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(Omega)-Spectrum in topological phases (Omega)-拓扑相的谱
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-04-25 DOI: 10.1134/S0040577925040026
E. A. Teplyakov
{"title":"(Omega)-Spectrum in topological phases","authors":"E. A. Teplyakov","doi":"10.1134/S0040577925040026","DOIUrl":"10.1134/S0040577925040026","url":null,"abstract":"<p> Symmetry-protected topological phases are an active field of research in condensed matter physics. The classification of symmetry-protected topological phases is an important problem in mathematics and theoretical physics. In this paper, a direct approach based on the use of methods of homotopy theory and the theory of infinite loop spaces is proposed to describe the <span>(Omega)</span>-spectra and the generalized cohomology theories arising in the classification of topological phases. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"223 1","pages":"548 - 555"},"PeriodicalIF":1.0,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143875290","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
Evolution of spherical perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid 希格斯标量场和理想标量带电流体的宇宙学环境中球面微扰的演化
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-04-25 DOI: 10.1134/S0040577925040087
Yu. G. Ignat’ev
{"title":"Evolution of spherical perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar charged fluid","authors":"Yu. G. Ignat’ev","doi":"10.1134/S0040577925040087","DOIUrl":"10.1134/S0040577925040087","url":null,"abstract":"<p> A mathematical model of the evolution of spherical perturbations in an ideal cosmological scalar-charged fluid coupled to the Higgs field is constructed. A closed mathematical model of linear spherical perturbations in a cosmological medium of a scalar-charged ideal fluid with scalar Higgs interaction is formulated. It is shown that spherical perturbations of the Friedmann metric are possible only in the presence of an isotropic fluid. At singular points of the background cosmological model, perturbations of the metric do not occur and perturbations are described by a vacuum-field model. Exact solutions are obtained at singular points of the cosmological system; the scalar field perturbations are shown to be traveling waves in the case of a stable singular point of the cosmological system and exponentially growing standing waves in the case of an unstable singular point. Using numerical modeling, the formation of a stratified halo in the form of growing standing waves is shown. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"223 1","pages":"636 - 649"},"PeriodicalIF":1.0,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143875333","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
Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation 非等谱变系数Kadomtsev-Petviashvili方程的Cauchy矩阵方法
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030031
Zhen Zhou, Xinyuan Zhang, Tong Shen, Chunxia Li
{"title":"Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation","authors":"Zhen Zhou,&nbsp;Xinyuan Zhang,&nbsp;Tong Shen,&nbsp;Chunxia Li","doi":"10.1134/S0040577925030031","DOIUrl":"10.1134/S0040577925030031","url":null,"abstract":"<p> Cauchy matrix approach is developed to construct the nonisospectral and variable-coefficient equations and study their integrability. We derive the nonisospectral and variable-coefficient Kadomtsev–Petviashvili ( n-vcKP) equation, which includes the standard KP equation and the nonisospectral and variable-coefficient KdV equation as special cases. The connection of the <span>(tau)</span> function of the n-vcKP equation with the Cauchy matrix approach is clarified. The Lax pair for the n-vcKP equation is derived in a systematic way. Two types of exact solutions are found by solving the corresponding Sylvester equation. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"401 - 413"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688532","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
Heterogeneity effect in the statistical analysis of plasma density 等离子体密度统计分析中的异质性效应
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030080
N. S. Arkashov, V. A. Seleznev
{"title":"Heterogeneity effect in the statistical analysis of plasma density","authors":"N. S. Arkashov,&nbsp;V. A. Seleznev","doi":"10.1134/S0040577925030080","DOIUrl":"10.1134/S0040577925030080","url":null,"abstract":"<p> A sample of plasma density values in a thermonuclear facility is studied. On the basis of discrete analogues of heterogeneous processes and memory flow phenomenology, we construct a class of stochastic processes modeling space–time nonlocality taking the spatial heterogeneity into account. A methodology for processing experimental data is proposed that allows establishing a correspondence between this sample of plasma density values and the class of stochastic processes. A physical interpretation of the nonlocality parameters and the heterogeneity parameter is described. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"483 - 496"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688530","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 correlators in (Toverline{T})-deformed conformal field theories 论(Toverline{T}) -变形共形场理论中的相关器
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030055
D. D. Menskoy
{"title":"On correlators in (Toverline{T})-deformed conformal field theories","authors":"D. D. Menskoy","doi":"10.1134/S0040577925030055","DOIUrl":"10.1134/S0040577925030055","url":null,"abstract":"<p> We consider the effect of <span>(T kern0.9ptoverline{vphantom{T}kern6.0pt}kern-6.9pt T )</span>-deformations in conformal field theories within the perturbation theory. A dimensional regularization scheme is used for a perturbative calculation of the contribution of the <span>(T kern0.9ptoverline{vphantom{T}kern6.0pt}kern-6.9pt T )</span>-deformation to the correlation functions of primary fields of conformal field theory. Renormalization of fields in the case of a two-point correlation function is presented. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"432 - 452"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688527","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
A direct method for solving Lax equations 求解Lax方程的直接方法
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S004057792503002X
Ying-ying Sun, Benqin Liu
{"title":"A direct method for solving Lax equations","authors":"Ying-ying Sun,&nbsp;Benqin Liu","doi":"10.1134/S004057792503002X","DOIUrl":"10.1134/S004057792503002X","url":null,"abstract":"<p> The integrable <span>((1+1))</span>-dimensional Lax equations and their various exact solutions, including multisoliton solutions, can be derived by a straightforward algebraic procedure. This method starts with a specific case of the Sylvester equation, eliminating the necessity of introducing an initial value problem. The Lax equation, along with its modified and Schwarzian forms, is constructed using elements present in the Sylvester equation, allowing the exact solutions to be expanded in terms of the solutions of the Sylvester equation. In particular, we obtain the Lax pair for the Lax equation by this direct approach and analyze its soliton solutions asymptotically. Furthermore, we extend the dispersion relations associated with the Lax equation and formulate the <span>((2+1))</span>-dimensional C-type Kadomtsev–Petviashvili equation, along with its novel solutions. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"383 - 400"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688535","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
Erratum to: Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson 对两个实标量场和希格斯玻色子的一般标量势的下边界条件的勘误
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030110
Yisheng Song, Liqun Qi
{"title":"Erratum to: Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson","authors":"Yisheng Song,&nbsp;Liqun Qi","doi":"10.1134/S0040577925030110","DOIUrl":"10.1134/S0040577925030110","url":null,"abstract":"","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"522 - 523"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688492","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
Collective transformations of quantum states with postselection and their application to quantum cryptography 后选择量子态的集体变换及其在量子密码学中的应用
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030109
I. A. Zhigalskii, D. A. Kronberg
{"title":"Collective transformations of quantum states with postselection and their application to quantum cryptography","authors":"I. A. Zhigalskii,&nbsp;D. A. Kronberg","doi":"10.1134/S0040577925030109","DOIUrl":"10.1134/S0040577925030109","url":null,"abstract":"<p> Quantum cryptography allows providing the provable secrecy of distributed cryptographic keys based on fundamental no-go theorems of quantum mechanics. At the same time, some practical limitations of legitimate users can be a potential threat to the security of quantum cryptography protocols. One of the practical difficulties is the use of multiphoton pulses instead of single-photon states. In this paper, we show how the eavesdropper can use multiphoton messages to construct the effective eavesdropping strategy for a quantum cryptography protocol with phase–time coding. This allows obtaining the entire key in the presence of four photons in the pulse instead of five, as was assumed previously. We show that the advantage is achieved due to collective actions with multiphoton messages rather than individual transformations of each photon. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"511 - 521"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688531","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
Solutions of a generalized constrained discrete KP hierarchy 广义约束离散KP层次的解
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030043
Xuepu Mu, Mengyao Chen, Jipeng Cheng, Jingsong He
{"title":"Solutions of a generalized constrained discrete KP hierarchy","authors":"Xuepu Mu,&nbsp;Mengyao Chen,&nbsp;Jipeng Cheng,&nbsp;Jingsong He","doi":"10.1134/S0040577925030043","DOIUrl":"10.1134/S0040577925030043","url":null,"abstract":"<p> Solutions of a generalized constrained discrete KP (gcdKP) hierarchy with the constraint <span>(L^k=(L^k)_{geq m}+sum_{i=1}^lq_iDelta^{-1}Lambda^mr_i)</span> on the Lax operator are investigated by Darboux transformations <span>(T_D(f)=f^{[1]}cdotDeltacdot f^{-1})</span> and <span>(T_I(g)=(g^{[-1]})^{-1}cdotDelta^{-1}cdot g)</span>. Due to the special constraint on the Lax operator, it can be shown that the generating functions <span>(f)</span> and <span>(g)</span> of the corresponding Darboux transformations can only be chosen from (adjoint) wave functions or <span>((L^k)_{&lt;m}=sum_{i=1}^lq_iDelta^{-1}Lambda^mr_i)</span>. We discuss successive application of Darboux transformations for the gcdKP hierarchy. Solutions of the gcdKP hierarchy are obtained from <span>(L^{{0}}=Lambda)</span> by Darboux transformations, with a method that is highly nontrivial due to the special constraint on the Lax operator. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"414 - 431"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688533","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
Generalized universal characters, generalized B-type universal characters, and generalized symplectic universal characters 广义泛字，广义b型泛字，广义辛泛字
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-03-25 DOI: 10.1134/S0040577925030018
Denghui Li, Zhaowen Yan
{"title":"Generalized universal characters, generalized B-type universal characters, and generalized symplectic universal characters","authors":"Denghui Li,&nbsp;Zhaowen Yan","doi":"10.1134/S0040577925030018","DOIUrl":"10.1134/S0040577925030018","url":null,"abstract":"<p> We discuss the construction of the vertex operator realizations of generalized universal characters, generalized B-type universal characters, and generalized symplectic universal characters. By applying a series of vertex operators to the constant function <span>(1)</span>, the generating functions of the three symmetric functions are obtained. Furthermore, we investigate three hierarchies respectively satisfied by the three generalized universal characters. In view of the algebraic structure of the three symmetric functions, the generalized universal characters and generalized symplectic universal characters can be expressed in the form related to fermion vacuum expectation values. In addition, a novel boson–fermion correspondence is established. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 3","pages":"357 - 382"},"PeriodicalIF":1.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143688534","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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