Nuclear Physics BPub Date : 2024-10-17DOI: 10.1016/j.nuclphysb.2024.116719
Haximjan Abdusattar , Shi-Bei Kong
{"title":"Cooling-heating properties of the FRW universe in gravity with a generalized conformal scalar field","authors":"Haximjan Abdusattar , Shi-Bei Kong","doi":"10.1016/j.nuclphysb.2024.116719","DOIUrl":"10.1016/j.nuclphysb.2024.116719","url":null,"abstract":"<div><div>In this paper, within the framework of modified gravity involving a conformal scalar field, we investigate the Joule-Thomson expansion of the Friedmann-Robertson-Walker (FRW) universe to identify cooling and heating regions. We observe a divergence in the Joule-Thomson coefficient (<em>μ</em>), precisely at the apparent horizon (<span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>A</mi></mrow></msub><mo>=</mo><msqrt><mrow><mo>−</mo><mn>2</mn><mi>α</mi></mrow></msqrt></math></span>) of the FRW universe, under conditions of negative gravitational coupling (<span><math><mi>α</mi><mo><</mo><mn>0</mn></math></span>), which aligns with a thermodynamic singularity. Furthermore, we determine the inversion temperature and pressure for the FRW universe, and elucidate the salient features of inversion and isenthalpic curves in the temperature-pressure (<em>T</em>-<em>P</em>) plane. We compare these findings with results obtained under Einstein gravity, discussing the influence of the modification term on the cooling and heating properties of the FRW universe. This work presents insights into the formation of cooling and heating regions within the FRW universe, contributing to a deeper understanding of the physical mechanisms behind cosmic expansion history.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116719"},"PeriodicalIF":2.5,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142446949","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 : 2024-10-16DOI: 10.1016/j.nuclphysb.2024.116716
Loran Ts. Adzhemyan , Daniil A. Evdokimov , Mikhail V. Kompaniets
{"title":"Hyperlogarithms in the theory of turbulence of infinite dimension","authors":"Loran Ts. Adzhemyan , Daniil A. Evdokimov , Mikhail V. Kompaniets","doi":"10.1016/j.nuclphysb.2024.116716","DOIUrl":"10.1016/j.nuclphysb.2024.116716","url":null,"abstract":"<div><div>Parametric integration with hyperlogarithms so far has been successfully used in problems of high energy physics (HEP) and critical statics. In this work, for the first time, it is applied to a problem of critical dynamics, namely, a stochastic model of developed turbulence in high-dimensional spaces, which has a propagator that is non-standard with respect to the HEP: <span><math><msup><mrow><mo>(</mo><mo>−</mo><mi>i</mi><mi>ω</mi><mo>+</mo><mi>ν</mi><msup><mrow><mi>k</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></math></span>. Adaptation of the hyperlogarithm method is carried out by choosing a proper renormalization scheme and considering an effective dimension of the space. Analytical calculation of the renormalization group functions is performed up to the fourth order of the perturbation theory, <em>ε</em>-expansion of the critical exponent <em>ω</em> responsible for the infrared stability of the fixed point is obtained.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116716"},"PeriodicalIF":2.5,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142446951","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 : 2024-10-16DOI: 10.1016/j.nuclphysb.2024.116715
T.S. Tavares , G.A.P. Ribeiro
{"title":"Correlation functions of the six-vertex IRF model and its quantum spin chain","authors":"T.S. Tavares , G.A.P. Ribeiro","doi":"10.1016/j.nuclphysb.2024.116715","DOIUrl":"10.1016/j.nuclphysb.2024.116715","url":null,"abstract":"<div><div>We consider the interaction-round-a-face version of the isotropic six-vertex model. The associated spin chain is made of two coupled Heisenberg spin chains with different boundary twists. The phase diagram of the model and the long distance correlations were studied in Tavares and Ribeiro (2023) <span><span>[43]</span></span>. Here, we compute the short-distance correlation functions of the model in the ground state for finite system sizes via non-linear integral equations and in the thermodynamic limit. This was possible since the model satisfies the face version of the discrete quantum Knizhnik-Zamolodchikov (qKZ) equation. A suitable ansatz for the density matrix is proposed in the form of a direct sum of two Heisenberg density matrices, which allows us to obtain the discrete functional equation for the two-site function <span><math><mi>ω</mi><mo>(</mo><msub><mrow><mi>λ</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>λ</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo></math></span>. Thanks to the known results on the factorization of correlation functions of the Heisenberg chain, we are able to compute the density matrix of the IRF model for up to four sites and its associated spin chain for up to three sites.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116715"},"PeriodicalIF":2.5,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530184","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 : 2024-10-16DOI: 10.1016/j.nuclphysb.2024.116718
Denghui Li, Zhaowen Yan
{"title":"Bernstein operators for universal characters and symplectic universal characters","authors":"Denghui Li, Zhaowen Yan","doi":"10.1016/j.nuclphysb.2024.116718","DOIUrl":"10.1016/j.nuclphysb.2024.116718","url":null,"abstract":"<div><div>This paper focuses on the construction of the Bernstein operators for universal characters and symplectic universal characters. By carrying out the action of a series of Bernstein operators on the constant function 1, universal characters and symplectic universal characters have been presented. Furthermore, we concentrate on the investigation of the product of universal characters (symplectic universal characters) and a complete symmetric function. Based upon the Pieri rules and inverse Pieri rules, universal characters and symplectic universal characters can be derived by changing corresponding diagrams of partitions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116718"},"PeriodicalIF":2.5,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142446950","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 : 2024-10-16DOI: 10.1016/j.nuclphysb.2024.116717
M.S. Guimaraes , I. Roditi , S.P. Sorella
{"title":"Bell-CHSH inequality and unitary operators","authors":"M.S. Guimaraes , I. Roditi , S.P. Sorella","doi":"10.1016/j.nuclphysb.2024.116717","DOIUrl":"10.1016/j.nuclphysb.2024.116717","url":null,"abstract":"<div><div>Unitary operators are employed to investigate the violation of the Bell-CHSH inequality. The ensuing modifications affecting both classical and quantum bounds are elucidated. The relevance of a particular class of unitary operators whose expectation values are real is pointed out. For these operators, the classical and quantum bounds remain unaltered, being given, respectively, by 2 and <span><math><mn>2</mn><msqrt><mrow><mn>2</mn></mrow></msqrt></math></span>. As examples, we discuss the explicit realization of phase space Bell-CHSH inequality violation and the Weyl unitary operators for a real scalar field in relativistic Quantum Field Theory.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116717"},"PeriodicalIF":2.5,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142441482","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 : 2024-10-15DOI: 10.1016/j.nuclphysb.2024.116713
Yihu Feng , Allah Ditta , G. Mustafa , S.K. Maurya , Asif Mahmood , Farruh Atamurotov
{"title":"Non-commutative Schwarzschild black hole surrounded by Perfect fluid dark matter: Plasma lensing and thermodynamics analysis","authors":"Yihu Feng , Allah Ditta , G. Mustafa , S.K. Maurya , Asif Mahmood , Farruh Atamurotov","doi":"10.1016/j.nuclphysb.2024.116713","DOIUrl":"10.1016/j.nuclphysb.2024.116713","url":null,"abstract":"<div><div>The focus of this paper is to examine the properties of thermodynamics and weak gravitational lensing about the geometry of black holes within the context of a non-commutative Schwarzschild black hole surrounded by Perfect fluid dark matter. We examine the geometric mass and thermal temperature in this context to discuss the stability of the black hole solution. We examine the phase transition and stability while calculating the specific heat. We also research the black hole's energy emission process. We deduce that our researched black hole solution is thermally stable based on its thermodynamic features. Furthermore, we analyze uniform and non-uniform plasma by calculating the deflection angle, and we examine gravitational lensing in the weak plasma field. It is observed that in uniform plasma, the deflection angle is larger than in non-uniform plasma. We also looked at the image magnification caused by source brightness and found that the source image is enlarged more in uniform plasma than in non-uniform plasma.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116713"},"PeriodicalIF":2.5,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530181","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 : 2024-10-09DOI: 10.1016/j.nuclphysb.2024.116700
D. Pugliese , H. Quevedo
{"title":"Horizon replicas in black hole shadows","authors":"D. Pugliese , H. Quevedo","doi":"10.1016/j.nuclphysb.2024.116700","DOIUrl":"10.1016/j.nuclphysb.2024.116700","url":null,"abstract":"<div><div>Recently, new exploratory channels have opened up for the physics of highly compact objects, such as gravitational waves and black hole shadows. Moreover, more precise analysis and observations are now possible in the physics of accretion around compact objects. These advancements provide in particular an unprecedented insight into the physics near the horizons of a black hole. In this work we focus on the shadow boundary of a Kerr black hole, introducing observables related to special null orbits, called horizons replicas, solutions of the shadow edge equations which are related to particular photon orbits, defined by constraints on their impact parameter, carrying information about the angular momentum of the central spinning object. These orbits are related to particular regions on the shadow boundary and might be used to determine the spin of the black hole. The results provide the conditions by which horizon replicas are imprinted in the black hole shadow profile, in dependence on the black hole dimensionless spin and observational angle, providing eventually new templates for the future observations.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116700"},"PeriodicalIF":2.5,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434437","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 : 2024-10-09DOI: 10.1016/j.nuclphysb.2024.116702
Juan M.Z. Pretel , Ayan Banerjee , Anirudh Pradhan
{"title":"Five-dimensional compact stars in Einstein-Gauss-Bonnet gravity","authors":"Juan M.Z. Pretel , Ayan Banerjee , Anirudh Pradhan","doi":"10.1016/j.nuclphysb.2024.116702","DOIUrl":"10.1016/j.nuclphysb.2024.116702","url":null,"abstract":"<div><div>Within the framework of Einstein-Gauss-Bonnet theory in five-dimensional spacetime (5<em>D</em> EGB), we derive the hydrostatic equilibrium equations and solve them numerically to obtain neutron stars for both isotropic and anisotropic distribution of matter. The mass-radius relations are obtained for SLy equation of state, which describes both the solid crust and the liquid core of neutron stars, and for a wide range of the Gauss-Bonnet coupling parameter <em>α</em>. More specifically, we find that the contribution of the Gauss-Bonnet term leads to substantial deviations from Einstein gravity. We also discuss that after a certain value of <em>α</em>, the theory admits higher maximum masses compared with general relativity, however, the causality condition is violated in the high-mass region. Finally, our results are compared with the recent observations data on mass-radius diagram.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116702"},"PeriodicalIF":2.5,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420958","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 : 2024-10-09DOI: 10.1016/j.nuclphysb.2024.116711
Yen Chin Ong
{"title":"Black holes, complex curves, and graph theory: Revising a conjecture by Kasner","authors":"Yen Chin Ong","doi":"10.1016/j.nuclphysb.2024.116711","DOIUrl":"10.1016/j.nuclphysb.2024.116711","url":null,"abstract":"<div><div>The ratios <span><math><msqrt><mrow><mn>8</mn><mo>/</mo><mn>9</mn></mrow></msqrt><mo>=</mo><mn>2</mn><msqrt><mrow><mn>2</mn></mrow></msqrt><mo>/</mo><mn>3</mn><mo>≈</mo><mn>0.9428</mn></math></span> and <span><math><msqrt><mrow><mn>3</mn></mrow></msqrt><mo>/</mo><mn>2</mn><mo>≈</mo><mn>0.866</mn></math></span> appear in various contexts of black hole physics, as values of the charge-to-mass ratio <span><math><mi>Q</mi><mo>/</mo><mi>M</mi></math></span> or the rotation parameter <span><math><mi>a</mi><mo>/</mo><mi>M</mi></math></span> for Reissner-Nordström and Kerr black holes, respectively. In this work, in the Reissner-Nordström case, I relate these ratios with the quantization of the horizon area, or equivalently of the entropy. Furthermore, these ratios are related to a century-old work of Kasner, in which he conjectured that certain sequences arising from complex analysis may have a quantum interpretation. These numbers also appear in the case of Kerr black holes, but the explanation is not as straightforward. The Kasner ratio may also be relevant for understanding the random matrix and random graph approaches to black hole physics, such as fast scrambling of quantum information, via a bound related to Ramanujan graph. Intriguingly, some other pure mathematical problems in complex analysis, notably complex interpolation in the unit disk, appear to share some mathematical expressions with the black hole problem and thus also involve the Kasner ratio.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1008 ","pages":"Article 116711"},"PeriodicalIF":2.5,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434438","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}