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710.5653 | Time-dependent quasi-Hermitian Hamiltonians and the unitarity of quantum
evolution | We show that the consequences of an introduction of a manifest
time-dependence in a pseudo-Hermitian Hamiltonian H=H(t) are by far less
drastic than suggested by A. Mostafazadeh in Phys. Lett. B 650 (2007) 208
(arXiv:0706.1872v2 [quant-ph]). In particular, the unitarity of the evolution
does not necessitate the time-independence of the metric $\eta_+=\eta_+(t)$.
| quant-ph | we show that the consequences of an introduction of a manifest timedependence in a pseudohermitian hamiltonian hht are by far less drastic than suggested by a mostafazadeh in phys lett b 650 2007 208 arxiv07061872v2 quantph in particular the unitarity of the evolution does not necessitate the timeindependence of the metric eta_eta_t | [['we', 'show', 'that', 'the', 'consequences', 'of', 'an', 'introduction', 'of', 'a', 'manifest', 'timedependence', 'in', 'a', 'pseudohermitian', 'hamiltonian', 'hht', 'are', 'by', 'far', 'less', 'drastic', 'than', 'suggested', 'by', 'a', 'mostafazadeh', 'in', 'phys', 'lett', 'b', '650', '2007', '208', 'arxiv07061872v2', 'quantph', 'in', 'particular', 'the', 'unitarity', 'of', 'the', 'evolution', 'does', 'not', 'necessitate', 'the', 'timeindependence', 'of', 'the', 'metric', 'eta_eta_t']] | [-0.12152543511497331, 0.147654088695965, -0.07932710698714443, -0.010345932151026586, -0.07179662917612814, -0.09184545841908046, 0.04995930826693189, 0.30506196397119295, -0.12574824433335485, -0.30624697174803883, 0.02619115209581294, -0.2728425882683665, -0.20393364923074841, 0.1711705488463243, -0.1453192314297399, 0.0058097923174500465, 0.06414557406998367, 0.0006845630340132059, -0.1392120989359112, -0.21908099625223115, 0.2208650127308918, 0.12772521102691398, 0.23341764743421592, 0.10270684090095993, 0.052264867058279464, 0.03944062909987919, -0.012355893228874159, -0.01240858928683926, -0.14941103809913187, 0.0161473444519181, 0.12870053813664936, 0.12093734094763503, 0.28302312463375867, -0.39470095101597846, -0.23155884935027538, 0.1035042353631819, 0.10991446024683468, 0.0944227096350754, 0.009307954496904915, -0.3391106180189287, 0.020371632120918994, -0.21901925160166094, -0.1191852875327801, -0.09440526996246155, 0.08630733330752335, -0.06376225757869143, -0.2070812976773025, 0.11967564835304431, 0.12381100198071376, 0.08541131724475645, -0.0031311931482324484, -0.09529091994844231, -0.03847118039779803, -0.03364115695049073, -0.005169584470636705, 0.06439129905044741, 0.0710410447243382, -0.06763271852305122, -0.07881158140177529, 0.38149381458174947, -0.06566404924852381, -0.1562347565868906, 0.16513593271876886, -0.14379894914215102, -0.15050787787756645, 0.12013681359730624, 0.09729837786917593, 0.12826565691434286, -0.180596139592429, 0.16620896077331374, -0.0526114594848717, 0.15543366665495376, 0.10801003383034292, 0.053848304228820636, 0.13888411044928373, 0.06001149018879468, 0.017169789064164255, 0.06497679709219466, -0.04025728845347961, -0.09803322828648721, -0.3320641378853835, -0.17846219006505812, -0.1914365221837572, 0.14594874861130866, -0.014882271835470902, -0.11796167075483348, 0.4031872101420281, 0.14556660284014308, 0.2522853109437753, -0.027338733951396802, 0.1677218918670334, 0.08917341624185735, 0.06500193947816596, 0.15920000707767173, 0.3434675248230205, 0.1480559820364065, 0.10932023386817936, -0.23463811202193885, -0.01420860203877822, 0.03706411361767381] |
710.5654 | Core blocks of Ariki-Koike algebras II: the weight of a core block | We study combinatorial blocks of multipartitions, exploring further the
notions of weight, hub and core block introduced by the author in earlier
papers. We answer the question of which pairs (w,theta) occur as the weight and
hub of a block, and we examine the action of the affine Weyl group on the set
of blocks.
| math.CO math.RT | we study combinatorial blocks of multipartitions exploring further the notions of weight hub and core block introduced by the author in earlier papers we answer the question of which pairs wtheta occur as the weight and hub of a block and we examine the action of the affine weyl group on the set of blocks | [['we', 'study', 'combinatorial', 'blocks', 'of', 'multipartitions', 'exploring', 'further', 'the', 'notions', 'of', 'weight', 'hub', 'and', 'core', 'block', 'introduced', 'by', 'the', 'author', 'in', 'earlier', 'papers', 'we', 'answer', 'the', 'question', 'of', 'which', 'pairs', 'wtheta', 'occur', 'as', 'the', 'weight', 'and', 'hub', 'of', 'a', 'block', 'and', 'we', 'examine', 'the', 'action', 'of', 'the', 'affine', 'weyl', 'group', 'on', 'the', 'set', 'of', 'blocks']] | [-0.17587759508328005, 0.06570474151521921, -0.0404377262362025, 0.015009805763309653, -0.07080544471232729, -0.09564501361244104, 0.10556257604198023, 0.32012418420477345, -0.3122032983059233, -0.26309849558906123, 0.09477967133703218, -0.25535589785061097, -0.20479359911246733, 0.11138906124979257, -0.06377779375761747, 0.011875922368331389, 0.03469120758500966, 0.0859675846231932, -0.038573643351264765, -0.3054229149086909, 0.42375220829112964, 0.08935981331901117, 0.24420361820269715, 0.029187300631945783, 0.09445426169444214, 0.041347049743953077, -0.13414575830525297, 0.005705296993255615, -0.16059091262180697, 0.16458501866595313, 0.25990422992882406, 0.12837140349332582, 0.25913227711888875, -0.39789907390421086, -0.14548328591679985, 0.10007077902555465, 0.10586050860583782, 0.07205454717940567, 0.014660345853983679, -0.2743160193447362, 0.10317145596385341, -0.19410067891532726, -0.11403842962939631, 0.003959280184724114, 0.026283587650819257, 0.017576874889941377, -0.1986714394255118, 0.032537811774421825, 0.14296505297878123, 0.06624020580202342, -0.035043190961534326, -0.1300107853995128, 0.0017798493065955964, 0.14621445381675255, 0.028934510287796332, 0.015260387758131731, 0.11712648817761377, -0.12092293036932295, -0.1458548009226268, 0.33398429439826444, 0.017658097771081058, -0.12844546422023664, 0.15115013355389237, -0.09978893282982013, -0.17199055296792226, -0.011860580319030718, 0.1600574076345021, 0.11018764092163606, -0.08038903745737942, 0.09898921355964954, -0.14633451773023062, 0.06885337175970728, 0.1354099504649639, 0.017379125622524458, 0.17775671962987294, 0.1128288917412812, 0.05615893131629987, 0.17058478908782657, -0.03340504306199198, -0.05869186693294482, -0.29235276976092295, -0.21982984315942633, -0.1776198795234615, 0.031916072558272966, -0.08835846213544507, -0.1590709653090347, 0.4968376278199933, 0.08852320486171679, 0.24804353222081607, 0.08714406356765804, 0.14356180302883415, 0.0485569704686482, 0.11683037433434616, 0.05251485454765233, 0.10842610391026193, 0.18294118440032683, 0.005224673560058529, -0.1951549239287322, 0.015148374274246056, 0.19739028802988204] |
710.5655 | Classification of integrable Vlasov-type equations | Classification of integrable Vlasov-type equations is reduced to a functional
equation for a generating function. A general solution of this functional
equation is found in terms of hypergeometric functions.
| nlin.SI hep-th math-ph math.MP math.QA | classification of integrable vlasovtype equations is reduced to a functional equation for a generating function a general solution of this functional equation is found in terms of hypergeometric functions | [['classification', 'of', 'integrable', 'vlasovtype', 'equations', 'is', 'reduced', 'to', 'a', 'functional', 'equation', 'for', 'a', 'generating', 'function', 'a', 'general', 'solution', 'of', 'this', 'functional', 'equation', 'is', 'found', 'in', 'terms', 'of', 'hypergeometric', 'functions']] | [-0.16295823968690018, -0.015085473528196072, -0.14645651034240065, 0.13367267362853705, -0.0835671769776221, -0.10231364532855564, -0.03845053596486305, 0.19518947768314132, -0.2970282977511143, -0.22982882053173823, 0.0363324632795913, -0.2973849641094948, -0.23043270471730623, 0.19446257328421906, -0.02461181552117241, 0.1325399101679695, 0.06758522306536806, 0.03921206745094266, -0.19796978579512958, -0.25251289540580635, 0.3323248206027623, -0.07085205026870144, 0.23140273358801317, 0.025907093755387026, 0.22925864651413827, -0.027903170389091146, 0.029124972041182477, -0.02359633372518523, -0.1403118257956772, 0.1157311860086589, 0.3369804768469827, 0.07715805215311461, 0.3184552760473613, -0.374391811289664, -0.23694024090494575, 0.055965517069502126, 0.1547824701230074, 0.10089964291145062, -0.017539611343165923, -0.24490729436792177, 0.06321838893124769, -0.17874795564546667, -0.2547679488258115, -0.08534289549650817, 0.056967550326652565, 0.13248084350649653, -0.3230741560330679, 0.18903602572992959, -0.00842856908024385, 0.0015283607203384925, -0.17079609150773492, -0.07346992072215754, -0.011400377586612413, -0.014980958790743145, 0.01497606493950147, 0.09371408677242439, 0.03788608961321156, -0.21344123009174806, -0.03478658388786275, 0.36081564917775066, -0.08774901515450971, -0.40742294194883316, 0.08770903710532806, -0.09008083884315245, -0.17015792166107688, 0.11366206279088711, 0.1466259292230524, 0.16638718217868229, -0.2715899368812298, 0.15945792503269582, -0.05754377654400365, 0.17012074050204506, 0.06072561018939676, -0.05053797624965102, 0.06876061953090389, 0.17356262918047863, 0.051756373542393076, 0.1647764021723435, 0.12089483195851589, -0.14319511348028377, -0.3535279509579313, -0.21739912620777713, -0.17180500514875569, 0.1353576722201602, -0.10491113430531375, -0.27629539755911664, 0.4655311928805092, 0.03166786000004102, 0.07096592041439023, 0.106168982091135, 0.19629744633004584, 0.38390647029054575, 0.046087558862978016, -0.010992243773592958, 0.08921327168956913, 0.21234428622470847, 0.06327370518882727, -0.18671599072243633, 0.03668776091894713, 0.19079388135337624] |
710.5656 | Slowly rotating wormholes: the first order approximation | We discuss a solution describing a rotating wormhole in the theory of gravity
with a scalar field with negative kinetic energy. To solve the problem we use
the assumption about slow rotation. The role of a small dimensionless parameter
plays the ratio of the linear velocity of rotation of the wormhole's throat and
the velocity of light. The rotating wormhole solution is constructed in the
framework of the first order approximation with respect to the small parameter.
We analyze the obtained solution and study the motion of test particles and the
propagation of light in the spacetime of rotating wormhole.
| gr-qc | we discuss a solution describing a rotating wormhole in the theory of gravity with a scalar field with negative kinetic energy to solve the problem we use the assumption about slow rotation the role of a small dimensionless parameter plays the ratio of the linear velocity of rotation of the wormholes throat and the velocity of light the rotating wormhole solution is constructed in the framework of the first order approximation with respect to the small parameter we analyze the obtained solution and study the motion of test particles and the propagation of light in the spacetime of rotating wormhole | [['we', 'discuss', 'a', 'solution', 'describing', 'a', 'rotating', 'wormhole', 'in', 'the', 'theory', 'of', 'gravity', 'with', 'a', 'scalar', 'field', 'with', 'negative', 'kinetic', 'energy', 'to', 'solve', 'the', 'problem', 'we', 'use', 'the', 'assumption', 'about', 'slow', 'rotation', 'the', 'role', 'of', 'a', 'small', 'dimensionless', 'parameter', 'plays', 'the', 'ratio', 'of', 'the', 'linear', 'velocity', 'of', 'rotation', 'of', 'the', 'wormholes', 'throat', 'and', 'the', 'velocity', 'of', 'light', 'the', 'rotating', 'wormhole', 'solution', 'is', 'constructed', 'in', 'the', 'framework', 'of', 'the', 'first', 'order', 'approximation', 'with', 'respect', 'to', 'the', 'small', 'parameter', 'we', 'analyze', 'the', 'obtained', 'solution', 'and', 'study', 'the', 'motion', 'of', 'test', 'particles', 'and', 'the', 'propagation', 'of', 'light', 'in', 'the', 'spacetime', 'of', 'rotating', 'wormhole']] | [-0.19684439755510538, 0.09581080396659672, -0.09125482455827295, 0.048992177663603795, -0.08063464920967817, -0.10874506457243115, -0.008578653312288225, 0.2750774250365794, -0.223736723465845, -0.3224205877986969, 0.07557802712661214, -0.25215466623194516, -0.0949937817780301, 0.1408573225326836, -0.020235077794641256, 0.05863216990604997, -6.386149674654006e-05, 0.052437874325551095, -0.07427632998209446, -0.16172496340237558, 0.38112181934528055, 0.05979241588152945, 0.2379744155332446, 0.004475257648155093, 0.14716780761256815, -0.025234976212959736, -0.015560185289941728, 0.07089240703731775, -0.1837690737369121, 0.08377469020779245, 0.12623161588329823, 0.11327760533429682, 0.24409871339797973, -0.41428202544339, -0.20196702850051224, 0.07781920635607094, 0.1391318192705512, 0.16626093312166632, -0.08259130947291851, -0.27192304731346667, 0.05844606292434037, -0.15705019508954138, -0.23941834116354585, -0.026184882232919336, 0.041316326927626504, 0.027673376097809524, -0.23063810026273132, 0.08910086795687676, 0.03898104334250092, -0.015428777806519064, -0.13004096953198313, -0.025784847969189287, -0.011820311434566974, 0.06365722852759063, 0.18069979431806132, 0.03280244857422076, 0.13405161773785948, -0.1670795689430088, -0.017858701600925998, 0.40841822668910027, -0.13731152468011715, -0.25391411781311035, 0.09791518939659, -0.18611998171632876, -0.04384476421168074, 0.09496891058981419, 0.194655968490988, 0.1934973605815321, -0.10575625525787473, 0.10979185323987622, -0.030109655926935375, 0.16138582767453044, 0.10732683550566435, 0.005798827861435711, 0.25578861360438165, 0.16868459093384444, 0.028528323168866335, 0.1516378720290959, -0.12837999110575765, -0.13292977718170731, -0.35476829823106526, -0.18300990576972254, -0.12968501959810966, 0.02390049224253744, -0.17599509127394414, -0.17661123326048256, 0.393830979084596, 0.11420401209965349, 0.1774909008294344, 0.011195547776296735, 0.2720700144022703, 0.11554451855830848, 0.012510564237018115, 0.11939754776190967, 0.3343401425331831, 0.18451200741576032, 0.1311862916382961, -0.28462710183637685, -0.02330584032461047, 0.050471014846116304] |
710.5657 | Thermodynamics and Relativity: A Revised Interpretation of the Concepts
of Reversibility and Irreversibility | It is generally admitted in thermodynamics that, for a given change in
volume, the work done by a system is greater in conditions of reversibility
than in conditions of irreversibility. If the basic conventions of physics are
strictly respected, it seems that this proposition needs to be reversed. Beyond
this formal aspect, the discussion consolidates the idea that thermodynamics
and relativity are closely connected.
| physics.gen-ph | it is generally admitted in thermodynamics that for a given change in volume the work done by a system is greater in conditions of reversibility than in conditions of irreversibility if the basic conventions of physics are strictly respected it seems that this proposition needs to be reversed beyond this formal aspect the discussion consolidates the idea that thermodynamics and relativity are closely connected | [['it', 'is', 'generally', 'admitted', 'in', 'thermodynamics', 'that', 'for', 'a', 'given', 'change', 'in', 'volume', 'the', 'work', 'done', 'by', 'a', 'system', 'is', 'greater', 'in', 'conditions', 'of', 'reversibility', 'than', 'in', 'conditions', 'of', 'irreversibility', 'if', 'the', 'basic', 'conventions', 'of', 'physics', 'are', 'strictly', 'respected', 'it', 'seems', 'that', 'this', 'proposition', 'needs', 'to', 'be', 'reversed', 'beyond', 'this', 'formal', 'aspect', 'the', 'discussion', 'consolidates', 'the', 'idea', 'that', 'thermodynamics', 'and', 'relativity', 'are', 'closely', 'connected']] | [-0.12368914077524096, 0.15304156581987627, -0.10846504557571279, 0.09678490123769734, -0.08619549596915022, -0.16173990083916578, 0.05493783637211891, 0.31153335450653685, -0.253445923437539, -0.26542820091708563, 0.10864864699397003, -0.22689585713669658, -0.1436651747299038, 0.19143995057675056, -0.13054807143635117, -0.005828803186886944, 0.01940083334920928, 0.08150753611334949, -0.060366562927811174, -0.2533719883504091, 0.33796545703080483, 0.06576180642150575, 0.28916019742609933, 0.08088727916765492, 0.02840727206785232, -0.04439308150540455, 0.004603553825290874, 0.09098126817843877, -0.12449829095373843, 0.1049286523120827, 0.26781270538049284, 0.1717895512629184, 0.28412405037670396, -0.3933304558740929, -0.21261967594909947, 0.059519778631511144, 0.08891913284605835, 0.08115123045126893, 0.009172697449685074, -0.22368691373776528, 0.10630709282122552, -0.14196537996758707, -0.17927946527925087, -0.02818394218775211, 0.05511237707105465, -0.05196273987530731, -0.18946058154688217, 0.10054085840238258, 0.14591027452843264, 0.07520218405988999, -0.0172390930383699, -0.0386971929219726, 0.0017698775063763605, 0.09059491264633834, 0.06186126077136578, 0.033106938091805205, 0.1368379473569803, -0.08970970767404651, -0.07621156321692979, 0.4494963615652523, 0.03480365712925959, -0.26747868696111254, 0.15877767045458313, -0.1941970730331377, -0.19750845215457957, 0.07600009651559958, 0.05972761496377643, 0.10001550320521346, -0.19273650553805055, 0.06337207890373975, -0.02625627947418252, 0.16941718578891596, 0.06515311008115532, -0.008150191082677338, 0.22555972627014853, 0.1652005646537873, 0.06088546872342704, 0.09165407116688584, 0.0956909375563555, -0.18006170525040943, -0.38183545795618556, -0.18853105485322885, -0.19319466306478716, 0.07583236946084071, -0.023471110194577705, -0.08912458812847035, 0.31089205844909884, 0.17999121759203263, 0.1132885193292168, 0.027908906544325873, 0.27179424473433755, 0.11642365439911373, 0.07426917613338446, 0.058535256823233794, 0.27188177598873153, 0.1286537252490234, 0.1681670667603612, -0.16195461567258462, 0.11072534356935648, 0.051360268735152204] |
710.5658 | Analytic approximations, perturbation methods, and their applications | The paper summarizes the parallel session B3 {\em Analytic approximations,
perturbation methods, and their applications} of the GR18 conference. The talks
in the session reported notably recent advances in black hole perturbations and
post-Newtonian approximations as applied to sources of gravitational waves.
| gr-qc | the paper summarizes the parallel session b3 em analytic approximations perturbation methods and their applications of the gr18 conference the talks in the session reported notably recent advances in black hole perturbations and postnewtonian approximations as applied to sources of gravitational waves | [['the', 'paper', 'summarizes', 'the', 'parallel', 'session', 'b3', 'em', 'analytic', 'approximations', 'perturbation', 'methods', 'and', 'their', 'applications', 'of', 'the', 'gr18', 'conference', 'the', 'talks', 'in', 'the', 'session', 'reported', 'notably', 'recent', 'advances', 'in', 'black', 'hole', 'perturbations', 'and', 'postnewtonian', 'approximations', 'as', 'applied', 'to', 'sources', 'of', 'gravitational', 'waves']] | [-0.20425671370836293, 0.027867049978273672, -0.059063387444106545, 0.07079615537077188, -0.11266847958833706, -0.08089803486335569, 0.005241997701842792, 0.3022397537602157, -0.15796143252675127, -0.3429155567797219, 0.11019690704486537, -0.3289538122168401, -0.13929800393923028, 0.2106705696844473, -0.06493626243048688, 0.10226908487426799, 0.06844574660517094, -0.0033117925929950507, -0.1090277474623446, -0.3043742533773184, 0.29121121274670814, 0.11247608422233564, 0.24390771371744027, -0.013229766894677064, 0.06372617605346732, -0.007865646206660241, -0.13897455079344714, -0.012016164275204263, -0.16762976532393112, 0.12815678041292036, 0.3369984070145065, 0.14355400549929317, 0.22528115742862587, -0.49731580113492363, -0.24126518995248394, -0.053282435526276324, 0.10244702013981778, 0.19162595720689107, -0.08361805309882252, -0.31260972433700795, 0.027659747726851848, -0.23656621043820206, -0.09039855076045525, -0.0034950726733701987, 0.07444880784648221, 0.09273798536600136, -0.14558557305973385, 0.08680053276759458, 0.1176334820097176, -0.01968854611239782, -0.04869485487479989, -0.10196639933600658, 0.04788272414447331, 0.06706099648301195, 0.16736452220144069, 0.0923084607461422, 0.1342870650767553, -0.11945924563503756, -0.22524100149095785, 0.40536742902747014, -0.07847974481197392, -0.08161522475321119, 0.1766256153265514, -0.17075039019308438, -0.2028430551290512, 0.06365013028290577, 0.23575874100007663, 0.2099476989313233, -0.16167137669626533, 0.1781654269292542, 0.13596150306303326, 0.11500922313368903, 0.14007625985527183, 0.01577053197500546, 0.268468169200166, 0.06065680046293249, -0.04358824853580899, 0.05548834548581664, -0.030039749857856006, -0.06637627572366377, -0.32969976625427966, -0.07298260543313695, -0.14060976928690586, -0.047650711656343644, -0.044223781651675294, -0.17806892011672396, 0.4037104955215643, 0.1698398405186287, 0.08060488645441649, 0.007339569853573311, 0.3213699975664296, 0.04011890522158909, -0.031866740213888814, 0.10798926228975378, 0.3071873222318728, 0.19862865686144043, 0.21235337853431702, -0.11827949184651781, 0.01682988095676481, 0.10477865346502967] |
710.5659 | Model Checking Synchronized Products of Infinite Transition Systems | Formal verification using the model checking paradigm has to deal with two
aspects: The system models are structured, often as products of components, and
the specification logic has to be expressive enough to allow the formalization
of reachability properties. The present paper is a study on what can be
achieved for infinite transition systems under these premises. As models we
consider products of infinite transition systems with different synchronization
constraints. We introduce finitely synchronized transition systems, i.e.
product systems which contain only finitely many (parameterized) synchronized
transitions, and show that the decidability of FO(R), first-order logic
extended by reachability predicates, of the product system can be reduced to
the decidability of FO(R) of the components. This result is optimal in the
following sense: (1) If we allow semifinite synchronization, i.e. just in one
component infinitely many transitions are synchronized, the FO(R)-theory of the
product system is in general undecidable. (2) We cannot extend the expressive
power of the logic under consideration. Already a weak extension of first-order
logic with transitive closure, where we restrict the transitive closure
operators to arity one and nesting depth two, is undecidable for an
asynchronous (and hence finitely synchronized) product, namely for the infinite
grid.
| cs.LO | formal verification using the model checking paradigm has to deal with two aspects the system models are structured often as products of components and the specification logic has to be expressive enough to allow the formalization of reachability properties the present paper is a study on what can be achieved for infinite transition systems under these premises as models we consider products of infinite transition systems with different synchronization constraints we introduce finitely synchronized transition systems ie product systems which contain only finitely many parameterized synchronized transitions and show that the decidability of for firstorder logic extended by reachability predicates of the product system can be reduced to the decidability of for of the components this result is optimal in the following sense 1 if we allow semifinite synchronization ie just in one component infinitely many transitions are synchronized the fortheory of the product system is in general undecidable 2 we cannot extend the expressive power of the logic under consideration already a weak extension of firstorder logic with transitive closure where we restrict the transitive closure operators to arity one and nesting depth two is undecidable for an asynchronous and hence finitely synchronized product namely for the infinite grid | [['formal', 'verification', 'using', 'the', 'model', 'checking', 'paradigm', 'has', 'to', 'deal', 'with', 'two', 'aspects', 'the', 'system', 'models', 'are', 'structured', 'often', 'as', 'products', 'of', 'components', 'and', 'the', 'specification', 'logic', 'has', 'to', 'be', 'expressive', 'enough', 'to', 'allow', 'the', 'formalization', 'of', 'reachability', 'properties', 'the', 'present', 'paper', 'is', 'a', 'study', 'on', 'what', 'can', 'be', 'achieved', 'for', 'infinite', 'transition', 'systems', 'under', 'these', 'premises', 'as', 'models', 'we', 'consider', 'products', 'of', 'infinite', 'transition', 'systems', 'with', 'different', 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710.566 | Systematic Model Building Based on Quark-Lepton Complementarity
Assumptions | In this talk, we present a procedure to systematically generate a large
number of valid mass matrix textures from very generic assumptions. Compared to
plain anarchy arguments, we postulate some structure for the theory, such as a
possible connection between quarks and leptons, and a mechanism to generate
flavor structure. We illustrate how this parameter space can be used to test
the exclusion power of future experiments, and we point out that one can
systematically generate embeddings in Z_N product flavor symmetry groups.
| hep-ph | in this talk we present a procedure to systematically generate a large number of valid mass matrix textures from very generic assumptions compared to plain anarchy arguments we postulate some structure for the theory such as a possible connection between quarks and leptons and a mechanism to generate flavor structure we illustrate how this parameter space can be used to test the exclusion power of future experiments and we point out that one can systematically generate embeddings in z_n product flavor symmetry groups | [['in', 'this', 'talk', 'we', 'present', 'a', 'procedure', 'to', 'systematically', 'generate', 'a', 'large', 'number', 'of', 'valid', 'mass', 'matrix', 'textures', 'from', 'very', 'generic', 'assumptions', 'compared', 'to', 'plain', 'anarchy', 'arguments', 'we', 'postulate', 'some', 'structure', 'for', 'the', 'theory', 'such', 'as', 'a', 'possible', 'connection', 'between', 'quarks', 'and', 'leptons', 'and', 'a', 'mechanism', 'to', 'generate', 'flavor', 'structure', 'we', 'illustrate', 'how', 'this', 'parameter', 'space', 'can', 'be', 'used', 'to', 'test', 'the', 'exclusion', 'power', 'of', 'future', 'experiments', 'and', 'we', 'point', 'out', 'that', 'one', 'can', 'systematically', 'generate', 'embeddings', 'in', 'z_n', 'product', 'flavor', 'symmetry', 'groups']] | [-0.0736191003156983, 0.16616671236164599, -0.11182496551962862, 0.16707799014500735, -0.10885456177484558, -0.12539189035095363, 0.1211720190518704, 0.3954422892666007, -0.2727167686694358, -0.3017800824032221, 0.07978174589989505, -0.23511573314352566, -0.13876465585430614, 0.13890376051955194, -0.027732628790369952, 0.024380070011479307, 0.03638924032180424, -0.010674512619713703, -0.0930790371431251, -0.22690073497795377, 0.31631871519879584, 0.03008365001619221, 0.26846832224358635, 0.06212829786678215, 0.06060583698731589, -0.05476738104641617, -0.010421168625758714, 0.013694996053159395, -0.09816697549296849, 0.096289987145665, 0.23753765134382096, 0.13275729876056494, 0.14661274415774675, -0.4319668395153011, -0.14689537887293172, 0.15698932047304978, 0.12382630340149064, 0.14058954870126333, -0.08519722732255258, -0.27443193029387886, 0.10260492422637608, -0.23926911126059222, -0.15437820100461144, -0.15982791452376868, -0.03712707636204649, -0.04600155837932063, -0.30970241270359067, 0.023757668254133987, 0.026107237859438342, -0.004788432113197912, 0.0212635428775158, -0.1056249073807554, -0.014553487059626594, 0.08683500341308045, 0.10495018783440611, 0.0007184204443481313, 0.1130282665695434, -0.13057274429242588, -0.15185082853064838, 0.4249016431395907, -0.05118707847972232, -0.27019985715847417, 0.17681941235471652, -0.1372230233602136, -0.19034926265096627, 0.04411867168501962, 0.22528852637385927, 0.10862381695152586, -0.13033203985009073, 0.07972186764895758, -0.09013576525072735, 0.1793197641189137, 0.06921728293927588, 0.016526744285800372, 0.22898174743785196, 0.16867351759763727, 0.053998272389128625, 0.10283089041322784, -0.06075361250978278, -0.08083190528903134, -0.3498931404046086, -0.12603609135980348, -0.13776332256664714, 0.09817105891037149, -0.09028295406188777, -0.09295049575942917, 0.4246254123646362, 0.21026157322395816, 0.2524642118712865, 0.04250390485422798, 0.23736358952360698, 0.048667044070597, 0.0672988028669483, 0.04014224508575287, 0.19474660868494187, 0.11320834610252137, 0.06298689163256302, -0.15409918757525823, 0.005915150742035314, 0.09283037411879344] |
710.5661 | Hopf algebras of diagrams | We investigate several Hopf algebras of diagrams related to Quantum Field
Theory of Partitions and whose product comes from the Hopf algebras WSym or
WQSym respectively built on integer set partitions and set compositions. Bases
of these algebras are indexed either by bipartite graphs (labelled or
unlabbeled) or by packed matrices (with integer or set coefficients).
Realizations on biword are exhibited, and it is shown how these algebras fit
into a commutative diagram. Hopf deformations and dendriform structures are
also considered for some algebras in the picture.
| math.CO | we investigate several hopf algebras of diagrams related to quantum field theory of partitions and whose product comes from the hopf algebras wsym or wqsym respectively built on integer set partitions and set compositions bases of these algebras are indexed either by bipartite graphs labelled or unlabbeled or by packed matrices with integer or set coefficients realizations on biword are exhibited and it is shown how these algebras fit into a commutative diagram hopf deformations and dendriform structures are also considered for some algebras in the picture | [['we', 'investigate', 'several', 'hopf', 'algebras', 'of', 'diagrams', 'related', 'to', 'quantum', 'field', 'theory', 'of', 'partitions', 'and', 'whose', 'product', 'comes', 'from', 'the', 'hopf', 'algebras', 'wsym', 'or', 'wqsym', 'respectively', 'built', 'on', 'integer', 'set', 'partitions', 'and', 'set', 'compositions', 'bases', 'of', 'these', 'algebras', 'are', 'indexed', 'either', 'by', 'bipartite', 'graphs', 'labelled', 'or', 'unlabbeled', 'or', 'by', 'packed', 'matrices', 'with', 'integer', 'or', 'set', 'coefficients', 'realizations', 'on', 'biword', 'are', 'exhibited', 'and', 'it', 'is', 'shown', 'how', 'these', 'algebras', 'fit', 'into', 'a', 'commutative', 'diagram', 'hopf', 'deformations', 'and', 'dendriform', 'structures', 'are', 'also', 'considered', 'for', 'some', 'algebras', 'in', 'the', 'picture']] | [-0.16335788650064578, 0.15518936301516587, -0.00932090503141977, 0.07744489708335983, -0.1151741772435259, -0.16634628077600758, -0.011952311993132583, 0.39648509998047765, -0.37127090063552526, -0.24038771282729887, 0.17009894136572257, -0.28943620472713266, -0.18278255938487345, 0.17868065780981682, -0.08756522515918626, -0.03316417386278857, 0.07385914734846284, 0.10813020810289958, -0.09074916382493495, -0.28108000904754843, 0.41747002414600964, -0.06357301611231293, 0.1816046293824911, -0.040493346438039264, 0.06000969595773969, 0.0062039821885179645, -0.05646909963404543, 0.09009657726558142, -0.17701879671103385, 0.08654735837305008, 0.30679281111427603, 0.09262047018747517, 0.13995251372499867, -0.3816167583342555, -0.057754146888159046, 0.13821783406270105, 0.15724310937857386, 0.03496248022718138, 0.012948465946422847, -0.29537023764190284, 0.061339852773736034, -0.20789754436199748, -0.04397282266967692, -0.12862569851216016, 0.04715743162371435, -0.001060440540746894, -0.2744814382086313, -0.02029405636841507, 0.08771643997711498, 0.14714985900710142, -0.07744324060703822, -0.1877609986898511, -0.10311279795403311, 0.06894088789365839, -0.11351588026479666, -0.03374745175892184, 0.1042089992971701, -0.07367958822071033, -0.23994001464615033, 0.345220981858844, 0.09769196269578885, -0.24465720279705386, 0.15203676283695236, -0.19189967321188645, -0.16137224462879604, 0.10091507970896918, 0.050726654470984844, 0.07823688393393748, -0.0633913774346543, 0.14323603294432424, -0.0979750139292243, 0.03602588274462019, 0.15209919315502915, 0.02307226035072533, 0.23390639784507627, 0.0548616845788824, -0.003738245553185427, 0.18990125122835771, 0.10803782162364832, -0.10845028900481804, -0.2674548037696716, -0.09495486500997875, -0.1112841282603006, 0.1132739702412902, -0.11192936738777018, -0.250956974071816, 0.3825602768162309, 0.08491951440525956, 0.1853935893656832, 0.08350820602242683, 0.1596529909306704, 0.05705851435219344, 0.15642420800272808, 0.009329616980150689, 0.06492523908199536, 0.2772796536676672, -0.011725771452062005, -0.06987433643405173, -0.022801277945143018, 0.22498538805345117] |
710.5662 | Physics of crypto-Hermitian and/or cryptosupersymmetric field theories | We discuss non-Hermitian field theories where the spectrum of the Hamiltonian
involves only real energies. We make three observations. (i) The theories
obtained from supersymmetric theories by nonanticommutative deformations belong
in many cases to this class. (ii) When the deformation parameter is small, the
deformed theory enjoys the same supersymmetry algebra as the undeformed one.
Half of the supersymmetries are manifest and the existence of another half can
be deduced from the structure of the spectrum. (iii) Generically, the
conventionally defined S--matrix is not unitary for such theories.
| hep-th math-ph math.MP quant-ph | we discuss nonhermitian field theories where the spectrum of the hamiltonian involves only real energies we make three observations i the theories obtained from supersymmetric theories by nonanticommutative deformations belong in many cases to this class ii when the deformation parameter is small the deformed theory enjoys the same supersymmetry algebra as the undeformed one half of the supersymmetries are manifest and the existence of another half can be deduced from the structure of the spectrum iii generically the conventionally defined smatrix is not unitary for such theories | [['we', 'discuss', 'nonhermitian', 'field', 'theories', 'where', 'the', 'spectrum', 'of', 'the', 'hamiltonian', 'involves', 'only', 'real', 'energies', 'we', 'make', 'three', 'observations', 'i', 'the', 'theories', 'obtained', 'from', 'supersymmetric', 'theories', 'by', 'nonanticommutative', 'deformations', 'belong', 'in', 'many', 'cases', 'to', 'this', 'class', 'ii', 'when', 'the', 'deformation', 'parameter', 'is', 'small', 'the', 'deformed', 'theory', 'enjoys', 'the', 'same', 'supersymmetry', 'algebra', 'as', 'the', 'undeformed', 'one', 'half', 'of', 'the', 'supersymmetries', 'are', 'manifest', 'and', 'the', 'existence', 'of', 'another', 'half', 'can', 'be', 'deduced', 'from', 'the', 'structure', 'of', 'the', 'spectrum', 'iii', 'generically', 'the', 'conventionally', 'defined', 'smatrix', 'is', 'not', 'unitary', 'for', 'such', 'theories']] | [-0.11840179193214598, 0.16993549748704853, -0.034288928187875586, 0.08384518551412673, -0.06094233049820601, -0.175407445254016, -0.07472018207111185, 0.31485981748185377, -0.2463374565969306, -0.25869590099848044, 0.10976950477528259, -0.26602016283537855, -0.17423236701870337, 0.12961135589813982, -0.053298426400446755, -0.0012855627679858696, 0.011452314020557837, 0.09902972576674074, -0.1395184218312021, -0.233123077881332, 0.3509208653704263, -0.004596872825376605, 0.22691803522916001, -0.018588971463032067, 0.04108286422508007, 0.017725926347669552, 0.04472815773492171, 0.011923339629468253, -0.09649337557229129, 0.09484522299714047, 0.22898713337384502, 0.11432411524848166, 0.15028443874590183, -0.4214771739207208, -0.204712390889075, 0.1080980995267799, 0.14959781446271914, 0.14019785027697004, 0.0424004363912073, -0.29220069120426406, 0.03854365652130747, -0.17512772093654017, -0.18921043641801755, -0.05934162217255851, -0.0036807718610031193, -0.06392614814368161, -0.20890945756334325, 0.06833094362412918, 0.01832683210853826, 0.04994309600442648, -0.08356783688809215, -0.08087011519554918, -0.09907192719930952, 0.07915373711049059, 0.10965672011926389, -0.025399768000087617, 0.12136900261975825, -0.17005092968412844, -0.10772684096909044, 0.4250478842824867, -0.0076586088583677665, -0.20862701700852168, 0.1507774349989962, -0.1841739423292562, -0.20588479696942324, 0.11847374668418938, 0.0396392916075208, 0.15566411009058356, -0.09156768098992787, 0.24000951896397799, -0.04727050102718005, 0.12612814105920156, 0.04480785071659325, 0.055285725710828876, 0.21895596432891165, 0.07355851453824223, 0.031702283831360874, 0.11277907402439848, -0.02809075064512647, -0.13943060236686672, -0.42600004690360616, -0.12571078964339738, -0.1557697569845583, 0.10542668062755017, -0.09746010179763041, -0.1617788055445999, 0.41181181829465047, 0.10615282598353754, 0.19784045867378486, 0.05054970498366112, 0.1747553076446903, 0.16439163750394734, 0.14935405739710073, 0.023822381732646714, 0.2963047835351476, 0.14218718971030533, 0.04176790869678371, -0.18405598526508335, -0.07973276493033733, 0.13135981345178813] |
710.5663 | Constructing networks of defects with scalar fields | We propose a new way to build networks of defects. The idea takes advantage
of the deformation procedure recently employed to describe defect structures,
which we use to construct networks, spread from small rudimentary networks that
appear in simple models of scalar fields.
| hep-th cond-mat.soft hep-ph | we propose a new way to build networks of defects the idea takes advantage of the deformation procedure recently employed to describe defect structures which we use to construct networks spread from small rudimentary networks that appear in simple models of scalar fields | [['we', 'propose', 'a', 'new', 'way', 'to', 'build', 'networks', 'of', 'defects', 'the', 'idea', 'takes', 'advantage', 'of', 'the', 'deformation', 'procedure', 'recently', 'employed', 'to', 'describe', 'defect', 'structures', 'which', 'we', 'use', 'to', 'construct', 'networks', 'spread', 'from', 'small', 'rudimentary', 'networks', 'that', 'appear', 'in', 'simple', 'models', 'of', 'scalar', 'fields']] | [-0.09593396477921065, 0.04309893538092458, -0.13362230702714864, 0.08493205870306769, -0.09939879516334554, -0.13506176899902003, 0.016668229396346698, 0.4183147030254436, -0.27623577775476976, -0.2815574016855207, 0.009633380278056963, -0.1637945614408615, -0.2803113471803277, 0.14096584582571373, -0.08683198870181344, 0.017678807879429916, 0.039352862640868784, -0.010202573899309649, -0.030511894929331054, -0.25505352132888726, 0.36843571387404617, 0.02948300549110701, 0.3341677572664826, -0.013960251064841138, 0.13763987285973028, -0.027349134842150433, 0.009055095399881518, 0.042041343799250765, -0.13003508625961543, 0.22257596375637276, 0.22309242442717606, 0.1246131686710341, 0.2701035198257413, -0.4954938321959141, -0.28101160784446916, 0.1211193542775893, 0.16709584914429418, 0.23234637696458416, -0.04216238301853801, -0.24884514623256618, 0.10884979629326005, -0.2011184776418431, -0.14119955436001683, -0.1690691265948983, -0.024556958452300277, -0.021082121662275737, -0.24681287876135388, 0.009081446294954349, 0.012010662071948308, -0.0075763916856674265, 0.00263456666712151, -0.07153666480769251, 0.009660985060902528, 0.15400343714281917, 0.005491341269293497, -0.009873774422462596, 0.14719668792040888, -0.09641303257951729, -0.14920226493471322, 0.3703236945493277, -0.06242742194512556, -0.1715716717461514, 0.18228961518684098, -0.03954890433179085, -0.17963163868719062, 0.11235551276179247, 0.26701232635004574, 0.11492832588724965, -0.16180761237520463, 0.03812728458365729, 0.01883888435225154, 0.14081947899661784, 0.02140631443864211, 0.006493099867691135, 0.20010269259990648, 0.18225099497777952, 0.04649085083673166, 0.17054897911716685, -0.09931891146224252, -0.09440903768463191, -0.2647848966163258, -0.11479978456140258, -0.14684855103557712, 0.056541701323937536, -0.04219472238274161, -0.22866789182258207, 0.40112030540787896, 0.2029376681894064, 0.25003009140058313, 0.06099096790015654, 0.22583132477607146, 0.05266664777124344, 0.19252950977534056, 0.04943421115925492, 0.1924547551762919, 0.16145977544663256, 0.12801150690634236, -0.08851060740714677, -0.021243204873022732, 0.07530640569233964] |
710.5664 | The PANDA Experiment at FAIR | The physics program of the future FAIR facility covers a wide range of topics
that address central issues of strong interactions and QCD. The antiproton beam
of unprecedented quality in the momentum range from 1 GeV/c to 15 GeV/c will
allow the PANDA experiment to make high precision, high statistics
measurements, which include charmonium and open charm spectroscopy, the search
for exotic hadrons and the study of in-medium modifications of hadron masses.
| hep-ex | the physics program of the future fair facility covers a wide range of topics that address central issues of strong interactions and qcd the antiproton beam of unprecedented quality in the momentum range from 1 gevc to 15 gevc will allow the panda experiment to make high precision high statistics measurements which include charmonium and open charm spectroscopy the search for exotic hadrons and the study of inmedium modifications of hadron masses | [['the', 'physics', 'program', 'of', 'the', 'future', 'fair', 'facility', 'covers', 'a', 'wide', 'range', 'of', 'topics', 'that', 'address', 'central', 'issues', 'of', 'strong', 'interactions', 'and', 'qcd', 'the', 'antiproton', 'beam', 'of', 'unprecedented', 'quality', 'in', 'the', 'momentum', 'range', 'from', '1', 'gevc', 'to', '15', 'gevc', 'will', 'allow', 'the', 'panda', 'experiment', 'to', 'make', 'high', 'precision', 'high', 'statistics', 'measurements', 'which', 'include', 'charmonium', 'and', 'open', 'charm', 'spectroscopy', 'the', 'search', 'for', 'exotic', 'hadrons', 'and', 'the', 'study', 'of', 'inmedium', 'modifications', 'of', 'hadron', 'masses']] | [-0.05129314146082228, 0.2352693546304686, -0.13011928227772135, 0.14000690286047757, -0.06722358982854833, -0.12611944545965847, 0.05680503877293733, 0.3432610382895089, -0.2040261769693138, -0.35048679071607897, -0.009599858359757086, -0.34007163260442513, 0.1407423806635456, 0.17111513230419303, 0.04845309460587385, 0.16194855183776882, 0.16646001486353473, -0.06158450109715988, -0.066687363597642, -0.19054042812786065, 0.2943722748120005, 0.15780563179093102, 0.22471713395013163, 0.25277657703393036, 0.07687566287091209, 0.06296822635744724, -0.06631249886575258, -0.04384321997996368, -0.14701628780403553, 0.07649605392038615, 0.34803116709614795, 0.11841005126350662, 0.20438022020971403, -0.3100409428847747, -0.14389245432620454, 0.087945296464669, 0.12323747874082376, 0.07083121605521431, -0.09317788459722781, -0.2614303161681164, 0.09417178669253998, -0.2235878331379758, -0.1737778747531896, -0.09924663932502477, -0.03877060625624532, 0.07274498080045709, -0.2614312198323508, 0.027834228880237788, -0.06515564979054034, 0.07569601920355733, -0.016178528894670308, -0.22389633988495916, 0.06292420918018454, 0.06802035625635956, 0.03653302054024405, 0.13160502160543627, 0.16762318649044675, -0.2298803743130217, -0.18591679653359783, 0.4454771592023058, 0.0298542596186356, -0.0711196792868173, 0.16804949532444072, -0.2801743575837463, -0.14407960834473166, 0.1453751432224332, 0.2841998597658757, 0.0708985465268294, -0.19369289259581515, 0.0667595601609921, -0.010364544797792204, 0.20412913410917907, 0.07267347049330258, 0.11744827197010939, 0.24172827635063893, 0.21883593867015508, 0.031010989940518305, 0.03510833075011356, -0.11358012053016056, -0.06942127520839374, -0.36657899527603555, -0.10899182729836968, -0.04229453446653982, 0.050059233974833556, -0.03408097072133387, -0.045982087567810796, 0.40586362352931044, 0.1460176876733183, 0.22760607260796759, -0.06373771871989851, 0.2911840188317001, -0.03755670121204781, 0.06400830043841982, 0.0076651284341803854, 0.2772450874456101, 0.16513284667032874, 0.23080113497821408, -0.2627074107779966, -0.0564144138738306, -0.03803351474925876] |
710.5665 | A mathematical model quantifies proliferation and motility effects of
TGF--$\beta$ on cancer cells | Transforming growth factor (TGF) $\beta$ is known to have properties of both
a tumor suppressor and a tumor promoter. While it inhibits cell proliferation,
it also increases cell motility and decreases cell--cell adhesion. Coupling
mathematical modeling and experiments, we investigate the growth and motility
of oncogene--expressing human mammary epithelial cells under exposure to
TGF--$\beta$. We use a version of the well--known Fisher--Kolmogorov equation,
and prescribe a procedure for its parametrization. We quantify the simultaneous
effects of TGF--$\beta$ to increase the tendency of individual cells and cell
clusters to move randomly and to decrease overall population growth. We
demonstrate that in experiments with TGF--$\beta$ treated cells \textit{in
vitro}, TGF--$\beta$ increases cell motility by a factor of 2 and decreases
cell proliferation by a factor of 1/2 in comparison with untreated cells.
| q-bio.QM | transforming growth factor tgf beta is known to have properties of both a tumor suppressor and a tumor promoter while it inhibits cell proliferation it also increases cell motility and decreases cellcell adhesion coupling mathematical modeling and experiments we investigate the growth and motility of oncogeneexpressing human mammary epithelial cells under exposure to tgfbeta we use a version of the wellknown fisherkolmogorov equation and prescribe a procedure for its parametrization we quantify the simultaneous effects of tgfbeta to increase the tendency of individual cells and cell clusters to move randomly and to decrease overall population growth we demonstrate that in experiments with tgfbeta treated cells textitin vitro tgfbeta increases cell motility by a factor of 2 and decreases cell proliferation by a factor of 12 in comparison with untreated cells | [['transforming', 'growth', 'factor', 'tgf', 'beta', 'is', 'known', 'to', 'have', 'properties', 'of', 'both', 'a', 'tumor', 'suppressor', 'and', 'a', 'tumor', 'promoter', 'while', 'it', 'inhibits', 'cell', 'proliferation', 'it', 'also', 'increases', 'cell', 'motility', 'and', 'decreases', 'cellcell', 'adhesion', 'coupling', 'mathematical', 'modeling', 'and', 'experiments', 'we', 'investigate', 'the', 'growth', 'and', 'motility', 'of', 'oncogeneexpressing', 'human', 'mammary', 'epithelial', 'cells', 'under', 'exposure', 'to', 'tgfbeta', 'we', 'use', 'a', 'version', 'of', 'the', 'wellknown', 'fisherkolmogorov', 'equation', 'and', 'prescribe', 'a', 'procedure', 'for', 'its', 'parametrization', 'we', 'quantify', 'the', 'simultaneous', 'effects', 'of', 'tgfbeta', 'to', 'increase', 'the', 'tendency', 'of', 'individual', 'cells', 'and', 'cell', 'clusters', 'to', 'move', 'randomly', 'and', 'to', 'decrease', 'overall', 'population', 'growth', 'we', 'demonstrate', 'that', 'in', 'experiments', 'with', 'tgfbeta', 'treated', 'cells', 'textitin', 'vitro', 'tgfbeta', 'increases', 'cell', 'motility', 'by', 'a', 'factor', 'of', '2', 'and', 'decreases', 'cell', 'proliferation', 'by', 'a', 'factor', 'of', '12', 'in', 'comparison', 'with', 'untreated', 'cells']] | [-0.05934300873601853, 0.1810899478664925, 0.05107930413440101, 0.0035073824078855355, -0.020985356299206614, -0.13937261637098106, 0.137970839807576, 0.3782660143283853, -0.23993661062604235, -0.2548857628144035, 0.038637399296240174, -0.2805376607570942, -0.26878023676054424, 0.1508320412750161, -0.1213676846015823, -0.032253300670494665, 0.04130010900372827, -0.0023196676471667695, 0.10428634759710105, -0.22559547538385372, 0.18054946948225473, 0.06293052991729432, 0.33158305965457835, 0.03408852378908155, 0.1365969725451324, -0.03297728783940146, -0.004614016879530436, 0.02637446425898477, -0.18280439877499285, 0.11962064544989749, 0.18908012772426586, 0.12747955891166546, 0.321340777470853, -0.5100332921471937, -0.2621513539131067, 0.0795020438530374, 0.2137042694371338, 0.11169188420735877, -0.0436878279907369, -0.1769271885268679, 0.05803757786386206, -0.16428830264345562, -0.1388788428807328, -0.036567760494270525, 0.032029479565171076, 0.049708390210451946, -0.2939241234819556, 0.17664171339490076, 0.0054230503103959325, 0.09437691072334153, -0.15034056738715676, -0.0797893842429558, -0.06216747102204912, 0.21171478636187407, 0.08250060904402892, 0.027334707303607996, 0.3048523349124332, -0.16755218876800101, -0.09225047933832967, 0.3358167419137881, 0.0186443115086403, -0.2018108542488758, 0.1908988767780017, -0.17738532469889454, -0.08066539173492758, 0.14756643932760338, 0.17144784865568774, 0.030235940016546222, -0.13261129991909446, -0.028586594839111086, 0.03810541364256033, 0.19808860814790855, 0.1441907011181867, -0.05828584617097653, 0.09754348307028557, 0.28642956477900344, 0.009753323064452802, 0.09976449359006198, -0.09772415788367737, -0.06766916153403793, -0.1877542222956513, -0.19867354577277288, -0.0606843791306452, 0.045158639860649906, -0.11605815116817839, -0.18305686495245196, 0.37582027500625265, 0.027315058305050977, 0.1905068214982748, 0.07535811629897171, 0.20491321644810742, 0.01752544443895535, 0.13758218628462665, -0.054125463842710324, 0.16404449672604254, 0.12818730152897942, 0.08733332735601841, -0.3402538363489705, 0.12624003729501435, 0.019989473461859333] |
710.5666 | The Entropy Photon-Number Inequality and its Consequences | Determining the ultimate classical information carrying capacity of
electromagnetic waves requires quantum-mechanical analysis to properly account
for the bosonic nature of these waves. Recent work has established capacity
theorems for bosonic single-user, broadcast, and wiretap channels, under the
presumption of two minimum output entropy conjectures. Despite considerable
accumulated evidence that supports the validity of these conjectures, they have
yet to be proven. Here we show that the preceding minimum output entropy
conjectures are simple consequences of an Entropy Photon-Number Inequality,
which is a conjectured quantum-mechanical analog of the Entropy Power
Inequality (EPI) from classical information theory.
| quant-ph cs.IT math.IT | determining the ultimate classical information carrying capacity of electromagnetic waves requires quantummechanical analysis to properly account for the bosonic nature of these waves recent work has established capacity theorems for bosonic singleuser broadcast and wiretap channels under the presumption of two minimum output entropy conjectures despite considerable accumulated evidence that supports the validity of these conjectures they have yet to be proven here we show that the preceding minimum output entropy conjectures are simple consequences of an entropy photonnumber inequality which is a conjectured quantummechanical analog of the entropy power inequality epi from classical information theory | [['determining', 'the', 'ultimate', 'classical', 'information', 'carrying', 'capacity', 'of', 'electromagnetic', 'waves', 'requires', 'quantummechanical', 'analysis', 'to', 'properly', 'account', 'for', 'the', 'bosonic', 'nature', 'of', 'these', 'waves', 'recent', 'work', 'has', 'established', 'capacity', 'theorems', 'for', 'bosonic', 'singleuser', 'broadcast', 'and', 'wiretap', 'channels', 'under', 'the', 'presumption', 'of', 'two', 'minimum', 'output', 'entropy', 'conjectures', 'despite', 'considerable', 'accumulated', 'evidence', 'that', 'supports', 'the', 'validity', 'of', 'these', 'conjectures', 'they', 'have', 'yet', 'to', 'be', 'proven', 'here', 'we', 'show', 'that', 'the', 'preceding', 'minimum', 'output', 'entropy', 'conjectures', 'are', 'simple', 'consequences', 'of', 'an', 'entropy', 'photonnumber', 'inequality', 'which', 'is', 'a', 'conjectured', 'quantummechanical', 'analog', 'of', 'the', 'entropy', 'power', 'inequality', 'epi', 'from', 'classical', 'information', 'theory']] | [-0.18041099675489627, 0.1276721059950129, -0.11370099512957192, 0.08922540626008413, -0.06369674221302073, -0.21136298536536438, 0.0854689453493241, 0.27137910072390997, -0.23880137584152786, -0.24960607169972113, 0.07958415221219184, -0.2969081990528745, -0.1370508716548405, 0.20126643042506961, -0.10649166852332807, 0.12716029509950508, 0.048826462171102016, 0.07076616322350067, -0.03417938962350794, -0.2837860707271223, 0.2827299344401884, 0.07426062619197182, 0.32666577836789656, 0.13883749301445883, 0.06294169694107647, 0.01458799245301634, -0.02310380228057814, -0.012944175551335016, -0.16999478217697592, 0.11790125260207181, 0.2857702821784187, 0.19369180956709897, 0.2596922028557553, -0.46509744935125735, -0.29760070188785903, 0.131665361453391, 0.09898952529010785, 0.10910017511317467, -0.04479979809063176, -0.2503941562608816, 0.061802760159480385, -0.16349066424785028, -0.09626519710097152, -0.06440533511340618, 0.010879908038380867, -0.030612614040061697, -0.25330603203716845, 0.1193834105682375, 0.13141056478586202, 0.05267943182843737, -0.06014806510453733, -0.08116514592741926, 0.008188194178122407, 0.10847887664567679, 0.0651181059377753, -0.031167375338554848, 0.06277515410571748, -0.1193290711089503, -0.1685324132364864, 0.2698836011210612, 0.005538591372896917, -0.18146616807158958, 0.1400169572152663, -0.11086951433874977, -0.13509849690429596, 0.13024643609727113, 0.10653317598431992, 0.047211397242790554, -0.15370545899107432, 0.07108054156742583, -0.09768193971831352, 0.15456701390697467, 0.1228799527452793, 0.17444849948515184, 0.23180383436071375, 0.05975802025447289, 0.01919682786926084, 0.18472434704381158, -0.044315610589061784, -0.16418482171866344, -0.31542803717699525, -0.18587407043317702, -0.2430573884388044, 0.11269736517472968, -0.08456483820524834, -0.11236005533040345, 0.3101535005698679, 0.13442834121694128, 0.08715801237849519, 0.08192256292992776, 0.29297687305370346, 0.1482963135058526, 0.01913140499527799, 0.10336417216361345, 0.28270831863725715, 0.27086116987629794, 0.06210997847180503, -0.1869434042237117, 0.057958499102824135, 0.0775250784936361] |
710.5667 | Giant Planet Formation by Core Accretion | We present a review of the standard paradigm for giant planet formation, the
core accretion theory. After an overview of the basic concepts of this model,
results of the original implementation are discussed. Then, recent improvements
and extensions, like the inclusion of planetary migration and the resulting
effects are discussed. It is shown that these improvement solve the timescale
problem. Finally, it is shown that by means of generating synthetic populations
of (extrasolar) planets, core accretion models are able to reproduce in a
statistically significant way the actually observed planetary population.
| astro-ph | we present a review of the standard paradigm for giant planet formation the core accretion theory after an overview of the basic concepts of this model results of the original implementation are discussed then recent improvements and extensions like the inclusion of planetary migration and the resulting effects are discussed it is shown that these improvement solve the timescale problem finally it is shown that by means of generating synthetic populations of extrasolar planets core accretion models are able to reproduce in a statistically significant way the actually observed planetary population | [['we', 'present', 'a', 'review', 'of', 'the', 'standard', 'paradigm', 'for', 'giant', 'planet', 'formation', 'the', 'core', 'accretion', 'theory', 'after', 'an', 'overview', 'of', 'the', 'basic', 'concepts', 'of', 'this', 'model', 'results', 'of', 'the', 'original', 'implementation', 'are', 'discussed', 'then', 'recent', 'improvements', 'and', 'extensions', 'like', 'the', 'inclusion', 'of', 'planetary', 'migration', 'and', 'the', 'resulting', 'effects', 'are', 'discussed', 'it', 'is', 'shown', 'that', 'these', 'improvement', 'solve', 'the', 'timescale', 'problem', 'finally', 'it', 'is', 'shown', 'that', 'by', 'means', 'of', 'generating', 'synthetic', 'populations', 'of', 'extrasolar', 'planets', 'core', 'accretion', 'models', 'are', 'able', 'to', 'reproduce', 'in', 'a', 'statistically', 'significant', 'way', 'the', 'actually', 'observed', 'planetary', 'population']] | [-0.05923961771678968, 0.08885584035929892, -0.06757662090687798, 0.11108613167352115, -0.08433087300099842, -0.0539944802390432, 0.0010756024857982993, 0.3570883250130074, -0.23736644354086, -0.3400165405595204, 0.10837748178900065, -0.2372282447272932, -0.20368320836180598, 0.23012624678181504, -0.0658484218299266, 0.03263586811250546, 0.14605134302765582, -0.03683502766416295, -0.03555081658331411, -0.3046152143647055, 0.300656659687245, 0.06898270618102698, 0.1701931531264723, 0.03473907096086295, 0.052982705317765146, -0.08776774019985409, -0.0638528395352046, -0.002696727556022969, -0.1725109886759598, 0.11034283726501719, 0.22121650779001437, 0.18075762657387243, 0.24717565516398832, -0.43817081597152646, -0.23342653563512222, 0.054356301172667154, 0.156005182523526, 0.10264416558989119, -0.10888786447121875, -0.23470012880452387, 0.08291858477533313, -0.22667448109036292, -0.166220807071243, -0.043885812818349065, 0.07810898000952675, 0.023834483104420233, -0.24525742121373437, 0.05752835462668112, 0.11500251737863317, 0.04645787875403415, -0.10148814168584706, -0.1267579809255939, -0.01898547794649398, 0.08207139126178654, 0.06228185200853949, 0.0023545161769776553, 0.15089190227829002, -0.10014979254740936, -0.10893194275846767, 0.4129500720690895, -0.060979419882322285, -0.09754848420865588, 0.22539813725462, -0.14167798546419202, -0.12570889484505732, 0.0920507246116688, 0.14282198539924817, 0.10296933411986434, -0.17418805492919062, 0.03141292272990181, -0.05131996954166955, 0.1499502796188488, 0.014060766175184604, 0.025399734859692526, 0.3173630166143834, 0.20241305857812372, 0.02755803248978087, 0.10969566454814113, -0.1121681936924438, -0.15075866010162856, -0.2445969439347039, -0.11782383788786419, -0.1131622902127904, -0.0025263845275800964, -0.052297440847154236, -0.13531126732014345, 0.3893710587091826, 0.20068547749574614, 0.17573183215898716, 0.03651627227612822, 0.3211041158372229, 0.1066751092605825, 0.08303335981423056, 0.07201827647277041, 0.28277040273462845, 0.14868757784990902, 0.0781246291084604, -0.2521249684709851, 0.10091575838569142, 0.006918074629668679] |
710.5668 | Theoretical study of NMR relaxation due to rattling phonons | We calculate the NMR relaxation rate due to quadrupolar coupling of the
nucleus to a local, strongly anharmonic phonon mode. As a model potential for a
rattling motion we consider a square-well potential. We calculate the free
phonon Green's function analytically and derive the low and high temperature
limits of the NMR relaxation rate. It is shown that the temperature dependence
of the NMR relaxation rate possesses a peak in contrast to harmonic phonons but
in qualitative agreement with a recent NMR study on KOs2O6. We discuss the
influence of phonon renormalization due to electron-phonon interaction.
| cond-mat.supr-con cond-mat.mtrl-sci | we calculate the nmr relaxation rate due to quadrupolar coupling of the nucleus to a local strongly anharmonic phonon mode as a model potential for a rattling motion we consider a squarewell potential we calculate the free phonon greens function analytically and derive the low and high temperature limits of the nmr relaxation rate it is shown that the temperature dependence of the nmr relaxation rate possesses a peak in contrast to harmonic phonons but in qualitative agreement with a recent nmr study on kos2o6 we discuss the influence of phonon renormalization due to electronphonon interaction | [['we', 'calculate', 'the', 'nmr', 'relaxation', 'rate', 'due', 'to', 'quadrupolar', 'coupling', 'of', 'the', 'nucleus', 'to', 'a', 'local', 'strongly', 'anharmonic', 'phonon', 'mode', 'as', 'a', 'model', 'potential', 'for', 'a', 'rattling', 'motion', 'we', 'consider', 'a', 'squarewell', 'potential', 'we', 'calculate', 'the', 'free', 'phonon', 'greens', 'function', 'analytically', 'and', 'derive', 'the', 'low', 'and', 'high', 'temperature', 'limits', 'of', 'the', 'nmr', 'relaxation', 'rate', 'it', 'is', 'shown', 'that', 'the', 'temperature', 'dependence', 'of', 'the', 'nmr', 'relaxation', 'rate', 'possesses', 'a', 'peak', 'in', 'contrast', 'to', 'harmonic', 'phonons', 'but', 'in', 'qualitative', 'agreement', 'with', 'a', 'recent', 'nmr', 'study', 'on', 'kos2o6', 'we', 'discuss', 'the', 'influence', 'of', 'phonon', 'renormalization', 'due', 'to', 'electronphonon', 'interaction']] | [-0.1406584113780506, 0.16115015884800718, -0.08961645042775974, 0.039099963407352334, -0.052458026691359315, -0.13477441102926, 0.07218408098560758, 0.37906101741828024, -0.2745517937364639, -0.19708770345702456, 0.003006088748710075, -0.31627879211616045, -0.12511381507889988, 0.19225698467926122, 0.0739037847185197, 0.01264697489871954, -0.01044237776659429, 0.05693157132676182, -0.08182961563337206, -0.1605653600927326, 0.22508917653855556, 0.09087822593573947, 0.30383130331756547, 0.17459095450984327, 0.06280121534170273, 0.037702566376538016, 0.08081551324964191, -0.00932548224227503, -0.19625867332107796, 0.07677279453006729, 0.2314925617835494, -0.0717869739116092, 0.23332468442580043, -0.40285416814731434, -0.2365236350754761, 0.059402560854020216, 0.15139753112453036, 0.19585790046645948, -0.06910855065871147, -0.19294527087671062, -0.007753808097428798, -0.17048355139559135, -0.13072869725753358, -0.14142409109626897, 0.028829378192313015, 0.023411360874888487, -0.26645578918396495, 0.19898587527374426, 0.01840545242400064, 0.06770398698669548, -0.15915603015794963, -0.08593176782596856, 0.023167735863050137, 0.022378496898454614, 0.08902413277379158, 0.05504375955933938, 0.21592609235085547, -0.08991157377992447, -0.06577226169853627, 0.38163821238170687, -0.13370089320233092, -0.11545184262649855, 0.20106736554104523, -0.20889697834112061, -0.05878661088839484, 0.14174112028558739, 0.14811313941997165, 0.09703891564277001, -0.15846885033533908, 0.0916059051320796, 0.0514204473195908, 0.2044624580788271, 0.03416205452716289, 0.06791837427522296, 0.16134226014643596, 0.15041785046923906, 0.020224257716715027, 0.17760296530711153, -0.12916779089573538, -0.08031256662798114, -0.22913322069992623, -0.11348276693024673, -0.22618346836043202, 0.06911286953739666, -0.06227052624035423, -0.1605003378751159, 0.4199183304735925, 0.11963828853367886, 0.21112810592361106, 0.04347561147490827, 0.2462633689477419, 0.18877450174841215, 0.0573868362698704, 0.02989088952502546, 0.2958333988111311, 0.23301060846764207, 0.07819219005856819, -0.45096878335364937, 0.023161721024128685, 0.021970750734908506] |
710.5669 | Graphs with extremal energy should have a small number of distinct
eigenvalues | The sum of the absolute values of the eigenvalues of a graph is called the
energy of the graph. We study the problem of finding graphs with extremal
energy within specified classes of graphs. We develop tools for treating such
problems and obtain some partial results. Using calculus, we show that an
extremal graph ``should'' have a small number of distinct eigenvalues. However,
we also present data that shows in many cases that extremal graphs can have a
large number of distinct eigenvalues.
| math.CO | the sum of the absolute values of the eigenvalues of a graph is called the energy of the graph we study the problem of finding graphs with extremal energy within specified classes of graphs we develop tools for treating such problems and obtain some partial results using calculus we show that an extremal graph should have a small number of distinct eigenvalues however we also present data that shows in many cases that extremal graphs can have a large number of distinct eigenvalues | [['the', 'sum', 'of', 'the', 'absolute', 'values', 'of', 'the', 'eigenvalues', 'of', 'a', 'graph', 'is', 'called', 'the', 'energy', 'of', 'the', 'graph', 'we', 'study', 'the', 'problem', 'of', 'finding', 'graphs', 'with', 'extremal', 'energy', 'within', 'specified', 'classes', 'of', 'graphs', 'we', 'develop', 'tools', 'for', 'treating', 'such', 'problems', 'and', 'obtain', 'some', 'partial', 'results', 'using', 'calculus', 'we', 'show', 'that', 'an', 'extremal', 'graph', 'should', 'have', 'a', 'small', 'number', 'of', 'distinct', 'eigenvalues', 'however', 'we', 'also', 'present', 'data', 'that', 'shows', 'in', 'many', 'cases', 'that', 'extremal', 'graphs', 'can', 'have', 'a', 'large', 'number', 'of', 'distinct', 'eigenvalues']] | [-0.14992181720010128, 0.08471796358812808, -0.05740091416715498, 0.06260901055136045, -0.07279881484896304, -0.06681060304595943, 0.015498309118493673, 0.36769694619509113, -0.24781512287838092, -0.35169867221939277, 0.11305069798149213, -0.3203962679772851, -0.16905070917613535, 0.18057301371212464, -0.08900107068278973, 0.06691525297969474, 0.13620851596211453, 0.1151885128389281, -0.031071521052866275, -0.19221276232197107, 0.3656579318445131, -0.043260493730924214, 0.17474159457249544, 0.11301525075168135, 0.08786167711698371, 0.005162976990756859, 0.0003803918104484139, 0.11851117071985875, -0.167129765669952, 0.14112048086581236, 0.308648995278089, 0.17412367968045803, 0.27810686341969365, -0.3936715559719736, -0.17423182082957173, 0.22912442422730017, 0.1299435430716903, 0.11594774430415716, -0.02813955662345671, -0.2042639177539442, 0.14299413658880505, -0.11528794434909002, -0.10447508180850601, -0.08803100045770407, 0.03286926132480962, 0.05490181803933333, -0.2584635043539197, 0.028161336978860984, 0.06783331077860062, 0.033104804818552123, -0.019064907924305784, -0.17591643700353712, 0.0016492741260991756, 0.1391755851905748, 0.04338576679162861, -0.0700799810380327, 0.03964994438778026, -0.10504524682435286, -0.16245502659893898, 0.33593611015253755, -0.006226952198937714, -0.18646424711423826, 0.11757847523114767, -0.14007105156554875, -0.19846651218382708, 0.09301970755479422, 0.16398867687591948, 0.16846789335495377, -0.10577924266816621, 0.11826911343595417, -0.11681747378175517, 0.11942575465753136, 0.08600068423638951, 0.04351846953988614, 0.14090874753135021, 0.12339352153196752, 0.10105420642108824, 0.19440943841171643, -0.04710882845480578, -0.05255144212888666, -0.3007467193865632, -0.1335094524210835, -0.23472754875792706, 0.05070371074175619, -0.19638341056980355, -0.24932563744754677, 0.46477333229618617, 0.12798768179827785, 0.23395923028576626, 0.10280463777213211, 0.20824158133332987, 0.14090284868985056, 0.0400739494284772, 0.14885315962741713, 0.18423754837909567, 0.13550038599824332, 0.01775041013866304, -0.15253998528245882, 0.022687758709001075, 0.08099301954933319] |
710.567 | An Elegant Method for Generating Multivariate Poisson Random Variable | Generating multivariate Poisson data is essential in many applications.
Current simulation methods suffer from limitations ranging from computational
complexity to restrictions on the structure of the correlation matrix. We
propose a computationally efficient and conceptually appealing method for
generating multivariate Poisson data. The method is based on simulating
multivariate Normal data and converting them to achieve a specific correlation
matrix and Poisson rate vector. This allows for generating data that have
positive or negative correlations as well as different rates.
| stat.CO | generating multivariate poisson data is essential in many applications current simulation methods suffer from limitations ranging from computational complexity to restrictions on the structure of the correlation matrix we propose a computationally efficient and conceptually appealing method for generating multivariate poisson data the method is based on simulating multivariate normal data and converting them to achieve a specific correlation matrix and poisson rate vector this allows for generating data that have positive or negative correlations as well as different rates | [['generating', 'multivariate', 'poisson', 'data', 'is', 'essential', 'in', 'many', 'applications', 'current', 'simulation', 'methods', 'suffer', 'from', 'limitations', 'ranging', 'from', 'computational', 'complexity', 'to', 'restrictions', 'on', 'the', 'structure', 'of', 'the', 'correlation', 'matrix', 'we', 'propose', 'a', 'computationally', 'efficient', 'and', 'conceptually', 'appealing', 'method', 'for', 'generating', 'multivariate', 'poisson', 'data', 'the', 'method', 'is', 'based', 'on', 'simulating', 'multivariate', 'normal', 'data', 'and', 'converting', 'them', 'to', 'achieve', 'a', 'specific', 'correlation', 'matrix', 'and', 'poisson', 'rate', 'vector', 'this', 'allows', 'for', 'generating', 'data', 'that', 'have', 'positive', 'or', 'negative', 'correlations', 'as', 'well', 'as', 'different', 'rates']] | [-0.03400516728870571, 0.028412662143819035, -0.0847805231809616, 0.13622456661687465, -0.1226141127757728, -0.16653185215545818, 0.0400420852820389, 0.3935043953882996, -0.30620719608850777, -0.3045588263310492, 0.13003043792996322, -0.26649865714443877, -0.16610475356283133, 0.26540015209175183, -0.03855161559768021, 0.12067897612578235, 0.056802065460942686, -0.0005412125668954104, -0.12211209550441708, -0.2176373894297285, 0.34570997759583405, 0.07407405579579063, 0.3734277533949353, -0.005637673771707341, 0.1591372514492832, 0.021380743599729614, -0.0930886922578793, -0.006850233650766313, -0.04038325081282892, 0.1514994074474089, 0.2832043117028661, 0.17502613357501104, 0.27365618909534534, -0.43876006323844197, -0.1903236989644938, 0.13137277314963286, 0.12532479617511855, 0.11594351175008341, -0.10773333456891124, -0.219406177350902, 0.07016581011703238, -0.1523341268475633, -0.06074657057179138, -0.16939774955972098, 0.00553202317096293, 0.03685917364782654, -0.35474341810695476, 0.14564669286482967, 0.028058564641105475, 0.050702731765341014, 0.0014407859758648555, -0.16750597107456996, 0.05330368397699203, 0.12276624892547261, 0.03172748635406606, 0.0028295200419961473, 0.10775627846705901, -0.113875367314904, -0.12423527494393057, 0.3708481909125112, -0.023643017909489573, -0.25349081777967514, 0.21478257631824818, -0.08789739044877934, -0.15352728560683318, 0.13581351346365408, 0.21883785892277957, 0.07121997992508114, -0.16888516986582544, 0.0689089182393218, -0.004603655490791425, 0.1004624856999726, 0.0527088172850199, 0.0077442944224458184, 0.15716103943996132, 0.17086982901673764, 0.04965212862225599, 0.11798922302841675, -0.11849647414092032, -0.10472991226124577, -0.22660951390862466, -0.137254992662929, -0.23640298401005566, 0.044229651780915445, -0.13215358034885866, -0.18784334614174442, 0.37288670442067084, 0.1878422449432037, 0.22300064618611942, 0.10842234669835307, 0.33671503006480635, 0.12734170183248353, 0.05749585551675409, 0.03328892331337556, 0.07642460997449234, 0.1314292902708985, 0.091900392586831, -0.14457055344828404, 0.11571072071383241, -0.0002989870496094227] |
710.5671 | Transition rate of the Unruh-DeWitt detector in curved spacetime | We examine the Unruh-DeWitt particle detector coupled to a scalar field in an
arbitrary Hadamard state in four-dimensional curved spacetime. Using smooth
switching functions to turn on and off the interaction, we obtain a
regulator-free integral formula for the total excitation probability, and we
show that an instantaneous transition rate can be recovered in a suitable
limit. Previous results in Minkowski space are recovered as a special case. As
applications, we consider an inertial detector in the Rindler vacuum and a
detector at rest in a static Newtonian gravitational field. Gravitational
corrections to decay rates in atomic physics laboratory experiments on the
surface of the Earth are estimated to be suppressed by 42 orders of magnitude.
| gr-qc | we examine the unruhdewitt particle detector coupled to a scalar field in an arbitrary hadamard state in fourdimensional curved spacetime using smooth switching functions to turn on and off the interaction we obtain a regulatorfree integral formula for the total excitation probability and we show that an instantaneous transition rate can be recovered in a suitable limit previous results in minkowski space are recovered as a special case as applications we consider an inertial detector in the rindler vacuum and a detector at rest in a static newtonian gravitational field gravitational corrections to decay rates in atomic physics laboratory experiments on the surface of the earth are estimated to be suppressed by 42 orders of magnitude | [['we', 'examine', 'the', 'unruhdewitt', 'particle', 'detector', 'coupled', 'to', 'a', 'scalar', 'field', 'in', 'an', 'arbitrary', 'hadamard', 'state', 'in', 'fourdimensional', 'curved', 'spacetime', 'using', 'smooth', 'switching', 'functions', 'to', 'turn', 'on', 'and', 'off', 'the', 'interaction', 'we', 'obtain', 'a', 'regulatorfree', 'integral', 'formula', 'for', 'the', 'total', 'excitation', 'probability', 'and', 'we', 'show', 'that', 'an', 'instantaneous', 'transition', 'rate', 'can', 'be', 'recovered', 'in', 'a', 'suitable', 'limit', 'previous', 'results', 'in', 'minkowski', 'space', 'are', 'recovered', 'as', 'a', 'special', 'case', 'as', 'applications', 'we', 'consider', 'an', 'inertial', 'detector', 'in', 'the', 'rindler', 'vacuum', 'and', 'a', 'detector', 'at', 'rest', 'in', 'a', 'static', 'newtonian', 'gravitational', 'field', 'gravitational', 'corrections', 'to', 'decay', 'rates', 'in', 'atomic', 'physics', 'laboratory', 'experiments', 'on', 'the', 'surface', 'of', 'the', 'earth', 'are', 'estimated', 'to', 'be', 'suppressed', 'by', '42', 'orders', 'of', 'magnitude']] | [-0.12804472241711257, 0.1820132010088228, -0.0791024612624134, 0.09078091084314831, -0.018325687490467882, -0.10400250058717511, -0.015107074435318595, 0.3526928256956282, -0.20438928021407077, -0.27135619409542916, 0.055215309144214506, -0.282510923779698, -0.08977805608722927, 0.20567757646244117, -0.03333392666235309, 0.03539533121310624, 0.018701735177430612, 0.0764644692796443, -0.12338301985010762, -0.21657800453048648, 0.29799632505706414, 0.09096500206867168, 0.24317232535445485, 0.02728991041056298, 0.12431040725767098, 0.02064588651510662, 0.0004107228496336731, 0.042828166504854194, -0.1323776154697733, 0.021539707074006056, 0.24796374107897684, 0.06030487220991274, 0.18779723489946076, -0.4430569072478804, -0.19268846591324384, 0.09489608066284964, 0.126807913734128, 0.14286947417763415, -0.05168762736640678, -0.32830747204094096, 0.03257072538715498, -0.17768379821891672, -0.15120372111941205, -0.0355330165114318, 0.02107003758910337, -0.015122276249116865, -0.28144074560560545, 0.07091049189831869, 0.012404508621769091, 0.0036598397258283764, -0.1008329071297214, -0.05782918855628191, 0.025757132852771158, 0.06789251706755624, 0.054744972127834975, 0.07577539306005528, 0.20185958491317157, -0.13964152055519535, -0.09526687887886635, 0.349815363722757, -0.15162622521165758, -0.24599528656309022, 0.15263262536007396, -0.20172775647972294, -0.0426588207413041, 0.14748427096316752, 0.20190147894177715, 0.16417915253209528, -0.15525561239538266, 0.1218572984000965, 0.011835859424097398, 0.14042998100470366, 0.11134414894080817, 0.04863274146818781, 0.2166534841927732, 0.11947322392771983, 0.0649927008158431, 0.1554614885726237, -0.08442439902613967, -0.09452681662113374, -0.36120489392236904, -0.16731150518974353, -0.171707421766016, 0.09480407542814019, -0.09679601241893171, -0.13539581892787125, 0.34287875134835083, 0.11606334413578413, 0.17278544375560537, 0.020158741406389867, 0.26954230489931874, 0.14053392846233628, 0.039788591551016377, 0.05276270484118241, 0.32153379414953165, 0.11540229588040504, 0.09076314150147012, -0.20915781607618555, -0.04350794847765616, 0.07766908038295163] |
710.5672 | Molecular ions in ultracold atomic gases: computed electronic
interactions for \MgHion with Rb | The electronic structures of the manifold of potential energy surfaces
generated in the lower energy range by the interaction of the
MgH$^+$(X$^1\Sigma^+$) cationic molecule with Rb($^2$S), neutral atom are
obtained over a broad range of Jacobi coordinates from strongly correlated
\emph{ab initio} calculations which use a Multireference (MR) wavefunction
within a Complete Active Space (CAS) approach. The relative features of the
lowest five surfaces are analyzed in terms of possible collisional outcomes
when employed to model the ultracold dynamics of ionic molecular partners.
| physics.chem-ph | the electronic structures of the manifold of potential energy surfaces generated in the lower energy range by the interaction of the mghx1sigma cationic molecule with rb2s neutral atom are obtained over a broad range of jacobi coordinates from strongly correlated emphab initio calculations which use a multireference mr wavefunction within a complete active space cas approach the relative features of the lowest five surfaces are analyzed in terms of possible collisional outcomes when employed to model the ultracold dynamics of ionic molecular partners | [['the', 'electronic', 'structures', 'of', 'the', 'manifold', 'of', 'potential', 'energy', 'surfaces', 'generated', 'in', 'the', 'lower', 'energy', 'range', 'by', 'the', 'interaction', 'of', 'the', 'mghx1sigma', 'cationic', 'molecule', 'with', 'rb2s', 'neutral', 'atom', 'are', 'obtained', 'over', 'a', 'broad', 'range', 'of', 'jacobi', 'coordinates', 'from', 'strongly', 'correlated', 'emphab', 'initio', 'calculations', 'which', 'use', 'a', 'multireference', 'mr', 'wavefunction', 'within', 'a', 'complete', 'active', 'space', 'cas', 'approach', 'the', 'relative', 'features', 'of', 'the', 'lowest', 'five', 'surfaces', 'are', 'analyzed', 'in', 'terms', 'of', 'possible', 'collisional', 'outcomes', 'when', 'employed', 'to', 'model', 'the', 'ultracold', 'dynamics', 'of', 'ionic', 'molecular', 'partners']] | [-0.10365541475234417, 0.13751684623577337, -0.031242529464113277, 0.05983098341356509, 0.03845888753591969, -0.11455900444103996, 0.053076989434818485, 0.37599773664118313, -0.24129011380917778, -0.3135274829933556, -0.04755369722899958, -0.28629731681061593, -0.10367611909239757, 0.1522603913198975, 0.07594691312065484, 0.03756995006214555, 0.0723357660065564, 0.0037802884940103423, -0.0956768832835312, -0.201100689464067, 0.32301277356085983, 0.08552784451124508, 0.23165480265530144, 0.06933775035346426, 0.06830077333284951, 0.004016236544064269, 0.04673661612451258, -0.006719504648084161, -0.12374479307724935, 0.18913119365801898, 0.2692221122710091, 0.013849694100095004, 0.22857695999668864, -0.4381774478796415, -0.23001166587736652, 0.04259870680639657, 0.13150129504728972, 0.13300352939262577, -0.022401384889856605, -0.2889676778690844, -0.01532738645015875, -0.18988703830712816, -0.14397681921347125, -0.09519217625294425, 0.015156797723980939, 0.07995676967065508, -0.20001598109105012, 0.09265122492229794, -0.059121843679682436, 0.10683161885221702, -0.16228981633250397, -0.15624878102936213, -0.08122088358078788, 0.05763743115800558, -0.011253428777464007, 0.03391299062840095, 0.20886266377481927, -0.1339235593076432, -0.08683858241420239, 0.43409315553471084, -0.0860499207458527, -0.1802256886574735, 0.2030548594392291, -0.15201941222270451, -0.07971439184762946, 0.22431728445992963, 0.12054530132516492, 0.14926266809357558, -0.1454242700237068, 0.1007675052160488, -0.01940853836401025, 0.160714927065561, 0.04354951944395264, 0.05786928956442308, 0.19343571008251206, 0.12342083364691041, -0.01369471767372111, 0.08568056174781083, -0.10901058132464929, -0.15941342128875166, -0.24715626318144, -0.15075870969037458, -0.2017728300146168, 0.022647828846124977, -0.06291052716125439, -0.18217895531504438, 0.4253357119528895, 0.05989973209571184, 0.16424313038814722, -0.053540050891148515, 0.23409265027631346, 0.050822877415978324, 0.03425227902920508, 0.011542645561304398, 0.24167858043730986, 0.14951269381123072, 0.03500728674727015, -0.26867449194726695, 0.033495145719271244, 0.031168427534128833] |
710.5673 | Surgery and the spinorial tau-invariant | We associate to a compact spin manifold M a real-valued invariant \tau(M) by
taking the supremum over all conformal classes over the infimum inside each
conformal class of the first positive Dirac eigenvalue, normalized to volume 1.
This invariant is a spinorial analogue of Schoen's $\sigma$-constant, also
known as the smooth Yamabe number. We prove that if N is obtained from M by
surgery of codimension at least 2, then $\tau(N) \geq
\min\{\tau(M),\Lambda_n\}$ with $\Lambda_n>0$. Various topological conclusions
can be drawn, in particular that \tau is a spin-bordism invariant below
$\Lambda_n$. Below $\Lambda_n$, the values of $\tau$ cannot accumulate from
above when varied over all manifolds of a fixed dimension.
| math.DG | we associate to a compact spin manifold m a realvalued invariant taum by taking the supremum over all conformal classes over the infimum inside each conformal class of the first positive dirac eigenvalue normalized to volume 1 this invariant is a spinorial analogue of schoens sigmaconstant also known as the smooth yamabe number we prove that if n is obtained from m by surgery of codimension at least 2 then taun geq mintaumlambda_n with lambda_n0 various topological conclusions can be drawn in particular that tau is a spinbordism invariant below lambda_n below lambda_n the values of tau cannot accumulate from above when varied over all manifolds of a fixed dimension | [['we', 'associate', 'to', 'a', 'compact', 'spin', 'manifold', 'm', 'a', 'realvalued', 'invariant', 'taum', 'by', 'taking', 'the', 'supremum', 'over', 'all', 'conformal', 'classes', 'over', 'the', 'infimum', 'inside', 'each', 'conformal', 'class', 'of', 'the', 'first', 'positive', 'dirac', 'eigenvalue', 'normalized', 'to', 'volume', '1', 'this', 'invariant', 'is', 'a', 'spinorial', 'analogue', 'of', 'schoens', 'sigmaconstant', 'also', 'known', 'as', 'the', 'smooth', 'yamabe', 'number', 'we', 'prove', 'that', 'if', 'n', 'is', 'obtained', 'from', 'm', 'by', 'surgery', 'of', 'codimension', 'at', 'least', '2', 'then', 'taun', 'geq', 'mintaumlambda_n', 'with', 'lambda_n0', 'various', 'topological', 'conclusions', 'can', 'be', 'drawn', 'in', 'particular', 'that', 'tau', 'is', 'a', 'spinbordism', 'invariant', 'below', 'lambda_n', 'below', 'lambda_n', 'the', 'values', 'of', 'tau', 'can', 'not', 'accumulate', 'from', 'above', 'when', 'varied', 'over', 'all', 'manifolds', 'of', 'a', 'fixed', 'dimension']] | [-0.14885737864010104, 0.1994835929517899, -0.054778616871137956, 0.043660311705492644, -0.04905574811289275, -0.16722383055784698, -0.027629069385862133, 0.3240199038810139, -0.27324387530257943, -0.23244576344646753, 0.10099954891270625, -0.2944920361725562, -0.12229025189833152, 0.18547746510492688, -0.06514167724553188, 0.021472312560344518, 0.010686558120191918, 0.14665730299487914, -0.1382031237638188, -0.2589004293186675, 0.3824467763578126, -0.06388507096028519, 0.15646132562360768, 0.05862868792556841, 0.10587004616155947, -0.022879706976300856, 0.05127456068240721, 0.03994835743578065, -0.18075260336774107, 0.04497953943070879, 0.2649787850677967, 0.061082164962015566, 0.23722755321976516, -0.29357496864341814, -0.1860556326589735, 0.20924503821666018, 0.16995752389209534, -0.02235935147586834, 0.030760521242189982, -0.28089821897019895, 0.2095579848146288, -0.09865775478815814, -0.15407824314652233, -0.025955986090585453, 0.0738693436618332, -0.028429305889011453, -0.2574947747111389, 0.013305944794043472, 0.09362892613430089, 0.05644718196601906, -0.05784584937719714, -0.16996628357046242, -0.08817167941228819, 0.09948437634685692, 0.047069046988126334, 0.08482712487702967, 0.09816886327035058, -0.05064222609000537, -0.08605804267860608, 0.3136696159933617, -0.12143780390620915, -0.24675332676243344, 0.08953523466261018, -0.21405684936860012, -0.15985157937153216, 0.187651462156599, 0.11835719574106122, 0.16077440952745461, -0.04712328229191897, 0.1747026004948132, -0.10425978119339828, 0.11981748077813364, 0.13536230455913129, -0.012815201612309032, 0.17583809420466423, 0.08409600402655747, 0.15106999852967987, 0.10569696820291921, -0.039738094006929923, -0.025473893959707488, -0.3793141781202936, -0.1904507655257342, -0.24995289725217318, 0.23472494698664143, -0.13539784986081474, -0.11262548896868568, 0.36126795916929155, 0.045941926764031665, 0.24926375481513663, 0.16479583833913464, 0.2127999527328605, 0.09519461980367233, 0.05390778046374747, 0.11544219457860523, 0.09889716010779963, 0.14551446170315419, 0.008150974885611837, -0.12831745405655798, -0.03537787140321431, 0.13666144460268798] |
710.5674 | Key Substitution in the Symbolic Analysis of Cryptographic Protocols
(extended version) | Key substitution vulnerable signature schemes are signature schemes that
permit an intruder, given a public verification key and a signed message, to
compute a pair of signature and verification keys such that the message appears
to be signed with the new signature key. A digital signature scheme is said to
be vulnerable to destructive exclusive ownership property (DEO) If it is
computationaly feasible for an intruder, given a public verification key and a
pair of message and its valid signature relatively to the given public key, to
compute a pair of signature and verification keys and a new message such that
the given signature appears to be valid for the new message relatively to the
new verification key. In this paper, we prove decidability of the insecurity
problem of cryptographic protocols where the signature schemes employed in the
concrete realisation have this two properties.
| cs.CR | key substitution vulnerable signature schemes are signature schemes that permit an intruder given a public verification key and a signed message to compute a pair of signature and verification keys such that the message appears to be signed with the new signature key a digital signature scheme is said to be vulnerable to destructive exclusive ownership property deo if it is computationaly feasible for an intruder given a public verification key and a pair of message and its valid signature relatively to the given public key to compute a pair of signature and verification keys and a new message such that the given signature appears to be valid for the new message relatively to the new verification key in this paper we prove decidability of the insecurity problem of cryptographic protocols where the signature schemes employed in the concrete realisation have this two properties | [['key', 'substitution', 'vulnerable', 'signature', 'schemes', 'are', 'signature', 'schemes', 'that', 'permit', 'an', 'intruder', 'given', 'a', 'public', 'verification', 'key', 'and', 'a', 'signed', 'message', 'to', 'compute', 'a', 'pair', 'of', 'signature', 'and', 'verification', 'keys', 'such', 'that', 'the', 'message', 'appears', 'to', 'be', 'signed', 'with', 'the', 'new', 'signature', 'key', 'a', 'digital', 'signature', 'scheme', 'is', 'said', 'to', 'be', 'vulnerable', 'to', 'destructive', 'exclusive', 'ownership', 'property', 'deo', 'if', 'it', 'is', 'computationaly', 'feasible', 'for', 'an', 'intruder', 'given', 'a', 'public', 'verification', 'key', 'and', 'a', 'pair', 'of', 'message', 'and', 'its', 'valid', 'signature', 'relatively', 'to', 'the', 'given', 'public', 'key', 'to', 'compute', 'a', 'pair', 'of', 'signature', 'and', 'verification', 'keys', 'and', 'a', 'new', 'message', 'such', 'that', 'the', 'given', 'signature', 'appears', 'to', 'be', 'valid', 'for', 'the', 'new', 'message', 'relatively', 'to', 'the', 'new', 'verification', 'key', 'in', 'this', 'paper', 'we', 'prove', 'decidability', 'of', 'the', 'insecurity', 'problem', 'of', 'cryptographic', 'protocols', 'where', 'the', 'signature', 'schemes', 'employed', 'in', 'the', 'concrete', 'realisation', 'have', 'this', 'two', 'properties']] | [-0.1944261704209364, 0.008254479722179693, -0.12264223351505482, 0.08455039175977516, -0.08469578983365661, -0.24149995551690356, 0.08821438042812385, 0.31487034998523694, -0.319441144708738, -0.2444002174306661, 0.1197749003396085, -0.22758964833337814, -0.11573248007981521, 0.21352005679929992, -0.11067751844206618, 0.06890091940901281, 0.030654384340676997, 0.036909490346766285, 0.00250285280667918, -0.2683455620297334, 0.33707844618604416, 0.04492383112503578, 0.2690502539448466, 0.09315185051915857, 0.0938440918107517, 0.02253640743179454, -0.04339334909390244, -0.03501585625215537, -0.09813240586254324, 0.07897063203482604, 0.3179749182050323, 0.2021822677860554, 0.24213688437723452, -0.3556223842703427, -0.11421550376366617, 0.16494799056494636, 0.13447534334166752, 0.15962315432423363, -0.10707695392031585, -0.29564072519133333, 0.16671318685661796, -0.2334646218870249, -0.09486757294507697, -0.0613963780724589, 0.0256163546970735, -0.01077562870664729, -0.2798518229198332, -0.03899493452627212, 0.07287709355457789, 0.05406276403098471, 0.058814276236969616, -0.02189616837616389, -0.00024287597625516355, 0.16858556157159102, 0.013202587113482878, 0.044601032969593585, 0.07231363338117565, -0.09063369011467633, -0.1738907559491862, 0.4255279434017009, -0.04506122899086525, -0.1727389021931837, 0.18599785890223253, -0.015106728256594378, -0.15061311568650934, 0.13116165466878252, 0.18115867940165722, 0.10257053109105779, -0.13317700667539611, -0.025304642437226396, -0.06961946664766099, 0.23041427636376788, 0.04487787675073681, 0.10957579338961902, 0.1959019408354329, 0.1086846370017156, 0.07681539178722435, 0.11359333621173089, -0.05864727988632189, -0.088913292226304, -0.322984029183216, -0.23075755550881796, -0.18929218653486007, 0.008165731152985245, -0.047404336483749726, -0.1563124393239074, 0.36596693329362195, 0.15401974708462754, 0.16497396329780006, 0.010335797249960402, 0.35117123521760935, 0.06154627169922201, 0.08291210173047148, 0.10787329661090755, 0.15154381952662435, 0.11514263371160875, 0.05521576676983386, -0.13654551893705502, 0.17759066186651276, 0.0693447505182121] |
710.5675 | Nonparametric Conditional Inference for Regression Coefficients with
Application to Configural Polysampling | We consider inference procedures, conditional on an observed ancillary
statistic, for regression coefficients under a linear regression setup where
the unknown error distribution is specified nonparametrically. We establish
conditional asymptotic normality of the regression coefficient estimators under
regularity conditions, and formally justify the approach of plugging in
kernel-type density estimators in conditional inference procedures. Simulation
results show that the approach yields accurate conditional coverage
probabilities when used for constructing confidence intervals. The plug-in
approach can be applied in conjunction with configural polysampling to derive
robust conditional estimators adaptive to a confrontation of contrasting
scenarios. We demonstrate this by investigating the conditional mean squared
error of location estimators under various confrontations in a simulation
study, which successfully extends configural polysampling to a nonparametric
context.
| stat.ME | we consider inference procedures conditional on an observed ancillary statistic for regression coefficients under a linear regression setup where the unknown error distribution is specified nonparametrically we establish conditional asymptotic normality of the regression coefficient estimators under regularity conditions and formally justify the approach of plugging in kerneltype density estimators in conditional inference procedures simulation results show that the approach yields accurate conditional coverage probabilities when used for constructing confidence intervals the plugin approach can be applied in conjunction with configural polysampling to derive robust conditional estimators adaptive to a confrontation of contrasting scenarios we demonstrate this by investigating the conditional mean squared error of location estimators under various confrontations in a simulation study which successfully extends configural polysampling to a nonparametric context | [['we', 'consider', 'inference', 'procedures', 'conditional', 'on', 'an', 'observed', 'ancillary', 'statistic', 'for', 'regression', 'coefficients', 'under', 'a', 'linear', 'regression', 'setup', 'where', 'the', 'unknown', 'error', 'distribution', 'is', 'specified', 'nonparametrically', 'we', 'establish', 'conditional', 'asymptotic', 'normality', 'of', 'the', 'regression', 'coefficient', 'estimators', 'under', 'regularity', 'conditions', 'and', 'formally', 'justify', 'the', 'approach', 'of', 'plugging', 'in', 'kerneltype', 'density', 'estimators', 'in', 'conditional', 'inference', 'procedures', 'simulation', 'results', 'show', 'that', 'the', 'approach', 'yields', 'accurate', 'conditional', 'coverage', 'probabilities', 'when', 'used', 'for', 'constructing', 'confidence', 'intervals', 'the', 'plugin', 'approach', 'can', 'be', 'applied', 'in', 'conjunction', 'with', 'configural', 'polysampling', 'to', 'derive', 'robust', 'conditional', 'estimators', 'adaptive', 'to', 'a', 'confrontation', 'of', 'contrasting', 'scenarios', 'we', 'demonstrate', 'this', 'by', 'investigating', 'the', 'conditional', 'mean', 'squared', 'error', 'of', 'location', 'estimators', 'under', 'various', 'confrontations', 'in', 'a', 'simulation', 'study', 'which', 'successfully', 'extends', 'configural', 'polysampling', 'to', 'a', 'nonparametric', 'context']] | [-0.033143967265948225, -0.030649262598657034, -0.14050775762909085, 0.1743085540577092, -0.03603379358152651, -0.17515333849659637, 0.065964081587293, 0.41519375424062416, -0.2132172047291413, -0.2787053273790631, 0.11987277532904601, -0.18502032662903475, -0.13497484482301414, 0.1997156121213882, -0.16629757594378772, 0.16062899792474533, 0.06597673365353676, -0.0019580298526720567, -0.10643752372808261, -0.2982640076151564, 0.24434878316915726, 0.07627482719196021, 0.35835713668426206, -0.07278961866895846, 0.15459556058280108, 0.06906776455200224, -0.04770708845712799, 0.02781597417125032, -0.19824566741981245, 0.1305492093732719, 0.26855252778026745, 0.16191185728746874, 0.3692894140797213, -0.3447638604143434, -0.22530505341316057, 0.11934874400742783, 0.10206204690308548, 0.073202228168803, 0.02622556814843065, -0.30868006714673574, 0.04584458873853518, -0.1844807700908258, -0.07723864430248013, -0.11384770413860679, -0.09409200679125988, 0.041777775665237146, -0.457183612248868, 0.1504671319333975, 0.031782124457064985, 0.08619637007648048, -0.03500523773014299, -0.14281560127115386, 0.031608887042750194, 0.03560434660187842, 0.0857946095932352, -0.06521195891574949, 0.12277652004979982, -0.09079496162820391, -0.1257766352173649, 0.21467286245204692, -0.09878131096089675, -0.2683893398050804, 0.11763758245809389, -0.11794862598719552, -0.1637984770504096, 0.04904470767456392, 0.23099929147326842, 0.10247533245027558, -0.21578564850311854, 0.07462286492684579, -0.032245939321361855, 0.1219562516920076, 0.02413626232238348, -0.018334723476028023, 0.15792791968719525, 0.15388305329579152, 0.09524925270556542, 0.15371841381300116, -0.1454684159214308, -0.08401860957311019, -0.34474426991313945, -0.10824871416988278, -0.20082400007796866, -0.03201602167288257, -0.17074089073987336, -0.19896624712869987, 0.3560853916305033, 0.26219653777300944, 0.18497624011280464, 0.18399865865180162, 0.2946164408498559, 0.16677851203736688, -0.018172347148464732, 0.09966473913297427, 0.17629230508969496, 0.17751633500764993, -0.030802161821495158, -0.15727851386297464, 0.20434774497662447, 0.05517774515916124] |
710.5676 | On the Problem of Radiation Friction Beyond 4 and 6 Dimensions | We count the number of independent structures which can arise in expressions
for radiation friction force in different even space-time dimensions and
demonstrate that their number is too big at d\geq 8 to allow determination of
this force from the transversality condition alone, as was done by B.Kosyakov
in 6d. This implies that in general one can not bypass a tedious calculation
involving explicit regularization and evaluation of emerging counterterms.
However, simple Kosyakov's method works nicely in any dimension for the special
case of circular motion with constant angular velocity.
| hep-th gr-qc | we count the number of independent structures which can arise in expressions for radiation friction force in different even spacetime dimensions and demonstrate that their number is too big at dgeq 8 to allow determination of this force from the transversality condition alone as was done by bkosyakov in 6d this implies that in general one can not bypass a tedious calculation involving explicit regularization and evaluation of emerging counterterms however simple kosyakovs method works nicely in any dimension for the special case of circular motion with constant angular velocity | [['we', 'count', 'the', 'number', 'of', 'independent', 'structures', 'which', 'can', 'arise', 'in', 'expressions', 'for', 'radiation', 'friction', 'force', 'in', 'different', 'even', 'spacetime', 'dimensions', 'and', 'demonstrate', 'that', 'their', 'number', 'is', 'too', 'big', 'at', 'dgeq', '8', 'to', 'allow', 'determination', 'of', 'this', 'force', 'from', 'the', 'transversality', 'condition', 'alone', 'as', 'was', 'done', 'by', 'bkosyakov', 'in', '6d', 'this', 'implies', 'that', 'in', 'general', 'one', 'can', 'not', 'bypass', 'a', 'tedious', 'calculation', 'involving', 'explicit', 'regularization', 'and', 'evaluation', 'of', 'emerging', 'counterterms', 'however', 'simple', 'kosyakovs', 'method', 'works', 'nicely', 'in', 'any', 'dimension', 'for', 'the', 'special', 'case', 'of', 'circular', 'motion', 'with', 'constant', 'angular', 'velocity']] | [-0.1266437505890446, 0.13346144679764455, -0.05921066746602512, 0.05571188461114864, -0.08799891135210848, -0.16361200769791717, -0.002518732576969672, 0.34497683631806547, -0.2202166319105097, -0.3427485114132816, 0.07688307881603991, -0.20274024544315497, -0.14244926946280015, 0.22312096430687234, -0.09178317506501282, 0.04592900350689888, 0.06509579653026197, 0.03976663872229189, -0.04719211314328608, -0.238937015846287, 0.34220205408267, 0.01667275518940931, 0.2363627024566416, 0.0848065314295871, 0.08200779981085692, 0.04982812324967447, -0.04088064502205022, 0.05589154089631682, -0.10846303897431592, 0.08832849634663117, 0.22875799764138224, 0.08597958478499508, 0.21351149182936008, -0.43731017952615564, -0.2126591981716708, 0.10848556534090842, 0.18722987940153954, 0.16199749170945407, -0.016199897091031413, -0.20956631874485704, 0.06041940049247139, -0.1500384617512199, -0.18602676653112707, -0.12823756999304434, 0.03538524604995142, -0.018195444100208326, -0.281081587629656, 0.11966996810356663, 0.04741045673885806, 0.05781964489936151, -0.05847158733377, -0.08603945539983794, 0.005529588887425648, 0.11635208401209886, 0.08711314291047695, 0.031905298190064386, 0.1134688124822622, -0.13775694759202783, -0.0821929326153953, 0.37803738678022375, -0.04357515119590971, -0.2605249550807374, 0.18062386464920233, -0.1567810562344014, -0.16838169992181726, 0.15618286667185285, 0.12988660728627688, 0.13618353973619046, -0.12096181880174713, 0.10839675067241346, -0.003602010695348409, 0.1374819650399414, 0.16042065643705428, -0.014147274081716949, 0.16296007556163453, 0.08007098958742889, 0.05615686390294947, 0.10451001562813128, -0.06719516621987251, -0.06297759300849232, -0.35629477676808496, -0.1298490960404954, -0.1896269296147776, 0.08454157062822726, -0.13369058122275004, -0.1507805774295279, 0.296902387720448, 0.14683218750129032, 0.20597779988417064, 0.04812652243179565, 0.3307733223773539, 0.10335185204563789, 0.10914657264947891, 0.06604832113953307, 0.2371505483222956, 0.08237868535996479, 0.08282431010262702, -0.18293988051961854, 0.021275428219021043, 0.0903459581525319] |
710.5677 | Chiral constituent quark model study of the process $\gamma p \to \eta
p$ | A constituent quark model is developed for the reaction, allowing us to
investigate all available data for differential cross sections as well as
single polarization asymmetries (beam and target) by including {\it all} of the
PDG, one to four star, nucleon resonances ($S_{11}$, $P_{11}$, $P_{13}$,
$D_{13}$, $D_{15}$, $F_{15}$, $F_{17}$, $G_{17}$, $G_{19}$, $H_{19}$,
$I_{1,11}$, and $K_{1,13}$). Issues related to the missing resonances are also
briefly discussed by examining possible contributions from several new
resonances ($S_{11}$, $P_{11}$, $P_{13}$, $D_{13}$, $ D_{15}$, and $H_{1,11}$).
| nucl-th | a constituent quark model is developed for the reaction allowing us to investigate all available data for differential cross sections as well as single polarization asymmetries beam and target by including it all of the pdg one to four star nucleon resonances s_11 p_11 p_13 d_13 d_15 f_15 f_17 g_17 g_19 h_19 i_111 and k_113 issues related to the missing resonances are also briefly discussed by examining possible contributions from several new resonances s_11 p_11 p_13 d_13 d_15 and h_111 | [['a', 'constituent', 'quark', 'model', 'is', 'developed', 'for', 'the', 'reaction', 'allowing', 'us', 'to', 'investigate', 'all', 'available', 'data', 'for', 'differential', 'cross', 'sections', 'as', 'well', 'as', 'single', 'polarization', 'asymmetries', 'beam', 'and', 'target', 'by', 'including', 'it', 'all', 'of', 'the', 'pdg', 'one', 'to', 'four', 'star', 'nucleon', 'resonances', 's_11', 'p_11', 'p_13', 'd_13', 'd_15', 'f_15', 'f_17', 'g_17', 'g_19', 'h_19', 'i_111', 'and', 'k_113', 'issues', 'related', 'to', 'the', 'missing', 'resonances', 'are', 'also', 'briefly', 'discussed', 'by', 'examining', 'possible', 'contributions', 'from', 'several', 'new', 'resonances', 's_11', 'p_11', 'p_13', 'd_13', 'd_15', 'and', 'h_111']] | [-0.06896947936590325, 0.16097015904431994, -0.000922337319178797, 0.1658965803081073, -0.08561859611276683, -0.14488366007345257, 0.004782557644724072, 0.30921790835919316, -0.1576325102382666, -0.2663902033410676, 0.0173792695874566, -0.38283884589403094, -0.0545720693159413, 0.16082876123330714, 0.06297640532690596, 0.11192106991377357, 0.04176321825921209, -0.009926219183540383, 0.0569630469030749, -0.15090907703897638, 0.32031078216946357, -0.005381582353215713, 0.1240958007197682, 0.1522375954641634, 0.04422860621783108, 0.034419063267044046, -0.034146825238675266, -0.13801446759033126, -0.14887654622895763, 0.049212148642868964, 0.29530748159718373, 0.08962604464954008, 0.09498035834570016, -0.322936432484489, -0.0971500256458636, 0.01859636405216796, 0.2054735402661291, 0.11899411834945733, 0.000318787834764301, -0.33281241076720225, 0.060204568161786376, -0.19993629253336362, -0.13668810266565967, -0.1111029384464219, 0.03318100833854118, 0.0060487675734541635, -0.2785072742247736, 0.08172442264780826, -0.0026994328053861665, 0.015650637314787934, -0.0257899900701792, -0.32410475745942297, -0.07416344425858712, 0.0678841491205642, 0.06850192078552511, 0.03777495301940914, 0.11611476292011219, -0.10425062539576033, -0.1757282784039324, 0.3830671678115795, -0.025948192135055923, -0.16732058267399377, 0.06817992614557991, -0.18340887863479263, -0.12175703698817592, 0.16210992079131403, 0.14688483330227628, 0.09108784953895775, -0.19000290654140053, 0.01530650881944563, -0.010940737326859266, 0.1344460984631502, 0.17817682127601334, 0.05904776964626916, 0.12558122154615528, 0.12811002496542265, -0.05318708140886836, 0.03896134409618068, -0.10801781765971478, -0.06014314034497124, -0.31835800128710734, -0.05861673710033201, -0.010787916844468805, 0.047039420017367835, 0.020104494656991007, -0.06381524261087179, 0.3550068958142361, 0.021878162157032397, 0.26012498407032003, -0.05395379140005483, 0.29119877309187664, 0.051648603096096354, 0.09285241533554607, 0.02256107592937089, 0.22797235222110016, 0.23527335391875792, 0.09242467317343145, -0.23096106977008476, -0.009501985195637136, -0.047880890764078345] |
710.5678 | The Universality of Dynamic Multiscaling in Homogeneous, Isotropic
Turbulence | We systematise the study of dynamic multiscaling of time-dependent structure
functions in different models of passive-scalar and fluid turbulence. We show
that, by suitably normalising these structure functions, we can eliminate their
dependence on the origin of time at which we start our measurements and that
these normalised structure functions yield the same linear bridge relations
that relate the dynamic-multiscaling and equal-time exponents for statistically
steady turbulence. We show analytically, for both the Kraichnan Model of
passive-scalar turbulence and its shell model analogue, and numerically, for
the GOY shell model of fluid turbulence and a shell model for passive-scalar
turbulence, that these exponents and bridge relations are the same for
statistically steady and decaying turbulence. Thus we provide strong evidence
for dynamic universality, i.e., dynamic-multiscaling exponents do not depend on
whether the turbulence decays or is statistically steady.
| nlin.CD cond-mat.stat-mech physics.flu-dyn | we systematise the study of dynamic multiscaling of timedependent structure functions in different models of passivescalar and fluid turbulence we show that by suitably normalising these structure functions we can eliminate their dependence on the origin of time at which we start our measurements and that these normalised structure functions yield the same linear bridge relations that relate the dynamicmultiscaling and equaltime exponents for statistically steady turbulence we show analytically for both the kraichnan model of passivescalar turbulence and its shell model analogue and numerically for the goy shell model of fluid turbulence and a shell model for passivescalar turbulence that these exponents and bridge relations are the same for statistically steady and decaying turbulence thus we provide strong evidence for dynamic universality ie dynamicmultiscaling exponents do not depend on whether the turbulence decays or is statistically steady | [['we', 'systematise', 'the', 'study', 'of', 'dynamic', 'multiscaling', 'of', 'timedependent', 'structure', 'functions', 'in', 'different', 'models', 'of', 'passivescalar', 'and', 'fluid', 'turbulence', 'we', 'show', 'that', 'by', 'suitably', 'normalising', 'these', 'structure', 'functions', 'we', 'can', 'eliminate', 'their', 'dependence', 'on', 'the', 'origin', 'of', 'time', 'at', 'which', 'we', 'start', 'our', 'measurements', 'and', 'that', 'these', 'normalised', 'structure', 'functions', 'yield', 'the', 'same', 'linear', 'bridge', 'relations', 'that', 'relate', 'the', 'dynamicmultiscaling', 'and', 'equaltime', 'exponents', 'for', 'statistically', 'steady', 'turbulence', 'we', 'show', 'analytically', 'for', 'both', 'the', 'kraichnan', 'model', 'of', 'passivescalar', 'turbulence', 'and', 'its', 'shell', 'model', 'analogue', 'and', 'numerically', 'for', 'the', 'goy', 'shell', 'model', 'of', 'fluid', 'turbulence', 'and', 'a', 'shell', 'model', 'for', 'passivescalar', 'turbulence', 'that', 'these', 'exponents', 'and', 'bridge', 'relations', 'are', 'the', 'same', 'for', 'statistically', 'steady', 'and', 'decaying', 'turbulence', 'thus', 'we', 'provide', 'strong', 'evidence', 'for', 'dynamic', 'universality', 'ie', 'dynamicmultiscaling', 'exponents', 'do', 'not', 'depend', 'on', 'whether', 'the', 'turbulence', 'decays', 'or', 'is', 'statistically', 'steady']] | [-0.10039701017165603, 0.1693238615685993, -0.1345424855008141, 0.1516490489509348, -0.012986904286873945, -0.11543148520834529, 0.003513526519848223, 0.36243473481896427, -0.2865391410077396, -0.2552995785810998, 0.040243803472021944, -0.24495436852052133, -0.14097149055484898, 0.1895151636352344, 0.08071554706691751, 0.08386322464819228, 0.016790687374811132, -0.06579550169049796, -0.053500246924712606, -0.14566718939981976, 0.3511004096733919, 0.04975015186853167, 0.2875972109951376, 0.042270521650198796, 0.062437257513511875, -0.0840145209669203, -0.037088505117276654, 0.06005319666144424, -0.2069089964457764, 0.02322751010660136, 0.1487103759667187, 0.08133785053412768, 0.2039544637284606, -0.444888180297246, -0.22865302978164476, 0.08783517434410211, 0.17835156737988733, 0.08371609970387342, 0.00788548196821163, -0.24631405853922816, 0.08869438108893624, -0.1671411307491497, -0.1197673123341688, -0.10153258670723754, 0.041033664630537016, 0.07484846393091847, -0.2614512796462277, 0.16669680808495352, 0.08361590850720371, 0.06792441654302504, -0.1253399654262888, -0.06322526294684065, -0.029746327888342024, 0.1358163569011199, 0.05111025733226531, -0.023027904556078862, 0.10894837112341454, -0.1739786048149825, -0.08032184828450714, 0.3410012609379339, -0.06841851475452869, -0.245969546229943, 0.21081719719602363, -0.19760374521391225, -0.1205204952309124, 0.10319640336598715, 0.18638742302773872, 0.03480427455076057, -0.10343606420581741, 0.05353302208443537, -0.08910083766702724, 0.1736751741837656, 0.02222284478088166, -0.026331479556561597, 0.19409714951483614, 0.1028533678204901, -0.007904848783189242, 0.09721454713365782, -0.0717978280145621, -0.12601602342877322, -0.3336038811915163, -0.13858823888206287, -0.14356040832100678, 0.03859985465417107, -0.11844800711201126, -0.212736995904234, 0.37994069860829716, 0.16171089062750663, 0.15468049007535412, 0.13156423293496144, 0.2293073578697184, 0.13783956171634296, 0.0016637005171725068, 0.1586938552605663, 0.27806491800246463, 0.1435295484599023, 0.09598200076489129, -0.23446539735111097, 0.09652551629013666, 0.06664837794918296] |
710.5679 | Casimir torque between corrugated metallic plates | We consider two parallel corrugated plates and show that a Casimir torque
arises when the corrugation directions are not aligned. We follow the
scattering approach and calculate the Casimir energy up to second order in the
corrugation amplitudes, taking into account nonspecular reflections,
polarization mixing and the finite conductivity of the metals. We compare our
results with the proximity force approximation, which overestimates the torque
by a factor 2 when taking the conditions that optimize the effect. We argue
that the Casimir torque could be measured for separation distances as large as
1 $\mu{\rm m}.$
| quant-ph | we consider two parallel corrugated plates and show that a casimir torque arises when the corrugation directions are not aligned we follow the scattering approach and calculate the casimir energy up to second order in the corrugation amplitudes taking into account nonspecular reflections polarization mixing and the finite conductivity of the metals we compare our results with the proximity force approximation which overestimates the torque by a factor 2 when taking the conditions that optimize the effect we argue that the casimir torque could be measured for separation distances as large as 1 murm m | [['we', 'consider', 'two', 'parallel', 'corrugated', 'plates', 'and', 'show', 'that', 'a', 'casimir', 'torque', 'arises', 'when', 'the', 'corrugation', 'directions', 'are', 'not', 'aligned', 'we', 'follow', 'the', 'scattering', 'approach', 'and', 'calculate', 'the', 'casimir', 'energy', 'up', 'to', 'second', 'order', 'in', 'the', 'corrugation', 'amplitudes', 'taking', 'into', 'account', 'nonspecular', 'reflections', 'polarization', 'mixing', 'and', 'the', 'finite', 'conductivity', 'of', 'the', 'metals', 'we', 'compare', 'our', 'results', 'with', 'the', 'proximity', 'force', 'approximation', 'which', 'overestimates', 'the', 'torque', 'by', 'a', 'factor', '2', 'when', 'taking', 'the', 'conditions', 'that', 'optimize', 'the', 'effect', 'we', 'argue', 'that', 'the', 'casimir', 'torque', 'could', 'be', 'measured', 'for', 'separation', 'distances', 'as', 'large', 'as', '1', 'murm', 'm']] | [-0.1714067599883205, 0.1878693861445706, -0.07220734025008585, 0.04966130801231453, -0.05168215254640305, -0.08943494900963024, -0.004372483031137993, 0.3949976188277728, -0.28383424240164457, -0.2930892256627742, 0.017857843925441173, -0.28330618510218825, -0.12021945365949681, 0.1969535652915702, 0.03111582411159026, -0.026495982093834563, 0.028590049867910382, -0.03152697137311885, -0.09190466167944435, -0.19688007544088912, 0.3214056401562534, 0.0020610090002025428, 0.2788873237998862, 0.11451065553058135, 0.06033892492322545, 0.028149620990121835, 0.03797379190494356, 0.08534834408446362, -0.1464940920066989, 0.05278205756392134, 0.17323004087972405, -0.07623563020637161, 0.17753326275238865, -0.45741163296134846, -0.18514533754450416, 0.04019879862960232, 0.09662478917621468, 0.1278574665800031, -0.005564228690376407, -0.23853007227574524, 0.05236047658530113, -0.16135360630915352, -0.10988350908124918, -0.057504266868100354, 0.04634196633031886, 0.0055099911497611745, -0.2845595317990764, 0.0699199210227418, 0.07583190247441005, 0.011017549283018237, -0.10004836562530775, -0.14834415864101366, -0.01726868442308746, 0.13994452308581554, 0.09806147474967139, 0.03643122901649851, 0.1645739571411947, -0.07724863980700702, -0.07240271705545877, 0.4127721556486856, -0.08720561694476361, -0.1768424903777869, 0.131868771375402, -0.20231591460944495, -0.01753708232488287, 0.11605767698860482, 0.17556693390207856, 0.0707694831451303, -0.12648691199873083, 0.05321566301067115, 0.02418167436936576, 0.14341796821865596, 0.13823005809497677, -0.03633206692083101, 0.21123326563913572, 0.12397265003283361, 0.051080381742825635, 0.139648691878507, -0.1531770357469979, -0.03210344516770228, -0.307884451335198, -0.14584307070625455, -0.19770940264784975, 0.0591827410740447, -0.1090272864058773, -0.14234227622418028, 0.30505688520834634, 0.18413577436126377, 0.2210171333857273, 0.0696027797119888, 0.3465580867309319, 0.14871975091702647, 0.13941353701153084, 0.07031001785377923, 0.32724580668697234, 0.14059577016895147, 0.0675232658162713, -0.2867789528115138, 0.02104615517156689, 0.0160473121330142] |
710.568 | Current-driven vortex oscillations in metallic nanocontacts | We present experimental evidence of sub-GHz spin-transfer oscillations in
metallic nano-contacts that are due to the translational motion of a magnetic
vortex. The vortex is shown to execute large-amplitude orbital motion outside
the contact region. Good agreement with analytical theory and micromagnetics
simulations is found.
| cond-mat.mtrl-sci | we present experimental evidence of subghz spintransfer oscillations in metallic nanocontacts that are due to the translational motion of a magnetic vortex the vortex is shown to execute largeamplitude orbital motion outside the contact region good agreement with analytical theory and micromagnetics simulations is found | [['we', 'present', 'experimental', 'evidence', 'of', 'subghz', 'spintransfer', 'oscillations', 'in', 'metallic', 'nanocontacts', 'that', 'are', 'due', 'to', 'the', 'translational', 'motion', 'of', 'a', 'magnetic', 'vortex', 'the', 'vortex', 'is', 'shown', 'to', 'execute', 'largeamplitude', 'orbital', 'motion', 'outside', 'the', 'contact', 'region', 'good', 'agreement', 'with', 'analytical', 'theory', 'and', 'micromagnetics', 'simulations', 'is', 'found']] | [-0.25491845721327183, 0.15338319540023804, -0.07780204941001204, 0.022501941656486855, -0.09434118369697697, -0.10788029120821092, 0.004798436436491708, 0.42599516697227957, -0.21628044421474138, -0.3026674153076278, 0.016629266270643307, -0.26340676642244537, -0.14779010365406672, 0.234855889239245, -0.011186442654191827, 0.061925559557696234, 0.11553166738400857, -0.010773820761177276, 0.0005188890060202943, -0.11206783978268504, 0.1717214543889794, 0.026445860353608925, 0.3099436427363091, 0.04872023935119311, 0.03711460472808944, -0.07764156560103098, 0.06000021080382996, 0.07044058026125034, -0.20049502338758127, 0.04971827742540174, 0.21478955720861753, -0.12320319269266393, 0.16434846508006254, -0.5259452138923937, -0.18009931075697144, -0.02474411215322713, 0.21541306036007074, 0.21105882914529905, -0.07073185168620613, -0.2912533081654045, 0.06476578820082876, -0.15431931795448892, -0.16433633853577906, -0.14798757609807783, 0.0924641250529223, 0.055048249579138224, -0.2679695111802883, 0.14577649152941174, 0.05268879180981053, 0.09308114728579918, -0.13282110998407007, -0.04321182070093022, -0.06789815087492267, 0.047813754086382686, 0.08050708691072132, 0.08914086823351682, 0.17655127261144418, -0.09064461922066079, -0.1272660956200626, 0.3809360654817687, -0.008332527635826006, -0.14504572339355945, 0.19162977648278076, -0.2162222972036236, -0.017494716133094498, 0.21886395803756184, 0.07409915265937646, 0.055755569092515445, -0.11212416297445695, 0.015043808114973621, -0.036093292675084536, 0.16180924478426784, 0.04538861522451043, -0.017631181568948603, 0.2979749097592301, 0.19384104801962773, -0.0012025229011972745, 0.11918498954425255, -0.1624276159538163, -0.1701929275981254, -0.27508689740465747, -0.08406071991970142, -0.18442808150624235, -0.006643751041135854, -0.020300576835547368, -0.17698337942969777, 0.3315309052459068, 0.1737377611713277, 0.13934298737052206, -0.023815153187347782, 0.2921569786965847, 0.07224938376910156, 0.03356897963417901, 0.08257361062698894, 0.3025551391972436, 0.20171819616419573, 0.1423999297950003, -0.35910243681735465, 0.03549527619034052, -0.02095453975101312] |
710.5681 | q-Hardy-Berndt type sums associated with q-Genocchi type zeta and
l-functions | The aim of this paper is to define new generating functions. By applying the
Mellin transformation formula to these generating functions, we define
q-analogue of Genocchi zeta function, q-analogue Hurwitz type Genocchi zeta
function, q-analogue Genocchi type l-function and two-variable q-Genocchi type
l-function. Furthermore, we construct new genereting functions of
q-Hardy-Berndt type sums and q-Hardy-Berndt type sums attached to Dirichlet
character. We also give some new relations related to q-Hardy-Berndt type sums
and q-Genocchi zeta function as well.
| math.NT | the aim of this paper is to define new generating functions by applying the mellin transformation formula to these generating functions we define qanalogue of genocchi zeta function qanalogue hurwitz type genocchi zeta function qanalogue genocchi type lfunction and twovariable qgenocchi type lfunction furthermore we construct new genereting functions of qhardyberndt type sums and qhardyberndt type sums attached to dirichlet character we also give some new relations related to qhardyberndt type sums and qgenocchi zeta function as well | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'define', 'new', 'generating', 'functions', 'by', 'applying', 'the', 'mellin', 'transformation', 'formula', 'to', 'these', 'generating', 'functions', 'we', 'define', 'qanalogue', 'of', 'genocchi', 'zeta', 'function', 'qanalogue', 'hurwitz', 'type', 'genocchi', 'zeta', 'function', 'qanalogue', 'genocchi', 'type', 'lfunction', 'and', 'twovariable', 'qgenocchi', 'type', 'lfunction', 'furthermore', 'we', 'construct', 'new', 'genereting', 'functions', 'of', 'qhardyberndt', 'type', 'sums', 'and', 'qhardyberndt', 'type', 'sums', 'attached', 'to', 'dirichlet', 'character', 'we', 'also', 'give', 'some', 'new', 'relations', 'related', 'to', 'qhardyberndt', 'type', 'sums', 'and', 'qgenocchi', 'zeta', 'function', 'as', 'well']] | [-0.19323778205684253, -0.011487339115278288, -0.1511668169314598, 0.21331687671338, -0.23409664118057721, -0.16138176514779207, 0.06913957406022864, 0.22897199183315425, -0.37093790465748155, -0.20602166798425378, -0.009879316427055505, -0.24520961983830897, -0.2705682203318779, 0.2435847170554198, -0.10975228173827584, 0.04927331582921279, -0.04646845834704672, -0.007874758115836553, -0.1534069022708028, -0.3103921687254658, 0.4661217633779947, -0.06000226115590179, 0.18064079237738986, 0.02161041573415716, 0.05799543747509068, 0.050839562982006314, -0.021329532710037062, -0.1779853854473535, -0.22096741871980877, 0.15076325505415533, 0.2577824125235731, 0.08395164124909546, 0.23395838172404798, -0.3097720785042295, -0.010479796163786154, 0.198841048235243, 0.16390345219595284, -0.10811894224932442, 0.027932298200374298, -0.22888182836596843, 0.03401245017136846, -0.2622215047768958, -0.23732498725997164, -0.1308266276179196, 0.030119544058409217, 0.23404248369791145, -0.33274793673258324, 0.11571969809107953, -0.030279692200423737, 0.10312544647604227, -0.061453873122280296, -0.2882247222224613, 0.12612244089787172, 0.004122646422693868, 0.06680566017733669, 0.07206098153558257, -0.006761283510933061, -0.1248065991200168, -0.11463741164702873, 0.25372335964257453, -0.030952771925276703, -0.2675315925924035, 0.05433134191560668, -0.1935776465862699, -0.2530124145136638, 0.008872555919572131, 0.10362016360045641, 0.20025819784344792, -0.07023991072284323, 0.038028399179562584, -0.10128450356181953, 0.043440863780387036, 0.2560323922737659, -0.005458932890036664, 0.16992014824328097, -0.07992725492781633, -0.06089488323777914, 0.30166844146737415, -0.006250491521514759, -0.007677076529566344, -0.3671899078921838, -0.26342992882498284, -0.15159597406284764, 0.1421253037481726, -0.14040091774043137, -0.27171116261803485, 0.41588994367169096, 0.061152723617851734, 0.13966241679698616, 0.2515851863986486, 0.11621074538750502, 0.2831568092745789, 0.11560883237556978, -0.10457116897012313, -0.07599179765214091, 0.287981575016271, 0.04276095581083716, -0.07316820010204207, 0.0060740239833566275, 0.4085534461652981] |
710.5682 | The ATESP 5 GHz radio survey. II. Physical properties of the faint radio
population | One of the most debated issues about sub-mJy radio sources, which are
responsible for the steepening of the 1.4 GHz source counts, is the origin of
their radio emission. Particularly interesting is the possibility of combining
radio spectral index information with other observational properties to assess
whether the sources are triggered by star formation or nuclear activity. The
aim of this work is to study the optical and near infrared properties of a
complete sample of 131 radio sources with S>0.4 mJy, observed at both 1.4 and 5
GHz as part of the ATESP radio survey. We use deep multi-colour (UBVRIJK)
images, mostly taken in the framework of the ESO Deep Public Survey, to
optically identify and derive photometric redshifts for the ATESP radio
sources. Deep optical coverage and extensive colour information are available
for 3/4 of the region covered by the radio sample. Typical depths of the images
are U~25, B~26, V~25.4, R~25.5, I~24.3, 19.5<K_s<20.2, J<22.2. Optical/near
infrared counterparts are found for ~78% (66/85) of the radio sources in the
region covered by the deep multi-colour imaging, and for 56 of these reliable
estimates of the redshift and type are derived. We find that many of the
sources with flat radio spectra are characterised by high radio-to-optical
ratios (R>1000), typical of classical powerful radio galaxies and quasars.
Flat-spectrum sources with low R values are preferentially identified with
early type galaxies, where the radio emission is most probably triggered by
low-luminosity active galactic nuclei. Considering both early type galaxies and
quasars as sources with an active nucleus, such sources largely dominate our
sample (78%). Flat-spectrum sources associated with early type galaxies are
quite compact (d<10-30 kpc), suggesting core-dominated radio emission.
| astro-ph | one of the most debated issues about submjy radio sources which are responsible for the steepening of the 14 ghz source counts is the origin of their radio emission particularly interesting is the possibility of combining radio spectral index information with other observational properties to assess whether the sources are triggered by star formation or nuclear activity the aim of this work is to study the optical and near infrared properties of a complete sample of 131 radio sources with s04 mjy observed at both 14 and 5 ghz as part of the atesp radio survey we use deep multicolour ubvrijk images mostly taken in the framework of the eso deep public survey to optically identify and derive photometric redshifts for the atesp radio sources deep optical coverage and extensive colour information are available for 34 of the region covered by the radio sample typical depths of the images are u25 b26 v254 r255 i243 195k_s202 j222 opticalnear infrared counterparts are found for 78 6685 of the radio sources in the region covered by the deep multicolour imaging and for 56 of these reliable estimates of the redshift and type are derived we find that many of the sources with flat radio spectra are characterised by high radiotooptical ratios r1000 typical of classical powerful radio galaxies and quasars flatspectrum sources with low r values are preferentially identified with early type galaxies where the radio emission is most probably triggered by lowluminosity active galactic nuclei considering both early type galaxies and quasars as sources with an active nucleus such sources largely dominate our sample 78 flatspectrum sources associated with early type galaxies are quite compact d1030 kpc suggesting coredominated radio emission | [['one', 'of', 'the', 'most', 'debated', 'issues', 'about', 'submjy', 'radio', 'sources', 'which', 'are', 'responsible', 'for', 'the', 'steepening', 'of', 'the', '14', 'ghz', 'source', 'counts', 'is', 'the', 'origin', 'of', 'their', 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'considering', 'both', 'early', 'type', 'galaxies', 'and', 'quasars', 'as', 'sources', 'with', 'an', 'active', 'nucleus', 'such', 'sources', 'largely', 'dominate', 'our', 'sample', '78', 'flatspectrum', 'sources', 'associated', 'with', 'early', 'type', 'galaxies', 'are', 'quite', 'compact', 'd1030', 'kpc', 'suggesting', 'coredominated', 'radio', 'emission']] | [-0.059138583804541914, 0.0858979105251441, -0.012517457913750116, 0.11477956247820185, -0.11133062473522078, -0.09114671259078394, 0.0606883364320855, 0.48285167913775157, -0.12841511474426048, -0.3540245089454774, 0.12910943820926635, -0.3243759782308454, -0.027967436115910047, 0.22077023344331959, -0.003621651951000978, -0.06262205954063063, 0.0017637282781588445, -0.1411429403165362, 0.021862634337621055, -0.21943757007999795, 0.2855802510446957, 0.10278038624852529, 0.24046530896125626, -0.04941983193871935, 0.05980640444241763, -0.09975437267622264, -0.16419574556817865, -0.032790620978683724, -0.07308288987859915, 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710.5683 | The random case of Conley's theorem: II. The complete Lyapunov function | Conley in \cite{Con} constructed a complete Lyapunov function for a flow on
compact metric space which is constant on orbits in the chain recurrent set and
is strictly decreasing on orbits outside the chain recurrent set. This
indicates that the dynamical complexity focuses on the chain recurrent set and
the dynamical behavior outside the chain recurrent set is quite simple. In this
paper, a similar result is obtained for random dynamical systems under the
assumption that the base space $(\Omega,\mathcal F,\mathbb P)$ is a separable
metric space endowed with a probability measure. By constructing a complete
Lyapunov function, which is constant on orbits in the random chain recurrent
set and is strictly decreasing on orbits outside the random chain recurrent
set, the random case of Conley's fundamental theorem of dynamical systems is
obtained. Furthermore, this result for random dynamical systems is generalized
to noncompact state spaces.
| math.DS math.PR | conley in citecon constructed a complete lyapunov function for a flow on compact metric space which is constant on orbits in the chain recurrent set and is strictly decreasing on orbits outside the chain recurrent set this indicates that the dynamical complexity focuses on the chain recurrent set and the dynamical behavior outside the chain recurrent set is quite simple in this paper a similar result is obtained for random dynamical systems under the assumption that the base space omegamathcal fmathbb p is a separable metric space endowed with a probability measure by constructing a complete lyapunov function which is constant on orbits in the random chain recurrent set and is strictly decreasing on orbits outside the random chain recurrent set the random case of conleys fundamental theorem of dynamical systems is obtained furthermore this result for random dynamical systems is generalized to noncompact state spaces | [['conley', 'in', 'citecon', 'constructed', 'a', 'complete', 'lyapunov', 'function', 'for', 'a', 'flow', 'on', 'compact', 'metric', 'space', 'which', 'is', 'constant', 'on', 'orbits', 'in', 'the', 'chain', 'recurrent', 'set', 'and', 'is', 'strictly', 'decreasing', 'on', 'orbits', 'outside', 'the', 'chain', 'recurrent', 'set', 'this', 'indicates', 'that', 'the', 'dynamical', 'complexity', 'focuses', 'on', 'the', 'chain', 'recurrent', 'set', 'and', 'the', 'dynamical', 'behavior', 'outside', 'the', 'chain', 'recurrent', 'set', 'is', 'quite', 'simple', 'in', 'this', 'paper', 'a', 'similar', 'result', 'is', 'obtained', 'for', 'random', 'dynamical', 'systems', 'under', 'the', 'assumption', 'that', 'the', 'base', 'space', 'omegamathcal', 'fmathbb', 'p', 'is', 'a', 'separable', 'metric', 'space', 'endowed', 'with', 'a', 'probability', 'measure', 'by', 'constructing', 'a', 'complete', 'lyapunov', 'function', 'which', 'is', 'constant', 'on', 'orbits', 'in', 'the', 'random', 'chain', 'recurrent', 'set', 'and', 'is', 'strictly', 'decreasing', 'on', 'orbits', 'outside', 'the', 'random', 'chain', 'recurrent', 'set', 'the', 'random', 'case', 'of', 'conleys', 'fundamental', 'theorem', 'of', 'dynamical', 'systems', 'is', 'obtained', 'furthermore', 'this', 'result', 'for', 'random', 'dynamical', 'systems', 'is', 'generalized', 'to', 'noncompact', 'state', 'spaces']] | [-0.20127108643367275, 0.13566556168809432, -0.07456892796422113, 0.0810011594846513, -0.04959390063017403, -0.12538092349072255, 0.06410121061753048, 0.367493433367512, -0.28337189218361086, -0.142568800716393, 0.12024414969914377, -0.2649871318103516, -0.16838746844178498, 0.23024065119584333, -0.08772961336047683, 0.06789491353684092, 0.08880902828061826, 0.10381647131456802, -0.058292029808237125, -0.2451459793405837, 0.3938212546149958, -0.012426358709041642, 0.23790159475772757, -0.044945971079071834, 0.11355638912917204, 0.05728326638673523, 0.023343563909093812, 0.02951085806305182, -0.12255544744303198, 0.09539989656960107, 0.16354908437263985, 0.11519019058841752, 0.2711861744165829, -0.3174921967318817, -0.24810255903189313, 0.15325697427232787, 0.09991691907714695, 0.050163150709186206, 0.005662605620933416, -0.2963085994299833, 0.1355815190592245, -0.15983730054473225, -0.1459079862967746, -0.06383885836391391, 0.07305408876440296, 0.02057192054073237, -0.2833426318654459, 0.0042115667267153935, 0.12873145918284498, 0.07919063869296024, -0.06890451990878083, -0.04227062675157842, -0.027453339075006238, 0.07372991930157559, -0.001827216064493644, 0.11715453455211876, 0.12422996907086711, 0.0018016019667026727, -0.08486074661797754, 0.3326616049935556, -0.07440173506580472, -0.27535878271119646, 0.21259261530103188, -0.15238594459624935, -0.17812068227117192, 0.11321589176715288, 0.17978990870234493, 0.12926072575636718, -0.15292939463987537, 0.14994322455508877, -0.09952612508770894, 0.1488320725465238, 0.030365511226429515, -0.0005498633286214038, 0.1830803655241042, 0.19480657298755769, 0.14944848446303036, 0.14279330650397118, 0.00848525165171962, -0.15684120102637217, -0.28047788437864146, -0.10534060363058154, -0.2237471326522223, 0.109655671695579, -0.12057552396685399, -0.24012315309006874, 0.38108063845461465, 0.034025949400915724, 0.21710733594755605, 0.1571582037196431, 0.2371304444841122, 0.10767873469879691, 0.0014612020785945837, 0.09556010902431883, 0.14588422291873865, 0.15228874606960643, 0.03346385089170239, -0.1642272553940093, 0.06536946475066481, 0.16224000390861437] |
710.5684 | Why Does the Rouse Model Works at Least Satisfactorily at Polymer
Molecular Masses M<M_c ? | Generalization of the Rouse model without any use of the postulates
concerning the Gaussian distribution of the vector connecting the ends of
segments is advanced. In the initial (in general, nonlinear) Langevin
equations, self-averaging over continuous fragments of a macromolecule
naturally defines a linear term for the tagged chain, and this term differs
from the entropy term of the classical Rouse model only by the numerical
coefficient. According to the inertia-free approximation, the initial decay
rates of correlation functions for the normal modes are described by the Rouse
model independently of the character of fluctuations of the vector connecting
the ends of the Kuhn segment. This statement is valid for any moment if the
initial Langevin equations are treated in terms of the approximation of dynamic
self-consistency. Simulation of the Fraenkel chains by the method of Brownian
dynamics shows that decay of autocorrelation functions of shortwave normal
modes is fairly described by the linearized equations for a given model of a
chain and that the Rouse equation can be used for the longwave modes. The
results of this study make it possible to explain a marked difference between
the lengths of the Kuhn and Rouse segments that is estimated from static and
dynamic experiments.
| cond-mat.soft cond-mat.mtrl-sci | generalization of the rouse model without any use of the postulates concerning the gaussian distribution of the vector connecting the ends of segments is advanced in the initial in general nonlinear langevin equations selfaveraging over continuous fragments of a macromolecule naturally defines a linear term for the tagged chain and this term differs from the entropy term of the classical rouse model only by the numerical coefficient according to the inertiafree approximation the initial decay rates of correlation functions for the normal modes are described by the rouse model independently of the character of fluctuations of the vector connecting the ends of the kuhn segment this statement is valid for any moment if the initial langevin equations are treated in terms of the approximation of dynamic selfconsistency simulation of the fraenkel chains by the method of brownian dynamics shows that decay of autocorrelation functions of shortwave normal modes is fairly described by the linearized equations for a given model of a chain and that the rouse equation can be used for the longwave modes the results of this study make it possible to explain a marked difference between the lengths of the kuhn and rouse segments that is estimated from static and dynamic experiments | [['generalization', 'of', 'the', 'rouse', 'model', 'without', 'any', 'use', 'of', 'the', 'postulates', 'concerning', 'the', 'gaussian', 'distribution', 'of', 'the', 'vector', 'connecting', 'the', 'ends', 'of', 'segments', 'is', 'advanced', 'in', 'the', 'initial', 'in', 'general', 'nonlinear', 'langevin', 'equations', 'selfaveraging', 'over', 'continuous', 'fragments', 'of', 'a', 'macromolecule', 'naturally', 'defines', 'a', 'linear', 'term', 'for', 'the', 'tagged', 'chain', 'and', 'this', 'term', 'differs', 'from', 'the', 'entropy', 'term', 'of', 'the', 'classical', 'rouse', 'model', 'only', 'by', 'the', 'numerical', 'coefficient', 'according', 'to', 'the', 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710.5685 | Simultaneous inhomogeneous Diophantine approximation on manifolds | In 1998, Kleinbock & Margulis established a conjecture of V.G. Sprindzuk in
metrical Diophantine approximation (and indeed the stronger Baker-Sprindzuk
conjecture). In essence the conjecture stated that the simultaneous homogeneous
Diophantine exponent $w_{0}(\vv x) = 1/n$ for almost every point $\vv x$ on a
non-degenerate submanifold $\cM$ of $\R^n$. In this paper the simultaneous
inhomogeneous analogue of Sprindzuk's conjecture is established. More
precisely, for any `inhomogeneous' vector $\bm\theta\in\R^n$ we prove that the
simultaneous inhomogeneous Diophantine exponent $w_{0}(\vv x, \bm\theta)= 1/n$
for almost every point $\vv x$ on $M$. The key result is an inhomogeneous
transference principle which enables us to deduce that the homogeneous exponent
$w_0(\vv x)=1/n$ for almost all $\vv x\in \cM$ if and only if for any
$\bm\theta\in\R^n$ the inhomogeneous exponent $w_0(\vv x,\bm\theta)=1/n$ for
almost all $\vv x\in \cM$. The inhomogeneous transference principle introduced
in this paper is an extremely simplified version of that recently discovered in
\cite{Beresnevich-Velani-new-inhom}. Nevertheless, it should be emphasised that
the simplified version has the great advantage of bringing to the forefront the
main ideas of \cite{Beresnevich-Velani-new-inhom} while omitting the abstract
and technical notions that come with describing the inhomogeneous transference
principle in all its glory.
| math.NT | in 1998 kleinbock margulis established a conjecture of vg sprindzuk in metrical diophantine approximation and indeed the stronger bakersprindzuk conjecture in essence the conjecture stated that the simultaneous homogeneous diophantine exponent w_0vv x 1n for almost every point vv x on a nondegenerate submanifold cm of rn in this paper the simultaneous inhomogeneous analogue of sprindzuks conjecture is established more precisely for any inhomogeneous vector bmthetainrn we prove that the simultaneous inhomogeneous diophantine exponent w_0vv x bmtheta 1n for almost every point vv x on m the key result is an inhomogeneous transference principle which enables us to deduce that the homogeneous exponent w_0vv x1n for almost all vv xin cm if and only if for any bmthetainrn the inhomogeneous exponent w_0vv xbmtheta1n for almost all vv xin cm the inhomogeneous transference principle introduced in this paper is an extremely simplified version of that recently discovered in citeberesnevichvelaninewinhom nevertheless it should be emphasised that the simplified version has the great advantage of bringing to the forefront the main ideas of citeberesnevichvelaninewinhom while omitting the abstract and technical notions that come with describing the inhomogeneous transference principle in all its glory | [['in', '1998', 'kleinbock', 'margulis', 'established', 'a', 'conjecture', 'of', 'vg', 'sprindzuk', 'in', 'metrical', 'diophantine', 'approximation', 'and', 'indeed', 'the', 'stronger', 'bakersprindzuk', 'conjecture', 'in', 'essence', 'the', 'conjecture', 'stated', 'that', 'the', 'simultaneous', 'homogeneous', 'diophantine', 'exponent', 'w_0vv', 'x', '1n', 'for', 'almost', 'every', 'point', 'vv', 'x', 'on', 'a', 'nondegenerate', 'submanifold', 'cm', 'of', 'rn', 'in', 'this', 'paper', 'the', 'simultaneous', 'inhomogeneous', 'analogue', 'of', 'sprindzuks', 'conjecture', 'is', 'established', 'more', 'precisely', 'for', 'any', 'inhomogeneous', 'vector', 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710.5686 | Generalizing Planck's Law: Nonequilibrium Emission of Excited Media | Using a quantum-kinetic many-body approach, exact results for the interacting
system of field and matter in a specified geometry are presented. It is shown
that both the spectral function of photons and the field fluctuations split up
into vacuum- and medium-induced contributions, for which explicit expressions
are derived. Using Poynting's theorem, the incoherent emission is analyzed and
related to the coherent absorption as may be measured in a linear
transmission-reflection experiment. Their ratio defines the medium-induced
population of the modes of the transverse electromagnetic field and so
generalizes Planck's law to an arbitrarily absorbing and dispersing medium in a
nonequilibrium steady state. For quasi-equilibrium, this population develops
into a Bose distribution whose chemical potential marks the crossover from
absorption to gain and, also, characterizes the degree of excitation.
Macroscopic quantum phenomena such as lasing and quantum condensation are
discussed on this footing.
| cond-mat.str-el physics.optics | using a quantumkinetic manybody approach exact results for the interacting system of field and matter in a specified geometry are presented it is shown that both the spectral function of photons and the field fluctuations split up into vacuum and mediuminduced contributions for which explicit expressions are derived using poyntings theorem the incoherent emission is analyzed and related to the coherent absorption as may be measured in a linear transmissionreflection experiment their ratio defines the mediuminduced population of the modes of the transverse electromagnetic field and so generalizes plancks law to an arbitrarily absorbing and dispersing medium in a nonequilibrium steady state for quasiequilibrium this population develops into a bose distribution whose chemical potential marks the crossover from absorption to gain and also characterizes the degree of excitation macroscopic quantum phenomena such as lasing and quantum condensation are discussed on this footing | [['using', 'a', 'quantumkinetic', 'manybody', 'approach', 'exact', 'results', 'for', 'the', 'interacting', 'system', 'of', 'field', 'and', 'matter', 'in', 'a', 'specified', 'geometry', 'are', 'presented', 'it', 'is', 'shown', 'that', 'both', 'the', 'spectral', 'function', 'of', 'photons', 'and', 'the', 'field', 'fluctuations', 'split', 'up', 'into', 'vacuum', 'and', 'mediuminduced', 'contributions', 'for', 'which', 'explicit', 'expressions', 'are', 'derived', 'using', 'poyntings', 'theorem', 'the', 'incoherent', 'emission', 'is', 'analyzed', 'and', 'related', 'to', 'the', 'coherent', 'absorption', 'as', 'may', 'be', 'measured', 'in', 'a', 'linear', 'transmissionreflection', 'experiment', 'their', 'ratio', 'defines', 'the', 'mediuminduced', 'population', 'of', 'the', 'modes', 'of', 'the', 'transverse', 'electromagnetic', 'field', 'and', 'so', 'generalizes', 'plancks', 'law', 'to', 'an', 'arbitrarily', 'absorbing', 'and', 'dispersing', 'medium', 'in', 'a', 'nonequilibrium', 'steady', 'state', 'for', 'quasiequilibrium', 'this', 'population', 'develops', 'into', 'a', 'bose', 'distribution', 'whose', 'chemical', 'potential', 'marks', 'the', 'crossover', 'from', 'absorption', 'to', 'gain', 'and', 'also', 'characterizes', 'the', 'degree', 'of', 'excitation', 'macroscopic', 'quantum', 'phenomena', 'such', 'as', 'lasing', 'and', 'quantum', 'condensation', 'are', 'discussed', 'on', 'this', 'footing']] | [-0.11729692668624511, 0.20663807032276094, -0.14856522399145114, 0.07702678168179389, -0.013803659715283086, -0.11716212775282772, 0.017890274424669922, 0.3579304106795872, -0.24360447965601695, -0.26836087517965007, 0.016126265068059708, -0.2743436387300649, -0.08577747084528313, 0.17672466699191383, 0.029354213044608116, 0.05127727799117565, -0.017855553389330144, 0.0037104384104629426, 0.0004087680890093702, -0.14666151966814372, 0.33755381384365996, 0.045350332031170774, 0.28534723578257043, 0.1017587819123562, 0.12250927371681261, 0.007633107450370952, 0.004838851336258608, 0.024015596466020903, -0.10405248630010813, 0.0608413196234426, 0.2512706824132359, 0.07295401883147605, 0.20126768175355145, -0.3928039983885599, -0.21263711721124784, 0.06379869670777673, 0.1585847813897179, 0.16116403868261225, -0.04345336689984321, -0.2937579813059157, -0.0064355214060822005, -0.16041323144087638, -0.16085256484638846, -0.06521406149963888, 0.0066675854786168, 0.02887866509960256, -0.26595527946647307, 0.09407108753872871, 0.07197311377680769, 0.02911110251197513, -0.0831769783686007, -0.08761040374397261, -0.027532953878825293, 0.09580975669947728, 0.01383514207145068, 0.007942749167674444, 0.17866541959122348, -0.15609763216302716, -0.09230388891489678, 0.3792095457295507, -0.08296365729487226, -0.1504388026053637, 0.16403817420441683, -0.1643737937540183, -0.04900400537561337, 0.18926842925860218, 0.15243425253740983, 0.08360069073720476, -0.1552848116245488, 0.05743999748562895, -0.018999289809791764, 0.14583983161237868, 0.06867686149165769, 0.1061363572018667, 0.22736876352991855, 0.11473223836485848, 0.004216961324883913, 0.17366446208243233, -0.04871100108434354, -0.13593573512142182, -0.3201719424228223, -0.13774349864057436, -0.21496904208439624, 0.11300030773715444, -0.059682564124441215, -0.18324997298428494, 0.39917609787506747, 0.1133244743539532, 0.17016265057945545, 0.03821403865331889, 0.29071943753097257, 0.19288282655999328, 0.018663533856685628, 0.06121276389532001, 0.27327342395191934, 0.2044215843894742, 0.10045165048164487, -0.264927741541842, 0.005803246070748903, 0.021344816822125773] |
710.5687 | The random case of Conley's theorem: III. Random semiflow case and Morse
decomposition | In the first part of this paper, we generalize the results of the author
\cite{Liu,Liu2} from the random flow case to the random semiflow case, i.e. we
obtain Conley decomposition theorem for infinite dimensional random dynamical
systems. In the second part, by introducing the backward orbit for random
semiflow, we are able to decompose invariant random compact set (e.g. global
random attractor) into random Morse sets and connecting orbits between them,
which generalizes the Morse decomposition of invariant sets originated from
Conley \cite{Con} to the random semiflow setting and gives the positive answer
to an open problem put forward by Caraballo and Langa \cite{CL}.
| math.DS math.PR | in the first part of this paper we generalize the results of the author citeliuliu2 from the random flow case to the random semiflow case ie we obtain conley decomposition theorem for infinite dimensional random dynamical systems in the second part by introducing the backward orbit for random semiflow we are able to decompose invariant random compact set eg global random attractor into random morse sets and connecting orbits between them which generalizes the morse decomposition of invariant sets originated from conley citecon to the random semiflow setting and gives the positive answer to an open problem put forward by caraballo and langa citecl | [['in', 'the', 'first', 'part', 'of', 'this', 'paper', 'we', 'generalize', 'the', 'results', 'of', 'the', 'author', 'citeliuliu2', 'from', 'the', 'random', 'flow', 'case', 'to', 'the', 'random', 'semiflow', 'case', 'ie', 'we', 'obtain', 'conley', 'decomposition', 'theorem', 'for', 'infinite', 'dimensional', 'random', 'dynamical', 'systems', 'in', 'the', 'second', 'part', 'by', 'introducing', 'the', 'backward', 'orbit', 'for', 'random', 'semiflow', 'we', 'are', 'able', 'to', 'decompose', 'invariant', 'random', 'compact', 'set', 'eg', 'global', 'random', 'attractor', 'into', 'random', 'morse', 'sets', 'and', 'connecting', 'orbits', 'between', 'them', 'which', 'generalizes', 'the', 'morse', 'decomposition', 'of', 'invariant', 'sets', 'originated', 'from', 'conley', 'citecon', 'to', 'the', 'random', 'semiflow', 'setting', 'and', 'gives', 'the', 'positive', 'answer', 'to', 'an', 'open', 'problem', 'put', 'forward', 'by', 'caraballo', 'and', 'langa', 'citecl']] | [-0.13001662215199505, 0.10936345047640757, -0.12535020408432673, 0.0698930270690932, -0.07712691525310868, -0.12197651250845762, 0.06328241326177658, 0.2994693410628946, -0.31820986996690676, -0.19756596300308363, 0.0900723129225028, -0.26551799022472733, -0.15638684194608785, 0.16336114896406043, -0.1223256121018422, 0.09204524382948875, 0.03664190715321773, 0.018431613734683557, -0.0017602862790226936, -0.24828904176287647, 0.4210636854116427, -0.05137687464161675, 0.20172896557994704, -0.005957149884359228, 0.11457375804478727, 0.06210438149178972, -0.08434076621058849, 0.01897155693593887, -0.1298343269776848, 0.14320529496532375, 0.2268645528849159, 0.08370096461460141, 0.26515101814310593, -0.3742280263398396, -0.18264890174003373, 0.16792187704197545, 0.10062533668470039, 0.09767365809599178, -0.018057460195873634, -0.3525703529237152, 0.1373981528092489, -0.12388449805756423, -0.15742885339359688, -0.08679295233957986, 0.0436616323998954, 0.01774582648096551, -0.277657651155726, 0.00940051738467842, 0.14142506616045997, 0.04204210164117636, -0.08115006883693214, -0.04581381057822468, -0.03588810730909947, 0.13601689962301367, 0.04034783758285839, 0.04753945613773263, 0.07292013265893306, 0.0069677861199782245, -0.1419687720896252, 0.3552199498114019, -0.09126165230172954, -0.25314390303401074, 0.17432325783803468, -0.12813729418460096, -0.1972042757298539, 0.09860490393677339, 0.19411868765249407, 0.08967254680378528, -0.11881504482635767, 0.13836899308296438, -0.09449328046919096, 0.07922619014475864, 0.1345296401465957, -0.02758624553127159, 0.13467037911517638, 0.079694308063919, 0.1687543872227468, 0.2108831790645865, -0.003028475092481914, -0.13045857300852784, -0.27847276131926785, -0.10580637536500351, -0.17391666606308356, 0.12808942748694727, -0.10986483138988813, -0.20865192439517763, 0.4003996697835403, 0.12024955675732067, 0.22257482455951152, 0.12088511441719008, 0.2512487579588917, 0.12525205782255605, -0.05992759880840336, 0.11112553894630459, 0.11957130673811725, 0.2116229905617783, 0.0958080445001326, -0.11012020943908823, -0.001955407459547024, 0.24326904242544775] |
710.5688 | Self-Interaction and Regularization of Classical Electrodynamics in
Higher Dimensions | The classical electrodynamic system of field and a single point-like source
is considered in even-dimensional space-time. The problem of self-interaction
is discussed. It is manifestly shown that all singular terms appearing in these
equations can be regularized. Relations between formulae for radiation and
radiation friction are discussed.
| hep-th | the classical electrodynamic system of field and a single pointlike source is considered in evendimensional spacetime the problem of selfinteraction is discussed it is manifestly shown that all singular terms appearing in these equations can be regularized relations between formulae for radiation and radiation friction are discussed | [['the', 'classical', 'electrodynamic', 'system', 'of', 'field', 'and', 'a', 'single', 'pointlike', 'source', 'is', 'considered', 'in', 'evendimensional', 'spacetime', 'the', 'problem', 'of', 'selfinteraction', 'is', 'discussed', 'it', 'is', 'manifestly', 'shown', 'that', 'all', 'singular', 'terms', 'appearing', 'in', 'these', 'equations', 'can', 'be', 'regularized', 'relations', 'between', 'formulae', 'for', 'radiation', 'and', 'radiation', 'friction', 'are', 'discussed']] | [-0.18712224293886584, 0.1322914954862233, -0.07752916894536069, 0.13681301985560182, -0.06358162695145671, -0.16035668885810894, -0.12195963198517232, 0.33563327605023663, -0.23863473269058036, -0.2771965079802148, 0.05767837759018182, -0.30874102376401424, -0.1803816389688786, 0.22730648357104113, -0.06687091526753725, 0.05481543730785872, -0.007273690794852186, 0.07216595102874364, -0.0546544275613145, -0.22119644533922064, 0.36021400290600797, 0.0290789192819849, 0.21379004200880833, 0.07617605494414555, 0.11555826489595657, 0.0008278361947691821, -0.03273301296173892, 0.07868621169411122, -0.055878780416412366, 0.03263878102780894, 0.25105643454701343, 0.05583853365734537, 0.17770260764890292, -0.4239439555701423, -0.24343136646487612, 0.09144973796495098, 0.15081767901342283, 0.11596760066582802, -0.027594785444462297, -0.26024585823587915, 0.03876871045956269, -0.15117161983792532, -0.15321184149844216, -0.06564116295664868, 0.04773524200712192, -0.007474868211578181, -0.2352712264958214, 0.12043320159725052, 0.040583339559429506, -0.029196425479777317, -0.12923542056430845, -0.08971418139395958, -0.003964499719044629, 0.0704149217741128, 0.08486487732288685, 0.037440403201121915, 0.12699330839863482, -0.1344705586856667, -0.08223380306933789, 0.4268881260328233, -0.04014824857400294, -0.3037991793231761, 0.12624119737363876, -0.1377875953813658, -0.0732738236064448, 0.1379950545490422, 0.08918623043660154, 0.15473523292135685, -0.22818137534913865, 0.13622956891157764, -0.02517765746550991, 0.08869162968240996, 0.10825710376090508, 0.0691925909053138, 0.24572056175229398, 0.07823561611486242, -0.025049564081858447, 0.1660024345173758, -0.01840221092223804, -0.13205644087073334, -0.3923402805911734, -0.12531752971080232, -0.16043232020951728, 0.057099545473589544, -0.12047268280776792, -0.18980442962616662, 0.2752529481782558, 0.1226266297905587, 0.06672599759111379, -0.0005553776517193368, 0.2765411264560324, 0.22656377075993, 0.04594325484272013, 0.06531162246903206, 0.32093971478257405, 0.1789086235419629, 0.062443611968464735, -0.2147863993391474, -0.029072048221813872, 0.11179939876409604] |
710.5689 | On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super
Yang-Mills | Employing a twisted superspace with eight supercharges, we describe an
off-shell formulation of N=4 D=3 twisted super Yang-Mills in the continuum
spacetime which underlies the recent proposal of N=4 D=3 twisted super
Yang-Mills on a lattice (arXiv:0707.3533[hep-lat]). By a dimensional reduction
from the N=2 D=4, we explore the two possible topological twists of N=4 D=3 and
then show that the lattice formulation given in arXiv:0707.3533[hep-lat] is
essentially categorized as the B-type. We also show that, amongst the two
inequivalent twists of N=4 D=3, only the B-type SYM can be realized on the
lattice consistently with the Leibniz rule and the gauge covariance on the
lattice.
| hep-th hep-lat | employing a twisted superspace with eight supercharges we describe an offshell formulation of n4 d3 twisted super yangmills in the continuum spacetime which underlies the recent proposal of n4 d3 twisted super yangmills on a lattice arxiv07073533heplat by a dimensional reduction from the n2 d4 we explore the two possible topological twists of n4 d3 and then show that the lattice formulation given in arxiv07073533heplat is essentially categorized as the btype we also show that amongst the two inequivalent twists of n4 d3 only the btype sym can be realized on the lattice consistently with the leibniz rule and the gauge covariance on the lattice | [['employing', 'a', 'twisted', 'superspace', 'with', 'eight', 'supercharges', 'we', 'describe', 'an', 'offshell', 'formulation', 'of', 'n4', 'd3', 'twisted', 'super', 'yangmills', 'in', 'the', 'continuum', 'spacetime', 'which', 'underlies', 'the', 'recent', 'proposal', 'of', 'n4', 'd3', 'twisted', 'super', 'yangmills', 'on', 'a', 'lattice', 'arxiv07073533heplat', 'by', 'a', 'dimensional', 'reduction', 'from', 'the', 'n2', 'd4', 'we', 'explore', 'the', 'two', 'possible', 'topological', 'twists', 'of', 'n4', 'd3', 'and', 'then', 'show', 'that', 'the', 'lattice', 'formulation', 'given', 'in', 'arxiv07073533heplat', 'is', 'essentially', 'categorized', 'as', 'the', 'btype', 'we', 'also', 'show', 'that', 'amongst', 'the', 'two', 'inequivalent', 'twists', 'of', 'n4', 'd3', 'only', 'the', 'btype', 'sym', 'can', 'be', 'realized', 'on', 'the', 'lattice', 'consistently', 'with', 'the', 'leibniz', 'rule', 'and', 'the', 'gauge', 'covariance', 'on', 'the', 'lattice']] | [-0.11257060999683674, 0.20922758519433063, -0.03231188158495623, 0.048140123302288784, -0.033176060322925305, -0.15635810118367516, -0.032390715940900656, 0.3735626858559627, -0.1324890518687593, -0.20476473836246337, 0.114751596363189, -0.25404188657649657, -0.22101387048809273, 0.07890171697815355, -0.05593130187791528, 0.02309194476189978, 0.021348299182842947, 0.07365018101544707, -0.13913070272656555, -0.34197122908369143, 0.330887240909257, -0.06765321935120139, 0.26368892119600645, 0.02789420629082953, 0.10968929930653387, 0.01771881962104619, 0.0052128996591544845, 0.02802593455405779, -0.08341757120811538, 0.17736682586950583, 0.19406371145934156, 0.02435969664868944, 0.035439514817254054, -0.45368592243967126, -0.1933644705788838, 0.0019645761219260183, 0.1844882369312702, 0.12726883173725811, 0.0530856172949781, -0.24106007360500617, 0.02051664812454176, -0.17994426263188854, -0.17956888860710943, -0.08902150437742182, 0.018506980412956148, -0.13716791177765258, -0.24683734000597185, 0.02953066748936516, 0.04882148642870553, 0.08155129292473487, -0.037401637021741534, -0.11490084842136762, -0.13770704580814513, 0.049848984452235755, 0.06058518317962083, 0.06896291304271197, 0.06176567536516531, -0.1956700200848061, -0.19776785870543817, 0.39051717056811436, -0.04333378673865668, -0.20531479256607374, 0.1704729103926316, -0.16938465466107994, -0.24775938769730116, 0.08078936590514715, 0.04312828239234327, 0.1856733035449915, -0.08729968299564805, 0.2173408493026639, -0.11647011761924306, 0.13627165249431306, 0.13042482047215176, 0.003350496867409392, 0.22741882418038198, 0.0860942234511225, 0.05697164496461165, 0.1940862263261241, -0.02030247969109818, -0.11075402594689117, -0.42804476785138973, -0.15632140149986282, -0.12325406962219011, 0.16226375707000204, -0.1761033558238691, -0.1390703390397638, 0.34867587736220035, 0.09044787317720124, 0.1655395956420638, 0.03312756888030404, 0.14124130833333412, 0.10184114647789597, 0.10604889426850578, 0.06980390033856468, 0.23584222083784712, 0.17921398775606842, 0.03485910601470873, -0.29840786200134284, -0.22852946604371469, 0.2643553948988324] |
710.569 | The Acceleration History of the Universe and the Properties of the Dark
Energy | The model-independent method of using type Ia supernovae proposed and
developed by Daly and Djorgovski (2003, 2004) has been applied to the Riess et
al. (2007) supernovae sample. Assuming only a Robertson-Walker metric, we find
that the universe is accelerating today. This result is purely kinematic, is
independent of the contents of the universe, and does not require that a theory
of gravity be specified. Our model-independent method allows a determination of
q(z) for a particular value of space curvature. When q(z) transitions from
negative to positive values, the universe transitions from an accelerating to a
decelerating state. For zero space curvature, we find that the universe
transitions from acceleration to deceleration at a zedshift of about = 0.35 for
the Riess et al. (2007) sample. If a theory of gravity is specified, the
supernovae data can be used to determine the pressure, energy density, and
equation of state of the dark energy, and the potential and kinetic energy
density of a dark energy scalar field as functions of redshift. The relevant
equations from General Relativity are applied, and these functions are
obtained. The results are consistent with predictions in the standard Lambda
Cold Dark Matter model at about the two sigma level.
| astro-ph | the modelindependent method of using type ia supernovae proposed and developed by daly and djorgovski 2003 2004 has been applied to the riess et al 2007 supernovae sample assuming only a robertsonwalker metric we find that the universe is accelerating today this result is purely kinematic is independent of the contents of the universe and does not require that a theory of gravity be specified our modelindependent method allows a determination of qz for a particular value of space curvature when qz transitions from negative to positive values the universe transitions from an accelerating to a decelerating state for zero space curvature we find that the universe transitions from acceleration to deceleration at a zedshift of about 035 for the riess et al 2007 sample if a theory of gravity is specified the supernovae data can be used to determine the pressure energy density and equation of state of the dark energy and the potential and kinetic energy density of a dark energy scalar field as functions of redshift the relevant equations from general relativity are applied and these functions are obtained the results are consistent with predictions in the standard lambda cold dark matter model at about the two sigma level | [['the', 'modelindependent', 'method', 'of', 'using', 'type', 'ia', 'supernovae', 'proposed', 'and', 'developed', 'by', 'daly', 'and', 'djorgovski', '2003', '2004', 'has', 'been', 'applied', 'to', 'the', 'riess', 'et', 'al', '2007', 'supernovae', 'sample', 'assuming', 'only', 'a', 'robertsonwalker', 'metric', 'we', 'find', 'that', 'the', 'universe', 'is', 'accelerating', 'today', 'this', 'result', 'is', 'purely', 'kinematic', 'is', 'independent', 'of', 'the', 'contents', 'of', 'the', 'universe', 'and', 'does', 'not', 'require', 'that', 'a', 'theory', 'of', 'gravity', 'be', 'specified', 'our', 'modelindependent', 'method', 'allows', 'a', 'determination', 'of', 'qz', 'for', 'a', 'particular', 'value', 'of', 'space', 'curvature', 'when', 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710.5691 | Stability of Yang-Mills fields system in the homogeneous
(anti-)self-dual background field | Stability of Yang-Mills fields system in the background field is investigated
basing on Toda criterion, Poincare sections and the values of the maximal
Lyapunov exponents. The existence of the region of regular motion at low
densities of energy is demonstrated. Critical energy density of the order-chaos
transition is analyzed for the different values of the model parameter.
| nlin.CD | stability of yangmills fields system in the background field is investigated basing on toda criterion poincare sections and the values of the maximal lyapunov exponents the existence of the region of regular motion at low densities of energy is demonstrated critical energy density of the orderchaos transition is analyzed for the different values of the model parameter | [['stability', 'of', 'yangmills', 'fields', 'system', 'in', 'the', 'background', 'field', 'is', 'investigated', 'basing', 'on', 'toda', 'criterion', 'poincare', 'sections', 'and', 'the', 'values', 'of', 'the', 'maximal', 'lyapunov', 'exponents', 'the', 'existence', 'of', 'the', 'region', 'of', 'regular', 'motion', 'at', 'low', 'densities', 'of', 'energy', 'is', 'demonstrated', 'critical', 'energy', 'density', 'of', 'the', 'orderchaos', 'transition', 'is', 'analyzed', 'for', 'the', 'different', 'values', 'of', 'the', 'model', 'parameter']] | [-0.1960608294486934, 0.1459810628326969, -0.0812514944720948, 0.07450001652295325, 0.04023460950293954, -0.07400430577169907, 0.0034093451849593406, 0.2731227721761618, -0.19449421537942008, -0.25585975125432014, 0.10995893069877893, -0.2397106577429855, -0.08004410383536627, 0.18224562385544313, 0.030547352486776123, 0.0886068191637669, -0.03755128814985877, 0.10836949911409695, -0.08991976606806643, -0.2009450422044386, 0.3684616418097887, 0.07249393472611382, 0.34075018980850774, 0.08320322729189668, 0.1128138402933122, -0.010955307751142403, 0.031594841062957256, 0.029520929227338025, -0.20466492096321626, 0.06799798255394164, 0.20319143617362306, 0.04341569558406869, 0.2082859850570298, -0.3337687665694638, -0.21836586389690638, 0.09583774514153208, 0.09367276697926093, 0.05454883180771088, 0.0015796861966679756, -0.27979373474392977, 0.08311901380422346, -0.0962766089492984, -0.2005374528336943, -0.042471107728615926, 0.058098364427375294, 0.06344878036332757, -0.2814729944067566, 0.14131903386952585, -0.0017894455701472204, 0.10755510896182897, -0.158105529599676, -0.11186871655375223, -0.11547760597609899, 0.09666158896952606, 0.07208634161578263, -0.005385052085968486, 0.14853213603297868, -0.18253647406961312, -0.07383081352076772, 0.32395875865691587, -0.03225017691504929, -0.18999309645018034, 0.14809820771609483, -0.20241152219016822, -0.08851493484945151, 0.19657234223396108, 0.1494175302305896, 0.13145268857152315, -0.10250876909285261, 0.1582078972801754, 0.00109041910904476, 0.14013732744282797, 0.06942903923622348, 0.01435854253277444, 0.18520975740332352, 0.14655280425294973, 0.06231290402642468, 0.12379995881367409, -0.10232120841790579, -0.16767482350890836, -0.3481233126173417, -0.13605515014282182, -0.17426773474404686, 0.032360452537735306, -0.13740448641418193, -0.16023827140758695, 0.42111930638355644, 0.11018738461037476, 0.1955466814290144, 0.042907484463955224, 0.21917393738240526, 0.19997578491701892, 0.020887273314752076, 0.04516656315280942, 0.29513412196058453, 0.2019030215512765, 0.09960452935315277, -0.23789846419209712, -0.007051552261895778, 0.15604119900238225] |
710.5692 | Describing general cosmological singularities in Iwasawa variables | Belinskii, Khalatnikov, and Lifshitz (BKL) conjectured that the description
of the asymptotic behavior of a generic solution of Einstein equations near a
spacelike singularity could be drastically simplified by considering that the
time derivatives of the metric asymptotically dominate (except at a sequence of
instants, in the `chaotic case') over the spatial derivatives. We present a
precise formulation of the BKL conjecture (in the chaotic case) that consists
of basically three elements: (i) we parametrize the spatial metric $g_{ij}$ by
means of \it{Iwasawa variables} $\beta^a, {\cal N}^a{}_i$); (ii) we define, at
each spatial point, a (chaotic) \it{asymptotic evolution system} made of
ordinary differential equations for the Iwasawa variables; and (iii) we
characterize the exact Einstein solutions $\beta, {\cal{N}}$ whose asymptotic
behavior is described by a solution $\beta_{[0]}, {\cal N}_{[0]}$ of the
previous evolution system by means of a `\it{generalized Fuchsian system}' for
the differenced variables $\bar \beta = \beta - \beta_{[0]}$, $\bar {\cal N} =
{\cal N} - {\cal N}_{[0]}$, and by requiring that $\bar \beta$ and $\bar {\cal
N}$ tend to zero on the singularity. We also show that, in spite of the
apparently chaotic infinite succession of `Kasner epochs' near the singularity,
there exists a well-defined \it{asymptotic geometrical structure} on the
singularity : it is described by a \it{partially framed flag}. Our treatment
encompasses Einstein-matter systems (comprising scalar and p-forms), and also
shows how the use of Iwasawa variables can simplify the usual (`asymptotically
velocity term dominated') description of non-chaotic systems.
| gr-qc hep-th | belinskii khalatnikov and lifshitz bkl conjectured that the description of the asymptotic behavior of a generic solution of einstein equations near a spacelike singularity could be drastically simplified by considering that the time derivatives of the metric asymptotically dominate except at a sequence of instants in the chaotic case over the spatial derivatives we present a precise formulation of the bkl conjecture in the chaotic case that consists of basically three elements i we parametrize the spatial metric g_ij by means of itiwasawa variables betaa cal na_i ii we define at each spatial point a chaotic itasymptotic evolution system made of ordinary differential equations for the iwasawa variables and iii we characterize the exact einstein solutions beta caln whose asymptotic behavior is described by a solution beta_0 cal n_0 of the previous evolution system by means of a itgeneralized fuchsian system for the differenced variables bar beta beta beta_0 bar cal n cal n cal n_0 and by requiring that bar beta and bar cal n tend to zero on the singularity we also show that in spite of the apparently chaotic infinite succession of kasner epochs near the singularity there exists a welldefined itasymptotic geometrical structure on the singularity it is described by a itpartially framed flag our treatment encompasses einsteinmatter systems comprising scalar and pforms and also shows how the use of iwasawa variables can simplify the usual asymptotically velocity term dominated description of nonchaotic systems | [['belinskii', 'khalatnikov', 'and', 'lifshitz', 'bkl', 'conjectured', 'that', 'the', 'description', 'of', 'the', 'asymptotic', 'behavior', 'of', 'a', 'generic', 'solution', 'of', 'einstein', 'equations', 'near', 'a', 'spacelike', 'singularity', 'could', 'be', 'drastically', 'simplified', 'by', 'considering', 'that', 'the', 'time', 'derivatives', 'of', 'the', 'metric', 'asymptotically', 'dominate', 'except', 'at', 'a', 'sequence', 'of', 'instants', 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'cal', 'n_0', 'and', 'by', 'requiring', 'that', 'bar', 'beta', 'and', 'bar', 'cal', 'n', 'tend', 'to', 'zero', 'on', 'the', 'singularity', 'we', 'also', 'show', 'that', 'in', 'spite', 'of', 'the', 'apparently', 'chaotic', 'infinite', 'succession', 'of', 'kasner', 'epochs', 'near', 'the', 'singularity', 'there', 'exists', 'a', 'welldefined', 'itasymptotic', 'geometrical', 'structure', 'on', 'the', 'singularity', 'it', 'is', 'described', 'by', 'a', 'itpartially', 'framed', 'flag', 'our', 'treatment', 'encompasses', 'einsteinmatter', 'systems', 'comprising', 'scalar', 'and', 'pforms', 'and', 'also', 'shows', 'how', 'the', 'use', 'of', 'iwasawa', 'variables', 'can', 'simplify', 'the', 'usual', 'asymptotically', 'velocity', 'term', 'dominated', 'description', 'of', 'nonchaotic', 'systems']] | [-0.19776301773903282, 0.1143541091256213, -0.11730936375659376, 0.05633231687082524, -0.021752559772596276, -0.1624694176656515, -0.00658823766721541, 0.26042754837444276, -0.2185330365579736, 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710.5693 | Threshold resummation to any order in (1-x) | A simple ansatz is suggested for the structure of threshold resummation of
the momentum space physical evolution kernels (`physical anomalous dimensions')
at all orders in (1-x), taking as examples Deep Inelastic Scattering (F_2(x,
Q^2) and F_L(x, Q^2)) and the Drell-Yan process. Each term in the expansion is
associated to a distinct renormalization group and scheme invariant
perturbative object (`physical Sudakov anomalous dimension') depending on a
single momentum scale variable. Both logarithmically enhanced terms and
constant terms are captured by the ansatz at any order in the expansion. The
ansatz is motivated by a large--beta_0 dispersive calculation. A dispersive
representation at finite beta_0 of the physical Sudakov anomalous dimensions is
also obtained, associated to a set of `Sudakov effective charges' which
encapsulate the non-Abelian nature of the interaction. It is found that the
dispersive representation requires a non-trivial, and process-dependent, choice
of variables in the (x,Q^2) plane. Some interesting properties of the physical
Sudakov anomalous dimensions are pointed out. The ensuing 1/N expansion in
moment space is straightforwardly derived from the momentum space expansion.
| hep-ph | a simple ansatz is suggested for the structure of threshold resummation of the momentum space physical evolution kernels physical anomalous dimensions at all orders in 1x taking as examples deep inelastic scattering f_2x q2 and f_lx q2 and the drellyan process each term in the expansion is associated to a distinct renormalization group and scheme invariant perturbative object physical sudakov anomalous dimension depending on a single momentum scale variable both logarithmically enhanced terms and constant terms are captured by the ansatz at any order in the expansion the ansatz is motivated by a largebeta_0 dispersive calculation a dispersive representation at finite beta_0 of the physical sudakov anomalous dimensions is also obtained associated to a set of sudakov effective charges which encapsulate the nonabelian nature of the interaction it is found that the dispersive representation requires a nontrivial and processdependent choice of variables in the xq2 plane some interesting properties of the physical sudakov anomalous dimensions are pointed out the ensuing 1n expansion in moment space is straightforwardly derived from the momentum space expansion | [['a', 'simple', 'ansatz', 'is', 'suggested', 'for', 'the', 'structure', 'of', 'threshold', 'resummation', 'of', 'the', 'momentum', 'space', 'physical', 'evolution', 'kernels', 'physical', 'anomalous', 'dimensions', 'at', 'all', 'orders', 'in', '1x', 'taking', 'as', 'examples', 'deep', 'inelastic', 'scattering', 'f_2x', 'q2', 'and', 'f_lx', 'q2', 'and', 'the', 'drellyan', 'process', 'each', 'term', 'in', 'the', 'expansion', 'is', 'associated', 'to', 'a', 'distinct', 'renormalization', 'group', 'and', 'scheme', 'invariant', 'perturbative', 'object', 'physical', 'sudakov', 'anomalous', 'dimension', 'depending', 'on', 'a', 'single', 'momentum', 'scale', 'variable', 'both', 'logarithmically', 'enhanced', 'terms', 'and', 'constant', 'terms', 'are', 'captured', 'by', 'the', 'ansatz', 'at', 'any', 'order', 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-0.25920663489098794, 0.045739527745979884, 0.15979968702872796] |
710.5694 | The ideal relativistic spinning gas: polarization and spectra | We study the physics of the ideal relativistic rotating gas at
thermodynamical equilibrium and provide analytical expressions of the momentum
spectra and polarization vector for the case of massive particles with spin 1/2
and 1. We show that the finite angular momentum J entails an anisotropy in
momentum spectra, with particles emitted orthogonally to J having, on average,
a larger momentum than along its direction. Unlike in the non-relativistic
case, the proper polarization vector turns out not to be aligned with the total
angular momentum with a non-trivial momentum dependence.
| nucl-th cond-mat.stat-mech | we study the physics of the ideal relativistic rotating gas at thermodynamical equilibrium and provide analytical expressions of the momentum spectra and polarization vector for the case of massive particles with spin 12 and 1 we show that the finite angular momentum j entails an anisotropy in momentum spectra with particles emitted orthogonally to j having on average a larger momentum than along its direction unlike in the nonrelativistic case the proper polarization vector turns out not to be aligned with the total angular momentum with a nontrivial momentum dependence | [['we', 'study', 'the', 'physics', 'of', 'the', 'ideal', 'relativistic', 'rotating', 'gas', 'at', 'thermodynamical', 'equilibrium', 'and', 'provide', 'analytical', 'expressions', 'of', 'the', 'momentum', 'spectra', 'and', 'polarization', 'vector', 'for', 'the', 'case', 'of', 'massive', 'particles', 'with', 'spin', '12', 'and', '1', 'we', 'show', 'that', 'the', 'finite', 'angular', 'momentum', 'j', 'entails', 'an', 'anisotropy', 'in', 'momentum', 'spectra', 'with', 'particles', 'emitted', 'orthogonally', 'to', 'j', 'having', 'on', 'average', 'a', 'larger', 'momentum', 'than', 'along', 'its', 'direction', 'unlike', 'in', 'the', 'nonrelativistic', 'case', 'the', 'proper', 'polarization', 'vector', 'turns', 'out', 'not', 'to', 'be', 'aligned', 'with', 'the', 'total', 'angular', 'momentum', 'with', 'a', 'nontrivial', 'momentum', 'dependence']] | [-0.15257196162064146, 0.2037197688453792, -0.07886685979966489, 0.011662965499110417, -0.07082574498943156, -0.08580292242372202, -0.02782675051647756, 0.3847273877511422, -0.20720462560032804, -0.2865421490536796, -0.033092731814314096, -0.30925698988139627, 0.042547630311714275, 0.15524397445842625, 0.0675582789298561, -0.007021229140486362, 0.0342570502931873, 0.029806046630579255, -0.10837650561653492, -0.16252149797769055, 0.31994736834118764, 0.10767975443353256, 0.24206705856098173, 0.027370826123903194, 0.14260992738418282, 0.08522867451732358, -0.04073609393607411, 0.04746627622904877, -0.14499107126652638, 0.044009719333714906, 0.1702985634484018, -0.0015219209043102133, 0.1769683085485465, -0.36697719246149063, -0.15148301630591351, 0.10554112261937311, 0.15514250209348068, 0.11621034777619772, -0.030773150399585978, -0.195202939129538, 0.03318462558608088, -0.17248834657172363, -0.21008239054095207, -0.08863172454035116, 0.07796666375102682, 0.0378550916729081, -0.24951237633358686, 0.12086075957761043, 0.09977964378065533, 0.05321679029406773, -0.08961628189232822, -0.15829716822546389, -0.13233673891776965, 0.026190113327983353, 0.0894127419942783, 0.07535144647117704, 0.12120334445498884, -0.12285073376260698, -0.08329059801374873, 0.3993747952290707, -0.07570170020480874, -0.28717628988540833, 0.14566749608299384, -0.2622508151282091, -0.07860812812319232, 0.16905784553123845, 0.16082967155509525, 0.14095319572111797, -0.09394666419571472, 0.058398161355742356, -0.05199596775799162, 0.12473948873165581, 0.06027400568127632, 0.0900808131787926, 0.30060743513620564, 0.05781668976156248, 0.04331988937014507, 0.1312462664817253, -0.14635820466921562, -0.1330699995651634, -0.2864327250255479, -0.18250504915809465, -0.1931812711370488, 0.11460697150339709, -0.08551511673156509, -0.07771982877101336, 0.36775519429809517, 0.09935562142895328, 0.22557525975733167, 0.024241566844284534, 0.3191841012487809, 0.12528412831533287, 0.048647487862035634, 0.17494671328717637, 0.29375730583237275, 0.1805765374874075, 0.14619662412442266, -0.26499702016460813, -0.04928896916616294, 0.008654042830069859] |
710.5695 | Two-time Green's functions and spectral density method in nonextensive
quantum statistical mechanics | We extend the formalism of the thermodynamic two-time Green's functions to
nonextensive quantum statistical mechanics. Working in the optimal Lagrangian
multipliers representation, the $q$-spectral properties and the methods for a
direct calculation of the two-time $q$% -Green's functions and the related
$q$-spectral density ($q$ measures the nonextensivity degree) for two generic
operators are presented in strict analogy with the extensive ($q=1$)
counterpart. Some emphasis is devoted to the nonextensive version of the less
known spectral density method whose effectiveness in exploring equilibrium and
transport properties of a wide variety of systems has been well established in
conventional classical and quantum many-body physics. To check how both the
equations of motion and the spectral density methods work to study the
$q$-induced nonextensivity effects in nontrivial many-body problems, we focus
on the equilibrium properties of a second-quantized model for a high-density
Bose gas with strong attraction between particles for which exact results exist
in extensive conditions. Remarkably, the contributions to several thermodynamic
quantities of the $q$-induced nonextensivity close to the extensive regime are
explicitly calculated in the low-temperature regime by overcoming the
calculation of the $q$ grand-partition function.
| cond-mat.stat-mech | we extend the formalism of the thermodynamic twotime greens functions to nonextensive quantum statistical mechanics working in the optimal lagrangian multipliers representation the qspectral properties and the methods for a direct calculation of the twotime q greens functions and the related qspectral density q measures the nonextensivity degree for two generic operators are presented in strict analogy with the extensive q1 counterpart some emphasis is devoted to the nonextensive version of the less known spectral density method whose effectiveness in exploring equilibrium and transport properties of a wide variety of systems has been well established in conventional classical and quantum manybody physics to check how both the equations of motion and the spectral density methods work to study the qinduced nonextensivity effects in nontrivial manybody problems we focus on the equilibrium properties of a secondquantized model for a highdensity bose gas with strong attraction between particles for which exact results exist in extensive conditions remarkably the contributions to several thermodynamic quantities of the qinduced nonextensivity close to the extensive regime are explicitly calculated in the lowtemperature regime by overcoming the calculation of the q grandpartition function | [['we', 'extend', 'the', 'formalism', 'of', 'the', 'thermodynamic', 'twotime', 'greens', 'functions', 'to', 'nonextensive', 'quantum', 'statistical', 'mechanics', 'working', 'in', 'the', 'optimal', 'lagrangian', 'multipliers', 'representation', 'the', 'qspectral', 'properties', 'and', 'the', 'methods', 'for', 'a', 'direct', 'calculation', 'of', 'the', 'twotime', 'q', 'greens', 'functions', 'and', 'the', 'related', 'qspectral', 'density', 'q', 'measures', 'the', 'nonextensivity', 'degree', 'for', 'two', 'generic', 'operators', 'are', 'presented', 'in', 'strict', 'analogy', 'with', 'the', 'extensive', 'q1', 'counterpart', 'some', 'emphasis', 'is', 'devoted', 'to', 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710.5696 | Exact ground states for two new spin-1 quantum chains, new features of
matrix product states | We use the matrix product formalism to find exact ground states of two new
spin-1 quantum chains with nearest neighbor interactions. One of the models,
model I, describes a one-parameter family of quantum chains for which the
ground state can be found exactly. In certain limit of the parameter, the
Hamiltonian turns into the interesting case $H=\sum_i ({\bf S}_i\cdot {\bf
S}_{i+1})^2$. The other model which we label as model II, corresponds to a
family of solvable three-state vertex models on square two dimensional
lattices. The ground state of this model is highly degenerate and the matrix
product states is a generating state of such degenerate states. The simple
structure of the matrix product state allows us to determine the properties of
degenerate states which are otherwise difficult to determine. For both models
we find exact expressions for correlation functions.
| quant-ph cond-mat.str-el | we use the matrix product formalism to find exact ground states of two new spin1 quantum chains with nearest neighbor interactions one of the models model i describes a oneparameter family of quantum chains for which the ground state can be found exactly in certain limit of the parameter the hamiltonian turns into the interesting case hsum_i bf s_icdot bf s_i12 the other model which we label as model ii corresponds to a family of solvable threestate vertex models on square two dimensional lattices the ground state of this model is highly degenerate and the matrix product states is a generating state of such degenerate states the simple structure of the matrix product state allows us to determine the properties of degenerate states which are otherwise difficult to determine for both models we find exact expressions for correlation functions | [['we', 'use', 'the', 'matrix', 'product', 'formalism', 'to', 'find', 'exact', 'ground', 'states', 'of', 'two', 'new', 'spin1', 'quantum', 'chains', 'with', 'nearest', 'neighbor', 'interactions', 'one', 'of', 'the', 'models', 'model', 'i', 'describes', 'a', 'oneparameter', 'family', 'of', 'quantum', 'chains', 'for', 'which', 'the', 'ground', 'state', 'can', 'be', 'found', 'exactly', 'in', 'certain', 'limit', 'of', 'the', 'parameter', 'the', 'hamiltonian', 'turns', 'into', 'the', 'interesting', 'case', 'hsum_i', 'bf', 's_icdot', 'bf', 's_i12', 'the', 'other', 'model', 'which', 'we', 'label', 'as', 'model', 'ii', 'corresponds', 'to', 'a', 'family', 'of', 'solvable', 'threestate', 'vertex', 'models', 'on', 'square', 'two', 'dimensional', 'lattices', 'the', 'ground', 'state', 'of', 'this', 'model', 'is', 'highly', 'degenerate', 'and', 'the', 'matrix', 'product', 'states', 'is', 'a', 'generating', 'state', 'of', 'such', 'degenerate', 'states', 'the', 'simple', 'structure', 'of', 'the', 'matrix', 'product', 'state', 'allows', 'us', 'to', 'determine', 'the', 'properties', 'of', 'degenerate', 'states', 'which', 'are', 'otherwise', 'difficult', 'to', 'determine', 'for', 'both', 'models', 'we', 'find', 'exact', 'expressions', 'for', 'correlation', 'functions']] | [-0.1239116291707272, 0.15229295794030323, -0.023883939664622576, 0.07357497899262372, -0.03901316158418708, -0.19034040849724346, 0.03781348213156247, 0.34408039610613794, -0.2764836756430347, -0.2445793133776854, 0.07320381646123304, -0.29583921772609756, -0.12368381249389666, 0.12924377264811054, 0.06725640892160728, 0.05059118432622841, 0.07339198404909386, 0.09337013453477994, -0.10399744732250624, -0.2102058721374145, 0.3410900520530584, -0.0129304613579092, 0.28022360055269124, 0.003764880613958025, 0.10287496432840057, 0.018289523483390975, 0.08884059018386967, -0.023163129404351553, -0.13398375309428529, 0.10954087175880833, 0.21694591331574617, 0.08239148326067473, 0.1852895896830459, -0.40006871137987166, -0.1676981590126696, 0.14110348213409238, 0.11827563109930933, 0.18315872655897264, 0.052109611056734784, -0.2947485410961021, 0.009282032755436376, -0.23348202968618886, -0.16018168996636042, -0.1221931750761167, 0.004135427767109564, -0.028592617038692182, -0.29839968084749724, 0.07186113409047454, 0.06469699964338146, -0.03742853535445915, -0.06038564483349225, -0.1354847965823651, -0.04078754865879412, 0.13003141746294739, -0.025404603788903093, -0.021411422953379396, 0.03139605955563157, -0.15048250820221737, -0.12507858443688533, 0.3805936602558872, -0.054451565020238325, -0.22892890570116886, 0.1932388631051735, -0.10843001035648152, -0.13611734353745467, 0.0841734070050092, 0.14569806755410836, 0.12979263794156448, -0.1365853965848253, 0.12003951095796177, -0.07680798534591518, 0.14629965987713897, -0.033908386533285546, 0.025144552955787408, 0.2093006314654999, 0.09395505342399701, 0.07918840977500248, 0.20013796298735542, -0.0650237924847341, -0.19859069038648158, -0.28507608780637383, -0.16880202012439707, -0.19700293685994386, 0.08499771255917628, -0.0571612165965823, -0.22275008181767428, 0.46640500097076737, 0.11500962422467316, 0.219806863419602, 0.018990909984602372, 0.17411599567105226, 0.14411113882242182, 0.02556968725505559, 0.05721802046044853, 0.19779317035778043, 0.16961197992307409, -0.039935331076027494, -0.18766993546159938, 0.03604137414710268, 0.10814803683623563] |
710.5697 | Social Browsing & Information Filtering in Social Media | Social networks are a prominent feature of many social media sites, a new
generation of Web sites that allow users to create and share content. Sites
such as Digg, Flickr, and Del.icio.us allow users to designate others as
"friends" or "contacts" and provide a single-click interface to track friends'
activity. How are these social networks used? Unlike pure social networking
sites (e.g., LinkedIn and Facebook), which allow users to articulate their
online professional and personal relationships, social media sites are not, for
the most part, aimed at helping users create or foster online relationships.
Instead, we claim that social media users create social networks to express
their tastes and interests, and use them to filter the vast stream of new
submissions to find interesting content. Social networks, in fact, facilitate
new ways of interacting with information: what we call social browsing. Through
an extensive analysis of data from Digg and Flickr, we show that social
browsing is one of the primary usage modalities on these social media sites.
This finding has implications for how social media sites rate and personalize
content.
| cs.CY cs.HC | social networks are a prominent feature of many social media sites a new generation of web sites that allow users to create and share content sites such as digg flickr and delicious allow users to designate others as friends or contacts and provide a singleclick interface to track friends activity how are these social networks used unlike pure social networking sites eg linkedin and facebook which allow users to articulate their online professional and personal relationships social media sites are not for the most part aimed at helping users create or foster online relationships instead we claim that social media users create social networks to express their tastes and interests and use them to filter the vast stream of new submissions to find interesting content social networks in fact facilitate new ways of interacting with information what we call social browsing through an extensive analysis of data from digg and flickr we show that social browsing is one of the primary usage modalities on these social media sites this finding has implications for how social media sites rate and personalize content | [['social', 'networks', 'are', 'a', 'prominent', 'feature', 'of', 'many', 'social', 'media', 'sites', 'a', 'new', 'generation', 'of', 'web', 'sites', 'that', 'allow', 'users', 'to', 'create', 'and', 'share', 'content', 'sites', 'such', 'as', 'digg', 'flickr', 'and', 'delicious', 'allow', 'users', 'to', 'designate', 'others', 'as', 'friends', 'or', 'contacts', 'and', 'provide', 'a', 'singleclick', 'interface', 'to', 'track', 'friends', 'activity', 'how', 'are', 'these', 'social', 'networks', 'used', 'unlike', 'pure', 'social', 'networking', 'sites', 'eg', 'linkedin', 'and', 'facebook', 'which', 'allow', 'users', 'to', 'articulate', 'their', 'online', 'professional', 'and', 'personal', 'relationships', 'social', 'media', 'sites', 'are', 'not', 'for', 'the', 'most', 'part', 'aimed', 'at', 'helping', 'users', 'create', 'or', 'foster', 'online', 'relationships', 'instead', 'we', 'claim', 'that', 'social', 'media', 'users', 'create', 'social', 'networks', 'to', 'express', 'their', 'tastes', 'and', 'interests', 'and', 'use', 'them', 'to', 'filter', 'the', 'vast', 'stream', 'of', 'new', 'submissions', 'to', 'find', 'interesting', 'content', 'social', 'networks', 'in', 'fact', 'facilitate', 'new', 'ways', 'of', 'interacting', 'with', 'information', 'what', 'we', 'call', 'social', 'browsing', 'through', 'an', 'extensive', 'analysis', 'of', 'data', 'from', 'digg', 'and', 'flickr', 'we', 'show', 'that', 'social', 'browsing', 'is', 'one', 'of', 'the', 'primary', 'usage', 'modalities', 'on', 'these', 'social', 'media', 'sites', 'this', 'finding', 'has', 'implications', 'for', 'how', 'social', 'media', 'sites', 'rate', 'and', 'personalize', 'content']] | [-0.08423382777833889, 0.04374196854793371, -0.017332378700272648, 0.13303561639863978, -0.23683602495108685, -0.19588489635224912, 0.1387286743107998, 0.4844182316620335, -0.26569973620089565, -0.3419419187815726, 0.02803440962581077, -0.4486259152876079, -0.26552080563964187, 0.12145191822676965, -0.019663374930187976, -0.08189910786542835, 0.06121404270624783, 0.0820928615814098, 0.09575919715497251, -0.34411453015752425, 0.3308801708372505, 0.06201256416063982, 0.36116436766511995, 0.09745757562720644, 0.023477712529711425, 0.023709694122977926, -0.12749080401871005, -0.020062150429157304, -0.10075279387952701, 0.20128069965830342, 0.3972357710133929, 0.28621249157389966, 0.36661877413408944, -0.46800966633905694, -0.20498829461551832, 0.0715429267115397, 0.15697047574269052, 0.0868715176877221, -0.09355714906441841, -0.3777796828563618, 0.04982321347992415, -0.21818375788135094, -0.05759742093987722, -0.0845128817545528, 0.014384912858197456, 0.09379934730234643, -0.2305851269600841, 0.0007669422338145544, -0.05310841745990251, 0.1299529310923008, 0.03067390268825468, -0.04825137057135818, -0.03287500171608276, 0.31057137276884683, 0.09699138197198881, -0.07658100877155277, 0.21235231688286008, -0.19632445560711648, -0.18364394282104027, 0.43378496442751663, 0.028259942812963457, -0.10422470976819814, 0.2702499005058523, -0.011591123545655559, -0.13384602173072033, 0.03593258006570253, 0.31775962136871083, 0.04609177014996293, -0.2306093657698009, -0.08122339159364746, -0.08581549682762495, 0.21750652980579074, 0.09050372033508608, 0.0489750675399124, 0.20494693138981393, 0.14235072381259328, 0.0959958429432227, 0.04328967723995447, 0.02673070707975228, -0.07773923738994662, -0.1009589675402279, -0.17584891124108795, -0.15137152161670447, 0.031087550556609403, -0.14740904652857986, -0.13733847320686965, 0.36960903816542573, 0.19489742155191334, 0.13983251064892302, 0.02335265052192253, 0.2133308522125387, -0.0945698383035272, 0.1206789808322094, 0.10930945602044957, 0.10479109772630242, -0.04439223866436363, 0.30340633688504853, -0.0740079274002298, 0.14818931297136687, -0.018036263403148282] |
710.5698 | Extended Connection in Yang-Mills Theory | The three fundamental geometric components of Yang-Mills theory -gauge field,
gauge fixing and ghost field- are unified in a new object: an extended
connection in a properly chosen principal fiber bundle. To do this, it is
necessary to generalize the notion of gauge fixing by using a gauge fixing
connection instead of a section. From the equations for the extended
connection's curvature, we derive the relevant BRST transformations without
imposing the usual horizontality conditions. We show that the gauge field's
standard BRST transformation is only valid in a local trivialization and we
obtain the corresponding global generalization. By using the Faddeev-Popov
method, we apply the generalized gauge fixing to the path integral quantization
of Yang-Mills theory. We show that the proposed gauge fixing can be used even
in the presence of a Gribov's obstruction.
| hep-th | the three fundamental geometric components of yangmills theory gauge field gauge fixing and ghost field are unified in a new object an extended connection in a properly chosen principal fiber bundle to do this it is necessary to generalize the notion of gauge fixing by using a gauge fixing connection instead of a section from the equations for the extended connections curvature we derive the relevant brst transformations without imposing the usual horizontality conditions we show that the gauge fields standard brst transformation is only valid in a local trivialization and we obtain the corresponding global generalization by using the faddeevpopov method we apply the generalized gauge fixing to the path integral quantization of yangmills theory we show that the proposed gauge fixing can be used even in the presence of a gribovs obstruction | [['the', 'three', 'fundamental', 'geometric', 'components', 'of', 'yangmills', 'theory', 'gauge', 'field', 'gauge', 'fixing', 'and', 'ghost', 'field', 'are', 'unified', 'in', 'a', 'new', 'object', 'an', 'extended', 'connection', 'in', 'a', 'properly', 'chosen', 'principal', 'fiber', 'bundle', 'to', 'do', 'this', 'it', 'is', 'necessary', 'to', 'generalize', 'the', 'notion', 'of', 'gauge', 'fixing', 'by', 'using', 'a', 'gauge', 'fixing', 'connection', 'instead', 'of', 'a', 'section', 'from', 'the', 'equations', 'for', 'the', 'extended', 'connections', 'curvature', 'we', 'derive', 'the', 'relevant', 'brst', 'transformations', 'without', 'imposing', 'the', 'usual', 'horizontality', 'conditions', 'we', 'show', 'that', 'the', 'gauge', 'fields', 'standard', 'brst', 'transformation', 'is', 'only', 'valid', 'in', 'a', 'local', 'trivialization', 'and', 'we', 'obtain', 'the', 'corresponding', 'global', 'generalization', 'by', 'using', 'the', 'faddeevpopov', 'method', 'we', 'apply', 'the', 'generalized', 'gauge', 'fixing', 'to', 'the', 'path', 'integral', 'quantization', 'of', 'yangmills', 'theory', 'we', 'show', 'that', 'the', 'proposed', 'gauge', 'fixing', 'can', 'be', 'used', 'even', 'in', 'the', 'presence', 'of', 'a', 'gribovs', 'obstruction']] | [-0.15373386092372796, 0.1441796695494915, -0.1359296449001378, 0.1063428404237102, -0.13848554011635872, -0.11093879746509466, 0.008450993993528076, 0.35697062055010403, -0.22808071090874554, -0.2573048687559976, 0.06784752264980283, -0.16673664500200147, -0.20132149210366518, 0.07321508564732608, -0.11378838184442538, 0.024590497773919088, 0.012931075475331563, 0.07176681186781446, -0.12588558240216782, -0.2618495624733102, 0.3725845242030363, -0.006115735283489826, 0.2599807541205812, 0.03154350468212758, 0.1525735468707923, 0.07598421277144729, -0.04350679151630446, 0.03580961488500071, -0.10061247539482819, 0.10824537637240406, 0.17873674545284193, 0.07320065903929132, 0.17764969417519533, -0.40628430722698344, -0.2245563755764056, 0.09769875862037958, 0.11962802387051173, 0.1248222163951358, -0.014327616658437051, -0.30508600314384077, 0.08563507088015217, -0.14348649830599106, -0.15995049173465875, -0.1259380220644065, -0.08277868136325713, -0.08854123266108001, -0.26566020631467674, 0.036795568466615476, 0.01491410569930727, 0.0666544638986138, -0.06980070274031318, -0.03672016742847749, -0.047941508586518466, 0.07203665167899496, 0.08656586485796733, 0.07777316335227284, 0.13373057963674082, -0.17320216107077951, -0.10065660506153284, 0.40149344464958603, -0.10036719450640227, -0.29050148265443243, 0.13514420249735687, -0.06005658473430285, -0.2038716025886807, 0.09532227029666868, 0.06401449177108372, 0.1508963175183996, -0.1554596287288717, 0.20161804504980987, -0.060679009179028666, 0.11159487181245836, 0.10360626485407241, -0.0027101257843757743, 0.17177308335321054, 0.04252574863885321, 0.09437250907470102, 0.1292915932352849, -0.010357482272370565, -0.10583183878282112, -0.4662919570274873, -0.19892439348866411, -0.12634602958795182, 0.09543134427087298, -0.11846692555166134, -0.1259774896177227, 0.3947514900312161, 0.18261897020083642, 0.1548123494304939, 0.06805888504839377, 0.22842899383977056, 0.1548589273015343, 0.13905135065720264, 0.02749045762066632, 0.2434469520308967, 0.22932818889054957, 0.03208358433625814, -0.22733618388101876, -0.12740163149576245, 0.17527932257030104] |
710.5699 | Leptoquarks: Neutrino masses and accelerator phenomenology | Leptoquark-Higgs interactions induce mixing between leptoquark states with
different chiralities once the electro-weak symmetry is broken. In such LQ
models Majorana neutrino masses are generated at 1-loop order. Here we
calculate the neutrino mass matrix and explore the constraints on the parameter
space enforced by the assumption that LQ-loops explain current neutrino
oscillation data. LQs will be produced at the LHC, if their masses are at or
below the TeV scale. Since the fermionic decays of LQs are governed by the same
Yukawa couplings, which are responsible for the non-trivial neutrino mass
matrix, several decay branching ratios of LQ states can be predicted from
measured neutrino data. Especially interesting is that large lepton flavour
violating rates in muon and tau final states are expected. In addition, the
model predicts that, if kinematically possible, heavier LQs decay into lighter
ones plus either a standard model Higgs boson or a $Z^0/W^{\pm}$ gauge boson.
Thus, experiments at the LHC might be able to exclude the LQ mechanism as
explanation of neutrino data.
| hep-ph | leptoquarkhiggs interactions induce mixing between leptoquark states with different chiralities once the electroweak symmetry is broken in such lq models majorana neutrino masses are generated at 1loop order here we calculate the neutrino mass matrix and explore the constraints on the parameter space enforced by the assumption that lqloops explain current neutrino oscillation data lqs will be produced at the lhc if their masses are at or below the tev scale since the fermionic decays of lqs are governed by the same yukawa couplings which are responsible for the nontrivial neutrino mass matrix several decay branching ratios of lq states can be predicted from measured neutrino data especially interesting is that large lepton flavour violating rates in muon and tau final states are expected in addition the model predicts that if kinematically possible heavier lqs decay into lighter ones plus either a standard model higgs boson or a z0wpm gauge boson thus experiments at the lhc might be able to exclude the lq mechanism as explanation of neutrino data | [['leptoquarkhiggs', 'interactions', 'induce', 'mixing', 'between', 'leptoquark', 'states', 'with', 'different', 'chiralities', 'once', 'the', 'electroweak', 'symmetry', 'is', 'broken', 'in', 'such', 'lq', 'models', 'majorana', 'neutrino', 'masses', 'are', 'generated', 'at', '1loop', 'order', 'here', 'we', 'calculate', 'the', 'neutrino', 'mass', 'matrix', 'and', 'explore', 'the', 'constraints', 'on', 'the', 'parameter', 'space', 'enforced', 'by', 'the', 'assumption', 'that', 'lqloops', 'explain', 'current', 'neutrino', 'oscillation', 'data', 'lqs', 'will', 'be', 'produced', 'at', 'the', 'lhc', 'if', 'their', 'masses', 'are', 'at', 'or', 'below', 'the', 'tev', 'scale', 'since', 'the', 'fermionic', 'decays', 'of', 'lqs', 'are', 'governed', 'by', 'the', 'same', 'yukawa', 'couplings', 'which', 'are', 'responsible', 'for', 'the', 'nontrivial', 'neutrino', 'mass', 'matrix', 'several', 'decay', 'branching', 'ratios', 'of', 'lq', 'states', 'can', 'be', 'predicted', 'from', 'measured', 'neutrino', 'data', 'especially', 'interesting', 'is', 'that', 'large', 'lepton', 'flavour', 'violating', 'rates', 'in', 'muon', 'and', 'tau', 'final', 'states', 'are', 'expected', 'in', 'addition', 'the', 'model', 'predicts', 'that', 'if', 'kinematically', 'possible', 'heavier', 'lqs', 'decay', 'into', 'lighter', 'ones', 'plus', 'either', 'a', 'standard', 'model', 'higgs', 'boson', 'or', 'a', 'z0wpm', 'gauge', 'boson', 'thus', 'experiments', 'at', 'the', 'lhc', 'might', 'be', 'able', 'to', 'exclude', 'the', 'lq', 'mechanism', 'as', 'explanation', 'of', 'neutrino', 'data']] | [-0.07663913496877965, 0.3668846636453043, -0.004559875302176631, 0.22790064774762211, -0.06251281518517174, -0.20929203448250486, 0.035141267188886424, 0.31260228183973265, -0.2400461560962385, -0.3045719180042934, 0.055119647078513426, -0.29508801192853107, 0.01153211991571967, 0.14227347278193267, 0.1064061856189047, 0.04559727466850351, 0.07944309226158693, 0.014226392685738673, -0.07899335216827612, -0.24247070137097174, 0.30811646374234236, 0.022671027201598127, 0.1894109229927501, 0.08103917778402298, 0.03986000325474664, -0.06602008953264141, -0.01667438406659941, -0.11463223282736586, -0.07781014932211347, 0.0185551061635102, 0.17370902733269014, 0.08319319798667209, 0.07766050619005888, -0.3881894045913345, -0.09980843276211834, 0.23018115951892842, 0.1780167667122266, 0.08648029219496614, -0.0786676748567373, -0.3441603894342657, 0.1148024580542402, -0.18112207843826703, -0.11320434591584945, -0.06844174016424152, -0.06635084443624659, -0.10534277321849332, -0.37433035391893416, 0.10768161916050566, -0.06519432560679593, -0.040788547057344256, -0.013256305397743449, -0.18933897598433386, -0.10250675687089518, 0.019787798655297922, 0.20238918462257652, -0.015678139733072055, 0.16627396596946292, -0.17634088384318558, -0.15875243877778838, 0.41473404961849947, -0.08892354614407116, -0.17056462419337132, 0.15518503008881607, -0.19093201737233764, -0.14460178997917436, 0.1380725133033604, 0.22095393561421478, 0.022428274227597987, -0.18271127250045538, 0.15815956534253972, -0.07353918350312903, 0.16306432578937116, 0.0505824718380302, 0.06728481680802799, 0.30703708135623886, 0.1936193136042489, 0.06961118990375874, -0.034878522743953456, -0.07782793501027332, -0.05466964547641587, -0.40818918306739577, -0.07759370244141803, -0.10829425759680839, 0.05268152325660627, -0.04178791606629755, -0.05026706696855443, 0.3960906632373626, 0.10851514394428716, 0.2708291307579816, 0.03777280033437019, 0.26478155605293, 0.11309808502408553, 0.13355541926056866, 0.0341105231403721, 0.34773596874382123, 0.12258786778596892, 0.09237430614127543, -0.25439894170618155, 0.054770686795531084, 0.08483989468876676] |
710.57 | Photon polarization as a probe for quark-gluon plasma dynamics | Prospects of measuring polarized photons emitted from a quark-gluon plasma
(QGP) are discussed. In particular, the detection of a possible quark spin
polarization in a QGP using circularly polarized photons emitted from the
plasma is studied. Photons leave the QGP without further interaction and thus
provide a primary probe for quark polarization within the QGP. We find that
photon polarization cannot solely arise due to a possible QGP momentum space
anisotropy, but may be enhanced due to it. In particular, for oblate momentum
distributions and high photon energies, quark polarization is efficiently
transfered to photon polarization. The role of competing sources of polarized
photons in heavy-ion collisions is discussed.
| hep-ph nucl-th | prospects of measuring polarized photons emitted from a quarkgluon plasma qgp are discussed in particular the detection of a possible quark spin polarization in a qgp using circularly polarized photons emitted from the plasma is studied photons leave the qgp without further interaction and thus provide a primary probe for quark polarization within the qgp we find that photon polarization cannot solely arise due to a possible qgp momentum space anisotropy but may be enhanced due to it in particular for oblate momentum distributions and high photon energies quark polarization is efficiently transfered to photon polarization the role of competing sources of polarized photons in heavyion collisions is discussed | [['prospects', 'of', 'measuring', 'polarized', 'photons', 'emitted', 'from', 'a', 'quarkgluon', 'plasma', 'qgp', 'are', 'discussed', 'in', 'particular', 'the', 'detection', 'of', 'a', 'possible', 'quark', 'spin', 'polarization', 'in', 'a', 'qgp', 'using', 'circularly', 'polarized', 'photons', 'emitted', 'from', 'the', 'plasma', 'is', 'studied', 'photons', 'leave', 'the', 'qgp', 'without', 'further', 'interaction', 'and', 'thus', 'provide', 'a', 'primary', 'probe', 'for', 'quark', 'polarization', 'within', 'the', 'qgp', 'we', 'find', 'that', 'photon', 'polarization', 'can', 'not', 'solely', 'arise', 'due', 'to', 'a', 'possible', 'qgp', 'momentum', 'space', 'anisotropy', 'but', 'may', 'be', 'enhanced', 'due', 'to', 'it', 'in', 'particular', 'for', 'oblate', 'momentum', 'distributions', 'and', 'high', 'photon', 'energies', 'quark', 'polarization', 'is', 'efficiently', 'transfered', 'to', 'photon', 'polarization', 'the', 'role', 'of', 'competing', 'sources', 'of', 'polarized', 'photons', 'in', 'heavyion', 'collisions', 'is', 'discussed']] | [-0.07767854016485878, 0.3530754636888477, -0.14597716937688263, 0.1086952911187175, -0.050504472597756166, -0.08769572847522795, -0.01636456195265055, 0.4356488651511344, -0.23048335077579726, -0.259781311723319, -0.06493554519150745, -0.3142076860012656, 0.0902983771383085, 0.1626976123756983, 0.0768990416100926, 0.027260184588588098, 0.05990968487987464, -0.045491976373225704, -0.01468408244056098, -0.16056761462453076, 0.3194885089316151, 0.09659598342735659, 0.25686944836581294, 0.19437950486740604, 0.10436717450449412, 0.04490803094496104, -0.05365384134717963, -0.013951794282713143, -0.021103827487108488, 0.021576236449023286, 0.25792714700589636, 0.03428457455751909, 0.0950539839390496, -0.39587270371954547, -0.22574030896860428, 0.1282708545977419, 0.15659003823318265, 0.1705072778869759, -0.08340942795303735, -0.24691205610605804, -0.002483689111911438, -0.199511726452461, -0.16292638534002685, -0.061729904295961285, 0.001357759243216027, -0.004293910566378723, -0.28320914926854046, 0.10547369951461653, -0.013267227317291228, -0.04242517573081634, 0.02428081852849573, -0.0941504638557407, -0.12390886648473415, 0.0012722702464088797, 0.08455178444908762, 0.13889706713062797, 0.21262542871673676, -0.2341789187852886, -0.12848646084524012, 0.43323535077612507, -0.04699534462680194, -0.13997597648465837, 0.14572794381105764, -0.25141646430235015, -0.0737370680551976, 0.2072495889595964, 0.24135229224339128, 0.147583442712626, -0.16083656225607476, 0.00046438854081894864, -0.011587521387264132, 0.17786935663951392, 0.14790561612991784, 0.15973695930178192, 0.35274633330039, 0.16042723908427764, -0.04571150026538155, 0.16986805285136639, -0.08418838380920617, -0.01853384825887836, -0.3307164176748219, -0.09858086380091581, -0.1907227134840055, 0.0883620740931788, -0.06348656689383048, -0.06945855177632025, 0.38794922029853546, 0.14375706166346472, 0.14814494646112011, -0.12540156080133535, 0.34130929020995443, 0.10772800316018137, -0.014185595245693218, 0.0995336249428378, 0.3669672171839259, 0.21285294477235187, 0.15866226089525629, -0.2800114315426485, 0.044275904849002304, -0.03153122810816223] |
710.5701 | Nova V5116 Sgr and searching for superhumps in nova remnants | We present the period analysis of unfiltered photometric observations of
V5116 Sgr (Nova Sgr 2005 #2) and we search for superhump candidates in novae
remnants. The PDM method for period analysis is used. The masses of the novae
componets are estimated from the secondary mass -- orbital period and primary
mass -- decline time relations. We found that 13 nights of V5116 Sgr
observations in the year 2006 are modulated with a period of $0.1238 \pm
0.0001$ d ($2.9712 \pm 0.0024$ h). Following the shape of the phased light
curves and no apparent change in the value of the periodicity in different
subsamples of the data, we interpret the period as orbital in nature. The
binary system then falls within the period gap of the orbital period
distribution of cataclysmic variables. From the maximum magnitude -- rate of
decline relation, we estimate the maximum absolute visual magnitude of $M_{\rm
Vmax} = -8.85 \pm 0.04$ mag using the measured value of decline $t_{\rm 2} =
6.5 \pm 1.0$ d. The mass-period relation for cataclysmic variables yields a
secondary mass estimate of about $0.26 \pm 0.05 {\rm M}_{\rm \odot}$. We
propose that V5116 Sgr is a high inclination system showing an irradiation
effect of the secondary star. No fully developed accretion disc up to the tidal
radius with the value lower than $3.5 10^{10}$ cm is probable. The mass ratio
was estimated in a few novae and the presence or absence of superhumps in these
systems was compared with the mass ratio limit for superhumps of about 0.35. We
found that in the majority of novae with expected superhumps, this variability
has not been found yet. Therefore, more observations of these systems is
encouraged.
| astro-ph | we present the period analysis of unfiltered photometric observations of v5116 sgr nova sgr 2005 2 and we search for superhump candidates in novae remnants the pdm method for period analysis is used the masses of the novae componets are estimated from the secondary mass orbital period and primary mass decline time relations we found that 13 nights of v5116 sgr observations in the year 2006 are modulated with a period of 01238 pm 00001 d 29712 pm 00024 h following the shape of the phased light curves and no apparent change in the value of the periodicity in different subsamples of the data we interpret the period as orbital in nature the binary system then falls within the period gap of the orbital period distribution of cataclysmic variables from the maximum magnitude rate of decline relation we estimate the maximum absolute visual magnitude of m_rm vmax 885 pm 004 mag using the measured value of decline t_rm 2 65 pm 10 d the massperiod relation for cataclysmic variables yields a secondary mass estimate of about 026 pm 005 rm m_rm odot we propose that v5116 sgr is a high inclination system showing an irradiation effect of the secondary star no fully developed accretion disc up to the tidal radius with the value lower than 35 1010 cm is probable the mass ratio was estimated in a few novae and the presence or absence of superhumps in these systems was compared with the mass ratio limit for superhumps of about 035 we found that in the majority of novae with expected superhumps this variability has not been found yet therefore more observations of these systems is encouraged | [['we', 'present', 'the', 'period', 'analysis', 'of', 'unfiltered', 'photometric', 'observations', 'of', 'v5116', 'sgr', 'nova', 'sgr', '2005', '2', 'and', 'we', 'search', 'for', 'superhump', 'candidates', 'in', 'novae', 'remnants', 'the', 'pdm', 'method', 'for', 'period', 'analysis', 'is', 'used', 'the', 'masses', 'of', 'the', 'novae', 'componets', 'are', 'estimated', 'from', 'the', 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'observations', 'of', 'these', 'systems', 'is', 'encouraged']] | [-0.1342684342436676, 0.13236869480653138, -0.07812603297609373, 0.06594916029126267, -0.0568350303177144, -0.09738345489069059, 0.09561552910684833, 0.37741518166106547, -0.17084733440997896, -0.40290165890049, 0.0895227902504296, -0.3281176858156729, -0.038240052759222494, 0.22036871727535595, -0.10609864366638481, 0.0013419470344466177, 0.0953791941087829, -0.019405770535329287, -0.11318054321276391, -0.2716645401945834, 0.19690728331168256, 0.02924940445762889, 0.13174211917730577, -0.06722753229092154, 0.04056928299913815, -0.030116904074033845, -0.02765349525587385, -0.10190955278239329, -0.1734960925519493, 0.023515285483908153, 0.1796758987883065, 0.11689235218443711, 0.1915487117868216, -0.29096966202160085, -0.15575393201856802, 0.09128169779815323, 0.15887508392257507, -0.020170269728796285, -0.0012739753433147166, -0.2101182895733798, 0.08585505302227273, -0.21806771294502744, -0.16622066941795477, 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710.5702 | Solar system tests of scalar field models with an exponential potential | We consider a scenario where a scalar field has dynamics ruled by an
exponential potential, such as those arising from some quintessence type
models, and aim at obtaining phenomenological manifestations of this entity
within our Solar System. To do so, we assume a perturbative regime, derive the
perturbed Schwarzschild metric, and extract the relevant post-Newtonian
parameters.
| astro-ph | we consider a scenario where a scalar field has dynamics ruled by an exponential potential such as those arising from some quintessence type models and aim at obtaining phenomenological manifestations of this entity within our solar system to do so we assume a perturbative regime derive the perturbed schwarzschild metric and extract the relevant postnewtonian parameters | [['we', 'consider', 'a', 'scenario', 'where', 'a', 'scalar', 'field', 'has', 'dynamics', 'ruled', 'by', 'an', 'exponential', 'potential', 'such', 'as', 'those', 'arising', 'from', 'some', 'quintessence', 'type', 'models', 'and', 'aim', 'at', 'obtaining', 'phenomenological', 'manifestations', 'of', 'this', 'entity', 'within', 'our', 'solar', 'system', 'to', 'do', 'so', 'we', 'assume', 'a', 'perturbative', 'regime', 'derive', 'the', 'perturbed', 'schwarzschild', 'metric', 'and', 'extract', 'the', 'relevant', 'postnewtonian', 'parameters']] | [-0.12147627361784023, 0.07970520450518441, -0.07051534184886675, 0.11217191249722548, -0.09273860885462325, -0.17256495926163293, 0.010006475428651487, 0.2770280071500955, -0.24502608562137798, -0.3013446058612317, 0.05359965956969453, -0.27400845006507424, -0.1446246661029623, 0.16907563658190025, -0.019584118326227844, 0.03235016826407185, 0.00852412251489503, 0.09099354022431985, -0.05927860610453146, -0.16499346169127552, 0.38680704377059427, 0.0587184497022203, 0.1395846476994588, -0.01462705057513501, 0.09897017088951543, -0.04094925797211805, 0.002309317193326673, 0.015050082667065518, -0.19904064496846072, 0.02921800415580427, 0.22455489775458254, 0.10243752845729302, 0.24962149685662943, -0.4264459584706596, -0.3050567156834794, 0.12058731437926846, 0.1724717743927613, 0.14020293569358597, -0.05796667878582541, -0.27895975538662504, 0.03869195141513566, -0.21498474969329046, -0.1605390694707499, -0.08078219738256719, -0.016011014753270762, -0.007643172284588218, -0.27436274593596216, 0.0751724399493209, 0.04249858329006072, 0.013504849963023194, -0.0869205985467748, -0.0774378591720181, 0.02981112103693054, 0.09036460088100284, 0.10236033034951626, 0.033537432559699355, 0.14018355006451852, -0.1399779689090792, -0.06865536378505308, 0.4225554228760302, -0.11390187316491003, -0.2127577720135118, 0.1658965369528492, -0.1547260474513418, -0.13735479942988604, 0.031108712394987897, 0.16432917746715248, 0.15150284039555117, -0.1970124674262479, 0.15629779241239053, 0.01760845142832425, 0.15060875024313905, 0.04119904901848973, 0.036229362029449215, 0.283869991760834, 0.12656997576622026, -0.018410072042440464, 0.12032311726527821, -0.0717705222029638, -0.12762307144709797, -0.35995423990035696, -0.05981573844162215, -0.10528869853754129, 0.10500173254071601, -0.12876332675919652, -0.16730524486462986, 0.39579891290382613, 0.16944263822266034, 0.21027398119414492, 0.042392103907851766, 0.2572066003589758, 0.11714998376555741, 0.016845416078077897, 0.09062134550848507, 0.32658569658867365, 0.08049980403406412, 0.11299313755340076, -0.17955786942288146, -0.0047684131007242414, 0.08363176734253232] |
710.5703 | The Sznajd dynamics on a directed clustered network | The Sznajd model is investigated in the directed Erdos--Renyi network with
the clusterization coefficient enhanced to 0.3 by the method of Holme and Kim
(Phys. Rev. E65 (2002) 026107). Within additional triangles, all six links are
present. In this network, some nodes preserve the minority opinion. The time
tau of getting equilibrium is found to follow the log-normal distribution and
it increases linearly with the system size. Its dependence on the initial
opinion distribution is different from the analytical results for fully
connected networks.
| physics.soc-ph | the sznajd model is investigated in the directed erdosrenyi network with the clusterization coefficient enhanced to 03 by the method of holme and kim phys rev e65 2002 026107 within additional triangles all six links are present in this network some nodes preserve the minority opinion the time tau of getting equilibrium is found to follow the lognormal distribution and it increases linearly with the system size its dependence on the initial opinion distribution is different from the analytical results for fully connected networks | [['the', 'sznajd', 'model', 'is', 'investigated', 'in', 'the', 'directed', 'erdosrenyi', 'network', 'with', 'the', 'clusterization', 'coefficient', 'enhanced', 'to', '03', 'by', 'the', 'method', 'of', 'holme', 'and', 'kim', 'phys', 'rev', 'e65', '2002', '026107', 'within', 'additional', 'triangles', 'all', 'six', 'links', 'are', 'present', 'in', 'this', 'network', 'some', 'nodes', 'preserve', 'the', 'minority', 'opinion', 'the', 'time', 'tau', 'of', 'getting', 'equilibrium', 'is', 'found', 'to', 'follow', 'the', 'lognormal', 'distribution', 'and', 'it', 'increases', 'linearly', 'with', 'the', 'system', 'size', 'its', 'dependence', 'on', 'the', 'initial', 'opinion', 'distribution', 'is', 'different', 'from', 'the', 'analytical', 'results', 'for', 'fully', 'connected', 'networks']] | [-0.12288941027798567, 0.11235276797606823, -0.053830985350152814, 0.012042696859844658, -0.03591165478700346, -0.1399683326381786, 0.06754997386372681, 0.39003620987915133, -0.22898033508331045, -0.3276590414356485, 0.021588525013908386, -0.31690726619976833, -0.14525282105812468, 0.09152029226646276, -0.03178036127923932, 0.021017620378561003, 0.043243016876527166, 0.027229678528158958, 0.016645602837025403, -0.30264313593057984, 0.2763757209927517, 0.06791724132497358, 0.3083019942881158, 0.04202079705764955, 0.050563285542450036, 0.015002878245347774, -0.04555244620395712, 0.028799894117155528, -0.1473143050245133, 0.051028262414262594, 0.16956814331653336, 0.0927027537633317, 0.23266503902668334, -0.38768102666250914, -0.22089950897427926, 0.09160385472722442, 0.10177630249478192, 0.10106731283040829, 0.05106368536797229, -0.29931683482950083, 0.10330078062175, -0.21030898699649128, -0.12397860568325338, -0.028643408368049884, 0.07978147656533373, 0.08093705729031599, -0.25272032325660965, 0.123837676432253, 0.04833451343184135, 0.027840134900916053, -0.013649001387957797, -0.14531363072631184, -0.0729572111347982, 0.11151350437697158, 0.013146214951559093, 0.06704361673938222, 0.11023601889049253, -0.10372573877572565, -0.09963891902063267, 0.32942042615915457, -0.0319315076564405, -0.17739738387066917, 0.16780765412420215, -0.1432207505981696, -0.13340544913992208, 0.12424449710152953, 0.14548311310894618, 0.10140314044399995, -0.15685486054070383, 0.04768972891994404, -0.09610473878502128, 0.1479757846030126, 0.0308760972328888, -0.033384553145572364, 0.12570220672985516, 0.17980905042130904, 0.04779888557113079, 0.13325464210181262, -0.07423637842995126, -0.17599893260904284, -0.22144255469586835, -0.09887371256004975, -0.20655512853654617, 0.03204155050173222, -0.11854645549368775, -0.12419904674072357, 0.4242452781265938, 0.12796980731682964, 0.24932522245357375, 0.09489843473736062, 0.23100386126842126, 0.09362688380102795, 0.020803566971591796, 0.16574343663629099, 0.21582086749146243, 0.15185680406179325, 0.1339879182324442, -0.19936109318801887, 0.130552431130894, 0.034941229158563604] |
710.5704 | AGN-Induced Cavities in NGC 1399 and NGC 4649 | We present an analysis of archival Chandra and VLA observations of the E0
galaxy NGC 1399 and the E2 galaxy NGC 4649 in which we investigate cavities in
the surrounding X-ray emitting medium caused by the central AGN. We calculate
the jet power required for the AGN to evacuate these cavities and find values
of ~8x10^{41} erg/s and ~14x10^{41} erg/s for the lobes of NGC 1399 and
~7x10^{41} erg/s and ~6x10^{41} erg/s for those of NGC 4649. We also calculate
the k/f values for each cavity, where k is the ratio of the total particle
energy to that of electrons radiating in the range of 10 MHz to 10 GHz, and f
is the volume filling factor of the plasma in the cavity. We find that the
values of k/f for the lobes of NGC 1399 are ~93 and ~190, and those of the
lobes of NGC 4649 are ~15000 and ~12000. We conclude that the assumed spectrum
describes the electron distribution in the lobes of NGC 1399 reasonably well,
and that there are few entrained particles. For NGC 4649, either there are many
entrained particles or the model spectrum does not accurately describe the
population of electrons.
| astro-ph | we present an analysis of archival chandra and vla observations of the e0 galaxy ngc 1399 and the e2 galaxy ngc 4649 in which we investigate cavities in the surrounding xray emitting medium caused by the central agn we calculate the jet power required for the agn to evacuate these cavities and find values of 8x1041 ergs and 14x1041 ergs for the lobes of ngc 1399 and 7x1041 ergs and 6x1041 ergs for those of ngc 4649 we also calculate the kf values for each cavity where k is the ratio of the total particle energy to that of electrons radiating in the range of 10 mhz to 10 ghz and f is the volume filling factor of the plasma in the cavity we find that the values of kf for the lobes of ngc 1399 are 93 and 190 and those of the lobes of ngc 4649 are 15000 and 12000 we conclude that the assumed spectrum describes the electron distribution in the lobes of ngc 1399 reasonably well and that there are few entrained particles for ngc 4649 either there are many entrained particles or the model spectrum does not accurately describe the population of electrons | [['we', 'present', 'an', 'analysis', 'of', 'archival', 'chandra', 'and', 'vla', 'observations', 'of', 'the', 'e0', 'galaxy', 'ngc', '1399', 'and', 'the', 'e2', 'galaxy', 'ngc', '4649', 'in', 'which', 'we', 'investigate', 'cavities', 'in', 'the', 'surrounding', 'xray', 'emitting', 'medium', 'caused', 'by', 'the', 'central', 'agn', 'we', 'calculate', 'the', 'jet', 'power', 'required', 'for', 'the', 'agn', 'to', 'evacuate', 'these', 'cavities', 'and', 'find', 'values', 'of', '8x1041', 'ergs', 'and', '14x1041', 'ergs', 'for', 'the', 'lobes', 'of', 'ngc', '1399', 'and', '7x1041', 'ergs', 'and', '6x1041', 'ergs', 'for', 'those', 'of', 'ngc', '4649', 'we', 'also', 'calculate', 'the', 'kf', 'values', 'for', 'each', 'cavity', 'where', 'k', 'is', 'the', 'ratio', 'of', 'the', 'total', 'particle', 'energy', 'to', 'that', 'of', 'electrons', 'radiating', 'in', 'the', 'range', 'of', '10', 'mhz', 'to', '10', 'ghz', 'and', 'f', 'is', 'the', 'volume', 'filling', 'factor', 'of', 'the', 'plasma', 'in', 'the', 'cavity', 'we', 'find', 'that', 'the', 'values', 'of', 'kf', 'for', 'the', 'lobes', 'of', 'ngc', '1399', 'are', '93', 'and', '190', 'and', 'those', 'of', 'the', 'lobes', 'of', 'ngc', '4649', 'are', '15000', 'and', '12000', 'we', 'conclude', 'that', 'the', 'assumed', 'spectrum', 'describes', 'the', 'electron', 'distribution', 'in', 'the', 'lobes', 'of', 'ngc', '1399', 'reasonably', 'well', 'and', 'that', 'there', 'are', 'few', 'entrained', 'particles', 'for', 'ngc', '4649', 'either', 'there', 'are', 'many', 'entrained', 'particles', 'or', 'the', 'model', 'spectrum', 'does', 'not', 'accurately', 'describe', 'the', 'population', 'of', 'electrons']] | [-0.08434592820727986, 0.09177264375031563, -0.029947090737963308, 0.07308211303484079, -0.04371609766583544, -0.07165982154889282, -0.004339797283071526, 0.478771005901172, -0.11410433005003892, -0.34667476070756764, 0.023407426695147355, -0.3136510964646244, 0.024389819706521314, 0.20836423507461937, -0.0011320045678732322, -0.0838768704937316, 0.029905739312357817, -0.07316253266114857, 0.0048172177672482185, -0.22066752078280466, 0.26654400706252795, 0.06773334477437641, 0.15852557858644226, 0.02917812109718426, 0.09426890542615474, -0.10353416630872388, 0.004704761614101296, -0.06374736557763848, -0.15300191616012113, 0.03659600913572634, 0.23586420573716618, 0.0876030498148259, 0.24607128952389834, -0.37201745595456553, -0.17116196580788062, 0.06919819192922454, 0.2430125301386969, -0.02544040408419906, -0.009757053193734651, -0.27389127896983445, 0.07287973843361299, -0.2522716055691396, -0.19447055192347423, 0.09078676532473914, 0.054627247428348694, 0.042683646209344756, -0.21102282473788664, 0.19301663160899574, -0.0054216222920753275, 0.05746815331069004, -0.16674397280439734, -0.10052710264613948, -0.007469139336704363, 0.07570771464583531, 0.024850358444232418, 0.07397971802016663, 0.21577415440337175, -0.14410534205596856, 0.00802516744750523, 0.40690611187877496, 0.0021609887888789482, 0.031038140153185914, 0.20435568633892565, -0.24652430700551065, -0.15748334162359692, 0.13318898940228463, 0.11270445600852907, 0.0687488498641466, -0.12701154304860332, 0.02039082521139452, -0.08451356022071439, 0.2464646330156085, 0.03662055635647176, 0.05505431116304778, 0.223203151927272, 0.022837589524287882, 0.02952192618107164, 0.13308590539873905, -0.25134564296506856, -0.00948204709092136, -0.23774227162957498, -0.07464415875273113, -0.13293368455332213, 0.08799576566060441, -0.15875155964217294, -0.11805526891569655, 0.37996737776352957, 0.0688803064416057, 0.21808679211769522, -0.016447828762766126, 0.2938687990553984, 0.07870129492498704, 0.0662355299621398, 0.20990649095890065, 0.32519784765366044, 0.1843906422733742, 0.03643230623901658, -0.25361207785257667, 7.203064820508367e-05, -0.02443589196665232] |
710.5705 | Magnetocaloric effect in nano- and polycrystalline manganite
$La_{0.7}Ca_{0.3}MnO_3$ | $La_{0.7}Ca_{0.3}MnO_3$ samples were prepared in nano- and polycrystalline
forms by sol-gel and solid state reaction methods, respectively, and
structurally characterized by synchrotron X-ray diffraction. The magnetic
properties determined by ac susceptibility and dc magnetization measurements
are discussed. The magnetocaloric effect in this nanocrystalline manganite is
spread over a broader temperature interval than in the polycrystalline case.
The relative cooling power of the poly- and nanocrystalline manganites is used
to evaluate a possible application for magnetic cooling below room temperature.
| cond-mat.mtrl-sci cond-mat.str-el | la_07ca_03mno_3 samples were prepared in nano and polycrystalline forms by solgel and solid state reaction methods respectively and structurally characterized by synchrotron xray diffraction the magnetic properties determined by ac susceptibility and dc magnetization measurements are discussed the magnetocaloric effect in this nanocrystalline manganite is spread over a broader temperature interval than in the polycrystalline case the relative cooling power of the poly and nanocrystalline manganites is used to evaluate a possible application for magnetic cooling below room temperature | [['la_07ca_03mno_3', 'samples', 'were', 'prepared', 'in', 'nano', 'and', 'polycrystalline', 'forms', 'by', 'solgel', 'and', 'solid', 'state', 'reaction', 'methods', 'respectively', 'and', 'structurally', 'characterized', 'by', 'synchrotron', 'xray', 'diffraction', 'the', 'magnetic', 'properties', 'determined', 'by', 'ac', 'susceptibility', 'and', 'dc', 'magnetization', 'measurements', 'are', 'discussed', 'the', 'magnetocaloric', 'effect', 'in', 'this', 'nanocrystalline', 'manganite', 'is', 'spread', 'over', 'a', 'broader', 'temperature', 'interval', 'than', 'in', 'the', 'polycrystalline', 'case', 'the', 'relative', 'cooling', 'power', 'of', 'the', 'poly', 'and', 'nanocrystalline', 'manganites', 'is', 'used', 'to', 'evaluate', 'a', 'possible', 'application', 'for', 'magnetic', 'cooling', 'below', 'room', 'temperature']] | [-0.08270504350384957, 0.26213809386591275, -0.004258855502784276, -0.04203250571419308, -0.026003054449264006, -0.10176546998982187, 0.1105850464458094, 0.4601717190463332, -0.2510455578707064, -0.2937594982029139, 0.06299461955587746, -0.3315490653879846, -0.032092463018820634, 0.2794659522043753, 0.026543253926631018, 0.05800245984021244, -0.10757986653030296, -0.059923262641871276, -0.10231326617185568, -0.23515163833581948, 0.22648664339794777, 0.05035910899220388, 0.33413798347870005, 0.05342178172844497, 0.04267259775601988, -0.024789433083438044, 0.1411487998181506, 0.07737175158307522, -0.19906434926051128, -0.02774358100458225, 0.28215230732590335, -0.09575174928088731, 0.14076632710433082, -0.42039970351866435, -0.24923738550772018, 0.0033671329552425614, 0.08799448484979287, 0.04826516255440155, -0.08040565225631706, -0.2068293733445668, 0.0708695981722278, -0.0907217097480463, -0.058779039343559665, -0.1226765679879279, -0.03241682543030268, 0.008855240633917525, -0.2393673524920699, 0.10410972984059702, 0.06938769031786493, 0.1924892341352622, -0.1641413179945342, -0.18281642366436462, -0.050848782404408426, -0.020067897324650724, 0.017558029634712993, 0.015149621949074318, 0.275735013257665, -0.05766027080566737, -0.09941038418608376, 0.3301424438522869, -0.0011107010416512649, -0.004636405879864469, 0.09255379697755922, -0.2061995454898835, -0.04372223295695797, 0.18355005668900623, 0.10209675163879425, 0.15948161064894706, -0.21774988442282134, 0.04201744582512876, 0.0594354078432993, 0.20528656291433528, 0.14431679362572636, 0.004966807165595738, 0.17450642581775644, 0.24415122999520855, -0.061059119680872825, 0.24174528526543063, -0.12521272535801312, 0.008554216709335724, -0.13030342472410655, -0.16772030866881715, -0.2133450942833118, 0.1201061297302382, -0.09797217362008465, -0.1854414444706326, 0.3344793063234774, 0.119258263248573, 0.12147915766491921, -0.07700939346812194, 0.28257042307500974, 0.05976903271018468, 0.05611600847384315, 0.025340979918837547, 0.24069618293426082, 0.2624237631105735, 0.21447150653693825, -0.31225885255144364, 0.17775482802852233, -0.04677870747326767] |
710.5706 | Negative Differential Spin Conductance by Population Switching | An examination of the properties of many-electron conduction through
spin-degenerate systems can lead to situations where increasing the bias
voltage applied to the system is predicted to decrease the current flowing
through it, for the electrons of a particular spin. While this does not
necessarily constitute negative differential conductance (NDC) per se, it is an
example of negative differential conductance per spin (NDSC) which to our
knowledge is discussed here for the first time. Within a many-body master
equation approach which accounts for charging effects in the Coulomb Blockade
regime, we show how this might occur.
| cond-mat.mes-hall cond-mat.mtrl-sci | an examination of the properties of manyelectron conduction through spindegenerate systems can lead to situations where increasing the bias voltage applied to the system is predicted to decrease the current flowing through it for the electrons of a particular spin while this does not necessarily constitute negative differential conductance ndc per se it is an example of negative differential conductance per spin ndsc which to our knowledge is discussed here for the first time within a manybody master equation approach which accounts for charging effects in the coulomb blockade regime we show how this might occur | [['an', 'examination', 'of', 'the', 'properties', 'of', 'manyelectron', 'conduction', 'through', 'spindegenerate', 'systems', 'can', 'lead', 'to', 'situations', 'where', 'increasing', 'the', 'bias', 'voltage', 'applied', 'to', 'the', 'system', 'is', 'predicted', 'to', 'decrease', 'the', 'current', 'flowing', 'through', 'it', 'for', 'the', 'electrons', 'of', 'a', 'particular', 'spin', 'while', 'this', 'does', 'not', 'necessarily', 'constitute', 'negative', 'differential', 'conductance', 'ndc', 'per', 'se', 'it', 'is', 'an', 'example', 'of', 'negative', 'differential', 'conductance', 'per', 'spin', 'ndsc', 'which', 'to', 'our', 'knowledge', 'is', 'discussed', 'here', 'for', 'the', 'first', 'time', 'within', 'a', 'manybody', 'master', 'equation', 'approach', 'which', 'accounts', 'for', 'charging', 'effects', 'in', 'the', 'coulomb', 'blockade', 'regime', 'we', 'show', 'how', 'this', 'might', 'occur']] | [-0.1489444558655745, 0.12069105192510363, -0.05206171432019849, 0.047814710071849585, -0.04016520779481844, -0.17007614824136622, 0.06188019488104864, 0.32307044295103926, -0.2854900502060589, -0.3085035080972471, -0.0064313197765793455, -0.3061812942259406, -0.16476544389795317, 0.22360009489286886, -0.0410917594514199, -0.029248108773639328, 0.028953454710886273, 0.028348510342306996, -0.06538181703500939, -0.240341534828277, 0.2721094997991857, 0.044135292369480196, 0.2592298928207081, 0.13602096228615235, 0.08400018432324655, 0.02070185187958965, 0.08326412944711353, 0.06028611728627431, -0.08678304898831381, 0.0369903247019178, 0.27789054260049995, -0.021834467895525067, 0.2865259527865993, -0.4486845724480717, -0.21238956978838694, 0.06642908950360786, 0.16583575483803686, 0.1947811854954221, -0.05906929340287063, -0.2414082221931925, 0.035276139194243834, -0.18166983548159663, -0.1064873058593979, -0.0638655008012919, 0.018318925474427247, 0.004005210056876469, -0.27099033125038996, 0.13022546096655882, 0.07796820295288374, -0.025010841202579046, -0.0436004616761286, -0.08004099398140649, -0.04466045864269529, 0.11435624137551426, 0.023018241029134707, -0.011557629778000868, 0.17543990001768658, -0.11461040086456036, -0.10715281097831106, 0.35797162059890597, -0.049040239125392154, -0.19362404609687234, 0.13536875610190788, -0.19137392176413223, -0.08890558509646278, 0.15687281026161815, 0.13921838618177723, 0.11088557794910708, -0.17864658243120893, 0.032839350490585756, 0.0054528902235784025, 0.1804925438163704, 0.007563899008949336, 0.03344477221222692, 0.22853704813475673, 0.18095545749314815, 0.08666633337147926, 0.0974840850422257, -0.09289854053211839, -0.11807237092993761, -0.3081344682723284, -0.1720652163028717, -0.17159522729680726, 0.10806275440248245, 0.0033053227504225152, -0.18381718855939413, 0.40084489787297667, 0.1931109467374259, 0.17240494184048943, -0.023860759013577513, 0.29426357274090775, 0.2419138786211414, 0.0751216353922102, 0.029642737279401015, 0.23189724585727642, 0.13052518931462576, 0.13690369659789692, -0.3140542683020038, 0.08990795869184168, -0.018430223004696402] |
710.5707 | The VSOP 5 GHz Active Galactic Nucleus Survey: V. Imaging Results for
the Remaining 140 sources | In February 1997, the Japanese radio astronomy satellite HALCA was launched
to provide the space-bourne element for the VLBI Space Observatory Programme
(VSOP) mission. Approximately twenty-five percent of the mission time was
dedicated to the VSOP Survey of bright compact Active Galactic Nuclei (AGN) at
5 GHz. This paper, the fifth in the series, presents images and models for the
remaining 140 sources not included in Paper III, which contained 102 sources.
For most sources, the plots of the uv-coverage, the visibility amplitude versus
uv-distance, and the high resolution image are presented. Model fit parameters
to the major radio components are determined, and the brightness temperature of
the core component for each source is calculated. The brightness temperature
distributions for all of the sources in the VSOP AGN survey are discussed.
| astro-ph | in february 1997 the japanese radio astronomy satellite halca was launched to provide the spacebourne element for the vlbi space observatory programme vsop mission approximately twentyfive percent of the mission time was dedicated to the vsop survey of bright compact active galactic nuclei agn at 5 ghz this paper the fifth in the series presents images and models for the remaining 140 sources not included in paper iii which contained 102 sources for most sources the plots of the uvcoverage the visibility amplitude versus uvdistance and the high resolution image are presented model fit parameters to the major radio components are determined and the brightness temperature of the core component for each source is calculated the brightness temperature distributions for all of the sources in the vsop agn survey are discussed | [['in', 'february', '1997', 'the', 'japanese', 'radio', 'astronomy', 'satellite', 'halca', 'was', 'launched', 'to', 'provide', 'the', 'spacebourne', 'element', 'for', 'the', 'vlbi', 'space', 'observatory', 'programme', 'vsop', 'mission', 'approximately', 'twentyfive', 'percent', 'of', 'the', 'mission', 'time', 'was', 'dedicated', 'to', 'the', 'vsop', 'survey', 'of', 'bright', 'compact', 'active', 'galactic', 'nuclei', 'agn', 'at', '5', 'ghz', 'this', 'paper', 'the', 'fifth', 'in', 'the', 'series', 'presents', 'images', 'and', 'models', 'for', 'the', 'remaining', '140', 'sources', 'not', 'included', 'in', 'paper', 'iii', 'which', 'contained', '102', 'sources', 'for', 'most', 'sources', 'the', 'plots', 'of', 'the', 'uvcoverage', 'the', 'visibility', 'amplitude', 'versus', 'uvdistance', 'and', 'the', 'high', 'resolution', 'image', 'are', 'presented', 'model', 'fit', 'parameters', 'to', 'the', 'major', 'radio', 'components', 'are', 'determined', 'and', 'the', 'brightness', 'temperature', 'of', 'the', 'core', 'component', 'for', 'each', 'source', 'is', 'calculated', 'the', 'brightness', 'temperature', 'distributions', 'for', 'all', 'of', 'the', 'sources', 'in', 'the', 'vsop', 'agn', 'survey', 'are', 'discussed']] | [-0.08453766228711118, 0.09960703735545505, -0.025233820029436645, 0.07414059496292745, -0.0667962519992285, -0.048914712370295106, 0.0298338858943916, 0.407744962914015, -0.14377284797089787, -0.3627572623543612, 0.1293037222726768, -0.33211168984150274, 0.001105041358884751, 0.23771132017443142, -0.029315720930809284, -0.021572664064596913, 0.04022432720814725, -0.09328791012304109, -0.0022917048550630346, -0.2650274682278169, 0.24003165214365163, 0.16911799001386602, 0.23911019584576365, -0.03342354036725432, 0.11581746329560534, -0.08372867500004252, -0.1514516718515003, -0.060754201108570216, -0.08038720905155171, 0.05680770114177966, 0.3256691301445966, 0.15920958352872377, 0.18135659518217995, -0.33298850069462343, -0.20072870237134283, 0.07153051158232003, 0.11029361412711157, -0.014675561897634378, 0.004359297575215802, -0.2921908427285784, 0.05178279426830416, -0.17527547530396237, -0.18251947783296288, 0.05518025237327541, 0.09012402383386663, 0.04305043278745454, -0.16496462866180497, 0.06888032529524435, -0.02475749054312251, 0.12071664859576307, -0.13502519360112733, -0.1264938986184829, -0.013059030489583734, 0.13401719692113404, -0.01438605397955678, 0.10703608466895255, 0.10543651120356845, -0.11387534624939599, -0.054604078579039976, 0.39565695246738447, -0.03151481421415531, 0.019117738973599935, 0.14354651482448777, -0.22536336087429795, -0.20069907160959286, 0.15679346636925887, 0.18642892836742386, 0.09003313743857709, -0.16803151277384457, 0.010021844415353143, 0.011515517114796711, 0.24336344124180556, 0.061961059540311114, 0.0378412434241187, 0.26374307641659983, 0.12765882166372683, 0.03894378777849088, 0.12621379223872572, -0.2955674962531633, -0.009448436397227337, -0.30484530160857637, -0.07936411284315506, -0.14347972484564991, 0.005050211823265466, -0.0643865560917477, -0.07193647539340856, 0.42644252368952823, 0.09036269674756571, 0.13223942554420756, 0.0022633464105839608, 0.30994721969148814, 0.054281690102852595, 0.08808432200582314, 0.10403062834383081, 0.331641741687048, 0.11916834109511452, 0.14133016771160578, -0.15592459984166362, 0.01593563144045477, -0.002493864877988364] |
710.5708 | A simple proof of uniqueness of the particle trajectories for solutions
of the Navier-Stokes equations | We give a simple proof of the uniqueness of fluid particle trajectories
corresponding to: 1) the solution of the two-dimensional Navier Stokes
equations with an initial condition that is only square integrable, and 2) the
local strong solution of the three-dimensional equations with an
$H^{1/2}$-regular initial condition i.e.\ with the minimal Sobolev regularity
known to guarantee uniqueness. This result was proved by Chemin & Lerner (J
Diff Eq 121 (1995) 314-328) using the Littlewood-Paley theory for the flow in
the whole space $\R^d$, $d\ge 2$. We first show that the solutions of the
differential equation $\dot{X}=u(X,t)$ are unique if $u\in
L^p(0,T;H^{(d/2)-1})$ for some $p>1$ and $\sqrt{t}\,u\in L^2(0,T;H^{(d/2)+1})$.
We then prove, using standard energy methods, that the solution of the
Navier-Stokes equations with initial condition in $H^{(d/2)-1}$ satisfies these
conditions. This proof is also valid for the more physically relevant case of
bounded domains.
| math.AP | we give a simple proof of the uniqueness of fluid particle trajectories corresponding to 1 the solution of the twodimensional navier stokes equations with an initial condition that is only square integrable and 2 the local strong solution of the threedimensional equations with an h12regular initial condition ie with the minimal sobolev regularity known to guarantee uniqueness this result was proved by chemin lerner j diff eq 121 1995 314328 using the littlewoodpaley theory for the flow in the whole space rd dge 2 we first show that the solutions of the differential equation dotxuxt are unique if uin lp0thd21 for some p1 and sqrttuin l20thd21 we then prove using standard energy methods that the solution of the navierstokes equations with initial condition in hd21 satisfies these conditions this proof is also valid for the more physically relevant case of bounded domains | [['we', 'give', 'a', 'simple', 'proof', 'of', 'the', 'uniqueness', 'of', 'fluid', 'particle', 'trajectories', 'corresponding', 'to', '1', 'the', 'solution', 'of', 'the', 'twodimensional', 'navier', 'stokes', 'equations', 'with', 'an', 'initial', 'condition', 'that', 'is', 'only', 'square', 'integrable', 'and', '2', 'the', 'local', 'strong', 'solution', 'of', 'the', 'threedimensional', 'equations', 'with', 'an', 'h12regular', 'initial', 'condition', 'ie', 'with', 'the', 'minimal', 'sobolev', 'regularity', 'known', 'to', 'guarantee', 'uniqueness', 'this', 'result', 'was', 'proved', 'by', 'chemin', 'lerner', 'j', 'diff', 'eq', '121', '1995', '314328', 'using', 'the', 'littlewoodpaley', 'theory', 'for', 'the', 'flow', 'in', 'the', 'whole', 'space', 'rd', 'dge', '2', 'we', 'first', 'show', 'that', 'the', 'solutions', 'of', 'the', 'differential', 'equation', 'dotxuxt', 'are', 'unique', 'if', 'uin', 'lp0thd21', 'for', 'some', 'p1', 'and', 'sqrttuin', 'l20thd21', 'we', 'then', 'prove', 'using', 'standard', 'energy', 'methods', 'that', 'the', 'solution', 'of', 'the', 'navierstokes', 'equations', 'with', 'initial', 'condition', 'in', 'hd21', 'satisfies', 'these', 'conditions', 'this', 'proof', 'is', 'also', 'valid', 'for', 'the', 'more', 'physically', 'relevant', 'case', 'of', 'bounded', 'domains']] | [-0.13129758382543782, 0.053122666847452316, -0.07447340161953535, 0.04234630026751095, -0.05217217623808042, -0.14215568024320183, -0.06148169441924741, 0.26353485389198694, -0.2904253201076278, -0.2302778613494916, 0.15990747878871236, -0.26506774375146186, -0.11211956361377681, 0.18446305525678866, -0.07051018873764271, 0.09999390216544271, 0.07864857194945216, 0.02367953968544801, -0.07437069527977319, -0.25960628151445203, 0.3607958271858041, -0.0633524153933481, 0.2124491151760729, 0.06217568412043706, 0.15024052481856887, -0.014936000869298974, 0.008466597342932666, 0.010597211532337867, -0.2507587855948562, 0.07814380250595233, 0.19707146925955182, 0.10214929252483503, 0.27925898578983765, -0.4112413167125649, -0.18167126574381082, 0.1163024566317391, 0.10280637485147626, 0.08068947082868329, -0.028042836382627247, -0.3047681021624831, 0.13454281321416298, -0.08043525255181723, -0.22852265665445615, -0.05562394899833534, 0.06279390812334087, 0.07979582998625658, -0.3467700314604574, 0.12253950173186173, 0.1397837073576671, 0.046409200525118245, -0.17557131651857938, -0.07143388475739845, -0.05571199041894741, 0.049440731125435344, 0.03370231588509072, 0.04545167864610752, 0.010858437110221497, -0.13061063953985771, -0.06271063486390092, 0.3566301342358606, -0.07162648096801368, -0.28787892801790604, 0.15471569466818538, -0.16002856254646625, -0.10918784079107421, 0.11511752533346967, 0.08630581914481741, 0.1531670078669709, -0.14308457670526373, 0.16226042149571218, -0.11546745835286047, 0.15377184253668896, 0.10407631525907804, -0.029069933519457226, 0.044927148762400504, 0.11493047369919994, 0.16999890652519686, 0.09773839443784069, -0.037675265705695855, -0.08819581325752315, -0.3932818368629173, -0.17981604116589384, -0.18052700447539488, 0.11354350637885983, -0.12020164707791992, -0.16027350514713262, 0.3419584004777587, 0.12075193476759725, 0.12724765584700637, 0.08061835243608113, 0.1954068491856257, 0.16908175823175245, -0.03328134615181221, 0.12428262044365207, 0.21792998615484166, 0.15364966091734392, 0.15951141354938347, -0.17054148541625452, -0.003169266596712448, 0.17743481003401232] |
710.5709 | From Wave Geometry to Fake Supergravity | The `Wave Geometry' equation of the pre-WWII Hiroshima program is also the
key equation of the current `fake supergravity' program. I review the status of
(fake) supersymmetric domain walls and (fake) pseudo-supersymmetric
cosmologies. An extension of the domain-wall/cosmology correspondence to a
triple correspondence with instantons shows that `pseudo-supersymmetry' has
another interpretation as Euclidean supersymmetry.
| hep-th | the wave geometry equation of the prewwii hiroshima program is also the key equation of the current fake supergravity program i review the status of fake supersymmetric domain walls and fake pseudosupersymmetric cosmologies an extension of the domainwallcosmology correspondence to a triple correspondence with instantons shows that pseudosupersymmetry has another interpretation as euclidean supersymmetry | [['the', 'wave', 'geometry', 'equation', 'of', 'the', 'prewwii', 'hiroshima', 'program', 'is', 'also', 'the', 'key', 'equation', 'of', 'the', 'current', 'fake', 'supergravity', 'program', 'i', 'review', 'the', 'status', 'of', 'fake', 'supersymmetric', 'domain', 'walls', 'and', 'fake', 'pseudosupersymmetric', 'cosmologies', 'an', 'extension', 'of', 'the', 'domainwallcosmology', 'correspondence', 'to', 'a', 'triple', 'correspondence', 'with', 'instantons', 'shows', 'that', 'pseudosupersymmetry', 'has', 'another', 'interpretation', 'as', 'euclidean', 'supersymmetry']] | [-0.1707364167444981, 0.027585496671795575, -0.10404933514431693, 0.12052827949250619, -0.1617308403723515, -0.16206201730976597, -0.034643503631321855, 0.28270171280914486, -0.20013821188611194, -0.2715144502357222, 0.11582271717578316, -0.30710623687348115, -0.17681071122821707, 0.10587301864646949, -0.09720456311389661, 0.01751445262477948, 0.015740087148375236, 0.035354006838483304, -0.09077100633518197, -0.2521135265795657, 0.3627649178698938, 0.005956204563307648, 0.24708366068080068, 0.04763404801129722, 0.1303510739862059, 0.015113488824751515, -0.039852953041330554, -0.039618315461736456, -0.13262084543398836, 0.10540399343993229, 0.23673189898881203, 0.19531205088759845, 0.12180825860167925, -0.38994946176759326, -0.18490455351331128, 0.12605679590398303, 0.16696788037930113, 0.15724492449170122, -0.04851227214497227, -0.3255789997414328, 0.02327884851883237, -0.17608947672236425, -0.17352070453433463, -0.027008910932076666, 0.02044053735712973, -0.09390877731717549, -0.15443308669357345, 0.06005254938085832, 0.03249653951766399, 0.026881863792928364, -0.045263722306117415, -0.046900642865623995, -0.09790544684689778, 0.01621449998436639, 0.13017839249536897, 0.10511041953801535, 0.08754923171363771, -0.20801832843930101, -0.21584424251117384, 0.3403203970967577, -0.02646610866381357, -0.23089742977642275, 0.13737049537639207, -0.10866366206811598, -0.10711882125514631, 0.11466147306446846, 0.09429481602273881, 0.15274203486310747, -0.15291276587567365, 0.19118546705151226, -0.07188371768587296, 0.12744075654504392, 0.062071740125807434, -0.016362936459839918, 0.2683270875657819, 0.130831913700184, 0.052708274477761455, 0.11064383724274543, 0.003915726789273322, -0.1282394218007819, -0.4852559337249169, -0.22152359819469544, -0.10139623331353785, 0.09232414569431477, -0.11904659400701909, -0.16129854092231163, 0.40768365551216096, 0.10699997819028795, 0.17157557474162716, 0.018386476162749413, 0.22952352242114452, 0.03846760941087268, 0.03599551205451672, -0.013077685869155595, 0.21078900878246015, 0.14415022161287758, 0.14754162042831573, -0.2276062663160981, -0.09223139486633815, 0.16026896413845512] |
710.571 | Angular dependence of coercivity in magnetic nanotubes | The nucleation field for infinite magnetic nanotubes, in the case of a
magnetic field applied parallel to the long axis of the tubes, is calculated as
a function of their geometric parameters and compared with those produced
inside the pores of anodic alumina membranes by atomic layer deposition. We
also extended this result to the case of an angular dependence. We observed a
transition from curling-mode rotation to coherent-mode rotation as a function
of the angle in which the external magnetic field is applied. Finally, we
observed that the internal radii of the tubes favors the magnetization curling
reversal.
| cond-mat.soft cond-mat.mtrl-sci | the nucleation field for infinite magnetic nanotubes in the case of a magnetic field applied parallel to the long axis of the tubes is calculated as a function of their geometric parameters and compared with those produced inside the pores of anodic alumina membranes by atomic layer deposition we also extended this result to the case of an angular dependence we observed a transition from curlingmode rotation to coherentmode rotation as a function of the angle in which the external magnetic field is applied finally we observed that the internal radii of the tubes favors the magnetization curling reversal | [['the', 'nucleation', 'field', 'for', 'infinite', 'magnetic', 'nanotubes', 'in', 'the', 'case', 'of', 'a', 'magnetic', 'field', 'applied', 'parallel', 'to', 'the', 'long', 'axis', 'of', 'the', 'tubes', 'is', 'calculated', 'as', 'a', 'function', 'of', 'their', 'geometric', 'parameters', 'and', 'compared', 'with', 'those', 'produced', 'inside', 'the', 'pores', 'of', 'anodic', 'alumina', 'membranes', 'by', 'atomic', 'layer', 'deposition', 'we', 'also', 'extended', 'this', 'result', 'to', 'the', 'case', 'of', 'an', 'angular', 'dependence', 'we', 'observed', 'a', 'transition', 'from', 'curlingmode', 'rotation', 'to', 'coherentmode', 'rotation', 'as', 'a', 'function', 'of', 'the', 'angle', 'in', 'which', 'the', 'external', 'magnetic', 'field', 'is', 'applied', 'finally', 'we', 'observed', 'that', 'the', 'internal', 'radii', 'of', 'the', 'tubes', 'favors', 'the', 'magnetization', 'curling', 'reversal']] | [-0.14812810692129677, 0.20199046672466475, -0.04988099687454319, 0.02656795928067499, -0.03144838315309938, -0.031245896350304336, 0.03167035407626752, 0.4255682412611762, -0.2661521686913119, -0.32250037754780236, 0.05391531295776751, -0.2124998977734256, -0.08714211474355195, 0.17438745746849893, 0.016074419704496322, 0.0070579813327640295, -0.019922884661205037, 0.0193991007321735, -0.07016960032927544, -0.1844622960755813, 0.2690941627070154, 0.05345158377835124, 0.2940696044296948, 0.05508757099994103, 0.0851613886836801, -0.0018228492855584038, 0.06771239551437117, 0.1009699704759207, -0.15931526471456553, 0.06669500196525424, 0.15067997524879642, -0.029482918796273544, 0.1614618775357982, -0.4756885754309364, -0.18574674075142933, 0.03774776935971044, 0.15211433694534696, 0.12952630012896219, -0.06599607709171154, -0.2385719892780114, 0.05445434537610596, -0.11719878243772101, -0.1831625820742215, -0.00022519296323208465, 0.038801491729790326, 0.07131400252164331, -0.28690481442266824, 0.05769400069695302, 0.09016823314295928, 0.10654364161903865, -0.13025091123315938, -0.08610564513496824, -0.0783285365641578, 0.08532315341890165, 0.1167474065849692, 0.09377391640932213, 0.2372911585322053, -0.12930808512772404, -0.0862742452546186, 0.35465687096656595, -0.09437869154408901, -0.16678248946891003, 0.14133910358566598, -0.1762886852765283, -0.0465205560111892, 0.15696885977324443, 0.13651381761853382, 0.14174943014057642, -0.10401327889796692, 0.022704213290576123, -0.027186940241720258, 0.14517538962626503, 0.11037865290706306, -0.024083038662397062, 0.2445857725010167, 0.17481204728624716, 0.027444407147038535, 0.2097202918645878, -0.17296862526383905, -0.05761755746069182, -0.2599177663742574, -0.17340592287610448, -0.1867694494664938, 0.07687204149575692, -0.09859078768241704, -0.21901542311246247, 0.39762750345272657, 0.11023766085620701, 0.21396207010623106, -0.021963942350733297, 0.2754495958569604, 0.06973283068449765, 0.1369814496396167, 0.030508859313486777, 0.26428123829003003, 0.23621926419965, 0.15231369043095516, -0.25933411865034284, 0.05455622638182081, -0.004451190419111056] |
710.5711 | Generating connected and biconnected graphs | We focus on the algorithm underlying the main result of [A. Mestre, R. Oeckl,
Generating loop graphs via Hopf algebra in quantum field theory. J. Math.
Phys., 47, 122302, 2006]. This is an algebraic formula to generate all
connected graphs in a recursive and efficient manner. The key feature is that
each graph carries a scalar factor given by the inverse of the order of its
group of automorphisms.
In the present paper, we revise that algorithm on the level of graphs.
Moreover, we extend the result subsequently to further classes of connected
graphs, namely, (edge) biconnected, simple and loopless graphs. Our method
consists of basic graph transformations only.
| math.CO | we focus on the algorithm underlying the main result of a mestre r oeckl generating loop graphs via hopf algebra in quantum field theory j math phys 47 122302 2006 this is an algebraic formula to generate all connected graphs in a recursive and efficient manner the key feature is that each graph carries a scalar factor given by the inverse of the order of its group of automorphisms in the present paper we revise that algorithm on the level of graphs moreover we extend the result subsequently to further classes of connected graphs namely edge biconnected simple and loopless graphs our method consists of basic graph transformations only | [['we', 'focus', 'on', 'the', 'algorithm', 'underlying', 'the', 'main', 'result', 'of', 'a', 'mestre', 'r', 'oeckl', 'generating', 'loop', 'graphs', 'via', 'hopf', 'algebra', 'in', 'quantum', 'field', 'theory', 'j', 'math', 'phys', '47', '122302', '2006', 'this', 'is', 'an', 'algebraic', 'formula', 'to', 'generate', 'all', 'connected', 'graphs', 'in', 'a', 'recursive', 'and', 'efficient', 'manner', 'the', 'key', 'feature', 'is', 'that', 'each', 'graph', 'carries', 'a', 'scalar', 'factor', 'given', 'by', 'the', 'inverse', 'of', 'the', 'order', 'of', 'its', 'group', 'of', 'automorphisms', 'in', 'the', 'present', 'paper', 'we', 'revise', 'that', 'algorithm', 'on', 'the', 'level', 'of', 'graphs', 'moreover', 'we', 'extend', 'the', 'result', 'subsequently', 'to', 'further', 'classes', 'of', 'connected', 'graphs', 'namely', 'edge', 'biconnected', 'simple', 'and', 'loopless', 'graphs', 'our', 'method', 'consists', 'of', 'basic', 'graph', 'transformations', 'only']] | [-0.1572062065695516, 0.07076975485620939, -0.06537580031349703, -0.0004120053479844635, -0.131107638413259, -0.1138283576928424, 0.053218216359339376, 0.377517083633898, -0.2736991958194671, -0.2995697169961339, 0.07551824393535585, -0.22914955507601714, -0.21423658510105237, 0.16557121876178793, -0.11245213811829065, -0.008271496251971391, 0.08434107824427041, 0.07958524191538648, -0.0013720150562693124, -0.2686631853160819, 0.3524058153551003, 0.018766008001640095, 0.20846386351843615, 0.05495527605267449, 0.11435851450638708, 0.047728221703976115, -0.06066586025607884, 0.03280519994613887, -0.14961072981545673, 0.14120042829718268, 0.24949075771426713, 0.13000762771332153, 0.22040534407521287, -0.38187966826026915, -0.14719259646436614, 0.1476515314705601, 0.10169403610268125, 0.08435322657411841, 0.01390889601531887, -0.24800668718483024, 0.12076120622751424, -0.16619484161061268, -0.07904327147709275, -0.06082806466643147, 0.057420870941347894, -0.020114108028118843, -0.24667856369719462, 0.01454031470887087, 0.15206799005089258, 0.05662846823084961, 0.02270336696313246, -0.10602596473634346, -0.01823772448848036, 0.09959491234083005, -0.0669726711154605, 0.06456824179433708, 0.08215173100621474, -0.0909929568615216, -0.20503463054666538, 0.33471378424265247, -0.026252208231232577, -0.14726544295748076, 0.13551824815955046, -0.08378264000984254, -0.21913272834003525, 0.09007273975294083, 0.16842311155913328, 0.16401640375800156, -0.1224959327114953, 0.16126907477909871, -0.12134243699310227, 0.1120085487038725, 0.07311992280840597, -0.04071241178273879, 0.09562540090970557, 0.14110845912903272, 0.08863652895282333, 0.19095827902977666, 0.01547902026127472, -0.061270952461873765, -0.31958173021363717, -0.15798041067103408, -0.19677706099119624, 0.046766253479290754, -0.1469226791563819, -0.18104230106325336, 0.4870134712955742, 0.1503728705660992, 0.18488038751227712, 0.08607367350702623, 0.23970406966421892, 0.09354634882765822, 0.05455433878685451, 0.1764774642177616, 0.129847171462003, 0.23306283067817007, 0.023029109092291306, -0.1472179644646261, -0.0005114452258028366, 0.1856365838062225] |
710.5712 | Why we need to see the dark matter to understand the dark energy | The cosmological concordance model contains two separate constituents which
interact only gravitationally with themselves and everything else, the dark
matter and the dark energy. In the standard dark energy models, the dark matter
makes up some 20% of the total energy budget today, while the dark energy is
responsible for about 75%. Here we show that these numbers are only robust for
specific dark energy models and that in general we cannot measure the abundance
of the dark constituents separately without making strong assumptions.
| astro-ph | the cosmological concordance model contains two separate constituents which interact only gravitationally with themselves and everything else the dark matter and the dark energy in the standard dark energy models the dark matter makes up some 20 of the total energy budget today while the dark energy is responsible for about 75 here we show that these numbers are only robust for specific dark energy models and that in general we cannot measure the abundance of the dark constituents separately without making strong assumptions | [['the', 'cosmological', 'concordance', 'model', 'contains', 'two', 'separate', 'constituents', 'which', 'interact', 'only', 'gravitationally', 'with', 'themselves', 'and', 'everything', 'else', 'the', 'dark', 'matter', 'and', 'the', 'dark', 'energy', 'in', 'the', 'standard', 'dark', 'energy', 'models', 'the', 'dark', 'matter', 'makes', 'up', 'some', '20', 'of', 'the', 'total', 'energy', 'budget', 'today', 'while', 'the', 'dark', 'energy', 'is', 'responsible', 'for', 'about', '75', 'here', 'we', 'show', 'that', 'these', 'numbers', 'are', 'only', 'robust', 'for', 'specific', 'dark', 'energy', 'models', 'and', 'that', 'in', 'general', 'we', 'can', 'not', 'measure', 'the', 'abundance', 'of', 'the', 'dark', 'constituents', 'separately', 'without', 'making', 'strong', 'assumptions']] | [-0.1267064416452366, 0.18334382563377458, -0.10344923547852565, 0.18305212753030525, -0.11338437914656585, -0.12426844288540237, -0.014840908973094294, 0.33043206325211727, -0.2466443236478988, -0.44946251452407415, 0.014913398013724124, -0.27500755606109606, 0.011284256595022538, 0.15115088779643615, 0.025754313343478476, -0.020096233137883245, -0.0029424373361775103, 0.0725619951619164, 0.02098216020556934, -0.2763770454179715, 0.33808989168747383, 0.05460970011704108, 0.20222327951889704, 0.06536231487989426, 0.10003857566591572, -0.06320906993659103, -0.057835432109149064, -0.03920538871384719, -0.1474503277480835, 0.07317193929544266, 0.1643102065753363, 0.11008910429390038, 0.21878884394981843, -0.4518467776258202, -0.231518153966788, 0.22943756674580715, 0.11902940224527436, 0.10658167333424311, -0.08309574893073124, -0.24988792983486371, 0.08048546547070146, -0.18038161144975354, -0.09246669955113355, -0.06027070242254173, -0.0368910377516466, 0.028110768409747192, -0.1815126770778614, 0.15234364872688758, -0.015585185461403693, -0.10722027095582555, -0.12037394180455628, -0.12785410548916415, -0.06949515154804377, 0.027926202244399224, 0.07092056884293389, -0.05400654279270812, 0.19889077002401737, -0.2529579912171946, -0.017025926138055238, 0.43479416922611347, -0.12376091719659812, -0.16438820183222347, 0.22230126806260908, -0.10221926631296382, -0.16323012586354332, 0.13700453463174841, 0.08552349233890282, 0.05055525462307474, -0.15780615695916556, 0.10500573355718242, -0.05003453214817187, 0.2583714717012994, 0.05034763952717185, 0.059640061480732746, 0.35012589425725094, 0.1240536034490694, 0.06103769684319987, -0.006069553468157263, -0.06943201271488386, -0.09688433631158927, -0.3468657752389417, -0.1911561706541654, -0.13426517100785584, 0.026179601353600018, -0.07259536393702386, -0.09092144066577448, 0.3680713299607091, 0.12339013779607794, 0.17342615246444065, 0.038879680317169166, 0.36060844095533384, 0.04307035105029011, 0.053173862267559505, 0.10282290426137693, 0.3338071763587376, 0.07853006421424011, 0.06692773109740194, -0.14746716167668208, 0.005407787804656169, -0.06318738336729653] |
710.5713 | Complete families of linearly non-degenerate rational curves | We prove that a complete family of linearly non-degenerate rational curves of
degree $e > 2$ in $\mathbb{P}^n$ has at most $n-1$ moduli. For $e = 2$ we prove
that such a family has at most $n$ moduli. It is unknown whether or not this is
the best possible result. The general method involves exhibiting a map from the
base of a family $X$ to the Grassmaninian of $e$-planes in $\mathbb{P}^n$ and
analyzing the resulting map on cohomology.
| math.AG | we prove that a complete family of linearly nondegenerate rational curves of degree e 2 in mathbbpn has at most n1 moduli for e 2 we prove that such a family has at most n moduli it is unknown whether or not this is the best possible result the general method involves exhibiting a map from the base of a family x to the grassmaninian of eplanes in mathbbpn and analyzing the resulting map on cohomology | [['we', 'prove', 'that', 'a', 'complete', 'family', 'of', 'linearly', 'nondegenerate', 'rational', 'curves', 'of', 'degree', 'e', '2', 'in', 'mathbbpn', 'has', 'at', 'most', 'n1', 'moduli', 'for', 'e', '2', 'we', 'prove', 'that', 'such', 'a', 'family', 'has', 'at', 'most', 'n', 'moduli', 'it', 'is', 'unknown', 'whether', 'or', 'not', 'this', 'is', 'the', 'best', 'possible', 'result', 'the', 'general', 'method', 'involves', 'exhibiting', 'a', 'map', 'from', 'the', 'base', 'of', 'a', 'family', 'x', 'to', 'the', 'grassmaninian', 'of', 'eplanes', 'in', 'mathbbpn', 'and', 'analyzing', 'the', 'resulting', 'map', 'on', 'cohomology']] | [-0.18055007046692678, 0.062759602706678, -0.0835954816886098, 0.005916121599855958, -0.05332271633292171, -0.13924235634103016, 0.028850575802042276, 0.33155041751829356, -0.3046496745003891, -0.22747167260889467, 0.07981330266763531, -0.2885960153228528, -0.17317071842105203, 0.22413819079048228, -0.08336878092833669, 0.013289214448525093, -0.0008370786703921653, 0.10831141739932669, -0.044487892764123356, -0.29548391901158, 0.40266658855929366, -0.05044842992179297, 0.21518922105079163, 0.02434937166352127, 0.14653029299114603, 0.006062409569937232, 0.020525469450984855, -0.014696034590235434, -0.1233053829442675, 0.12765014768150207, 0.29212381524612774, 0.13677310194769823, 0.20603429510988094, -0.3203945459697295, -0.17758366479412527, 0.24282203615341033, 0.12220203145281286, 0.06284529829045406, 0.01581320386046443, -0.14663486686107274, 0.14594493391042626, -0.09923260273098021, -0.21185332436013865, -0.06873666408245226, 0.10146536211155958, -0.00794817424203093, -0.2606263244839234, -0.03172799095360411, 0.1062014566331699, 0.10549899220869348, -0.021256643013927986, -0.10846334190510616, -0.09903847331785269, 0.044247913555040756, -0.00524813962496213, 0.11747329059761723, 0.02890817406964866, -0.1127667449056045, -0.06798877850225246, 0.38273808845347174, -0.09221617031741787, -0.20464118043703303, 0.14952871656498393, -0.18813618614866928, -0.1766509002867482, 0.16823185995422504, 0.12713972426246148, 0.21685005913211688, -0.042258874525794306, 0.18319710315680257, -0.09918229394463345, 0.13762304078271562, 0.09512720205443534, -0.015314898707721432, 0.16101719272901882, 0.14669937276394684, 0.12632845319505479, 0.10342564663025425, -0.061530199263723113, -0.016055106733629882, -0.34954356814961174, -0.17907610718425163, -0.15887369334420845, 0.16883287302275798, -0.09630366827882794, -0.13925433423168757, 0.402925545802793, 0.03671317683167856, 0.2502017510123551, 0.08522217086440809, 0.2018458281165442, 0.0503617933372388, 0.00621563642965378, 0.09249596635030734, 0.18849880932956128, 0.08371897672328192, -0.03319506574346608, -0.119336766812233, 0.051074101728059956, 0.11937538598588593] |
710.5714 | Fusion of neutron rich oxygen isotopes in the crust of accreting neutron
stars | Fusion reactions in the crust of an accreting neutron star are an important
source of heat, and the depth at which these reactions occur is important for
determining the temperature profile of the star. Fusion reactions depend
strongly on the nuclear charge $Z$. Nuclei with $Z\le 6$ can fuse at low
densities in a liquid ocean. However, nuclei with Z=8 or 10 may not burn until
higher densities where the crust is solid and electron capture has made the
nuclei neutron rich. We calculate the $S$ factor for fusion reactions of
neutron rich nuclei including $^{24}$O + $^{24}$O and $^{28}$Ne + $^{28}$Ne. We
use a simple barrier penetration model. The $S$ factor could be further
enhanced by dynamical effects involving the neutron rich skin. This possible
enhancement in $S$ should be studied in the laboratory with neutron rich
radioactive beams. We model the structure of the crust with molecular dynamics
simulations. We find that the crust of accreting neutron stars may contain
micro-crystals or regions of phase separation. Nevertheless, the screening
factors that we determine for the enhancement of the rate of thermonuclear
reactions are insensitive to these features. Finally, we calculate the rate of
thermonuclear $^{24}$O + $^{24}$O fusion and find that $^{24}$O should burn at
densities near $10^{11}$ g/cm$^3$. The energy released from this and similar
reactions may be important for the temperature profile of the star.
| astro-ph nucl-th | fusion reactions in the crust of an accreting neutron star are an important source of heat and the depth at which these reactions occur is important for determining the temperature profile of the star fusion reactions depend strongly on the nuclear charge z nuclei with zle 6 can fuse at low densities in a liquid ocean however nuclei with z8 or 10 may not burn until higher densities where the crust is solid and electron capture has made the nuclei neutron rich we calculate the s factor for fusion reactions of neutron rich nuclei including 24o 24o and 28ne 28ne we use a simple barrier penetration model the s factor could be further enhanced by dynamical effects involving the neutron rich skin this possible enhancement in s should be studied in the laboratory with neutron rich radioactive beams we model the structure of the crust with molecular dynamics simulations we find that the crust of accreting neutron stars may contain microcrystals or regions of phase separation nevertheless the screening factors that we determine for the enhancement of the rate of thermonuclear reactions are insensitive to these features finally we calculate the rate of thermonuclear 24o 24o fusion and find that 24o should burn at densities near 1011 gcm3 the energy released from this and similar reactions may be important for the temperature profile of the star | [['fusion', 'reactions', 'in', 'the', 'crust', 'of', 'an', 'accreting', 'neutron', 'star', 'are', 'an', 'important', 'source', 'of', 'heat', 'and', 'the', 'depth', 'at', 'which', 'these', 'reactions', 'occur', 'is', 'important', 'for', 'determining', 'the', 'temperature', 'profile', 'of', 'the', 'star', 'fusion', 'reactions', 'depend', 'strongly', 'on', 'the', 'nuclear', 'charge', 'z', 'nuclei', 'with', 'zle', '6', 'can', 'fuse', 'at', 'low', 'densities', 'in', 'a', 'liquid', 'ocean', 'however', 'nuclei', 'with', 'z8', 'or', '10', 'may', 'not', 'burn', 'until', 'higher', 'densities', 'where', 'the', 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710.5715 | Progress in Gauge Invariant Lagrangian Construction for Massive Higher
Spin Fields | We review the recently developed general gauge invariant approach to
Lagrangian construction for massive higher spin fields in Minkowski and AdS
spaces of arbitrary dimension. Higher spin Lagrangian, describing the dynamics
of the fields with any spin, is formulated with help of BRST-BFV operator in
auxiliary Fock space. No off-shell constraints on the fields and gauge
parameters are imposed. The construction is also applied to tensor higher spin
fields with index symmetry corresponding to a multirow Young tableau.
| hep-th | we review the recently developed general gauge invariant approach to lagrangian construction for massive higher spin fields in minkowski and ads spaces of arbitrary dimension higher spin lagrangian describing the dynamics of the fields with any spin is formulated with help of brstbfv operator in auxiliary fock space no offshell constraints on the fields and gauge parameters are imposed the construction is also applied to tensor higher spin fields with index symmetry corresponding to a multirow young tableau | [['we', 'review', 'the', 'recently', 'developed', 'general', 'gauge', 'invariant', 'approach', 'to', 'lagrangian', 'construction', 'for', 'massive', 'higher', 'spin', 'fields', 'in', 'minkowski', 'and', 'ads', 'spaces', 'of', 'arbitrary', 'dimension', 'higher', 'spin', 'lagrangian', 'describing', 'the', 'dynamics', 'of', 'the', 'fields', 'with', 'any', 'spin', 'is', 'formulated', 'with', 'help', 'of', 'brstbfv', 'operator', 'in', 'auxiliary', 'fock', 'space', 'no', 'offshell', 'constraints', 'on', 'the', 'fields', 'and', 'gauge', 'parameters', 'are', 'imposed', 'the', 'construction', 'is', 'also', 'applied', 'to', 'tensor', 'higher', 'spin', 'fields', 'with', 'index', 'symmetry', 'corresponding', 'to', 'a', 'multirow', 'young', 'tableau']] | [-0.137861663236832, 0.24324718885905802, -0.05807028519801605, 0.10476186318406597, -0.1554915404591996, -0.11088884584247492, -0.06355975630382697, 0.35250648987503386, -0.16301201744817007, -0.2940489743263103, 0.07849765258530776, -0.18030719462638864, -0.12939519680534992, 0.1282044082450179, -0.03852170044317459, 0.03190003127719347, -0.021051050295145847, 0.07773704181473033, -0.14154418020580822, -0.2694619558393382, 0.378796861309988, 0.024064468127341032, 0.2726914612098764, -0.0025377156965147992, 0.17001820262521505, 0.08450918130648251, -0.035367928158778414, 0.007377171661713733, -0.10912499920679973, 0.1542819998680781, 0.2302637297170571, 0.067834041830606, 0.12619783370516813, -0.4131892835482573, -0.19751078933283375, 0.09683271506443046, 0.11109615876100576, 0.152978348868111, -0.015953832910431977, -0.3110464592106067, 0.04749702288506505, -0.1802925796319659, -0.20024434629027757, -0.12194981183617926, 0.002129910743604295, -0.08897976707428312, -0.29258713375729245, 0.043852296702262275, 0.05044024009317255, 0.07863788299362522, -0.09796211407639277, -0.12007383332820609, -0.09664371939232716, 0.04041254776977719, 0.07723826076238392, 0.10852240799114299, 0.12138297604337239, -0.1693001900268241, -0.1750784317532984, 0.34527229775006, -0.07868791013382949, -0.32094775608334786, 0.1807894240676736, -0.15221797060579634, -0.16408461555002782, 0.10429516151690713, 0.1537603435631937, 0.14834645511104894, -0.13808378238135424, 0.19230088624858466, -0.007989298271683928, 0.09558480525484835, 0.07734006765680626, 0.0870816506324515, 0.18327886084070763, 0.06136082450692088, 0.09216637717476353, 0.14345016703009605, 0.013984304664728161, -0.14549554846449517, -0.3130056368998992, -0.17833102806784715, -0.14367084798271743, 0.06529951323635685, -0.12379347135347182, -0.13672872461999455, 0.3767149036284536, 0.1299370949347623, 0.11385600555177706, 0.04627247775594393, 0.23603920671993342, 0.15994303262171647, 0.12620845646597445, 0.059032368300578154, 0.19304159295578033, 0.24549943703011826, 0.06777861513770543, -0.20447844576735336, -0.11438243329310073, 0.15590627330283707] |
710.5716 | RNA Secondary Structures: Complex Statics and Glassy Dynamics | Models for RNA secondary structures (the topology of folded RNA) without
pseudo knots are disordered systems with a complex state-space below a critical
temperature. Hence, a complex dynamical (glassy) behavior can be expected, when
performing Monte Carlo simulation. Interestingly, in contrast to most other
complex systems, the ground states and the density of states can be computed in
polynomial time exactly using transfer matrix methods. Hence, RNA secondary
structure is an ideal model to study the relation between static/thermodynamic
properties and dynamics of algorithms. Also they constitute an ideal benchmark
system for new Monte Carlo methods.
Here we considered three different recent Monte Carlo approaches: entropic
sampling using flat histograms, optimized-weights ensembles, and ParQ, which
estimates the density of states from transition matrices.
These methods were examined by comparing the obtained density of states with
the exact results. We relate the complexity seen in the dynamics of the Monte
Carlo algorithms to static properties of the phase space by studying the
correlations between tunneling times, sampling errors, amount of meta-stable
states and degree of ultrametricity at finite temperature.
| cond-mat.dis-nn cond-mat.stat-mech q-bio.BM | models for rna secondary structures the topology of folded rna without pseudo knots are disordered systems with a complex statespace below a critical temperature hence a complex dynamical glassy behavior can be expected when performing monte carlo simulation interestingly in contrast to most other complex systems the ground states and the density of states can be computed in polynomial time exactly using transfer matrix methods hence rna secondary structure is an ideal model to study the relation between staticthermodynamic properties and dynamics of algorithms also they constitute an ideal benchmark system for new monte carlo methods here we considered three different recent monte carlo approaches entropic sampling using flat histograms optimizedweights ensembles and parq which estimates the density of states from transition matrices these methods were examined by comparing the obtained density of states with the exact results we relate the complexity seen in the dynamics of the monte carlo algorithms to static properties of the phase space by studying the correlations between tunneling times sampling errors amount of metastable states and degree of ultrametricity at finite temperature | [['models', 'for', 'rna', 'secondary', 'structures', 'the', 'topology', 'of', 'folded', 'rna', 'without', 'pseudo', 'knots', 'are', 'disordered', 'systems', 'with', 'a', 'complex', 'statespace', 'below', 'a', 'critical', 'temperature', 'hence', 'a', 'complex', 'dynamical', 'glassy', 'behavior', 'can', 'be', 'expected', 'when', 'performing', 'monte', 'carlo', 'simulation', 'interestingly', 'in', 'contrast', 'to', 'most', 'other', 'complex', 'systems', 'the', 'ground', 'states', 'and', 'the', 'density', 'of', 'states', 'can', 'be', 'computed', 'in', 'polynomial', 'time', 'exactly', 'using', 'transfer', 'matrix', 'methods', 'hence', 'rna', 'secondary', 'structure', 'is', 'an', 'ideal', 'model', 'to', 'study', 'the', 'relation', 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'temperature']] | [-0.10784781616846366, 0.18011048915014335, -0.11109591062978974, 0.11584563838384514, 0.04051671581608909, -0.1305220737900319, 0.036114732462114524, 0.39895772494375703, -0.29691143912728873, -0.31510115010597345, 0.07125064489099064, -0.2745265395832913, -0.14254100301169922, 0.19326642786152662, 0.034781815630516834, 0.0912067775621212, 0.08671177101986749, -0.011837776876719934, -0.13897449472453446, -0.2099239265599421, 0.290654525347054, 0.09764038492260235, 0.2613042767957917, -0.017695265370088496, 0.056112731768350514, -0.0013272684220490712, 0.02914964338631502, 0.05594678445037321, -0.17705512695413614, 0.09748631576907688, 0.24394162069301403, 0.08938100661949387, 0.19930170542693565, -0.4367001999701772, -0.23634554025317941, 0.13346921653220697, 0.14677159580002938, 0.14834845389306012, -0.02914505002221891, -0.29096165870449375, 0.06294204462319612, -0.14466016330964132, -0.1177186300286225, -0.10999772763811051, -0.031219023929110596, 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710.5717 | Low-momentum ring diagrams of neutron matter at and near the unitary
limit | We study neutron matter at and near the unitary limit using a low-momentum
ring diagram approach. By slightly tuning the meson-exchange CD-Bonn potential,
neutron-neutron potentials with various $^1S_0$ scattering lengths such as
$a_s=-12070fm$ and $+21fm$ are constructed. Such potentials are renormalized
with rigorous procedures to give the corresponding $a_s$-equivalent
low-momentum potentials $V_{low-k}$, with which the low-momentum
particle-particle hole-hole ring diagrams are summed up to all orders, giving
the ground state energy $E_0$ of neutron matter for various scattering lengths.
At the limit of $a_s\to \pm \infty$, our calculated ratio of $E_0$ to that of
the non-interacting case is found remarkably close to a constant of 0.44 over a
wide range of Fermi-momenta. This result reveals an universality that is well
consistent with the recent experimental and Monte-Carlo computational study on
low-density cold Fermi gas at the unitary limit. The overall behavior of this
ratio obtained with various scattering lengths is presented and discussed.
Ring-diagram results obtained with $V_{low-k}$ and those with $G$-matrix
interactions are compared.
| nucl-th | we study neutron matter at and near the unitary limit using a lowmomentum ring diagram approach by slightly tuning the mesonexchange cdbonn potential neutronneutron potentials with various 1s_0 scattering lengths such as a_s12070fm and 21fm are constructed such potentials are renormalized with rigorous procedures to give the corresponding a_sequivalent lowmomentum potentials v_lowk with which the lowmomentum particleparticle holehole ring diagrams are summed up to all orders giving the ground state energy e_0 of neutron matter for various scattering lengths at the limit of a_sto pm infty our calculated ratio of e_0 to that of the noninteracting case is found remarkably close to a constant of 044 over a wide range of fermimomenta this result reveals an universality that is well consistent with the recent experimental and montecarlo computational study on lowdensity cold fermi gas at the unitary limit the overall behavior of this ratio obtained with various scattering lengths is presented and discussed ringdiagram results obtained with v_lowk and those with gmatrix interactions are compared | [['we', 'study', 'neutron', 'matter', 'at', 'and', 'near', 'the', 'unitary', 'limit', 'using', 'a', 'lowmomentum', 'ring', 'diagram', 'approach', 'by', 'slightly', 'tuning', 'the', 'mesonexchange', 'cdbonn', 'potential', 'neutronneutron', 'potentials', 'with', 'various', '1s_0', 'scattering', 'lengths', 'such', 'as', 'a_s12070fm', 'and', '21fm', 'are', 'constructed', 'such', 'potentials', 'are', 'renormalized', 'with', 'rigorous', 'procedures', 'to', 'give', 'the', 'corresponding', 'a_sequivalent', 'lowmomentum', 'potentials', 'v_lowk', 'with', 'which', 'the', 'lowmomentum', 'particleparticle', 'holehole', 'ring', 'diagrams', 'are', 'summed', 'up', 'to', 'all', 'orders', 'giving', 'the', 'ground', 'state', 'energy', 'e_0', 'of', 'neutron', 'matter', 'for', 'various', 'scattering', 'lengths', 'at', 'the', 'limit', 'of', 'a_sto', 'pm', 'infty', 'our', 'calculated', 'ratio', 'of', 'e_0', 'to', 'that', 'of', 'the', 'noninteracting', 'case', 'is', 'found', 'remarkably', 'close', 'to', 'a', 'constant', 'of', '044', 'over', 'a', 'wide', 'range', 'of', 'fermimomenta', 'this', 'result', 'reveals', 'an', 'universality', 'that', 'is', 'well', 'consistent', 'with', 'the', 'recent', 'experimental', 'and', 'montecarlo', 'computational', 'study', 'on', 'lowdensity', 'cold', 'fermi', 'gas', 'at', 'the', 'unitary', 'limit', 'the', 'overall', 'behavior', 'of', 'this', 'ratio', 'obtained', 'with', 'various', 'scattering', 'lengths', 'is', 'presented', 'and', 'discussed', 'ringdiagram', 'results', 'obtained', 'with', 'v_lowk', 'and', 'those', 'with', 'gmatrix', 'interactions', 'are', 'compared']] | [-0.1117516810957325, 0.17474446437324856, -0.07611570114187421, 0.06526411986571407, 0.034790390876833326, -0.1112660242921401, 0.015512563941873008, 0.3713085994078136, -0.21310531663251406, -0.29491072461610623, -0.03813320364201476, -0.3352324050758613, -0.04436126657362495, 0.1997764325463531, 0.09102557093680183, 0.047182036300554224, 0.05051897430607343, 0.041138370949427905, -0.12076496118563951, -0.2043354269585309, 0.3184102844354344, 0.06495693364464071, 0.23840373032292503, 0.1137440516642347, 0.02120733234679951, 0.06889680437078434, 0.017951126597960543, -0.021547196123471356, -0.17656965363781207, 0.06178773927461842, 0.26715198269270085, -0.04482319192116305, 0.1258918518686424, -0.37838824662547677, -0.17989912824936627, 0.08754534727997892, 0.1562027963621669, 0.1229147785798768, -0.016108491050906663, -0.3282843755532102, 0.06509015269675841, -0.2269008631918504, -0.18045074492403718, -0.1061116669425359, 0.022492979690779624, 0.06886135648808772, -0.27881580969515424, 0.08511247681251363, -0.024615113366748098, 0.044502720244009024, -0.08009536241279533, -0.2028319025990663, 0.016081372872486663, 0.07293625862875618, 0.07165933458672501, 0.07190168728135087, 0.14279565138175435, -0.12743361725512406, -0.030085511786880563, 0.3874759780668208, -0.06944258102817426, -0.11516207773007037, 0.208256753222288, -0.12842725406499197, -0.06793587681727473, 0.17855547485086395, 0.07033467968139126, 0.07161947851132902, -0.15946971545551228, 0.1168214351250443, -0.020296504339261084, 0.1424548541823321, 0.08661957893242932, 0.05715464097476616, 0.18300568377664198, 0.14803930457322773, -0.008450817142870647, 0.09080586035270244, -0.08887258645071885, -0.11952730993051892, -0.31261762761458844, -0.004434748412462773, -0.16560547409784512, 0.03983442520618624, -0.11755134697715384, -0.12951960455429573, 0.32438340058307286, 0.09430957784563858, 0.22498220582517958, 0.0837550704368905, 0.26535144053769777, 0.14332116226035152, 0.06172340889880723, 0.060278104227007315, 0.27615544396403435, 0.17604691071742393, 0.05265506100768559, -0.26712872068034715, -0.02666429815863068, 0.06610535791936267] |
710.5718 | Normal triangulations in o-minimal structures | We work over an o-minimal expansion of a real closed field R. Given a closed
simplicial complex K and a finite number of definable subsets of its
realization |K| in R we prove that there exists a triangulation (K',f) of |K|
compatible with the definable subsets such that K' is a subdivision of K and f
is definably homotopic to the identity on |K|.
| math.LO | we work over an ominimal expansion of a real closed field r given a closed simplicial complex k and a finite number of definable subsets of its realization k in r we prove that there exists a triangulation kf of k compatible with the definable subsets such that k is a subdivision of k and f is definably homotopic to the identity on k | [['we', 'work', 'over', 'an', 'ominimal', 'expansion', 'of', 'a', 'real', 'closed', 'field', 'r', 'given', 'a', 'closed', 'simplicial', 'complex', 'k', 'and', 'a', 'finite', 'number', 'of', 'definable', 'subsets', 'of', 'its', 'realization', 'k', 'in', 'r', 'we', 'prove', 'that', 'there', 'exists', 'a', 'triangulation', 'kf', 'of', 'k', 'compatible', 'with', 'the', 'definable', 'subsets', 'such', 'that', 'k', 'is', 'a', 'subdivision', 'of', 'k', 'and', 'f', 'is', 'definably', 'homotopic', 'to', 'the', 'identity', 'on', 'k']] | [-0.29089892127376515, 0.09221873856790808, -0.07886365649392246, -0.02971870438705082, -0.11219273653114215, -0.12249075270665344, 0.06701101869475679, 0.38559295021696016, -0.32294929044292076, -0.1574079655110836, 0.023050979367326363, -0.26480235857889056, -0.09004521589668002, 0.17955538118803815, -0.07424078463373007, -0.05484490041726531, 0.01149208346987507, 0.19983490416780114, -0.02170302796002943, -0.308162547997199, 0.3388864707958419, -0.12010031781392172, 0.11793107368066558, 0.05473366059595719, 0.125891962692549, -0.0444541390897939, 0.03165274828643305, 0.13609386648749933, -0.2087932440711029, 0.11137860648159403, 0.341649374604458, 0.17579306754123536, 0.24819297506473958, -0.34630276999087073, -0.1714654069946846, 0.22256330866366625, 0.11311520295566879, -0.07400851498823613, -0.011643440839179675, -0.24294726533116773, 0.19489900114422198, -0.09004867423209362, -0.13307440929929726, -0.09354015838471241, 0.14500419294381572, -0.036686558480141684, -0.3160679641587194, -0.08366652444237843, 0.15003682221868075, 0.20376744019449688, -0.012613878412594204, -0.10675011613056995, -0.01663193646527361, 0.039135607265052386, -0.0744856179881026, 0.15905624769220594, 0.09204179620428476, -0.03205978513142327, -0.06350223359186202, 0.3765596987796016, -0.15406598524714354, -0.15132361275027506, 0.14982576329202857, -0.1802000745665282, -0.1281116741738515, 0.17332144116517156, 0.03171882552851457, 0.1874587323400192, -0.02020572664332576, 0.3058402488804859, -0.20590975783125032, 0.11726588165765861, 0.11646252153150272, -0.021799167749122716, 0.12434491920066648, 0.0891817651281599, 0.11425777684053173, 0.1522434512808104, 0.04375603866719757, 0.012517609458882362, -0.3777404067805037, -0.17985293369565625, -0.18103352129401173, 0.15464470733422786, -0.18106351346023075, -0.2754959590965882, 0.3260098229511641, 0.0729247193557967, 0.21297983367003326, 0.11187657606205903, 0.26581241387430055, 0.021006566894357093, 0.04356347895372892, 0.12985444399237167, -0.020147928793448955, 0.2255434667604277, -0.08877990654036694, -0.14552661644120235, 0.003872047875120188, 0.1037093228806043] |
710.5719 | Shear Viscosity in a Gluon Gas | The relation of the shear viscosity coefficient to the recently introduced
transport rate is derived within relativistic kinetic theory. We calculate the
shear viscosity over entropy ratio \eta/s for a gluon gas, which involves
elastic gg-> gg perturbative QCD (PQCD) scatterings as well as inelastic
gg<->ggg PQCD bremsstrahlung. For \alpha_s=0.3 we find \eta/s=0.13 and for
\alpha_s=0.6, \eta/s=0.076. The small \eta/s values, which suggest strongly
coupled systems, are due to the gluon bremsstrahlung incorporated.
| nucl-th hep-ph | the relation of the shear viscosity coefficient to the recently introduced transport rate is derived within relativistic kinetic theory we calculate the shear viscosity over entropy ratio etas for a gluon gas which involves elastic gg gg perturbative qcd pqcd scatterings as well as inelastic ggggg pqcd bremsstrahlung for alpha_s03 we find etas013 and for alpha_s06 etas0076 the small etas values which suggest strongly coupled systems are due to the gluon bremsstrahlung incorporated | [['the', 'relation', 'of', 'the', 'shear', 'viscosity', 'coefficient', 'to', 'the', 'recently', 'introduced', 'transport', 'rate', 'is', 'derived', 'within', 'relativistic', 'kinetic', 'theory', 'we', 'calculate', 'the', 'shear', 'viscosity', 'over', 'entropy', 'ratio', 'etas', 'for', 'a', 'gluon', 'gas', 'which', 'involves', 'elastic', 'gg', 'gg', 'perturbative', 'qcd', 'pqcd', 'scatterings', 'as', 'well', 'as', 'inelastic', 'ggggg', 'pqcd', 'bremsstrahlung', 'for', 'alpha_s03', 'we', 'find', 'etas013', 'and', 'for', 'alpha_s06', 'etas0076', 'the', 'small', 'etas', 'values', 'which', 'suggest', 'strongly', 'coupled', 'systems', 'are', 'due', 'to', 'the', 'gluon', 'bremsstrahlung', 'incorporated']] | [-0.09206516957658875, 0.2570426631984966, -0.1338476874283515, 0.10858718913347859, -0.009074232088668005, -0.07968820657448045, -0.03591882347162547, 0.2715455206776304, -0.2711706368385681, -0.17668523415923118, -0.04741260010882148, -0.29289424400776626, 0.003438573789649776, 0.1491013410434659, 0.07316048297964568, 0.12568935690568261, 0.03377364698930511, -0.01380011923611164, -0.01263396722663726, -0.19458603237705704, 0.30828172543884386, 0.10077226719419871, 0.25427225631262573, 0.2130341759483729, 0.06781225489186389, 0.059944146948068266, -0.04474396392969149, 0.04163630022002118, -0.22295266085171273, -0.029191798796611174, 0.27485833298414947, -0.0636306064868612, 0.1086041161524398, -0.3572114357724786, -0.2380537275224924, 0.007206713255228741, 0.15197859077514814, 0.0717526425574241, 0.039957796609295264, -0.160846244197871, 0.03756402771770289, -0.2988458098843694, -0.08307131020618337, -0.14632297217779394, 0.03511919747771961, -0.04184595722971218, -0.3921530557929405, 0.23438767457846552, -0.054969214959003566, -0.06587383656629495, -0.028955020808747838, -0.1796017569622823, -0.05357145880947688, -0.022366689212088075, 0.18230337155650236, 0.10089501554944685, 0.2344409518209951, -0.2315278156327882, -0.06625945235469512, 0.4135452927223274, -0.0576395812710481, -0.14006430084368082, 0.18135052592094456, -0.14265011799122607, -0.10903150723981006, 0.18524097305988627, 0.18420775032469205, 0.1282983367397849, -0.1673884062761707, 0.09239916799706407, 0.001501821169430124, 0.1572595246934465, 0.0782949811479609, 0.028256689000409098, 0.2011407544769879, 0.1422334906046412, -0.07044285986173365, 0.10613424555132432, -0.08902800597383508, -0.09986323187393802, -0.3653378217614123, -0.09944437184811769, -0.12234667387757717, 0.11058668049850634, -0.14343007161660354, -0.163349548619174, 0.2101044228300452, 0.11360307724348136, 0.22854148507716932, 0.0809305375708001, 0.30847817880567163, 0.23154924240162864, 0.047845118625887806, 0.1309339930369918, 0.3535593125436987, 0.2670255049930087, 0.11786667647206091, -0.3247381364411142, 0.023665402747532687, 0.16129333583105887] |
710.572 | Spin polaron in the J1-J2 Heisenberg model | We have studied the validity of the spin polaron picture in the frustrated
J1-J2 Heisenberg model. For this purpose, we have computed the hole spectral
functions for the Neel, collinear, and disordered phases of this model, by
means of the self-consistent Born approximation and Lanczos exact
diagonalization on finite-size clusters. We have found that the spin polaron
quasiparticle excitation is always well defined for the magnetically ordered
Neel and collinear phases, even in the vicinity of the magnetic quantum
critical points, where the local magnetization vanishes. As a general feature,
the effect of frustration is to increase the amplitude of the multimagnon
states that build up the spin polaron wave function, leading to the reduction
of the quasiparticle coherence. Based on Lanczos results, we discuss the
validity of the spin polaron picture in the disordered phase.
| cond-mat.str-el | we have studied the validity of the spin polaron picture in the frustrated j1j2 heisenberg model for this purpose we have computed the hole spectral functions for the neel collinear and disordered phases of this model by means of the selfconsistent born approximation and lanczos exact diagonalization on finitesize clusters we have found that the spin polaron quasiparticle excitation is always well defined for the magnetically ordered neel and collinear phases even in the vicinity of the magnetic quantum critical points where the local magnetization vanishes as a general feature the effect of frustration is to increase the amplitude of the multimagnon states that build up the spin polaron wave function leading to the reduction of the quasiparticle coherence based on lanczos results we discuss the validity of the spin polaron picture in the disordered phase | [['we', 'have', 'studied', 'the', 'validity', 'of', 'the', 'spin', 'polaron', 'picture', 'in', 'the', 'frustrated', 'j1j2', 'heisenberg', 'model', 'for', 'this', 'purpose', 'we', 'have', 'computed', 'the', 'hole', 'spectral', 'functions', 'for', 'the', 'neel', 'collinear', 'and', 'disordered', 'phases', 'of', 'this', 'model', 'by', 'means', 'of', 'the', 'selfconsistent', 'born', 'approximation', 'and', 'lanczos', 'exact', 'diagonalization', 'on', 'finitesize', 'clusters', 'we', 'have', 'found', 'that', 'the', 'spin', 'polaron', 'quasiparticle', 'excitation', 'is', 'always', 'well', 'defined', 'for', 'the', 'magnetically', 'ordered', 'neel', 'and', 'collinear', 'phases', 'even', 'in', 'the', 'vicinity', 'of', 'the', 'magnetic', 'quantum', 'critical', 'points', 'where', 'the', 'local', 'magnetization', 'vanishes', 'as', 'a', 'general', 'feature', 'the', 'effect', 'of', 'frustration', 'is', 'to', 'increase', 'the', 'amplitude', 'of', 'the', 'multimagnon', 'states', 'that', 'build', 'up', 'the', 'spin', 'polaron', 'wave', 'function', 'leading', 'to', 'the', 'reduction', 'of', 'the', 'quasiparticle', 'coherence', 'based', 'on', 'lanczos', 'results', 'we', 'discuss', 'the', 'validity', 'of', 'the', 'spin', 'polaron', 'picture', 'in', 'the', 'disordered', 'phase']] | [-0.16574211014706045, 0.20530394890331938, -0.06670031508239095, 0.09876975644147024, -0.011164127200198196, -0.07570409469018854, 0.09258801618638887, 0.3545490376486936, -0.2174892516940257, -0.2234886911841493, 0.02462030553022701, -0.2931028459947008, -0.10459118813057156, 0.12507764999549287, 0.11064380910658442, 0.03887204034253955, -0.03193391537677277, 0.018732432282858473, -0.14769747186801396, -0.22208949972820632, 0.31820053333307013, 0.0069884283918380625, 0.2833096685490626, 0.09563931476098814, 0.04690233437234864, 0.07025270377669264, 0.12440666165682213, 0.0035665059044464108, -0.1698638732680539, 0.03706993195502197, 0.2542098013732089, -0.05762247755603098, 0.17779764872701728, -0.42615303983364033, -0.1791279869606061, 0.015614098746000844, 0.18067070534315838, 0.19509243959670558, -0.02239413928370649, -0.3030178352012573, 0.03667245011584943, -0.21208742985104703, -0.16728603763519512, -0.15166035231531544, -0.020890599732999417, -0.0014775818563066423, -0.22435574132182143, 0.15774362512028722, 0.09881624701408916, 0.04767216487637009, -0.10775706843774327, -0.10076237347932286, -0.04224040626157897, 0.07337848079281256, 0.04214834816486794, 0.06701104023822528, 0.11931656454415883, -0.11889610768925837, -0.14562293156118625, 0.3550941239878097, -0.03508563907406129, -0.13381020754390835, 0.1342001640912392, -0.18811534206157804, -0.10189370647404918, 0.1469614223768825, 0.07560338379527606, 0.11077211993046256, -0.11986212978851707, 0.11720605997021159, -0.014300350592748146, 0.14699316882316077, 0.007420398281229769, 0.07899391281920115, 0.23190601163899854, 0.18031171198441265, 0.03698375654536957, 0.1841466553416788, -0.13624924728441434, -0.16827819271780112, -0.2276970159385682, -0.12459312848017469, -0.291138932293774, 0.04998997178111441, -0.1124016768321513, -0.2243632887428462, 0.42782192062997426, 0.17319876298835665, 0.1645621690858046, -0.003790510701946914, 0.23414027686778674, 0.16390241463993924, 0.043945425618029034, 0.0595440164239228, 0.26999532710076035, 0.18966716380707702, 0.07442381538395934, -0.34007970051949515, 0.01766331902677741, 0.10008006624411792] |
710.5721 | The radiation equation of state and loop quantum gravity corrections | The equation of state for radiation is derived in a canonical formulation of
the electromagnetic field. This allows one to include correction terms expected
from canonical quantum gravity and to infer implications to the universe
evolution in radiation dominated epochs. Corrections implied by quantum
geometry can be interpreted in physically appealing ways, relating to the
conformal invariance of the classical equations.
| gr-qc astro-ph | the equation of state for radiation is derived in a canonical formulation of the electromagnetic field this allows one to include correction terms expected from canonical quantum gravity and to infer implications to the universe evolution in radiation dominated epochs corrections implied by quantum geometry can be interpreted in physically appealing ways relating to the conformal invariance of the classical equations | [['the', 'equation', 'of', 'state', 'for', 'radiation', 'is', 'derived', 'in', 'a', 'canonical', 'formulation', 'of', 'the', 'electromagnetic', 'field', 'this', 'allows', 'one', 'to', 'include', 'correction', 'terms', 'expected', 'from', 'canonical', 'quantum', 'gravity', 'and', 'to', 'infer', 'implications', 'to', 'the', 'universe', 'evolution', 'in', 'radiation', 'dominated', 'epochs', 'corrections', 'implied', 'by', 'quantum', 'geometry', 'can', 'be', 'interpreted', 'in', 'physically', 'appealing', 'ways', 'relating', 'to', 'the', 'conformal', 'invariance', 'of', 'the', 'classical', 'equations']] | [-0.0812459142237413, 0.11484118978508183, -0.14261715172133485, 0.13319775714065696, -0.09923479568640717, -0.10128401306106663, -0.049956196286433115, 0.24859129380984385, -0.272758436221324, -0.318515560727139, 0.02336327555650448, -0.22599183444766763, -0.1098826497671057, 0.20289838723227627, -0.06324569268732286, 0.01433246598014089, -0.02830241623212446, 0.013118894871889202, -0.11028713407758318, -0.199180874370466, 0.3460015088441919, 0.09628359467691941, 0.22644653242295149, 0.010611163757619311, 0.13814049574439644, -0.028379531214624398, -0.055544636502373415, 0.054311856932815955, -0.12050851497829693, 0.07846380506077262, 0.2374299239504655, 0.10285278649802213, 0.18021090611143678, -0.45829650915426307, -0.2664139419641407, 0.08150228261413267, 0.13410925608677943, 0.17551146948435267, -0.005745627707420069, -0.2877329128382147, 0.01782092168787876, -0.1633783623835713, -0.18614824541432204, -0.050420195047484066, 0.003988190395681218, -0.08112845924820324, -0.241110991999568, 0.10094077879425566, 0.01515383408099535, -0.03154129539540068, -0.08291849045208885, -0.04130267179342079, 0.004682170395113406, 0.08890946746086244, 0.070047830552107, 0.03377093021284606, 0.14554743859611574, -0.19619003339426316, -0.12006501679415585, 0.4535622275510772, -0.11776854707019739, -0.18884499685564002, 0.13032340712952198, -0.14010214910185972, -0.1094342021760149, 0.12146868341083288, 0.08969101731161602, 0.11280056791471653, -0.1745364589189164, 0.1327067631149863, 0.05708512783691776, 0.09702833251813885, 0.06274468010505203, 0.07726932263581968, 0.2854943599735127, 0.03474554404249934, -0.01624114032773698, 0.16985390968735284, -0.004868119039007875, -0.18095239972481963, -0.3665285305898698, -0.1620927520829146, -0.14380533874157023, 0.15396922422176013, -0.1287214192194429, -0.12846041675351683, 0.3607504448899236, 0.1681464540933881, 0.13443297071412938, 0.01230799031184345, 0.26978433321489664, 0.176639606504411, 0.06748460324817017, 0.07006878782918707, 0.3050760274264412, 0.22962999254175018, 0.0819698770122114, -0.2555375437702617, 0.02883009199572147, 0.08781330578303972] |
710.5722 | Canonical Gravity with Fermions | Canonical gravity in real Ashtekar-Barbero variables is generalized to allow
for fermionic matter. The resulting torsion changes several expressions in
Holst's original vacuum analysis, which are summarized here. This in turn
requires adaptations to the known loop quantization of gravity coupled to
fermions, which is discussed on the basis of the classical analysis. As a
result, parity invariance is not manifestly realized in loop quantum gravity.
| gr-qc hep-th | canonical gravity in real ashtekarbarbero variables is generalized to allow for fermionic matter the resulting torsion changes several expressions in holsts original vacuum analysis which are summarized here this in turn requires adaptations to the known loop quantization of gravity coupled to fermions which is discussed on the basis of the classical analysis as a result parity invariance is not manifestly realized in loop quantum gravity | [['canonical', 'gravity', 'in', 'real', 'ashtekarbarbero', 'variables', 'is', 'generalized', 'to', 'allow', 'for', 'fermionic', 'matter', 'the', 'resulting', 'torsion', 'changes', 'several', 'expressions', 'in', 'holsts', 'original', 'vacuum', 'analysis', 'which', 'are', 'summarized', 'here', 'this', 'in', 'turn', 'requires', 'adaptations', 'to', 'the', 'known', 'loop', 'quantization', 'of', 'gravity', 'coupled', 'to', 'fermions', 'which', 'is', 'discussed', 'on', 'the', 'basis', 'of', 'the', 'classical', 'analysis', 'as', 'a', 'result', 'parity', 'invariance', 'is', 'not', 'manifestly', 'realized', 'in', 'loop', 'quantum', 'gravity']] | [-0.1705839782812153, 0.18761391617414175, -0.11082006411302384, 0.10592562120026824, -0.10711239202117379, -0.1740228767633777, -0.029662725752022005, 0.2736636775150669, -0.2070966467091983, -0.28206886559950584, 0.0651867012228732, -0.19070000248382601, -0.18563219861861205, 0.15727943481143677, -0.0999048158145425, 0.04473847362466834, -0.011699939019639383, 0.09112491908440874, -0.10726035998739077, -0.2604617939584635, 0.30250903326227807, 0.07046545430608658, 0.25438973256104597, 0.009464496718437382, 0.09311910714446144, -0.015766250830369467, -0.03260590226361246, 0.021354044180814966, -0.06378934883766553, 0.06073494666446949, 0.2402338444918507, 0.07463866578076374, 0.1551461975569978, -0.4401146190128092, -0.22712986382909797, 0.07226844201972143, 0.133095131474406, 0.13914819384544072, -0.016940050683043602, -0.2901705207909937, 0.013285659369792098, -0.1475122115560666, -0.1420020493819858, -0.14348822780569512, -0.0315303060607138, -0.09940031579709753, -0.2201146788923352, 0.07015838324811986, 0.03887176636437124, 0.007283430581799511, -0.021504305933679763, -0.09486098188878686, -0.007902065969326279, 0.0638301995402964, 0.0836830106175815, 0.038407798390835524, 0.13408196179873563, -0.11665604135487229, -0.13236282165797258, 0.4234539723080216, -0.08992609089931869, -0.28373712412025215, 0.14696718804594694, -0.13403445293167324, -0.19737550018665692, 0.057280278955162925, 0.08855906047039863, 0.10809265721984433, -0.1648951256647706, 0.1534843330807758, -0.033352181908081875, 0.12570132006481854, 0.07657147433862767, 0.06696903338712273, 0.2529172115874561, 0.05633665367195411, 0.02158718808751666, 0.13268788485914806, -0.0011218498058786447, -0.21786790521053429, -0.4056142704053359, -0.18206002190709114, -0.15204599468658367, 0.07253082067671296, -0.07280585088654223, -0.19815984062822253, 0.369862780087825, 0.11577007434045133, 0.11018945918785351, 0.030994930138783246, 0.27516361907350295, 0.13457078672769113, 0.1006106912100222, 0.012473861103265363, 0.2682377158904053, 0.19869479127792697, 0.07121196912802671, -0.2546205069502872, -0.05086786933481397, 0.11818760762936577] |
710.5723 | A global conformal extension theorem for perfect fluid Bianchi
space-times | A global extension theorem is established for isotropic singularities in
polytropic perfect fluid Bianchi space-times. When an extension is possible,
the limiting behaviour of the physical space-time near the singularity is
analysed.
| gr-qc | a global extension theorem is established for isotropic singularities in polytropic perfect fluid bianchi spacetimes when an extension is possible the limiting behaviour of the physical spacetime near the singularity is analysed | [['a', 'global', 'extension', 'theorem', 'is', 'established', 'for', 'isotropic', 'singularities', 'in', 'polytropic', 'perfect', 'fluid', 'bianchi', 'spacetimes', 'when', 'an', 'extension', 'is', 'possible', 'the', 'limiting', 'behaviour', 'of', 'the', 'physical', 'spacetime', 'near', 'the', 'singularity', 'is', 'analysed']] | [-0.1851879472960718, 0.04639130899568045, -0.15123955364106223, 0.14829593855756684, -0.1237193844281137, -0.18057850246259477, -0.10854582110187039, 0.2760140917962417, -0.20898969779955223, -0.1567959543899633, 0.1131627676768403, -0.267997597635258, -0.0876172296484583, 0.11747122264932841, -0.07488668166479329, 0.022633412445429713, -0.0557394158677198, 0.049965168902417645, -0.08865043410150975, -0.2051117916998919, 0.4040614476034534, 0.08559297476313077, 0.3055049766553566, -0.0030626959051005542, 0.09180648135952652, -0.012043590904795565, -0.015976760478224605, 0.059291162266163155, -0.21558183041634038, -0.0657188584737014, 0.24440952017903328, 0.035825687562464736, 0.1603546072728932, -0.3492136577842757, -0.27106102684047073, 0.13350694833206944, 0.16226378129795194, 0.12133794801775366, 0.00377139616466593, -0.2651809526141733, 0.106253304562415, -0.1559792492480483, -0.3588513932772912, -0.006025041686370969, 0.07400447939289734, -0.0662725922302343, -0.2236159050371498, 0.12823518720688298, 0.15090001822682098, 0.09686399617930874, -0.1415090213122312, 0.032310358772519976, -0.022694180930557195, 0.013248156375084363, 0.06648167916137027, -0.034795141662470996, 0.0966246590251103, -0.16338493529474363, -0.07782395643880591, 0.40372426316025667, -0.07463332971383352, -0.26115891122753965, 0.09686476569549995, -0.10901672454201616, -0.07770283307036152, 0.12041439178574365, 0.008537034329492599, 0.1263174310879549, -0.143277566962297, 0.240740762281348, -0.07208919711410999, 0.07635180783108808, 0.15661801336682402, -0.021821206784807146, 0.23667081468738616, 0.12819810196378967, 0.05321834157803096, 0.14382504136301577, -0.003485788593025063, -0.16895251612731954, -0.42549960128962994, -0.19755942840129137, -0.1833297397242859, 0.1412451090873219, -0.24397427060466725, -0.22048158250981942, 0.3241005673771724, 0.03170740410860162, 0.06135832366999239, -0.01456138507637661, 0.24265598959755152, 0.0665894188277889, -0.07140157121466473, 0.16101469764544163, 0.31402682967018336, 0.1772270172368735, 0.1264322774950415, -0.16602905989566352, -0.018025274694082327, 0.10243947661365382] |
710.5724 | Existence of K\"ahler-Einstein metrics and multiplier ideal sheaves on
del Pezzo surfaces | We apply Nadel's method of multiplier ideal sheaves to show that every
complex del Pezzo surface of degree at most six whose automorphism group acts
without fixed points has a K\"ahler-Einstein metric. In particular, all del
Pezzo surfaces of degree $4,5$, or $6$ and certain special del Pezzo surfaces
of lower degree are shown to have a K\"ahler-Einstein metric. This result is
not new, but the proofs given in the present paper are less involved than
earlier ones by Siu, Tian and Tian-Yau.
| math.AG math.CV math.DG | we apply nadels method of multiplier ideal sheaves to show that every complex del pezzo surface of degree at most six whose automorphism group acts without fixed points has a kahlereinstein metric in particular all del pezzo surfaces of degree 45 or 6 and certain special del pezzo surfaces of lower degree are shown to have a kahlereinstein metric this result is not new but the proofs given in the present paper are less involved than earlier ones by siu tian and tianyau | [['we', 'apply', 'nadels', 'method', 'of', 'multiplier', 'ideal', 'sheaves', 'to', 'show', 'that', 'every', 'complex', 'del', 'pezzo', 'surface', 'of', 'degree', 'at', 'most', 'six', 'whose', 'automorphism', 'group', 'acts', 'without', 'fixed', 'points', 'has', 'a', 'kahlereinstein', 'metric', 'in', 'particular', 'all', 'del', 'pezzo', 'surfaces', 'of', 'degree', '45', 'or', '6', 'and', 'certain', 'special', 'del', 'pezzo', 'surfaces', 'of', 'lower', 'degree', 'are', 'shown', 'to', 'have', 'a', 'kahlereinstein', 'metric', 'this', 'result', 'is', 'not', 'new', 'but', 'the', 'proofs', 'given', 'in', 'the', 'present', 'paper', 'are', 'less', 'involved', 'than', 'earlier', 'ones', 'by', 'siu', 'tian', 'and', 'tianyau']] | [-0.20855237105202087, 0.013956590785633728, -0.09890289635520923, 0.06883688643574715, -0.09381297535644507, -0.24969919837158489, -0.017505915190306413, 0.3236979024641844, -0.2012225140337776, -0.309069241593446, 0.09035919840357838, -0.301872312464381, -0.18581665737318795, 0.20739977078439376, -0.20167508590068803, -0.02147881960894643, 0.01856469165488898, 0.040608164955334494, -0.10332171745452447, -0.4166097763774311, 0.47034874518054076, 0.016512229982539112, 0.2039239738215075, 0.11026988832100508, 0.11382177281361747, 0.006465161309005266, 0.024606869006192827, -0.030390442382678927, -0.12459067768371364, 0.08389643874827278, 0.3131503892209695, 0.05035136848216854, 0.16713636047599545, -0.3847357054694741, -0.21007421680064087, 0.2178839863536049, 0.06740104482251119, 0.044388627083635473, -0.016943619889487702, -0.20876685519848603, 0.11289156843201224, -0.11876076216026103, -0.2260487306111279, -0.05707937203549657, 0.0003790428941923541, 0.015955004235168536, -0.14793596049232116, -0.049825213720505857, 0.09676949459924755, 0.18170249068279223, 0.01879548858738987, -0.16079972082950983, -0.14217072130035024, 0.022433398647727556, -0.020439337212480157, 0.114250683012497, 0.06348428463336103, -0.06938599251177027, -0.09546397120063474, 0.32392873592584964, -0.08957089665321302, -0.22482489543147835, 0.16510662145867763, -0.18754468449245554, -0.15606727984071855, 0.17078016084164427, 0.0970724937397319, 0.2840280577607722, -0.040256549534107365, 0.15063530129116837, -0.07298076325601124, 0.08246623299712966, 0.1835231196516788, -0.053224192174847224, 0.0949331533208669, 0.10425461853674826, 0.1389880053929042, 0.03850025905812361, -0.044636561165013945, -0.0017477097662996098, -0.3455208073628236, -0.19847612790987793, -0.08751098857771784, 0.14704118711969966, -0.11936338142322163, -0.12722137152373017, 0.41802058331892794, 0.014432604817381824, 0.1706986846795014, 0.11000393886478191, 0.17034024240853018, -0.041095562481197966, 0.03438375614224428, 0.11301309752827847, 0.2134657049192542, 0.1534804490209748, -0.04218762183943427, -0.05724757801354246, 0.04575525155762233, 0.1872853142299117] |
710.5725 | Convergence of the K\"ahler-Ricci flow and multiplier ideal sheaves on
del Pezzo surfaces | On certain del Pezzo surfaces with large automorphism groups, it is shown
that the solution to the K\"ahler-Ricci flow with a certain initial value
converges in $C^\infty$-norm exponentially fast to a K\"ahler-Einstein metric.
The proof is based on the method of multiplier ideal sheaves.
| math.AG math.CV math.DG | on certain del pezzo surfaces with large automorphism groups it is shown that the solution to the kahlerricci flow with a certain initial value converges in cinftynorm exponentially fast to a kahlereinstein metric the proof is based on the method of multiplier ideal sheaves | [['on', 'certain', 'del', 'pezzo', 'surfaces', 'with', 'large', 'automorphism', 'groups', 'it', 'is', 'shown', 'that', 'the', 'solution', 'to', 'the', 'kahlerricci', 'flow', 'with', 'a', 'certain', 'initial', 'value', 'converges', 'in', 'cinftynorm', 'exponentially', 'fast', 'to', 'a', 'kahlereinstein', 'metric', 'the', 'proof', 'is', 'based', 'on', 'the', 'method', 'of', 'multiplier', 'ideal', 'sheaves']] | [-0.21090536131144522, 0.008229175078964163, -0.18609647877341093, 0.06198974809782623, -0.08309088097235491, -0.2122957254001914, -0.04817833578170732, 0.3266136630676513, -0.29862392996979314, -0.2022638727239398, 0.16318120039338896, -0.2880681691647962, -0.1371933879157485, 0.2156983305981686, -0.19151621494918716, 0.06860925374162752, 0.11201891770889592, 0.09090213910784832, -0.09438824542624832, -0.34832664359317617, 0.47072682934704907, 0.031216802032187928, 0.3331462421216244, 0.11122020971853026, 0.16159053036379953, -0.06580926595948809, 0.07752134098649718, -0.016660060776874076, -0.13655808702910585, 0.07989460840647997, 0.26782591616041784, 0.04378180970372849, 0.23137575361964313, -0.35548909528310907, -0.1406573810896208, 0.1854498816090961, 0.08303368388306956, 0.04600904067588407, -0.06324261273690608, -0.2686702058065769, 0.11741553200408816, -0.12595248749198087, -0.21054708858042262, -0.07431648390064406, 0.006151659370854844, 0.08721406757831573, -0.23663542454325875, -0.03995294700008492, 0.05445667954031811, 0.04855088274492774, -0.058592106215655804, -0.05604449057475079, -0.0917683586824772, -0.011375757551557102, 0.06620271827722359, 0.10627516806342227, 0.12821997212635916, -0.09420929528599561, -0.017877022232210566, 0.3260763559577077, -0.15882489587678467, -0.28434146074361577, 0.13161070861983612, -0.14749694884169934, -0.0769091582488875, 0.18408786275878894, 0.09423934061859929, 0.28317334433627683, 0.016320653021508872, 0.13062165238959497, -0.1134084597403227, 0.11594012591901214, 0.08096257571217626, -0.0831289533417412, 0.10975005001176236, 0.18259252841735996, 0.22951219100938286, 0.0661501421831375, -0.025765070854144735, -0.07733646771588991, -0.35193735062209675, -0.20326184376337847, -0.1412836392951566, 0.208047496696371, -0.1393794122552716, -0.22823138345171004, 0.4115175934031952, 0.039721563209368045, 0.19237864608768113, 0.14157784043616334, 0.22323388926858126, 0.009694426818642505, 0.05500469635089123, 0.12410898257566746, 0.1854826373936132, 0.20111713557893973, 0.018174262739024883, -0.14505934856052316, 0.02641593276111539, 0.2692562822295829] |
710.5726 | Hard thermal loops in the real-time formalism | We present a systematic discussion of Braaten and Pisarski's hard thermal
loop (HTL) effective theory within the framework of the real-time
(Schwinger-Keldysh) formalism. As is well known, the standard imaginary-time
HTL amplitudes for hot gauge theory express the polarization of a medium made
out of nonabelian charged point-particles; we show that the complete real-time
HTL theory includes, in addition, a second set of amplitudes which account for
Gaussian fluctuations in the charge distributions, but nothing else. We give a
concise set of graphical rules which generate both set of functions, and
discuss its relation to classical plasma physics.
| hep-ph | we present a systematic discussion of braaten and pisarskis hard thermal loop htl effective theory within the framework of the realtime schwingerkeldysh formalism as is well known the standard imaginarytime htl amplitudes for hot gauge theory express the polarization of a medium made out of nonabelian charged pointparticles we show that the complete realtime htl theory includes in addition a second set of amplitudes which account for gaussian fluctuations in the charge distributions but nothing else we give a concise set of graphical rules which generate both set of functions and discuss its relation to classical plasma physics | [['we', 'present', 'a', 'systematic', 'discussion', 'of', 'braaten', 'and', 'pisarskis', 'hard', 'thermal', 'loop', 'htl', 'effective', 'theory', 'within', 'the', 'framework', 'of', 'the', 'realtime', 'schwingerkeldysh', 'formalism', 'as', 'is', 'well', 'known', 'the', 'standard', 'imaginarytime', 'htl', 'amplitudes', 'for', 'hot', 'gauge', 'theory', 'express', 'the', 'polarization', 'of', 'a', 'medium', 'made', 'out', 'of', 'nonabelian', 'charged', 'pointparticles', 'we', 'show', 'that', 'the', 'complete', 'realtime', 'htl', 'theory', 'includes', 'in', 'addition', 'a', 'second', 'set', 'of', 'amplitudes', 'which', 'account', 'for', 'gaussian', 'fluctuations', 'in', 'the', 'charge', 'distributions', 'but', 'nothing', 'else', 'we', 'give', 'a', 'concise', 'set', 'of', 'graphical', 'rules', 'which', 'generate', 'both', 'set', 'of', 'functions', 'and', 'discuss', 'its', 'relation', 'to', 'classical', 'plasma', 'physics']] | [-0.0911627433997262, 0.160359602488731, -0.14295449213499262, 0.1437821479564648, -0.066321516915983, -0.09391434019738712, 0.0712657204058655, 0.350853817758256, -0.21220360632947424, -0.27011327280365316, 0.019486059486318725, -0.2485624411306584, -0.12882892905552054, 0.1420478849556566, -0.016143365452286892, 0.04364821003190693, 0.004806046743790821, 0.043380136323190224, -0.07554311281641389, -0.17298156946667076, 0.25751421390792606, 0.014707893687336389, 0.2435139714255353, 0.10735616258816007, 0.10563072403316799, 0.09208588242727649, -0.08768536914716062, 0.04545214745340888, -0.09029545146843224, 0.0823562989460266, 0.2052228445734483, 0.08607243584497765, 0.19020624886046059, -0.4583137822097417, -0.23372835113388515, 0.0280136498202541, 0.1039436503923162, 0.14221918459239982, -0.01483459923339566, -0.23147006659317262, 0.03608979035160485, -0.21714167345372826, -0.1721527089002379, -0.1362209572197543, -0.00016274027161530612, -0.06667607466356598, -0.2679858619020772, 0.08441184530095869, 0.020111991842661398, 0.004904185469771169, -0.01108236237760326, -0.11067631269430685, 0.0026041796219717596, 0.09738362524370403, 0.011349440069830756, 0.05812555258210326, 0.16900074041026078, -0.16208997700476213, -0.11843439724930015, 0.41190819187358635, -0.06378751842439481, -0.17173656828931927, 0.12934502177948573, -0.15921463294089147, -0.1379975811530327, 0.12052335436503912, 0.14461231181762882, 0.14378689433035163, -0.22696861689526243, 0.13146812330869018, -0.033773740599911235, 0.13367406245004193, 0.056702630231925046, 0.06903132361830357, 0.24556759305144707, 0.10659199223383185, -0.020873928341784122, 0.15881821276504815, -0.00048376443872669926, -0.15431247603570677, -0.39716234127270805, -0.12316134656974044, -0.09753155125276253, 0.051722532560684015, -0.08824448385629947, -0.264144769970558, 0.3806764258686261, 0.1601851395848591, 0.14161529780885196, 0.08286190655840964, 0.3094737637192779, 0.12089222830467612, 0.03417555174127836, 0.06805124021490518, 0.22881379494318718, 0.18386864301162897, 0.10587905596980114, -0.20962475961195448, -0.045584150672813434, 0.10821170334886644] |
710.5727 | INTEGRAL detection of the pulsar wind nebula in PSR J1846-0258 | We communicate the detection of soft (20--200 keV) gamma-rays from the pulsar
and pulsar wind nebula of PSR J1846-0258 and aim to identify the component of
the system which is responsible for the gamma-ray emission. To pinpoint the
source of gamma-ray emission we combine spectral information from the INTEGRAL
gamma-ray mission with archival data from the Chandra X-ray Observatory. Our
analysis shows that the soft gamma-rays detected from PSR J1846-0258 include
emission from both the pulsar and the pulsar wind nebula, but the measured
spectral shape is dominated by the pulsar wind nebula. We further discuss PSR
J1846-0258 in the context of rotation-powered pulsars with high magnetic field
strengths and review the anomalously high fraction of spin-down luminosity
converted into X- and gamma-ray emission in light of a possible overestimate of
the distance to this pulsar.
| astro-ph | we communicate the detection of soft 20200 kev gammarays from the pulsar and pulsar wind nebula of psr j18460258 and aim to identify the component of the system which is responsible for the gammaray emission to pinpoint the source of gammaray emission we combine spectral information from the integral gammaray mission with archival data from the chandra xray observatory our analysis shows that the soft gammarays detected from psr j18460258 include emission from both the pulsar and the pulsar wind nebula but the measured spectral shape is dominated by the pulsar wind nebula we further discuss psr j18460258 in the context of rotationpowered pulsars with high magnetic field strengths and review the anomalously high fraction of spindown luminosity converted into x and gammaray emission in light of a possible overestimate of the distance to this pulsar | [['we', 'communicate', 'the', 'detection', 'of', 'soft', '20200', 'kev', 'gammarays', 'from', 'the', 'pulsar', 'and', 'pulsar', 'wind', 'nebula', 'of', 'psr', 'j18460258', 'and', 'aim', 'to', 'identify', 'the', 'component', 'of', 'the', 'system', 'which', 'is', 'responsible', 'for', 'the', 'gammaray', 'emission', 'to', 'pinpoint', 'the', 'source', 'of', 'gammaray', 'emission', 'we', 'combine', 'spectral', 'information', 'from', 'the', 'integral', 'gammaray', 'mission', 'with', 'archival', 'data', 'from', 'the', 'chandra', 'xray', 'observatory', 'our', 'analysis', 'shows', 'that', 'the', 'soft', 'gammarays', 'detected', 'from', 'psr', 'j18460258', 'include', 'emission', 'from', 'both', 'the', 'pulsar', 'and', 'the', 'pulsar', 'wind', 'nebula', 'but', 'the', 'measured', 'spectral', 'shape', 'is', 'dominated', 'by', 'the', 'pulsar', 'wind', 'nebula', 'we', 'further', 'discuss', 'psr', 'j18460258', 'in', 'the', 'context', 'of', 'rotationpowered', 'pulsars', 'with', 'high', 'magnetic', 'field', 'strengths', 'and', 'review', 'the', 'anomalously', 'high', 'fraction', 'of', 'spindown', 'luminosity', 'converted', 'into', 'x', 'and', 'gammaray', 'emission', 'in', 'light', 'of', 'a', 'possible', 'overestimate', 'of', 'the', 'distance', 'to', 'this', 'pulsar']] | [-0.061761331177823356, 0.11916762555997326, -0.05418092369355316, 0.1476375863464508, -0.19327716667698147, -0.0751369016155984, 0.04851497923321885, 0.44777549952542517, -0.22496847193071837, -0.36613430218387616, 0.02822747060118298, -0.34003359881941886, 0.029924182787962147, 0.2936209837139091, 0.0008602507296018302, -0.05567502453649307, 0.1356427201809471, -0.0815402169331826, 0.0029255194013411015, -0.12421451700848753, 0.2522590618087527, 0.12275118006800767, 0.12802350378992475, 0.030335541609126854, 0.151109569316545, -0.0835054848832763, -0.019147397368215024, -0.10820411515476949, -0.03797186179941919, 0.10547692175297176, 0.21674819898736827, 0.1802574049331323, 0.08332075378583635, -0.36792882579817054, -0.24495074630249292, 0.054916659527567815, 0.16655025900998974, -0.11407866309866008, 0.001313889621729579, -0.3549171709044672, 0.028177114319987595, -0.3130389780819635, -0.19422131774412907, 0.11568204013575964, 0.022973020887173547, 0.09581514481140081, -0.13018909282297553, 0.07214919349986731, 0.004268135303658817, 0.04068040328702944, -0.21799114626072183, -0.054138517954818194, 0.03163529198911205, 0.02345197309863151, 0.13089251761694493, 0.09201549620432642, 0.12547744254184448, -0.15990668661748608, -0.08257960116572897, 0.3961573761531754, -0.03913254989995895, 0.09236638117855524, 0.17131694546654164, -0.28060333254432085, -0.23779260751197237, 0.2442107235958033, 0.14465012646499364, 0.05748327992692152, -0.17169606111094574, 0.007551205414261751, 0.01303477692657479, 0.258683570277165, 0.015342980955371304, 0.07123441414167996, 0.3503246523768586, 0.12149898988547433, -0.004579147217822645, 0.21108758636418154, -0.3765805910533184, 0.04384517206712831, -0.23317585114444442, -0.03787131091881105, -0.16993471095509663, 0.15242543445835027, -0.10805325255237488, -0.09701330462292604, 0.4067897121045355, 0.14666961352614796, 0.12939913492642946, 0.00231141626564375, 0.33333522571689067, 0.14483928745475544, 0.011904212687274112, 0.1758414773571798, 0.38220051442861885, 0.18172428047846018, 0.15444847981715987, -0.26787617471242864, 0.10949185334132328, -0.05250326763694722] |
710.5728 | The H-principle and Pseudoconcave CR Manifolds | The H-principle, which is the analogue, for CR manifolds, of the classical
Hartogs principle in several complex variables, is known to be valid in the
small on a pseudoconcave CR manifold of any codimension. However it fails in
the large, as has been shown by the counterexample found in [HN1]. Hence there
is an underlying obstruction to the global H-principle on a pseudoconcave CR
manifold. The purpose of this note is to take the first steps toward a deeper
understanding of this obstruction.
| math.CV math.AP math.AT | the hprinciple which is the analogue for cr manifolds of the classical hartogs principle in several complex variables is known to be valid in the small on a pseudoconcave cr manifold of any codimension however it fails in the large as has been shown by the counterexample found in hn1 hence there is an underlying obstruction to the global hprinciple on a pseudoconcave cr manifold the purpose of this note is to take the first steps toward a deeper understanding of this obstruction | [['the', 'hprinciple', 'which', 'is', 'the', 'analogue', 'for', 'cr', 'manifolds', 'of', 'the', 'classical', 'hartogs', 'principle', 'in', 'several', 'complex', 'variables', 'is', 'known', 'to', 'be', 'valid', 'in', 'the', 'small', 'on', 'a', 'pseudoconcave', 'cr', 'manifold', 'of', 'any', 'codimension', 'however', 'it', 'fails', 'in', 'the', 'large', 'as', 'has', 'been', 'shown', 'by', 'the', 'counterexample', 'found', 'in', 'hn1', 'hence', 'there', 'is', 'an', 'underlying', 'obstruction', 'to', 'the', 'global', 'hprinciple', 'on', 'a', 'pseudoconcave', 'cr', 'manifold', 'the', 'purpose', 'of', 'this', 'note', 'is', 'to', 'take', 'the', 'first', 'steps', 'toward', 'a', 'deeper', 'understanding', 'of', 'this', 'obstruction']] | [-0.15467289449641458, 0.02178549140299732, -0.08882238452199352, 0.14465774574698545, -0.07703950801437878, -0.11362736315904073, -0.03280480004600193, 0.3246344176222043, -0.26910827607365256, -0.23864331069480943, 0.10520767003819571, -0.21544193597903183, -0.17401096200519972, 0.18794236157134356, -0.13642802495082998, -0.002963158279567598, 0.03517691938049463, 0.09593454115261066, -0.047584595231631076, -0.23846614028675012, 0.4177411314021482, 0.032933775156018245, 0.2381768647121288, 0.12435563930299089, 0.1110266971637506, -0.034076621419334985, 0.03965008717748415, 0.03534878224852574, -0.12190312251493514, 0.11270925931138806, 0.283788074436317, 0.10166718241062958, 0.2712602415178196, -0.4019053960331233, -0.24377535988228866, 0.17298255862067846, 0.14237434960374362, 0.09140747367174376, -0.008449935054137226, -0.26437015414058446, 0.13108001317245416, -0.057564671011080586, -0.1938793369546443, -0.06238836994821049, 0.050417438401919173, -0.030468589588382607, -0.21232497757188526, -0.011247689151261226, 0.20555521268958607, 0.0647839945460479, -0.07127219230407872, -0.06181400713611798, -0.028986448994332767, 0.10454915693388825, 0.05066296266369432, 0.11153452514659569, 0.043486163070627366, -0.04406428890841373, -0.08931673676089709, 0.40030514345650214, -0.035813169385564614, -0.251471114019493, 0.17616350881486054, -0.14884715887762787, -0.19429233593933554, 0.16309972279087967, 0.10665997357320893, 0.15448251914047828, -0.12249034975027015, 0.1732668151899454, -0.07632731746164072, 0.12342041301125863, 0.046959653600534224, -0.04357205555740609, 0.14028147970472116, 0.17433407380952534, 0.18668135848311507, 0.09145703730986914, -0.04118331147607483, -0.058769359848046876, -0.3101657931300172, -0.25318311997521, -0.1993584493623979, 0.17289573928139296, -0.08698569505800863, -0.157581542148353, 0.3491549956533744, 0.06913615254536608, 0.2078315372612462, 0.041331351135790076, 0.28278166758098516, 0.0712604784920071, 0.0656857795070812, 0.07547433954854328, 0.2536583901298827, 0.17142466931738498, 0.08667646098253598, -0.10555498494979847, 0.046910287419625794, 0.11457729378872249] |
710.5729 | On the geometry of V-systems | We consider a complex version of the $\vee$-systems, which appeared in the
theory of the WDVV equation. We show that the class of these systems is closed
under the natural operations of restriction and taking the subsystems and study
a special class of the $\vee$-systems related to generalized root systems and
basic classical Lie superalgebras.
| math-ph math.MP | we consider a complex version of the veesystems which appeared in the theory of the wdvv equation we show that the class of these systems is closed under the natural operations of restriction and taking the subsystems and study a special class of the veesystems related to generalized root systems and basic classical lie superalgebras | [['we', 'consider', 'a', 'complex', 'version', 'of', 'the', 'veesystems', 'which', 'appeared', 'in', 'the', 'theory', 'of', 'the', 'wdvv', 'equation', 'we', 'show', 'that', 'the', 'class', 'of', 'these', 'systems', 'is', 'closed', 'under', 'the', 'natural', 'operations', 'of', 'restriction', 'and', 'taking', 'the', 'subsystems', 'and', 'study', 'a', 'special', 'class', 'of', 'the', 'veesystems', 'related', 'to', 'generalized', 'root', 'systems', 'and', 'basic', 'classical', 'lie', 'superalgebras']] | [-0.17511772732673722, 0.049330760064450176, -0.04607368829575452, 0.08005662654653531, -0.0808545244011012, -0.12415590293028138, -0.01511223406996578, 0.2571455797857859, -0.3285879796794192, -0.21612727012146604, 0.13268901247700507, -0.22134384709749033, -0.22173059741035103, 0.209931640970436, -0.11463769856332377, 0.02530952797017314, 0.047556492618539115, 0.1126325497911735, -0.11809974426657639, -0.2574727352073585, 0.4176375177858228, -0.0332885474241762, 0.22648640661077066, -0.007720626083160327, 0.14940025460990994, 0.03597975613718683, 0.02757728902453726, 0.030736655843528835, -0.1401460291020075, 0.14949238071726126, 0.211852947791869, 0.08886375548318029, 0.22608656285499984, -0.3947036365555091, -0.1795164963399822, 0.15212113489820198, 0.08453476440838792, 0.08340292402162132, 0.015400380641222, -0.27815524681725284, 0.07143151749518108, -0.1728111438876526, -0.15746557260440155, -0.03399777601219036, 0.018137238648804753, 0.051597925508394836, -0.22226926931603389, 0.040730193138799886, 0.13821881628510627, 0.07254192825745452, -0.09999676113101569, -0.10479656402021646, 0.013647779513319785, 0.0749485817822543, -0.020335867270742627, -0.03717629245313054, 0.08095545697618614, -0.10681997625665231, -0.12244565905156461, 0.4347215476361188, -0.003779721852730621, -0.21675503548573363, 0.18504749951376157, -0.14870153861120344, -0.22559807583351027, 0.04612126473379745, 0.14700392491438172, 0.14078054715963928, -0.12829962585661137, 0.15841248710745606, -0.10509647346017036, 0.05779241646894, 0.04701216972687028, 0.036947831096635624, 0.13315394468266856, 0.10658945454792543, 0.0427243699234995, 0.1837773968550292, 0.01296895103190433, -0.14557196660475297, -0.3472124775702303, -0.22004222559996628, -0.08435105519284579, 0.10568308750252155, -0.05183983705011831, -0.17780941944908013, 0.42597907019609754, 0.10160258810607378, 0.14288577236743136, 0.08520174425476315, 0.1856937025758353, 0.17288707146759738, 0.10478896993127736, 0.04836295083673163, 0.1500028966164047, 0.22434827820821243, 0.03933623836121776, -0.18036893085491928, -0.05773547314615412, 0.1409009025008841] |
710.573 | Supersymmetric Models for Neutrino Mass | We review models for neutrino mass, with special emphasis in supersymmetric
models where R-parity is broken either explicitly or spontaneously. The
simplest unified extension of the MSSM with explicit bilinear R-parity
violation provides a predictive scheme for neutrino masses and mixings which
can account for the observed atmospheric and solar neutrino anomalies. Despite
the smallness of neutrino masses R-parity violation is observable at present
and future high-energy colliders, providing an unambiguous cross-check of the
model. This model can be shown to be an effective model for the, more
theoretically satisfying, spontaneous broken theory. The main difference in
this last case is the appearance of a massless particle, the majoron, that can
modify the decay modes of the Higgs boson, making it decay invisibly most of
the time.
| hep-ph | we review models for neutrino mass with special emphasis in supersymmetric models where rparity is broken either explicitly or spontaneously the simplest unified extension of the mssm with explicit bilinear rparity violation provides a predictive scheme for neutrino masses and mixings which can account for the observed atmospheric and solar neutrino anomalies despite the smallness of neutrino masses rparity violation is observable at present and future highenergy colliders providing an unambiguous crosscheck of the model this model can be shown to be an effective model for the more theoretically satisfying spontaneous broken theory the main difference in this last case is the appearance of a massless particle the majoron that can modify the decay modes of the higgs boson making it decay invisibly most of the time | [['we', 'review', 'models', 'for', 'neutrino', 'mass', 'with', 'special', 'emphasis', 'in', 'supersymmetric', 'models', 'where', 'rparity', 'is', 'broken', 'either', 'explicitly', 'or', 'spontaneously', 'the', 'simplest', 'unified', 'extension', 'of', 'the', 'mssm', 'with', 'explicit', 'bilinear', 'rparity', 'violation', 'provides', 'a', 'predictive', 'scheme', 'for', 'neutrino', 'masses', 'and', 'mixings', 'which', 'can', 'account', 'for', 'the', 'observed', 'atmospheric', 'and', 'solar', 'neutrino', 'anomalies', 'despite', 'the', 'smallness', 'of', 'neutrino', 'masses', 'rparity', 'violation', 'is', 'observable', 'at', 'present', 'and', 'future', 'highenergy', 'colliders', 'providing', 'an', 'unambiguous', 'crosscheck', 'of', 'the', 'model', 'this', 'model', 'can', 'be', 'shown', 'to', 'be', 'an', 'effective', 'model', 'for', 'the', 'more', 'theoretically', 'satisfying', 'spontaneous', 'broken', 'theory', 'the', 'main', 'difference', 'in', 'this', 'last', 'case', 'is', 'the', 'appearance', 'of', 'a', 'massless', 'particle', 'the', 'majoron', 'that', 'can', 'modify', 'the', 'decay', 'modes', 'of', 'the', 'higgs', 'boson', 'making', 'it', 'decay', 'invisibly', 'most', 'of', 'the', 'time']] | [-0.08826947073437508, 0.25644051613800384, -0.02329567315194891, 0.21802975894886942, -0.12018452667242546, -0.18947357074980894, 0.009587728292999816, 0.30245934743580855, -0.1979619502649078, -0.2989388587004615, 0.05536509249929988, -0.24982401117220462, -0.053910199621981965, 0.14692096520438938, 0.03050990355949057, 0.054722510495472436, 0.02684014253171645, 0.003167972987972376, -0.06073393556472706, -0.22559483905916844, 0.26508633173107515, 0.07458072176980456, 0.20824463799683832, 0.08680504176208353, 0.06926021780488704, -0.045710363431731016, -0.018021153601429123, -0.10817347026584069, -0.06996326363196562, 0.06367820266113565, 0.18337248297900696, 0.11095198103069515, 0.09740743848062523, -0.4012196369425166, -0.20193249765255555, 0.23257958351113783, 0.18225108357293046, 0.1161119507279203, -0.09869658878665714, -0.32155323025447824, 0.05219965894554383, -0.23410746712589592, -0.1434437088800345, -0.0739547661890635, -0.03851024770933226, -0.1263040138892536, -0.36454631695817186, 0.11210149027820582, -0.01630530361174129, 0.009812565799069218, -0.023551600899063344, -0.11596119806251129, -0.054369830713409374, 0.030811928463806437, 0.2142114588600312, -0.03763096114642566, 0.10440846522866683, -0.17051810549396113, -0.1370362779496817, 0.4563326771686396, -0.08339409265799198, -0.1847709547563302, 0.13282606409363976, -0.14084317888441225, -0.17245424447185176, 0.11323225811054181, 0.16113815822191244, 0.08108875061949994, -0.19570547212501915, 0.18298446422481293, -0.09001810683714827, 0.15812268298060642, 0.021666109059592636, 0.06885409465528966, 0.3181659732221105, 0.25089575450750085, 0.0692024490664031, 0.021455250678613313, -0.05045154267614047, -0.07150243463244026, -0.4449978027507428, -0.1360393269569613, -0.07920409498120269, 0.047925294617990284, -0.06096571786056445, -0.08688111506163246, 0.4379396314438426, 0.14372499120847035, 0.1933507641711397, 0.04884573554997809, 0.30043648910804055, 0.1248231316278652, 0.08333390243131462, 0.00434574280410829, 0.3259829307180338, 0.11184199643687998, 0.0904448627655607, -0.2623312750823913, 0.01888513232867314, 0.09148754370142156] |
710.5731 | GLISSANDO: GLauber Initial-State Simulation AND mOre | GLISSANDO is a Glauber Monte-Carlo generator for early-stages of relativistic
heavy-ion collisions, written in c++ and interfaced to Root. Several models are
implemented: the wounded-nucleon model, the binary collisions model, the mixed
model, and the model with hot-spots. Subtleties of the distribution of nucleon
in the nucleus are discussed. The original geometric distribution of sources in
the transverse plane can be superimposed with a statistical distribution
simulating the dispersion in the generated transverse energy in each individual
collision. The program generates inter alia the fixed axes (standard) and
variable-axes (participant) two-dimensional profiles of the density of sources
in the transverse plane and their Fourier components. These profiles can be
used in further analyses of physical phenomena, such as the the jet quenching,
event-by-event hydrodynamics, or analysis of the elliptic flow and its
fluctuations. Characteristics of the event (multiplicities, eccentricities,
Fourier coefficients, etc.) are evaluated and stored in a file for further
off-line studies. A number of scripts is provided for that purpose. Supplied
variants of the code can also be used for the proton-nucleus and
deuteron-nucleus collisions.
| nucl-th nucl-ex | glissando is a glauber montecarlo generator for earlystages of relativistic heavyion collisions written in c and interfaced to root several models are implemented the woundednucleon model the binary collisions model the mixed model and the model with hotspots subtleties of the distribution of nucleon in the nucleus are discussed the original geometric distribution of sources in the transverse plane can be superimposed with a statistical distribution simulating the dispersion in the generated transverse energy in each individual collision the program generates inter alia the fixed axes standard and variableaxes participant twodimensional profiles of the density of sources in the transverse plane and their fourier components these profiles can be used in further analyses of physical phenomena such as the the jet quenching eventbyevent hydrodynamics or analysis of the elliptic flow and its fluctuations characteristics of the event multiplicities eccentricities fourier coefficients etc are evaluated and stored in a file for further offline studies a number of scripts is provided for that purpose supplied variants of the code can also be used for the protonnucleus and deuteronnucleus collisions | [['glissando', 'is', 'a', 'glauber', 'montecarlo', 'generator', 'for', 'earlystages', 'of', 'relativistic', 'heavyion', 'collisions', 'written', 'in', 'c', 'and', 'interfaced', 'to', 'root', 'several', 'models', 'are', 'implemented', 'the', 'woundednucleon', 'model', 'the', 'binary', 'collisions', 'model', 'the', 'mixed', 'model', 'and', 'the', 'model', 'with', 'hotspots', 'subtleties', 'of', 'the', 'distribution', 'of', 'nucleon', 'in', 'the', 'nucleus', 'are', 'discussed', 'the', 'original', 'geometric', 'distribution', 'of', 'sources', 'in', 'the', 'transverse', 'plane', 'can', 'be', 'superimposed', 'with', 'a', 'statistical', 'distribution', 'simulating', 'the', 'dispersion', 'in', 'the', 'generated', 'transverse', 'energy', 'in', 'each', 'individual', 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710.5732 | The interplay between ionized gas and massive stars in the HII galaxy
IIZw70: integral field spectroscopy with PMAS | We performed an integral field spectroscopic study for the HII galaxy IIZw70
in order to investigate the interplay between its ionized interstellar medium
(ISM) and the massive star formation (SF). Observations were taken in the
optical spectral range (3700-6800 A) with the Potsdam Multi-Aperture
Spectrophotometer (PMAS) attached to the 3.5 m telescope at CAHA. We created
and analysed maps of spatially distributed emission-lines, continuum emission
and properties of the ionized ISM (e.g. physical-chemical conditions, dust
extinction, kinematics). We investigated the relation of these properties to
the spatial distribution and evolutionary stage of the massive stars. For the
first time we have detected the presence of Wolf-Rayet (WR) stars in this
galaxy. The peak of the ionized gas emission coincides with the location of the
WR bump. The region of the galaxy with lower dust extinction corresponds to the
region that shows the lowest values of velocity dispersion and radial velocity.
The overall picture suggests that the ISM of this region is being disrupted via
photoionization and stellar winds, leading to a spatial decoupling between
gas+stars and dust clouds. The bulk of dust appears to be located at the
boundaries of the region occupied by the probable ionizing cluster. We also
found that this region is associated to the nebular emission in HeII4686 and to
the intensity maximum of most emission lines. This indicates that the hard
ionizing radiation responsible for the HeII4686 nebular emission can be related
to the youngest stars. Within $\sim$ 0.4 x 0.3 kpc^2 in the central burst, we
derived O/H using direct determinations of Te[OIII]. We found abundances in the
range 12+log(O/H)=7.65-8.05, yielding an error-weighted mean of
12+log(O/H)=7.86 $\pm$0.05.
| astro-ph | we performed an integral field spectroscopic study for the hii galaxy iizw70 in order to investigate the interplay between its ionized interstellar medium ism and the massive star formation sf observations were taken in the optical spectral range 37006800 a with the potsdam multiaperture spectrophotometer pmas attached to the 35 m telescope at caha we created and analysed maps of spatially distributed emissionlines continuum emission and properties of the ionized ism eg physicalchemical conditions dust extinction kinematics we investigated the relation of these properties to the spatial distribution and evolutionary stage of the massive stars for the first time we have detected the presence of wolfrayet wr stars in this galaxy the peak of the ionized gas emission coincides with the location of the wr bump the region of the galaxy with lower dust extinction corresponds to the region that shows the lowest values of velocity dispersion and radial velocity the overall picture suggests that the ism of this region is being disrupted via photoionization and stellar winds leading to a spatial decoupling between gasstars and dust clouds the bulk of dust appears to be located at the boundaries of the region occupied by the probable ionizing cluster we also found that this region is associated to the nebular emission in heii4686 and to the intensity maximum of most emission lines this indicates that the hard ionizing radiation responsible for the heii4686 nebular emission can be related to the youngest stars within sim 04 x 03 kpc2 in the central burst we derived oh using direct determinations of teoiii we found abundances in the range 12logoh765805 yielding an errorweighted mean of 12logoh786 pm005 | [['we', 'performed', 'an', 'integral', 'field', 'spectroscopic', 'study', 'for', 'the', 'hii', 'galaxy', 'iizw70', 'in', 'order', 'to', 'investigate', 'the', 'interplay', 'between', 'its', 'ionized', 'interstellar', 'medium', 'ism', 'and', 'the', 'massive', 'star', 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710.5733 | Tsunamis, Viscosity and the HBT Puzzle | The equation of state and bulk and shear viscosities are shown to be able to
affect the transverse dynamics of a central heavy ion collision. The net
entropy, along with the femtoscopic radii are shown to be affected at the
10-20% level by both shear and bulk viscosity. The degree to which these
effects help build a tsunami-like pulse is also discussed.
| nucl-th | the equation of state and bulk and shear viscosities are shown to be able to affect the transverse dynamics of a central heavy ion collision the net entropy along with the femtoscopic radii are shown to be affected at the 1020 level by both shear and bulk viscosity the degree to which these effects help build a tsunamilike pulse is also discussed | [['the', 'equation', 'of', 'state', 'and', 'bulk', 'and', 'shear', 'viscosities', 'are', 'shown', 'to', 'be', 'able', 'to', 'affect', 'the', 'transverse', 'dynamics', 'of', 'a', 'central', 'heavy', 'ion', 'collision', 'the', 'net', 'entropy', 'along', 'with', 'the', 'femtoscopic', 'radii', 'are', 'shown', 'to', 'be', 'affected', 'at', 'the', '1020', 'level', 'by', 'both', 'shear', 'and', 'bulk', 'viscosity', 'the', 'degree', 'to', 'which', 'these', 'effects', 'help', 'build', 'a', 'tsunamilike', 'pulse', 'is', 'also', 'discussed']] | [-0.09008076227825856, 0.2286881216531319, -0.11692305404182163, 0.04859910224331543, -0.01959596931814186, -0.09395588336572532, -0.054944952035457975, 0.3458611392265847, -0.30546487074705864, -0.2857457736446973, 0.05530923452310925, -0.3003280979859072, -0.018522376172064293, 0.16399649281295076, 0.002076875673787248, 0.0807501325503953, 0.045425319377588286, 0.05007003626275447, -0.0428544947907569, -0.21307686179305516, 0.2985406399313961, 0.11371119215243286, 0.28058232385064324, 0.1497146600496865, 0.06531624275920613, -0.05904192926602498, -0.013673531597540263, 0.11758896603339142, -0.1617032999187828, 0.060028742998838425, 0.23013141859442957, -0.016496653082750497, 0.1708258270706621, -0.4175025103012881, -0.22120937213466893, 0.045490423070957825, 0.12197522903302489, 0.12223469598722013, -0.002231042681922836, -0.24721675768734946, 0.08199979409935974, -0.18673059870625072, -0.16848660658504214, -0.08262134319351565, 0.009246133478178133, 0.06629420296409197, -0.2690638339657697, 0.16437653128776863, 0.007795478033292438, 0.003385976137172791, -0.06265875030188792, -0.12499568836703416, -0.12787833787320602, 0.0796553315895219, 0.11433523313532915, 0.07401290181658096, 0.19868570299548727, -0.13730250076661188, -0.02640443999740866, 0.36507864491713626, -0.0442016392705902, -0.23693236576453333, 0.21183694251662782, -0.1924396645608208, -0.07734232247927256, 0.16962877828477613, 0.21533774601430783, 0.08626733957639625, -0.15546976620211236, -0.0352092070623316, 0.05812735929183902, 0.17470022469634358, 0.08151199667143726, 0.039925807531202034, 0.2434075741818355, 0.11339665892639107, 0.011901711203878926, 0.10803592058613093, -0.11198717298271556, -0.06400580489407143, -0.28424436502879663, -0.12936878733096585, -0.13232314266685036, 0.03040167409926653, -0.07340075982093337, -0.10548503267590047, 0.38013605226672464, 0.13210618102382268, 0.22820593272110506, 0.00996320525131699, 0.24398514273906907, 0.13660653926912816, 0.07308593725845698, 0.12517982450193696, 0.32382008033023485, 0.17944204026547772, 0.12487978973395882, -0.30278119325427516, 0.08152152776658055, 0.04957570991433796] |
710.5734 | Dirac Fields in Loop Quantum Gravity and Big Bang Nucleosynthesis | Big Bang nucleosynthesis requires a fine balance between equations of state
for photons and relativistic fermions. Several corrections to equation of state
parameters arise from classical and quantum physics, which are derived here
from a canonical perspective. In particular, loop quantum gravity allows one to
compute quantum gravity corrections for Maxwell and Dirac fields. Although the
classical actions are very different, quantum corrections to the equation of
state are remarkably similar. To lowest order, these corrections take the form
of an overall expansion-dependent multiplicative factor in the total density.
We use these results, along with the predictions of Big Bang nucleosynthesis,
to place bounds on these corrections.
| astro-ph gr-qc hep-th | big bang nucleosynthesis requires a fine balance between equations of state for photons and relativistic fermions several corrections to equation of state parameters arise from classical and quantum physics which are derived here from a canonical perspective in particular loop quantum gravity allows one to compute quantum gravity corrections for maxwell and dirac fields although the classical actions are very different quantum corrections to the equation of state are remarkably similar to lowest order these corrections take the form of an overall expansiondependent multiplicative factor in the total density we use these results along with the predictions of big bang nucleosynthesis to place bounds on these corrections | [['big', 'bang', 'nucleosynthesis', 'requires', 'a', 'fine', 'balance', 'between', 'equations', 'of', 'state', 'for', 'photons', 'and', 'relativistic', 'fermions', 'several', 'corrections', 'to', 'equation', 'of', 'state', 'parameters', 'arise', 'from', 'classical', 'and', 'quantum', 'physics', 'which', 'are', 'derived', 'here', 'from', 'a', 'canonical', 'perspective', 'in', 'particular', 'loop', 'quantum', 'gravity', 'allows', 'one', 'to', 'compute', 'quantum', 'gravity', 'corrections', 'for', 'maxwell', 'and', 'dirac', 'fields', 'although', 'the', 'classical', 'actions', 'are', 'very', 'different', 'quantum', 'corrections', 'to', 'the', 'equation', 'of', 'state', 'are', 'remarkably', 'similar', 'to', 'lowest', 'order', 'these', 'corrections', 'take', 'the', 'form', 'of', 'an', 'overall', 'expansiondependent', 'multiplicative', 'factor', 'in', 'the', 'total', 'density', 'we', 'use', 'these', 'results', 'along', 'with', 'the', 'predictions', 'of', 'big', 'bang', 'nucleosynthesis', 'to', 'place', 'bounds', 'on', 'these', 'corrections']] | [-0.08200003861071858, 0.1736088062139318, -0.11343909075202525, 0.11764557570008174, -0.06853788180874204, -0.13752535391897666, 0.018015153380989465, 0.27726850994282737, -0.25573662356561366, -0.3382941115788131, 0.022149559547509648, -0.3210162904668426, -0.0669703351702752, 0.20727827204039917, -0.012963025518780891, 0.06662840390015605, 0.053943418506708626, 0.040209901290682123, -0.12180000965325337, -0.24657263971408303, 0.37891788566309326, 0.061446614646932705, 0.20508819918218507, 0.02636000329523154, 0.07670939225211458, -0.09205711374217469, 0.00982423906899848, -0.0015316703620384324, -0.14888939147217656, 0.0931702114099127, 0.21051799587659398, 0.051785982710326896, 0.20427541303852537, -0.492330475798193, -0.22519502480391343, 0.07408493842472727, 0.10845473131498778, 0.19772513581874762, -0.038471656883319945, -0.2719441039558008, 0.03586576268599118, -0.16703452229640395, -0.10462578385189739, -0.10626291906469906, -0.023316356893804558, -0.05737043614059968, -0.22702411121144048, 0.07019721592539253, 0.004945705138489534, -0.044293259586787447, -0.03144009534834076, -0.11914170860699466, 0.003432874009891782, 0.147652746916239, 0.04950253171890201, -0.015656218121601444, 0.1191247535149022, -0.19035944990145992, -0.11554242054633093, 0.4526824178701302, -0.08133743746087553, -0.13862418082876587, 0.14465631830795966, -0.162361748288122, -0.15573781861414043, 0.10844299520524044, 0.14333112401457257, 0.08713179839256588, -0.12999596779304995, 0.14289128832038017, 0.07012843660777435, 0.13168557910775802, 0.061378233123763976, 0.07623574162288657, 0.21986565521022058, 0.054428360723661924, 0.006908443918943686, 0.04859033046083806, -0.05625337016557888, -0.22447251922776043, -0.37176299012564823, -0.1584394638040015, -0.09839548146844192, 0.13265684132358796, -0.13370665674109367, -0.1844175551251403, 0.3244588288526877, 0.16201463840212146, 0.1730521861727367, 0.030956553805944562, 0.28142449294902244, 0.16099643049199344, 0.05116052227973376, 0.07056579998483495, 0.27419968488415314, 0.2009632303643058, 0.0795072981745075, -0.2476316390093416, -0.01213265562271875, 0.0854588203189262] |
710.5735 | Critical behavior of diluted magnetic semiconductors: the apparent
violation and the eventual restoration of the Harris criterion for all
regimes of disorder | Using large-scale Monte Carlo calculations, we consider strongly disordered
Heisenberg models on a cubic lattice with missing sites (as in diluted magnetic
semiconductors such as Ga_{1-x}Mn_{x}As). For disorder ranging from weak to
strong levels of dilution, we identify Curie temperatures and calculate the
critical exponents nu, gamma, eta, and beta finding, per the Harris criterion,
good agreement with critical indices for the pure Heisenberg model where there
is no disorder component. Moreover, we find that thermodynamic quantities (e.g.
the second moment of the magnetization per spin) self average at the
ferromagnetic transition temperature with relative fluctuations tending to zero
with increasing system size. We directly calculate effective critical exponents
for T > T_{c}, yielding values which may differ significantly from the critical
indices for the pure system, especially in the presence of strong disorder.
Ultimately, the difference is only apparent, and eventually disappears when T
is very close to T_{c}.
| cond-mat.mtrl-sci cond-mat.dis-nn | using largescale monte carlo calculations we consider strongly disordered heisenberg models on a cubic lattice with missing sites as in diluted magnetic semiconductors such as ga_1xmn_xas for disorder ranging from weak to strong levels of dilution we identify curie temperatures and calculate the critical exponents nu gamma eta and beta finding per the harris criterion good agreement with critical indices for the pure heisenberg model where there is no disorder component moreover we find that thermodynamic quantities eg the second moment of the magnetization per spin self average at the ferromagnetic transition temperature with relative fluctuations tending to zero with increasing system size we directly calculate effective critical exponents for t t_c yielding values which may differ significantly from the critical indices for the pure system especially in the presence of strong disorder ultimately the difference is only apparent and eventually disappears when t is very close to t_c | [['using', 'largescale', 'monte', 'carlo', 'calculations', 'we', 'consider', 'strongly', 'disordered', 'heisenberg', 'models', 'on', 'a', 'cubic', 'lattice', 'with', 'missing', 'sites', 'as', 'in', 'diluted', 'magnetic', 'semiconductors', 'such', 'as', 'ga_1xmn_xas', 'for', 'disorder', 'ranging', 'from', 'weak', 'to', 'strong', 'levels', 'of', 'dilution', 'we', 'identify', 'curie', 'temperatures', 'and', 'calculate', 'the', 'critical', 'exponents', 'nu', 'gamma', 'eta', 'and', 'beta', 'finding', 'per', 'the', 'harris', 'criterion', 'good', 'agreement', 'with', 'critical', 'indices', 'for', 'the', 'pure', 'heisenberg', 'model', 'where', 'there', 'is', 'no', 'disorder', 'component', 'moreover', 'we', 'find', 'that', 'thermodynamic', 'quantities', 'eg', 'the', 'second', 'moment', 'of', 'the', 'magnetization', 'per', 'spin', 'self', 'average', 'at', 'the', 'ferromagnetic', 'transition', 'temperature', 'with', 'relative', 'fluctuations', 'tending', 'to', 'zero', 'with', 'increasing', 'system', 'size', 'we', 'directly', 'calculate', 'effective', 'critical', 'exponents', 'for', 't', 't_c', 'yielding', 'values', 'which', 'may', 'differ', 'significantly', 'from', 'the', 'critical', 'indices', 'for', 'the', 'pure', 'system', 'especially', 'in', 'the', 'presence', 'of', 'strong', 'disorder', 'ultimately', 'the', 'difference', 'is', 'only', 'apparent', 'and', 'eventually', 'disappears', 'when', 't', 'is', 'very', 'close', 'to', 't_c']] | [-0.123848506205734, 0.2465149832111252, -0.008254796900980224, 0.06449917615031911, 0.018815185094952284, -0.19026989781632925, 0.10652929791225896, 0.35377264864611496, -0.2417147287336372, -0.2924084868289893, 0.0421655995618152, -0.36084998559773956, -0.07068254960694619, 0.18023693619605355, 0.06311077171086565, 0.010396589546237022, -0.020003233047127224, 0.06103989117952289, -0.1328155709150866, -0.20495340557325156, 0.2882132508351324, 0.051248761867454286, 0.29410436584757976, 0.0733047703127908, 0.020864381620474083, 0.018068112052262966, 0.09347590327500396, 0.06820287880168965, -0.1981175673656082, 0.012805857855710201, 0.21565919726315574, -0.07310871228313186, 0.18796982223343028, -0.3462438484366308, -0.2043032612420709, 0.12323234679846205, 0.1233761618619952, 0.11452334308168607, -0.008527664800530813, -0.2296925890931372, 0.09742176975436109, -0.13114205942076676, -0.1567824173770648, -0.09817024951038145, 0.035056524553754985, 0.024698193618658954, -0.3067201795493996, 0.15715614797515426, 0.04310312923599674, 0.12185432737486729, -0.068933674646854, -0.1592986857652939, -0.05963784429063433, 0.1302769430313375, 0.08637455970145787, 0.08458290812903202, 0.14512990971702158, -0.13980024969961177, -0.08583475416760591, 0.3532950292785196, -0.08184415233265234, -0.09939325407722452, 0.19989219266958785, -0.2162707848880665, -0.14327253512538118, 0.1595298375109298, 0.10123829764232739, 0.06451641948699902, -0.09339911789344639, 0.07255113586797472, 0.03714484489529125, 0.20757985343819096, -0.0010394076597970603, 0.010761351206200432, 0.22860106518304588, 0.13685111491159604, 0.05392732376532767, 0.14982693899272873, -0.10007466951966436, -0.12443100366172624, -0.24973768213351302, -0.13222171871566632, -0.21199929922383165, 0.10306132050549874, -0.15930667792686384, -0.20622984789805673, 0.3099328286933319, 0.19832038016280396, 0.19363798588614337, 0.04320058477151789, 0.20820218352475922, 0.16690166542875337, 0.05260217815462575, 0.07278644800461179, 0.23109215217792498, 0.1577212195405924, 0.11487821075165232, -0.2575105643011208, 0.07979404741285631, 0.04197696524190923] |
710.5736 | Extending the Reach of Hydrodynamics | Recent and ongoing improvements to hydrodynamic treatments at RHIC are
extending the physics reach of hydrodynamics, and improving the phenomenology.
Here, the links between technological improvements and the extension of physics
are emphasized.
| nucl-th | recent and ongoing improvements to hydrodynamic treatments at rhic are extending the physics reach of hydrodynamics and improving the phenomenology here the links between technological improvements and the extension of physics are emphasized | [['recent', 'and', 'ongoing', 'improvements', 'to', 'hydrodynamic', 'treatments', 'at', 'rhic', 'are', 'extending', 'the', 'physics', 'reach', 'of', 'hydrodynamics', 'and', 'improving', 'the', 'phenomenology', 'here', 'the', 'links', 'between', 'technological', 'improvements', 'and', 'the', 'extension', 'of', 'physics', 'are', 'emphasized']] | [-0.048035654705017805, 0.1376612985675985, -0.10791088718300064, 0.05801330753743197, -0.08814809485479738, -0.09029297643538678, -0.024404766066282085, 0.29685568315626093, -0.2360923667015, -0.3670828453632015, 0.06710028710464637, -0.3460858648247791, -0.053190963794336174, 0.2555847142569043, 0.017499773248070567, 0.04186104808115598, 0.10001753205715706, -0.10832919397701819, -0.1410163058617124, -0.29749195204313955, 0.21189654389198756, 0.17136570695561892, 0.22995684988740267, 0.20339723834485718, 0.03459112865455223, -0.0464755603196946, -0.1353235306839148, -0.0015838148467468493, -0.18565187031741848, 0.11747659511412635, 0.30090544796125457, 0.08401220808313652, 0.25749351355162536, -0.4472790988952373, -0.27281557850426796, 0.05621083597229286, 0.08370547829139413, 0.13419397056780077, -0.08180111790583892, -0.2480567145076665, 0.018091635834990127, -0.2215821413379727, -0.13289736360875945, -0.059966861669002385, 0.012279014695774425, 0.05186776962893253, -0.22488481509075922, 0.0685039023501855, 0.05821484928442673, 0.0967512707310644, 0.028962947936220604, -0.17719963531602512, 0.036484297760056725, 0.11784612330974954, 0.07189587826106811, 0.07680489461530339, 0.12992785961338968, -0.26283862142626085, -0.21301280419257554, 0.38551331960567925, 0.005874500073718302, -0.1214127057711735, 0.2932813603882537, -0.20202631633869853, -0.13994779090651058, 0.05959346616697131, 0.19325846128843047, 0.020129107559720676, -0.11553677416999232, 0.09432006829989735, 0.027131715958768673, 0.02471219271308545, 0.04646936581103188, 0.10247851219592673, 0.2733776437852419, 0.2973816023687973, -0.038082705697778496, 0.021501012569801373, -0.030547281430864878, -0.15056469641400105, -0.37364361141667224, -0.09345288710160689, -0.07389240175711387, -0.031172160341432602, -0.0005252952956432251, -0.013526409836203762, 0.3829919003288854, 0.2427487371094299, 0.1340500797624841, 0.020882961989352196, 0.2798712214306844, -0.011549502328941317, 0.03855081292038614, 0.05959641741532268, 0.33451516062698583, 0.16852279694638017, 0.18440912854434413, -0.24142653156410565, 0.03468768043923333, 0.03403711031106385] |
710.5737 | A Cosmic Microwave Background feature consistent with a cosmic texture | The Cosmic Microwave Background provides our most ancient image of the
Universe and our best tool for studying its early evolution. Theories of high
energy physics predict the formation of various types of topological defects in
the very early universe, including cosmic texture which would generate hot and
cold spots in the Cosmic Microwave Background. We show through a Bayesian
statistical analysis that the most prominent, 5 degree radius cold spot
observed in all-sky images, which is otherwise hard to explain, is compatible
with having being caused by a texture. From this model, we constrain the
fundamental symmetry breaking energy scale to be phi_0 ~ 8.7 x 10^(15) GeV. If
confirmed, this detection of a cosmic defect will probe physics at energies
exceeding any conceivable terrestrial experiment.
| astro-ph hep-ph hep-th | the cosmic microwave background provides our most ancient image of the universe and our best tool for studying its early evolution theories of high energy physics predict the formation of various types of topological defects in the very early universe including cosmic texture which would generate hot and cold spots in the cosmic microwave background we show through a bayesian statistical analysis that the most prominent 5 degree radius cold spot observed in allsky images which is otherwise hard to explain is compatible with having being caused by a texture from this model we constrain the fundamental symmetry breaking energy scale to be phi_0 87 x 1015 gev if confirmed this detection of a cosmic defect will probe physics at energies exceeding any conceivable terrestrial experiment | [['the', 'cosmic', 'microwave', 'background', 'provides', 'our', 'most', 'ancient', 'image', 'of', 'the', 'universe', 'and', 'our', 'best', 'tool', 'for', 'studying', 'its', 'early', 'evolution', 'theories', 'of', 'high', 'energy', 'physics', 'predict', 'the', 'formation', 'of', 'various', 'types', 'of', 'topological', 'defects', 'in', 'the', 'very', 'early', 'universe', 'including', 'cosmic', 'texture', 'which', 'would', 'generate', 'hot', 'and', 'cold', 'spots', 'in', 'the', 'cosmic', 'microwave', 'background', 'we', 'show', 'through', 'a', 'bayesian', 'statistical', 'analysis', 'that', 'the', 'most', 'prominent', '5', 'degree', 'radius', 'cold', 'spot', 'observed', 'in', 'allsky', 'images', 'which', 'is', 'otherwise', 'hard', 'to', 'explain', 'is', 'compatible', 'with', 'having', 'being', 'caused', 'by', 'a', 'texture', 'from', 'this', 'model', 'we', 'constrain', 'the', 'fundamental', 'symmetry', 'breaking', 'energy', 'scale', 'to', 'be', 'phi_0', '87', 'x', '1015', 'gev', 'if', 'confirmed', 'this', 'detection', 'of', 'a', 'cosmic', 'defect', 'will', 'probe', 'physics', 'at', 'energies', 'exceeding', 'any', 'conceivable', 'terrestrial', 'experiment']] | [-0.07981030342893468, 0.1735292296479678, -0.09009975598873718, 0.13319731097795912, -0.06454306877114707, -0.08871366981128674, -0.02263902002088134, 0.344255656151781, -0.2269808106394189, -0.3875674886096801, 0.07675804505919269, -0.28565702584779096, -0.040816216903280404, 0.1842986936662494, 0.006830249820643711, -0.015515880103478031, 0.011510933594157299, -0.004745110906364899, -0.005244361668629276, -0.23062272036045287, 0.25572195203073084, 0.15351602244412615, 0.2718450788885266, 0.06514018135780972, 0.08615201287755063, -0.07857390276215498, -0.06390880938436437, -0.030933541862944527, -0.12254289650231912, 0.08698884773600314, 0.24831436052253203, 0.1376978521187243, 0.15457304670209332, -0.4135631297581962, -0.26591947246786385, 0.15956141891342307, 0.12700728169043682, 0.11150067784668256, -0.10056675899226869, -0.27822633801649016, 0.09700436745137382, -0.11579361090370517, -0.15479780508515736, -0.02299330578303881, -0.007199241375986723, -0.05027346338176848, -0.2052210150462102, 0.11292552809962737, 0.009706883465812083, 0.044479156888666604, -0.07441353870810763, -0.056817259603468256, -0.020234054047799124, 0.0459074206772216, 0.04741549483289765, 0.08272309343714918, 0.18443275362877767, -0.16185702642357525, -0.09489208463734637, 0.43392247557344416, -0.0957171169612261, -0.03556429412001596, 0.21135260321066848, -0.219502693016289, -0.1810485212435384, 0.14590807360345645, 0.12382356296958667, 0.07290781401319518, -0.14476802951050183, 0.06205287787763934, 0.020233908044506928, 0.21113915606087724, 0.10174180989316295, 0.04266352318449035, 0.37657224984159543, 0.20917427962801108, 0.03769316135476979, 0.07283271678043382, -0.145369146828584, -0.010529564660308617, -0.2918955089514225, -0.09968096234037407, -0.16363138055783652, 0.0870665328065303, -0.11141327572298156, -0.14181142643330588, 0.3996979296650915, 0.16997736200319774, 0.19798945553696876, -0.04153121908893809, 0.2917885592148181, 0.015394153962251805, 0.05280728348866216, 0.05360194449202113, 0.2956293418500868, 0.11122570187962126, 0.09012853782550091, -0.20156024716654053, 0.045320985846162315, -0.01173286157704535] |
710.5738 | Factorization of nonlinear supersymmetry in one-dimensional Quantum
Mechanics. I: general classification of reducibility and analysis of the
third-order algebra | We study possible factorizations of supersymmetric (SUSY) transformations in
the one-dimensional quantum mechanics into chains of elementary Darboux
transformations with nonsingular coefficients. A classification of irreducible
(almost) isospectral transformations and of related SUSY algebras is presented.
The detailed analysis of SUSY algebras and isospectral operators is performed
for the third-order case.
| quant-ph hep-th math-ph math.MP | we study possible factorizations of supersymmetric susy transformations in the onedimensional quantum mechanics into chains of elementary darboux transformations with nonsingular coefficients a classification of irreducible almost isospectral transformations and of related susy algebras is presented the detailed analysis of susy algebras and isospectral operators is performed for the thirdorder case | [['we', 'study', 'possible', 'factorizations', 'of', 'supersymmetric', 'susy', 'transformations', 'in', 'the', 'onedimensional', 'quantum', 'mechanics', 'into', 'chains', 'of', 'elementary', 'darboux', 'transformations', 'with', 'nonsingular', 'coefficients', 'a', 'classification', 'of', 'irreducible', 'almost', 'isospectral', 'transformations', 'and', 'of', 'related', 'susy', 'algebras', 'is', 'presented', 'the', 'detailed', 'analysis', 'of', 'susy', 'algebras', 'and', 'isospectral', 'operators', 'is', 'performed', 'for', 'the', 'thirdorder', 'case']] | [-0.14510988061517185, 0.15186431870667957, -0.05766117967226926, 0.11320941451955222, -0.07642552583003599, -0.22065882829437947, -0.07968381842068743, 0.3665073301058774, -0.26353154265705275, -0.1646415849818903, 0.10829400360885569, -0.30977074327129944, -0.17189021686242675, 0.1422238251121313, -0.05474156941122869, 0.13702268441956417, 0.08829158621237558, 0.042713457243699654, -0.21587277081562206, -0.2686049884513897, 0.3239293317904002, -0.011294419112542243, 0.19914811119145037, 0.013121883439667085, 0.12664110499306344, 0.07909270903716485, -0.08982430025935173, -0.10501463621781737, -0.14092540644182294, 0.10653645085061297, 0.31792111073931056, 0.05706435078572409, 0.047995876338259844, -0.36519002438723747, -0.11914047719362904, 0.1956622881230478, 0.1672581075964605, 0.09798859568385809, -0.039949857924725884, -0.3076825197009991, -0.00908617764784425, -0.14055877251952303, -0.1457153464503148, -0.14088814963093577, 0.0362045711600313, -0.06693275650397089, -0.2030720606665401, 0.09930473837234519, 0.1118678257015406, 0.1168528483157941, -0.06397432090678051, -0.05918767881652742, -0.09114485195673563, 0.005770901921113916, 0.0170735069002737, -0.11428767283374042, 0.13348915415140344, -0.08090175900096987, -0.19534051777137554, 0.46339119452179645, 0.029773259352819593, -0.26601579873000875, 0.12138097556125299, -0.0895586781861151, -0.2540764001143329, 0.1305755363393794, 0.12144287982407738, 0.1443493507948576, -0.13161816502756932, 0.23603151310688938, -0.07750327372010432, 0.07865250668906168, 0.10920076139782574, 0.0020763022180557635, 0.1791549026235646, 0.1184550303162313, 0.013496008245091812, 0.157581393625222, 0.1484254779768925, -0.14162550614713051, -0.4522976875305176, -0.17821785635954024, -0.09956650109048568, 0.12788822376123613, -0.09577878054137816, -0.17000121773019725, 0.47725827823959144, 0.060074084694040755, 0.1531270237676069, 0.06450615756615412, 0.15823847054065587, 0.10240963360696446, 0.10656927113749963, -0.05953433169234617, 0.16839249635699624, 0.27184434666060936, 0.0280585226776334, -0.18112194742642196, -0.18239046451544352, 0.24616121009503508] |
710.5739 | Interpreting scattering wave functions in the presence of
energy-dependent interactions | In scattering theory, the squared relative wave function $|\phi({\bf q},{\bf
r})|^2$ is often interpreted as a weight, due to final-state interactions,
describing the probability enhancement for emission with asymptotic relative
momentum $q$. An equivalence relation also links the integral of the squared
wave function over all coordinate space to the density of states. This
relation, which plays an important role in understanding two-particle
correlation phenomenology, is altered for the case where the potential is
energy dependent, as is assumed in various forms of reaction theory. Here, the
modification to the equivalence relation is derived, and it is shown that the
squared wave function should be augmented by a additional factor if it is to
represent the emission enhancement for final-state interactions. Examples with
relativistic vector interactions, e.g., the Coulomb interaction, are presented.
| nucl-th | in scattering theory the squared relative wave function phibf qbf r2 is often interpreted as a weight due to finalstate interactions describing the probability enhancement for emission with asymptotic relative momentum q an equivalence relation also links the integral of the squared wave function over all coordinate space to the density of states this relation which plays an important role in understanding twoparticle correlation phenomenology is altered for the case where the potential is energy dependent as is assumed in various forms of reaction theory here the modification to the equivalence relation is derived and it is shown that the squared wave function should be augmented by a additional factor if it is to represent the emission enhancement for finalstate interactions examples with relativistic vector interactions eg the coulomb interaction are presented | [['in', 'scattering', 'theory', 'the', 'squared', 'relative', 'wave', 'function', 'phibf', 'qbf', 'r2', 'is', 'often', 'interpreted', 'as', 'a', 'weight', 'due', 'to', 'finalstate', 'interactions', 'describing', 'the', 'probability', 'enhancement', 'for', 'emission', 'with', 'asymptotic', 'relative', 'momentum', 'q', 'an', 'equivalence', 'relation', 'also', 'links', 'the', 'integral', 'of', 'the', 'squared', 'wave', 'function', 'over', 'all', 'coordinate', 'space', 'to', 'the', 'density', 'of', 'states', 'this', 'relation', 'which', 'plays', 'an', 'important', 'role', 'in', 'understanding', 'twoparticle', 'correlation', 'phenomenology', 'is', 'altered', 'for', 'the', 'case', 'where', 'the', 'potential', 'is', 'energy', 'dependent', 'as', 'is', 'assumed', 'in', 'various', 'forms', 'of', 'reaction', 'theory', 'here', 'the', 'modification', 'to', 'the', 'equivalence', 'relation', 'is', 'derived', 'and', 'it', 'is', 'shown', 'that', 'the', 'squared', 'wave', 'function', 'should', 'be', 'augmented', 'by', 'a', 'additional', 'factor', 'if', 'it', 'is', 'to', 'represent', 'the', 'emission', 'enhancement', 'for', 'finalstate', 'interactions', 'examples', 'with', 'relativistic', 'vector', 'interactions', 'eg', 'the', 'coulomb', 'interaction', 'are', 'presented']] | [-0.1453192735718789, 0.16012468850297437, -0.09148647340705131, 0.14441043764853737, -0.055622535539000775, -0.07630756821934924, -0.05499379962125341, 0.3487722864515628, -0.2921004034367136, -0.2895854714425337, -0.004569822797996246, -0.3027867883140447, -0.16709411194350457, 0.1448366688987748, 0.03878821192351593, 0.02379958825468114, 0.018032399074978788, 0.062331323395483196, -0.07561022313276419, -0.1710345286233915, 0.35545747609682043, 0.08651183023131594, 0.25905276421866746, 0.12321330244638816, 0.08848751564933495, 0.08323085795784595, -0.004347031248140742, -0.005266803426352315, -0.08794101239668221, 0.06724919824442953, 0.24856715009126207, 0.07997863512542663, 0.21705869062465022, -0.3612420467137726, -0.20506797109335434, 0.10588575256494523, 0.15777208172805718, 0.07450639390453669, -0.03617713853688628, -0.25635811329332436, 0.009199866001974002, -0.19741199689098832, -0.1484683748285258, -0.049583236217696336, 0.09211101282077531, 0.029533533813347192, -0.30982304557762813, 0.09803170888225202, 0.03867838277261454, 0.015272384908739972, -0.07081811567133461, -0.09960520961039672, -0.03439573796243745, 0.08373731412796064, 0.07995927336830363, 0.1093786202847806, 0.1148605393986641, -0.16930150331498942, -0.05781654754757641, 0.3934008764582827, -0.06277438575599456, -0.26549143623560667, 0.14927308168879597, -0.12784513450143012, -0.06175144613635811, 0.14923831001700213, 0.15038303306650821, 0.07197338142114776, -0.14305933430141798, 0.09428373216183955, -0.016432376871803586, 0.14132037059276958, 0.06065805548816129, 0.07506160468752072, 0.16964773152192886, 0.11666338583877818, 0.026352320092194008, 0.1147008466835938, -0.07611250887258035, -0.1337406180347457, -0.3610890823853851, -0.149459304471472, -0.17611934598905712, 0.05831627560187234, -0.08769445386210326, -0.13819632388604627, 0.3374218228972027, 0.09986719133148929, 0.19267874181616318, 0.03336359688634702, 0.26997593747959897, 0.20730960100825707, 0.09421021515630525, 0.029438987398999885, 0.28959042777194444, 0.18447309203982126, 0.03247144023771398, -0.23543342332369788, 0.08842834003669188, 0.08375275124633459] |
710.574 | HESS Observations and VLT Spectroscopy of PG 1553+113 | AIMS: The properties of the very high energy (VHE; E>100 GeV) gamma-ray
emission from the high-frequency peaked BL Lac PG 1553+113 are investigated. An
attempt is made to measure the currently unknown redshift of this object.
METHODS: VHE Observations of PG 1553+113 were made with the High Energy
Stereoscopic System (HESS) in 2005 and 2006. H+K (1.45-2.45 micron)
spectroscopy of PG 1553+113 was performed in March 2006 with SINFONI, an
integral field spectrometer of the ESO Very Large Telescope (VLT) in Chile.
RESULTS: A VHE signal, ~10 standard deviations, is detected by HESS during
the 2 years of observations (24.8 hours live time). The integral flux above 300
GeV is (4.6 +- 0.6{stat} +- 0.9{syst}) x 10^{-12} cm^{-2} s^{-1}, corresponding
to ~3.4% of the flux from the Crab Nebula above the same threshold. The
time-averaged energy spectrum is measured from 225 GeV to ~1.3 TeV, and is
characterized by a very soft power law (photon index of Gamma = 4.5 +-
0.3{stat} +- 0.1{syst}). No evidence for any flux or spectral variations is
found on any sampled time scale within the VHE data. The redshift of PG
1553+113 could not be determined. Indeed, even though the measured SINFONI
spectrum is the most sensitive ever reported for this object at near infrared
wavelengths, and the sensitivity is comparable to the best spectroscopy at
other wavelengths, no absorption or emission lines were found in the H+K
spectrum presented here.
| astro-ph | aims the properties of the very high energy vhe e100 gev gammaray emission from the highfrequency peaked bl lac pg 1553113 are investigated an attempt is made to measure the currently unknown redshift of this object methods vhe observations of pg 1553113 were made with the high energy stereoscopic system hess in 2005 and 2006 hk 145245 micron spectroscopy of pg 1553113 was performed in march 2006 with sinfoni an integral field spectrometer of the eso very large telescope vlt in chile results a vhe signal 10 standard deviations is detected by hess during the 2 years of observations 248 hours live time the integral flux above 300 gev is 46 06stat 09syst x 1012 cm2 s1 corresponding to 34 of the flux from the crab nebula above the same threshold the timeaveraged energy spectrum is measured from 225 gev to 13 tev and is characterized by a very soft power law photon index of gamma 45 03stat 01syst no evidence for any flux or spectral variations is found on any sampled time scale within the vhe data the redshift of pg 1553113 could not be determined indeed even though the measured sinfoni spectrum is the most sensitive ever reported for this object at near infrared wavelengths and the sensitivity is comparable to the best spectroscopy at other wavelengths no absorption or emission lines were found in the hk spectrum presented here | [['aims', 'the', 'properties', 'of', 'the', 'very', 'high', 'energy', 'vhe', 'e100', 'gev', 'gammaray', 'emission', 'from', 'the', 'highfrequency', 'peaked', 'bl', 'lac', 'pg', '1553113', 'are', 'investigated', 'an', 'attempt', 'is', 'made', 'to', 'measure', 'the', 'currently', 'unknown', 'redshift', 'of', 'this', 'object', 'methods', 'vhe', 'observations', 'of', 'pg', '1553113', 'were', 'made', 'with', 'the', 'high', 'energy', 'stereoscopic', 'system', 'hess', 'in', '2005', 'and', '2006', 'hk', '145245', 'micron', 'spectroscopy', 'of', 'pg', '1553113', 'was', 'performed', 'in', 'march', '2006', 'with', 'sinfoni', 'an', 'integral', 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'though', 'the', 'measured', 'sinfoni', 'spectrum', 'is', 'the', 'most', 'sensitive', 'ever', 'reported', 'for', 'this', 'object', 'at', 'near', 'infrared', 'wavelengths', 'and', 'the', 'sensitivity', 'is', 'comparable', 'to', 'the', 'best', 'spectroscopy', 'at', 'other', 'wavelengths', 'no', 'absorption', 'or', 'emission', 'lines', 'were', 'found', 'in', 'the', 'hk', 'spectrum', 'presented', 'here']] | [-0.05256228099059281, 0.14986603981315996, -0.06052519228702796, 0.10973063788119831, -0.1016622146527315, -0.13169871801249522, 0.022191110006854708, 0.471659399761722, -0.13984000038281325, -0.4210882185083204, 0.08488808506457456, -0.33079920305693844, 0.05132001751415624, 0.23095564161886958, -0.02779078330184285, 0.000282448484132805, 0.09549086762277072, -0.05201994767713618, 0.022218958148657514, -0.19769583716546987, 0.17437554704294347, 0.1936241806974506, 0.22840832907441555, 0.03281341394879213, 0.11061813766869379, -0.07302883810741057, -0.05738333754135087, 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710.5741 | Study of the nonlocal gauge invariant mass operator $\mathrm{Tr} \int
d^4x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ in the maximal Abelian gauge | The nonlocal gauge invariant mass operator $\mathrm{Tr} \int d^{4}x
F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ is investigated in Yang-Mills theories in the
maximal Abelian gauge. By means of the introduction of auxiliary fields a local
action is achieved, enabling us to use the algebraic renormalization in order
to prove the renormalizability of the resulting local model to all orders of
perturbation theory.
| hep-th | the nonlocal gauge invariant mass operator mathrmtr int d4x f_munu d21 f_munu is investigated in yangmills theories in the maximal abelian gauge by means of the introduction of auxiliary fields a local action is achieved enabling us to use the algebraic renormalization in order to prove the renormalizability of the resulting local model to all orders of perturbation theory | [['the', 'nonlocal', 'gauge', 'invariant', 'mass', 'operator', 'mathrmtr', 'int', 'd4x', 'f_munu', 'd21', 'f_munu', 'is', 'investigated', 'in', 'yangmills', 'theories', 'in', 'the', 'maximal', 'abelian', 'gauge', 'by', 'means', 'of', 'the', 'introduction', 'of', 'auxiliary', 'fields', 'a', 'local', 'action', 'is', 'achieved', 'enabling', 'us', 'to', 'use', 'the', 'algebraic', 'renormalization', 'in', 'order', 'to', 'prove', 'the', 'renormalizability', 'of', 'the', 'resulting', 'local', 'model', 'to', 'all', 'orders', 'of', 'perturbation', 'theory']] | [-0.19920504463183442, 0.18041505478322506, -0.08053911578352169, 0.08282459906491814, -0.08295344229850729, -0.10293731563014247, -0.0378641833144761, 0.27061682904802137, -0.20563443156622224, -0.2670094567208977, 0.04453163135054884, -0.25815950908650787, -0.13685538704996392, 0.06212010491497309, -0.04718854062069776, 0.05170915193729481, -0.0754003059829317, 0.10953050798152462, -0.13038709677234925, -0.3141636073557755, 0.33408999527504635, -0.01520858121783299, 0.24480542210049105, 0.06326638289995618, 0.15033322774757774, 0.05554009526494449, -0.06797855486304073, -0.0037669876464090104, -0.11434008844070516, 0.12314865529789763, 0.2030419286229979, 0.009748010134513853, 0.20902844149051075, -0.4037941279584321, -0.19457516298329425, 0.10432311677831714, 0.11730319679856806, 0.08012244757264853, 0.03961581465693475, -0.31723068806074434, 0.07377609800176411, -0.19104207906935175, -0.18508673094260364, -0.14540495862395075, -0.011482990844080509, -0.10436113145581241, -0.34378303607957345, 0.08007206656117687, -0.0005985572677642359, 0.0946949038307293, -0.025012230072900557, -0.027766296117156114, -0.07373008668675261, 0.044644794782023815, 0.10385663629612112, 0.1270631735007894, 0.1224550313111079, -0.20215245177259006, -0.09862383817306768, 0.36926964209493945, -0.13409740524563812, -0.2336302915414385, 0.1129642967608268, -0.1189543062868386, -0.133593309366823, 0.07519877742249835, 0.07118241185859098, 0.17041712703372716, -0.1590337024496521, 0.2916496250841577, -0.032338351330925094, 0.1192112124951209, 0.08170500214574701, 0.05913307374122284, 0.1165588508375873, 0.03613978328372715, 0.09635381046998298, 0.09376428474403792, 0.06480310554221524, -0.1401602654023317, -0.39480865689910066, -0.12414280689021541, -0.11072190349992617, 0.14758409432261804, -0.12679143668097145, -0.14175841796717023, 0.39554099737019355, 0.1727832749730639, 0.09106911099673706, 0.041683670370129204, 0.19140462743086836, 0.15497407820707154, 0.12061973048622672, 0.04124635303692924, 0.22845197871516823, 0.26418996751071666, 0.024521501008736884, -0.25876339660736464, -0.14623371370618185, 0.2663995450110001] |
710.5742 | Mathematical Foundations of Supersymmetry | We lay down the foundations for a systematic study of differentiable and
algebraic supervarieties, with a special attention to supergroups.
| math.RA math.AC | we lay down the foundations for a systematic study of differentiable and algebraic supervarieties with a special attention to supergroups | [['we', 'lay', 'down', 'the', 'foundations', 'for', 'a', 'systematic', 'study', 'of', 'differentiable', 'and', 'algebraic', 'supervarieties', 'with', 'a', 'special', 'attention', 'to', 'supergroups']] | [-0.08521886244416237, -0.02139914412982762, -0.08953079106286169, 0.12467019185423851, -0.20254607163369656, -0.15399043220095338, 0.1110153985209763, 0.35553521737456323, -0.23443339057266713, -0.1880837043747306, 0.10328429990913719, -0.2325782163243275, -0.1637514479458332, 0.20323247518390417, -0.14168389048427343, 0.020881601516157387, -0.0030929966364055873, 0.012290343828499316, -0.23226364539004862, -0.21159785808995366, 0.349825461441651, 0.03527349811047316, 0.21708956882357597, 0.04907559365965426, 0.12365359477698804, 0.027046452183276413, -0.045539409201592204, -0.01807784680277109, -0.1761248866096139, 0.17740808236412703, 0.3645706083625555, 0.022321982553694397, 0.33344625439494846, -0.40900117084383963, -0.1560270083602518, 0.1125632147770375, 0.08477283506654203, 0.12811832120642067, -0.014613625733181835, -0.2953321058303118, 0.07113690660335123, -0.1719755209516734, -0.1333240643143654, -0.14212954335380346, 0.08375947242602706, 0.0005158221232704818, -0.1639863669872284, -0.05385792292654514, 0.12573546022176743, 0.20541099491529166, 0.018262663250789048, -0.09770004362217151, 0.001724638044834137, 0.0866730441339314, 0.04544889247044921, 0.09518412832403556, 0.11110105260740966, -0.09567573945969343, -0.08218068284913897, 0.3964116916060448, 0.009951194695895537, -0.20921569578349591, 0.11214271283242852, -0.11184870479628443, -0.27397509519942104, 0.04916952767525799, 0.23852043487131597, 0.13985531758517028, -0.11911903506843373, 0.15003679962537717, -0.02811825827229768, 0.0740171948214993, 0.01157682470511645, 0.024875539913773538, 0.21826338234823198, 0.22030338328331708, 0.016616551438346505, 0.1682114936207654, 0.015797314513474704, -0.12884316886775196, -0.3649683155119419, -0.18576124894898385, 0.004606459103524685, 0.16477155946195127, 0.006831527222675504, -0.1567628063261509, 0.4347214600071311, 0.13035519416444002, 0.17058318529743702, 0.20079170879907907, 0.19918991960585117, 0.07724809320643544, 0.0468809993006289, 0.028379143727943302, 0.1986311139538884, 0.2316406225785613, 0.017049302719533442, -0.09914781972765922, -0.11947668490465731, 0.055116879567503926] |
710.5743 | The Einstein-Boltzmann Relation for Thermodynamic and Hydrodynamic
Fluctuations | When making the connection between the thermodynamics of irreversible
processes and the theory of stochastic processes through the
fluctuation-dissipation theorem, it is necessary to invoke a postulate of the
Einstein-Boltzmann type. For convective processes hydrodynamic fluctuations
must be included, the velocity is a dynamical variable and although the entropy
cannot depend directly on the velocity, $\delta^{2} S$ will depend on velocity
variations. Some authors do not include velocity variations in $\delta^{2} S$,
and so have to introduce a non-thermodynamic function which replaces the
entropy and does depend on the velocity. At first sight, it seems that the
introduction of such a function requires a generalisation of the
Einstein-Boltzmann relation to be invoked. We review the reason why it is not
necessary to introduce such a function, and therefore why there is no need to
generalise the Einstein-Boltzmann relation in this way. We then obtain the
fluctuation-dissipation theorem which shows some differences as compared with
the non-convective case. We also show that $\delta^{2} S$ is a Liapunov
function when it includes velocity fluctuations.
| cond-mat.stat-mech cond-mat.mes-hall | when making the connection between the thermodynamics of irreversible processes and the theory of stochastic processes through the fluctuationdissipation theorem it is necessary to invoke a postulate of the einsteinboltzmann type for convective processes hydrodynamic fluctuations must be included the velocity is a dynamical variable and although the entropy cannot depend directly on the velocity delta2 s will depend on velocity variations some authors do not include velocity variations in delta2 s and so have to introduce a nonthermodynamic function which replaces the entropy and does depend on the velocity at first sight it seems that the introduction of such a function requires a generalisation of the einsteinboltzmann relation to be invoked we review the reason why it is not necessary to introduce such a function and therefore why there is no need to generalise the einsteinboltzmann relation in this way we then obtain the fluctuationdissipation theorem which shows some differences as compared with the nonconvective case we also show that delta2 s is a liapunov function when it includes velocity fluctuations | [['when', 'making', 'the', 'connection', 'between', 'the', 'thermodynamics', 'of', 'irreversible', 'processes', 'and', 'the', 'theory', 'of', 'stochastic', 'processes', 'through', 'the', 'fluctuationdissipation', 'theorem', 'it', 'is', 'necessary', 'to', 'invoke', 'a', 'postulate', 'of', 'the', 'einsteinboltzmann', 'type', 'for', 'convective', 'processes', 'hydrodynamic', 'fluctuations', 'must', 'be', 'included', 'the', 'velocity', 'is', 'a', 'dynamical', 'variable', 'and', 'although', 'the', 'entropy', 'can', 'not', 'depend', 'directly', 'on', 'the', 'velocity', 'delta2', 's', 'will', 'depend', 'on', 'velocity', 'variations', 'some', 'authors', 'do', 'not', 'include', 'velocity', 'variations', 'in', 'delta2', 's', 'and', 'so', 'have', 'to', 'introduce', 'a', 'nonthermodynamic', 'function', 'which', 'replaces', 'the', 'entropy', 'and', 'does', 'depend', 'on', 'the', 'velocity', 'at', 'first', 'sight', 'it', 'seems', 'that', 'the', 'introduction', 'of', 'such', 'a', 'function', 'requires', 'a', 'generalisation', 'of', 'the', 'einsteinboltzmann', 'relation', 'to', 'be', 'invoked', 'we', 'review', 'the', 'reason', 'why', 'it', 'is', 'not', 'necessary', 'to', 'introduce', 'such', 'a', 'function', 'and', 'therefore', 'why', 'there', 'is', 'no', 'need', 'to', 'generalise', 'the', 'einsteinboltzmann', 'relation', 'in', 'this', 'way', 'we', 'then', 'obtain', 'the', 'fluctuationdissipation', 'theorem', 'which', 'shows', 'some', 'differences', 'as', 'compared', 'with', 'the', 'nonconvective', 'case', 'we', 'also', 'show', 'that', 'delta2', 's', 'is', 'a', 'liapunov', 'function', 'when', 'it', 'includes', 'velocity', 'fluctuations']] | [-0.10258524165343429, 0.13011322564423902, -0.14682827757219272, 0.11590195891603483, -0.1295642828288881, -0.11561317562133698, 0.034910281817967105, 0.32678771373493504, -0.2710082401989857, -0.26621681253151225, 0.0833240986486757, -0.257300606331212, -0.15524957446661386, 0.18462327725928265, -0.08243730824677586, -0.00027186867937101103, 0.02340394862512977, 0.04092330713837133, -0.07331774586467127, -0.20361699917854342, 0.33090132891571933, 0.02830948636630238, 0.22466627799642053, 0.10332605392521388, 0.10468235983838989, -0.014619595352344947, -0.047211093973433, 0.03757274280318377, -0.15534561951121523, 0.022125155600380003, 0.19326792517946118, 0.12317120282765413, 0.2694384538315538, -0.40418750502174516, -0.2318909455015394, 0.13100796366767214, 0.12933825721645947, 0.10836701543942481, 0.00506850606640747, -0.18850516378906465, 0.059439693613252416, -0.14420101366670685, -0.15623715356519888, -0.0781483033340898, 0.05363043645299928, 0.04864756071958906, -0.25231707815856086, 0.13300238607429113, 0.11600960948086624, 0.02287784927239308, -0.03720310357795635, -0.06905008265425618, -0.04672947930975553, 0.0921776248697283, 0.05565122344310401, 0.03660018265925649, 0.1193692593786844, -0.07636490934178491, -0.033910046231992154, 0.39432666598781513, -0.0699426924959202, -0.24707775600416038, 0.18158369153977583, -0.1442960562329804, -0.16558110084508498, 0.05887188491104655, 0.10399770291489845, 0.11046984032162524, -0.13723011973608054, 0.07753691993380568, -0.026790370104156132, 0.2034690310072283, 0.039159168922638446, 0.02539716250965684, 0.19888065236141486, 0.09343172502004127, 0.0758069041312936, 0.09870920118315932, -0.05973304182996252, -0.1050634831243943, -0.37371063922569586, -0.17014031479339722, -0.15314066088946826, 0.08291371032012548, -0.04973320603177875, -0.16590013520487967, 0.3145169693615955, 0.19047770022301574, 0.2024531401693821, 0.06110039924545956, 0.26422003142514155, 0.18007893373431352, 0.09166231598386089, 0.10763700299148012, 0.2541800046496422, 0.16007918150115735, 0.1369938873187935, -0.22472882605658445, 0.1153132043687379, 0.0824295611099227] |
710.5744 | On Painleve VI transcendents related to the Dirac operator on the
hyperbolic disk | Dirac hamiltonian on the Poincare disk in the presence of an Aharonov-Bohm
flux and a uniform magnetic field admits a one-parameter family of self-adjoint
extensions. We determine the spectrum and calculate the resolvent for each
element of this family. Explicit expressions for Green functions are then used
to find Fredholm determinant representations for the tau function of the Dirac
operator with two branch points on the Poincare disk. Isomonodromic deformation
theory for the Dirac equation relates this tau function to a one-parameter
class of solutions of the Painleve VI equation with $\gamma=0$. We analyze long
distance behaviour of the tau function, as well as the asymptotics of the
corresponding Painleve VI transcendents as $s\to 1$. Considering the limit of
flat space, we also obtain a class of solutions of the Painleve V equation with
$\beta=0$.
| math-ph hep-th math.CA math.MP | dirac hamiltonian on the poincare disk in the presence of an aharonovbohm flux and a uniform magnetic field admits a oneparameter family of selfadjoint extensions we determine the spectrum and calculate the resolvent for each element of this family explicit expressions for green functions are then used to find fredholm determinant representations for the tau function of the dirac operator with two branch points on the poincare disk isomonodromic deformation theory for the dirac equation relates this tau function to a oneparameter class of solutions of the painleve vi equation with gamma0 we analyze long distance behaviour of the tau function as well as the asymptotics of the corresponding painleve vi transcendents as sto 1 considering the limit of flat space we also obtain a class of solutions of the painleve v equation with beta0 | [['dirac', 'hamiltonian', 'on', 'the', 'poincare', 'disk', 'in', 'the', 'presence', 'of', 'an', 'aharonovbohm', 'flux', 'and', 'a', 'uniform', 'magnetic', 'field', 'admits', 'a', 'oneparameter', 'family', 'of', 'selfadjoint', 'extensions', 'we', 'determine', 'the', 'spectrum', 'and', 'calculate', 'the', 'resolvent', 'for', 'each', 'element', 'of', 'this', 'family', 'explicit', 'expressions', 'for', 'green', 'functions', 'are', 'then', 'used', 'to', 'find', 'fredholm', 'determinant', 'representations', 'for', 'the', 'tau', 'function', 'of', 'the', 'dirac', 'operator', 'with', 'two', 'branch', 'points', 'on', 'the', 'poincare', 'disk', 'isomonodromic', 'deformation', 'theory', 'for', 'the', 'dirac', 'equation', 'relates', 'this', 'tau', 'function', 'to', 'a', 'oneparameter', 'class', 'of', 'solutions', 'of', 'the', 'painleve', 'vi', 'equation', 'with', 'gamma0', 'we', 'analyze', 'long', 'distance', 'behaviour', 'of', 'the', 'tau', 'function', 'as', 'well', 'as', 'the', 'asymptotics', 'of', 'the', 'corresponding', 'painleve', 'vi', 'transcendents', 'as', 'sto', '1', 'considering', 'the', 'limit', 'of', 'flat', 'space', 'we', 'also', 'obtain', 'a', 'class', 'of', 'solutions', 'of', 'the', 'painleve', 'v', 'equation', 'with', 'beta0']] | [-0.13865103332877712, 0.04472375310002395, -0.057641691185051094, 0.08815381732010455, -0.08585759149691849, -0.13975659239071386, -0.009427661404737995, 0.2998375375099756, -0.2835905556476468, -0.2166767725902092, 0.06549422992997009, -0.3086087788248228, -0.1607808535159738, 0.16840664242152814, 0.0005050972897421431, 0.07920424305937357, 0.022157251120855412, 0.05308899688361971, -0.16145644108937293, -0.17663132388972574, 0.38361679373860913, -0.05546486668840603, 0.17970641058421247, 0.00301850073867374, 0.09575847666710616, -0.01257311368568076, 0.028096273431071527, -0.0606115646041602, -0.1767802701021234, 0.06936664399863393, 0.20732927663872638, 0.04409976560553467, 0.18779389612135236, -0.3506955778571191, -0.1551112658102755, 0.14255049988558446, 0.1687562391265399, 0.04467858139046088, -0.00559053799930822, -0.2988917145084728, 0.03881334625184536, -0.15929872565040434, -0.2502244462500568, -0.047611883689683894, 0.08831019391374731, 0.05760190042632597, -0.280655841625951, 0.08244275345221265, 0.042290505310693, 0.043525607702839704, -0.08880820220025877, -0.10334581365394924, -0.06892575114896451, 0.059688492378013, 0.07123140397792062, 0.013487310390229578, 0.04675318571842379, -0.1287280912786998, -0.06172841980156523, 0.36917547679644214, -0.12982090417192213, -0.24827132403022714, 0.09968194385507592, -0.1661537419952866, -0.129688479575432, 0.10036731774021906, 0.11520218019960103, 0.16988907974834244, -0.12923430016747228, 0.2068864516698307, -0.052253142247597376, 0.08522282796653194, 0.08023397017063366, 0.02920258813020256, 0.15585234341453072, 0.07432488430015467, 0.09079630937151335, 0.13830060411106657, -0.062450503123303254, -0.08561152332393383, -0.41149317911239686, -0.2227980364596954, -0.16958856972934747, 0.1242716066573781, -0.14236456487927138, -0.2578671522093592, 0.4532780410066523, 0.053701099856860106, 0.20862945385829165, 0.1020684760891729, 0.14284850385867887, 0.23721607323408264, 0.027261519180265842, 0.06169383005256316, 0.18723291095898106, 0.1837503363257619, 0.10015494924176623, -0.2501377357032012, -0.035384278244304436, 0.22258236368911133] |
710.5745 | Random Walk on a Surface Group: Boundary Behavior of the Green's
Function at the Spectral Radius | It is proved that the Green's function of the simple random walk on a surface
group of large genus decays exponentially at the spectral radius. It is also
shown that Ancona's inequalities extend to the spectral radius R, and therefore
that the Martin boundary for R-potentials coincides with the natural geometric
boundary S^1. This implies that the Green's function obeys a power law with
exponent 1/2 at the spectral radius.
| math.PR math.GR | it is proved that the greens function of the simple random walk on a surface group of large genus decays exponentially at the spectral radius it is also shown that anconas inequalities extend to the spectral radius r and therefore that the martin boundary for rpotentials coincides with the natural geometric boundary s1 this implies that the greens function obeys a power law with exponent 12 at the spectral radius | [['it', 'is', 'proved', 'that', 'the', 'greens', 'function', 'of', 'the', 'simple', 'random', 'walk', 'on', 'a', 'surface', 'group', 'of', 'large', 'genus', 'decays', 'exponentially', 'at', 'the', 'spectral', 'radius', 'it', 'is', 'also', 'shown', 'that', 'anconas', 'inequalities', 'extend', 'to', 'the', 'spectral', 'radius', 'r', 'and', 'therefore', 'that', 'the', 'martin', 'boundary', 'for', 'rpotentials', 'coincides', 'with', 'the', 'natural', 'geometric', 'boundary', 's1', 'this', 'implies', 'that', 'the', 'greens', 'function', 'obeys', 'a', 'power', 'law', 'with', 'exponent', '12', 'at', 'the', 'spectral', 'radius']] | [-0.10643233225066755, 0.12935488005641146, -0.16831313687768104, 0.06762006688032947, -0.06223630680166104, -0.15205654006559347, 4.384104682105607e-05, 0.33613501041047816, -0.24578759004024492, -0.2109429667825284, 0.09692754769913745, -0.28873038251438865, -0.12633651567865972, 0.20362112970779772, -0.07201526251257113, 0.05245435907356981, 0.029594795127142814, 0.07649941453575224, -0.08061439163334992, -0.1963481601037463, 0.3176897870970593, 0.03533116255657397, 0.22645758657945672, 0.12405786211298697, 0.0490452705922982, 0.007096778601408005, 0.018310719831050305, 0.03094020979883878, -0.20288205728739622, 0.07263901100183527, 0.15008830242668805, 0.0617265993580762, 0.2421765029700338, -0.30940776592309494, -0.22939857326285995, 0.09876944014694596, 0.11621117852358283, -0.022091004950250837, 0.01749283301245853, -0.22572468191493247, 0.1205471554717076, -0.12859135060368673, -0.24230571783593166, 0.018989698556454285, 0.11478813259821871, -0.0005642401891342108, -0.2896950856067132, 0.11208206823093993, 0.06093152403237595, 0.017675094421197107, -0.011121969670057297, -0.11605090905736754, -0.041022885395078985, 0.05969661154338847, 0.04125387813437028, 0.08182339820389946, 0.11823772178773863, -0.07297678088323901, -0.017717818864553734, 0.30270325586847635, -0.06733661556643421, -0.17682705687331982, 0.1620641508396121, -0.21612190492991087, -0.1300294928630625, 0.14329807982658563, 0.06018998272770989, 0.12979726058962854, -0.10604012874967378, 0.1731864433538209, -0.07861739832847177, 0.1980473645625339, 0.09379187434155872, 0.014393229307471842, 0.15806422161910197, 0.06427786003906226, 0.15466212409723928, 0.1394791499428127, -0.06614548836807733, -0.059279264639253204, -0.34812069229403697, -0.1502584566200233, -0.2955204762680375, 0.10719690374368666, -0.18313990477991351, -0.20418492855927636, 0.37765951195488806, 0.07427247546856171, 0.21247526873881672, 0.17730480577945168, 0.22767932167735652, 0.19600814313668272, 0.09126274042047453, 0.1371243756156469, 0.1704657895733481, 0.18930844601540678, 0.081506188209776, -0.24648549222805793, -0.009167458268179409, 0.14410423409139764] |
710.5746 | Dynamics, Symmetries and Hadron Properties | We provide a snapshot of Dyson-Schwinger equation applications to the theory
and phenomenology of hadrons. Exact results for pseudoscalar mesons are
highlighted, with details relating to the U_A(1) problem. Calculated masses of
the lightest J=0,1 states are discussed. We recapitulate upon studies of
nucleon properties and give a perspective on the contribution of quark orbital
angular momentum to the spin of a nucleon at rest.
| nucl-th hep-lat hep-ph nucl-ex | we provide a snapshot of dysonschwinger equation applications to the theory and phenomenology of hadrons exact results for pseudoscalar mesons are highlighted with details relating to the u_a1 problem calculated masses of the lightest j01 states are discussed we recapitulate upon studies of nucleon properties and give a perspective on the contribution of quark orbital angular momentum to the spin of a nucleon at rest | [['we', 'provide', 'a', 'snapshot', 'of', 'dysonschwinger', 'equation', 'applications', 'to', 'the', 'theory', 'and', 'phenomenology', 'of', 'hadrons', 'exact', 'results', 'for', 'pseudoscalar', 'mesons', 'are', 'highlighted', 'with', 'details', 'relating', 'to', 'the', 'u_a1', 'problem', 'calculated', 'masses', 'of', 'the', 'lightest', 'j01', 'states', 'are', 'discussed', 'we', 'recapitulate', 'upon', 'studies', 'of', 'nucleon', 'properties', 'and', 'give', 'a', 'perspective', 'on', 'the', 'contribution', 'of', 'quark', 'orbital', 'angular', 'momentum', 'to', 'the', 'spin', 'of', 'a', 'nucleon', 'at', 'rest']] | [-0.10655070777194431, 0.22854984159796285, -0.11723017489824157, 0.13665872050019412, -0.10318186605492463, -0.05133420658351567, 0.0504008425372796, 0.3290393528635972, -0.16278826081408904, -0.24241155644592186, -0.02421672912672735, -0.33224899996645174, -0.028679695926033533, 0.11196059289459999, 0.0617621048568533, 0.05489033094356553, 0.07130679207889792, 0.04127781851655947, -0.12326325754133555, -0.2039193201523561, 0.35187934974495033, 0.007311596578130355, 0.16342461900069163, 0.19484987368520637, 0.0963814543130306, 0.025604354941214505, -0.03337396890498125, -0.07323772526131227, -0.18032431786235134, 0.09693068018845784, 0.22572788491110818, 0.07053533604798409, 0.1334435652081783, -0.3904190279256839, -0.13697036873692503, 0.029163768873191796, 0.13581165556724256, 0.16964546717130222, -0.06169512787153228, -0.29930913637463863, 0.08061597096518829, -0.18972474962759475, -0.2233116716862871, -0.14782792096420264, 0.0001114256178530363, -0.025356511797270706, -0.24900121717498852, 0.1097404806373211, -0.03280768941801328, 0.021395775790397937, -0.11410121383646933, -0.2844488339068798, -0.05563240748328658, 0.056728092822819376, 0.15934489058473936, 0.04581109539677317, 0.1537947694412791, -0.19414914979671055, -0.13827682896875418, 0.4248260714256993, 0.0018650961609987112, -0.21721665016733682, 0.10409204381732987, -0.14266362264752389, -0.1577464965530313, 0.08781402712114729, 0.1954935809669013, 0.08832829041549793, -0.17884376668013058, 0.07863944636908575, -0.07349460971040221, 0.1591119467316625, 0.06283064677308385, 0.16020216430322481, 0.23450941252880372, 0.1781103832503924, -0.045193007488090256, 0.08341286029451742, -0.025290006861233942, -0.137295406884872, -0.33291078261457957, -0.10516799352167604, -0.15023663269642454, 0.06572250140329393, -0.05849817417373952, -0.0747428025271242, 0.4604464899175442, 0.11201019004130593, 0.23764206272764848, 0.009585198057958712, 0.2838937471692379, 0.09909464433126582, 0.016511826725819936, 0.04532409154523451, 0.2727765083456269, 0.2718062583786937, 0.16656496500453125, -0.31522713742003994, -0.05915333385077807, 0.12393780341730094] |
710.5747 | Field-induced local moments around nonmagnetic impurities in metallic
cuprates | We consider a defect in a strongly correlated host metal and discuss, within
a slave boson mean field formalism for the $t-t'-J$ model, the formation of an
induced paramagnetic moment which is extended over nearby sites. We study in
particular an impurity in a metallic band, suitable for modelling the optimally
doped cuprates, in a regime where the impurity moment is paramagnetic. The form
of the local susceptibility as a function of temperature and doping is found to
agree well with recent NMR experiments, without including screening processes
leading to the Kondo effect.
| cond-mat.supr-con cond-mat.str-el | we consider a defect in a strongly correlated host metal and discuss within a slave boson mean field formalism for the ttj model the formation of an induced paramagnetic moment which is extended over nearby sites we study in particular an impurity in a metallic band suitable for modelling the optimally doped cuprates in a regime where the impurity moment is paramagnetic the form of the local susceptibility as a function of temperature and doping is found to agree well with recent nmr experiments without including screening processes leading to the kondo effect | [['we', 'consider', 'a', 'defect', 'in', 'a', 'strongly', 'correlated', 'host', 'metal', 'and', 'discuss', 'within', 'a', 'slave', 'boson', 'mean', 'field', 'formalism', 'for', 'the', 'ttj', 'model', 'the', 'formation', 'of', 'an', 'induced', 'paramagnetic', 'moment', 'which', 'is', 'extended', 'over', 'nearby', 'sites', 'we', 'study', 'in', 'particular', 'an', 'impurity', 'in', 'a', 'metallic', 'band', 'suitable', 'for', 'modelling', 'the', 'optimally', 'doped', 'cuprates', 'in', 'a', 'regime', 'where', 'the', 'impurity', 'moment', 'is', 'paramagnetic', 'the', 'form', 'of', 'the', 'local', 'susceptibility', 'as', 'a', 'function', 'of', 'temperature', 'and', 'doping', 'is', 'found', 'to', 'agree', 'well', 'with', 'recent', 'nmr', 'experiments', 'without', 'including', 'screening', 'processes', 'leading', 'to', 'the', 'kondo', 'effect']] | [-0.10772155360969644, 0.17238873937098378, -0.019863337598821168, 0.07578615764511488, -0.0022913882714165473, -0.14282587706361727, 0.09021018836922663, 0.3751189302858366, -0.22637490131041055, -0.2429067351284527, 0.015740691118382957, -0.3319469755815883, -0.10214701100623094, 0.14760358895735956, 0.03837974426356615, -0.03597420587988948, -0.056068880180577915, 0.03672597517249405, -0.12782092662828584, -0.21335640813659637, 0.28792943896585577, 0.03408567535300409, 0.27592534761154847, 0.1023067563499314, 0.013813884247855474, 0.07342810232332476, 0.11347007052472202, 0.06666440106377566, -0.12277602898057109, 0.029866254634207605, 0.25503031973556806, -0.07786947733131788, 0.22651720079042578, -0.40728342491051844, -0.2222082516559029, 0.02127501823168288, 0.13970666726229972, 0.16767594045383596, -0.11492225059348168, -0.28407692958310404, 0.013879536373180247, -0.1625183009872994, -0.14380761940953551, -0.06595742362751676, -0.02462780643229483, 0.0063226190520831015, -0.3293379312281006, 0.1291787319501201, 0.035576172504744305, 0.08061515894388, -0.10476102156474465, -0.09948156416536338, -0.01722086740467417, 0.045518867601390164, 0.0447717783521981, 0.08618141791623046, 0.1745453971927555, -0.13009664159949108, -0.1001393149897296, 0.37070880534868406, -0.09000036143948154, -0.08539744398696848, 0.16602572218404824, -0.21225222339352934, -0.09812361954320822, 0.12559698221664276, 0.13573033361625608, 0.12840021306446062, -0.18229595009958552, 0.12141356157184008, -0.037987659945683455, 0.17820393403251006, -0.03894328951875689, 0.06292021153394574, 0.26970261924709843, 0.22824021907002534, 0.04469715242564518, 0.1483210355433966, -0.13662335331181205, -0.09827883985214016, -0.22204357852298084, -0.17520970638728886, -0.20000919916977486, 0.050680124691577365, -0.04982049753031974, -0.21965243990823466, 0.39976250666934715, 0.1466851999822964, 0.2240585901183627, -0.06423734970796373, 0.21582424384792165, 0.14060930814468853, 0.06367919203995537, 0.032162807966953005, 0.20953813662391998, 0.18692863339267832, 0.06497311773734989, -0.315152520088539, 0.05544485243523033, 0.022962020971732194] |
710.5748 | Quantum phase transitions in photonic cavities with two-level systems | Systems of coupled photonic cavities have been predicted to exhibit quantum
phase transitions by analogy with the Hubbard model. To this end, we have
studied topologies of few (up to six) photonic cavities each containing a
single two-level system. Quantum phase space diagrams are produced for these
systems, and compared to mean-field results. We also consider finite effective
temperature, and compare this to the notion of disorder. We find the extent of
the Mott lobes shrink analogously to the conventional Bose-Hubbard model.
| cond-mat.other | systems of coupled photonic cavities have been predicted to exhibit quantum phase transitions by analogy with the hubbard model to this end we have studied topologies of few up to six photonic cavities each containing a single twolevel system quantum phase space diagrams are produced for these systems and compared to meanfield results we also consider finite effective temperature and compare this to the notion of disorder we find the extent of the mott lobes shrink analogously to the conventional bosehubbard model | [['systems', 'of', 'coupled', 'photonic', 'cavities', 'have', 'been', 'predicted', 'to', 'exhibit', 'quantum', 'phase', 'transitions', 'by', 'analogy', 'with', 'the', 'hubbard', 'model', 'to', 'this', 'end', 'we', 'have', 'studied', 'topologies', 'of', 'few', 'up', 'to', 'six', 'photonic', 'cavities', 'each', 'containing', 'a', 'single', 'twolevel', 'system', 'quantum', 'phase', 'space', 'diagrams', 'are', 'produced', 'for', 'these', 'systems', 'and', 'compared', 'to', 'meanfield', 'results', 'we', 'also', 'consider', 'finite', 'effective', 'temperature', 'and', 'compare', 'this', 'to', 'the', 'notion', 'of', 'disorder', 'we', 'find', 'the', 'extent', 'of', 'the', 'mott', 'lobes', 'shrink', 'analogously', 'to', 'the', 'conventional', 'bosehubbard', 'model']] | [-0.13431128130362527, 0.19583169445281895, -0.033715686263948136, 0.04279948893377966, 0.006128771693400312, -0.20380195457681377, 0.06473734735783826, 0.44298207672403717, -0.23646572517321968, -0.2754908634758577, 0.03371942915567538, -0.3285377423460709, -0.12984317846073792, 0.15354434183298996, 0.012093836890260985, 0.06152153197993956, -0.008012391115743213, 0.0006813919711176579, -0.12238510727609803, -0.24075926757678845, 0.31894859670456954, -0.002354572468193066, 0.2662206537703552, 0.011444480323073705, 0.032869685248176496, -0.05859386656580993, 0.07249808750433348, 0.04135781617958678, -0.14602709848933468, 0.07235816214233637, 0.21620173643275006, -0.03204902538904784, 0.2228634219798373, -0.43422382533913706, -0.2548595293107011, 0.09924511230414415, 0.17504761808142974, 0.17340084066523648, -0.014770874561935028, -0.3053769859848771, 0.04079529040254562, -0.2571809451158227, -0.15356282844128677, -0.09184421599479164, -0.048545912453314154, 0.007976674991546244, -0.19576289516691936, 0.031148093122926473, 0.015077101469880911, 0.05925704466133583, -0.036052898021142296, -0.04288305080262944, -0.003521208381621031, 0.09297494733955984, -0.0511077415956207, 0.014919971416863362, 0.11453297829096455, -0.10168574915676401, -0.16650948797284468, 0.38939828489248346, -0.03969953020341785, -0.1427845465723516, 0.2404596586598129, -0.158774279046622, -0.08052870207011881, 0.1353450374104219, 0.1769129092600651, 0.05627085104380257, -0.13833449449299312, 0.05627716664173754, -0.01593591450293344, 0.16728776482234867, 0.016541845517278445, 0.10165542564014109, 0.22184623234973447, 0.18776615898738183, -0.009208324848015497, 0.24007771987888235, -0.07748262430314065, -0.18068700991343797, -0.21343009296532084, -0.11334919553426118, -0.15330050786298405, 0.0008447143666605215, -0.05873739950482382, -0.20230181358482052, 0.39398275960304935, 0.1924519822478476, 0.19043085316484282, -0.0016720811893209452, 0.23202768791035364, 0.14488347193862244, 0.08404185850934194, 0.026160669615265073, 0.2868458600354554, 0.1625069630724128, 0.0701388394709949, -0.23010437440399717, -0.04070289086311965, 0.057331862166614796] |
710.5749 | On the Laplace transform of some quadratic forms and the exact
distribution of the sample variance from a gamma or uniform parent
distribution | From a suitable integral representation of the Laplace transform of a
positive semi-definite quadratic form of independent real random variables with
not necessarily identical densities a univariate integral representation is
derived for the cumulative distribution function of the sample variance of
i.i.d. random variables with a gamma density, supplementing former formulas of
the author. Furthermore, from the above Laplace transform Fourier series are
obtained for the density and the distribution function of the sample variance
of i.i.d. random variables with a uniform distribution. This distribution can
be applied e.g. to a statistical test for a scale parameter.
| math.ST stat.TH | from a suitable integral representation of the laplace transform of a positive semidefinite quadratic form of independent real random variables with not necessarily identical densities a univariate integral representation is derived for the cumulative distribution function of the sample variance of iid random variables with a gamma density supplementing former formulas of the author furthermore from the above laplace transform fourier series are obtained for the density and the distribution function of the sample variance of iid random variables with a uniform distribution this distribution can be applied eg to a statistical test for a scale parameter | [['from', 'a', 'suitable', 'integral', 'representation', 'of', 'the', 'laplace', 'transform', 'of', 'a', 'positive', 'semidefinite', 'quadratic', 'form', 'of', 'independent', 'real', 'random', 'variables', 'with', 'not', 'necessarily', 'identical', 'densities', 'a', 'univariate', 'integral', 'representation', 'is', 'derived', 'for', 'the', 'cumulative', 'distribution', 'function', 'of', 'the', 'sample', 'variance', 'of', 'iid', 'random', 'variables', 'with', 'a', 'gamma', 'density', 'supplementing', 'former', 'formulas', 'of', 'the', 'author', 'furthermore', 'from', 'the', 'above', 'laplace', 'transform', 'fourier', 'series', 'are', 'obtained', 'for', 'the', 'density', 'and', 'the', 'distribution', 'function', 'of', 'the', 'sample', 'variance', 'of', 'iid', 'random', 'variables', 'with', 'a', 'uniform', 'distribution', 'this', 'distribution', 'can', 'be', 'applied', 'eg', 'to', 'a', 'statistical', 'test', 'for', 'a', 'scale', 'parameter']] | [-0.0726481655939031, 0.11463366656266537, -0.1776030540619929, 0.07984697955094047, -0.07675142439331897, -0.08030794062363655, 0.06483875826414022, 0.3369465588793619, -0.29163535089068804, -0.2588093866589335, 0.11167881877843253, -0.26148452613617956, -0.09875759975168585, 0.18086431148586815, -0.03249276812910222, 0.10603162697180338, 0.0012734140768724004, 0.059138744493427965, -0.10505524724625896, -0.25113527081215503, 0.3083069796107479, 0.0062942370273096045, 0.2662224365091047, -0.11331107625833799, 0.11751577784259294, 0.07515410488452186, -0.08288588272119612, 0.006485674943122053, -0.06657527710224703, 0.11379706843266475, 0.20456056961232855, 0.10802201190103775, 0.2784413609500091, -0.35143896800957347, -0.2032905617421589, 0.15992663020133666, 0.12409218686639413, -0.0022455020399629764, -0.03090378353444226, -0.27613045225284766, 0.0439195559064848, -0.1324331189035294, -0.14065878564184628, -0.049948469639669375, 0.027517841269559775, 0.12420781152130864, -0.4005705644952652, 0.12978318065030442, 0.04735257941749446, 0.06503496296012524, -0.06444292781471285, -0.21862004401603924, 0.03781063136039782, 0.08137041704786807, 0.04244238033305047, 0.03658240550730531, 0.1181668100648166, -0.10417552478851501, -0.0461773801590172, 0.3016424366829859, -0.08843608653249661, -0.27289305955709253, 0.09169661255370941, -0.21367535668127624, -0.14189325789584942, 0.1514801763036509, 0.17017892164360618, 0.11679817695583496, -0.1759894530759337, 0.12239365920018808, -0.06986728131761487, 0.13533554860803576, 0.04957817397416406, -0.012336086347391926, 0.1607090806895771, 0.0471099173630943, 0.08078241628383469, 0.1704872213244035, -0.09151185201192946, -0.10498462321198325, -0.3460054134700409, -0.16156196822748356, -0.33075605611288056, 0.086969490130774, -0.1870056829682597, -0.23256660329619633, 0.3807300355779871, 0.0729808347808562, 0.22964384433688576, 0.16810981461960708, 0.2526316221457781, 0.23293840174668842, 0.02855093793501866, 0.04722672553742593, 0.0617463435526438, 0.18658446618979893, 0.0405186095572624, -0.1434965714639456, 0.09911957163766948, 0.042153878190276245] |
710.575 | Supersymmetry without a light Higgs boson at the LHC | We analyze the LHC phenomenology of lambdaSUSY - a version of NMSSM with a
largish SH1H2 coupling. The scalar spectrum of the model contains a 200-300 GeV
Higgs boson h with Standard-Model like properties, and heavy CP-even and CP-odd
Higgs bosons H and A with masses in 500-800 GeV range. We study the discovery
potential of H and A in the decay chains H->hh->4V->2l6j and A->Zh->Z2V->2l4j.
The dominant backgrounds are the diffuse Z6j and Z4j productions, which can be
suppressed by demanding reconstruction of V's and h's in intermediate states.
The excess of signal events allows for a discovery of both H and A with over
5sigma significance for 100 inverse fb of integrated luminosity.
| hep-ph | we analyze the lhc phenomenology of lambdasusy a version of nmssm with a largish sh1h2 coupling the scalar spectrum of the model contains a 200300 gev higgs boson h with standardmodel like properties and heavy cpeven and cpodd higgs bosons h and a with masses in 500800 gev range we study the discovery potential of h and a in the decay chains hhh4v2l6j and azhz2v2l4j the dominant backgrounds are the diffuse z6j and z4j productions which can be suppressed by demanding reconstruction of vs and hs in intermediate states the excess of signal events allows for a discovery of both h and a with over 5sigma significance for 100 inverse fb of integrated luminosity | [['we', 'analyze', 'the', 'lhc', 'phenomenology', 'of', 'lambdasusy', 'a', 'version', 'of', 'nmssm', 'with', 'a', 'largish', 'sh1h2', 'coupling', 'the', 'scalar', 'spectrum', 'of', 'the', 'model', 'contains', 'a', '200300', 'gev', 'higgs', 'boson', 'h', 'with', 'standardmodel', 'like', 'properties', 'and', 'heavy', 'cpeven', 'and', 'cpodd', 'higgs', 'bosons', 'h', 'and', 'a', 'with', 'masses', 'in', '500800', 'gev', 'range', 'we', 'study', 'the', 'discovery', 'potential', 'of', 'h', 'and', 'a', 'in', 'the', 'decay', 'chains', 'hhh4v2l6j', 'and', 'azhz2v2l4j', 'the', 'dominant', 'backgrounds', 'are', 'the', 'diffuse', 'z6j', 'and', 'z4j', 'productions', 'which', 'can', 'be', 'suppressed', 'by', 'demanding', 'reconstruction', 'of', 'vs', 'and', 'hs', 'in', 'intermediate', 'states', 'the', 'excess', 'of', 'signal', 'events', 'allows', 'for', 'a', 'discovery', 'of', 'both', 'h', 'and', 'a', 'with', 'over', '5sigma', 'significance', 'for', '100', 'inverse', 'fb', 'of', 'integrated', 'luminosity']] | [-0.07887960381703366, 0.23943298681876238, -0.025959882923666765, 0.1453530200150445, -0.04524570883790014, -0.17535713188982474, 0.03853033320687779, 0.350003869990485, -0.19902335555044884, -0.3246940755276778, 0.05014372276411383, -0.31890505835333294, 0.029705775072883574, 0.1398351646408678, 0.08380062476766013, 0.041496276163385, 0.09508091615888914, 0.015233688210265352, -0.04998148939734615, -0.20785066781035805, 0.24649753380105446, 0.042812052076050176, 0.14362552927576278, 0.09609428785074878, 0.05108316646290221, 0.044764768887618815, -0.013593850281397138, -0.08092078723338082, -0.12345938640433031, 0.12559786467725376, 0.1752734273296157, 0.07880179821129102, 0.15627250996409753, -0.24650507552737216, -0.12978582584871612, 0.19793630770723755, 0.1599663663783683, 0.03445583252009825, -0.08191041671670973, -0.3452244873303886, 0.10843016119639672, -0.20905380357706219, -0.09278880190018804, 0.0030498442030725405, 0.010000084757531455, -0.10327870829603336, -0.343478965508931, 0.14033906783378863, -0.049915901487778636, 0.05599815119912318, -0.02474026138084693, -0.13753307895487124, -0.08126844775888624, -0.062163324842930114, 0.11147222031279544, 0.018768645630756375, 0.16619722479783477, -0.2287449797403405, -0.1582641557581005, 0.4062227780905065, -0.1722069994691725, -0.1003360128876061, 0.1968667002420428, -0.1777322501832739, -0.1306767855394939, 0.1676799903042751, 0.22140431672403024, 0.055778860834367366, -0.1652247327371338, 0.20711790045313194, 0.006608244843370871, 0.1605279410702236, 0.02917953264480884, 0.08761202592996521, 0.24703773510121152, 0.19303045508990047, 0.03156514969919253, 0.1013526235805363, -0.1531190869543667, -0.027212534001558472, -0.41063547475314743, -0.1792589485423144, -0.034534270223657335, 0.05339135371422002, -0.06792608772216518, -0.08810720861880877, 0.4374611552958505, 0.10818067336574606, 0.29513082420880643, 0.01402211183609458, 0.22241219028044457, 0.1046456249618749, 0.08681070002398257, 0.05148950329375103, 0.31140941937257527, 0.17338734433597483, 0.10930103700449946, -0.16735537333089276, -0.03128554170028469, 0.010545756992533666] |
710.5751 | A Vanishing Result for Toric Varieties Associated with Root Systems | Consider a root system $R$ and the corresponding toric variety $V_R$ whose
fan is the Weyl fan and whose lattice of characters is given by the root
lattice for $R$. We prove the vanishing of the higher cohomology groups for
certain line bundles on $V_R$ by proving a purely combinatorial result for root
systems. These results are related to a converse to Mazur's Inequality for
(simply-connected) split reductive groups.
| math.RT math.AG | consider a root system r and the corresponding toric variety v_r whose fan is the weyl fan and whose lattice of characters is given by the root lattice for r we prove the vanishing of the higher cohomology groups for certain line bundles on v_r by proving a purely combinatorial result for root systems these results are related to a converse to mazurs inequality for simplyconnected split reductive groups | [['consider', 'a', 'root', 'system', 'r', 'and', 'the', 'corresponding', 'toric', 'variety', 'v_r', 'whose', 'fan', 'is', 'the', 'weyl', 'fan', 'and', 'whose', 'lattice', 'of', 'characters', 'is', 'given', 'by', 'the', 'root', 'lattice', 'for', 'r', 'we', 'prove', 'the', 'vanishing', 'of', 'the', 'higher', 'cohomology', 'groups', 'for', 'certain', 'line', 'bundles', 'on', 'v_r', 'by', 'proving', 'a', 'purely', 'combinatorial', 'result', 'for', 'root', 'systems', 'these', 'results', 'are', 'related', 'to', 'a', 'converse', 'to', 'mazurs', 'inequality', 'for', 'simplyconnected', 'split', 'reductive', 'groups']] | [-0.23572684446538705, 0.07957213108602446, -0.05599794547626938, 0.04262005021134256, -0.12176338866002102, -0.1988778496633513, 0.0029488460774924874, 0.3006479177839946, -0.3423482271694187, -0.19162743244374145, 0.14869101934026982, -0.22021060404570206, -0.12087904734105087, 0.2263771390569383, -0.11726995148574529, -0.035674051003719585, 0.03872768723311416, 0.11438230847251481, -0.05428388086980651, -0.31786104514722485, 0.41944952773443167, -0.04153292683506574, 0.24437550802215718, 0.07640572530689879, 0.08638734623546833, 0.029991993447765708, -0.003126545282809631, 0.020186059224162844, -0.15826546620793533, 0.1514946422269703, 0.2784262062522812, 0.04023135198698635, 0.18224736326036678, -0.30495145914239297, -0.11749734092449797, 0.16181611366219062, 0.1322865043496848, 0.03859495196113552, 0.0059621596752760415, -0.2828088545280954, 0.16402063495479524, -0.1483612697220583, -0.19345186209387105, -0.03073279824161875, 0.05157157174055127, 0.04274436228139245, -0.23324863014715738, 0.03936405087132817, 0.10842208517715335, 0.17973838418560184, -0.044844459614082094, -0.1447893187346315, -0.06331388581463177, 0.04388634086438063, -0.04222752054329908, 0.04225755918204137, 0.0870778446652643, -0.11003885350014636, -0.13732902932426203, 0.4347887415222932, -0.007775964461725907, -0.22650425930412998, 0.13551282759863828, -0.16353420832572316, -0.12528150135219313, 0.12458752730078455, 0.11258915674103342, 0.1115797815601463, -0.005716540877693805, 0.1275388563298148, -0.1547180142496591, 0.02560976364116684, 0.06089676118226371, -0.06073939962906466, 0.1607575906454113, 0.008415851154891045, 0.11177994466751166, 0.12360186231376576, 0.017120497378831107, -0.04380572909165336, -0.36293932817120483, -0.19570349433553824, -0.16475290282750907, 0.16776364626011986, -0.14014210842467129, -0.18584389985620003, 0.410269090446873, 0.01911093957344259, 0.19887399828682342, 0.15110054805510395, 0.1793725826656041, 0.08143061527685411, 0.07613127578751765, 0.05299775058106668, 0.11490279248497193, 0.26514353447229316, -0.02067870713527436, -0.15748308779860754, -0.03774873191571754, 0.2471632991337042] |
710.5752 | Some classifications of \infty-Harmonic maps between Riemannian
manifolds | $\infty$-Harmonic maps are a generalization of $\infty$-harmonic functions.
They can be viewed as the limiting cases of p-harmonic maps as p goes to
infinity. In this paper, we give complete classifications of linear and
quadratic $\infty$-harmonic maps from and into a sphere, quadratic
$\infty$-harmonic maps between Euclidean spaces. We describe all linear and
quadratic $\infty$-harmonic maps between Nil and Euclidean spaces, between Sol
and Euclidean spaces. We also study holomorphic $\infty$-harmonic maps between
complex Euclidean spaces.
| math.DG math.AP | inftyharmonic maps are a generalization of inftyharmonic functions they can be viewed as the limiting cases of pharmonic maps as p goes to infinity in this paper we give complete classifications of linear and quadratic inftyharmonic maps from and into a sphere quadratic inftyharmonic maps between euclidean spaces we describe all linear and quadratic inftyharmonic maps between nil and euclidean spaces between sol and euclidean spaces we also study holomorphic inftyharmonic maps between complex euclidean spaces | [['inftyharmonic', 'maps', 'are', 'a', 'generalization', 'of', 'inftyharmonic', 'functions', 'they', 'can', 'be', 'viewed', 'as', 'the', 'limiting', 'cases', 'of', 'pharmonic', 'maps', 'as', 'p', 'goes', 'to', 'infinity', 'in', 'this', 'paper', 'we', 'give', 'complete', 'classifications', 'of', 'linear', 'and', 'quadratic', 'inftyharmonic', 'maps', 'from', 'and', 'into', 'a', 'sphere', 'quadratic', 'inftyharmonic', 'maps', 'between', 'euclidean', 'spaces', 'we', 'describe', 'all', 'linear', 'and', 'quadratic', 'inftyharmonic', 'maps', 'between', 'nil', 'and', 'euclidean', 'spaces', 'between', 'sol', 'and', 'euclidean', 'spaces', 'we', 'also', 'study', 'holomorphic', 'inftyharmonic', 'maps', 'between', 'complex', 'euclidean', 'spaces']] | [-0.10033564674085937, 0.04060396070494071, -0.07466807831568938, 0.1592499027809888, -0.053217925664380585, -0.13620714846949436, -0.023548282375007768, 0.4098784565484445, -0.3499974104833152, -0.16436043724809823, 0.10914427190130625, -0.3230119692161679, -0.2447907785076256, 0.21888508750615934, -0.1328412517537608, 0.041716873094341474, -0.009804028509135702, -0.023672551235282106, -0.19131405086189165, -0.2748471148967694, 0.42149226616234764, -0.04792956378016817, 0.1441621999072499, 0.017895742172473354, 0.15007732228734408, 0.04217610022322716, -0.049502470401899985, 0.06300668390086255, -0.20795574474246487, 0.12373976815050762, 0.32284457699738833, 0.10019071824162414, 0.181499448065695, -0.3479234134092143, -0.16835988064811222, 0.2765712456434573, 0.13208887424614085, -0.014224509291939046, 0.051407023100182414, -0.28037217326805386, 0.012791745718507292, -0.044394808165778066, -0.09222338696647632, -0.13267551309821246, 0.0324532633561543, 0.04152143623765656, -0.23204789293537798, 0.024722319019354854, 0.15687453950216113, 0.1275947216025471, -0.13848161364378603, -0.0640048548628233, -0.11523499286819347, 0.1601933777994035, -0.025503302875318025, 0.12777322255332316, 0.08058679079955541, 0.007772426136254676, -0.10215299512798849, 0.3607318231125215, -0.102211862777997, -0.3232641798002939, 0.19690986588523773, -0.18911206844801964, -0.12385376566702402, 0.06581371669706546, 0.23007007938270507, 0.10929098718579074, -0.049218210526496955, 0.23385292505707567, -0.10688321202944376, 0.054319149207961014, 0.15649435350879734, 0.0033135976470810803, 0.1462259614153912, -0.0009111547352452027, 0.16469162312109561, 0.25140675734330314, -7.213049225117032e-05, -0.05575267336711189, -0.3667558310063262, -0.18446330501281313, -0.10663971389907315, 0.09036776005737729, -0.16975887292152803, -0.1963324255408033, 0.33235227556801156, -0.0316789153240327, 0.26221948033688885, 0.18098207976129888, 0.2026384982072111, 0.06892200443881417, 0.04553916552839311, 0.08033719361073484, 0.15059026635840142, 0.1902898240858983, 0.02297036115717339, -0.06564162501078834, -0.12478157474144705, 0.1979608434852899] |
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