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Deviation of trajectories in nonrelativistic and relativistic cases and Shirokov effect 非相对论和相对论情况下的轨迹偏差及Shirokov效应
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070068
Yu. V. Pavlov, V. P. Vandeev
{"title":"Deviation of trajectories in nonrelativistic and relativistic cases and Shirokov effect","authors":"Yu. V. Pavlov,&nbsp;V. P. Vandeev","doi":"10.1134/S0040577926070068","DOIUrl":"10.1134/S0040577926070068","url":null,"abstract":"<p> We compare the deviations of circular orbits in the nonrelativistic and relativistic cases. General solutions of the deviation equations are obtained. We find the potentials for the nonrelativistic case and the metric components in general relativity for which trajectories close to circular ones are closed curves. Explicit expressions for the pericenter shift of an orbit close to a circular one in a static spherically symmetric spacetime are obtained. Estimates of the cosmological constant effect on the orbit pericenter shift are given. Finally, we find the spherically symmetric metric in which the Shirokov effect is absent. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1160 - 1173"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552891","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 way to constrain graviton mass from astronomical observations 一种从天文观测中约束引力子质量的方法
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S004057792607010X
A. F. Zakharov, P. Jovanović, D. Borka, V. Borka Jovanović
{"title":"A way to constrain graviton mass from astronomical observations","authors":"A. F. Zakharov,&nbsp;P. Jovanović,&nbsp;D. Borka,&nbsp;V. Borka Jovanović","doi":"10.1134/S004057792607010X","DOIUrl":"10.1134/S004057792607010X","url":null,"abstract":"<p> In the paper, graviton mass constraints are obtained by analyzing the trajectory of a bright star in the vicinity of the center of our Galaxy, using observations from the GRAVITY and Keck groups. Other astronomical ways to limit the graviton mass are briefly discussed. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1212 - 1224"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552892","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
Form of axion in DFSZ models with (U(1)_{PQ}) symmetry (U(1)_{PQ})对称DFSZ模型中轴子的形式
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070093
V. H. Binh, H. N. Long
{"title":"Form of axion in DFSZ models with (U(1)_{PQ}) symmetry","authors":"V. H. Binh,&nbsp;H. N. Long","doi":"10.1134/S0040577926070093","DOIUrl":"10.1134/S0040577926070093","url":null,"abstract":"<p> The physical state of the axion in the DFSZ model is determined by exact diagonalization of the mass mixing matrix in the CP-odd sector, where the Peccei–Quinn (PQ) mechanism is applied to determine the PQ charges of the model’s particles. The PQ charges of all fields are parametrized solely by the PQ charge of the singlet scalar and the mixing angle between the two neutral components of the doublet scalars. The physical forms of the axion are defined using the PQ charges of the scalars alongside the general axion parametrization. Both approaches yield consistent and physically reasonable axion states. The constraint on the PQ charge in the DFSZ- I model is also discussed. Furthermore, using an approximated axion state that retains only the imaginary component of the singlet scalar, the anomalous axion–photon–photon coupling is re-examined by utilizing the defined PQ charges of the model’s fermions. Finally, using the exact physical state, the triple couplings of the axion with two Standard Model (SM) fermions are studied, and the axion decay into a pair of photons is evaluated via the renormalizable interactions arising from the kinetic terms of the scalar fields. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1196 - 1211"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552886","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
The exotic (Y(4230)) state: Molecular structure and strong decays 奇特的(Y(4230))状态：分子结构和强衰变
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070044
Gurjav Ganbold
{"title":"The exotic (Y(4230)) state: Molecular structure and strong decays","authors":"Gurjav Ganbold","doi":"10.1134/S0040577926070044","DOIUrl":"10.1134/S0040577926070044","url":null,"abstract":"<p> We investigate the strong decays of the exotic charmonium-like <span>(Y(4230))</span> state, recently reported by the BES III Collaboration, using the covariant confined quark model. The <span>(Y)</span> state is interpreted as a four-quark state with a molecular-type interpolating current. We evaluate the hidden-charm decay width of the <span>(Y)</span> state into a vector and a scalar, with the latter subsequently decaying into a pair of charged pseudoscalar mesons. The strong decay mode <span>(Ytopi^{+}pi^{-}J/psi)</span> is studied by accounting for both the <span>(f_0(500))</span> and <span>(f_0(980))</span> scalar resonances (treated as quark-antiquark states), whereas the <span>(Yto K^{+}K^{-}J/psi)</span> mode is analyzed using the <span>(f_0(980))</span> scalar resonance. The estimated branching ratio and calculated partial widths for the strong decay of the <span>(Y(4230))</span> state are consistent with latest experimental data and can be verified in future measurements. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1138 - 1147"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552894","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
Integrable equations with negative evolution numbers 具有负演化数的可积方程
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070111
A. K. Pogrebkov
{"title":"Integrable equations with negative evolution numbers","authors":"A. K. Pogrebkov","doi":"10.1134/S0040577926070111","DOIUrl":"10.1134/S0040577926070111","url":null,"abstract":"<p> Two integrable systems are constructed in a <span>((2+1))</span>-dimensional space. Each of these systems involves two evolutions with negative numbers. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1225 - 1235"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552893","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
Nonperfect Carrollian fluids through holography 非完美卡罗流体全息成像
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070032
F. M. Diaz
{"title":"Nonperfect Carrollian fluids through holography","authors":"F. M. Diaz","doi":"10.1134/S0040577926070032","DOIUrl":"10.1134/S0040577926070032","url":null,"abstract":"<p> We embed the covariant, gauge-invariant gravitational radiation criteria of Fernández-Álvarez and Senovilla, based on conformal geometry and the Bel–Robinson tensor, into the hydrodynamic framework of gauge/gravity duality. This construction uncovers a direct correspondence between bulk gravitational waves and dissipative processes in the boundary fluid, from which a natural notion of entropy production emerges. We further analyze a smooth flat-space limit in which the dual fluid becomes Carrollian, with dissipation governed by Carroll-covariant tensors. As an example, we apply our framework to the Robinson–Trautman family of solutions. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1125 - 1137"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552885","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
Generation of mass and scalar charge of supermassive black holes via the mechanism of scalar-gravitational instability 超大质量黑洞的质量和标量电荷在标量引力不稳定机制下的产生
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070147
Yu. G. Ignat’ev
{"title":"Generation of mass and scalar charge of supermassive black holes via the mechanism of scalar-gravitational instability","authors":"Yu. G. Ignat’ev","doi":"10.1134/S0040577926070147","DOIUrl":"10.1134/S0040577926070147","url":null,"abstract":"<p> A mathematical model for the development of spherical perturbations in a cosmological medium of a scalar-charged fluid with a Higgs scalar field is investigated. The system of equations for the perturbations is decomposed into two independent subsystems. One of these, a system of ordinary differential equations, corresponds to the singular part of the perturbations and describes the evolution of the total mass and charge of a singular source, while the second—a system of partial differential equations with respect to the nonsingular parts of the perturbations—is analyzed. Exact solutions of the evolution equations for the total mass and charge near singular points of the background cosmological model are found. These solutions demonstrate the impossibility of a sufficiently rapid growth of the singular source mass at these points. Conversely, numerical integration of the evolution equations at nonsingular points of the cosmological model demonstrates the possibility of anomalously rapid growth of the singular mass (by a factor of <span>(10^{24})</span>) over times on the order of several hundred Planck times. The maximum rate of this process is achieved in models with small scalar particle charges <span>(gsim 10^{-5})</span> and small values of the effective cosmological constant. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1261 - 1281"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552884","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
Charged topological geons with a self-gravitating scalar field 具有自引力标量场的带电拓扑物理
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070081
A. N. Tsirulev
{"title":"Charged topological geons with a self-gravitating scalar field","authors":"A. N. Tsirulev","doi":"10.1134/S0040577926070081","DOIUrl":"10.1134/S0040577926070081","url":null,"abstract":"<p> We study the general properties of static, spherically symmetric, charged topological geons supported by a self-gravitating, minimally coupled scalar field with negative kinetic energy and an arbitrary self-interaction potential. In the most general case, it turns out that the gravitational mass of such a geon is completely determined by its electric charge and size (for a given scalar field), that is, the size of the corresponding wormhole throat. We discuss the properties of the charged Ellis–Bronnikov–Sorkin geon and argue that it can be considered as a possible classical model of elementary particles beyond the Standard Model, in particular, as dark matter particles. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1186 - 1195"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552882","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 properties of real quantum mechanics in Kähler Space 论Kähler空间中实量子力学的性质
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070135
I. Ya. Aref’eva, I. V. Volovich
{"title":"On the properties of real quantum mechanics in Kähler Space","authors":"I. Ya. Aref’eva,&nbsp;I. V. Volovich","doi":"10.1134/S0040577926070135","DOIUrl":"10.1134/S0040577926070135","url":null,"abstract":"<p> We investigate the isomorphism between the formulations of quantum mechanics in a finite-dimensional complex Hilbert space and in a real Kähler space. This investigation establishes a direct correspondence between Hermitian operators in the complex Hilbert space and real operators in the Kähler space. In this real formulation, we note the emergent property of spectral degeneracy. Moreover, we show that the structure of the Kähler space provides a natural description of composite systems in real quantum mechanics. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1251 - 1260"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552883","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 internal inconsistency of the Wess–Zumino model 论Wess-Zumino模型的内部不一致性
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2026-07-24 DOI: 10.1134/S0040577926070056
N. V. Krasnikov
{"title":"On the internal inconsistency of the Wess–Zumino model","authors":"N. V. Krasnikov","doi":"10.1134/S0040577926070056","DOIUrl":"10.1134/S0040577926070056","url":null,"abstract":"<p> We prove that the supersymmetric Wess–Zumino model is internally inconsistent. Our proof relies on three key assumptions. First, the structure of the counterterms in the full theory is assumed to coincide with that in perturbation theory. Second, the metric is assumed to be positive, implying the absence of ghost states in the spectrum of the model. Third, the canonical commutation relations between generalized coordinates and momenta are assumed to hold in the renormalized theory. Our results demonstrate that ghost states are inevitably present in the spectrum of the Wess–Zumino model, thereby contradicting these initial assumptions. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"228 1","pages":"1148 - 1159"},"PeriodicalIF":1.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148552890","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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