Nuclear Physics B最新文献

{"title":"Dirac Particles in an Acoustic Black Hole","authors":"Nusret SAHAN ,&nbsp;Yusuf SUCU","doi":"10.1016/j.nuclphysb.2026.117422","DOIUrl":"10.1016/j.nuclphysb.2026.117422","url":null,"abstract":"<div><div>We investigate the dynamics of spin-1/2 fields in the <span><math><mrow><mo>(</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>-dimensional draining bathtub spacetime, a well-established analogue model for rotating black holes in hydrodynamic systems. The geometry is characterized by a radial draining parameter <em>A</em>, determining the location of the acoustic horizon, and a circulation parameter <em>B</em>, responsible for frame-dragging effects. We first analyze classical null and timelike geodesics to identify the causal structure, critical orbits, and capture regions of the vortex. Guided by these classical features, we then derive radial solutions of the Dirac equation using the triad formalism for both massless and massive spin-1/2 fermions. The fermionic nature of the field leads to spin-dependent modifications of angular momentum quantization and to distinct superradiant scattering regimes. Conserved Dirac currents and the associated absorption length are computed, allowing us to characterize spin-resolved quantum transport in the analogue black hole background. Our results highlight qualitative differences between scalar and spin-1/2 fermionic fields in vortex geometries and provide experimentally relevant predictions for analogue gravity systems.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1026 ","pages":"Article 117422"},"PeriodicalIF":2.8,"publicationDate":"2026-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147605092","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}

{"title":"First law and black hole thermodynamics of black hole in Dehnen (1,4,12) dark matter environment","authors":"David Senjaya","doi":"10.1016/j.nuclphysb.2026.117341","DOIUrl":"10.1016/j.nuclphysb.2026.117341","url":null,"abstract":"<div><div>In this work, we present a comprehensive thermodynamic analysis of a static, spherically symmetric black hole embedded in a Dehnen <span><math><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mstyle><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mo>)</mo></mrow></math></span> dark matter halo. By constructing an enthalpy-based mass function adapted to the Dehnen profile, we derive explicit expressions for the Hawking temperature, the Gibbs free energies and the specific heat capacities. Building upon these results, we explore the thermodynamic phase structure using an implicit approach in both the <span><math><mrow><mi>G</mi><mspace></mspace><mo>−</mo><mspace></mspace><mi>T</mi></mrow></math></span> and <span><math><mrow><msub><mi>c</mi><mi>H</mi></msub><mspace></mspace><mo>−</mo><mspace></mspace><mi>T</mi></mrow></math></span> frameworks. This work uncovers Van der Waals-like behavior and the corresponding critical points, providing a coherent picture of the black hole + dark matter stability through the behavior of Gibbs free energy and the heat capacity. Comparison to the bearly Schwarzschild black hole shows that the presence of the Dehnen <span><math><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>,</mo><mstyle><mfrac><mn>1</mn><mn>2</mn></mfrac></mstyle><mo>)</mo></mrow></math></span> type dark matter halo introduces substantial modifications to the thermodynamic behavior of the black hole. In particular, the halo plays a decisive role in regulating of black hole phase transitions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117341"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385433","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}

{"title":"Corrigendum to “Phenomenological insights into holographically reconstructed fractional action cosmology: Cosmic dynamics, thermodynamics, and statefinder diagnostics” [Nuclear Physics B Volume: 1018 (September 2025) 117074]","authors":"Rimi Debnath,&nbsp;Sanjeeda Sultana,&nbsp;Khandro K. Chokyi,&nbsp;Surajit Chattopadhyay","doi":"10.1016/j.nuclphysb.2026.117366","DOIUrl":"10.1016/j.nuclphysb.2026.117366","url":null,"abstract":"","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117366"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385862","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}

{"title":"On the six-loop scaling dimensions of the (ϕ2)n operators in d=3","authors":"A.V. Bednyakov ,&nbsp;M.V. Kompaniets ,&nbsp;A.V. Trenogin","doi":"10.1016/j.nuclphysb.2026.117331","DOIUrl":"10.1016/j.nuclphysb.2026.117331","url":null,"abstract":"<div><div>We consider a class of singlet operators (<em>ϕ</em>²)^<em>n</em> in the three-dimensional <em>O</em>(<em>N</em>) model with <em>λ</em>²<em>ϕ</em>⁶ interaction. Recently [1], the corresponding anomalous dimensions <em>γ</em>_2<em>n</em> were computed by semiclassical methods and the all-loop result for the leading-<em>n</em> corrections in the small <em>λ</em> limit was found. In this paper, we obtain the six-loop expressions not only for the leading-<em>n</em> contribution but also for the subleading one. While the leading correction confirms the predictions of recent semiclassical calculation, the subleading one is a new result and will serve as a future welcome check for all-loop expressions. As an important by-product of our calculation, we provide a full dependence on <em>n</em> of the four-loop <em>γ</em>_2<em>n</em> in the <em>O</em>(<em>N</em>) case.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117331"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385949","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}

{"title":"Bethe equations for the critical three-state Potts spin chain with toroidal boundary conditions","authors":"M.J. Martins","doi":"10.1016/j.nuclphysb.2026.117323","DOIUrl":"10.1016/j.nuclphysb.2026.117323","url":null,"abstract":"<div><div>In this paper, we consider the parameterization of the spectra of the three-state critical Potts quantum chain with integrable twisted boundary conditions in terms of Bethe ansatz type equations. The Bethe equations are found by investigating the structure of the eigenvalues of the respective twisted transfer matrices, and with the help of certain identities satisfied by the product of transfer matrices operators. We have studied the completeness of the spectrum in terms of the Bethe roots for small lattice sizes and have computed the eigenstate momenta. We found that the spins of the low-lying excitations can have fractional values in accordance with predictions of the underlying conformal field theory. We argue that our framework can be used to build integrable Hamiltonians whose spectra are determined by mixing different toroidal boundary conditions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117323"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385950","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}

{"title":"Charmonium, exotic hadrons and hadron structure","authors":"Bing-Song Zou","doi":"10.1016/j.nuclphysb.2026.117363","DOIUrl":"10.1016/j.nuclphysb.2026.117363","url":null,"abstract":"<div><div>To celebrate the 50th anniversary of the discovery of the <em>J</em>/<em>ψ</em>, the first charmonium state observed, I start with a brief review of major progresses on the QCD inspired quark potential model originated from charmonium spectrum. Then I show the importance of unquenching dynamics, multiquark components and exotic multiquark states for understanding hadron structure and hadron spectrscopy. The <em>J</em>/<em>ψ</em> and charmonium-like states have played an important role in this aspect.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117363"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385861","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}

{"title":"Phase space analysis of sign-changing interacting dark energy models in finslerian cosmology","authors":"Shivani Sharma,&nbsp;R. Chaubey","doi":"10.1016/j.nuclphysb.2026.117365","DOIUrl":"10.1016/j.nuclphysb.2026.117365","url":null,"abstract":"<div><div>We explore the dynamical behavior of the cosmological model endowed with an energy transfer between pressure-less cold dark matter and dark energy in the Finsler-Randers framework. The interaction forms considered are dependent exclusively on the intrinsic properties of the dark components and allow for energy transfer across these components. We recast the system into an autonomous system by assuming a constant equation of state for the dark energy and perform a phase space analysis to describe the qualitative behavior. The dynamic behavior of the model strongly depends on the interaction term along with the dark energy parameter. The existence of stable late-time attractors represents the accelerated expansion of the universe in these models. The overall behavior based on the qualitative dynamics describes the transiting universe evolution dynamics composed of matter and dark energy dominated phases and thus presents the promising character of the Finslerian geometry-based interacting models. We test the observational viability of the model through parameter estimation using the CC and Pantheon<span><math><msup><mrow></mrow><mo>+</mo></msup></math></span> datasets, which jointly constrain the expansion history from low to high redshift. Moreover, the comparison of the best-fit <em>H</em>(<em>z</em>) curves for the individual CC and Pantheon<span><math><msup><mrow></mrow><mo>+</mo></msup></math></span> datasets within the Finsler model is presented.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117365"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385946","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}

{"title":"Impact of charge on traversable wormhole solutions and modified f(R, ϕ) gravity","authors":"Adnan Malik ,&nbsp;M. Waqas Aslam ,&nbsp;Wenbin Lin ,&nbsp;Muhammad Kashif Shafiq ,&nbsp;Fatemah Mofarreh ,&nbsp;Ramy M. Hafez","doi":"10.1016/j.nuclphysb.2026.117345","DOIUrl":"10.1016/j.nuclphysb.2026.117345","url":null,"abstract":"<div><div>In this paper, we investigate the traversable wormhole solutions in the presence of charge within the framework of <em>f</em>(<em>R, ϕ</em>) gravity, where <em>R</em> represents the Ricci scalar and <em>ϕ</em> denotes the scalar potential, respectively. We also consider the Karmarkar condition for the discussion of wormhole geometry. The obtained shape function satisfies all necessary Morris-Thorne criteria for traversability. We derive and graphically examine the physical characteristics, including energy density and pressure components, for a specific linear charge distribution. Our analysis confirms the violation of the null energy condition in the radial direction. The violation of these energy conditions indicates the presence of exotic matter, which is the main candidate for the existence of a wormhole. Under some sensible conditions, the analysis may give an assurance of the existence of wormhole geometries in the <em>f</em>(<em>R, ϕ</em>) theory of gravity. Furthermore, we investigate the stability of the wormhole through the Tolman-Oppenheimer-Volkov equation, namely the equilibrium condition. By comparing four distinct <em>f</em>(<em>R, ϕ</em>) models, we demonstrate the robustness of traversable wormhole solutions in this modified gravity setting and identify parameter ranges that minimize energy condition violations. The results affirm that <em>f</em>(<em>R, ϕ</em>) gravity, augmented by an electromagnetic field, can support stable, traversable wormhole geometries.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117345"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385434","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}

{"title":"Tensor-network formulation of QCD in the strong-coupling expansion","authors":"Thomas Samberger ,&nbsp;Jacques Bloch ,&nbsp;Robert Lohmayer,&nbsp;Tilo Wettig","doi":"10.1016/j.nuclphysb.2025.117267","DOIUrl":"10.1016/j.nuclphysb.2025.117267","url":null,"abstract":"<div><div>We present a tensor-network formulation for the strong-coupling expansion of QCD with staggered quarks at nonzero chemical potential, for arbitrary number of dimensions, colors, and flavors. We integrate out the gauge and quark degrees of freedom and rewrite the partition function as the complete trace of a tensor network. This network consists of local tensors that contain a numerical and a Grassmann part. We truncate the initial tensor at a fixed order in the inverse coupling <em>β</em> and compute analytical results for the partition function, the free energy, and the chiral condensate on a 2 × 2 lattice up to order <em>β</em>⁴. In a follow-up paper we will introduce an enhanced tensor-network method, order-separated GHOTRG, to explicitly compute the expansion coefficients of the partition function for larger lattices. To demonstrate its potential, first results obtained with this new method are already presented here.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117267"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385867","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}

{"title":"Optics in the Gödel universe: Effects of global rotation and Planck-scale corrections","authors":"Omar Mustafa ,&nbsp;Abdullah Guvendi ,&nbsp;Semra Gurtas Dogan","doi":"10.1016/j.nuclphysb.2026.117347","DOIUrl":"10.1016/j.nuclphysb.2026.117347","url":null,"abstract":"&lt;div&gt;&lt;div&gt;We investigate the propagation of a massless scalar field in the Gödel universe and demonstrate that the rotating spacetime functions as an intrinsically optically active medium, characterized by a refractive index that depends on both position and frequency. Starting from the covariant Klein-Gordon equation, we derive a generalized Helmholtz-type radial equation in which the effective refractive index &lt;em&gt;n&lt;/em&gt;&lt;sub&gt;∘&lt;/sub&gt;(&lt;em&gt;r, ω&lt;/em&gt;) explicitly depends on the radial coordinate &lt;em&gt;r&lt;/em&gt; and frequency &lt;em&gt;ω&lt;/em&gt;. Consequently, the Gödel geometry manifests as a rotation-induced optical medium: scalar modes are confined within a finite radial domain bounded by turning points where &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msubsup&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;∘&lt;/mo&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. Depending on the rotation rate Ω, the frequency &lt;em&gt;ω&lt;/em&gt;, and the azimuthal quantum number &lt;em&gt;m&lt;/em&gt;, the medium supports either propagating &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;msubsup&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;∘&lt;/mo&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mo&gt;&gt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; or evanescent &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;msubsup&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;∘&lt;/mo&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; behavior. Near the rotational axis, a centrifugal singularity emerges, producing strongly evanescent regions for |&lt;em&gt;m&lt;/em&gt;| &gt; 1/2, whereas for &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, propagation persists near the axis but confinement still occurs due to the evanescent asymptotics at large &lt;em&gt;r&lt;/em&gt;. Asymptotically, &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msubsup&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;∘&lt;/mo&gt;&lt;/mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msubsup&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;∞&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;≃&lt;/mo&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mfrac&gt;&lt;msup&gt;&lt;mstyle&gt;&lt;mi&gt;Ω&lt;/mi&gt;&lt;/mstyle&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;msup&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, rendering all modes evanescent. Planck-scale corrections are incorporated within the framework of rainbow gravity, employing energy-dependent functions &lt;em&gt;f&lt;/em&gt;(ϵ) and &lt;em&gt;g&lt;/em&gt;(ϵ), where &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;ϵ&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;msub&gt;&lt;mi&gt;ω&lt;/mi&gt;&lt;mi&gt;p&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. We consider (i) loop-quantum-gravity-inspired functions &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;ϵ&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;ϵ&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;msqrt&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mi&gt;ϵ&lt;/mi&gt;&lt;/mrow&gt;&lt;/msqrt&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; and (ii) doubly special relativity-inspired functions &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;f&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;ϵ&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;η&lt;/mi&gt;&lt;mi&gt;ϵ&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mspace&gt;&lt;/mspace&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;ϵ&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117347"},"PeriodicalIF":2.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147385435","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}