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Favorable phase transitions induced by spinful electron–electron interactions in two-dimensional semimetal with a quadratic band crossing point 具有二次带交叉点的二维半金属中自旋电子-电子相互作用诱发的有利相变
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-24 DOI: 10.1016/j.aop.2024.169811
Yi-Sheng Fu , Jing Wang
{"title":"Favorable phase transitions induced by spinful electron–electron interactions in two-dimensional semimetal with a quadratic band crossing point","authors":"Yi-Sheng Fu , Jing Wang","doi":"10.1016/j.aop.2024.169811","DOIUrl":"10.1016/j.aop.2024.169811","url":null,"abstract":"<div><div>We study the effects of marginally spinful electron–electron interactions on the low-energy instabilities and favorable phase transitions in a two-dimensional (2D) spin-<span><math><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span> semimetal that owns a quadratic band crossing point (QBCP) parabolically touched by the upper and lower bands. In the framework of a renormalization group procedure, all sorts of interactions are treated on the equal footing to derive the coupled energy-dependent evolutions of all interaction couplings that govern the low-energy properties. Deciphering the essential physical information of such flows, we at first find that the tendencies of interaction parameters fall into three categories including Limit case, Special case, and General case based on the initial conditions. In addition, the 2D QBCP system is attracted to several distinct kinds of fixed points (FPs) in the interaction-parameter space, namely <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup></math></span>/<span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>−</mo></mrow></msubsup></math></span>, <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>/ <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>/<span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, and <span><math><mrow><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>±</mo></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>±</mo></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>41</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>43</mn></mrow><mrow><mo>±</mo></mrow></msubsup></mrow></math></span> with the subscripts characterizing the features of FPs for the Limit, Special, and General cases, respectively. Furthermore, as approaching these FPs, we demonstrate that the spinful fermion–fermion interactions can induce a number of favorable instabilities accompanied by certain phase transitions. Specifically, the quantum anomalous Hall (QAH), quantum spin Hall (QSH), and nematic (Nem.) site(bond) states are dominant for <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, and <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, respectively. Rather, QSH becomes anisotropic nearby <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>41</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>43</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span> with one component leading and the others subleading. Besides, Nem.site(bond), chi","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169811"},"PeriodicalIF":3.0,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142359238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Asymptotic safe nonassociative quantum gravity with star R-flux products, Goroff–Sagnotti counter-terms, and geometric flows 具有星形 R 流积、戈罗夫-萨格诺特反定理和几何流的渐近安全非关联量子引力
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-23 DOI: 10.1016/j.aop.2024.169812
Sergiu I. Vacaru
{"title":"Asymptotic safe nonassociative quantum gravity with star R-flux products, Goroff–Sagnotti counter-terms, and geometric flows","authors":"Sergiu I. Vacaru","doi":"10.1016/j.aop.2024.169812","DOIUrl":"10.1016/j.aop.2024.169812","url":null,"abstract":"<div><div>Nonassociative modifications of general relativity, GR, defined by star products with R-flux deformations in string gravity consist an important subclass of modified gravity theories, MGTs. A longstanding criticism for elaborating quantum gravity, QG, argue that the asymptotic safety does not survive once certain perturbative terms (in general, nonassociative and noncommutative) are included in the projection space. The goal of this work is to prove that a generalized asymptotic safety scenario allows us to formulate physically viable nonassociative QG theories using effective models defined by generic off-diagonal solutions and nonlinear symmetries in nonassociative geometric flow and gravity theories. We elaborate on a new nonholonomic functional renormalization techniques with parametric renormalization group, RG, flow equations for effective actions supplemented by certain canonical two-loop counter-terms. The geometric constructions and quantum deformations are performed for nonassociative phase spaces modelled as R-flux deformed cotangent Lorentz bundles. Our results prove that theories involving nonassociative modifications of GR can be well defined both as classical nonassociative MGTs and QG models. Such theories are characterized by generalized G. Perelman thermodynamic variables which are computed for certain examples of nonassociative geometric and RG flows.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169812"},"PeriodicalIF":3.0,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142319815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Lieb-Schultz-Mattis theorems for symmetry-protected topological phases 对称保护拓扑相的利布-舒尔茨-马蒂斯定理
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-23 DOI: 10.1016/j.aop.2024.169806
Yuan-Ming Lu
{"title":"Lieb-Schultz-Mattis theorems for symmetry-protected topological phases","authors":"Yuan-Ming Lu","doi":"10.1016/j.aop.2024.169806","DOIUrl":"10.1016/j.aop.2024.169806","url":null,"abstract":"<div><div>The Lieb-Schultz-Mattis (LSM) theorem and its generalizations are a class of powerful no-go theorems that rule out any short-range-entangled (SRE) symmetric ground state irrespective of the specific Hamiltonian, based only on certain microscopic inputs, such as symmetries and particle filling numbers. In this work, we introduce and provide physical arguments for a new class of LSM-type theorems, where any symmetry-allowed SRE ground state must be a symmetry-protected topological (SPT) phase with robust gapless edge states, such as topological insulators and superconductors. The key ingredient is to replace the lattice translation symmetry in usual LSM theorems by the magnetic translation symmetry. These theorems provide new insights into realistic models and experimental realizations of SPT phases in interacting bosons and fermions.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169806"},"PeriodicalIF":3.0,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142314690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Teleparallel gravity and quintessence: The role of nonminimal boundary couplings 远平行引力与五重性:非最小边界耦合的作用
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-21 DOI: 10.1016/j.aop.2024.169808
S.A. Kadam, L.K. Duchaniya, B. Mishra
{"title":"Teleparallel gravity and quintessence: The role of nonminimal boundary couplings","authors":"S.A. Kadam,&nbsp;L.K. Duchaniya,&nbsp;B. Mishra","doi":"10.1016/j.aop.2024.169808","DOIUrl":"10.1016/j.aop.2024.169808","url":null,"abstract":"<div><div>In this paper, we have outlined the development of an autonomous dynamical system within a general scalar-tensor gravity framework. This framework encompasses the overall structure of the non-minimally coupled scalar field functions for both the torsion scalar (<span><math><mi>T</mi></math></span>) and the boundary term (<span><math><mi>B</mi></math></span>). We have examined three well-motivated forms of potential functions and constrained the model parameters through dynamical system analysis. This analysis has played a crucial role in identifying cosmologically viable models. We have analysed the behaviour of dynamical parameters such as equation-of-state parameters, as well all the standard density parameters for radiation, matter, and dark energy to assess their compatibility with current observational data. The phase space diagrams are presented to support the stability conditions of the corresponding critical points. The Universe is apparent in its late-time cosmic acceleration phase via the dark energy-dominated critical points. Additionally, we compare our findings with the most prevailing <span><math><mi>Λ</mi></math></span>CDM model. The outcomes are further inspected using the cosmological data sets of Supernovae Ia and the Hubble rate <span><math><mrow><mi>H</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math></span>.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169808"},"PeriodicalIF":3.0,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142319816","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Observable strong field effects of extra spacetime dimension in the braneworld black hole 支链世界黑洞额外时空维度的可观测强场效应
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-19 DOI: 10.1016/j.aop.2024.169802
K.K. Nandi , R.N. Izmailov , R. Kh. Karimov , A.A. Potapov
{"title":"Observable strong field effects of extra spacetime dimension in the braneworld black hole","authors":"K.K. Nandi ,&nbsp;R.N. Izmailov ,&nbsp;R. Kh. Karimov ,&nbsp;A.A. Potapov","doi":"10.1016/j.aop.2024.169802","DOIUrl":"10.1016/j.aop.2024.169802","url":null,"abstract":"<div><p>Inspired by the string theory, the braneworld picture introduces extra dimensions beyond the four that may have observable non-trivial effects in short distance (strong field) gravity experiments. A case in point is the Randall–Sundrum braneworld picture that projects the <span><math><mrow><mn>5</mn><mi>d</mi></mrow></math></span> bulk Weyl tensor onto the <span><math><mrow><mn>3</mn><mi>d</mi></mrow></math></span> brane providing a stress tensor in the effective Einstein field equations on the brane. Dadhich, Maartens, Papadopoulos and Rezania (DMPR) derived an exact braneworld black hole solution of the brane vacuum field equations. The solution formally resembles that of Reissner–Nordström but is physically different from it since the ”tidal charge” <span><math><mi>Υ</mi></math></span> in the solution is not the electric charge but an imprint from the fifth dimension allowing both signs in the power law modification <span><math><mrow><mo>±</mo><mfrac><mrow><msup><mrow><mi>Υ</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac></mrow></math></span> to the Schwarzschild metric <span><math><mfenced><mrow><mi>Υ</mi><mo>=</mo><mn>0</mn></mrow></mfenced></math></span>. The corresponding black holes are designated as DMPR<span><math><mo>±</mo></math></span>. We study here the effect of <span><math><mi>Υ</mi></math></span> on strong field lensing observables and compare in the eikonal limit the ring down quasinormal mode (QNM) frequencies of DMPR<span><math><mo>−</mo></math></span> with those of DMPR+ , the two variants of tidal charge modified Schwarzschild black hole (<span><math><mrow><mi>Υ</mi><mo>=</mo><mn>0</mn></mrow></math></span>). It turns out that the tidal charge can significantly modify the Schwarzschild lensing observables and QNM frequencies. In particular, we find that the Pretorius–Khurana critical exponent <span><math><mi>γ</mi></math></span> of circular null orbits in the DMPR<span><math><mo>−</mo></math></span> black hole has a lower value than that for the Schwarzschild black hole, which indicates a stronger Lyapunov instability suggesting that the accretion disks of DMPR<span><math><mo>−</mo></math></span> black holes would appear brighter. The case of the SgrA* black hole is considered for a possible constraint on <span><math><mi>Υ</mi></math></span> from the EHT observation of its shadow size.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169802"},"PeriodicalIF":3.0,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142274156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Phases and coherence of strongly interacting finite bosonic systems in shallow optical lattice 浅光学晶格中强相互作用有限玻色系统的相位和相干性
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-17 DOI: 10.1016/j.aop.2024.169807
Subhrajyoti Roy , Rhombik Roy , Arnaldo Gammal , Barnali Chakrabarti , Budhaditya Chatterjee
{"title":"Phases and coherence of strongly interacting finite bosonic systems in shallow optical lattice","authors":"Subhrajyoti Roy ,&nbsp;Rhombik Roy ,&nbsp;Arnaldo Gammal ,&nbsp;Barnali Chakrabarti ,&nbsp;Budhaditya Chatterjee","doi":"10.1016/j.aop.2024.169807","DOIUrl":"10.1016/j.aop.2024.169807","url":null,"abstract":"<div><div>We explore the ground states of strongly interacting bosons in the vanishingly small and weak lattices using the multiconfiguration time-dependent Hartree method for bosons (MCTDHB) which calculate numerically exact many-body wave function. Two new many-body phases: fragmented or quasi superfluid (QSF) and incomplete fragmented Mott or quasi Mott insulator (QMI) are emerged due to the strong interplay between short-range contact interaction and lattice depth. Fragmentation is utilized as a figure of merit to distinguish these two new phases. We utilize the eigenvalues of the reduced one-body density matrix and define an order parameter that characterizes the pathway from a very weak lattice to a deep lattice. We provide a detailed investigation through the measures of one- and two-body correlations and information entropy. We find that the structures in one- and two-body coherence are good markers to understand the gradual built-up of intra-well correlation and decay of inter-well correlation with increase in lattice depth. For the dipolar interaction, the many-body features become more distinct and true Mott state can appear even in a shallow lattice. Whereas, for incommensurate fraction of particles, incomplete localization happens that exhibits distinct features in the measure of two-body coherence.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169807"},"PeriodicalIF":3.0,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142314689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Emergence of squeezed coherent states in Kaluza–Klein cosmology 卡卢扎-克莱因宇宙学中挤压相干态的出现
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-16 DOI: 10.1016/j.aop.2024.169805
A.S. Lemos , A.S. Pereira , F.A. Brito , Joao R.L. Santos
{"title":"Emergence of squeezed coherent states in Kaluza–Klein cosmology","authors":"A.S. Lemos ,&nbsp;A.S. Pereira ,&nbsp;F.A. Brito ,&nbsp;Joao R.L. Santos","doi":"10.1016/j.aop.2024.169805","DOIUrl":"10.1016/j.aop.2024.169805","url":null,"abstract":"<div><p>In this work, we consider a propagating scalar field on Kaluza–Klein-type cosmological background. It is shown that this geometrical description of the Universe resembles – from a Hamiltonian standpoint – a damped harmonic oscillator with mass and frequency, both time-dependents. In this scenario, we construct the squeezed coherent states (SCSs) for the quantized scalar field by employing the invariant operator method of Lewis–Riesenfeld (non-Hermitian) in a non-unitary approach. The non-classicality of SCSs has been discussed by examining the quadrature squeezing properties from the uncertainty principle. Moreover, we compute the probability density, which allows us to investigate whether SCSs can be used to seek traces of extra dimensions. We then analyze the effects of the existence of supplementary space on cosmological particle production in SCSs by considering different cosmological eras.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169805"},"PeriodicalIF":3.0,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142241970","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Renormalization of the Einstein–Cartan theory in first-order form 一阶形式的爱因斯坦-卡尔坦理论重正化
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-14 DOI: 10.1016/j.aop.2024.169801
F.T. Brandt , J. Frenkel , S. Martins-Filho , D.G.C. McKeon
{"title":"Renormalization of the Einstein–Cartan theory in first-order form","authors":"F.T. Brandt ,&nbsp;J. Frenkel ,&nbsp;S. Martins-Filho ,&nbsp;D.G.C. McKeon","doi":"10.1016/j.aop.2024.169801","DOIUrl":"10.1016/j.aop.2024.169801","url":null,"abstract":"<div><div>We examine the Einstein–Cartan (EC) theory in first-order form, which has a diffeomorphism as well as a local Lorentz invariance. We study the renormalizability of this theory in the framework of the Batalin–Vilkovisky formalism, which allows for a gauge invariant renormalization. Using the background field method, we discuss the gauge invariance of the background effective action and analyze the Ward identities which reflect the symmetries of the EC theory. As an application, we compute, in a general background gauge, the self-energy of the tetrad field at one-loop order.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169801"},"PeriodicalIF":3.0,"publicationDate":"2024-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142319814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Black hole evaporation process and Tangherlini–Reissner–Nordström black holes shadow 黑洞蒸发过程和唐格里尼-赖斯纳-诺德斯特伦黑洞阴影
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-12 DOI: 10.1016/j.aop.2024.169803
Balendra Pratap Singh
{"title":"Black hole evaporation process and Tangherlini–Reissner–Nordström black holes shadow","authors":"Balendra Pratap Singh","doi":"10.1016/j.aop.2024.169803","DOIUrl":"10.1016/j.aop.2024.169803","url":null,"abstract":"<div><p>In this article, we study the black hole evaporation process and shadow property of the Tangherlini-Reissner-Nordström (TRN) black holes. The TRN black holes are the higher-dimensional extension of the Reissner-Nordström (RN) black holes and are characterized by their mass <span><math><mi>M</mi></math></span>, charge <span><math><mi>q</mi></math></span>, and spacetime dimensions <span><math><mi>D</mi></math></span>. In higher-dimensional spacetime, the black hole evaporation occurs rapidly, causing the black hole’s horizon to shrink. We derive the rate of mass loss for the higher-dimensional charged black hole and investigate the effect of higher-dimensional spacetime on charged black hole shadow. We derive the complete geodesic equations of motion with the effect of spacetime dimensions <span><math><mi>D</mi></math></span>. We determine impact parameters by maximizing the black hole’s effective potential and estimate the critical radius of photon orbits. The photon orbits around the black hole shrink with the effect of the increasing number of spacetime dimensions. To visualize the shadows of the black hole, we derive the celestial coordinates in terms of the black hole parameters. We use the observed results of M87 and Sgr A<span><math><msup><mrow></mrow><mrow><mo>∗</mo></mrow></msup></math></span> black hole from the Event Horizon Telescope and estimate the angular diameter of the charge black hole shadow in the higher-dimensional spacetime. We also estimate the energy emission rate of the black hole. Our finding shows that the angular diameter of the black hole shadow decreases with the increasing number of spacetime dimensions <span><math><mi>D</mi></math></span>.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169803"},"PeriodicalIF":3.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142240671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The four-components link invariant in the framework of topological field theories 拓扑场论框架中的四组件链接不变性
IF 3 3区 物理与天体物理
Annals of Physics Pub Date : 2024-09-12 DOI: 10.1016/j.aop.2024.169804
M. Anda , E. Fuenmayor , L. Leal , E. Contreras
{"title":"The four-components link invariant in the framework of topological field theories","authors":"M. Anda ,&nbsp;E. Fuenmayor ,&nbsp;L. Leal ,&nbsp;E. Contreras","doi":"10.1016/j.aop.2024.169804","DOIUrl":"10.1016/j.aop.2024.169804","url":null,"abstract":"<div><p>In this work, we undertake a perturbative analysis of the topological non-Abelian Chern–Simons-Wong model with the aim to explicitly construct the second-order on-shell action. The resulting action is a topological quantity depending solely on closed curves, so it correspond to an analytical expression of a link invariant. Additionally, we construct an Abelian model that reproduces the same second-order on-shell action as its non-Abelian Chern–Simons-Wong counterpart so it functions as an intermediate model, featuring Abelian fields generated by currents supported on closed paths. By geometrically analyzing each term, we demonstrate that this topological invariant effectively detects the knotting of a four-component link.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"470 ","pages":"Article 169804"},"PeriodicalIF":3.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142229069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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