Nuclear Physics BPub Date : 2025-04-07DOI: 10.1016/j.nuclphysb.2025.116898
Hossam Taha , El-sayed A. El-dahshan , S. Elgammal
{"title":"Search for dark matter in the framework of Einstein-Cartan gravity at the International Linear Collider (ILC)","authors":"Hossam Taha , El-sayed A. El-dahshan , S. Elgammal","doi":"10.1016/j.nuclphysb.2025.116898","DOIUrl":"10.1016/j.nuclphysb.2025.116898","url":null,"abstract":"<div><div>This paper investigates the possibility of Dark Matter (DM) fermions production alongside a gauge boson (A′) using a model based on Einstein-Cartan gravity in an electron-positron linear collider, such as the ILC, that operates at a center-of-mass energy <span><math><msqrt><mrow><mi>s</mi></mrow></msqrt><mo>=</mo><mn>500</mn></math></span> GeV with a detector's integrated luminosity of 500 fb<sup>−1</sup>. We used the <span>WHIZARD</span> package as the event generator to simulate the <span><math><msup><mrow><mi>e</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>e</mi></mrow><mrow><mo>−</mo></mrow></msup></math></span> interactions that lead to the production of di-muon pairs and missing transverse energy. We specifically are performing this study on a low mass dark gauge boson, M<span><math><msub><mrow></mrow><mrow><msup><mrow><mi>A</mi></mrow><mrow><mo>′</mo></mrow></msup></mrow></msub></math></span>= 10 GeV, that can subsequently decay into a muon pair (A<span><math><mmultiscripts><mrow><mo>→</mo></mrow><mprescripts></mprescripts><none></none><mrow><mo>′</mo></mrow></mmultiscripts><msup><mrow><mi>μ</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>μ</mi></mrow><mrow><mo>−</mo></mrow></msup><mo>)</mo></math></span> while aiming to set upper limits on the free parameters' masses of the model, such as the torsion field (ST), if evidence for physics beyond the standard model is not found.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116898"},"PeriodicalIF":2.5,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791685","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}
{"title":"Orthogonal splitting of the Riemann curvature tensor and its implications in modeling compact stellar structures","authors":"A. Rehman , Tayyab Naseer , Nazek Alessa , Abdel-Haleem Abdel-Aty","doi":"10.1016/j.nuclphysb.2025.116897","DOIUrl":"10.1016/j.nuclphysb.2025.116897","url":null,"abstract":"<div><div>Although the interpretation of complexity in extended theories of gravity is available in the literature, its illustration in <span><math><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>,</mo><mi>T</mi><mo>)</mo></math></span> theory is still ambiguous. The orthogonal decomposition of the Riemann tensor results in the emergence of complexity factor as recently proposed by Herrera <span><span>[1]</span></span>. We initiate the analysis by contemplating the interior spacetime as a static spherical anisotropic composition under the presence of charge. The modified field equations are derived along with the establishment of association between the curvature and conformal tensors that have significant relevance in evaluating complexity of the system. Furthermore, the generalized expressions for two different masses are calculated, and their link with conformal tensor is also analyzed. Moreover, we develop a particular relation between predetermined quantities and evaluate the complexity in terms of a certain scalar <span><math><msub><mrow><mi>Y</mi></mrow><mrow><mi>T</mi><mi>F</mi></mrow></msub></math></span>. Several interior solutions admitting vanishing complexity are also determined. Interestingly, compact objects having anisotropic matter configuration along with the energy density inhomogeneity possess maximum complexity. It is concluded that the spherical distribution of matter might not manifest complexity or admitting minimal value of this factor in the framework of <span><math><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><msub><mrow><mi>L</mi></mrow><mrow><mi>m</mi></mrow></msub><mo>,</mo><mi>T</mi><mo>)</mo></math></span> theory due to the appearance of dark source terms.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116897"},"PeriodicalIF":2.5,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791686","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 : 2025-04-03DOI: 10.1016/j.nuclphysb.2025.116894
Erdem Sucu, İzzet Sakallı
{"title":"Nonlinear electrodynamics effects on the geometry, thermodynamics, and quantum dynamics of (2+1)-dimensional black holes","authors":"Erdem Sucu, İzzet Sakallı","doi":"10.1016/j.nuclphysb.2025.116894","DOIUrl":"10.1016/j.nuclphysb.2025.116894","url":null,"abstract":"<div><div>Black holes in <span><math><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>)</mo></math></span> dimensions serve as valuable toy models for understanding key aspects of real astrophysical black holes, providing insights into quantum gravity and thermodynamic properties. In this work, we present a novel <span><math><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>)</mo></math></span>-dimensional black hole solution coupled with nonlinear electrodynamics (NLED). This extension of the well-known charged Bañados-Teitelboim-Zanelli (BTZ) black hole allows for a detailed investigation of the geometric and thermodynamic properties influenced by nonlinear electromagnetic fields. The introduction of the NLED parameter <em>α</em> modifies the black hole metric, leading to significant corrections in thermodynamic quantities such as the Hawking temperature and entropy. Using quantum tunneling methods, we derive the modified Hawking temperature, showing its explicit dependence on NLED corrections. Furthermore, we analyze entropy modifications that incorporate quantum statistical mechanics methods, revealing the impact of logarithmic corrections and the Generalized Uncertainty Principle (GUP). Additionally, we examine the propagation of a massive scalar field in this black hole background by solving the radial Klein-Gordon equation numerically. The NLED parameter introduces additional terms in the effective potential, affecting quantum field scattering, particle trapping, and the behavior of the photon sphere. We further study geodesic motion and highlight the influence of NLED on the deflection of light and the black hole shadow, suggesting potential observational signatures of these corrections. Finally, we investigate fundamental frequencies associated with quasi-periodic oscillations (QPOs) in the black hole accretion disk, offering a possible avenue for testing NLED effects through astrophysical observations. Therefore, this study offers insights into the observable signatures of NLED-modified black holes and their potential relevance in astrophysical and gravitational wave experiments.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116894"},"PeriodicalIF":2.5,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143776639","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 : 2025-04-03DOI: 10.1016/j.nuclphysb.2025.116895
S. Abbaslu , A. Rezaei , S. Rostam Zadeh , S.S. Gousheh
{"title":"The generation of baryon asymmetry and hypermagnetic field by the chiral vortical effect in the presence of sphalerons","authors":"S. Abbaslu , A. Rezaei , S. Rostam Zadeh , S.S. Gousheh","doi":"10.1016/j.nuclphysb.2025.116895","DOIUrl":"10.1016/j.nuclphysb.2025.116895","url":null,"abstract":"<div><div>We show how the temperature-dependent chiral vortical effect can generate hypermagnetic fields and matter-antimatter asymmetries, in the symmetric phase of the early Universe, in the temperature range <span><math><mn>100</mn><mspace></mspace><mtext>GeV</mtext><mo>≤</mo><mi>T</mi><mo>≤</mo><mn>10</mn><mspace></mspace><mtext>TeV</mtext></math></span>, even in the presence of the weak sphaleron processes. We take into account all perturbative chirality-flip processes, as well as the nonperturbative Abelian and non-Abelian anomalous effects for all three generations. Using the constraints and conservation laws in the plasma, we reduce the number of required evolution equations. We also simplify the anomalous transport coefficients, accordingly. We consider both monochromatic and continuous spectra for the hypermagnetic and velocity fields to solve the anomalous magnetohydrodynamics equations. We then show that overlapping small transient fluctuations in the temperature of some matter degrees of freedom and vorticity of the plasma can generate a chiral vortical current, resulting in the generation of strong hypermagnetic fields and matter-antimatter asymmetries, all starting from zero initial values. We obtain the baryon asymmetry <span><math><msub><mrow><mi>η</mi></mrow><mrow><mi>B</mi></mrow></msub><mo>≃</mo><mn>5</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>10</mn></mrow></msup></math></span> and a positive helicity hypermagnetic field with amplitude <span><math><msub><mrow><mi>B</mi></mrow><mrow><mi>Y</mi></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>≃</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>19</mn></mrow></msup><mi>G</mi></math></span>, at the onset of the electroweak phase transition. Although the sphaleron processes tend to washout the generated <span><math><mo>(</mo><mi>B</mi><mo>+</mo><mrow><mi>L</mi><mo>)</mo></mrow></math></span> asymmetry, the anomalous processes prevail and the baryogenesis and leptogenesis occur without <span><math><mo>(</mo><mi>B</mi><mo>−</mo><mrow><mi>L</mi><mo>)</mo></mrow></math></span> violation.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116895"},"PeriodicalIF":2.5,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791690","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 : 2025-04-03DOI: 10.1016/j.nuclphysb.2025.116893
Abdel Nasser Tawfik , Azzah A. Alshehri , Antonio Pasqua
{"title":"Expansion Evolution of Nonhomogeneous Metric with Quantum-Mechanically Revisited Fundamental Metric Tensor","authors":"Abdel Nasser Tawfik , Azzah A. Alshehri , Antonio Pasqua","doi":"10.1016/j.nuclphysb.2025.116893","DOIUrl":"10.1016/j.nuclphysb.2025.116893","url":null,"abstract":"<div><div>To explore the properties of space and initial singularities in the context of general relativity, where spacetime becomes poorly defined and no longer belongs to a regular manifold, we examine the evolution of the expansion of timelike geodesic congruences for two distinct formulations of the fundamental metric tensor. This analysis is conducted within a nonhomogeneous, anisotropic, and spherically symmetric cosmic background. The results derived from the conventional metric tensor, the building block of Einstein's theory of general relativity, are compared with those obtained from a quantum-mechanically revisited metric tensor. This comparison enables an assessment of the proposed geometric quantization, particularly in terms of whether singularities are regulated or diminished. Utilizing a quantum geometric approach, the numerical analysis incorporating a quantum-mechanically revisited metric tensor applies a mean-field approximation on the integrated quantum operators. In contrast to the results obtained with conventional metric tensor, the quantum-mechanically induced revision of the metric tensor seems to provide a framework for controlling singularities in the new formulation of general relativity. The degree of quantization likely influences the ability to regulate or even potentially remove both singularities. We also conclude that the proposed geometric quantization provides a means to explore the quantum nature of spacetime curvatures, emphasizing that the singularity dilemma arose primarily from the standard semi-classical approximation of Einstein's general relativity.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116893"},"PeriodicalIF":2.5,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143791688","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 : 2025-04-02DOI: 10.1016/j.nuclphysb.2025.116891
Nadeem Azhar , Abdul Jawad , Shamaila Rani , Mohammad Mahtab Alam , Sanjar Shaymatov , Sania
{"title":"Physical insights of squared speed of sound parameterized Brans-Dicke gravity through cosmic parameters and thermodynamics","authors":"Nadeem Azhar , Abdul Jawad , Shamaila Rani , Mohammad Mahtab Alam , Sanjar Shaymatov , Sania","doi":"10.1016/j.nuclphysb.2025.116891","DOIUrl":"10.1016/j.nuclphysb.2025.116891","url":null,"abstract":"<div><div>In this work, we investigate the cosmic analysis in detail by assuming squared speed of sound parameterizations in the framework of Brans-Dicke theory. For this purpose, we extract various cosmological parameters such as Hubble, deceleration, equation of state, <em>Om</em> diagnostic and jerk. We also explore the viability of the universe through the <span><math><mi>ω</mi><mo>−</mo><msup><mrow><mi>ω</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> plane and the statefinder plane. We present the analytical and graphical solutions for all of the above-mentioned parameters. From the graphical analysis, it is noted that the deceleration parameter demonstrates the deceleration to acceleration expansions of the universe. In most cases, the <em>Om</em> diagnostic shows a quintessence-like era, the jerk parameter and statefinder parameter show the ΛCDM limit and the <span><math><mi>ω</mi><mo>−</mo><msup><mrow><mi>ω</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> plane indicates a freezing region of the universe. Our investigation reveals that the squared speed of sound demonstrates stable behavior across all considered parameterizations. To analyze the thermodynamic properties of the proposed models, we examine the validity of the generalized second law of thermodynamics with generalized six parameters entropy as horizon entropy. We found the validity of this law for all squared speed of sound parameterizations.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116891"},"PeriodicalIF":2.5,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143767845","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 : 2025-03-31DOI: 10.1016/j.nuclphysb.2025.116892
Omar Mustafa , Abdullah Guvendi
{"title":"KG-oscillators in a spinning cosmic string spacetime and an external magnetic field","authors":"Omar Mustafa , Abdullah Guvendi","doi":"10.1016/j.nuclphysb.2025.116892","DOIUrl":"10.1016/j.nuclphysb.2025.116892","url":null,"abstract":"<div><div>We study the Klein-Gordon (KG) oscillators in a spinning cosmic string spacetime and an external magnetic field. The corresponding KG-equation is shown to admit a solution in the form of the confluent hypergeometric functions/polynomials. Consequently, the corresponding energies are shown to be given in a quadratic equation of delicate nature that has to be solved in an orderly manner (for it involves the energies for KG-particles/antiparticles, <span><math><mi>E</mi><mo>=</mo><msub><mrow><mi>E</mi></mrow><mrow><mo>±</mo></mrow></msub><mo>=</mo><mo>±</mo><mrow><mo>|</mo><mi>E</mi><mo>|</mo></mrow></math></span> along with the magnetic quantum number <span><math><mi>m</mi><mo>=</mo><msub><mrow><mi>m</mi></mrow><mrow><mo>±</mo></mrow></msub><mo>=</mo><mo>±</mo><mo>|</mo><mi>m</mi><mo>|</mo></math></span>). Following a case-by-case strategy allowed us to clearly observe the effects of the spinning cosmic string on the spectroscopic structure of the KG-oscillators. Interestingly, we have observed that the coexistence of a spinning cosmic string and an external magnetic field eliminates the effect of the wedge parameter for KG-particles (<span><math><mi>E</mi><mo>=</mo><msub><mrow><mi>E</mi></mrow><mrow><mo>+</mo></mrow></msub></math></span>), with <span><math><mi>m</mi><mo>=</mo><msub><mrow><mi>m</mi></mrow><mrow><mo>+</mo></mrow></msub></math></span>, but not for the KG-antiparticles (<span><math><mi>E</mi><mo>=</mo><msub><mrow><mi>E</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span>), with <span><math><mi>m</mi><mo>=</mo><msub><mrow><mi>m</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span>. Such coexistence is observed to break the symmetry of the energies of the KG-particles and the antiparticles about <span><math><mi>E</mi><mo>=</mo><mn>0</mn></math></span> for the KG-oscillators. However, for KG-particles (<span><math><mi>E</mi><mo>=</mo><msub><mrow><mi>E</mi></mrow><mrow><mo>+</mo></mrow></msub></math></span>), with <span><math><mi>m</mi><mo>=</mo><msub><mrow><mi>m</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span>, and KG-antiparticles (<span><math><mi>E</mi><mo>=</mo><msub><mrow><mi>E</mi></mrow><mrow><mo>−</mo></mrow></msub></math></span>), with <span><math><mi>m</mi><mo>=</mo><msub><mrow><mi>m</mi></mrow><mrow><mo>+</mo></mrow></msub></math></span>, they are found to be unfortunate because they are indeterminable. Moreover, for the spinning parameter <span><math><mi>β</mi><mo>></mo><mo>></mo><mn>1</mn></math></span>, the clustering of the energy levels is observed eminent to indicate that there is no distinction between energy levels at such values of <em>β</em>.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116892"},"PeriodicalIF":2.5,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738836","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}
{"title":"The solution space of a five-dimensional geometry: Kundt spacetimes and cosmological time-crystals","authors":"Homa Shababi , Theophanes Grammenos , Nikolaos Dimakis , Andronikos Paliathanasis , Theodosios Christodoulakis","doi":"10.1016/j.nuclphysb.2025.116890","DOIUrl":"10.1016/j.nuclphysb.2025.116890","url":null,"abstract":"<div><div>We uncover the solution space of a five dimensional geometry which we deem it as the direct counterpart of the Bianchi Type V cosmological model. We kinematically reduce the scale factor matrix and then, with an appropriate scaling and choice of time, we cast the spatial equations into a simple “Kasner” like form; thus revealing linear integrals of motion. Their number is enough so that, along with the quadratic constraint, it suffices to scan the entire space of solutions. The latter is revealed to be quite rich, containing cosmological solutions, some of which admit dimensional reduction asymptotically to four dimensions, Kundt spacetimes with vanishing type I (polynomial) curvature scalars and solutions describing periodic universes which behave like cosmological time crystals.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1014 ","pages":"Article 116890"},"PeriodicalIF":2.5,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737854","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 : 2025-03-28DOI: 10.1016/j.nuclphysb.2025.116888
S. Davood Sadatian, S. Mohamad Reza Hosseini
{"title":"Effects of torsion coupling on fermions and Bounce dynamics of the universe","authors":"S. Davood Sadatian, S. Mohamad Reza Hosseini","doi":"10.1016/j.nuclphysb.2025.116888","DOIUrl":"10.1016/j.nuclphysb.2025.116888","url":null,"abstract":"<div><div>The influence of torsion coupling with fermions on Bounce dynamics is an intriguing area of research at the intersection of gravity, particle physics, and cosmology. While definitive answers are still elusive, there are promising theoretical indications and ongoing investigations to explore this connection. Theoretically, torsion coupling with fermions could introduce new terms into the equations governing the Bounce, potentially influencing its characteristics (i.e. a singular bouncing cosmology can be attained through the introduction of a fermion field with Bardeen-Cooper-Schrieffer (BCS) condensation at high energy scales). In this regard, we discuss the role of fermion fields in cosmology, particularly focusing on the bouncing model as a solution to the singularity problem of the Big Bang. We highlight how the coupling between spin and torsion in the Einstein-Cartan theory of gravity can prevent gravitational singularities, leading to a nonsingular bounce instead of a Big Bang. We emphasize the implications of this model for understanding the early universe and the fundamental interactions that shaped its evolution. This study also references some works that have contributed to the understanding of fermionic interactions and their cosmological significance, suggesting new subject for future research in this area.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1014 ","pages":"Article 116888"},"PeriodicalIF":2.5,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737857","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 : 2025-03-28DOI: 10.1016/j.nuclphysb.2025.116887
Marco Bochicchio , Mauro Papinutto , Francesco Scardino
{"title":"On the structure of the large-N expansion in SU(N) Yang-Mills theory","authors":"Marco Bochicchio , Mauro Papinutto , Francesco Scardino","doi":"10.1016/j.nuclphysb.2025.116887","DOIUrl":"10.1016/j.nuclphysb.2025.116887","url":null,"abstract":"<div><div>Recently, we have computed the short-distance asymptotics of the generating functional of Euclidean correlators of single-trace twist-2 operators in the large-<em>N</em> expansion of SU(<em>N</em>) Yang-Mills (YM) theory to the leading-nonplanar order. Remarkably, it has the structure of the logarithm of a functional determinant, but with the sign opposite to the one that would follow from the spin-statistics theorem for the glueballs. In order to solve this sign puzzle, we have reconsidered the proof in the literature that in the 't Hooft topological expansion of large-<em>N</em> YM theory the leading-nonplanar contribution to the generating functional consists of the sum over punctures of <em>n</em>-punctured tori. We have discovered that for twist-2 operators it contains – in addition to the <em>n</em>-punctured tori – the normalization of tori with <span><math><mn>1</mn><mo>≤</mo><mi>p</mi><mo>≤</mo><mi>n</mi></math></span> pinches and <span><math><mi>n</mi><mo>−</mo><mi>p</mi></math></span> punctures. Once the existence of the new sector is taken into account, the violation of the spin-statistics theorem disappears. Moreover, the new sector contributes trivially to the nonperturbative <em>S</em> matrix because – for example – the <em>n</em>-pinched torus represents nonperturbatively a loop of <em>n</em> glueball propagators with no external leg. This opens the way for an exact solution limited to the new sector that may be solvable thanks to the vanishing <em>S</em> matrix.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1015 ","pages":"Article 116887"},"PeriodicalIF":2.5,"publicationDate":"2025-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143759244","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}