449252542108297, 0.0020040381150167497, 0.17429885141299578, -0.09802795844305245, 0.12073347768145155, 0.09631880241461464, -0.04837513378378554, 0.1976709684937215, 0.10000181335528366, 0.14571881011227664, 0.11899451853432616, 0.03728714734544886, -0.06037275361366662, -0.34824966101861393, -0.1645189252983565, -0.11642088018716543, 0.15109565519712498, -0.14194770403097567, -0.22543573187145052, 0.3805917244343484, 0.0014326625244050729, 0.15920156677116137, 0.10503761803151154, 0.24105769127882162, 0.006806203818996437, 0.04862389377638942, 0.08668107570713905, 0.13005189309049336, 0.20018636758943073, -0.08656171813118653, -0.11352368614437883, -0.09601128247154296, 0.26424064145988374] |
710.2613 | High quality factor gigahertz frequencies in nanomechanical diamond
resonators | We report actuation and detection of gigahertz-range resonance frequencies in
nano-crystalline diamond mechanical resonators. High order transverse vibration
modes are measured in coupled-beam resonators exhibiting frequencies up to
1.441 GHz. The cantilever-array design of the resonators translates the
gigahertz-range resonant motion of micron-long cantilever elements to the
displacement of the central supporting structure. Use of nano-crystalline
diamond further increases the frequency compared to single crystal silicon by a
factor of three. High clamping losses usually associated with micron-sized
straight beams are suppressed in the periodic geometry of our resonators,
allowing for high quality factors exceeding 20,000 above 500 MHz.
| cond-mat.mes-hall cond-mat.mtrl-sci | we report actuation and detection of gigahertzrange resonance frequencies in nanocrystalline diamond mechanical resonators high order transverse vibration modes are measured in coupledbeam resonators exhibiting frequencies up to 1441 ghz the cantileverarray design of the resonators translates the gigahertzrange resonant motion of micronlong cantilever elements to the displacement of the central supporting structure use of nanocrystalline diamond further increases the frequency compared to single crystal silicon by a factor of three high clamping losses usually associated with micronsized straight beams are suppressed in the periodic geometry of our resonators allowing for high quality factors exceeding 20000 above 500 mhz | [['we', 'report', 'actuation', 'and', 'detection', 'of', 'gigahertzrange', 'resonance', 'frequencies', 'in', 'nanocrystalline', 'diamond', 'mechanical', 'resonators', 'high', 'order', 'transverse', 'vibration', 'modes', 'are', 'measured', 'in', 'coupledbeam', 'resonators', 'exhibiting', 'frequencies', 'up', 'to', '1441', 'ghz', 'the', 'cantileverarray', 'design', 'of', 'the', 'resonators', 'translates', 'the', 'gigahertzrange', 'resonant', 'motion', 'of', 'micronlong', 'cantilever', 'elements', 'to', 'the', 'displacement', 'of', 'the', 'central', 'supporting', 'structure', 'use', 'of', 'nanocrystalline', 'diamond', 'further', 'increases', 'the', 'frequency', 'compared', 'to', 'single', 'crystal', 'silicon', 'by', 'a', 'factor', 'of', 'three', 'high', 'clamping', 'losses', 'usually', 'associated', 'with', 'micronsized', 'straight', 'beams', 'are', 'suppressed', 'in', 'the', 'periodic', 'geometry', 'of', 'our', 'resonators', 'allowing', 'for', 'high', 'quality', 'factors', 'exceeding', '20000', 'above', '500', 'mhz']] | [-0.16703458888652292, 0.22073998092061006, 0.0611956387856289, -0.12202584120003801, -0.04086153662616485, -0.13505676380897824, 0.05038157674287887, 0.47262501924445754, -0.21592331660029135, -0.3106199562843693, 0.04435380791975675, -0.307731389215118, -0.027032417519704293, 0.22844135763221665, -0.022611236704611466, 0.088796614059002, 0.04509681302098263, -0.047490319429504636, -0.019994600229945623, -0.116810816769047, 0.20986507176176497, 0.09966226147585794, 0.38270376022709046, 0.021248824149370193, 0.11697326899064998, -0.07339238260235441, 0.07583604698118411, -0.03001069958615852, -0.12281433543876598, 0.14199093946954236, 0.2563016786877262, -0.07102732229977846, 0.23771083180694597, -0.43578154057460394, -0.1606525191547055, -0.0021011784868805033, 0.13299384143105464, 0.11183250349897303, 0.0006319341200746988, -0.232302086878764, 0.09505561052233373, -0.12127593421426258, -0.15727110312467343, -0.046023053023964165, -0.02776451075853976, 0.022415033181344992, -0.20952752363365634, 0.09172181078036756, 0.05163382043767917, 0.09953881454114852, -0.07599649713497217, -0.10331305692609595, 0.019459992821181292, 0.05106884219046486, -0.044744772738532015, -0.03417627320036684, 0.27375688571973067, -0.10153375324842177, -0.13466040028357193, 0.3815872328956366, -0.03854507106037713, -0.10024849148957353, 0.1835403826283781, -0.22897882889833693, -0.00705210492168063, 0.2412266687735131, 0.19833265335090752, 0.041151707158669046, -0.10788783678527628, -0.02256871935433561, 0.09416823742519084, 0.23874100301610796, 0.24366431589924584, 0.09136163734058898, 0.19935135982538524, 0.20995438367397964, 0.007835124626657681, 0.20090813214743608, -0.12564578788220196, 0.04878209583510302, -0.24241408780217172, -0.10430164603075306, -0.16046984593236918, 0.06563472551244655, -0.14647264557532158, -0.17346320707154902, 0.3953503024813376, 0.0663138567715099, 0.19446889664242534, -0.047617760212405734, 0.2917220039146119, 0.09696845128078406, 0.15026632227787845, -0.009536026839755083, 0.3450191148826362, 0.21420674797784733, 0.08059310367036807, -0.2703969608992338, -0.06149656286365107, -0.09316140673319367] |
710.2614 | Multivariate integration of functions depending explicitly on the
minimum and the maximum of the variables | By using some basic calculus of multiple integration, we provide an
alternative expression of the integral $$ \int_{]a,b[^n} f(\mathbf{x},\min
x_i,\max x_i) d\mathbf{x}, $$ in which the minimum and the maximum are replaced
with two single variables. We demonstrate the usefulness of that expression in
the computation of orness and andness average values of certain aggregation
functions. By generalizing our result to Riemann-Stieltjes integrals, we also
provide a method for the calculation of certain expected values and
distribution functions.
| math.FA math.PR | by using some basic calculus of multiple integration we provide an alternative expression of the integral int_abn fmathbfxmin x_imax x_i dmathbfx in which the minimum and the maximum are replaced with two single variables we demonstrate the usefulness of that expression in the computation of orness and andness average values of certain aggregation functions by generalizing our result to riemannstieltjes integrals we also provide a method for the calculation of certain expected values and distribution functions | [['by', 'using', 'some', 'basic', 'calculus', 'of', 'multiple', 'integration', 'we', 'provide', 'an', 'alternative', 'expression', 'of', 'the', 'integral', 'int_abn', 'fmathbfxmin', 'x_imax', 'x_i', 'dmathbfx', 'in', 'which', 'the', 'minimum', 'and', 'the', 'maximum', 'are', 'replaced', 'with', 'two', 'single', 'variables', 'we', 'demonstrate', 'the', 'usefulness', 'of', 'that', 'expression', 'in', 'the', 'computation', 'of', 'orness', 'and', 'andness', 'average', 'values', 'of', 'certain', 'aggregation', 'functions', 'by', 'generalizing', 'our', 'result', 'to', 'riemannstieltjes', 'integrals', 'we', 'also', 'provide', 'a', 'method', 'for', 'the', 'calculation', 'of', 'certain', 'expected', 'values', 'and', 'distribution', 'functions']] | [-0.12680528189853899, 0.052584001975940604, -0.10159464956128171, 0.04620472754218748, -0.03583235164572086, -0.06942641250123935, 0.07511606165540538, 0.3445441643142008, -0.2525856232802783, -0.3035623444643404, 0.11318291653546371, -0.24113395256655556, -0.18900934050325305, 0.2345795855990478, -0.04124137183742797, 0.06267335044727328, 0.039729026039796216, 0.04912755086968121, -0.09004031172620931, -0.25280038200850996, 0.330189306385416, 0.015789891127496958, 0.22723482863179276, 0.05484857838600874, 0.1291566542682371, 0.07337862925071802, -0.05002962284322296, 0.00762627933706556, -0.142619036348125, 0.20145801821989673, 0.1943865622094433, 0.16551682875890816, 0.29100476215992654, -0.41135400485779555, -0.15899751717224717, 0.09658984231230404, 0.13524706370163975, 0.05709044061160447, -0.02651359744902168, -0.23578471687755415, 0.08718700309150985, -0.1855574267251151, -0.12228229153635246, -0.11519282003864646, 0.008388170679765088, 0.10976633420214058, -0.30946494628276144, 0.06569020683236886, 0.0341052198449948, 0.05972405968766127, -0.1105519342568836, -0.16968596847062664, 0.030184117508386926, 0.1195368184342182, 0.03649440532816308, 0.002988164758841906, 0.0688463562301227, -0.12143791689138328, -0.12729030765060867, 0.31541213635355236, -0.07938721635811297, -0.27535421450489334, 0.09672135433980397, -0.16404500708117017, -0.12737290583151792, 0.10832458323399935, 0.08667012045625597, 0.16719657017716338, -0.15676753030025534, 0.037170468983406736, -0.02454278941399285, 0.080831196850964, 0.07653668061830103, 0.05622867725240732, 0.14027839730094585, 0.08640692671760916, 0.05573125409760645, 0.18386995850929191, -0.07655160582092191, -0.12987418843300214, -0.37981529666327074, -0.19843136273474166, -0.177721885299044, 0.04074702532961964, -0.16342228533903835, -0.17300759415541375, 0.37323817682585547, 0.16725918191618153, 0.2456589248097901, 0.12457150103956727, 0.2695000308964934, 0.2166432544273058, 0.05868030173171844, 0.044542858470231296, 0.142606324395248, 0.12702972847037017, 0.028145669986094746, -0.17431068662554025, 0.078614433059868, 0.09963749494137508] |
710.2615 | Fundamental groups of topological stacks with slice property | The main result of the paper is a formula for the fundamental group of the
coarse moduli space of a topological stack. As an application, we find simple
general formulas for the fundamental group of the coarse quotient of a group
action on a topological space in terms of the fixed point data. The formulas
seem, surprisingly, to be new. In particular, we recover, and vastly
generalize, results of Armstrong, Bass, Higgins, Rhodes.
| math.AT | the main result of the paper is a formula for the fundamental group of the coarse moduli space of a topological stack as an application we find simple general formulas for the fundamental group of the coarse quotient of a group action on a topological space in terms of the fixed point data the formulas seem surprisingly to be new in particular we recover and vastly generalize results of armstrong bass higgins rhodes | [['the', 'main', 'result', 'of', 'the', 'paper', 'is', 'a', 'formula', 'for', 'the', 'fundamental', 'group', 'of', 'the', 'coarse', 'moduli', 'space', 'of', 'a', 'topological', 'stack', 'as', 'an', 'application', 'we', 'find', 'simple', 'general', 'formulas', 'for', 'the', 'fundamental', 'group', 'of', 'the', 'coarse', 'quotient', 'of', 'a', 'group', 'action', 'on', 'a', 'topological', 'space', 'in', 'terms', 'of', 'the', 'fixed', 'point', 'data', 'the', 'formulas', 'seem', 'surprisingly', 'to', 'be', 'new', 'in', 'particular', 'we', 'recover', 'and', 'vastly', 'generalize', 'results', 'of', 'armstrong', 'bass', 'higgins', 'rhodes']] | [-0.1261387793219661, 0.0844411157752939, -0.1328752426915381, 0.07059570315950997, -0.09928352929562433, -0.05666859815381978, 0.06916071881686835, 0.30467197896070675, -0.29813494125049406, -0.24708454226692245, 0.12434037633508138, -0.19777374490074914, -0.19275299690612782, 0.24736787900583793, -0.163862417360739, -0.030170640359594398, 0.006872203899547458, 0.05416330549074975, -0.0949867116670086, -0.2665701627425135, 0.40494643615507714, 0.0009839891022300883, 0.26022300898569495, 0.05014916789743488, 0.10417262736663273, 0.019375866314090075, -0.0530710326227015, 0.0213897303887005, -0.1578509215463259, 0.16344573676637184, 0.2514930094834672, 0.06159010206106795, 0.20590613436030403, -0.3646247111107797, -0.1742378499563018, 0.1096021333798664, 0.11960175587821191, 0.10682249638213687, -0.0208720560329137, -0.26258121716649563, 0.13049464445076372, -0.17833588773716394, -0.15607494390760995, -0.09780524311306542, 0.04573961104942511, 0.01353556125692717, -0.20744735597033206, -0.0201372905277124, 0.08415893034065423, 0.09253076119475985, -0.09197666380579954, -0.08466317076459272, -0.014477568461674533, 0.17270115355973784, 0.010502837244293664, 0.04376576168539181, 0.05072360624852654, -0.12552257995950442, -0.11765336120271519, 0.424954129051264, -0.07806570313819876, -0.18245480690559704, 0.15812006643781923, -0.13350512877055634, -0.19128023839415345, 0.08529567157160746, 0.11640027673812965, 0.16020303192765337, -0.05774097653641684, 0.15239310731444738, -0.15774475512643382, 0.0906137018548229, 0.04734480918117174, 0.02620991710844539, 0.11578044919488467, 0.1411762020888751, 0.09950833141242396, 0.14324397456111412, -0.01298632177728394, -0.03925119083349223, -0.3503117425596877, -0.24872620931941353, -0.17716074043451108, 0.0704115828090947, -0.1459736581698414, -0.175742930196838, 0.41408080598722175, 0.10957055490412941, 0.21666744084110204, 0.11523407654300945, 0.23299917433257789, 0.10997923085791353, 0.04528539232297303, 0.016353166483546774, 0.14478520784935314, 0.1715188472187274, 0.020493081962204958, -0.15056412954087536, -0.006245229610127129, 0.1810954109867652] |
710.2616 | Classification of complete Finsler manifolds through a second order
differential equation | By using a certain second order differential equation, the notion of adapted
coordinates on Finsler manifolds is defined and some classifications of
complete Finsler manifolds are found. Some examples of Finsler metrics, with
positive constant sectional curvature, not necessarily of Randers type nor
projectively flat, are found. This work generalizes some results in Riemannian
geometry and open up, a vast area of research on Finsler geometry.
| math.DG math.CT | by using a certain second order differential equation the notion of adapted coordinates on finsler manifolds is defined and some classifications of complete finsler manifolds are found some examples of finsler metrics with positive constant sectional curvature not necessarily of randers type nor projectively flat are found this work generalizes some results in riemannian geometry and open up a vast area of research on finsler geometry | [['by', 'using', 'a', 'certain', 'second', 'order', 'differential', 'equation', 'the', 'notion', 'of', 'adapted', 'coordinates', 'on', 'finsler', 'manifolds', 'is', 'defined', 'and', 'some', 'classifications', 'of', 'complete', 'finsler', 'manifolds', 'are', 'found', 'some', 'examples', 'of', 'finsler', 'metrics', 'with', 'positive', 'constant', 'sectional', 'curvature', 'not', 'necessarily', 'of', 'randers', 'type', 'nor', 'projectively', 'flat', 'are', 'found', 'this', 'work', 'generalizes', 'some', 'results', 'in', 'riemannian', 'geometry', 'and', 'open', 'up', 'a', 'vast', 'area', 'of', 'research', 'on', 'finsler', 'geometry']] | [-0.1939517924787872, 0.03297230417868405, -0.017299908340315927, 0.10182573719683921, -0.21194582525640726, -0.2202692962477379, -0.10539548020019676, 0.38907727314808377, -0.22317904443568268, -0.26269195412786567, 0.12973605188590503, -0.2891076709510702, -0.21102742956612597, 0.22457645007296267, -0.20946320789781483, 0.02158962128063043, 0.04547611402813345, 0.10317125761613363, -0.16062331481159411, -0.3110859321825432, 0.5176151094986408, 0.012193495040815888, 0.23247187979745143, 0.09788834099714278, 0.13874077725675749, -0.12452750713000017, -0.07380342128365583, 0.13866209595069062, -0.24157418016428975, 0.12076886730960035, 0.25215132898919174, 0.08635673583061858, 0.21786448009890702, -0.3281009935802131, -0.23306850273387902, 0.1336830214766616, 0.07973758603982402, -0.0012177915848565824, -0.04734426961372127, -0.34810912648611, 0.03261053076747692, -0.028716389343819836, -0.1731270874892785, -0.09710101652043787, 0.004602589870266842, 0.024997166499043957, -0.08437632171747585, 0.016840046412791267, 0.13956569719382309, 0.11404615334432686, -0.14153786049450212, -0.07385042244145139, -0.04671370507937602, 0.020898367736883687, 0.022063788298207026, 0.07656710046505781, 0.11730526358764054, 0.016930923064302824, -0.12136762738792282, 0.3449356392816161, -0.07105203981292575, -0.40353824638507585, 0.053522968043883644, -0.13983005175903213, -0.15247396371948221, 0.10985207899163167, 0.15208491193356388, 0.21371169185096567, -0.1386600322739193, 0.1882019034061214, -0.024224002337591213, 0.060010955060451204, 0.13803842896595597, -0.016751785734386154, 0.12034132987768813, 0.05793530395198049, 0.1431520010598681, 0.05940787560856817, 0.052505883550497165, -0.13114138924742513, -0.3983578032842188, -0.22809813425622202, -0.13105337664742503, 0.19807901095698593, -0.1507061690398118, -0.22495176428646751, 0.3698054947749232, -0.07805220355195078, 0.1667821059342135, 0.12378911202717008, 0.19769345094082932, -0.049659918217609324, 0.047479280387051404, 0.13403087066288924, 0.22676153313042244, 0.24437359248104534, 0.10766749833287163, -0.049226206491408506, -0.0002392005796233813, 0.10595531839256485] |
710.2617 | Cosmic Ray Propagation: Nonlinear Diffusion Parallel and Perpendicular
to Mean Magnetic Field | We consider the propagation of cosmic rays in turbulent magnetic fields. We
use the models of magnetohydrodynamic turbulence that were tested in numerical
simulations, in which the turbulence is injected on large scale and cascades to
small scales. Our attention is focused on the models of the strong turbulence,
but we also briefly discuss the effects that the weak turbulence and the slab
Alfv\'enic perturbations can have. The latter are likely to emerge as a result
of instabilities with in the cosmic ray fluid itself, e.g., beaming and
gyroresonance instabilities of cosmic rays. To describe the interaction of
cosmic rays with magnetic perturbations we develop a non-linear formalism that
extends the ordinary Quasi-Linear Theory (QLT) that is routinely used for the
purpose. This allows us to avoid the usual problem of 90 degree scattering and
enable our computation of the mean free path of cosmic rays. We apply the
formalism to the cosmic ray propagation in the galactic halo and in the Warm
Ionized medium (WIM). In addition, we address the issue of the transport of
cosmic rays perpendicular to the mean magnetic field and show that the issue of
cosmic ray subdiffusion (i.e., propagation with retracing the trajectories
backwards, which slows down the diffusion) is only important for restricted
cases when the ambient turbulence is far from what numerical simulations
suggest to us. As a result, this work provides formalism that can be applied
for calculating cosmic ray propagation in a wide variety of circumstances.
| astro-ph | we consider the propagation of cosmic rays in turbulent magnetic fields we use the models of magnetohydrodynamic turbulence that were tested in numerical simulations in which the turbulence is injected on large scale and cascades to small scales our attention is focused on the models of the strong turbulence but we also briefly discuss the effects that the weak turbulence and the slab alfvenic perturbations can have the latter are likely to emerge as a result of instabilities with in the cosmic ray fluid itself eg beaming and gyroresonance instabilities of cosmic rays to describe the interaction of cosmic rays with magnetic perturbations we develop a nonlinear formalism that extends the ordinary quasilinear theory qlt that is routinely used for the purpose this allows us to avoid the usual problem of 90 degree scattering and enable our computation of the mean free path of cosmic rays we apply the formalism to the cosmic ray propagation in the galactic halo and in the warm ionized medium wim in addition we address the issue of the transport of cosmic rays perpendicular to the mean magnetic field and show that the issue of cosmic ray subdiffusion ie propagation with retracing the trajectories backwards which slows down the diffusion is only important for restricted cases when the ambient turbulence is far from what numerical simulations suggest to us as a result this work provides formalism that can be applied for calculating cosmic ray propagation in a wide variety of circumstances | [['we', 'consider', 'the', 'propagation', 'of', 'cosmic', 'rays', 'in', 'turbulent', 'magnetic', 'fields', 'we', 'use', 'the', 'models', 'of', 'magnetohydrodynamic', 'turbulence', 'that', 'were', 'tested', 'in', 'numerical', 'simulations', 'in', 'which', 'the', 'turbulence', 'is', 'injected', 'on', 'large', 'scale', 'and', 'cascades', 'to', 'small', 'scales', 'our', 'attention', 'is', 'focused', 'on', 'the', 'models', 'of', 'the', 'strong', 'turbulence', 'but', 'we', 'also', 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710.2618 | Probing the Intrinsic Shape and Alignment of Dark Matter Haloes using
SDSS Galaxy Groups | We study the three-dimensional and projected shapes of galaxy groups in the
Sloan Digital Sky Survey Data Release 4, and examine the alignment between the
orientation of the central galaxy and the spatial distribution of satellite
galaxies. The projected ellipticity of a group is measured using the moments of
the discrete distribution of its member galaxies. We infer the
three-dimensional and projected axis ratios of their dark matter haloes by
comparing the measured ellipticity distributions with those obtained from Monte
Carlo simulations of projected, triaxial dark matter haloes with different axis
ratios. We find that the halo shape has a strong dependence on the halo mass.
While the haloes of low-mass groups are nearly spherical, those of massive
groups tend to be prolate. For groups containing at least four members, the
statistical distribution of their measured ellipticities does not have a strong
dependence on the colors of their central galaxies. Our analysis further shows
that the average three-dimensional axis ratio for haloes with $12<{\rm
log}[M/(h^{-1}M_{\odot})]\leq15$ is about $1:0.46:0.46$, resulting in a
projected axis ratio of $\sim 0.77$. Our results for the alignment between the
orientation of the central galaxy of a group and the distribution of their
satellite galaxies are in broad agreement with those obtained by Yang et al.
The distribution of satellite galaxies preferentially aligns with the major
axis of the central galaxy, with a clear dependence on both halo mass and
galaxy colors. (abridged)
| astro-ph | we study the threedimensional and projected shapes of galaxy groups in the sloan digital sky survey data release 4 and examine the alignment between the orientation of the central galaxy and the spatial distribution of satellite galaxies the projected ellipticity of a group is measured using the moments of the discrete distribution of its member galaxies we infer the threedimensional and projected axis ratios of their dark matter haloes by comparing the measured ellipticity distributions with those obtained from monte carlo simulations of projected triaxial dark matter haloes with different axis ratios we find that the halo shape has a strong dependence on the halo mass while the haloes of lowmass groups are nearly spherical those of massive groups tend to be prolate for groups containing at least four members the statistical distribution of their measured ellipticities does not have a strong dependence on the colors of their central galaxies our analysis further shows that the average threedimensional axis ratio for haloes with 12rm logmh1m_odotleq15 is about 1046046 resulting in a projected axis ratio of sim 077 our results for the alignment between the orientation of the central galaxy of a group and the distribution of their satellite galaxies are in broad agreement with those obtained by yang et al the distribution of satellite galaxies preferentially aligns with the major axis of the central galaxy with a clear dependence on both halo mass and galaxy colors abridged | [['we', 'study', 'the', 'threedimensional', 'and', 'projected', 'shapes', 'of', 'galaxy', 'groups', 'in', 'the', 'sloan', 'digital', 'sky', 'survey', 'data', 'release', '4', 'and', 'examine', 'the', 'alignment', 'between', 'the', 'orientation', 'of', 'the', 'central', 'galaxy', 'and', 'the', 'spatial', 'distribution', 'of', 'satellite', 'galaxies', 'the', 'projected', 'ellipticity', 'of', 'a', 'group', 'is', 'measured', 'using', 'the', 'moments', 'of', 'the', 'discrete', 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710.2619 | The Effects of Fourth Generation on the double Lepton Polarization in B
\rar K \ell^+ \ell^- decay | This study investigates the influence of the fourth generation quarks on the
double lepton polarizations in B \rar K \ell^+ \ell^- decay. Taking
|V_{t's}V_{t'b}|\sim \{0.01-0.03\} with phase about 100^\circ, which is
consistent with the b\to s\ell^+\ell^- rate and the B_s mixing parameter Delta
m_{B_s}$, we obtain that the double lepton(muon and tau) polarizations are
quite sensitive to the existence of fourth generation. It can serve as a good
tool to search for new physics effects, precisely, to indirect search for the
fourth generation quarks(t', b').
| hep-ph | this study investigates the influence of the fourth generation quarks on the double lepton polarizations in b rar k ell ell decay taking v_tsv_tbsim 001003 with phase about 100circ which is consistent with the bto sellell rate and the b_s mixing parameter delta m_b_s we obtain that the double leptonmuon and tau polarizations are quite sensitive to the existence of fourth generation it can serve as a good tool to search for new physics effects precisely to indirect search for the fourth generation quarkst b | [['this', 'study', 'investigates', 'the', 'influence', 'of', 'the', 'fourth', 'generation', 'quarks', 'on', 'the', 'double', 'lepton', 'polarizations', 'in', 'b', 'rar', 'k', 'ell', 'ell', 'decay', 'taking', 'v_tsv_tbsim', '001003', 'with', 'phase', 'about', '100circ', 'which', 'is', 'consistent', 'with', 'the', 'bto', 'sellell', 'rate', 'and', 'the', 'b_s', 'mixing', 'parameter', 'delta', 'm_b_s', 'we', 'obtain', 'that', 'the', 'double', 'leptonmuon', 'and', 'tau', 'polarizations', 'are', 'quite', 'sensitive', 'to', 'the', 'existence', 'of', 'fourth', 'generation', 'it', 'can', 'serve', 'as', 'a', 'good', 'tool', 'to', 'search', 'for', 'new', 'physics', 'effects', 'precisely', 'to', 'indirect', 'search', 'for', 'the', 'fourth', 'generation', 'quarkst', 'b']] | [-0.12203728905822857, 0.2217955869420555, -0.019216857574941838, 0.1163584406611072, -0.10586739389831762, -0.15715724299381295, 0.0991774639479412, 0.2718179556036211, -0.2820526462452239, -0.283103797315474, 0.022172229483734863, -0.2915151694688542, -0.024098227109131683, 0.190318705121347, 0.10148648840251816, 0.0411238538897989, 0.036003851488860976, 0.00012356081012501773, -0.047250717583796883, -0.1776463954586042, 0.23015506783253456, 0.0281617512073682, 0.20730482838509312, 0.055193779382753716, -0.04133061008213694, -0.010889689965420458, -0.07017353393631168, -0.08106424735791712, -0.17613475579610277, 0.052628257468971144, 0.18762353822274738, 0.09751206708241658, 0.1434329194409481, -0.28908968130575424, -0.09369328101894941, 0.17171481097992286, 0.12123812590332994, 0.05728568978949888, -0.06650795671578318, -0.29833374720021905, 0.1487719222387097, -0.14881875691374383, -0.08822745821966105, -0.1232822195918535, 0.055120942687772845, -0.030236091422680092, -0.4003124287329524, 0.0828742626044585, 0.02137240370825292, -0.013267044830753142, 0.05640259287488389, -0.2184383042538202, -0.008011141031733659, 0.08840468509616442, 0.11740494867034974, 0.08704784340000744, 0.0661135248830037, -0.12079909347076283, -0.14891172762601132, 0.43037017888153895, -0.1461837905829391, -0.16363839110561523, 0.12465995122644916, -0.2427894531199372, -0.1587945543038827, 0.10421683046832142, 0.21682192941746078, 0.11833766355257795, -0.13143832168642836, 0.09472982840001, -0.010746872097433332, 0.14596495504704227, 0.0666848435403263, 0.08045901780308459, 0.23869251482278467, 0.18616629791367484, 0.0630273618510958, 0.07253271378913378, -0.12213378546602395, -0.05008745671485562, -0.371197295206857, -0.1621468280812344, -0.05877666786896536, 0.07461153439818377, -0.04787331848673197, -0.09356469923563032, 0.4047474282602948, 0.09266646741047861, 0.22415564080184125, 0.01305763254149716, 0.29395059682428837, 0.0931885167774015, 0.06661823153613607, 0.018074259043429946, 0.30053067568644704, 0.18977129426840916, 0.12714191337665878, -0.2861374832229711, 0.0795142846602767, 0.051572905281132245] |
710.262 | Generalized versus selected descriptions of quantum LC - circuits | Proofs are given that the quantum-mechanical description of the LC -circuit
with a time dependent external source can be readily established by starting
from a more general discretization rule of the electric charge. For this
purpose one resorts to an arbitrary but integer-dependent real function F(n)
instead of n. This results in a nontrivial generalization of the discrete time
dependent Schrodinger-equation established before via F(n)=n, as well as to
modified charge conservation laws. However, selected descriptions can also be
done by looking for a unique derivation of the effective inductance. This leads
to site independent inductances, but site dependent ones get implied by
accounting for periodic solutions to F(n) in terms of Jacobian elliptic
functions. Many-charge generalizations of quantum circuits, including the
modified continuity equation for total charge and current densities, have also
been discussed.
| cond-mat.mes-hall | proofs are given that the quantummechanical description of the lc circuit with a time dependent external source can be readily established by starting from a more general discretization rule of the electric charge for this purpose one resorts to an arbitrary but integerdependent real function fn instead of n this results in a nontrivial generalization of the discrete time dependent schrodingerequation established before via fnn as well as to modified charge conservation laws however selected descriptions can also be done by looking for a unique derivation of the effective inductance this leads to site independent inductances but site dependent ones get implied by accounting for periodic solutions to fn in terms of jacobian elliptic functions manycharge generalizations of quantum circuits including the modified continuity equation for total charge and current densities have also been discussed | [['proofs', 'are', 'given', 'that', 'the', 'quantummechanical', 'description', 'of', 'the', 'lc', 'circuit', 'with', 'a', 'time', 'dependent', 'external', 'source', 'can', 'be', 'readily', 'established', 'by', 'starting', 'from', 'a', 'more', 'general', 'discretization', 'rule', 'of', 'the', 'electric', 'charge', 'for', 'this', 'purpose', 'one', 'resorts', 'to', 'an', 'arbitrary', 'but', 'integerdependent', 'real', 'function', 'fn', 'instead', 'of', 'n', 'this', 'results', 'in', 'a', 'nontrivial', 'generalization', 'of', 'the', 'discrete', 'time', 'dependent', 'schrodingerequation', 'established', 'before', 'via', 'fnn', 'as', 'well', 'as', 'to', 'modified', 'charge', 'conservation', 'laws', 'however', 'selected', 'descriptions', 'can', 'also', 'be', 'done', 'by', 'looking', 'for', 'a', 'unique', 'derivation', 'of', 'the', 'effective', 'inductance', 'this', 'leads', 'to', 'site', 'independent', 'inductances', 'but', 'site', 'dependent', 'ones', 'get', 'implied', 'by', 'accounting', 'for', 'periodic', 'solutions', 'to', 'fn', 'in', 'terms', 'of', 'jacobian', 'elliptic', 'functions', 'manycharge', 'generalizations', 'of', 'quantum', 'circuits', 'including', 'the', 'modified', 'continuity', 'equation', 'for', 'total', 'charge', 'and', 'current', 'densities', 'have', 'also', 'been', 'discussed']] | [-0.09863513740019425, 0.12521023572261947, -0.07074865809452713, 0.08654360945206976, -0.07149925626310191, -0.18767467314811578, 0.03961166880737738, 0.31878703684174925, -0.2520562509894091, -0.3024180071162326, 0.07892547682044972, -0.24116097151518875, -0.10168249747029652, 0.22699945503705762, -0.029209973013966828, 0.04915421594746579, -0.0017196992937391414, 0.03388720020805871, -0.08674934885072473, -0.23148655232577758, 0.2893990026296754, 0.04790091672054443, 0.2544109339622739, 0.06205187448041331, 0.1193355006066018, 0.022026066353222483, -0.03586778957291709, 0.05331591804182731, -0.1019041959489665, 0.08278006718833615, 0.24895445935435145, 0.059622597306845555, 0.21635048793404735, -0.4739471717100394, -0.21077629786222837, 0.09317953776064, 0.14936985396622518, 0.1285492311454119, -0.04060165647689089, -0.25330807869777755, 0.07740271092861667, -0.16301104631905156, -0.17659226082671517, -0.09157904753412463, 0.05985161464458289, 0.088066898362494, -0.2681365670527759, 0.0719423413268357, 0.0738616405672891, 0.03837670475435776, -0.05297577790425796, -0.12213199841877431, -0.02118634986971274, 0.09340920689895651, 0.031669972208853724, 0.04428712569292691, 0.10855716626558985, -0.1072168876889645, -0.10859839614004568, 0.3500183360034922, -0.05803555775087159, -0.27224785107699107, 0.11660391938893643, -0.10080300855338294, -0.10292857049271129, 0.11615873433481481, 0.0956071297764162, 0.11950431876514751, -0.1994761304887838, 0.08777317143512778, -0.016513134167298563, 0.14012865762093238, 0.08063265929743473, 0.0486983773005335, 0.18193537942168855, 0.10369312396987264, 0.06939719982018092, 0.13007367826311997, 0.019778419495210108, -0.11201719888591004, -0.3417748177382059, -0.14335978052865966, -0.2089911906566835, 0.10769394895103865, -0.08576830850265958, -0.16978179717600989, 0.3909214865232475, 0.10825830244956385, 0.18008688313158272, 0.03904295025946558, 0.27018212952434006, 0.21618065274236514, 0.0885547446157027, 0.023298505844226235, 0.18031724334407345, 0.13145996893132875, 0.11494997434871257, -0.19234296868124598, 0.07307945925364256, 0.10976639454939256] |
710.2621 | Absence of Wavepacket Diffusion in Disordered Nonlinear Systems | We study the spreading of an initially localized wavepacket in two nonlinear
chains (discrete nonlinear Schroedinger and quartic Klein-Gordon) with
disorder. Previous studies suggest that there are many initial conditions such
that the second moment of the norm and energy density distributions diverge as
a function of time. We find that the participation number of a wavepacket does
not diverge simultaneously. We prove this result analytically for
norm-conserving models and strong enough nonlinearity. After long times the
dynamical state consists of a distribution of nondecaying yet interacting
normal modes. The Fourier spectrum shows quasiperiodic dynamics. Assuming this
result holds for any initially localized wavepacket, a limit profile for the
norm/energy distribution with infinite second moment should exist in all cases
which rules out the possibility of slow energy diffusion (subdiffusion). This
limit profile could be a quasiperiodic solution (KAM torus).
| cond-mat.dis-nn | we study the spreading of an initially localized wavepacket in two nonlinear chains discrete nonlinear schroedinger and quartic kleingordon with disorder previous studies suggest that there are many initial conditions such that the second moment of the norm and energy density distributions diverge as a function of time we find that the participation number of a wavepacket does not diverge simultaneously we prove this result analytically for normconserving models and strong enough nonlinearity after long times the dynamical state consists of a distribution of nondecaying yet interacting normal modes the fourier spectrum shows quasiperiodic dynamics assuming this result holds for any initially localized wavepacket a limit profile for the normenergy distribution with infinite second moment should exist in all cases which rules out the possibility of slow energy diffusion subdiffusion this limit profile could be a quasiperiodic solution kam torus | [['we', 'study', 'the', 'spreading', 'of', 'an', 'initially', 'localized', 'wavepacket', 'in', 'two', 'nonlinear', 'chains', 'discrete', 'nonlinear', 'schroedinger', 'and', 'quartic', 'kleingordon', 'with', 'disorder', 'previous', 'studies', 'suggest', 'that', 'there', 'are', 'many', 'initial', 'conditions', 'such', 'that', 'the', 'second', 'moment', 'of', 'the', 'norm', 'and', 'energy', 'density', 'distributions', 'diverge', 'as', 'a', 'function', 'of', 'time', 'we', 'find', 'that', 'the', 'participation', 'number', 'of', 'a', 'wavepacket', 'does', 'not', 'diverge', 'simultaneously', 'we', 'prove', 'this', 'result', 'analytically', 'for', 'normconserving', 'models', 'and', 'strong', 'enough', 'nonlinearity', 'after', 'long', 'times', 'the', 'dynamical', 'state', 'consists', 'of', 'a', 'distribution', 'of', 'nondecaying', 'yet', 'interacting', 'normal', 'modes', 'the', 'fourier', 'spectrum', 'shows', 'quasiperiodic', 'dynamics', 'assuming', 'this', 'result', 'holds', 'for', 'any', 'initially', 'localized', 'wavepacket', 'a', 'limit', 'profile', 'for', 'the', 'normenergy', 'distribution', 'with', 'infinite', 'second', 'moment', 'should', 'exist', 'in', 'all', 'cases', 'which', 'rules', 'out', 'the', 'possibility', 'of', 'slow', 'energy', 'diffusion', 'subdiffusion', 'this', 'limit', 'profile', 'could', 'be', 'a', 'quasiperiodic', 'solution', 'kam', 'torus']] | [-0.1768030142545593, 0.17210076903857763, -0.11499502026939115, 0.09823978783666631, -0.025696135697243133, -0.13746767552827466, 0.005522347407971623, 0.35894091994159943, -0.25115133830339464, -0.21756100458287292, 0.09286118654715125, -0.27166923140795407, -0.1223048881574018, 0.1654965717667084, 0.023529485943425688, 0.06452916799742969, 0.07841682737850644, 0.03422074766306997, -0.041885929676308796, -0.20040520676830448, 0.30805571477026045, 0.007573685875135682, 0.2597581497159043, 0.03010905347764492, 0.0614980287019083, 0.02267231567756092, 0.05955125189138402, -0.009356732420672403, -0.11175947246327451, 0.025791017514931562, 0.2007685499177065, 0.05726697085351556, 0.29683504275401396, -0.4448563144039765, -0.2634522363396107, 0.13740720544613416, 0.18029619483344203, 0.14887259575863296, -0.0294707278409477, -0.26086058042501264, 0.014818299100684043, -0.14009181064345855, -0.23552676890608218, -0.0786330208597745, 0.0647230729119008, 0.078537360686313, -0.28233790404762965, 0.15877769347665524, 0.12617684362800424, 0.015468884192460732, -0.08286657498600028, -0.04790478634895931, -0.02779546695285671, 0.08644711469105787, 0.08234319047048741, -0.01620399192973918, 0.09429046146889056, -0.10458208960078978, -0.06066388760780474, 0.3243597160937707, -0.10710240197250713, -0.20762935071754798, 0.17449075594149102, -0.1957964294090894, -0.13387816092468424, 0.16601649263753093, 0.13404682002586427, 0.13048704422795945, -0.11960648014226916, 0.08517303570925774, -0.057568329702995774, 0.20351773744286542, 0.08016433818399799, 0.035213317933137256, 0.1918387827463448, 0.11566893524563998, 0.10025589709654249, 0.11206934656428588, -0.07470953675311916, -0.12130439826521836, -0.31701611628983734, -0.11654802476367478, -0.20949360311430001, 0.1083936882524612, -0.08116135818570963, -0.21317231452775945, 0.396184276672174, 0.10626510278616609, 0.19669254400902228, 0.0674052478336451, 0.21949402261994405, 0.18788153993672685, 0.016383059734894, 0.09793624077360782, 0.23272138497483977, 0.11402555493463715, 0.09582205156949784, -0.2298185970473418, 0.01656331572172453, 0.041520864236890505] |
710.2622 | The escape of Lyman photons from a young starburst: the case of Haro 11 | (Abridged) Lyman-alpha (Lya) is a dominant probe of the galaxy population at
high-z. However, interpretation of data drawn from Lya alone hinges on the Lya
escape fraction which, due to the complex radiative transport, may vary
greatly. Here we map the Lya emission from local starburst Haro 11, a Lya
emitter and the only known candidate for low-z Lyman continuum emission (LyC).
To aid in the interpretation we perform a detailed multi-wavelength analysis
and model the stellar population, dust distribution, ionising photon budget,
and star-cluster population. We use archival X-ray observations to further
constrain properties of the starburst and estimate the HI column density.
The Lya morphology is found to be strongly decoupled from stellar and nebular
(H-alpha) morphologies. General surface photometry finds only very slight
correlation between Lya and H-halpha, E(B-V), and stellar age. Only around the
central Lya-bright cluster do we find the Lya/Ha ratio at values predicted by
recombination theory. The total Lya escape fraction is found to be just 3%. We
compute that ~90% of the Lya photons that escape do so after undergoing
multiple resonance scattering events, masking their point of origin. This leads
to a largely symmetric distribution and, by increasing the distance that
photons must travel to escape, decreases the escape probability significantly.
While dust must ultimately be responsible for the destruction of Lya, it plays
little role in governing the observed morphology, which is regulated more by
ISM kinematics and geometry. We find tentative evidence for local Lya
equivalent width in the immediate vicinity of star-clusters being a function of
cluster age, consistent with hydrodynamic studies. We estimate the ionising
photon production and further constrain the escape fraction at 900 AA to <~9% .
| astro-ph | abridged lymanalpha lya is a dominant probe of the galaxy population at highz however interpretation of data drawn from lya alone hinges on the lya escape fraction which due to the complex radiative transport may vary greatly here we map the lya emission from local starburst haro 11 a lya emitter and the only known candidate for lowz lyman continuum emission lyc to aid in the interpretation we perform a detailed multiwavelength analysis and model the stellar population dust distribution ionising photon budget and starcluster population we use archival xray observations to further constrain properties of the starburst and estimate the hi column density the lya morphology is found to be strongly decoupled from stellar and nebular halpha morphologies general surface photometry finds only very slight correlation between lya and hhalpha ebv and stellar age only around the central lyabright cluster do we find the lyaha ratio at values predicted by recombination theory the total lya escape fraction is found to be just 3 we compute that 90 of the lya photons that escape do so after undergoing multiple resonance scattering events masking their point of origin this leads to a largely symmetric distribution and by increasing the distance that photons must travel to escape decreases the escape probability significantly while dust must ultimately be responsible for the destruction of lya it plays little role in governing the observed morphology which is regulated more by ism kinematics and geometry we find tentative evidence for local lya equivalent width in the immediate vicinity of starclusters being a function of cluster age consistent with hydrodynamic studies we estimate the ionising photon production and further constrain the escape fraction at 900 aa to 9 | [['abridged', 'lymanalpha', 'lya', 'is', 'a', 'dominant', 'probe', 'of', 'the', 'galaxy', 'population', 'at', 'highz', 'however', 'interpretation', 'of', 'data', 'drawn', 'from', 'lya', 'alone', 'hinges', 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710.2623 | Cup products in Hopf cyclic cohomology via cyclic modules I | This is the first one in a series of two papers on the continuation of our
study in cup products in Hopf cyclic cohomology. In this note we construct
cyclic cocycles of algebras out of Hopf cyclic cocycles of algebras and
coalgebras. In the next paper we consider producing Hopf cyclic cocycle from
"equivariant" Hopf cyclic cocycles. Our approach in both situations is based on
(co)cyclic modules and bi(co)cyclic modules together with Eilenberg-Zilber
theorem which is different from the old definition of cup products defined via
traces and cotraces on DG algebras and coalgebras.
| math.KT math.OA | this is the first one in a series of two papers on the continuation of our study in cup products in hopf cyclic cohomology in this note we construct cyclic cocycles of algebras out of hopf cyclic cocycles of algebras and coalgebras in the next paper we consider producing hopf cyclic cocycle from equivariant hopf cyclic cocycles our approach in both situations is based on cocyclic modules and bicocyclic modules together with eilenbergzilber theorem which is different from the old definition of cup products defined via traces and cotraces on dg algebras and coalgebras | [['this', 'is', 'the', 'first', 'one', 'in', 'a', 'series', 'of', 'two', 'papers', 'on', 'the', 'continuation', 'of', 'our', 'study', 'in', 'cup', 'products', 'in', 'hopf', 'cyclic', 'cohomology', 'in', 'this', 'note', 'we', 'construct', 'cyclic', 'cocycles', 'of', 'algebras', 'out', 'of', 'hopf', 'cyclic', 'cocycles', 'of', 'algebras', 'and', 'coalgebras', 'in', 'the', 'next', 'paper', 'we', 'consider', 'producing', 'hopf', 'cyclic', 'cocycle', 'from', 'equivariant', 'hopf', 'cyclic', 'cocycles', 'our', 'approach', 'in', 'both', 'situations', 'is', 'based', 'on', 'cocyclic', 'modules', 'and', 'bicocyclic', 'modules', 'together', 'with', 'eilenbergzilber', 'theorem', 'which', 'is', 'different', 'from', 'the', 'old', 'definition', 'of', 'cup', 'products', 'defined', 'via', 'traces', 'and', 'cotraces', 'on', 'dg', 'algebras', 'and', 'coalgebras']] | [-0.21970915479926012, 0.056781179329220166, -0.07905963574966757, 0.028472524978751218, -0.06775617283037914, -0.11326320577032303, -0.033489995053969324, 0.34954077538142925, -0.4104865824262942, -0.14387551230448548, 0.18064822812604728, -0.19836990306058758, -0.1999113484015388, 0.2214179016898201, -0.19899641683385258, -0.08315920756669135, 0.1285778806665011, 0.11484758840793724, -0.10494418642846667, -0.24711936756922182, 0.48432522964092994, -0.012926872962364746, 0.19274075454731862, 0.0191621837076, 0.10235966242829798, 0.01877264286922191, -0.1255162989530432, -0.04249472451466386, -0.19118335470056502, 0.07973804249257971, 0.34064806585190116, 0.030143122474152233, 0.20174655498516175, -0.35670817142692945, -0.04340313233795666, 0.1696343803377722, 0.13608142963901002, 0.041349684663106914, 0.005563295505169819, -0.27525966141813546, 0.08346603688363347, -0.2992344685362011, -0.021733871866418147, -0.06278940909091503, 0.06855667392492935, 0.03443031306178259, -0.24263454781424615, -0.0014273805183268363, 0.07369371214931611, 0.18475535131430113, -0.1102426441746854, -0.04841710498396267, -0.08594588146755291, 0.11027433908474381, -0.028044665341205414, -0.023578760206639286, 0.11607901398993788, -0.02271474380626954, -0.25379907961694465, 0.3352204390591191, -0.05166487881202771, -0.17443521088239566, 0.12043962887017637, -0.1725549832967821, -0.2527300839422531, 0.07443763577048818, 0.03914405994482779, 0.19342510604489876, -0.0328284044079082, 0.1478785610161922, -0.104811115200401, -0.009242654118376473, 0.11283665183450907, -0.0281436970089412, 0.13607526498456154, 0.09991388689846761, 0.04428360393891732, 0.16535276060383167, 0.0751967315226593, -0.06494125301238671, -0.34228190006588094, -0.19424630310987273, -0.0358755836083043, 0.13761470782300156, -0.10074729196444374, -0.19230088814892757, 0.48466198602991717, 0.1379009417849042, 0.15456036869086004, 0.12383841664745643, 0.22360508456345526, 0.005363776505003453, 0.12750381865208188, 0.0019103022222156808, 0.11830365302301543, 0.2690531541142733, 0.037885847671698496, -0.06306559071745924, -0.05931704295598852, 0.28475495001241086] |
710.2624 | On the use of Neumann's principle for the calculation of the
polarizability tensor of nanostructures | The polarizability measures how the system responds to an applied electrical
field. Computationally, there are many different ways to evaluate this
tensorial quantity, some of which rely on the explicit use of the external
perturbation and require several individual calculations to obtain the full
tensor. In this work, we present some considerations about symmetry that allow
us to take full advantage of Neumann's principle and decrease the number of
calculations required by these methods. We illustrate the approach with two
examples, the use of the symmetries in real space and in spin space in the
calculation of the electrical or the spin response.
| cond-mat.mtrl-sci | the polarizability measures how the system responds to an applied electrical field computationally there are many different ways to evaluate this tensorial quantity some of which rely on the explicit use of the external perturbation and require several individual calculations to obtain the full tensor in this work we present some considerations about symmetry that allow us to take full advantage of neumanns principle and decrease the number of calculations required by these methods we illustrate the approach with two examples the use of the symmetries in real space and in spin space in the calculation of the electrical or the spin response | [['the', 'polarizability', 'measures', 'how', 'the', 'system', 'responds', 'to', 'an', 'applied', 'electrical', 'field', 'computationally', 'there', 'are', 'many', 'different', 'ways', 'to', 'evaluate', 'this', 'tensorial', 'quantity', 'some', 'of', 'which', 'rely', 'on', 'the', 'explicit', 'use', 'of', 'the', 'external', 'perturbation', 'and', 'require', 'several', 'individual', 'calculations', 'to', 'obtain', 'the', 'full', 'tensor', 'in', 'this', 'work', 'we', 'present', 'some', 'considerations', 'about', 'symmetry', 'that', 'allow', 'us', 'to', 'take', 'full', 'advantage', 'of', 'neumanns', 'principle', 'and', 'decrease', 'the', 'number', 'of', 'calculations', 'required', 'by', 'these', 'methods', 'we', 'illustrate', 'the', 'approach', 'with', 'two', 'examples', 'the', 'use', 'of', 'the', 'symmetries', 'in', 'real', 'space', 'and', 'in', 'spin', 'space', 'in', 'the', 'calculation', 'of', 'the', 'electrical', 'or', 'the', 'spin', 'response']] | [-0.09535831458938931, 0.08595164196729067, -0.08205081986317646, 0.041225842161791273, -0.09071077852175363, -0.06346025355883593, 0.04219813243196644, 0.3739782341584129, -0.24774134556482574, -0.32452616944583584, 0.09199779093586523, -0.2583029507455931, -0.17387583221815237, 0.19619717164353911, -0.01965711025286068, 0.04566056902511317, 0.017613074941180862, 0.04740063618705834, -0.09949377047133098, -0.24917592863479937, 0.33850654314082224, 0.01329042962345394, 0.2752374665974413, 0.06685531971686819, 0.0804163238657548, 0.03889066538122456, -0.040251705915332565, 0.022201144615147553, -0.140960669898085, 0.1655899508024376, 0.21935237388045176, 0.11648293322368154, 0.25385380019117326, -0.5159200058834067, -0.19170528079735713, 0.09527936570563363, 0.09103971057417758, 0.1573745755838158, -0.009634855062049787, -0.24343682698073607, 0.04185318691176769, -0.19388141231701791, -0.1265657178252863, -0.19356786967842904, -0.02956664161101092, -0.0026687368009130933, -0.23184395713496556, 0.03256530214318083, 0.05551613713795482, 0.054822130783012325, -0.06895734625190351, -0.10215587218549753, 0.016980787076833613, 0.16564642012037917, 0.08861944670743734, -0.015616354803798848, 0.13593026563113791, -0.09628608801736421, -0.11645905160372264, 0.37757783668857176, -0.032866187357497446, -0.25168318878316764, 0.18619530415614544, -0.15563828435283408, -0.14640462084320707, 0.1089937804104055, 0.15886320791080666, 0.11400096714767871, -0.119808402943235, 0.07475612820996405, -0.0019449540323496443, 0.15115757066376725, 0.01728197726764653, 0.047103445637898825, 0.15719513416977474, 0.09513726120009947, 0.053663797990206485, 0.1318573734307101, -0.054031579228552076, -0.08181330301229237, -0.31553311234575165, -0.16926546753338964, -0.18616532808332478, 0.05215518986715854, -0.08890926947738655, -0.1526056050539957, 0.4227828880437442, 0.24516217553427497, 0.18052607608418822, 0.026539867216024946, 0.3086218341497831, 0.1107969299067282, 0.07377839970935895, 0.02613919809713815, 0.24902734446884087, 0.1521623453048501, 0.09706502580038696, -0.2523243052803559, 0.02843014550964954, 0.017865145578980446] |
710.2625 | On two problems concerning topological centers | Let G be an infinite discrete group and bG its Cech-Stone compactification.
Using the well known fact that a free ultrafilter on an infinite set is
nonmeasurable, we show that for each element p of the remainder bG G, left
multiplication L_p:bG \to bG is not Borel measurable. Next assume that G is
abelian. Let D \subset \ell^\infty(G)$ denote the subalgebra of distal
functions on G and let G^D denote the corresponding universal distal (right
topological group) compactification of G. Our second result is that the
topological center of G^D (i.e. the set of p in G^D for which L_p:G^D \to G^D
is a continuous map) is the same as the algebraic center and that for G=Z (the
group of integers) this center coincides with the canonical image of G in G^D.
| math.DS | let g be an infinite discrete group and bg its cechstone compactification using the well known fact that a free ultrafilter on an infinite set is nonmeasurable we show that for each element p of the remainder bg g left multiplication l_pbg to bg is not borel measurable next assume that g is abelian let d subset ellinftyg denote the subalgebra of distal functions on g and let gd denote the corresponding universal distal right topological group compactification of g our second result is that the topological center of gd ie the set of p in gd for which l_pgd to gd is a continuous map is the same as the algebraic center and that for gz the group of integers this center coincides with the canonical image of g in gd | [['let', 'g', 'be', 'an', 'infinite', 'discrete', 'group', 'and', 'bg', 'its', 'cechstone', 'compactification', 'using', 'the', 'well', 'known', 'fact', 'that', 'a', 'free', 'ultrafilter', 'on', 'an', 'infinite', 'set', 'is', 'nonmeasurable', 'we', 'show', 'that', 'for', 'each', 'element', 'p', 'of', 'the', 'remainder', 'bg', 'g', 'left', 'multiplication', 'l_pbg', 'to', 'bg', 'is', 'not', 'borel', 'measurable', 'next', 'assume', 'that', 'g', 'is', 'abelian', 'let', 'd', 'subset', 'ellinftyg', 'denote', 'the', 'subalgebra', 'of', 'distal', 'functions', 'on', 'g', 'and', 'let', 'gd', 'denote', 'the', 'corresponding', 'universal', 'distal', 'right', 'topological', 'group', 'compactification', 'of', 'g', 'our', 'second', 'result', 'is', 'that', 'the', 'topological', 'center', 'of', 'gd', 'ie', 'the', 'set', 'of', 'p', 'in', 'gd', 'for', 'which', 'l_pgd', 'to', 'gd', 'is', 'a', 'continuous', 'map', 'is', 'the', 'same', 'as', 'the', 'algebraic', 'center', 'and', 'that', 'for', 'gz', 'the', 'group', 'of', 'integers', 'this', 'center', 'coincides', 'with', 'the', 'canonical', 'image', 'of', 'g', 'in', 'gd']] | [-0.14777639411533108, 0.13823158169062272, -0.09432417329114218, -0.014628767787228124, -0.11062405867000612, -0.11171336862831735, 0.04724446354039873, 0.34014789091709713, -0.34319792763831525, -0.17344288737513125, 0.0701794136261854, -0.31246477656162686, -0.07412740399058049, 0.18591648645770664, -0.13056069537191295, -0.08319883792204424, -0.0005093528065257348, 0.20128309961694937, -0.07340165174996051, -0.2340871642773541, 0.3185632052473151, -0.06332596347738917, 0.20814987810221142, -0.012244328899452319, 0.0986718200899374, 0.005170066586623972, 0.02876305404262474, 0.01615040552927754, -0.12300480257394016, 0.07703402371217426, 0.26163001624115095, 0.09427281565820941, 0.2528849261147955, -0.3167370211046476, -0.16722198037000802, 0.2279518975276285, 0.1133957690702608, -0.09104617358131621, -0.007269576960243285, -0.26968114051538017, 0.2078378156632355, -0.15890540265693115, -0.1161865395708726, -0.019105645831531057, 0.15578873249917077, -0.002182521986273619, -0.30499333964589126, -0.028968386044009375, 0.1093470358943495, 0.10210308591978481, -0.014600747224624054, -0.12514625417265612, -0.13973952708407664, 0.07847418416864597, -0.04001414673402905, 0.12598889570754881, 0.09481191110367385, -0.03474384061813068, -0.08238298673039446, 0.4110873697540508, -0.12179485774384095, -0.15550353296387653, 0.11338330533068913, -0.2430000689597084, -0.12674412805443772, 0.0901838415929188, 0.050004633512491216, 0.1715517143611438, -0.02665561478262624, 0.26452143263797134, -0.16352712895022706, 0.1256742404630551, 0.03670604239719418, -0.02221860782100031, 0.12893355363406814, 0.10519096935167908, 0.1322850233803575, 0.11630970123492611, -0.0015046211255069536, 0.07068446229498547, -0.3882430796439831, -0.1496622861560004, -0.20817857241401305, 0.12147507142083039, -0.11853018200994343, -0.18780942713985077, 0.3631816702823226, 0.06402483110387738, 0.17792722460312338, 0.07184147882149913, 0.18821731030654448, 0.07994272284267936, 0.05797228783978006, 0.07627113168486035, 0.06998922057234896, 0.2138754202411152, -0.1251947946130083, -0.22101661136861928, -0.012655562054938995, 0.1962075113462141] |
710.2626 | Entropy, dimension, and state mixing in a class of time-delayed
dynamical systems | Time-delay systems are, in many ways, a natural set of dynamical systems for
natural scientists to study because they form an interface between abstract
mathematics and data. However, they are complicated because past states must be
sensibly incorporated into the dynamical system. The primary goal of this paper
is to begin to isolate and understand the effects of adding time-delay
coordinates to a dynamical system. The key results include (i) an analytical
understanding regarding extreme points of a time-delay dynamical system
framework including an invariance of entropy and the variance of the
Kaplan-Yorke formula with simple time re-scalings; (ii) computational results
from a time-delay mapping that forms a path between dynamical systems dependent
upon the most distant and the most recent past; (iii) the observation that
non-trivial mixing of past states can lead to high-dimensional, high-entropy
dynamics that are not easily reduced to low-dimensional dynamical systems; (iv)
the observed phase transition (bifurcation) between low-dimensional, reducible
dynamics and high or infinite-dimensional dynamics; and (v) a convergent
scaling of the distribution of Lyapunov exponents, suggesting that the infinite
limit of delay coordinates in systems such are the ones we study will result in
a continuous or (dense) point spectrum.
| nlin.CD | timedelay systems are in many ways a natural set of dynamical systems for natural scientists to study because they form an interface between abstract mathematics and data however they are complicated because past states must be sensibly incorporated into the dynamical system the primary goal of this paper is to begin to isolate and understand the effects of adding timedelay coordinates to a dynamical system the key results include i an analytical understanding regarding extreme points of a timedelay dynamical system framework including an invariance of entropy and the variance of the kaplanyorke formula with simple time rescalings ii computational results from a timedelay mapping that forms a path between dynamical systems dependent upon the most distant and the most recent past iii the observation that nontrivial mixing of past states can lead to highdimensional highentropy dynamics that are not easily reduced to lowdimensional dynamical systems iv the observed phase transition bifurcation between lowdimensional reducible dynamics and high or infinitedimensional dynamics and v a convergent scaling of the distribution of lyapunov exponents suggesting that the infinite limit of delay coordinates in systems such are the ones we study will result in a continuous or dense point spectrum | [['timedelay', 'systems', 'are', 'in', 'many', 'ways', 'a', 'natural', 'set', 'of', 'dynamical', 'systems', 'for', 'natural', 'scientists', 'to', 'study', 'because', 'they', 'form', 'an', 'interface', 'between', 'abstract', 'mathematics', 'and', 'data', 'however', 'they', 'are', 'complicated', 'because', 'past', 'states', 'must', 'be', 'sensibly', 'incorporated', 'into', 'the', 'dynamical', 'system', 'the', 'primary', 'goal', 'of', 'this', 'paper', 'is', 'to', 'begin', 'to', 'isolate', 'and', 'understand', 'the', 'effects', 'of', 'adding', 'timedelay', 'coordinates', 'to', 'a', 'dynamical', 'system', 'the', 'key', 'results', 'include', 'i', 'an', 'analytical', 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'exponents', 'suggesting', 'that', 'the', 'infinite', 'limit', 'of', 'delay', 'coordinates', 'in', 'systems', 'such', 'are', 'the', 'ones', 'we', 'study', 'will', 'result', 'in', 'a', 'continuous', 'or', 'dense', 'point', 'spectrum']] | [-0.15726118282826268, 0.12073429976907608, -0.12579019619376508, 0.05602341952265671, -0.05586423020488417, -0.13449645433976753, 0.03487951172853177, 0.33015925156928805, -0.30412408815068076, -0.271520482364399, 0.11419671319654391, -0.2743143101983945, -0.19690874988818305, 0.21325901292292826, -0.05290133874806656, 0.061280671337520146, 0.056156105290965985, 0.013494837595395706, -0.09825006471284982, -0.20455412399366518, 0.34128559431058786, 0.03464799926044221, 0.22503050845258202, -0.017213647516189038, 0.0727372881513193, -0.01703478183082026, -0.015571230312166404, 0.042501826737510975, -0.09791722282460598, 0.0970111669054217, 0.254675519061133, 0.13255096915376557, 0.2659938426754499, -0.41929229448175975, -0.24004820391044096, 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710.2627 | Branching integrals and Casselman phenomenon | Let $G$ be a real semisimple Lie group, $K$ its maximal complex subgroup, and
$G_C$ its complexification.
It is known that all the $K$-finite matrix elements on $G$ admit holomorphic
continuation to branching functions on $G_C$ having singularities at the a
prescribed divisor. We propose a geometric explanation of this phenomenon. The
note also contsins a general survey of holomorphic continuations of
infinite-dimensional representations.
| math.RT math.CV | let g be a real semisimple lie group k its maximal complex subgroup and g_c its complexification it is known that all the kfinite matrix elements on g admit holomorphic continuation to branching functions on g_c having singularities at the a prescribed divisor we propose a geometric explanation of this phenomenon the note also contsins a general survey of holomorphic continuations of infinitedimensional representations | [['let', 'g', 'be', 'a', 'real', 'semisimple', 'lie', 'group', 'k', 'its', 'maximal', 'complex', 'subgroup', 'and', 'g_c', 'its', 'complexification', 'it', 'is', 'known', 'that', 'all', 'the', 'kfinite', 'matrix', 'elements', 'on', 'g', 'admit', 'holomorphic', 'continuation', 'to', 'branching', 'functions', 'on', 'g_c', 'having', 'singularities', 'at', 'the', 'a', 'prescribed', 'divisor', 'we', 'propose', 'a', 'geometric', 'explanation', 'of', 'this', 'phenomenon', 'the', 'note', 'also', 'contsins', 'a', 'general', 'survey', 'of', 'holomorphic', 'continuations', 'of', 'infinitedimensional', 'representations']] | [-0.2443337468107024, 0.053535684957982055, -0.12413686435181825, 0.020610679428847062, -0.2233530806214918, -0.1215753663360836, 0.04778892765679057, 0.3613665801073824, -0.3009536886617305, -0.16209402767616132, 0.09243665526931484, -0.25827308779671077, -0.21431473237536255, 0.16163808734170973, -0.11146511542536909, -0.035434660518408885, 0.06358748094903098, 0.15637788061229957, -0.11536499042995274, -0.23872260379767607, 0.392131047057254, -0.08265285221407087, 0.17597312998351833, 0.042909864833327156, 0.13102144441966498, -0.030439337774638146, 0.0336786088393262, -0.06932662364228495, -0.13564184200564225, 0.10243004073743664, 0.3348181216445352, 0.08380382872437911, 0.226372540786138, -0.32130497605318115, -0.1376047677375258, 0.2852805014422518, 0.15668709660392433, -0.052519236676513203, 0.012069393684791903, -0.2857690295056691, 0.10204149600827978, -0.1473432873922681, -0.21831151241407035, -0.10328469422852828, 0.10653369248445545, -0.06376848884281658, -0.22166587158091486, -0.010471167667890854, 0.07535280849015902, 0.14635768436664154, -0.006476987622648714, -0.13425068880823102, -0.05928438666853167, 0.018057307657150048, -0.03772658070397844, 0.10400586774099678, 0.12801350934785746, -0.06211654279780175, -0.09626734023174596, 0.41140383165625355, -0.05015765092823477, -0.2365749101678837, 0.12958678120510683, -0.22779062835292685, -0.17178243115943456, 0.13042760469825082, 0.11530079389552748, 0.17968660066761669, -0.016285169825312636, 0.23006658660273793, -0.15701517490817915, 0.011669046746286016, 0.06097522379446124, -0.041485807912919434, 0.14345488252879549, 0.08622650687568008, 0.08510693817562054, 0.05980913918132761, 0.10129258990849531, 0.03984066015405078, -0.43475946015308775, -0.1457494421536842, -0.12962016179263297, 0.2040096078481939, -0.17074276324308899, -0.21581620844228874, 0.42911098885630805, 0.025659617080929734, 0.22456512055064123, 0.16618462329331254, 0.21149630426237034, 0.1140402691764018, 0.10034313369246703, 0.06025453230425242, 0.07685313515719913, 0.2537605032797844, -0.07105223686685638, -0.1864426145256157, -0.030125377514946556, 0.17822856537347276] |
710.2628 | A Search for Single Radio Pulses and Bursts from Southern AXPs | We observed four southern AXPs in 1999 near 1400 MHz with the Parkes 64-m
radio telescope to search for periodic radio emission. No Fourier candidates
were discovered in the initial analysis, but the recent radio activity observed
for the AXP XTE J1810-197 has prompted us to revisit these data to search for
single radio pulses and bursts. The data were searched for both persistent and
bursting radio emission at a wide range of dispersion measures, but no
detections of either kind were made. These results further weaken the proposed
link between rotating radio transient sources and magnetars. However, continued
radio searches of these and other AXPs at different epochs are warranted given
the transient nature of the radio emission seen from XTE J1810-197, which until
very recently was the only known radio-emitting AXP.
| astro-ph | we observed four southern axps in 1999 near 1400 mhz with the parkes 64m radio telescope to search for periodic radio emission no fourier candidates were discovered in the initial analysis but the recent radio activity observed for the axp xte j1810197 has prompted us to revisit these data to search for single radio pulses and bursts the data were searched for both persistent and bursting radio emission at a wide range of dispersion measures but no detections of either kind were made these results further weaken the proposed link between rotating radio transient sources and magnetars however continued radio searches of these and other axps at different epochs are warranted given the transient nature of the radio emission seen from xte j1810197 which until very recently was the only known radioemitting axp | [['we', 'observed', 'four', 'southern', 'axps', 'in', '1999', 'near', '1400', 'mhz', 'with', 'the', 'parkes', '64m', 'radio', 'telescope', 'to', 'search', 'for', 'periodic', 'radio', 'emission', 'no', 'fourier', 'candidates', 'were', 'discovered', 'in', 'the', 'initial', 'analysis', 'but', 'the', 'recent', 'radio', 'activity', 'observed', 'for', 'the', 'axp', 'xte', 'j1810197', 'has', 'prompted', 'us', 'to', 'revisit', 'these', 'data', 'to', 'search', 'for', 'single', 'radio', 'pulses', 'and', 'bursts', 'the', 'data', 'were', 'searched', 'for', 'both', 'persistent', 'and', 'bursting', 'radio', 'emission', 'at', 'a', 'wide', 'range', 'of', 'dispersion', 'measures', 'but', 'no', 'detections', 'of', 'either', 'kind', 'were', 'made', 'these', 'results', 'further', 'weaken', 'the', 'proposed', 'link', 'between', 'rotating', 'radio', 'transient', 'sources', 'and', 'magnetars', 'however', 'continued', 'radio', 'searches', 'of', 'these', 'and', 'other', 'axps', 'at', 'different', 'epochs', 'are', 'warranted', 'given', 'the', 'transient', 'nature', 'of', 'the', 'radio', 'emission', 'seen', 'from', 'xte', 'j1810197', 'which', 'until', 'very', 'recently', 'was', 'the', 'only', 'known', 'radioemitting', 'axp']] | [-0.1236959291250914, 0.11539760162472669, -0.025305042666544143, 0.1318488126354558, -0.195169649521043, -0.14068316894800478, 0.09262627107091248, 0.4785134344732851, -0.15386178609880066, -0.3565613020638606, 0.14688687866266564, -0.32007629187826653, -0.07118618457501096, 0.290645578830622, 0.036342298944613764, -0.007022308276728131, 0.08294572309009675, -0.10299013418502602, -0.0093239272727554, -0.19071696934647353, 0.184540062566827, 0.1015414017448692, 0.2272528822365728, -0.04464052374390675, 0.057370295896916126, -0.09836164006046054, -0.1260001586147941, -0.0769596125342344, -0.06238377096982239, -0.006699751505866311, 0.28124331034495864, 0.15241207823829545, 0.13069512304338746, -0.3869172524366724, -0.27003532562306837, 0.12021659115851066, 0.13657112158633614, -0.03911806139622332, -0.047420213937311245, -0.36895643092019664, 0.0772306450381805, -0.21739642280399016, -0.1639451074459471, 0.07517104429942101, 0.09466635042633441, 0.06872874050474677, -0.13419608529867197, 0.07718117406969904, -0.008213613384501323, 0.04869807046607025, -0.15484364346524043, -0.0652132122392269, 0.032603044545144906, 0.09059314093906153, 0.0889162140402985, 0.05261611927885394, 0.08935853736685183, -0.10690053655324798, -0.19575812127021022, 0.3178753050086193, -0.027160962497381338, 0.09313173029795849, 0.2720808828025496, -0.2848340540816237, -0.28793169737660457, 0.20357375760751784, 0.13316137677310666, 0.056425516101482664, -0.1860807967841401, -0.037251231820791736, -0.040066575911596305, 0.21145310750427215, 0.12480651268987615, 0.08578468511000108, 0.32797394648082273, 0.08477839718299701, -0.02426590305171851, 0.16067200309038512, -0.3144106036402229, 0.026722824985259457, -0.18653247065323972, -0.0053180950130090904, -0.14716235477533332, 0.11940136258367841, -0.03254981305322407, -0.11237317013783604, 0.41462795086261023, 0.04959217150156435, 0.11290317394987757, 0.05345571757892945, 0.2727632370875462, 0.10330415692852628, 0.08892327782004736, 0.17588062475162342, 0.37251476180403587, 0.13238162081688643, 0.19425541875687868, -0.1821716958079207, 0.0916164235108623, -0.046833535050623175] |
710.2629 | On cross-ratio distortion and Schwarz derivative | We prove asymptotic estimates for the cross-ratio distortion with respect to
a smooth or holomorphic function in terms of its Schwarz derivative.
| math.DS math.GM | we prove asymptotic estimates for the crossratio distortion with respect to a smooth or holomorphic function in terms of its schwarz derivative | [['we', 'prove', 'asymptotic', 'estimates', 'for', 'the', 'crossratio', 'distortion', 'with', 'respect', 'to', 'a', 'smooth', 'or', 'holomorphic', 'function', 'in', 'terms', 'of', 'its', 'schwarz', 'derivative']] | [-0.17392872853881933, -0.08001152993264524, -0.10041477837578648, 0.07805610024793581, -0.0952539358457381, -0.05242765136063099, 0.01435255885801532, 0.3366287723183632, -0.3119371341202747, -0.17760606803560883, 0.1426364817518995, -0.2794498172165318, -0.17748361619570377, 0.1716381057313728, -0.17751101696525107, 0.08732981465238315, -0.020230800421400505, 0.11113528145307844, -0.22088118011809207, -0.23164217673580756, 0.3700633802535859, -0.0325508680279282, 0.15902135132769632, 0.07648033456114883, 0.1341326292604208, -0.014906005404720252, -0.029929273888807405, -0.061087222092530945, -0.20037645448676564, 0.13643290517343717, 0.21573328006673942, -0.0015970715427432549, 0.25699453868649225, -0.35795066810467024, -0.173717864704403, 0.19731965072622354, 0.11138950686224482, -0.02740129070695151, -0.0074555827198888765, -0.28763636269352655, 0.12118928418071433, -0.0983572971414436, -0.2576718299903653, -0.10683525730432435, -0.032367155802520836, 0.11106719305230812, -0.3480907639657909, 0.09460251913829283, 0.09122295245866884, 0.0691505082544278, -0.12057019499744373, -0.09397050839933482, -0.061932165726003324, 0.02826326119247824, 0.1111318872902881, 0.15430575700222768, 0.04500967767936262, -0.10127551117065278, -0.05398507365448908, 0.31436566094105894, -0.17255428128621794, -0.3644484770907597, 0.11117516894062812, -0.21601423434913158, -0.1068980880504982, 0.08922938022930214, 0.1443728900260546, 0.16485801881009882, -0.07260632413354787, 0.16512438383969394, 0.054580975154584106, 0.07015223530205814, 0.16564187403260308, 0.05095141211693937, 0.0837603724476966, 0.018781799696047197, 0.20596254676241765, 0.2281048089604486, -0.03720930540426211, -0.06128146330063993, -0.3970674892718142, -0.20213228874755176, -0.17052210308611393, 0.07715057327666065, -0.22775965905748308, -0.25878498889505863, 0.41762778857214883, -0.029054198795082895, 0.20083975927396255, 0.21832022854042324, 0.2506340176121078, 0.181688158180226, 0.04586251116019081, 0.03921908955089748, 0.1822808921252462, 0.17168688093608414, -0.029502035965296356, -0.18266894533933903, 0.06253083285198292, 0.19432957017455588] |
710.263 | Span-program-based quantum algorithm for evaluating formulas | We give a quantum algorithm for evaluating formulas over an extended gate
set, including all two- and three-bit binary gates (e.g., NAND, 3-majority).
The algorithm is optimal on read-once formulas for which each gate's inputs are
balanced in a certain sense.
The main new tool is a correspondence between a classical linear-algebraic
model of computation, "span programs," and weighted bipartite graphs. A span
program's evaluation corresponds to an eigenvalue-zero eigenvector of the
associated graph. A quantum computer can therefore evaluate the span program by
applying spectral estimation to the graph.
For example, the classical complexity of evaluating the balanced ternary
majority formula is unknown, and the natural generalization of randomized
alpha-beta pruning is known to be suboptimal. In contrast, our algorithm
generalizes the optimal quantum AND-OR formula evaluation algorithm and is
optimal for evaluating the balanced ternary majority formula.
| quant-ph | we give a quantum algorithm for evaluating formulas over an extended gate set including all two and threebit binary gates eg nand 3majority the algorithm is optimal on readonce formulas for which each gates inputs are balanced in a certain sense the main new tool is a correspondence between a classical linearalgebraic model of computation span programs and weighted bipartite graphs a span programs evaluation corresponds to an eigenvaluezero eigenvector of the associated graph a quantum computer can therefore evaluate the span program by applying spectral estimation to the graph for example the classical complexity of evaluating the balanced ternary majority formula is unknown and the natural generalization of randomized alphabeta pruning is known to be suboptimal in contrast our algorithm generalizes the optimal quantum andor formula evaluation algorithm and is optimal for evaluating the balanced ternary majority formula | [['we', 'give', 'a', 'quantum', 'algorithm', 'for', 'evaluating', 'formulas', 'over', 'an', 'extended', 'gate', 'set', 'including', 'all', 'two', 'and', 'threebit', 'binary', 'gates', 'eg', 'nand', '3majority', 'the', 'algorithm', 'is', 'optimal', 'on', 'readonce', 'formulas', 'for', 'which', 'each', 'gates', 'inputs', 'are', 'balanced', 'in', 'a', 'certain', 'sense', 'the', 'main', 'new', 'tool', 'is', 'a', 'correspondence', 'between', 'a', 'classical', 'linearalgebraic', 'model', 'of', 'computation', 'span', 'programs', 'and', 'weighted', 'bipartite', 'graphs', 'a', 'span', 'programs', 'evaluation', 'corresponds', 'to', 'an', 'eigenvaluezero', 'eigenvector', 'of', 'the', 'associated', 'graph', 'a', 'quantum', 'computer', 'can', 'therefore', 'evaluate', 'the', 'span', 'program', 'by', 'applying', 'spectral', 'estimation', 'to', 'the', 'graph', 'for', 'example', 'the', 'classical', 'complexity', 'of', 'evaluating', 'the', 'balanced', 'ternary', 'majority', 'formula', 'is', 'unknown', 'and', 'the', 'natural', 'generalization', 'of', 'randomized', 'alphabeta', 'pruning', 'is', 'known', 'to', 'be', 'suboptimal', 'in', 'contrast', 'our', 'algorithm', 'generalizes', 'the', 'optimal', 'quantum', 'andor', 'formula', 'evaluation', 'algorithm', 'and', 'is', 'optimal', 'for', 'evaluating', 'the', 'balanced', 'ternary', 'majority', 'formula']] | [-0.1270721014454097, 0.057385250293536694, -0.054846396797971014, 0.10695316873666277, -0.07994244704225464, -0.20027586718535292, 0.10273433378323966, 0.3740598238410725, -0.2532676420599708, -0.32039620264845, 0.09490642041993747, -0.21998458463581366, -0.20204655820692796, 0.2884829171066024, -0.1005178476684639, 0.1188842597471523, 0.08123067234123153, 0.031234350453630304, -0.09598165943516769, -0.28479881511378585, 0.2518279638775773, 0.015554969803855309, 0.23204070095802098, 0.010519163656061974, 0.11281538680465757, 0.04680512863062862, -0.028284062648300027, 0.012415083668505153, -0.09690733213463555, 0.11580790097460798, 0.2995625200100999, 0.21030640597387718, 0.26769965190602385, -0.344760115120047, -0.11356934665810263, 0.1577528128712573, 0.09961779967177764, 0.1393490547828454, 0.014886149983900343, -0.21716552471111028, 0.11470093498802811, -0.17067240423563382, -0.021619316602152758, -0.08794461472965506, 0.02346028766149412, 0.007135105641572264, -0.303262653477166, -0.010477614470933011, 0.09854284531868779, 0.0406250376934464, -0.02964569066070776, -0.13676405963285462, 0.060328470374309065, 0.11674554196719512, -0.0990343033563872, 0.052161722416370314, 0.10758940383548969, -0.10086448838974583, -0.22351656767684777, 0.3352509037038122, -0.005607961504922613, -0.19288271260144108, 0.11107356389697669, -0.0319727083585441, -0.13317476692474514, 0.1185080322396496, 0.1498904083720476, 0.15336673742706847, -0.1208668558763853, 0.11291338791362131, -0.07524947978664136, 0.14750173522507015, 0.09449235695090306, 0.03030518530463071, 0.13757612749569767, 0.1362356271162845, 0.10597720300859731, 0.24029498262435495, 0.0049681782606901415, -0.15669716711399023, -0.29462400976352504, -0.19769259148017518, -0.22814414901338329, 0.018169302258815995, -0.15706948080206412, -0.2245109837124313, 0.391961305928619, 0.10804677781551078, 0.1499301090742043, 0.14639209155617552, 0.29247245273849776, 0.14242344066524706, 0.06988992536629456, 0.10854345825846658, 0.11272993858606703, 0.16289869600238846, 0.013532917311354338, -0.21391176657356403, 0.13133325202700993, 0.13616751282698597] |
710.2631 | An In-Class Discussion Activity on the Nature of Science and Intelligent
Design | In this paper I describe an in-class discussion activity aimed at helping
elementary education majors in a physical science course think about issues
surrounding the inclusion of "Intelligent Design" in public school science
standards. I discuss the background instruction given, the content of the
activity and some results from its use in class.
| physics.ed-ph | in this paper i describe an inclass discussion activity aimed at helping elementary education majors in a physical science course think about issues surrounding the inclusion of intelligent design in public school science standards i discuss the background instruction given the content of the activity and some results from its use in class | [['in', 'this', 'paper', 'i', 'describe', 'an', 'inclass', 'discussion', 'activity', 'aimed', 'at', 'helping', 'elementary', 'education', 'majors', 'in', 'a', 'physical', 'science', 'course', 'think', 'about', 'issues', 'surrounding', 'the', 'inclusion', 'of', 'intelligent', 'design', 'in', 'public', 'school', 'science', 'standards', 'i', 'discuss', 'the', 'background', 'instruction', 'given', 'the', 'content', 'of', 'the', 'activity', 'and', 'some', 'results', 'from', 'its', 'use', 'in', 'class']] | [-0.050528788060512184, 0.10599907593310696, -0.06449523734209954, 0.08295198996278967, -0.15458692659465773, -0.11141773735014897, 0.053176939718091405, 0.35020429191162, -0.23607778738973276, -0.3747740970959641, 0.10053356930191787, -0.2691548101006533, -0.17854925027262103, 0.16845139999926653, -0.1650781135584386, -0.07692586142187587, 0.0537134699242295, 0.06187232432640948, -0.019546152057372174, -0.2979035347981273, 0.3123054025026987, 0.11604712179528093, 0.2813965278668856, 0.054905025393895385, 0.02068878337740898, 0.015965427904618235, -0.15939855112536055, -0.07319288894386944, -0.13233213100301208, 0.16005850323247459, 0.42840469987043794, 0.2794442756347499, 0.422788939825347, -0.43980528962499693, -0.1341193401483151, -0.016845713246543454, 0.05242182525261393, 0.06881984952345209, -0.10684943640218028, -0.28074186181052113, -0.03091331627571358, -0.1946661517129473, -0.1681406282169639, 0.012568471325069384, 0.01689001339716169, 0.008170783976620098, -0.12285042596313189, -0.0616123981879286, 0.06783731394218949, 0.2292869887051155, -0.05747792274550587, -0.15745148591626928, 0.034031027708343174, 0.20393183820371358, 0.036330883900793094, 0.020104812906246702, 0.15739645052674878, -0.2453332538408983, -0.14723808250723863, 0.4238694449359516, 0.03530617499337444, -0.0980672953334057, 0.209386992224334, -0.12394682774847408, -0.2163990152173869, 0.027679068484466593, 0.26695202449160926, 0.035345200212004615, -0.1760774955531266, 0.06747133258339193, 0.061760342135181966, 0.1787643774219279, 0.029315635254430882, 0.008353334535264744, 0.2779666371643543, 0.20005567747010095, -0.003787048582760793, 0.08062393810898769, 0.009039127988354215, -0.0704253827977293, -0.3642336708792257, -0.1832296694584964, -0.06685641809928951, 0.05544506565158097, 0.004050753211420258, -0.05354444900492452, 0.41949073365836775, 0.22264050235444643, 0.06513150162414981, -0.03166263267608746, 0.2630826476082768, -0.02385128923814814, -0.007061969901804092, 0.07653416549119185, 0.17613056763613438, 0.05079746212950855, 0.2432777717498676, -0.15842328576880665, 0.06417642781546093, 0.0027548956304771018] |
710.2632 | On the Whitham Equations for the Defocusing Complex Modified KdV
Equation | We study the Whitham equations for the defocusing complex modified KdV (mKdV)
equation. These Whitham equations are quasilinear hyperbolic equations and they
describe the averaged dynamics of the rapid oscillations which appear in the
solution of the mKdV equation when the dispersive parameter is small. The
oscillations are referred to as dispersive shocks. The Whitham equations for
the mKdV equation are neither strictly hyperbolic nor genuinely nonlinear. We
are interested in the solutions of the Whitham equations when the initial
values are given by a step function. We also compare the results with those of
the defocusing nonlinear Schrodinger (NLS) equation. For the NLS equation, the
Whitham equations are strictly hyperbolic and genuinely nonlinear. We show that
the weak hyperbolicity of the mKdV-Whitham equations is responsible for an
additional structure in the dispersive shocks which has not been found in the
NLS case.
| nlin.SI math-ph math.MP | we study the whitham equations for the defocusing complex modified kdv mkdv equation these whitham equations are quasilinear hyperbolic equations and they describe the averaged dynamics of the rapid oscillations which appear in the solution of the mkdv equation when the dispersive parameter is small the oscillations are referred to as dispersive shocks the whitham equations for the mkdv equation are neither strictly hyperbolic nor genuinely nonlinear we are interested in the solutions of the whitham equations when the initial values are given by a step function we also compare the results with those of the defocusing nonlinear schrodinger nls equation for the nls equation the whitham equations are strictly hyperbolic and genuinely nonlinear we show that the weak hyperbolicity of the mkdvwhitham equations is responsible for an additional structure in the dispersive shocks which has not been found in the nls case | [['we', 'study', 'the', 'whitham', 'equations', 'for', 'the', 'defocusing', 'complex', 'modified', 'kdv', 'mkdv', 'equation', 'these', 'whitham', 'equations', 'are', 'quasilinear', 'hyperbolic', 'equations', 'and', 'they', 'describe', 'the', 'averaged', 'dynamics', 'of', 'the', 'rapid', 'oscillations', 'which', 'appear', 'in', 'the', 'solution', 'of', 'the', 'mkdv', 'equation', 'when', 'the', 'dispersive', 'parameter', 'is', 'small', 'the', 'oscillations', 'are', 'referred', 'to', 'as', 'dispersive', 'shocks', 'the', 'whitham', 'equations', 'for', 'the', 'mkdv', 'equation', 'are', 'neither', 'strictly', 'hyperbolic', 'nor', 'genuinely', 'nonlinear', 'we', 'are', 'interested', 'in', 'the', 'solutions', 'of', 'the', 'whitham', 'equations', 'when', 'the', 'initial', 'values', 'are', 'given', 'by', 'a', 'step', 'function', 'we', 'also', 'compare', 'the', 'results', 'with', 'those', 'of', 'the', 'defocusing', 'nonlinear', 'schrodinger', 'nls', 'equation', 'for', 'the', 'nls', 'equation', 'the', 'whitham', 'equations', 'are', 'strictly', 'hyperbolic', 'and', 'genuinely', 'nonlinear', 'we', 'show', 'that', 'the', 'weak', 'hyperbolicity', 'of', 'the', 'mkdvwhitham', 'equations', 'is', 'responsible', 'for', 'an', 'additional', 'structure', 'in', 'the', 'dispersive', 'shocks', 'which', 'has', 'not', 'been', 'found', 'in', 'the', 'nls', 'case']] | [-0.19990931251938915, 0.10261371124523092, -0.054540316254543274, 0.1366203110009222, -0.13415836936361353, -0.15094940326648804, -0.12440037502067715, 0.25752780092617783, -0.3061409051936697, -0.182928769055649, 0.126296790575766, -0.32215989074131973, -0.20127284327935113, 0.20881064738553595, 0.014368340392715074, 0.12138769845078572, 0.06573595953974086, -0.0054335301302530815, -0.07217549480756902, -0.23941599565695867, 0.3903079142426731, -0.07284831985647619, 0.215224634623155, -0.0072211732458270774, 0.12584592851901977, -0.061361673966863414, 0.02005874573476088, -0.035256021923359325, -0.17128985720850784, 0.0026634854566253406, 0.23526929610107147, 0.005937446677781851, 0.25751635495206, -0.45917878425876857, -0.27882037326221315, 0.06266486516851984, 0.1849155126510083, 0.1747981934844267, -0.010418545408830257, -0.349554918947446, 0.023859631827652033, -0.06314846257102007, -0.2513543663490695, -0.04733717248735713, 0.02024798605486121, 0.1579691981552431, -0.22680715152962644, 0.18924984866962277, 0.09897762523229484, -0.06048654628143659, -0.1768695763181108, -0.014721495970840973, -0.10492943198761155, -0.015155905153861426, 0.029790556830563912, -0.0573114865429988, -0.040829332656896034, -0.15873673933879537, -0.019095305733802453, 0.4431698644979739, -0.09364238161016518, -0.3335624919535304, 0.1217560275969371, -0.1489040370748549, -0.09083481626519539, 0.17411475665998502, 0.16275481226801558, 0.12777765060145355, -0.1445408974047406, 0.13081859157692877, -0.05788942687967661, 0.17014160452567986, 0.10827978328362264, -0.019242971640368794, 0.06697479493811097, 0.13365808476588992, 0.0697403101129195, 0.06151041557395857, 0.009862359255735934, -0.16489794068235222, -0.3217765545131455, -0.10612580360857848, -0.06819694166393085, 0.08734199821967041, -0.1210620083260386, -0.19446091458175174, 0.3929513635992689, 0.1062679516408153, 0.09293234508983056, 0.04493382318817656, 0.22190795285942058, 0.2950765569813215, 0.018615714576042875, 0.10700181775896901, 0.2864611696740481, 0.1771634865476763, 0.19504418539565424, -0.25886022394464, -0.00670032389830916, 0.17449129858172277] |
710.2633 | X-ray Emission from Magnetically Torqued Disks of Oe/Be Stars | We focus attention on the Oe/Be stars to test the concept that the disks of
these stars form by magnetic channeling of wind material toward the equator.
Calculations are made of the X-rays expected from the Magnetically Torqued Disk
(MTD) model for Be stars discussed by Cassinelli et al. (2002), by Maheswaran
(2003), and by Brown et al. (2004). The dominant parameters in the model are
the $\beta$ value of the velocity law, the rotation rate of the star, $S_o$,
and the ratio of the magnetic field energy density to the disk gravitational
energy density, $\gamma$.
The model predictions are compared with the $ROSAT$ observations obtained for
an O9.5 star $\zeta$ Oph from \Berghofer et al. (1996) and for 7 Be stars from
Cohen et al. (1997). Extra considerations are also given here to the well
studied Oe star $\zeta$ Oph for which we have $Chandra$ observations of the
X-ray line profiles of the triad of He-like lines from the ion Mg XI.
| astro-ph | we focus attention on the oebe stars to test the concept that the disks of these stars form by magnetic channeling of wind material toward the equator calculations are made of the xrays expected from the magnetically torqued disk mtd model for be stars discussed by cassinelli et al 2002 by maheswaran 2003 and by brown et al 2004 the dominant parameters in the model are the beta value of the velocity law the rotation rate of the star s_o and the ratio of the magnetic field energy density to the disk gravitational energy density gamma the model predictions are compared with the rosat observations obtained for an o95 star zeta oph from berghofer et al 1996 and for 7 be stars from cohen et al 1997 extra considerations are also given here to the well studied oe star zeta oph for which we have chandra observations of the xray line profiles of the triad of helike lines from the ion mg xi | [['we', 'focus', 'attention', 'on', 'the', 'oebe', 'stars', 'to', 'test', 'the', 'concept', 'that', 'the', 'disks', 'of', 'these', 'stars', 'form', 'by', 'magnetic', 'channeling', 'of', 'wind', 'material', 'toward', 'the', 'equator', 'calculations', 'are', 'made', 'of', 'the', 'xrays', 'expected', 'from', 'the', 'magnetically', 'torqued', 'disk', 'mtd', 'model', 'for', 'be', 'stars', 'discussed', 'by', 'cassinelli', 'et', 'al', '2002', 'by', 'maheswaran', '2003', 'and', 'by', 'brown', 'et', 'al', '2004', 'the', 'dominant', 'parameters', 'in', 'the', 'model', 'are', 'the', 'beta', 'value', 'of', 'the', 'velocity', 'law', 'the', 'rotation', 'rate', 'of', 'the', 'star', 's_o', 'and', 'the', 'ratio', 'of', 'the', 'magnetic', 'field', 'energy', 'density', 'to', 'the', 'disk', 'gravitational', 'energy', 'density', 'gamma', 'the', 'model', 'predictions', 'are', 'compared', 'with', 'the', 'rosat', 'observations', 'obtained', 'for', 'an', 'o95', 'star', 'zeta', 'oph', 'from', 'berghofer', 'et', 'al', '1996', 'and', 'for', '7', 'be', 'stars', 'from', 'cohen', 'et', 'al', '1997', 'extra', 'considerations', 'are', 'also', 'given', 'here', 'to', 'the', 'well', 'studied', 'oe', 'star', 'zeta', 'oph', 'for', 'which', 'we', 'have', 'chandra', 'observations', 'of', 'the', 'xray', 'line', 'profiles', 'of', 'the', 'triad', 'of', 'helike', 'lines', 'from', 'the', 'ion', 'mg', 'xi']] | [-0.04227134128741454, 0.13375967633846814, -0.031183001288445665, 0.033767295911093245, -0.09401799496845342, -0.05130187948816456, 0.06778649754996877, 0.3754665452754125, -0.17792124805419007, -0.3839721871598158, 0.015538483653654112, -0.28726824710320215, -0.06229249685420655, 0.20595142301754094, -0.0470259131223429, 0.02287320488176192, 0.05943495418614475, -0.06694269792060367, 0.0016824095670017413, -0.2755344854966097, 0.3024365454999497, 0.14912691886420362, 0.14742956032860094, -0.03399773583660135, -0.0045856697997805895, -0.06709700938954484, -0.06658325692405924, -0.0017714643046929269, -0.20869700357893634, 0.031795036746189, 0.17038577715866268, 0.11589921854611021, 0.17845136711839588, -0.3579279617406428, -0.2429710608033929, 0.003431768371956423, 0.09069699011160992, 0.021511840837047203, -0.016675579599541378, -0.29904939021216703, 0.05985435194743331, -0.19360750183841446, -0.15238962006405926, 0.033856084918807025, 0.1016739896593208, 0.07681705605355091, -0.2866698758036364, 0.11734218615874852, 0.061923742597718955, 0.08379157298363679, -0.12626078664907253, -0.15177059805137105, -0.07893974722683197, 0.01976954650308471, 0.05759425735523109, 0.09685058637696783, 0.13118892307102215, -0.11610455143672879, -0.06971704617026261, 0.3464739652816206, -0.06059889613825362, -0.02617366472259164, 0.17928255536826326, -0.166286830980971, -0.16583120701834558, 0.14613210950628855, 0.11840486626315397, 0.1541110289205335, -0.12300712829455733, 0.09070843980734936, -0.06847408996618469, 0.1434811190554001, 0.09860636452795006, -0.01970322955021402, 0.28658300896931904, 0.03865032737830916, -0.044039903462544314, 0.08699959848572689, -0.2338552830115077, -0.06255597619601758, -0.21760838466580026, -0.13254256038708262, -0.15792321319677285, 0.04730318682995858, -0.09043697610295567, -0.09938111315132118, 0.33251662246329944, 0.08411505566036795, 0.22578884235117586, -0.01380000459976145, 0.2542939893552102, 0.13490334751622868, 0.028909561361069792, 0.1560241465922445, 0.33574855606420895, 0.232251327810809, 0.1532810847653309, -0.24343938151432667, 0.061308148546959276, 0.06230824365484296] |
710.2634 | The piston dispersive shock wave problem | The one-dimensional piston shock problem is a classical result of shock wave
theory. In this work, the analogous dispersive shock wave (DSW) problem for a
dispersive fluid described by the nonlinear Schr\"odinger equation is analyzed.
Asymptotic solutions are calculated using Whitham averaging theory for a
"piston" (step potential) moving with uniform speed into a dispersive fluid at
rest. These asymptotic results agree quantitatively with numerical simulations.
It is shown that the behavior of these solutions is quite different from their
classical counterparts. In particular, the shock structure depends on the speed
of the piston. These results have direct application to Bose-Einstein
condensates and the propagation of light through a nonlinear, defocusing
medium.
| nlin.PS | the onedimensional piston shock problem is a classical result of shock wave theory in this work the analogous dispersive shock wave dsw problem for a dispersive fluid described by the nonlinear schrodinger equation is analyzed asymptotic solutions are calculated using whitham averaging theory for a piston step potential moving with uniform speed into a dispersive fluid at rest these asymptotic results agree quantitatively with numerical simulations it is shown that the behavior of these solutions is quite different from their classical counterparts in particular the shock structure depends on the speed of the piston these results have direct application to boseeinstein condensates and the propagation of light through a nonlinear defocusing medium | [['the', 'onedimensional', 'piston', 'shock', 'problem', 'is', 'a', 'classical', 'result', 'of', 'shock', 'wave', 'theory', 'in', 'this', 'work', 'the', 'analogous', 'dispersive', 'shock', 'wave', 'dsw', 'problem', 'for', 'a', 'dispersive', 'fluid', 'described', 'by', 'the', 'nonlinear', 'schrodinger', 'equation', 'is', 'analyzed', 'asymptotic', 'solutions', 'are', 'calculated', 'using', 'whitham', 'averaging', 'theory', 'for', 'a', 'piston', 'step', 'potential', 'moving', 'with', 'uniform', 'speed', 'into', 'a', 'dispersive', 'fluid', 'at', 'rest', 'these', 'asymptotic', 'results', 'agree', 'quantitatively', 'with', 'numerical', 'simulations', 'it', 'is', 'shown', 'that', 'the', 'behavior', 'of', 'these', 'solutions', 'is', 'quite', 'different', 'from', 'their', 'classical', 'counterparts', 'in', 'particular', 'the', 'shock', 'structure', 'depends', 'on', 'the', 'speed', 'of', 'the', 'piston', 'these', 'results', 'have', 'direct', 'application', 'to', 'boseeinstein', 'condensates', 'and', 'the', 'propagation', 'of', 'light', 'through', 'a', 'nonlinear', 'defocusing', 'medium']] | [-0.12831403625127027, 0.11779347758108218, -0.12092593929888348, 0.05823520152210092, -0.10009053357810314, -0.12452173181892638, -0.02908992310118005, 0.37112205139627413, -0.2689426449318749, -0.21525397973476043, 0.09046218370245437, -0.29016599574658486, -0.12866446445488172, 0.2350236934019319, 0.04069470737262496, 0.12132826064563622, 0.08154114528692194, 0.009058565525005438, -0.033682079971185885, -0.18149612336544255, 0.31727473260668504, 0.0249203757266514, 0.26757407432887703, 0.03801564372926285, 0.10140045921850417, -0.025367876743465394, 0.007482038528126266, 0.028484534397388676, -0.14559441853355434, 0.036687050860824195, 0.1954875520459609, 0.015920273248671686, 0.2455524062825134, -0.49010720413311254, -0.31821007299835663, -0.0033580050845297854, 0.18088467728687516, 0.16250862812324027, -0.051331175596195475, -0.32760522349937155, 0.010654472804162651, -0.13728101626371167, -0.23170294959813223, 0.0009079521571818207, 0.006135073598540787, 0.10620558575984822, -0.2158276094440745, 0.15222110951435752, 0.05420744552143982, -0.01910374770938818, -0.10457353747499708, -0.019335648173832203, 3.296028756137405e-05, 0.032653944488889204, 0.07720055522284903, 0.01906994532743868, 0.09311650008229273, -0.15861808931887417, -0.05163768715907021, 0.42719040398619007, -0.09457469553620156, -0.23226175655976736, 0.2017723593827603, -0.13512408976254978, 0.00041215137961054485, 0.17836353867979987, 0.1535605316208343, 0.09697678817402837, -0.12942153428334027, 0.05886008599145498, -0.07017447082632446, 0.12087365683250287, 0.14241450262904568, -0.013889199318197955, 0.1608349121129972, 0.18184137924150232, 0.01809291480250457, 0.1355858356234551, -0.0367377456007359, -0.12826215544399538, -0.3244157791112749, -0.12094495444658346, -0.16594188136514276, 0.031169380889488302, -0.1332356933007759, -0.1735052908196459, 0.3738691201267232, 0.1331013013872767, 0.10962009177975622, 0.038829274483889877, 0.2995526632626674, 0.2105022078363358, -0.057176569911202284, 0.08980822692267663, 0.31836749609958914, 0.19135808252238867, 0.1698141360227185, -0.2500015406964979, -0.01134544488741085, 0.11843947579161197] |
710.2635 | The CO Molecular Outflows of IRAS 16293-2422 Probed by the Submillimeter
Array | We have mapped the proto-binary source IRAS 16293-2422 in CO 2-1, 13CO 2-1,
and CO 3-2 with the Submillimeter Array (SMA). The maps with resolution of
1".5-5" reveal a single small scale (~3000 AU) bipolar molecular outflow along
the east-west direction. We found that the blueshifted emission of this small
scale outflow mainly extends to the east and the redshifted emission to the
west from the position of IRAS 16293A. A comparison with the morphology of the
large scale outflows previously observed by single-dish telescopes at
millimeter wavelengths suggests that the small scale outflow may be the inner
part of the large scale (~15000 AU) E-W outflow. On the other hand, there is no
clear counterpart of the large scale NE-SW outflow in our SMA maps. Comparing
analytical models to the data suggests that the morphology and kinematics of
the small scale outflow can be explained by a wide-angle wind with an
inclination angle of ~30-40 degrees with respect to the plane of the sky. The
high resolution CO maps show that there are two compact, bright spots in the
blueshifted velocity range. An LVG analysis shows that the one located 1" to
the east of source A is extremely dense, n(H_2)~10^7 cm^-3, and warm, T_kin >55
K. The other one located 1" southeast of source B has a higher temperature of
T_kin >65 K but slightly lower density of n(H_2)~10^6 cm^-3. It is likely that
these bright spots are associated with the hot core-like emission observed
toward IRAS 16293. Since both two bright spots are blueshifted from the
systemic velocity and are offset from the protostellar positions, they are
likely formed by shocks.
| astro-ph | we have mapped the protobinary source iras 162932422 in co 21 13co 21 and co 32 with the submillimeter array sma the maps with resolution of 155 reveal a single small scale 3000 au bipolar molecular outflow along the eastwest direction we found that the blueshifted emission of this small scale outflow mainly extends to the east and the redshifted emission to the west from the position of iras 16293a a comparison with the morphology of the large scale outflows previously observed by singledish telescopes at millimeter wavelengths suggests that the small scale outflow may be the inner part of the large scale 15000 au ew outflow on the other hand there is no clear counterpart of the large scale nesw outflow in our sma maps comparing analytical models to the data suggests that the morphology and kinematics of the small scale outflow can be explained by a wideangle wind with an inclination angle of 3040 degrees with respect to the plane of the sky the high resolution co maps show that there are two compact bright spots in the blueshifted velocity range an lvg analysis shows that the one located 1 to the east of source a is extremely dense nh_2107 cm3 and warm t_kin 55 k the other one located 1 southeast of source b has a higher temperature of t_kin 65 k but slightly lower density of nh_2106 cm3 it is likely that these bright spots are associated with the hot corelike emission observed toward iras 16293 since both two bright spots are blueshifted from the systemic velocity and are offset from the protostellar positions they are likely formed by shocks | [['we', 'have', 'mapped', 'the', 'protobinary', 'source', 'iras', '162932422', 'in', 'co', '21', '13co', '21', 'and', 'co', '32', 'with', 'the', 'submillimeter', 'array', 'sma', 'the', 'maps', 'with', 'resolution', 'of', '155', 'reveal', 'a', 'single', 'small', 'scale', '3000', 'au', 'bipolar', 'molecular', 'outflow', 'along', 'the', 'eastwest', 'direction', 'we', 'found', 'that', 'the', 'blueshifted', 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710.2636 | Low energy particle physics and cosmology of nonlinear supersymmetric
general relativity | We show a low energy physical meaning of nonlinear supersymmetric general
relativity (NLSUSY GR) in asymptotic Riemann-flat space-time by studying the
vacuum structure of N = 2 linear supersymmetry (LSUSY) invariant QED, which is
equivalent to N = 2 NLSUSY model, in two dimensional space-time. Two different
vacuum field configurations of SO(3,1) isometry describe the two different
physical vacua, i.e. one breaks spontaneously both U(1) and SUSY and the other
breaks spontaneously SUSY alone, where the latter elucidates the mysterious
relations between the cosmology and the (low energy) particle physics and gives
a new insight into the origin of mass.
| hep-th | we show a low energy physical meaning of nonlinear supersymmetric general relativity nlsusy gr in asymptotic riemannflat spacetime by studying the vacuum structure of n 2 linear supersymmetry lsusy invariant qed which is equivalent to n 2 nlsusy model in two dimensional spacetime two different vacuum field configurations of so31 isometry describe the two different physical vacua ie one breaks spontaneously both u1 and susy and the other breaks spontaneously susy alone where the latter elucidates the mysterious relations between the cosmology and the low energy particle physics and gives a new insight into the origin of mass | [['we', 'show', 'a', 'low', 'energy', 'physical', 'meaning', 'of', 'nonlinear', 'supersymmetric', 'general', 'relativity', 'nlsusy', 'gr', 'in', 'asymptotic', 'riemannflat', 'spacetime', 'by', 'studying', 'the', 'vacuum', 'structure', 'of', 'n', '2', 'linear', 'supersymmetry', 'lsusy', 'invariant', 'qed', 'which', 'is', 'equivalent', 'to', 'n', '2', 'nlsusy', 'model', 'in', 'two', 'dimensional', 'spacetime', 'two', 'different', 'vacuum', 'field', 'configurations', 'of', 'so31', 'isometry', 'describe', 'the', 'two', 'different', 'physical', 'vacua', 'ie', 'one', 'breaks', 'spontaneously', 'both', 'u1', 'and', 'susy', 'and', 'the', 'other', 'breaks', 'spontaneously', 'susy', 'alone', 'where', 'the', 'latter', 'elucidates', 'the', 'mysterious', 'relations', 'between', 'the', 'cosmology', 'and', 'the', 'low', 'energy', 'particle', 'physics', 'and', 'gives', 'a', 'new', 'insight', 'into', 'the', 'origin', 'of', 'mass']] | [-0.15709840671672504, 0.23711251059775146, -0.07941609846038401, 0.1837728857906174, -0.0860442359033706, -0.2201111297864391, -0.06750760769129407, 0.27776558046723354, -0.20342765011995725, -0.31489445136774485, 0.049885499961104016, -0.20338393241281108, -0.11089034187750016, 0.07151142233502766, -0.012648148955159574, 0.011945301125168192, -0.07997926183957227, 0.02106762837086405, -0.11792306016123265, -0.18527695269333389, 0.3379296317069354, -0.0055286815361480935, 0.29140135409234436, -0.0006434661431276069, 0.16147442483723315, -0.016290098309935053, 0.018275083071191092, -0.01827591165249255, -0.12254446128630364, 0.054876519528654764, 0.19255142581972237, 0.08910520674128618, 0.15778087079762576, -0.4507546064690972, -0.1884110614429323, 0.09822839885303865, 0.1409964532762462, 0.13230741502389273, -0.03933200530460751, -0.2833089983679962, 0.02993528821923751, -0.13111032102713172, -0.1516712280798095, -0.05037150390408173, -0.010822919386258463, -0.1578185902338247, -0.2236458257426346, 0.09725038330450807, 0.05511375174534564, 0.016933458068465093, -0.059826598079799086, -0.07508435973194333, -0.0816858528390983, 0.05585806878587725, 0.14665574169532414, -0.00411239002204063, 0.12087921686565542, -0.17572577733034803, -0.11203913159706459, 0.4568034044029761, -0.025923198987064616, -0.21458899196503417, 0.174830803880468, -0.1968133925271401, -0.18593351419169304, 0.12582855927282754, 0.09954875456739445, 0.08557864311816436, -0.12245504407518619, 0.2532818080811068, -0.012871285914728532, 0.15598721235838472, 0.09372744464068389, 0.08786370436843884, 0.26751256125922107, 0.12170912685794566, 0.015582818766029514, 0.09166985047964513, 0.023565579749814863, -0.14180820163491428, -0.42299861274659634, -0.1668078118593109, -0.10634208185721797, 0.13108420720780078, -0.18501190535607748, -0.10908186680884385, 0.4013098753152453, 0.08170141021861238, 0.17323729992673106, 0.026183364609950126, 0.22116384317395182, 0.06040502517313069, 0.0271734989210203, 0.04747127808098282, 0.28535521827752186, 0.12693883890727992, 0.062226038245598275, -0.25999021952572676, -0.1567058757717284, 0.13328223774798822] |
710.2637 | Relaxation dynamics in quantum electron-glasses | It is experimentally shown that, depending on the carrier-concentration of
the system $n$, the dynamics of electron-glasses either \textit{slows down
}with increasing temperature or it is \textit{independent} of it. This also
correlates with the dependence of a typical relaxation time (or `viscosity') on
$n$. These linked features are argued to be consistent with a model for
dissipative tunneling. The slow relaxation of the electron glass may emerge
then as a manifestation of friction in a many-body quantum system. Our
considerations may also explain why strongly-localized granular metals are
likely to show electron-glass effects while semiconductors are not.
| cond-mat.str-el cond-mat.dis-nn | it is experimentally shown that depending on the carrierconcentration of the system n the dynamics of electronglasses either textitslows down with increasing temperature or it is textitindependent of it this also correlates with the dependence of a typical relaxation time or viscosity on n these linked features are argued to be consistent with a model for dissipative tunneling the slow relaxation of the electron glass may emerge then as a manifestation of friction in a manybody quantum system our considerations may also explain why stronglylocalized granular metals are likely to show electronglass effects while semiconductors are not | [['it', 'is', 'experimentally', 'shown', 'that', 'depending', 'on', 'the', 'carrierconcentration', 'of', 'the', 'system', 'n', 'the', 'dynamics', 'of', 'electronglasses', 'either', 'textitslows', 'down', 'with', 'increasing', 'temperature', 'or', 'it', 'is', 'textitindependent', 'of', 'it', 'this', 'also', 'correlates', 'with', 'the', 'dependence', 'of', 'a', 'typical', 'relaxation', 'time', 'or', 'viscosity', 'on', 'n', 'these', 'linked', 'features', 'are', 'argued', 'to', 'be', 'consistent', 'with', 'a', 'model', 'for', 'dissipative', 'tunneling', 'the', 'slow', 'relaxation', 'of', 'the', 'electron', 'glass', 'may', 'emerge', 'then', 'as', 'a', 'manifestation', 'of', 'friction', 'in', 'a', 'manybody', 'quantum', 'system', 'our', 'considerations', 'may', 'also', 'explain', 'why', 'stronglylocalized', 'granular', 'metals', 'are', 'likely', 'to', 'show', 'electronglass', 'effects', 'while', 'semiconductors', 'are', 'not']] | [-0.1172639398901083, 0.23707162317199013, -0.12324868736322969, 0.06546215953737071, -0.027658214976933475, -0.17588334069781317, 0.005288621709041763, 0.3560017001970361, -0.26918422147476423, -0.28494667854586925, 0.0855252030196425, -0.30756787992625806, -0.1622474328178214, 0.19845174334053203, -0.007708421859812613, 0.014383313309129639, -0.0028906488623761106, 0.024622701976719934, -0.058535598481588146, -0.22326679533580318, 0.27664228312399547, 0.041649937235585334, 0.25783159067699063, 0.10490743929888897, 0.05746293536018735, -0.06942514423280954, 0.06600470499445994, 0.06847992451609268, -0.09246058723063773, 0.001517437518486986, 0.21558499562282427, -0.006635002355324104, 0.22946529364465582, -0.43863708558880415, -0.24650088948449897, 0.040386557433521375, 0.16128022682096343, 0.1288386682208511, -0.019776012845492612, -0.23700336534238886, 0.043552115816661775, -0.13446636572674228, -0.12427251745126948, -0.09358691935388681, 0.05440449155624568, 0.024518598316717544, -0.2407550788241982, 0.11370417455752128, 0.09350386987110444, 0.022725159282951306, -0.06434689347224776, -0.06811412223760271, -0.04929643969565708, 0.037441649057048686, 0.08299045156430414, 0.018393492898515735, 0.18363309094759947, -0.10838897967914818, -0.08466003393308104, 0.4083378863870166, -0.03578015877792495, -0.16740041833448535, 0.2540129737947912, -0.17684703791170855, -0.0887575582334345, 0.13848097480998453, 0.12122486430356123, 0.09806219138893842, -0.12446848222559008, 0.023266391188371927, -0.0323546833533328, 0.19740381256754821, 0.006443006554036401, 0.07838654976755303, 0.2511094104847871, 0.21041481690675332, 0.021975244802888483, 0.096806496205924, -0.047712028676566355, -0.09121460203217187, -0.2568293789518066, -0.14578895874607647, -0.22040566230134573, 0.10171859647637878, -0.05129890641061744, -0.17075248330456816, 0.33187105824860436, 0.15452684690293003, 0.22634619858581573, 0.021376105830616627, 0.23652006546520474, 0.1398571012202107, 0.09646696908748709, 0.04573306410869312, 0.25978681196769077, 0.11486815111129545, 0.09152172270357066, -0.30469157042777323, 0.13706450619307967, -0.01656677821786919] |
710.2638 | Coexistence of magnetism and superconductivity in a t-J bilayer | We investigate coexistence of antiferromagnetic and superconducting
correlations in bilayered materials using a two-dimensional t-J model with
couplings across the layers using variational Monte Carlo calculations. It is
found that the underdoped regime supports a coexisting phase, beyond which the
(d-wave) superconducting state becomes stable. Further, the effects of
interplanar coupling parameters on the magnetic and superconducting
correlations as a function of hole doping are studied in details. The magnetic
correlations are found to diminish with increasing interplanar hopping away
from half filling, while the exchange across the layers strengthens interplanar
antiferromagnetic correlations both at and away from half filling. The
superconducting correlations show more interesting features where larger
interplanar hopping considerably reduces planar correlations at optimal doping,
while an opposite behaviour, i.e. stabilisation of the superconducting state is
realised in the overdoped regime, with the interplanar exchange all the while
playing a dormant role.
| cond-mat.supr-con cond-mat.str-el | we investigate coexistence of antiferromagnetic and superconducting correlations in bilayered materials using a twodimensional tj model with couplings across the layers using variational monte carlo calculations it is found that the underdoped regime supports a coexisting phase beyond which the dwave superconducting state becomes stable further the effects of interplanar coupling parameters on the magnetic and superconducting correlations as a function of hole doping are studied in details the magnetic correlations are found to diminish with increasing interplanar hopping away from half filling while the exchange across the layers strengthens interplanar antiferromagnetic correlations both at and away from half filling the superconducting correlations show more interesting features where larger interplanar hopping considerably reduces planar correlations at optimal doping while an opposite behaviour ie stabilisation of the superconducting state is realised in the overdoped regime with the interplanar exchange all the while playing a dormant role | [['we', 'investigate', 'coexistence', 'of', 'antiferromagnetic', 'and', 'superconducting', 'correlations', 'in', 'bilayered', 'materials', 'using', 'a', 'twodimensional', 'tj', 'model', 'with', 'couplings', 'across', 'the', 'layers', 'using', 'variational', 'monte', 'carlo', 'calculations', 'it', 'is', 'found', 'that', 'the', 'underdoped', 'regime', 'supports', 'a', 'coexisting', 'phase', 'beyond', 'which', 'the', 'dwave', 'superconducting', 'state', 'becomes', 'stable', 'further', 'the', 'effects', 'of', 'interplanar', 'coupling', 'parameters', 'on', 'the', 'magnetic', 'and', 'superconducting', 'correlations', 'as', 'a', 'function', 'of', 'hole', 'doping', 'are', 'studied', 'in', 'details', 'the', 'magnetic', 'correlations', 'are', 'found', 'to', 'diminish', 'with', 'increasing', 'interplanar', 'hopping', 'away', 'from', 'half', 'filling', 'while', 'the', 'exchange', 'across', 'the', 'layers', 'strengthens', 'interplanar', 'antiferromagnetic', 'correlations', 'both', 'at', 'and', 'away', 'from', 'half', 'filling', 'the', 'superconducting', 'correlations', 'show', 'more', 'interesting', 'features', 'where', 'larger', 'interplanar', 'hopping', 'considerably', 'reduces', 'planar', 'correlations', 'at', 'optimal', 'doping', 'while', 'an', 'opposite', 'behaviour', 'ie', 'stabilisation', 'of', 'the', 'superconducting', 'state', 'is', 'realised', 'in', 'the', 'overdoped', 'regime', 'with', 'the', 'interplanar', 'exchange', 'all', 'the', 'while', 'playing', 'a', 'dormant', 'role']] | [-0.20353150984738022, 0.2619811207354109, 0.018017855010412892, 0.07381565061654767, 0.003457655083259632, -0.19062479596448548, 0.10886256274735105, 0.36627943727091467, -0.2709177139086713, -0.27486025283819643, -0.012779849516388414, -0.38824490275362444, -0.07020842646216524, 0.15028663963914432, 0.12442179429746265, -0.04107342718233322, -0.03858023747352177, -0.04306219074361283, -0.17597198859338872, -0.21791508629404266, 0.3036353873377987, 0.028177025272703632, 0.32778806766045504, 0.07289037419290378, 0.01762075022441046, 0.04348734554931007, 0.14737230618966038, 0.037794765393281804, -0.14079879397583586, 0.00813790699467063, 0.2654061699237931, -0.14987760144125284, 0.23583256761896712, -0.4335753109691472, -0.22286912935689607, 0.02287297370554558, 0.20989604005911228, 0.14820610165740525, -0.022122214169036758, -0.2849166777884138, -0.0002898698303334672, -0.14977705984472714, -0.0887736032468042, -0.0725162982780101, -0.037656578678509287, -0.004937390803093751, -0.2661551119053158, 0.10631808498553161, 0.056307964855483894, 0.08415276102259041, -0.07269296329789635, -0.12358228794202722, -0.11273539605277494, 0.07759086756870665, 0.0694419721121386, 0.0894184881949733, 0.13320362486972892, -0.1457324845587899, -0.08109268934690747, 0.288171396722439, 0.007462570681397257, -0.10233573875036733, 0.14513590265515036, -0.2050186336104726, -0.06544499051082751, 0.16295165685487203, 0.07468443131716601, 0.046401199720928384, -0.08362941616375384, 0.09184228536102856, 0.020503118794796795, 0.2158150366186325, 0.0161197186222878, 0.11376899246865048, 0.23959608268763485, 0.22855897367899788, 0.06962863752168828, 0.18027355637529802, -0.11951332378747134, -0.15708959193514851, -0.21305421258740384, -0.10786192736684762, -0.193602266144168, 0.01814668338488916, -0.12390355896495749, -0.1916318739251563, 0.38355621185539096, 0.17940363709590046, 0.19872551090565735, -0.04814649080689033, 0.21377593523597924, 0.05414161919054158, 0.09024743688581832, 0.08817123629088545, 0.2992931015817609, 0.15045748674310744, 0.11294679920638687, -0.30063107306587283, 0.13553543156012893, -0.0055922874795465635] |
710.2639 | Heavy Quarkonium States with the Holographic Potential | The quarkonium states in a quark-gluon plasma is examined with the heavy
quark potential implied by the holographic principle. Both the vanila
AdS-Schwarzschild metric and the one with an infrared cutoff are considered.
The dissociation temperature is calculated by solving the Schr\"o dinger
equation of the potential model. In the case of the AdS-Schwarzschild metric
with a IR cutoff, the dissociation temperatures for $J/\psi$ and $\Upsilon$
with the U-ansatz of the potential are found to agree with the lattice results
within a factor of two.
| hep-ph hep-th | the quarkonium states in a quarkgluon plasma is examined with the heavy quark potential implied by the holographic principle both the vanila adsschwarzschild metric and the one with an infrared cutoff are considered the dissociation temperature is calculated by solving the schro dinger equation of the potential model in the case of the adsschwarzschild metric with a ir cutoff the dissociation temperatures for jpsi and upsilon with the uansatz of the potential are found to agree with the lattice results within a factor of two | [['the', 'quarkonium', 'states', 'in', 'a', 'quarkgluon', 'plasma', 'is', 'examined', 'with', 'the', 'heavy', 'quark', 'potential', 'implied', 'by', 'the', 'holographic', 'principle', 'both', 'the', 'vanila', 'adsschwarzschild', 'metric', 'and', 'the', 'one', 'with', 'an', 'infrared', 'cutoff', 'are', 'considered', 'the', 'dissociation', 'temperature', 'is', 'calculated', 'by', 'solving', 'the', 'schro', 'dinger', 'equation', 'of', 'the', 'potential', 'model', 'in', 'the', 'case', 'of', 'the', 'adsschwarzschild', 'metric', 'with', 'a', 'ir', 'cutoff', 'the', 'dissociation', 'temperatures', 'for', 'jpsi', 'and', 'upsilon', 'with', 'the', 'uansatz', 'of', 'the', 'potential', 'are', 'found', 'to', 'agree', 'with', 'the', 'lattice', 'results', 'within', 'a', 'factor', 'of', 'two']] | [-0.06746333321678408, 0.18232662861191784, -0.11622760346203688, 0.07447642419165709, 0.012808016700936216, -0.11411970690824091, 0.006498495116829872, 0.34457825819429544, -0.16786586792607391, -0.2366428582685157, 0.029794303109935884, -0.33422599194039193, -0.013821078641783623, 0.14181810438389048, 0.03421166574393976, 0.085929002950988, 0.013777630181894415, 0.0781853228905848, -0.06314215355762696, -0.20890813150132695, 0.37478942779957186, 0.05380255743927721, 0.22311946845036887, 0.1695641920107716, 0.045608750566662776, -0.01029862170772893, 0.013746786374776136, 0.027649793507797376, -0.12640000244521485, 0.07588351573559478, 0.19923301562985649, 0.02722085240973337, 0.17493873035640545, -0.349523148166814, -0.2561907946947031, 0.051701039663471636, 0.07939545091219424, 0.10953340402227782, -0.056886016563068895, -0.26009756665665745, 0.04512434079688752, -0.16833470576620174, -0.17510362400762028, -0.047003689366171046, -0.00838678001725514, -0.003502503458765291, -0.2916174312621089, 0.0918582377600528, -0.03861202725342342, -0.001647132676139119, -0.11327641153530706, -0.1479032290323327, -0.07109060612995, 0.03883013635363784, 0.10353394414137472, 0.11312604501533012, 0.12849425857088395, -0.1783706475537093, -0.11645064025651664, 0.432363029414167, -0.10416552011433634, -0.16018938627981005, 0.16545788576782106, -0.16842488116872983, -0.06505703795257778, 0.12168927062191956, 0.08192360379533577, 0.12892342935360612, -0.17411620677670553, 0.11820391637489333, 0.0011265987330781563, 0.12192052350811926, 0.09141359479621142, 0.06483266497075203, 0.20173194929070415, 0.17228215946081382, -0.03661273661557408, 0.1346901158741232, -0.06869171309240517, -0.10889201069117657, -0.3499822615468431, -0.1089046196513144, -0.14748496643178874, 0.03873439099905746, -0.15430138915343422, -0.1466508805973544, 0.3639488203473212, 0.06409669944107355, 0.22552082834313514, 0.020328092807349527, 0.26043478009246646, 0.1831021636081416, 0.046968240213269986, 0.11263926499079735, 0.2983881139551245, 0.16310248159736926, 0.1279183980520992, -0.3151262662944473, -0.02409856139482664, 0.09864916167931542] |
710.264 | Time-dependent AdS/CFT Duality II: Holographic Reconstruction of Bulk
Metric and Possible Resolution of Singularity | We continue the studies of our earlier proposal for an AdS/CFT correspondence
for time-dependent supergravity backgrounds. We note that by performing a
suitable change of variables, the dual super Yang-Mills theory lives on a flat
base space, and the time-dependence of the supergravity background is entirely
encoded in the time-dependent couplings (gauge and axionic) and their
supersymmetric completion. This form of the SYM allows a detailed perturbative
analysis to be performed. In particular the one-loop Wilsonian effective action
of the boundary SYM theory is computed. By using the holographic UV/IR
relation, we propose a way to extract the bulk metric from the Wilsonian
effective action; and we find that the bulk metric of our supergravity
solutions can be reproduced precisely. While the bulk geometry can have various
singularities such as geodesic incompleteness, gauge theory quantum effects can
introduce higher derivative corrections in the effective action which can serve
as a way to resolve the singularities.
| hep-th | we continue the studies of our earlier proposal for an adscft correspondence for timedependent supergravity backgrounds we note that by performing a suitable change of variables the dual super yangmills theory lives on a flat base space and the timedependence of the supergravity background is entirely encoded in the timedependent couplings gauge and axionic and their supersymmetric completion this form of the sym allows a detailed perturbative analysis to be performed in particular the oneloop wilsonian effective action of the boundary sym theory is computed by using the holographic uvir relation we propose a way to extract the bulk metric from the wilsonian effective action and we find that the bulk metric of our supergravity solutions can be reproduced precisely while the bulk geometry can have various singularities such as geodesic incompleteness gauge theory quantum effects can introduce higher derivative corrections in the effective action which can serve as a way to resolve the singularities | [['we', 'continue', 'the', 'studies', 'of', 'our', 'earlier', 'proposal', 'for', 'an', 'adscft', 'correspondence', 'for', 'timedependent', 'supergravity', 'backgrounds', 'we', 'note', 'that', 'by', 'performing', 'a', 'suitable', 'change', 'of', 'variables', 'the', 'dual', 'super', 'yangmills', 'theory', 'lives', 'on', 'a', 'flat', 'base', 'space', 'and', 'the', 'timedependence', 'of', 'the', 'supergravity', 'background', 'is', 'entirely', 'encoded', 'in', 'the', 'timedependent', 'couplings', 'gauge', 'and', 'axionic', 'and', 'their', 'supersymmetric', 'completion', 'this', 'form', 'of', 'the', 'sym', 'allows', 'a', 'detailed', 'perturbative', 'analysis', 'to', 'be', 'performed', 'in', 'particular', 'the', 'oneloop', 'wilsonian', 'effective', 'action', 'of', 'the', 'boundary', 'sym', 'theory', 'is', 'computed', 'by', 'using', 'the', 'holographic', 'uvir', 'relation', 'we', 'propose', 'a', 'way', 'to', 'extract', 'the', 'bulk', 'metric', 'from', 'the', 'wilsonian', 'effective', 'action', 'and', 'we', 'find', 'that', 'the', 'bulk', 'metric', 'of', 'our', 'supergravity', 'solutions', 'can', 'be', 'reproduced', 'precisely', 'while', 'the', 'bulk', 'geometry', 'can', 'have', 'various', 'singularities', 'such', 'as', 'geodesic', 'incompleteness', 'gauge', 'theory', 'quantum', 'effects', 'can', 'introduce', 'higher', 'derivative', 'corrections', 'in', 'the', 'effective', 'action', 'which', 'can', 'serve', 'as', 'a', 'way', 'to', 'resolve', 'the', 'singularities']] | [-0.10956157359384722, 0.1369923802641889, -0.14448327942405859, 0.12504013072353817, -0.11148815257775206, -0.1072695843004171, 0.012455504768407873, 0.33203239548170277, -0.18955169412037057, -0.27296640259108595, 0.07733947425825341, -0.27379633757415334, -0.20564298281416057, 0.11084396616826134, -0.07881614996360675, 0.052098618751211516, 0.011345857758856107, 0.05337070446281183, -0.13978123870347778, -0.23589209458610463, 0.34564715670271506, 0.04238596008715009, 0.26272661634871075, 0.06504611523461439, 0.09054156232985758, 0.005250285342035275, -0.03204711613455607, 0.05971401380356251, -0.10571103073973885, 0.1433773105753766, 0.25784506642019317, 0.08059546995847937, 0.14504764351633287, -0.45398181575921276, -0.2739047130750072, 0.059419071385937355, 0.1718160611622396, 0.16579756688762215, -0.0028523625017354086, -0.27649964882631695, 0.05067413793876767, -0.18687578354992213, -0.15631844288999996, -0.12487880929613546, -0.0276139160618186, -0.136041919995595, -0.24366078023167867, 0.06139349153344219, -0.01609240270430042, 0.01328233767285823, -0.04762277458381328, -0.002763784170571354, -0.0510675708996132, 0.12153707478616026, 0.10948315998539329, 0.09191333847420831, 0.15030615968749889, -0.1693317145544795, -0.12040477775397801, 0.3826612912839459, -0.12475351917166863, -0.22905281070890204, 0.14850680482904277, -0.12464771428776364, -0.1394249248708929, 0.057884121746904, 0.10905806655665079, 0.20397414925673435, -0.16116791498817262, 0.21872441061291722, -0.01574078814742426, 0.1051973064475122, 0.0765795684269359, 0.051650706774765444, 0.24210148125947004, 0.10065047040266255, 0.017472131685879563, 0.1273100606060677, -0.0062719722458672135, -0.08125178085099305, -0.4330264047749581, -0.13494957302727045, -0.11037057571436068, 0.122885853906102, -0.16682418733196813, -0.16399047313137882, 0.3723556972634528, 0.1382101398502146, 0.1776518721283684, 0.0619255454377121, 0.22904752937536085, 0.13993411562255315, 0.08584269278893067, 0.036832880799568465, 0.2742245170377916, 0.12736379621670613, 0.06868876459888153, -0.2744672730820434, -0.09420651290715942, 0.18032656677908473] |
710.2641 | Deformations of Border Bases | Here we study the problem of generalizing one of the main tools of Groebner
basis theory, namely the flat deformation to the leading term ideal, to the
border basis setting. After showing that the straightforward approach based on
the deformation to the degree form ideal works only under additional
hypotheses, we introduce border basis schemes and universal border basis
families. With their help the problem can be rephrased as the search for a
certain rational curve on a border basis scheme. We construct the system of
generators of the vanishing ideal of the border basis scheme in different ways
and study the question of how to minimalize it. For homogeneous ideals, we also
introduce a homogeneous border basis scheme and prove that it is an affine
space in certain cases. In these cases it is then easy to write down the
desired deformations explicitly.
| math.AC math.AG | here we study the problem of generalizing one of the main tools of groebner basis theory namely the flat deformation to the leading term ideal to the border basis setting after showing that the straightforward approach based on the deformation to the degree form ideal works only under additional hypotheses we introduce border basis schemes and universal border basis families with their help the problem can be rephrased as the search for a certain rational curve on a border basis scheme we construct the system of generators of the vanishing ideal of the border basis scheme in different ways and study the question of how to minimalize it for homogeneous ideals we also introduce a homogeneous border basis scheme and prove that it is an affine space in certain cases in these cases it is then easy to write down the desired deformations explicitly | [['here', 'we', 'study', 'the', 'problem', 'of', 'generalizing', 'one', 'of', 'the', 'main', 'tools', 'of', 'groebner', 'basis', 'theory', 'namely', 'the', 'flat', 'deformation', 'to', 'the', 'leading', 'term', 'ideal', 'to', 'the', 'border', 'basis', 'setting', 'after', 'showing', 'that', 'the', 'straightforward', 'approach', 'based', 'on', 'the', 'deformation', 'to', 'the', 'degree', 'form', 'ideal', 'works', 'only', 'under', 'additional', 'hypotheses', 'we', 'introduce', 'border', 'basis', 'schemes', 'and', 'universal', 'border', 'basis', 'families', 'with', 'their', 'help', 'the', 'problem', 'can', 'be', 'rephrased', 'as', 'the', 'search', 'for', 'a', 'certain', 'rational', 'curve', 'on', 'a', 'border', 'basis', 'scheme', 'we', 'construct', 'the', 'system', 'of', 'generators', 'of', 'the', 'vanishing', 'ideal', 'of', 'the', 'border', 'basis', 'scheme', 'in', 'different', 'ways', 'and', 'study', 'the', 'question', 'of', 'how', 'to', 'minimalize', 'it', 'for', 'homogeneous', 'ideals', 'we', 'also', 'introduce', 'a', 'homogeneous', 'border', 'basis', 'scheme', 'and', 'prove', 'that', 'it', 'is', 'an', 'affine', 'space', 'in', 'certain', 'cases', 'in', 'these', 'cases', 'it', 'is', 'then', 'easy', 'to', 'write', 'down', 'the', 'desired', 'deformations', 'explicitly']] | [-0.12837850767142184, 0.04798268244068148, -0.0991589783404309, 0.06344799419142097, -0.07596532993956462, -0.12295998025594371, 0.06175155948987556, 0.3443898416793469, -0.3314233397856563, -0.2082726942738388, 0.15047161373671247, -0.18573365686786966, -0.19107703608623544, 0.19557438344512318, -0.053522287734452036, 0.03798487255271602, 0.02345323599907537, 0.04438349954178231, -0.08944364335596353, -0.2877588439960736, 0.3987258462450252, 0.05548921643293925, 0.3098978211523613, 0.015282462378296271, 0.1088303586735123, -0.0014106731051196494, -0.0035609014173953344, 0.01045482299756971, -0.14855386847615898, 0.15639457877943538, 0.25830272892555156, 0.13647069436354706, 0.24768448340986576, -0.41872833038751894, -0.12757506493114298, 0.12668804822724078, 0.11659940257929005, 0.11946201483699513, 0.015710857905239076, -0.1952496681173521, 0.09377352079910624, -0.20082441667492512, -0.21073516177247975, -0.11789480051663997, 0.023522195236926727, 0.00321052176552219, -0.2656561404904611, 0.009002724181904646, 0.0913294410574009, 0.07218345463067502, -0.05483737607141371, -0.07652534262384646, 0.0002719439676852076, 0.1041793104821256, 4.44056199199253e-05, 0.016334105100665058, 0.07305719284340739, -0.10583372778174552, -0.10225923335663258, 0.39264907350542244, -0.024983816877027023, -0.25514920606518854, 0.1763458244691414, -0.12258549975361545, -0.10491436247720376, 0.07291094937941411, 0.13238197892507003, 0.12691179394577076, -0.08927502515041953, 0.11282526947748424, -0.08862344695294237, 0.10408440650557982, 0.07152514419537949, 0.019840280800142773, 0.15040682720906146, 0.1084236112098418, 0.08949621610336944, 0.158127005719189, -0.024944101961759422, -0.07482357997238845, -0.35627665842225503, -0.20668882265087815, -0.13430772298438984, 0.031236650226833102, -0.07887725535443564, -0.18472391111659003, 0.40932715718634527, 0.13864266937207823, 0.19304420834837052, 0.015596784472178955, 0.2636898088210321, 0.10274794745223167, 0.056926939354792656, 0.06251298389527817, 0.191657010698691, 0.12082018374654276, -0.003977244928270787, -0.1619164542314577, 0.03341472796547077, 0.15963011020729384] |
710.2642 | Comment on: Stochastic local operations and classical communication
Invariant and the residual entanglement for n qubits | In a recent paper [Phys. Rev. A 76, 032304(2007)], Li et al. proposed the
definition of the residual entanglement for n qubits by means of the Stochastic
local operations and classical communication. Here we argue that their
definition is not suitable for the case of odd-n qubits.
| quant-ph | in a recent paper phys rev a 76 0323042007 li et al proposed the definition of the residual entanglement for n qubits by means of the stochastic local operations and classical communication here we argue that their definition is not suitable for the case of oddn qubits | [['in', 'a', 'recent', 'paper', 'phys', 'rev', 'a', '76', '0323042007', 'li', 'et', 'al', 'proposed', 'the', 'definition', 'of', 'the', 'residual', 'entanglement', 'for', 'n', 'qubits', 'by', 'means', 'of', 'the', 'stochastic', 'local', 'operations', 'and', 'classical', 'communication', 'here', 'we', 'argue', 'that', 'their', 'definition', 'is', 'not', 'suitable', 'for', 'the', 'case', 'of', 'oddn', 'qubits']] | [-0.12550495748987683, 0.13526350929928216, -0.0007490050452558891, -0.07086275953991825, -0.003948447942409826, -0.1124654961142527, 0.12397534417686984, 0.2959700085263213, -0.17311161155205057, -0.3345658232093505, -0.03671395601502255, -0.2258583924571133, -0.21869093799740885, 0.18640943345330332, -0.162741499396203, 0.06864133428620256, 0.014116630489614023, -0.0425701192377702, -0.08952382759130358, -0.3350102968675935, 0.2452122782883437, 0.11083097711367451, 0.2914962947834283, 0.0278745675864427, 0.06443863356000055, 0.05486377355966555, -0.04775246959584563, 0.015965191991594824, -0.15478785650829313, 0.11605787317713966, 0.2033693447364899, 0.14716815151800605, 0.2787927863714488, -0.4403086051587825, -0.23230768851530942, 0.12635042180266717, 0.07562839227624785, 0.1814615991897881, -0.005137433039793826, -0.31828903936801234, 0.06276731547879298, -0.22788504196290413, -0.0992892565023478, -0.10613903006457764, 0.15347260406807714, 0.0051691541347004795, -0.29172487776605005, 0.12090800309037465, 0.13374973673616414, 0.07278872782911133, 0.043937423347455005, -0.029804630873157927, 0.011922594281318396, -0.01604428565453576, -0.09477350895758718, 0.03891735467629548, 0.09566804135987617, -0.031214093748965988, -0.15652580600758287, 0.3055874398585571, -0.007579614914467801, -0.16760206406267927, 0.21068098203724492, -0.048446712327068264, -0.17045646873505219, 0.0025247816279854464, 0.07918757157724189, 0.18105623028848483, -0.17849647551370057, 0.1659792579454876, -0.08715052196108129, 0.12838541570564974, 0.07965130695020375, 0.10677701859411014, 0.09901784688396298, 0.08394400961697102, 0.038453255901518074, 0.08706175825437126, -0.0800351806278543, -0.12840250589626678, -0.31355103755207814, -0.2478026422550497, -0.26094484632915776, 0.09415415450253616, 0.014016370266567126, -0.07824664983554216, 0.3772054534486454, 0.12428008245542119, 0.21748881827553976, 0.018723489372464625, 0.2531002592295408, 0.08735084702240546, -0.0006337484051270977, 0.17446043227961205, 0.25332171376794577, 0.19179946642227308, 0.0999019335469474, -0.23656778789692276, 0.029415447844455586, 0.08937078453195484] |
710.2643 | Solutions of Adler's lattice equation associated with 2-cycles of the
Backlund transformation | The BT of Adler's lattice equation is inherent in the equation itself by
virtue of its multidimensional consistency. We refer to a solution of the
equation that is related to itself by the composition of two BTs (with
different Backlund parameters) as a 2-cycle of the BT. In this article we will
show that such solutions are associated with a commuting one-parameter family
of rank-2 (i.e., 2-variable), 2-valued mappings. We will construct the explicit
solution of the mappings within this family and hence give the solutions of
Adler's equation that are 2-cycles of the BT.
| nlin.SI | the bt of adlers lattice equation is inherent in the equation itself by virtue of its multidimensional consistency we refer to a solution of the equation that is related to itself by the composition of two bts with different backlund parameters as a 2cycle of the bt in this article we will show that such solutions are associated with a commuting oneparameter family of rank2 ie 2variable 2valued mappings we will construct the explicit solution of the mappings within this family and hence give the solutions of adlers equation that are 2cycles of the bt | [['the', 'bt', 'of', 'adlers', 'lattice', 'equation', 'is', 'inherent', 'in', 'the', 'equation', 'itself', 'by', 'virtue', 'of', 'its', 'multidimensional', 'consistency', 'we', 'refer', 'to', 'a', 'solution', 'of', 'the', 'equation', 'that', 'is', 'related', 'to', 'itself', 'by', 'the', 'composition', 'of', 'two', 'bts', 'with', 'different', 'backlund', 'parameters', 'as', 'a', '2cycle', 'of', 'the', 'bt', 'in', 'this', 'article', 'we', 'will', 'show', 'that', 'such', 'solutions', 'are', 'associated', 'with', 'a', 'commuting', 'oneparameter', 'family', 'of', 'rank2', 'ie', '2variable', '2valued', 'mappings', 'we', 'will', 'construct', 'the', 'explicit', 'solution', 'of', 'the', 'mappings', 'within', 'this', 'family', 'and', 'hence', 'give', 'the', 'solutions', 'of', 'adlers', 'equation', 'that', 'are', '2cycles', 'of', 'the', 'bt']] | [-0.17312211434503919, 0.07456007098877117, -0.07142139461234603, 0.02600425903342272, -0.0994889707941758, -0.11099990239660991, 0.018836450321893943, 0.3101122418320493, -0.32189791863294026, -0.22123679086369905, 0.13713699929465198, -0.30646577972036443, -0.18438619737954517, 0.1462022944402538, -0.07327543321237164, 0.03850941363611798, 0.024807716327670374, 0.06357043752152669, -0.13194801403258585, -0.20015065173961613, 0.4004151038825512, -0.05357589470222592, 0.2116125805327963, -0.0019003742889158036, 0.14562046029850056, -0.041453425081348735, -0.006784603004588893, 0.009789132140576839, -0.15661650453809048, 0.10786911490079211, 0.22066563533030842, 0.13821059885973994, 0.2256029599885407, -0.36034224092176087, -0.14893114976094743, 0.12352493022519508, 0.1505334741730047, 0.09315715347857852, -0.06874559731467773, -0.25287055721212376, 0.0932466003063478, -0.16719372648941844, -0.19046385991632153, -0.08273509957974678, 0.021168913280493334, 0.10583937178905073, -0.25591086244308636, 0.08073951491203747, 0.11239580956140631, -0.013133374513371994, -0.10556067204176399, -0.06638407940044999, -0.08233783457330184, 0.06542082105910307, 0.04138987294741367, 0.034300924311882176, 0.0071355516336074004, -0.10165488586644641, -0.09784554513661485, 0.3747620817310618, -0.05750816727645303, -0.28399749949182335, 0.14890124575283967, -0.09873163753654808, -0.15615841413014814, 0.08444255942380742, 0.11067520018642474, 0.1317735346377288, -0.18660417754987352, 0.14625917741673458, -0.08418291450331086, 0.1276294921377772, 0.08130962588138094, 0.014253830189179433, 0.1423959872636356, 0.10876112123461146, 0.07736960981825465, 0.18187455851339587, 0.04143157609628121, -0.10757014791628247, -0.36663294081625186, -0.20192264917453653, -0.10308024246049555, 0.09544272511511256, -0.11674419519549702, -0.18466288828732152, 0.4099450675672606, 0.11792718832332053, 0.19770270715418614, 0.07735282902752882, 0.1846583690494299, 0.16850314583065676, 0.06037947506472272, 0.024209065833374073, 0.19293779519043472, 0.1385879314063411, 0.07720667021839242, -0.19876193818881324, 0.008897475687492835, 0.16797634551399632] |
710.2644 | New physics effect on the top-Yukawa coupling at ILC | Measurement of the top-Yukawa coupling is important to understand the fermion
mass generation mechanism and dynamics of electroweak symmetry breaking. We
discuss the top quark anomalous couplings which can be described by higher
dimensional operators. We investigate the process $e^-e^+ \to W^-W^+\nu\bar\nu
\to t \bar t \nu\bar\nu$ to study the contribution of the anomalous top-Higgs
coupling to the cross section. The effect of the dimension-six top-Higgs
interaction on the cross section can be a few hundred percent greater than the
SM prediction. Such a large effect can be measured at the International Linear
Collider.
| hep-ph | measurement of the topyukawa coupling is important to understand the fermion mass generation mechanism and dynamics of electroweak symmetry breaking we discuss the top quark anomalous couplings which can be described by higher dimensional operators we investigate the process ee to wwnubarnu to t bar t nubarnu to study the contribution of the anomalous tophiggs coupling to the cross section the effect of the dimensionsix tophiggs interaction on the cross section can be a few hundred percent greater than the sm prediction such a large effect can be measured at the international linear collider | [['measurement', 'of', 'the', 'topyukawa', 'coupling', 'is', 'important', 'to', 'understand', 'the', 'fermion', 'mass', 'generation', 'mechanism', 'and', 'dynamics', 'of', 'electroweak', 'symmetry', 'breaking', 'we', 'discuss', 'the', 'top', 'quark', 'anomalous', 'couplings', 'which', 'can', 'be', 'described', 'by', 'higher', 'dimensional', 'operators', 'we', 'investigate', 'the', 'process', 'ee', 'to', 'wwnubarnu', 'to', 't', 'bar', 't', 'nubarnu', 'to', 'study', 'the', 'contribution', 'of', 'the', 'anomalous', 'tophiggs', 'coupling', 'to', 'the', 'cross', 'section', 'the', 'effect', 'of', 'the', 'dimensionsix', 'tophiggs', 'interaction', 'on', 'the', 'cross', 'section', 'can', 'be', 'a', 'few', 'hundred', 'percent', 'greater', 'than', 'the', 'sm', 'prediction', 'such', 'a', 'large', 'effect', 'can', 'be', 'measured', 'at', 'the', 'international', 'linear', 'collider']] | [-0.13338999091697637, 0.2418500442778872, -0.017094184812258488, 0.13548448611679, -0.09571755722775975, -0.131109972764808, 0.027568662989764445, 0.28234412737431064, -0.27580107204235527, -0.3100828589290701, 0.008542628488152898, -0.34131694087378117, -0.02564650610269558, 0.11423468338425762, 0.09888438185957331, 0.04703581479868742, 0.013596667187108148, 0.04283083070530205, -0.04451326178186523, -0.2604854435569817, 0.2957521182715252, 0.08537698780456858, 0.21413653874669664, 0.19568613328300016, 0.059803942238451334, -0.008143662815533017, -0.00606575974273265, -0.04968129613146346, -0.09642154504094393, 0.07392259084454347, 0.19727560137999395, -0.013685253804289204, 0.136117572645827, -0.3519506341707642, -0.11915148213575845, 0.14056410165804048, 0.1376149456357203, 0.11283227821476557, -0.001278313934572682, -0.31342424839855204, 0.08060540423618369, -0.24459920224723636, -0.11801044677975037, -0.06452132313842734, -0.01759460669571674, -0.1316540559318157, -0.3393401900726941, 0.06805964446155935, -0.014015334367912302, 0.02215525808353578, 0.035662811429750536, -0.14421358363082012, -0.07919657248903507, 0.03781002194129972, 0.12580441459431313, 0.02864820375207371, 0.21293273787527414, -0.16733456073650874, -0.1795660733415555, 0.41494782337097713, -0.16696484723226643, -0.1603486573984546, 0.15213779157768653, -0.24881057373638596, -0.10028755173236707, 0.10074912312050019, 0.30383925636609393, 0.07358387508679942, -0.190815991616898, 0.14226325323890646, 0.02146252744420562, 0.16481992506211804, 0.04892636195165656, 0.049886294996105536, 0.21297511258519314, 0.23918347708475327, 0.021914587411228367, 0.06906058528630804, -0.07170240232290359, -0.07383137937855497, -0.380851904951757, -0.1299613006738445, -0.04137569794090845, 0.09905009908271173, -0.07018748374880537, -0.07067111420122185, 0.3935304778598009, 0.16812188612605114, 0.26688532332979864, -0.03404318418989699, 0.2910281802772955, 0.16384033113154733, 0.1730539703091371, -0.00923990469469103, 0.35506841828746183, 0.15302992428112175, 0.07419341873197306, -0.2855421499128864, 0.06558659958142427, 0.08196144644171] |
710.2645 | Origins and breadth of the theory of higher homotopies | Higher homotopies are nowadays playing a prominent role in mathematics as
well as in certain branches of theoretical physics. We recall some of the
connections between the past and the present developments. Higher homotopies
were isolated within algebraic topology at least as far back as the 1940's.
Prompted by the failure of the Alexander-Whitney multiplication of cocycles to
be commutative, Steenrod developed certain operations which measure this
failure in a coherent manner. Dold and Lashof extended Milnor's classifying
space construction to associative H-spaces, and a careful examination of this
extension led Stasheff to the discovery of An-spaces and Ainfty-spaces as
notions which control the failure of associativity in a coherent way so that
the classifying space construction can still be pushed through. Algebraic
versions of higher homotopies have, as we all know, led Kontsevich eventually
to the proof of the formality conjecture. Homological perturbation theory
(HPT), in a simple form first isolated by Eilenberg and Mac Lane in the early
1950's, has nowadays become a standard tool to handle algebraic incarnations of
higher homotopies. A basic observation is that higher homotopy structures
behave much better relative to homotopy than strict structures, and HPT enables
one to exploit this observation in various concrete situations which, in
particular, leads to the effective calculation of various invariants which are
otherwise intractable. Higher homotopies abound but they are rarely recognized
explicitly and their significance is hardly understood; at times, their
appearance might at first glance even come as a surprise, for example in the
Kodaira-Spencer approach to deformations of complex manifolds or in the theory
of foliations.
| math.AT math.AG | higher homotopies are nowadays playing a prominent role in mathematics as well as in certain branches of theoretical physics we recall some of the connections between the past and the present developments higher homotopies were isolated within algebraic topology at least as far back as the 1940s prompted by the failure of the alexanderwhitney multiplication of cocycles to be commutative steenrod developed certain operations which measure this failure in a coherent manner dold and lashof extended milnors classifying space construction to associative hspaces and a careful examination of this extension led stasheff to the discovery of anspaces and ainftyspaces as notions which control the failure of associativity in a coherent way so that the classifying space construction can still be pushed through algebraic versions of higher homotopies have as we all know led kontsevich eventually to the proof of the formality conjecture homological perturbation theory hpt in a simple form first isolated by eilenberg and mac lane in the early 1950s has nowadays become a standard tool to handle algebraic incarnations of higher homotopies a basic observation is that higher homotopy structures behave much better relative to homotopy than strict structures and hpt enables one to exploit this observation in various concrete situations which in particular leads to the effective calculation of various invariants which are otherwise intractable higher homotopies abound but they are rarely recognized explicitly and their significance is hardly understood at times their appearance might at first glance even come as a surprise for example in the kodairaspencer approach to deformations of complex manifolds or in the theory of foliations | [['higher', 'homotopies', 'are', 'nowadays', 'playing', 'a', 'prominent', 'role', 'in', 'mathematics', 'as', 'well', 'as', 'in', 'certain', 'branches', 'of', 'theoretical', 'physics', 'we', 'recall', 'some', 'of', 'the', 'connections', 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710.2646 | Fast projectile stopping power of two-dimensional strongly correlated
electron liquids | We study the high-velocity-projectile limit of the polarizational
contribution to the in-plane stopping power in a strongly coupled
two-dimensional electron liquid. The dielectric formalism based on the method
of moments is employed. The frequency moments of the loss function are
calculated using the model Hamiltonian including the two-dimensional Coulomb
interaction potential proportional to the inverse power of k. We prove that the
leading term of the high-velocity asymptote, like in the random-phase
approximation, is not affected by correlations.
| cond-mat.str-el | we study the highvelocityprojectile limit of the polarizational contribution to the inplane stopping power in a strongly coupled twodimensional electron liquid the dielectric formalism based on the method of moments is employed the frequency moments of the loss function are calculated using the model hamiltonian including the twodimensional coulomb interaction potential proportional to the inverse power of k we prove that the leading term of the highvelocity asymptote like in the randomphase approximation is not affected by correlations | [['we', 'study', 'the', 'highvelocityprojectile', 'limit', 'of', 'the', 'polarizational', 'contribution', 'to', 'the', 'inplane', 'stopping', 'power', 'in', 'a', 'strongly', 'coupled', 'twodimensional', 'electron', 'liquid', 'the', 'dielectric', 'formalism', 'based', 'on', 'the', 'method', 'of', 'moments', 'is', 'employed', 'the', 'frequency', 'moments', 'of', 'the', 'loss', 'function', 'are', 'calculated', 'using', 'the', 'model', 'hamiltonian', 'including', 'the', 'twodimensional', 'coulomb', 'interaction', 'potential', 'proportional', 'to', 'the', 'inverse', 'power', 'of', 'k', 'we', 'prove', 'that', 'the', 'leading', 'term', 'of', 'the', 'highvelocity', 'asymptote', 'like', 'in', 'the', 'randomphase', 'approximation', 'is', 'not', 'affected', 'by', 'correlations']] | [-0.12277695167108209, 0.1181056263626783, -0.06860365510567443, 0.05470773259891415, -0.010015684503505562, -0.09060864788540579, 0.0030460252196757823, 0.33790738676227144, -0.2697739349557208, -0.24612394169497595, 0.007287438266438904, -0.3398489339107817, -0.12956139350358348, 0.1475422051886411, 0.06281005698195719, 0.04855425444782361, -0.03478957087333713, 0.026329569285735488, -0.0809605753672152, -0.1874829220370837, 0.3112297391809233, 0.07095214313307366, 0.29868215766384615, 0.11436807739173437, 0.07246580509493103, 0.03645782931647324, 0.023376430034056886, 0.04521290650712205, -0.11278763078139904, 0.08749141282849497, 0.16305095888447477, -0.02822890144458355, 0.23854999466762913, -0.4364826116081956, -0.1797297519401877, 0.06170298871523761, 0.11817270102789747, 0.0834614046813025, -0.015253580149638091, -0.2316890550511224, 0.011016131209378893, -0.18858177074557775, -0.17153441047828114, -0.08644230448483646, -0.027579539806231276, 0.0809157053337511, -0.2906178122858045, 0.13796921207285304, 0.07242670034167248, 0.003145966703048, -0.09262844199895279, -0.11622768860648978, 0.004982604548431836, 0.057157611038971254, 0.07204812239740624, 0.032835933461470845, 0.13858355071347256, -0.13164115921055972, -0.04784122539393894, 0.4058649798298811, -0.12545913983704884, -0.19135658152691729, 0.117848114304051, -0.1672242371147716, -0.038759417469044787, 0.15495248395320657, 0.17937480712115958, 0.14538901633894458, -0.1528277365935289, 0.11603631031118913, 0.007229985270117011, 0.15475321765202885, 0.018887943654720272, 0.025759630443455726, 0.18139501859421853, 0.14275563247471612, 0.031899685656966326, 0.16551807969687626, -0.13965166192320358, -0.12210221027399039, -0.2759609064812978, -0.09609138983716264, -0.24028546202250503, 0.04940195241054768, -0.07641633171830084, -0.17884700110351498, 0.41504244950740576, 0.14297788409975828, 0.15441858737318256, 0.012670479763250846, 0.2985302516343919, 0.20894123666977218, 0.07927416751838544, 0.05464038499268135, 0.2942237825822327, 0.1756837482514259, 0.060162606322533126, -0.3362032758168779, 0.04235157998907682, 0.10994727647101338] |
710.2647 | Search for GMSB NLSPs at LHC | NLSP - LSP decays could have dramatic influence on SUSY phenomenology at LHC.
NLSP could have significant lifetime and could be charged. In at least two
scenarios detectors must be used in a special way. They were not optimized for
detection of heavy (semi)stable charged particles and decaying in flight
(neutral or charged) NLSPs. During the last decade both ATLAS and CMS
collaboration have developed strategies which allow for effective search within
such scenarios.
| hep-ph | nlsp lsp decays could have dramatic influence on susy phenomenology at lhc nlsp could have significant lifetime and could be charged in at least two scenarios detectors must be used in a special way they were not optimized for detection of heavy semistable charged particles and decaying in flight neutral or charged nlsps during the last decade both atlas and cms collaboration have developed strategies which allow for effective search within such scenarios | [['nlsp', 'lsp', 'decays', 'could', 'have', 'dramatic', 'influence', 'on', 'susy', 'phenomenology', 'at', 'lhc', 'nlsp', 'could', 'have', 'significant', 'lifetime', 'and', 'could', 'be', 'charged', 'in', 'at', 'least', 'two', 'scenarios', 'detectors', 'must', 'be', 'used', 'in', 'a', 'special', 'way', 'they', 'were', 'not', 'optimized', 'for', 'detection', 'of', 'heavy', 'semistable', 'charged', 'particles', 'and', 'decaying', 'in', 'flight', 'neutral', 'or', 'charged', 'nlsps', 'during', 'the', 'last', 'decade', 'both', 'atlas', 'and', 'cms', 'collaboration', 'have', 'developed', 'strategies', 'which', 'allow', 'for', 'effective', 'search', 'within', 'such', 'scenarios']] | [-0.047456743332799776, 0.3186227278018447, -0.09105371049771162, 0.14085526624056574, -0.03965831391054065, -0.2796635219176644, -0.05595400248261883, 0.38953092843549303, -0.17702287519095491, -0.37408171239474863, 0.08597921252997005, -0.31914916964030937, 0.03648746527463504, 0.15995041984579947, -0.0029425823276428733, 0.11084108978305778, 0.15618902390778117, -0.015939863274282175, -0.0034349537215335934, -0.2679520358478217, 0.19975543690028869, 0.0875759860117958, 0.18417013965368476, 0.12425495216571918, -0.014229100758898747, -0.00570000123156056, -0.032496314974221056, -0.016942756378079113, -0.079005773510937, 0.0035972590047917137, 0.27258831101839676, 0.11835451498755241, 0.1831179677623592, -0.4380260315557865, -0.1716184196961814, 0.2958857492888219, 0.25403295265995474, 0.07458547449332649, -0.17424906759797149, -0.3383457810834867, 0.1156462533096464, -0.246569265101156, -0.0629310102954711, -0.04259595961935104, 0.03155993986619662, -0.09570422181732034, -0.2587608748294209, 0.052059999336600174, -0.1252679775488142, -0.023263934293238777, -0.02396530489284188, -0.17658507490326483, -0.04914077713269077, 0.0185526610919823, 0.14751308143445074, -0.044538334988006585, 0.2210643436211123, -0.15194364268434782, -0.20896512419240523, 0.34161183467670664, -0.09439524468863765, -0.16248617093525317, 0.24725318342616323, -0.1577357404406042, -0.18210654020028777, 0.18642536989151667, 0.3089089844222755, 0.12569815706308574, -0.18128896007084683, 0.11371845637738373, -0.0004739777427421857, 0.12822026187834673, 0.11442833530640051, 0.06702612695118336, 0.3514029588135699, 0.25688450248937494, 0.043914398953497205, 0.04213200082957796, -0.10687221447324814, -0.07034298169669019, -0.3350477072933357, -0.14929924993967153, -0.01307351310571579, 0.0011855571960140505, -0.015061564608963449, -0.013071737430785617, 0.40088637683489553, 0.1001178987885583, 0.20067481175766722, -0.041133366408757865, 0.2541726981321579, 0.01558118166835749, 0.13147958782692887, 0.01793592703554218, 0.39398199054476335, -0.001917950974853888, 0.15878335667825114, -0.11950208540138317, 0.08524865253943287, 0.030509342197073647] |
710.2648 | Hopf algebras and characters of classical groups | Schur functions provide an integral basis of the ring of symmetric functions.
It is shown that this ring has a natural Hopf algebra structure by identifying
the appropriate product, coproduct, unit, counit and antipode, and their
properties. Characters of covariant tensor irreducible representations of the
classical groups GL(n), O(n) and Sp(n) are then expressed in terms of Schur
functions, and the Hopf algebra is exploited in the determination of
group-subgroup branching rules and the decomposition of tensor products. The
analysis is carried out in terms of n-independent universal characters. The
corresponding rings, CharGL, CharO and CharSp, of universal characters each
have their own natural Hopf algebra structure. The appropriate product,
coproduct, unit, counit and antipode are identified in each case.
| math.RT math.RA | schur functions provide an integral basis of the ring of symmetric functions it is shown that this ring has a natural hopf algebra structure by identifying the appropriate product coproduct unit counit and antipode and their properties characters of covariant tensor irreducible representations of the classical groups gln on and spn are then expressed in terms of schur functions and the hopf algebra is exploited in the determination of groupsubgroup branching rules and the decomposition of tensor products the analysis is carried out in terms of nindependent universal characters the corresponding rings chargl charo and charsp of universal characters each have their own natural hopf algebra structure the appropriate product coproduct unit counit and antipode are identified in each case | [['schur', 'functions', 'provide', 'an', 'integral', 'basis', 'of', 'the', 'ring', 'of', 'symmetric', 'functions', 'it', 'is', 'shown', 'that', 'this', 'ring', 'has', 'a', 'natural', 'hopf', 'algebra', 'structure', 'by', 'identifying', 'the', 'appropriate', 'product', 'coproduct', 'unit', 'counit', 'and', 'antipode', 'and', 'their', 'properties', 'characters', 'of', 'covariant', 'tensor', 'irreducible', 'representations', 'of', 'the', 'classical', 'groups', 'gln', 'on', 'and', 'spn', 'are', 'then', 'expressed', 'in', 'terms', 'of', 'schur', 'functions', 'and', 'the', 'hopf', 'algebra', 'is', 'exploited', 'in', 'the', 'determination', 'of', 'groupsubgroup', 'branching', 'rules', 'and', 'the', 'decomposition', 'of', 'tensor', 'products', 'the', 'analysis', 'is', 'carried', 'out', 'in', 'terms', 'of', 'nindependent', 'universal', 'characters', 'the', 'corresponding', 'rings', 'chargl', 'charo', 'and', 'charsp', 'of', 'universal', 'characters', 'each', 'have', 'their', 'own', 'natural', 'hopf', 'algebra', 'structure', 'the', 'appropriate', 'product', 'coproduct', 'unit', 'counit', 'and', 'antipode', 'are', 'identified', 'in', 'each', 'case']] | [-0.19744242397166836, 0.04982542680326698, -0.07983210899381556, 0.045943569179035276, -0.1357880593675515, -0.09460643265380436, -0.027486015883330096, 0.36798613149131465, -0.3840854575491359, -0.12971163352426046, 0.13638566463437474, -0.20193657702487758, -0.18995971811346263, 0.14696901321856895, -0.04995383557855573, -0.02350833459208027, 0.06245855669865114, 0.1634414451434098, -0.1324668436920127, -0.23899297524864474, 0.3717892249234212, 0.04510332045392094, 0.2656610143235606, 0.004493276421458294, 0.1138056889295769, 0.0331812398826592, -0.08326782437009561, -0.06022742524062498, -0.11962209561767313, 0.1300253640048397, 0.2811794794268078, 0.0973201738192867, 0.16693746214374328, -0.38966938227606124, -0.021972414571791887, 0.14340180900091162, 0.17132933967165712, -0.03923105280527957, 0.03045888776337712, -0.2766827063209131, 0.06238075127252019, -0.2773268973399113, -0.08729489718794696, -0.13072548290857902, 0.09620180612621017, 0.008805949053862411, -0.2529243117200338, 0.016813653457559582, 0.08065516100480007, 0.12086862668745284, -0.10442869625508021, -0.1671694817626451, -0.0920239016533089, 0.14653325372606388, -0.04692247595725597, 0.017025725330966406, 0.17209007040573618, -0.13265649458337733, -0.16013492478264701, 0.36264503249723434, 0.011084494117297169, -0.27767491082732493, 0.1011885651317624, -0.21112782261772162, -0.15389233948583278, 0.07989297413593556, 0.03416675394878556, 0.12130610359848565, -0.07310640822765696, 0.19625132769380066, -0.15327556689994204, 0.018282641224865604, 0.1225404374094473, 0.05747874529284035, 0.17776496482328472, 0.03402105433086299, -0.0028107320371434158, 0.18454268160793516, 0.09345021330687799, -0.057548726327780984, -0.3449676674432479, -0.20704462898210582, -0.11222183368264292, 0.07534475012933119, -0.1534355974062913, -0.19665260186581077, 0.4431949613186029, 0.03357875170972214, 0.16914670050873531, 0.058615772754081294, 0.20424126388425998, 0.13402532197885278, 0.18611439747704017, 0.011716282508598689, 0.13217001187049934, 0.2892709317453938, -0.014724370721990291, -0.14099044177649367, -0.0019675210191923967, 0.22177400208739007] |
710.2649 | Geometry of Multiplicative Preprojective Algebra | Crawley-Boevey and Shaw recently introduced a certain multiplicative analogue
of the deformed preprojective algebra, which they called the multiplicative
preprojective algebra. In this paper we study the moduli space of (semi)stable
representations of such an algebra (the multiplicative quiver variety), which
in fact has many similarities to the quiver variety. We show that there exists
a complex analytic isomorphism between the nilpotent subvariety of the quiver
variety and that of the multiplicative quiver variety (which can be extended to
a symplectomorphism between these tubular neighborhoods). We also show that
when the quiver is star-shaped, the multiplicative quiver variety parametrizes
Simpson's (poly)stable filtered local systems on a punctured Riemann sphere
with prescribed filtration type, weight and associated graded local system
around each puncture.
| math.SG math.AG | crawleyboevey and shaw recently introduced a certain multiplicative analogue of the deformed preprojective algebra which they called the multiplicative preprojective algebra in this paper we study the moduli space of semistable representations of such an algebra the multiplicative quiver variety which in fact has many similarities to the quiver variety we show that there exists a complex analytic isomorphism between the nilpotent subvariety of the quiver variety and that of the multiplicative quiver variety which can be extended to a symplectomorphism between these tubular neighborhoods we also show that when the quiver is starshaped the multiplicative quiver variety parametrizes simpsons polystable filtered local systems on a punctured riemann sphere with prescribed filtration type weight and associated graded local system around each puncture | [['crawleyboevey', 'and', 'shaw', 'recently', 'introduced', 'a', 'certain', 'multiplicative', 'analogue', 'of', 'the', 'deformed', 'preprojective', 'algebra', 'which', 'they', 'called', 'the', 'multiplicative', 'preprojective', 'algebra', 'in', 'this', 'paper', 'we', 'study', 'the', 'moduli', 'space', 'of', 'semistable', 'representations', 'of', 'such', 'an', 'algebra', 'the', 'multiplicative', 'quiver', 'variety', 'which', 'in', 'fact', 'has', 'many', 'similarities', 'to', 'the', 'quiver', 'variety', 'we', 'show', 'that', 'there', 'exists', 'a', 'complex', 'analytic', 'isomorphism', 'between', 'the', 'nilpotent', 'subvariety', 'of', 'the', 'quiver', 'variety', 'and', 'that', 'of', 'the', 'multiplicative', 'quiver', 'variety', 'which', 'can', 'be', 'extended', 'to', 'a', 'symplectomorphism', 'between', 'these', 'tubular', 'neighborhoods', 'we', 'also', 'show', 'that', 'when', 'the', 'quiver', 'is', 'starshaped', 'the', 'multiplicative', 'quiver', 'variety', 'parametrizes', 'simpsons', 'polystable', 'filtered', 'local', 'systems', 'on', 'a', 'punctured', 'riemann', 'sphere', 'with', 'prescribed', 'filtration', 'type', 'weight', 'and', 'associated', 'graded', 'local', 'system', 'around', 'each', 'puncture']] | [-0.17664877491713057, 0.05901308837034224, -0.09902868703099303, 0.056041799855922336, -0.16063905791303174, -0.1519866997727239, -0.05817805498468186, 0.35087084654169004, -0.43770415015274383, -0.1731733781281767, 0.07914574442958063, -0.17425424557515098, -0.25562576857990904, 0.16397227507970127, -0.22484908270893894, -0.03912837690001995, 0.08225792477510442, 0.09451762366215469, -0.09058536053158069, -0.30764299385310684, 0.46331274763635194, -0.04875300686136575, 0.24261776938057336, -0.002785929410000805, 0.15078868016936495, 0.025182175528034798, 0.003011258376273708, 0.002977891350651664, -0.14546023446155978, 0.13849190798717873, 0.31926037311996713, 0.04503416531856676, 0.1833659397709168, -0.35557282206861945, -0.1324862958519857, 0.26184316034444044, 0.1639523194600889, 0.008174056499303303, -0.03014956272806453, -0.2636627869024018, 0.12510472083403196, -0.24205680209456287, -0.15968695839439503, -0.07344766445152584, 0.09932337615822183, 0.013853521595831166, -0.20063802462116984, -0.047339712706877334, 0.07137017991760226, 0.11478557822210561, -0.09654560252321792, -0.08432440794529641, -0.1304122678263754, 0.022770828715588547, -0.04201250627720881, 0.08544971890648308, 0.12419932377219323, -0.1196503608724194, -0.1374022649051469, 0.3191127296018063, -0.04035321811832426, -0.26491377855742687, 0.1653830780872892, -0.1676403760726823, -0.18139329267528337, 0.14638856054115734, 0.05707494018706264, 0.10997478965456124, 0.00279159489081558, 0.21096325998020846, -0.15573542270633836, 0.04336244731542242, 0.1277340346046525, -0.022525079329841633, 0.16520069622755296, 0.10817262004549447, 0.010758486936597887, 0.11134670888451616, 0.00776060016923126, -0.0846906260884993, -0.3559761773947565, -0.19357027276132835, -0.059527613266493334, 0.17044292094918792, -0.1859510722452036, -0.2186046195689772, 0.3971189629309429, 0.06381565368100696, 0.20466569136469395, 0.12626413323966115, 0.15871439617772234, 0.06343983586297416, 0.10192757316666548, 0.00890216389747306, 0.09972131271754987, 0.23418974102337342, -0.07578539873900839, -0.15535268208134126, -0.07472443374586635, 0.2358446361298566] |
710.265 | Memory Effects in the Standard Model for Glasses | The standard model of glasses is an ensemble of two-level systems interacting
with a thermal bath. The general origin of memory effects in this model is a
quasi-stationary but non-equilibrium state of a single two-level system, which
is realized due to a finite-rate cooling and very slow thermally activated
relaxation. We show that single particle memory effects, such as negativity of
the specific heat under reheating, vanish for a sufficiently disordered
ensemble. In contrast, a disordered ensemble displays a collective memory
effect [similar to that described by Kovacs for glassy polymers], where
non-equilibrium features of the ensemble are monitored via a macroscopic
observable. An experimental realization of the effect can be used to further
assess the consistency of the model.
| cond-mat.dis-nn | the standard model of glasses is an ensemble of twolevel systems interacting with a thermal bath the general origin of memory effects in this model is a quasistationary but nonequilibrium state of a single twolevel system which is realized due to a finiterate cooling and very slow thermally activated relaxation we show that single particle memory effects such as negativity of the specific heat under reheating vanish for a sufficiently disordered ensemble in contrast a disordered ensemble displays a collective memory effect similar to that described by kovacs for glassy polymers where nonequilibrium features of the ensemble are monitored via a macroscopic observable an experimental realization of the effect can be used to further assess the consistency of the model | [['the', 'standard', 'model', 'of', 'glasses', 'is', 'an', 'ensemble', 'of', 'twolevel', 'systems', 'interacting', 'with', 'a', 'thermal', 'bath', 'the', 'general', 'origin', 'of', 'memory', 'effects', 'in', 'this', 'model', 'is', 'a', 'quasistationary', 'but', 'nonequilibrium', 'state', 'of', 'a', 'single', 'twolevel', 'system', 'which', 'is', 'realized', 'due', 'to', 'a', 'finiterate', 'cooling', 'and', 'very', 'slow', 'thermally', 'activated', 'relaxation', 'we', 'show', 'that', 'single', 'particle', 'memory', 'effects', 'such', 'as', 'negativity', 'of', 'the', 'specific', 'heat', 'under', 'reheating', 'vanish', 'for', 'a', 'sufficiently', 'disordered', 'ensemble', 'in', 'contrast', 'a', 'disordered', 'ensemble', 'displays', 'a', 'collective', 'memory', 'effect', 'similar', 'to', 'that', 'described', 'by', 'kovacs', 'for', 'glassy', 'polymers', 'where', 'nonequilibrium', 'features', 'of', 'the', 'ensemble', 'are', 'monitored', 'via', 'a', 'macroscopic', 'observable', 'an', 'experimental', 'realization', 'of', 'the', 'effect', 'can', 'be', 'used', 'to', 'further', 'assess', 'the', 'consistency', 'of', 'the', 'model']] | [-0.11522099803939151, 0.25052265223954845, -0.11930822209881929, 0.048659556648150706, 0.005474349930106352, -0.18950060557884474, 0.04121369641313019, 0.34037136550371844, -0.2783323069297088, -0.2445878035699328, 0.06067781165669051, -0.2608411478654792, -0.11664672182717671, 0.1572921013799108, -0.016290856645597766, 0.04641092685439314, 0.04566305235493928, 0.047995566070312634, -0.019113007579774906, -0.1944957304687705, 0.25159761831940464, 0.08425785835133866, 0.2914088347616295, 0.01779103132575983, 0.09652132962364704, -0.015307767279834177, 0.10345444279858687, 0.05539270062387611, -0.06894019945818096, 0.024734255730678948, 0.21296824289796254, 0.01490583160581688, 0.2531974325655028, -0.4576769746374339, -0.2735800008328321, 0.11179529326424624, 0.140880186491025, 0.16022507441521155, -0.040583304191629095, -0.25772130927847076, -0.0015927025272200505, -0.19324884404195472, -0.1298383315675892, -0.11122950417144845, -0.0035853609306893, 0.005260909418575465, -0.28242860548004195, 0.12079008182821174, 0.10863569708114179, 0.03894505934440531, -0.051920369929090764, -0.03474123955432636, 0.00575635910499841, 0.07758184912769744, -0.008239808846459104, -0.016816334919227908, 0.2284857747067387, -0.14497825257130897, -0.10689487999964815, 0.3804052860165636, -0.10882682120621515, -0.16064309532133242, 0.2064604333951138, -0.0913225851370953, -0.11859158353957658, 0.1320423923432827, 0.14303664076142014, 0.12114744486752897, -0.2086610049009323, 0.03395926342691382, -0.028985603984134894, 0.18462211084358085, -0.01446343672190172, 0.07895483764247425, 0.24233505787948767, 0.23816340136496972, -0.016790598343747357, 0.23084284962533275, -0.0757461728916193, -0.16046455231650422, -0.2664375185578441, -0.15360402293639103, -0.2424526697800805, 0.10609860907231147, -0.0745366193663358, -0.1955189424023653, 0.3800092134159058, 0.15700575073533402, 0.20301663119656344, 0.023441019263312532, 0.24764773352071642, 0.13253013153929108, 0.035617951077680725, 0.04432849741230408, 0.2197975884269302, 0.132426094521846, 0.085665734934931, -0.32083731004580235, 0.08346264637366403, -0.014757417561486363] |
710.2651 | Groupoid Extensions of Mapping Class Representations for Bordered
Surfaces | The mapping class group of a surface with one boundary component admits
numerous interesting representations including as a group of automorphisms of a
free group and as a group of symplectic transformations. Insofar as the mapping
class group can be identified with the fundamental group of Riemann's moduli
space, it is furthermore identified with a subgroup of the fundamental path
groupoid upon choosing a basepoint. A combinatorial model for this, the mapping
class groupoid, arises from the invariant cell decomposition of Teichm\"uller
space, whose fundamental path groupoid is called the Ptolemy groupoid. It is
natural to try to extend representations of the mapping class group to the
mapping class groupoid, i.e., construct a homomorphism from the mapping class
groupoid to the same target that extends the given representations arising from
various choices of basepoint.
Among others, we extend both aforementioned representations to the groupoid
level in this sense, where the symplectic representation is lifted both
rationally and integrally. The techniques of proof include several algorithms
involving fatgraphs and chord diagrams. The former extension is given by
explicit formulae depending upon six essential cases, and the kernel and image
of the groupoid representation are computed. Furthermore, this provides
groupoid extensions of any representation of the mapping class group that
factors through its action on the fundamental group of the surface including,
for instance, the Magnus representation and representations on the moduli
spaces of flat connections.
| math.GT | the mapping class group of a surface with one boundary component admits numerous interesting representations including as a group of automorphisms of a free group and as a group of symplectic transformations insofar as the mapping class group can be identified with the fundamental group of riemanns moduli space it is furthermore identified with a subgroup of the fundamental path groupoid upon choosing a basepoint a combinatorial model for this the mapping class groupoid arises from the invariant cell decomposition of teichmuller space whose fundamental path groupoid is called the ptolemy groupoid it is natural to try to extend representations of the mapping class group to the mapping class groupoid ie construct a homomorphism from the mapping class groupoid to the same target that extends the given representations arising from various choices of basepoint among others we extend both aforementioned representations to the groupoid level in this sense where the symplectic representation is lifted both rationally and integrally the techniques of proof include several algorithms involving fatgraphs and chord diagrams the former extension is given by explicit formulae depending upon six essential cases and the kernel and image of the groupoid representation are computed furthermore this provides groupoid extensions of any representation of the mapping class group that factors through its action on the fundamental group of the surface including for instance the magnus representation and representations on the moduli spaces of flat connections | [['the', 'mapping', 'class', 'group', 'of', 'a', 'surface', 'with', 'one', 'boundary', 'component', 'admits', 'numerous', 'interesting', 'representations', 'including', 'as', 'a', 'group', 'of', 'automorphisms', 'of', 'a', 'free', 'group', 'and', 'as', 'a', 'group', 'of', 'symplectic', 'transformations', 'insofar', 'as', 'the', 'mapping', 'class', 'group', 'can', 'be', 'identified', 'with', 'the', 'fundamental', 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'where', 'the', 'symplectic', 'representation', 'is', 'lifted', 'both', 'rationally', 'and', 'integrally', 'the', 'techniques', 'of', 'proof', 'include', 'several', 'algorithms', 'involving', 'fatgraphs', 'and', 'chord', 'diagrams', 'the', 'former', 'extension', 'is', 'given', 'by', 'explicit', 'formulae', 'depending', 'upon', 'six', 'essential', 'cases', 'and', 'the', 'kernel', 'and', 'image', 'of', 'the', 'groupoid', 'representation', 'are', 'computed', 'furthermore', 'this', 'provides', 'groupoid', 'extensions', 'of', 'any', 'representation', 'of', 'the', 'mapping', 'class', 'group', 'that', 'factors', 'through', 'its', 'action', 'on', 'the', 'fundamental', 'group', 'of', 'the', 'surface', 'including', 'for', 'instance', 'the', 'magnus', 'representation', 'and', 'representations', 'on', 'the', 'moduli', 'spaces', 'of', 'flat', 'connections']] | [-0.12909744627491182, 0.07268346347374087, -0.10780445885701248, 0.05575593523621464, -0.1567777927773885, -0.09965133493264708, 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710.2652 | Renormalization of Orientable Non-Commutative Complex $\Phi^6_3$ Model | In this paper we prove that the Grosse-Wulkenhaar type non-commutative
orientable complex scalar $\phi^6_3$ theory, with two non-commutative
coordinates and the third one commuting with the other two, is renormalizable
to all orders in perturbation theory. Our proof relies on a multiscale analysis
in x space.
| hep-th | in this paper we prove that the grossewulkenhaar type noncommutative orientable complex scalar phi6_3 theory with two noncommutative coordinates and the third one commuting with the other two is renormalizable to all orders in perturbation theory our proof relies on a multiscale analysis in x space | [['in', 'this', 'paper', 'we', 'prove', 'that', 'the', 'grossewulkenhaar', 'type', 'noncommutative', 'orientable', 'complex', 'scalar', 'phi6_3', 'theory', 'with', 'two', 'noncommutative', 'coordinates', 'and', 'the', 'third', 'one', 'commuting', 'with', 'the', 'other', 'two', 'is', 'renormalizable', 'to', 'all', 'orders', 'in', 'perturbation', 'theory', 'our', 'proof', 'relies', 'on', 'a', 'multiscale', 'analysis', 'in', 'x', 'space']] | [-0.1552096301275823, 0.11713963778359661, -0.08333741240203381, 0.07537475942323606, -0.08456356660980317, -0.1433250236324966, -0.06554436907430904, 0.27979864676793414, -0.24634791852699386, -0.230702755600214, 0.07217248594647066, -0.28932175394147636, -0.21959120738837454, 0.16748673849635654, -0.08453252429349555, -0.03159963306453493, -0.009899112763297227, 0.07248094143966834, -0.1122808013473534, -0.2994057722389698, 0.43320101187047033, -0.08677929132762882, 0.21401518730239735, 0.022363313660025596, 0.12342828682934244, 0.0551310774921957, -0.06484979500011023, -0.005547718093859859, -0.10500663900311338, 0.19173550608878334, 0.2496124256816175, 0.04785178320275413, 0.2223725131402413, -0.40285844835970136, -0.22708740066736938, 0.13372556662393942, 0.10455197402172618, 0.0677725526297258, -0.0137001029914245, -0.2601654563099146, 0.05460887968850633, -0.16946359479592907, -0.16138430771728357, -0.10195480808615684, -0.008574444345302051, -0.05250253195150031, -0.25271083004772665, 0.021375066766308414, 0.08094921319021119, 0.06306651592668559, -0.029576957991553677, -0.04791795965284109, -0.009692011437275343, 0.031191917560580703, 0.04401410721345908, 0.06574060725462105, 0.06232466599386599, -0.006281204764834709, -0.15686309275786495, 0.3385893423938089, -0.11806480439586772, -0.29036216090122857, 0.17147678927414947, -0.19859146835903327, -0.25957468040287496, 0.07187107768323686, 0.08165205700529946, 0.19969432792729802, -0.09785133492615487, 0.20291940857423468, -0.0813087551958031, 0.14693013591588372, 0.07425022059016757, 0.02207091339967317, 0.1385594286231531, 0.12203991210812495, 0.09271610161910454, 0.076575636865002, 0.014606569609087374, -0.17378123498832185, -0.3973230656960772, -0.15971990505026445, -0.14268738605961617, 0.10132864667361395, -0.15816208857803657, -0.19403992543617885, 0.41884184213769104, 0.13940856142176522, 0.13860459317349724, 0.06231506086058087, 0.2911778818298545, 0.07647730443471422, 0.03521331953298715, 0.055068003851920365, 0.20324373005164995, 0.17139090181638797, 0.04938046833914187, -0.120490195033037, -0.09961957012613615, 0.25738319833245543] |
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