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Quantum hydrodynamics: Construction of equations and critical scaling of viscosity 量子流体力学：粘度方程的构造和临界标度
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S004057792606005X
D. A. Davletbaeva, M. V. Komarova, M. Yu. Nalimov
{"title":"Quantum hydrodynamics: Construction of equations and critical scaling of viscosity","authors":"D. A. Davletbaeva,&nbsp;M. V. Komarova,&nbsp;M. Yu. Nalimov","doi":"10.1134/S004057792606005X","DOIUrl":"10.1134/S004057792606005X","url":null,"abstract":"<p> A systematic method is proposed for deriving hydrodynamic equations for microscopic quantum field models. All terms of the equations are constructed from composite operators based on the Schwinger equations and are subsequently transformed into closed form using functional integral techniques. This scheme is applied to derive an analog of the Navier–Stokes equation for a quantum Bose liquid. The critical dimensions of the shear and bulk viscosity coefficients near the <span>(lambda)</span> point are presented. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"971 - 983"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305930","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
Six-loop renormalization group analysis of the (varphi^4 + varphi^6) model (varphi^4 + varphi^6)模型的六环重整化群分析
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060012
L. Ts. Adzhemyan, M. V. Kompaniets, A. V. Trenogin
{"title":"Six-loop renormalization group analysis of the (varphi^4 + varphi^6) model","authors":"L. Ts. Adzhemyan,&nbsp;M. V. Kompaniets,&nbsp;A. V. Trenogin","doi":"10.1134/S0040577926060012","DOIUrl":"10.1134/S0040577926060012","url":null,"abstract":"<p> We investigate the <span>(lambdavarphi^4+gvarphi^6)</span> model using the renormalization group method and the <span>(varepsilon)</span> expansion. This model is used in a situation where the coefficients <span>(lambda)</span>, <span>(g)</span>, and the coefficient <span>(tau)</span> of the term <span>(tau varphi^2)</span> depend on two parameters <span>(T)</span> and <span>(P)</span>, and there is a point (<span>(T_c,P_c)</span>) at which <span>(tau)</span> and <span>(lambda)</span> are zero. This point is called the tricritical point. The description of the system depends on the trajectory leading to the tricritical point on the plane (<span>(T,P)</span>). Along trajectories where <span>(lambda)</span> approaches zero sufficiently fast, the asymptotic description is defined by the <span>(varphi^6)</span> interaction and thus the <span>(varphi^4)</span> term can be considered as a composite operator. In this case, the logarithmic dimension is <span>(d=3)</span>, and the <span>(varepsilon)</span> expansion is carried out in the dimension <span>(d=3-2varepsilon)</span>. The main exponents of the tricritical model have been calculated in the third order of the <span>(varepsilon)</span> expansion. Taking into account the <span>(varphi^4)</span> interaction, we were able to calculate the parameter that determines the required decay rate of <span>(lambda)</span> to implement the tricritical behavior. The tricritical dimensions of the composite operators <span>(varphi^k)</span> for <span>(k=1, 2, 4, 6)</span> have been computed. The resulting values are compared to those known from a conformal field theory and nonperturbative renormalization group. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"925 - 936"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305933","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
Point particles as spin chains 点粒子是自旋链
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060103
V. A. Krivorol
{"title":"Point particles as spin chains","authors":"V. A. Krivorol","doi":"10.1134/S0040577926060103","DOIUrl":"10.1134/S0040577926060103","url":null,"abstract":"<p> This work surveys a recently developed approach to the study of free point particles on Riemannian manifolds, based on the Kirillov orbit method, geometric quantization, and the geometry of Lagrangian submanifolds. We show that, given a Lagrangian submanifold <span>(mathcal{M})</span> embedded in a product of coadjoint orbits and a Hamiltonian <span>(H)</span> attaining its minimum on this submanifold, such a configuration naturally induces free point particle dynamics on <span>(mathcal{M})</span>. The metric governing this dynamics is precisely defined by the quadratic expansion of <span>(H)</span> around its minimum. Upon quantization, this correspondence establishes a relation between <span>(L^2(mathcal{M}))</span> and a corresponding spin-chain Hilbert space as well as a spectral equivalence between the Laplace–Beltrami operator on <span>(L^2(mathcal{M}))</span> and a spin Hamiltonian. Explicit examples of this construction are presented for particles moving on the complex plane, two-dimensional sphere, flag manifolds, and the hyperbolic plane. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"1038 - 1052"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305929","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
All-loop quantum corrections to effective potential of (SO(N))-scalar models in curved background 弯曲背景下(SO(N)) -标量模型有效势的全环量子修正
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060115
D. M. Tolkachev, V. A. Filippov, R. M. Iakhibbaev
{"title":"All-loop quantum corrections to effective potential of (SO(N))-scalar models in curved background","authors":"D. M. Tolkachev,&nbsp;V. A. Filippov,&nbsp;R. M. Iakhibbaev","doi":"10.1134/S0040577926060115","DOIUrl":"10.1134/S0040577926060115","url":null,"abstract":"<p> We construct renormalization group equations for the effective potential in the leading logarithmic approximation. These equations are valid for arbitrary <span>(SO(N))</span>-symmetric scalar field theories, including nonrenormalizable ones, in four dimensions on a curved background with nonminimal coupling. The solutions to these equations represent the sum of leading logarithms in all orders of perturbation theory for two contributions to the effective potential: one that is linear in curvature and another that corresponds to the effective potential on a flat background. In the renormalizable case, the obtained equations reduce to the standard renormalization group equations. Finally, we consider possible cosmological applications of the solutions to the renormalization group equations. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"1053 - 1063"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305926","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
Scalar-scalar-tensor interaction in DHOST theories DHOST理论中的标量-标量-张量相互作用
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060127
V. E. Volkova, S. A. Mironov
{"title":"Scalar-scalar-tensor interaction in DHOST theories","authors":"V. E. Volkova,&nbsp;S. A. Mironov","doi":"10.1134/S0040577926060127","DOIUrl":"10.1134/S0040577926060127","url":null,"abstract":"<p> We derive the general cubic action for perturbations about a cosmological background in the quadratic subclass of degenerate higher-order scalar-tensor (DHOST) theories, focusing on scalar-scalar-tensor interactions. We adopt a fully covariant formulation and implement the unitary gauge at the level of perturbations. This mixed sector provides the key ingredient for estimating the decay rate of a gravitational wave into two scalar excitations in the quadratic DHOST models of dark energy in the late-time Universe. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"1064 - 1073"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305927","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
Analysis of the equations of motion of fictitious matter in embedding theory 嵌入理论中虚物质运动方程的分析
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060140
A. J. Ziyatdinov, S. A. Paston
{"title":"Analysis of the equations of motion of fictitious matter in embedding theory","authors":"A. J. Ziyatdinov,&nbsp;S. A. Paston","doi":"10.1134/S0040577926060140","DOIUrl":"10.1134/S0040577926060140","url":null,"abstract":"<p> Embedding theory is a possible modification of general relativity that provides a framework for explaining the observed effects typically attributed to dark matter. The idea of this modification is to consider our spacetime as a four-dimensional surface in a ten-dimensional flat ambient space. The equations of motion in embedding theory can be reformulated as a set of Einstein equations with the contribution of some additional fictitious matter and of equations describing this matter. We analyze static solutions of these equations, which are reduced to fictitious-matter configurations of the wall, string, and ball types. The string case is ultimately described by the Liouville equation, and the ball case is described by its three-dimensional analogue. For the string case, we show that as the density contribution decreases at infinity, all solutions to the Liouville equation are rotationally symmetric. For the case of the ball, we show that under the assumption of spherical symmetry, there exists a unique one-parameter family of solutions that are smooth at the center. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"1082 - 1093"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305989","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
Renormalization group analysis of the directed percolation process: Towards a multiloop calculation of scaling functions 定向渗流过程的重整化群分析：面向尺度函数的多循环计算
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060061
M. Hnatič, M. Kecer, T. Lučivjanský, L. Mižišin
{"title":"Renormalization group analysis of the directed percolation process: Towards a multiloop calculation of scaling functions","authors":"M. Hnatič,&nbsp;M. Kecer,&nbsp;T. Lučivjanský,&nbsp;L. Mižišin","doi":"10.1134/S0040577926060061","DOIUrl":"10.1134/S0040577926060061","url":null,"abstract":"<p> In this work, we employ a field-theoretic renormalization group approach to study a paradigmatic model of directed percolation. We focus on the perturbative calculation of the equation of state, extending the analysis to three-loop order in the expansion parameter <span>(varepsilon=4-d)</span>. We show that a large group of the necessary three-loop Feynman diagrams can be mapped onto already existing three-loop results and develop a technique to calculate the remaining—truly novel—ones. The described semianalytic procedure is further used to verify existing two-loop results. The main aim of this study is to provide an update on this ongoing work, as full three-loop calculations utilizing the described procedure are in progress. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"984 - 995"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305931","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
Chiral effective potential in four-dimensional (mathcal{N}=4) SYM theory 四维手性有效势(mathcal{N}=4) SYM理论
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060048
I. L. Buchbinder, D. I. Kazakov, A. I. Mukhaeva, D. M. Tolkachev, R. M. Iakhibbaev
{"title":"Chiral effective potential in four-dimensional (mathcal{N}=4) SYM theory","authors":"I. L. Buchbinder,&nbsp;D. I. Kazakov,&nbsp;A. I. Mukhaeva,&nbsp;D. M. Tolkachev,&nbsp;R. M. Iakhibbaev","doi":"10.1134/S0040577926060048","DOIUrl":"10.1134/S0040577926060048","url":null,"abstract":"<p> We consider four-dimensional <span>(mathcal{N}=4)</span>, <span>(SU(N))</span> super-Yang–Mills theory formulated in terms of <span>(mathcal{N}=1)</span> superfields where the leading low-energy contributions to the effective action are given by the chiral effective potential. This effective potential is calculated in the one-loop and higher-loop approximations. We show that this potential is automatically finite and proportional to the classical chiral potential. All quantum corrections are found explicitly and factored into a coefficient of the classical potential. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"961 - 970"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305941","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
Green functions with the use of the stochastic integral 绿色函数与随机积分的使用
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060085
J. Honkonen
{"title":"Green functions with the use of the stochastic integral","authors":"J. Honkonen","doi":"10.1134/S0040577926060085","DOIUrl":"10.1134/S0040577926060085","url":null,"abstract":"<p> The Euler–Maruyama approximation to the discrete-time Langevin equation with multiplicative noise is used to construct a functional representation for the generating functional of correlation and response functions. Closed loops of propagators are shown to be absent in the corresponding perturbation theory, which reproduces the results of averaging the iteration solution of the stochastic difference equation. The continuous-time generating functional is defined in terms of perturbation theory by the continuous-time limit of the ordinary integral sums of the Feynman diagrams of the discrete-time perturbation theory. Compensation terms needed to exclude graphs with self-contracted propagators due to the usual Feynman rules in the continuum case are described in terms of the normal-form representation of perturbative field theory. The generating functional for the Stratonovich interpretation is obtained as the white-noise limit of multiplicative Ornstein–Uhlenbeck process noise. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"1009 - 1025"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305932","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
Cuscuton Genesis Cuscuton创世纪
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-06-25 DOI: 10.1134/S0040577926060139
V. E. Volkova, S. A. Mironov
{"title":"Cuscuton Genesis","authors":"V. E. Volkova,&nbsp;S. A. Mironov","doi":"10.1134/S0040577926060139","DOIUrl":"10.1134/S0040577926060139","url":null,"abstract":"<p> We consider a cosmological scenario in a Cuscuton theory with an additional scalar field consisting of the Genesis stage followed by the conventional expansion epoch. We discuss the physical scope of these multicomponent theories within early-time cosmology on general grounds and address the possible issues of stability at the perturbation level. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"227 3","pages":"1074 - 1081"},"PeriodicalIF":1.0,"publicationDate":"2026-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148305987","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
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