Physical Review D最新文献

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Global shift symmetry on an ADM hypersurface: Toward emergent gravity ADM 超表面上的全局位移对称性:迈向新兴引力
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-11-04 DOI: 10.1103/physrevd.110.106002
Ki-Seok Kim, Arpita Mitra, Debangshu Mukherjee, Mitsuhiro Nishida
{"title":"Global shift symmetry on an ADM hypersurface: Toward emergent gravity","authors":"Ki-Seok Kim, Arpita Mitra, Debangshu Mukherjee, Mitsuhiro Nishida","doi":"10.1103/physrevd.110.106002","DOIUrl":"https://doi.org/10.1103/physrevd.110.106002","url":null,"abstract":"Generalized symmetries and their spontaneous breakdown serve as the fundamental concept to constrain the many-body entanglement structure, which allows us to characterize quantum phases of matter and emergent collective excitations. For example, emergent photons may be understood by spontaneous 1-form symmetry breaking, which results from a long-ranged entanglement structure between UV microscopic degrees of freedom. In this study, we show that emergent “gravity” may also arise in a similar fashion, where quotes have been used to emphasize that the symmetry-constrained gravitons show unconventional properties compared to usual gravitons. As the electric 1-form symmetry in Maxwell theory is realized as a global shift symmetry of the spatial component of the <mjx-container ctxtmenu_counter=\"1\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(6 0 5 (4 1 2 3))\"><mjx-mrow data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"0,4\" data-semantic-content=\"5,0\" data-semantic- data-semantic-owns=\"0 5 4\" data-semantic-role=\"simple function\" data-semantic-speech=\"normal upper U left parenthesis 1 right parenthesis\" data-semantic-type=\"appl\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"6\" data-semantic-role=\"simple function\" data-semantic-type=\"identifier\"><mjx-c>U</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"6\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"2\" data-semantic-content=\"1,3\" data-semantic- data-semantic-owns=\"1 2 3\" data-semantic-parent=\"6\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>(</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>1</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"4\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>)</mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-math></mjx-container> gauge field, generated by the electric field, we demonstrate that a constant shift of the Arnowitt-Deser-Misner (ADM) metric on the spatial hypersurface can be viewed as a global symmetry, generated by the ADM canonical momentum. Deriving a vector-type conserved charge from the variation of action, we construct a shift symmetry operator. Considering a Wick rotation, we demonstrate that a gravitational Wilson loop is charged unde","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"36 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142580046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Superradiant instability of magnetic black holes 磁性黑洞的超辐射不稳定性
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-11-04 DOI: 10.1103/physrevd.110.104001
David Pereñiguez, Marina de Amicis, Richard Brito, Rodrigo Panosso Macedo
{"title":"Superradiant instability of magnetic black holes","authors":"David Pereñiguez, Marina de Amicis, Richard Brito, Rodrigo Panosso Macedo","doi":"10.1103/physrevd.110.104001","DOIUrl":"https://doi.org/10.1103/physrevd.110.104001","url":null,"abstract":"Black hole superradiance has proven to be very valuable in several realms of gravitational physics and holds a promising discovery potential. In this paper, we consider the superradiant instability of magnetically charged, rotating black holes and find a number of important differences with respect to neutral ones. Considering massive charged bosonic fields, we find that the instability timescale is much shorter, and this is true even if the black hole contains an order-one number of magnetic monopoles, or merely a single one, and possesses either low, moderate, or large values of angular momentum. In particular, the instability is drastically faster than the radiative-decay time of charged pions, potentially making it physically relevant. Furthermore, our analysis identifies the most unstable modes as a class of monopole spheroidal harmonics, which we dub north and south monopole modes, whose morphology is markedly different from the ones in standard superradiance since they extend along the rotational axis. For completeness, we also study the quasinormal mode spectrum and amplification factors of charged massless fields, finding no evidence of instabilities in that case.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"62 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142580047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigating tidal heating in neutron stars via gravitational Raman scattering 通过引力拉曼散射研究中子星的潮汐加热
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-11-04 DOI: 10.1103/physrevd.110.103001
M. V. S. Saketh, Zihan Zhou, Suprovo Ghosh, Jan Steinhoff, Debarati Chatterjee
{"title":"Investigating tidal heating in neutron stars via gravitational Raman scattering","authors":"M. V. S. Saketh, Zihan Zhou, Suprovo Ghosh, Jan Steinhoff, Debarati Chatterjee","doi":"10.1103/physrevd.110.103001","DOIUrl":"https://doi.org/10.1103/physrevd.110.103001","url":null,"abstract":"We present a scattering amplitude formalism to study the tidal heating effects of nonspinning neutron stars incorporating both worldline effective field theory and relativistic stellar perturbation theory. In neutron stars, tidal heating arises from fluid viscosity due to various scattering processes in the interior. It also serves as a channel for the exchange of energy and angular momentum between the neutron star and its environment. In the interior of the neutron star, we first derive two master perturbation equations that capture fluid perturbations accurate to linear order in frequency. Remarkably, these equations receive no contribution from bulk viscosity due to a peculiar adiabatic incompressibility which arises in stellar fluid for nonbarotropic perturbations. In the exterior, the metric perturbations reduce to the Regge-Wheeler equation which we solve using the analytical Mano-Suzuki-Takasugi method. We compute the amplitude for gravitational waves scattering off a neutron star, also known as gravitational Raman scattering. From the amplitude, we obtain expressions for the electric quadrupolar static Love number and the leading dissipation number to all orders in compactness. We then compute the leading dissipation number for various realistic equations of state and estimate the change in the number of gravitational-wave cycles due to tidal heating during inspiral in the LIGO-Virgo-KAGRA band.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"5 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142574695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bootstrapping gauge theories 引导规整理论
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-11-04 DOI: 10.1103/physrevd.110.096001
Yifei He, Martin Kruczenski
{"title":"Bootstrapping gauge theories","authors":"Yifei He, Martin Kruczenski","doi":"10.1103/physrevd.110.096001","DOIUrl":"https://doi.org/10.1103/physrevd.110.096001","url":null,"abstract":"We consider asymptotically free gauge theories with gauge group <mjx-container ctxtmenu_counter=\"55\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,9\" data-semantic-content=\"10\" data-semantic- data-semantic-owns=\"0 10 9\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper S upper U left parenthesis upper N Subscript c Baseline right parenthesis\" data-semantic-structure=\"(11 0 10 (9 1 8 (7 2 (5 3 4) 6)))\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"11\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑆</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"11\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"1,7\" data-semantic-content=\"8,1\" data-semantic- data-semantic-owns=\"1 8 7\" data-semantic-parent=\"11\" data-semantic-role=\"simple function\" data-semantic-type=\"appl\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"9\" data-semantic-role=\"simple function\" data-semantic-type=\"identifier\"><mjx-c>𝑈</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"9\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"5\" data-semantic-content=\"2,6\" data-semantic- data-semantic-owns=\"2 5 6\" data-semantic-parent=\"9\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"7\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>(</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-owns=\"3 4\" data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑁</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.069em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑐</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"7\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>)</mjx-c></mjx-mo></mjx-mrow></mjx-mrow></m","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"150 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142574697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Vacuum radiation pressure fluctuations on electrons 电子上的真空辐射压力波动
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-11-04 DOI: 10.1103/physrevd.110.096002
L. H. Ford
{"title":"Vacuum radiation pressure fluctuations on electrons","authors":"L. H. Ford","doi":"10.1103/physrevd.110.096002","DOIUrl":"https://doi.org/10.1103/physrevd.110.096002","url":null,"abstract":"This paper is a continuation of a study of the properties and applications of quantum stress tensor fluctuations. Here we treat the vacuum fluctuations of the electromagnetic energy-momentum flux operator which has been averaged in space and time. The probability distribution of these fluctuations depends upon the details of this averaging and may allow fluctuations very large compared to the variance. The possibility of detecting their effects on electrons will be considered. The averaging of the flux operator will arise from the interaction of an electron with a wave packet containing real photons. The vacuum radiation pressure fluctuations can exert a force on the electron in any direction, in contrast to the effect of scattering by real photons. Some numerical estimates of the effect will be given.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"138 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Erratum: Long-term gravitational wave asteroseismology of supernovae: From core collapse to 20 seconds postbounce [Phys. Rev. D107, 083015 (2023)] 勘误:超新星的长期引力波星震学:从核心坍缩到弹后20秒[物理评论 D107, 083015 (2023)]
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-11-04 DOI: 10.1103/physrevd.110.109901
Masamitsu Mori, Yudai Suwa, Tomoya Takiwaki
{"title":"Erratum: Long-term gravitational wave asteroseismology of supernovae: From core collapse to 20 seconds postbounce [Phys. Rev. D107, 083015 (2023)]","authors":"Masamitsu Mori, Yudai Suwa, Tomoya Takiwaki","doi":"10.1103/physrevd.110.109901","DOIUrl":"https://doi.org/10.1103/physrevd.110.109901","url":null,"abstract":"<span>DOI:</span><span>https://doi.org/10.1103/PhysRevD.110.109901</span>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"111 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142580287","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tetraquarks made of sufficiently unequal-mass heavy quarks are bound in QCD 由质量足够不等的重夸克组成的四夸克在 QCD 中被束缚住了
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-11-04 DOI: 10.1103/physrevd.110.094001
Benoît Assi, Michael L. Wagman
{"title":"Tetraquarks made of sufficiently unequal-mass heavy quarks are bound in QCD","authors":"Benoît Assi, Michael L. Wagman","doi":"10.1103/physrevd.110.094001","DOIUrl":"https://doi.org/10.1103/physrevd.110.094001","url":null,"abstract":"Tetraquarks, bound states composed of two quarks and two antiquarks, have been the subject of intense study but are challenging to understand from first principles. We apply variational and Green’s function Monte Carlo methods to compute tetraquark ground-state energies in potential nonrelativistic QCD using a wide range of color and spatial wave functions. We find no evidence for bound tetraquarks composed of equal-mass quarks and antiquarks. Conversely, we find clear evidence for the existence of bound tetraquarks for sufficiently unequal quark/antiquark mass ratios at all overall mass scales where our effective theory results are applicable. We predict the critical mass ratios for bound state formation and study tetraquark bound states’ spatial and color structure at leading order and next-to-leading order in potential nonrelativistic QCD.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"17 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142574699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Initial tensor construction and dependence of the tensor renormalization group on initial tensors 初始张量构造和张量重正化群对初始张量的依赖性
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-11-04 DOI: 10.1103/physrevd.110.094501
Katsumasa Nakayama, Manuel Schneider
{"title":"Initial tensor construction and dependence of the tensor renormalization group on initial tensors","authors":"Katsumasa Nakayama, Manuel Schneider","doi":"10.1103/physrevd.110.094501","DOIUrl":"https://doi.org/10.1103/physrevd.110.094501","url":null,"abstract":"We propose a method to construct a tensor network representation of partition functions without singular value decompositions nor series expansions. The approach is demonstrated for one- and two-dimensional Ising models and we study the dependence of the tensor renormalization group (TRG) on the form of the initial tensors and their symmetries. We further introduce variants of several tensor renormalization algorithms. Our benchmarks reveal a significant dependence of various TRG algorithms on the choice of initial tensors and their symmetries. However, we show that the boundary TRG technique can eliminate the initial tensor dependence for all TRG methods. The numerical results of TRG calculations can thus be made significantly more robust with only a few changes in the code. Furthermore, we study a three-dimensional <mjx-container ctxtmenu_counter=\"94\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"numbersetletter\" data-semantic-speech=\"double struck upper Z 2\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"double-struck\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"numbersetletter\" data-semantic-type=\"identifier\"><mjx-c>ℤ</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container> gauge theory without gauge fixing and confirm the applicability of the initial tensor construction. Our method can straightforwardly be applied to systems with longer range and multisite interactions, such as the next-nearest neighbor Ising model.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"32 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Commutator technique for the heat kernel of minimal higher derivative operators 最小高阶导数算子热核的换元技术
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-10-31 DOI: 10.1103/physrevd.110.085023
A. O. Barvinsky, A. V. Kurov, W. Wachowski
{"title":"Commutator technique for the heat kernel of minimal higher derivative operators","authors":"A. O. Barvinsky, A. V. Kurov, W. Wachowski","doi":"10.1103/physrevd.110.085023","DOIUrl":"https://doi.org/10.1103/physrevd.110.085023","url":null,"abstract":"We suggest a new technique of the asymptotic heat kernel expansion for minimal higher derivative operators of a generic &lt;mjx-container ctxtmenu_counter=\"11\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"0,1\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"0 2 1\" data-semantic-role=\"implicit\" data-semantic-speech=\"2 upper M\" data-semantic-structure=\"(3 0 2 1)\" data-semantic-type=\"infixop\"&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\"&gt;&lt;mjx-c&gt;2&lt;/mjx-c&gt;&lt;/mjx-mn&gt;&lt;mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"3\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"&gt;&lt;mjx-c&gt;⁢&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c&gt;𝑀&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;/mjx-math&gt;&lt;/mjx-container&gt;th order, &lt;mjx-container ctxtmenu_counter=\"12\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math breakable=\"true\" data-semantic-children=\"18,19\" data-semantic-content=\"4\" data-semantic- data-semantic-owns=\"18 4 19\" data-semantic-role=\"equality\" data-semantic-speech=\"upper F left parenthesis nabla right parenthesis equals left parenthesis minus white square right parenthesis Superscript upper M Baseline plus midline horizontal ellipsis\" data-semantic-structure=\"(20 (18 0 17 (13 1 2 3)) 4 (19 (10 (16 5 (15 6 7 14) 8) 9) 11 12))\" data-semantic-type=\"relseq\"&gt;&lt;mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"0,13\" data-semantic-content=\"17,0\" data-semantic- data-semantic-owns=\"0 17 13\" data-semantic-parent=\"20\" data-semantic-role=\"simple function\" data-semantic-type=\"appl\"&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"18\" data-semantic-role=\"simple function\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c&gt;𝐹&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"18\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"&gt;&lt;mjx-c&gt;⁡&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"2\" data-semantic-content=\"1,3\" data-semantic- data-semantic-owns=\"1 2 3\" data-semantic-parent=\"18\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"&gt;&lt;mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"13\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"&gt;&lt;mjx-c&gt;(&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mo data-semantic-font=\"normal\" data-semantic- ","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"67 1","pages":""},"PeriodicalIF":5.0,"publicationDate":"2024-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142561856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Form factor bootstrap in the thermally perturbed tricritical Ising model 热扰动三临界伊辛模型中的形式因子自举法
IF 5 2区 物理与天体物理
Physical Review D Pub Date : 2024-10-31 DOI: 10.1103/physrevd.110.085024
B. Fitos, G. Takács
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