Nuclear Physics BPub Date : 2024-11-20DOI: 10.1016/j.nuclphysb.2024.116744
Joanna Piwnik, Joanna Gonera, Piotr Kosiński
{"title":"Fermat's principle in general relativity via Herglotz variational formalism","authors":"Joanna Piwnik, Joanna Gonera, Piotr Kosiński","doi":"10.1016/j.nuclphysb.2024.116744","DOIUrl":"10.1016/j.nuclphysb.2024.116744","url":null,"abstract":"<div><div>New form of Fermat's principle for light propagation in arbitrary (i.e. in general neither static nor stationary) gravitational field is proposed. It is based on Herglotz extension of canonical formalism and simple relation between the dynamics described by the Lagrangians homogeneous in velocities and the reduced dynamics on lower-dimensional configuration manifold. This approach is more flexible as it allows to extend immediately the Fermat principle to the case of massive particles and to eliminate any space-time coordinate, not only <span><math><msup><mrow><mi>x</mi></mrow><mrow><mn>0</mn></mrow></msup></math></span>.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1010 ","pages":"Article 116744"},"PeriodicalIF":2.5,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2024-11-19DOI: 10.1016/j.nuclphysb.2024.116750
Narges Heidari , Marc de Montigny , Ali Ahmadi Azar , Thambiayya Sathiyaraj , Hassan Hassanabadi
{"title":"Solutions of the nonlinear Klein-Gordon equation and the generalized uncertainty principle with the hybrid analytical and numerical method","authors":"Narges Heidari , Marc de Montigny , Ali Ahmadi Azar , Thambiayya Sathiyaraj , Hassan Hassanabadi","doi":"10.1016/j.nuclphysb.2024.116750","DOIUrl":"10.1016/j.nuclphysb.2024.116750","url":null,"abstract":"<div><div>Motivated by the prediction of a minimal measurable length at Planck scale found in many candidate theories of quantum gravity, we examine the Klein-Gordon equation with a <span><math><mi>λ</mi><msup><mrow><mi>ϕ</mi></mrow><mrow><mn>4</mn></mrow></msup></math></span> interaction and a symmetry-breaking term, in the presence of a generalized uncertainty principle associated with a minimal length. This allows us to assess the correction which underlying physical systems of scalar fields would undergo. Further, we solve the Euler-Lagrange equation by applying the <em>Hybrid Analytical and Numerical</em> (or HAN, for short) method, an effective approach for solving a large variety of nonlinear ordinary and partial differential equations.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1009 ","pages":"Article 116750"},"PeriodicalIF":2.5,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2024-11-19DOI: 10.1016/j.nuclphysb.2024.116745
S.K. Maurya , J. Kumar , S. Chaudhary , A. Errehymy , O. Donmez , K. Myrzakulov
{"title":"Role of F(Q,T) gravity with class one space-time in constructing new spherically symmetric stellar solutions","authors":"S.K. Maurya , J. Kumar , S. Chaudhary , A. Errehymy , O. Donmez , K. Myrzakulov","doi":"10.1016/j.nuclphysb.2024.116745","DOIUrl":"10.1016/j.nuclphysb.2024.116745","url":null,"abstract":"<div><div>This paper aims to investigate the possibility of generating exact solutions for appropriate anisotropic spherically symmetric systems in <span><math><mi>F</mi><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo></math></span> gravity where <span><math><mi>Q</mi></math></span> and <span><math><mi>T</mi></math></span> are non-metricity and the trace of the energy-momentum tensor respectively. These solutions involve embedding a spherically symmetric static metric into a five-dimensional pseudo-Euclidean space. To solve Einstein's field equations and ensure that the solution is free of center singularities, a physically plausible selection of the metric coefficient <span><math><msub><mrow><mi>g</mi></mrow><mrow><mi>r</mi><mi>r</mi></mrow></msub></math></span> is used. With the help of the Karmarkar condition, we compute the <span><math><msub><mrow><mi>g</mi></mrow><mrow><mi>t</mi><mi>t</mi></mrow></msub></math></span> component of the metric tensor using the metric coefficient <span><math><msub><mrow><mi>g</mi></mrow><mrow><mi>r</mi><mi>r</mi></mrow></msub></math></span>. At the boundary of the compact star, we match interior spacetime with the exterior spacetime to find the values of unknown constants. To make the solution match the measured mass and radius, we have tuned up the solution for compact star PSRJ1614-220. The behavior of the solution has been thoroughly examined for the same star. By examining the necessary physical characteristics, such as energy conditions, causality condition, hydrostatic equilibrium, pressure-density ratio, Herera Cracking criterion, etc., the physical acceptability of the model in the context of <span><math><mi>F</mi><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo></math></span> has been investigated. It is observed that the present solution allows viable modeling of stellar objects in <span><math><mi>F</mi><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo></math></span> gravity.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1010 ","pages":"Article 116745"},"PeriodicalIF":2.5,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2024-11-19DOI: 10.1016/j.nuclphysb.2024.116747
C.A.S. Almeida , F.C.E. Lima , S.S. Mishra , Gonzalo J. Olmo , P.K. Sahoo
{"title":"Thick brane in mimetic-like gravity","authors":"C.A.S. Almeida , F.C.E. Lima , S.S. Mishra , Gonzalo J. Olmo , P.K. Sahoo","doi":"10.1016/j.nuclphysb.2024.116747","DOIUrl":"10.1016/j.nuclphysb.2024.116747","url":null,"abstract":"<div><div>We analyze a five-dimensional braneworld governed by a mimetic-like gravity, a plausible candidate for explaining dark matter. Within this scenario, we examine Friedmann-Lemaître-Robertson-Walker (FLRW) branes and find that constant curvature and Minkowskian solutions are possible. We then show that the mimetic model leads to kink-like and lump-like thick brane solutions without the need for spontaneous symmetry breaking. Its stability against small perturbations is also verified.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1009 ","pages":"Article 116747"},"PeriodicalIF":2.5,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2024-11-19DOI: 10.1016/j.nuclphysb.2024.116748
Alexios P. Polychronakos , Konstantinos Sfetsos
{"title":"Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large N","authors":"Alexios P. Polychronakos , Konstantinos Sfetsos","doi":"10.1016/j.nuclphysb.2024.116748","DOIUrl":"10.1016/j.nuclphysb.2024.116748","url":null,"abstract":"<div><div>The non-Abelian ferromagnet recently introduced by the authors, consisting of atoms in the fundamental representation of <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mi>N</mi><mo>)</mo></math></span>, is studied in the limit where <em>N</em> becomes large and scales as the square root of the number of atoms <em>n</em>. This model exhibits additional phases, as well as two different temperature scales related by a factor <span><math><mi>N</mi><mo>/</mo><mi>ln</mi><mo></mo><mi>N</mi></math></span>. The paramagnetic phase splits into a “dense” and a “dilute” phase, separated by a third-order transition and leading to a triple critical point in the scale parameter <span><math><mi>n</mi><mo>/</mo><msup><mrow><mi>N</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> and the temperature, while the ferromagnetic phase exhibits additional structure, and a new paramagnetic-ferromagnetic metastable phase appears at the larger temperature scale. These phases can coexist, becoming stable or metastable as temperature varies. A generalized model in which the number of <span><math><mi>S</mi><mi>U</mi><mo>(</mo><mi>N</mi><mo>)</mo></math></span>-equivalent states enters the partition function with a nontrivial weight, relevant, e.g., when there is gauge invariance in the system, is also studied and shown to manifest similar phases, the dense-dilute phase transition becoming second-order in the fully gauge invariant case.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1009 ","pages":"Article 116748"},"PeriodicalIF":2.5,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2024-11-19DOI: 10.1016/j.nuclphysb.2024.116746
V. Mishnyakov , A. Morozov , M. Reva
{"title":"On factorization hierarchy of equations for banana Feynman integrals","authors":"V. Mishnyakov , A. Morozov , M. Reva","doi":"10.1016/j.nuclphysb.2024.116746","DOIUrl":"10.1016/j.nuclphysb.2024.116746","url":null,"abstract":"<div><div>We present a review of the relations between various equations for maximal cut banana Feynman diagrams, i.e. integrals with propagators substituted with <em>δ</em>-functions. We consider both equal and generic masses. There are three types of equation to consider: those in coordinate space, their Fourier transform and Picard-Fuchs equations originating from the parametric representation. First we review the properties of the corresponding differential operators themselves, mainly their factorization properties at the equal mass locus and their form at special values of the dimension. Then we study the relation between the Fourier transform of the coordinate space equations and the Picard-Fuchs equations and show that they are related by factorization as well. The equations in question are the counterparts of the Virasoro constraints in the much-better studied theory of eigenvalue matrix models and are the first step towards building a full-fledged theory of Feynman integrals, which will reveal their hidden integrable structure.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1010 ","pages":"Article 116746"},"PeriodicalIF":2.5,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142719606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2024-11-17DOI: 10.1016/j.nuclphysb.2024.116741
Konstantin Alkalaev , Pavel Litvinov
{"title":"A note on the large-c conformal block asymptotics and α-heavy operators","authors":"Konstantin Alkalaev , Pavel Litvinov","doi":"10.1016/j.nuclphysb.2024.116741","DOIUrl":"10.1016/j.nuclphysb.2024.116741","url":null,"abstract":"<div><div>We consider <em>α</em>-heavy conformal operators in CFT<sub>2</sub> which dimensions grow as <span><math><mi>h</mi><mo>=</mo><mi>O</mi><mo>(</mo><msup><mrow><mi>c</mi></mrow><mrow><mi>α</mi></mrow></msup><mo>)</mo></math></span> with <em>α</em> being non-negative rational number and conjecture that the large-<em>c</em> asymptotics of the respective 4-point Virasoro conformal block is exponentiated similar to the standard case of <span><math><mi>α</mi><mo>=</mo><mn>1</mn></math></span>. It is shown that the leading exponent is given by a Puiseux polynomial which is a linear combination of power functions in the central charge with fractional powers decreasing from <em>α</em> to 0 according to some pattern. Our analysis is limited by considering the first six explicit coefficients of the Virasoro block function in the coordinate. For simplicity, external primary operators are chosen to be of equal conformal dimensions that, therefore, includes the case of the vacuum conformal block. The consideration is also extended to the 4-point <span><math><msub><mrow><mi>W</mi></mrow><mrow><mn>3</mn></mrow></msub></math></span> conformal block of four semi-degenerate operators, in which case the exponentiation hypothesis works the same way. Here, only the first three block coefficients can be treated analytically.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1009 ","pages":"Article 116741"},"PeriodicalIF":2.5,"publicationDate":"2024-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2024-11-17DOI: 10.1016/j.nuclphysb.2024.116743
Kohei Motegi
{"title":"Factorization of rational six vertex model partition functions","authors":"Kohei Motegi","doi":"10.1016/j.nuclphysb.2024.116743","DOIUrl":"10.1016/j.nuclphysb.2024.116743","url":null,"abstract":"<div><div>We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular boundary. Further, by combining the factorization formulas with the explicit forms of the generalized domain wall boundary partition functions by Belliard-Pimenta-Slavnov, we derive factorization formulas for partition functions under trapezoid boundary which can be viewed as a generalization of triangular boundary. We also discuss an application to emptiness formation probabilities under trapezoid boundary which admit determinant representations.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1009 ","pages":"Article 116743"},"PeriodicalIF":2.5,"publicationDate":"2024-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2024-11-14DOI: 10.1016/j.nuclphysb.2024.116742
Xin-Yu Liu, Rui Guo
{"title":"Mixed single, double, and triple poles solutions for the space-time shifted nonlocal DNLS equation with nonzero boundary conditions via Riemann–Hilbert approach","authors":"Xin-Yu Liu, Rui Guo","doi":"10.1016/j.nuclphysb.2024.116742","DOIUrl":"10.1016/j.nuclphysb.2024.116742","url":null,"abstract":"<div><div>In this paper, we investigate the space-time shifted nonlocal derivative nonlinear Schrödinger (DNLS) equation under nonzero boundary conditions using the Riemann–Hilbert (RH) approach for the first time. To begin with, in the direct scattering problem, we analyze the analyticity, symmetries, and asymptotic behaviors of the Jost eigenfunctions and scattering matrix functions. Subsequently, we examine the coexistence of <em>N</em>-single, <em>N</em>-double, and <em>N</em>-triple poles in the inverse scattering problem. The corresponding residue conditions, trace formulae, <em>θ</em> condition, and symmetry relations of the norming constants are obtained. Moreover, we derive the exact expression for the mixed single, double, and triple poles solutions with the reflectionless potentials by solving the relevant RH problem associated with the space-time shifted nonlocal DNLS equation. Furthermore, to further explore the remarkable characteristics of soliton solutions, we graphically illustrate the dynamic behaviors of several representative solutions, such as three-soliton, two-breather, and soliton-breather solutions. Finally, we analyze the effects of shift parameters through graphical simulations.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1009 ","pages":"Article 116742"},"PeriodicalIF":2.5,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142660916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Nuclear Physics BPub Date : 2024-11-14DOI: 10.1016/j.nuclphysb.2024.116735
R.H. Ali , G. Abbas , Abdul Jawad , Badr S. Alkahtani , G. Mustafa
{"title":"Mathematical formalism of Joule-Thomson process for ADS-RN black hole coupled with non-linear electrodynamics field","authors":"R.H. Ali , G. Abbas , Abdul Jawad , Badr S. Alkahtani , G. Mustafa","doi":"10.1016/j.nuclphysb.2024.116735","DOIUrl":"10.1016/j.nuclphysb.2024.116735","url":null,"abstract":"<div><div>We analyze the thermodynamic potentials and Joule-Thomson adiabatic expansion of a nonlinear electrodynamics charged AdS black hole. The negative cosmological constant is designated as thermodynamic pressure, while the geometrical mass is regarded as the enthalpy. In this study, we demonstrate the analogy between thermodynamic phase transitions in our considered black hole and Reissner-Nordstrom black hole systems, as well as discuss the influence of coupling parameters. The study confirmed the validity of the first law of black hole thermodynamics and the Smarr relation. We have established the Joule-Thomson thermodynamic coefficient and inversion temperature to conduct an analysis of Joule-Thomson adiabatic expansion. Also, the impact of charge parameters and nonlinear electrodynamic parameters on inversion curves have been investigated in detail. The isenthalpic and inversion curves are depicted to determine the cooling and heating regions, explicitly.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1010 ","pages":"Article 116735"},"PeriodicalIF":2.5,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}