Pub Date : 2025-02-11DOI: 10.1016/j.nuclphysb.2025.116839
Yu.M. Zinoviev
Here we discuss the general properties of the Fradkin-Vasiliev formalism for constructing higher spin cubic interactions. Initially, it was formulated only for massless fields, but later its application was extended to systems of both massless and massive (partially massless) fields. We restrict our discussion to , not only for technical reasons (such as the use of multispinor formalism), but mainly because the classification of cubic vertices in differs drastically from that in higher dimensions.
{"title":"On the Fradkin-Vasiliev formalism in d = 4","authors":"Yu.M. Zinoviev","doi":"10.1016/j.nuclphysb.2025.116839","DOIUrl":"10.1016/j.nuclphysb.2025.116839","url":null,"abstract":"<div><div>Here we discuss the general properties of the Fradkin-Vasiliev formalism for constructing higher spin cubic interactions. Initially, it was formulated only for massless fields, but later its application was extended to systems of both massless and massive (partially massless) fields. We restrict our discussion to <span><math><mi>d</mi><mo>=</mo><mn>4</mn></math></span>, not only for technical reasons (such as the use of multispinor formalism), but mainly because the classification of cubic vertices in <span><math><mi>d</mi><mo>=</mo><mn>4</mn></math></span> differs drastically from that in higher dimensions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116839"},"PeriodicalIF":2.5,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143403411","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}
Pub Date : 2025-02-11DOI: 10.1016/j.nuclphysb.2025.116833
A. Bogomyagkov , V. Druzhinin , E. Levichev , A. Milstein , I. Okunev , S. Taskaev
The paper presents solution of quantum problem of neutron propagation in the magnetic field with multipole field expansion. Rigorous solution of the Pauli equation for neutron reveals existence of two solutions, finite and infinite, for any multipole configuration. As an example, we present detailed study of neutron motion in quadrupole and sextupole magnets. Our predictions agree with the results of Stern-Gerlach experiment for neutrons. To verify existence of finite and infinite motion, we discuss an experiment which could be performed in the Budker Institute of Nuclear Physics using existing equipment. We conclude with considerations of neutron storage ring with straight section and discrete magnets focusing the beam.
{"title":"Quantum and classical dynamics of neutron in a magnetic field","authors":"A. Bogomyagkov , V. Druzhinin , E. Levichev , A. Milstein , I. Okunev , S. Taskaev","doi":"10.1016/j.nuclphysb.2025.116833","DOIUrl":"10.1016/j.nuclphysb.2025.116833","url":null,"abstract":"<div><div>The paper presents solution of quantum problem of neutron propagation in the magnetic field with multipole field expansion. Rigorous solution of the Pauli equation for neutron reveals existence of two solutions, finite and infinite, for any multipole configuration. As an example, we present detailed study of neutron motion in quadrupole and sextupole magnets. Our predictions agree with the results of Stern-Gerlach experiment for neutrons. To verify existence of finite and infinite motion, we discuss an experiment which could be performed in the Budker Institute of Nuclear Physics using existing equipment. We conclude with considerations of neutron storage ring with straight section and discrete magnets focusing the beam.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116833"},"PeriodicalIF":2.5,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143394639","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}
Pub Date : 2025-02-07DOI: 10.1016/j.nuclphysb.2025.116821
Xiao-yan Hu, Yuan-zhang Cui, Wei Xu
This paper delves into the Hawking-Page phase transitions of charged Anti-de Sitter (AdS) black holes within the context of four-dimensional Einstein-Gauss-Bonnet gravity are presented. Reentrant Hawking-Page phase transition, alongside triple points are introduced in spherically symmetric charged AdS black holes. The reentrant transition is characterized by two distinct Hawking-Page transitions, each associated with unique temperatures, while the triple points signify the simultaneous existence of small, massless, and large black holes. The hyperbolic Gauss-Bonnet charged AdS black hole solution is given, establishing that both charged and uncharged hyperbolically symmetric AdS black holes manifest the classical Hawking-Page phase transition properties. P-T phase diagram are constructed under dual symmetries, highlighting special points such as triple and critical points, and analyzing how variations in the Gauss-Bonnet constant and electric potential impact Hawking-Page phase transitions. The 4D Einstein-Gauss-Bonnet gravity theory, which serves as an effective four-dimensional reduction of the Gauss-Bonnet gravitational theory, bearing immense theoretical significance. According to the AdS/CFT correspondence theory, the conventional Hawking-Page phase transition finds interpretation as the confinement-deconfinement transition within gauge theories, while the reentrant Hawking-Page phase transition and triple points can also be interpreted as the phase transition and triple points in the QCD phase diagram. These advancements hold promise for deepening insights into black hole thermodynamics in the framework of quantum gravity.
{"title":"Hawking-Page transition in 4D Einstein-Gauss-Bonnet gravity","authors":"Xiao-yan Hu, Yuan-zhang Cui, Wei Xu","doi":"10.1016/j.nuclphysb.2025.116821","DOIUrl":"10.1016/j.nuclphysb.2025.116821","url":null,"abstract":"<div><div>This paper delves into the Hawking-Page phase transitions of charged Anti-de Sitter (AdS) black holes within the context of four-dimensional Einstein-Gauss-Bonnet gravity are presented. Reentrant Hawking-Page phase transition, alongside triple points are introduced in spherically symmetric charged AdS black holes. The reentrant transition is characterized by two distinct Hawking-Page transitions, each associated with unique temperatures, while the triple points signify the simultaneous existence of small, massless, and large black holes. The hyperbolic Gauss-Bonnet charged AdS black hole solution is given, establishing that both charged and uncharged hyperbolically symmetric AdS black holes manifest the classical Hawking-Page phase transition properties. P-T phase diagram are constructed under dual symmetries, highlighting special points such as triple and critical points, and analyzing how variations in the Gauss-Bonnet constant and electric potential impact Hawking-Page phase transitions. The 4D Einstein-Gauss-Bonnet gravity theory, which serves as an effective four-dimensional reduction of the Gauss-Bonnet gravitational theory, bearing immense theoretical significance. According to the AdS/CFT correspondence theory, the conventional Hawking-Page phase transition finds interpretation as the confinement-deconfinement transition within gauge theories, while the reentrant Hawking-Page phase transition and triple points can also be interpreted as the phase transition and triple points in the QCD phase diagram. These advancements hold promise for deepening insights into black hole thermodynamics in the framework of quantum gravity.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116821"},"PeriodicalIF":2.5,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143377405","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}
We consider a modified gravity by higher-derivative gravity coupled with non-local terms and Maxwell electrodynamics. By employing the effective field theory framework for quantum gravity, we compute quantum corrections to the entropy of charged AdS black holes, focusing on second-order curvature terms. By incorporating scale-dependent coefficients, we establish that the Wald entropy is renormalization group (RG) invariant, confirming the robustness of the framework. Additionally, quantum corrections to thermodynamic quantities-temperature, pressure, specific heat, and Helmholtz free energy-are derived, all satisfying the first-law of thermodynamics. Specific heat and Helmholtz free energy also exhibit RG invariance, demonstrating stability under scale transformations. These findings highlight the effectiveness of the approach in describing quantum modifications to charged AdS black hole thermodynamics, offering insights into the interplay between quantum gravity and black hole physics.
{"title":"Quantum gravitational corrections to the geometry of charged AdS black holes","authors":"Behnam Pourhassan , Ruben Campos Delgado , Sudhaker Upadhyay , Hoda Farahani , Himanshu Kumar","doi":"10.1016/j.nuclphysb.2025.116830","DOIUrl":"10.1016/j.nuclphysb.2025.116830","url":null,"abstract":"<div><div>We consider a modified gravity by higher-derivative gravity coupled with non-local terms and Maxwell electrodynamics. By employing the effective field theory framework for quantum gravity, we compute quantum corrections to the entropy of charged AdS black holes, focusing on second-order curvature terms. By incorporating scale-dependent coefficients, we establish that the Wald entropy is renormalization group (RG) invariant, confirming the robustness of the framework. Additionally, quantum corrections to thermodynamic quantities-temperature, pressure, specific heat, and Helmholtz free energy-are derived, all satisfying the first-law of thermodynamics. Specific heat and Helmholtz free energy also exhibit RG invariance, demonstrating stability under scale transformations. These findings highlight the effectiveness of the approach in describing quantum modifications to charged AdS black hole thermodynamics, offering insights into the interplay between quantum gravity and black hole physics.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116830"},"PeriodicalIF":2.5,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143349783","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}
Pub Date : 2025-02-06DOI: 10.1016/j.nuclphysb.2025.116825
Federico L. Bottesi , Guillermo R. Zemba
We consider the known effective field theory of the Calogero-Sutherland model in the thermodynamic limit of large number of particles, obtained from the standard procedure in conformal field theory: the Hilbert space is constructed a priori in terms of irreducible representations of the symmetry algebra, and not by diagonalization of the hamiltonian, which is given in terms of fields that carry representations of the algebra (representing the incompressibility of the Fermi sea). Nevertheless, the role of the effective hamiltonian of the theory is to establish a specific dynamics, which deserves further consideration. We show that the time evolution of the (chiral or antichiral) density field is given by the quantum Benjamin-Ono equation, in agreement with previous results obtained from the alternative description of the continuous limit of the model, based on quantum hydrodynamics. In this study, all calculations are performed at the quantum operator level, without making any assumption on the semiclassical limit of the fields and their equations of motion. This result may be considered as a reliable indication of the equivalence between the quantum field theoretic and quantum hydrodynamical formulations of the effective theories of the model. A one-dimensional quantum compressible fluid that includes both chiralities is the physical picture that emerges for the continuous limit of the Calogero-Sutherland model.
{"title":"Quantum dynamics of the effective field theory of the Calogero-Sutherland model","authors":"Federico L. Bottesi , Guillermo R. Zemba","doi":"10.1016/j.nuclphysb.2025.116825","DOIUrl":"10.1016/j.nuclphysb.2025.116825","url":null,"abstract":"<div><div>We consider the known effective field theory of the Calogero-Sutherland model in the thermodynamic limit of large number of particles, obtained from the standard procedure in conformal field theory: the Hilbert space is constructed <em>a priori</em> in terms of irreducible representations of the symmetry algebra, and not by diagonalization of the hamiltonian, which is given in terms of fields that carry representations of the <span><math><msub><mrow><mi>W</mi></mrow><mrow><mn>1</mn><mo>+</mo><mo>∞</mo></mrow></msub></math></span> algebra (representing the incompressibility of the Fermi sea). Nevertheless, the role of the effective hamiltonian of the theory is to establish a specific dynamics, which deserves further consideration. We show that the time evolution of the (chiral or antichiral) density field is given by the quantum Benjamin-Ono equation, in agreement with previous results obtained from the alternative description of the continuous limit of the model, based on quantum hydrodynamics. In this study, all calculations are performed at the quantum operator level, without making any assumption on the semiclassical limit of the fields and their equations of motion. This result may be considered as a reliable indication of the equivalence between the quantum field theoretic and quantum hydrodynamical formulations of the effective theories of the model. A one-dimensional quantum compressible fluid that includes both chiralities is the physical picture that emerges for the continuous limit of the Calogero-Sutherland model.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116825"},"PeriodicalIF":2.5,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143377407","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}
Pub Date : 2025-02-06DOI: 10.1016/j.nuclphysb.2025.116823
Martin T. Luu
The masses of affine Toda theories are known to correspond to the entries of a Perron-Frobenius eigenvector of the relevant Cartan matrix. The Lagrangian of the theory can be expressed in terms of a suitable eigenvector of a Coxeter element in the Weyl group. We generalize this set-up by formulating Lagrangians based on eigenvectors of arbitrary elements in the Weyl group. Under some technical conditions (that hold for many Weyl group elements), we calculate the classical mass spectrum. In particular, we indicate the relation to the relative geometry of special roots, generalizing the affine Toda mass spectrum description in terms of the Cartan matrix. Related questions of three point coupling and integrability are left to be addressed on a future occasion.
{"title":"The Toda-Weyl mass spectrum","authors":"Martin T. Luu","doi":"10.1016/j.nuclphysb.2025.116823","DOIUrl":"10.1016/j.nuclphysb.2025.116823","url":null,"abstract":"<div><div>The masses of affine Toda theories are known to correspond to the entries of a Perron-Frobenius eigenvector of the relevant Cartan matrix. The Lagrangian of the theory can be expressed in terms of a suitable eigenvector of a Coxeter element in the Weyl group. We generalize this set-up by formulating Lagrangians based on eigenvectors of arbitrary elements in the Weyl group. Under some technical conditions (that hold for many Weyl group elements), we calculate the classical mass spectrum. In particular, we indicate the relation to the relative geometry of special roots, generalizing the affine Toda mass spectrum description in terms of the Cartan matrix. Related questions of three point coupling and integrability are left to be addressed on a future occasion.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116823"},"PeriodicalIF":2.5,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143349782","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}
Pub Date : 2025-02-06DOI: 10.1016/j.nuclphysb.2025.116822
Zhiyuan Wang , Jian Zhou
In this work we study the tau-function of the KP hierarchy specified by the topological 1D gravity. As an application, we present two types of algorithms to compute the orbifold Euler characteristics of the moduli spaces of stable curves. The first is to use (fat or thin) topological recursion formulas emerging from the Virasoro constraints for ; and the second is to use a formula for the connected n-point functions of a KP tau-function in terms of its affine coordinates on the Sato Grassmannian. This is a sequel to an earlier work [34].
{"title":"Topological 1D gravity, KP hierarchy, and orbifold Euler characteristics of M‾g,n","authors":"Zhiyuan Wang , Jian Zhou","doi":"10.1016/j.nuclphysb.2025.116822","DOIUrl":"10.1016/j.nuclphysb.2025.116822","url":null,"abstract":"<div><div>In this work we study the tau-function <span><math><msup><mrow><mi>Z</mi></mrow><mrow><mn>1</mn><mi>D</mi></mrow></msup></math></span> of the KP hierarchy specified by the topological 1D gravity. As an application, we present two types of algorithms to compute the orbifold Euler characteristics of the moduli spaces <span><math><msub><mrow><mover><mrow><mi>M</mi></mrow><mo>‾</mo></mover></mrow><mrow><mi>g</mi><mo>,</mo><mi>n</mi></mrow></msub></math></span> of stable curves. The first is to use (fat or thin) topological recursion formulas emerging from the Virasoro constraints for <span><math><msup><mrow><mi>Z</mi></mrow><mrow><mn>1</mn><mi>D</mi></mrow></msup></math></span>; and the second is to use a formula for the connected <em>n</em>-point functions of a KP tau-function in terms of its affine coordinates on the Sato Grassmannian. This is a sequel to an earlier work <span><span>[34]</span></span>.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116822"},"PeriodicalIF":2.5,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143349781","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}
Pub Date : 2025-02-06DOI: 10.1016/j.nuclphysb.2025.116819
Samprity Das , Prabir Rudra , Surajit Chattopadhyay
This article presents a new model for anisotropic compact stars that are confined to physical dark matter in the background of teleparallel gravity. The model is based on the equation of state (EoS) of the bag model type and the Bose-Einstein dark matter density profile. The derived solutions meet the energy conditions, the causality conditions, and the required conditions on the stability factor and adiabatic index, indicating that they are physically well-behaved and represent the physical and stable matter configuration. We also determine the maximum mass, surface redshift, and compactness parameter at the surface. Interestingly, all of these numbers fall within the specified range, supporting the physical viability of our proposal. Additionally, the various masses that are derived for varying the model parameter k correspond to five compact, realistic compact objects, including LMC X-4, Her X-1, 4U 1538-52, SAX J1808.4-3658, and Cen X-3. We have also illustrated the radially symmetric profiles of energy density and the moment of inertia for non-rotating stars.
{"title":"Relativistic model of an anisotropic star with Bose-Einstein dark matter density profile in f(T) gravity","authors":"Samprity Das , Prabir Rudra , Surajit Chattopadhyay","doi":"10.1016/j.nuclphysb.2025.116819","DOIUrl":"10.1016/j.nuclphysb.2025.116819","url":null,"abstract":"<div><div>This article presents a new model for anisotropic compact stars that are confined to physical dark matter in the background of <span><math><mi>f</mi><mo>(</mo><mi>T</mi><mo>)</mo></math></span> teleparallel gravity. The model is based on the equation of state (EoS) of the bag model type and the Bose-Einstein dark matter density profile. The derived solutions meet the energy conditions, the causality conditions, and the required conditions on the stability factor and adiabatic index, indicating that they are physically well-behaved and represent the physical and stable matter configuration. We also determine the maximum mass, surface redshift, and compactness parameter at the surface. Interestingly, all of these numbers fall within the specified range, supporting the physical viability of our proposal. Additionally, the various masses that are derived for varying the model parameter <em>k</em> correspond to five compact, realistic compact objects, including LMC X-4, Her X-1, 4U 1538-52, SAX J1808.4-3658, and Cen X-3. We have also illustrated the radially symmetric profiles of energy density and the moment of inertia for non-rotating stars.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116819"},"PeriodicalIF":2.5,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143378078","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}
Pub Date : 2025-02-06DOI: 10.1016/j.nuclphysb.2025.116824
Pavlos Kassotakis , Theodoros Kouloukas , Maciej Nieszporski
We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. Furthermore, we show that these equations can be reinterpreted as difference systems defined on the graph and this reinterpretation relates (unifies) the linear and the non-linear approach of discrete analytic functions.
{"title":"Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions","authors":"Pavlos Kassotakis , Theodoros Kouloukas , Maciej Nieszporski","doi":"10.1016/j.nuclphysb.2025.116824","DOIUrl":"10.1016/j.nuclphysb.2025.116824","url":null,"abstract":"<div><div>We extend the equations of motion that describe non-relativistic elastic collision of two particles in one dimension to an arbitrary associative algebra. Relativistic elastic collision equations turn out to be a particular case of these generic equations. Furthermore, we show that these equations can be reinterpreted as difference systems defined on the <span><math><msup><mrow><mi>Z</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> graph and this reinterpretation relates (unifies) the linear and the non-linear approach of discrete analytic functions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1012 ","pages":"Article 116824"},"PeriodicalIF":2.5,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143377408","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}
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