Theoretical and Mathematical Physics最新文献_第6页

Photon emission due to vacuum instability under the action of a quasi-constant electric field 准常数电场作用下真空不稳定性引起的光子发射

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060024

T. C. Adorno, S. P. Gavrilov, D. M. Gitman

引用次数: 0

Magnetohydrodynamics in the turbulent dynamo regime: The stability problem 紊流发电机中的磁流体动力学：稳定性问题

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060073

M. Hnatič, T. Lučivjanský, L. Mižišin, Y. Molotkov, A. V. Ovsiannikov

{"title":"Magnetohydrodynamics in the turbulent dynamo regime: The stability problem","authors":"M. Hnatič, T. Lučivjanský, L. Mižišin, Y. Molotkov, A. V. Ovsiannikov","doi":"10.1134/S0040577926060073","DOIUrl":"10.1134/S0040577926060073","url":null,"abstract":" This paper investigates stochastic solenoidal magnetohydrodynamics within the field-theoretic Martin–Siggia–Rose–Janssen–De Dominicis formalism, with a specific focus on the stability of the system when spatial mirror (parity) symmetry is explicitly broken. Under helical forcing, the one-particle-irreducible magnetic response function already at one-loop order contains a curl-type contribution that dominates the bare resistive term in the infrared limit, leading to exponential instability of the trivial state (langle boldsymbol brangle= boldsymbol 0). We re-examine a stabilization mechanism proposed by L. T. Adzhemyan et al. in [Theor. Math. Phys. 72, 940–950 (1987)], in which the system evolves into a phase with dynamically induced spontaneously broken rotational symmetry and a generated mean magnetic field (langle boldsymbol brangle= boldsymbol B_0). By deriving a self-consistency condition for ( boldsymbol B_0), we show that for any physically admissible (infrared) form of the pumping function, the model admits only a singular solution. We illustrate this with the standard power-law and “massive” pumping functions. We further show that previous claims of a finite ( boldsymbol B_0) arose from an inconsistent truncation of asymptotic expansions. We argue that a consistent physical resolution requires the inclusion of a bare curl term in the stochastic induction equation, which naturally arises from a parity-violating modification of Ohm’s law. With this modification, stabilization of the system by spontaneous symmetry breaking becomes a viable field-theoretic description of large-scale mean-field generation (turbulent dynamo) in helical turbulent magnetohydrodynamics. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"996 - 1008"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}

引用次数: 0

Casimir energy for the interaction of (n) (delta)-plates with a massless real scalar field (n)(delta) -板与无质量实标量场相互作用的卡西米尔能量

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060097

M. V. Kraskov, Yu. M. Pis’mak

{"title":"Casimir energy for the interaction of (n) (delta)-plates with a massless real scalar field","authors":"M. V. Kraskov, Yu. M. Pis’mak","doi":"10.1134/S0040577926060097","DOIUrl":"10.1134/S0040577926060097","url":null,"abstract":" Within the Symanzik approach, we consider a massless real scalar field in Euclidean spacetime in the presence of (n) planar (delta)-plates with an interaction potential (V(z)=sum_{i=1}^n lambda_idelta(z-z_i)). Using functional integration and the Sylvester identity, the interaction energy density (per unit area) can be reduced to the logarithm of the determinant of an (ntimes n) matrix. After subtracting the self-energy contribution, the geometry of the system allows the problem to be reduced to calculating the determinant of a tridiagonal matrix, which is evaluated using a recurrence relation. For a system of identical plates with equal separations, we obtain a closed expression in terms of Chebyshev polynomials. As an illustration of the efficiency of the method, an explicit form for (n=20) is written out, and the limiting case of infinitely strong interaction ((lambdatoinfty)), which is associated with Dirichlet boundary conditions, is considered. In addition, we show that in the case where the number of plates (ntoinfty) and the separation (Lto0), at fixed thickness (T=nL) and with weak coupling constant (lambda), the system of (delta)-films approaches a finite-thickness slab. The results are verified for the particular cases (n=2) and (n=3). ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"1026 - 1037"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}

引用次数: 0

On the hypothesis of a second Higgs boson near 0.5 TeV 假设在0.5 TeV附近存在第二个希格斯玻色子

IF 1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060036

S. S. Afonin

引用次数: 0

Discriminants of symmetric polynomials 对称多项式的判别式

IF 1.1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-05-26 DOI: 10.1134/S0040577926050028

N. S. Perminov, S. R. Shakirov

引用次数: 0

Nonlinear field dynamics and spacetime self-organization in Kerr geometry 克尔几何中的非线性场动力学与时空自组织

IF 1.1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-05-26 DOI: 10.1134/S0040577926050119

Jingxu Wu, P. I. Pronin, Jie Shi

{"title":"Nonlinear field dynamics and spacetime self-organization in Kerr geometry","authors":"Jingxu Wu, P. I. Pronin, Jie Shi","doi":"10.1134/S0040577926050119","DOIUrl":"10.1134/S0040577926050119","url":null,"abstract":" We develop a unified, field-theoretic framework for coherent dynamics in the near-horizon environment of rotating (Kerr) black holes that bridges general-relativistic geometry, nonequilibrium phase transitions, and multimessenger diagnostics. Starting from a covariant effective action with a Landau–Ginzburg potential for a complex order parameter (A) coupled to a slow reservoir (X) (curvature/density proxy), we identify a critical ridge (X_{mathrm c}) that organizes metastability and defines the natural control parameter (varepsilon=X-X_{mathrm c}). Linearization in a corotating Kerr patch yields a dispersion relation in which Doppler shifting and Lense–Thirring precession enter explicitly, while coupling to (X) reshapes the unstable band and links superradiant/corotation amplification to pattern-forming thresholds. Near onset, a multiple-scale reduction leads to a complex Ginzburg–Landau (TDGL/CGL) envelope governing nonlinear self-organization. The resulting states exhibit quantized defects and rotating spiral morphologies whose core precession and arm-pass motion set a pattern clock. Energy and angular momentum cycle quasi-periodically between (A) and (X), producing windowed anti-correlations with an entropy-like coherence measure and establishing scale links via core radius and interface width. GW-like and EM-like proxies display a common dominant peak with sidebands and finite coherence, with frequencies and bandwidths that track the Kerr spin (a_ast) and the unified coupling strength. Together, these results provide a minimal, predictive backbone for interpreting horizon-scale morphology, energy transport, and partially coherent GW/EM spectra around rotating black holes. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 2","pages":"888 - 902"},"PeriodicalIF":1.1,"publicationDate":"2026-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}

引用次数: 0

Manin triples and (O(4,4)) dualities Manin三元组和(O(4,4))二元性

IF 1.1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-05-26 DOI: 10.1134/S0040577926050016

A. S. Kurenkova, E. T. Musaev

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Zero-energy states and non-Hermitian skin effect in the infinite double-barrier and finite Su–Schrieffer–Heeger models 无限双势垒和有限Su-Schrieffer-Heeger模型中的零能态和非厄米集肤效应

IF 1.1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-05-26 DOI: 10.1134/S0040577926050053

T. S. Tinyukova, Yu. P. Chuburin

引用次数: 0

Delay of an electron in resonances of double atomic ionization by one photon 单光子双原子电离共振中电子的延迟

IF 1.1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-05-26 DOI: 10.1134/S0040577926050065

V. G. Yarzhemsky, L. V. Chernyshova

引用次数: 0

Chaotic and natural inflationary scenarios confronted with Planck and BK18 data 面对普朗克和BK18数据的混乱和自然暴胀情景

IF 1.1 4区物理与天体物理

Theoretical and Mathematical Physics Pub Date : 2026-05-26 DOI: 10.1134/S0040577926050077

Samson S. Hounmenou, Ines G. Salako

{"title":"Chaotic and natural inflationary scenarios confronted with Planck and BK18 data","authors":"Samson S. Hounmenou, Ines G. Salako","doi":"10.1134/S0040577926050077","DOIUrl":"10.1134/S0040577926050077","url":null,"abstract":" We examine the dynamics of warm inflation in the context of modified teleparallel gravity, (mathtt f(T,mathcal T)), focusing on the strong dissipative regime ((r>1)). Two representative inflationary potentials chaotic ((V(vartheta)proptovartheta^n)) and natural ((V(vartheta)=Lambda^4[1+cos(vartheta/f)])) are analyzed considering both constant and field-dependent dissipation coefficients. For the chaotic potential with constant dissipation, the scalar spectral index (n_{mathrm s}) remains nearly insensitive to the model exponent (n), while the tensor-to-scalar ratio (R) shows a clear dependence. For typical choices, (n_{mathrm s}simeq 0.965-0.970) and (Rlesssim 0.07), consistent with Planck (2018+mathrm{BK}18) bounds at (95%) C.L. With a variable dissipation coefficient, only one specific chaotic scenario satisfies observational limits, with the energy scale adapting to model parameters. For the natural potential, (mathtt f(T,mathcal T)) corrections play a key role, adjusting both (n_{mathrm s}) and (R) to fall within the Planck ({2018+mathrm{BK}18}) allowed ranges while permitting the symmetry-breaking scale (f) to remain sub-Planckian. These results contrast with cold inflation models, where similar (mathtt f(mathcal R,T)) corrections fail to render the potentials compatible with observations. Our study suggests that exploring alternative (f(T,mathcal T)) forms and revisiting previously excluded potentials could further illuminate the viability of warm inflation scenarios. ","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 2","pages":"826 - 844"},"PeriodicalIF":1.1,"publicationDate":"2026-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}

引用次数: 0