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Anomalous magnetic moment of an electron in a constant magnetic field in (2 + 1)-dimensional quantum electrodynamics
Physical Review D - Particles, Fields, Gravitation and Cosmology. 2018. Vol. 97. No. 9. P. 095019-1–095019-10.
Eminov P. A.
The anomalous magnetic moment (AMM) for excited states of an electron in a constant magnetic field has been calculated within the framework of two-dimensional electrodynamics. The analytical results for the interaction energy of the anomalous magnetic moment with the external magnetic field are obtained in two limiting cases of nonrelativistic and relativistic energy values in a comparatively weak magnetic field. It is shown that the interaction energy of the spin with the external field does not contain infrared divergence and tends to zero as magnetic field decreases, while the electron’s AMM increases logarithmically.
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Гущина В. А., / Series chemrxiv-2023-vpzhz-v2 "ChemRxiv". 2023.
All-inorganic perovskite CsPbBr3 and Cs4PbBr6 nanoparticles are being intensively studied due to their unique properties and wide range of applications; however, however, the nature of their optical properties is not yet fully understood due to the difficulty of synthesis of singlephase nanoparticles. In this article we describe the features of the synthesis of single-phase particles ...
Added: May 14, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Medvedev V., / Series arXiv "math". 2026.
We investigate the interplay between the dimension of the space of static potentials and the geometric and topological structure of the underlying static three-manifold. A partial classification of boundaryless static manifolds is obtained in terms of this dimension. We also treat the case of static manifolds with boundary. In particular, we prove that if a ...
Added: April 3, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Kolesnikov A., / Series arXiv "math". 2025.
We study Blaschke--Santal{ó}-type inequalities for N>=2 sets (functions) and a special class of cost functions. In particular, we prove new results about reduction of the maximization problem for the Blaschke--Santal{ó}-type functional to homogeneous case (functional inequalities on the sphere) and extend the symmetrization argument to the case of N>2 sets.
We also discuss links to the ...
Added: February 13, 2026
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Gaianov N., Parusnikova A., / Cornell University. Серия math "arxiv.org". 2025.
An algebraic q-difference equation is considered. A sufficient condition for the existence of a formal power-logarithmic expansion of a solution to such an equation in the neighborhood of zero is proposed. An example of applying this sufficient condition for constructing a formal expansion of a solution to a certain q-difference analogue of the fifth Painlevé equation ...
Added: December 25, 2025
Aaij R., Abdelmotteleb A. S., Abellan Beteta C. et al., Physical Review Letters 2024 Vol. 133 No. 13 Article 131902
A study of resonant structures in and 𝐵+→𝐷*−𝐷+𝐾+ decays is performed, using proton-proton collision data at center-of-mass energies of √𝑠 =7, 8, and 13 TeV recorded by the LHCb experiment, corresponding to an integrated luminosity of 9 fb−1. A simultaneous amplitude fit is performed to the two channels with contributions from resonances decaying to 𝐷*−𝐷+ and 𝐷*+𝐷− states linked by 𝐶 parity. This procedure allows the 𝐶 parities of resonances in ...
Added: December 6, 2024
Makhov I., Ivanov K., Moiseev E. et al., Nanomaterials 2023 Vol. 13 No. 5 Article 877
One-state and two-state lasing is investigated experimentally and through numerical simulation
as a function of temperature in microdisk lasers with Stranski–Krastanow InAs/InGaAs/GaAs
quantum dots. Near room temperature, the temperature-induced increment of the ground-state
threshold current density is relatively weak and can be described by a characteristic temperature
of about 150 K. At elevated temperatures, a faster (super-exponential) increase in ...
Added: April 25, 2023
Makhov I., Ivanov K., Moiseev E. et al., Photonics 2023 Vol. 10 No. 3 Article 235
The two-state lasing phenomenon, which manifests itself in simultaneous laser emission
through several optical transitions of quantum dots, is studied in microdisk diode lasers with
different cavity diameters. The active region represents a multiply stacked array of self-organized
InAs/InGaAs/GaAs quantum dots emitting in the wavelength range of 1.1–1.3 um. Two-state
lasing, which involves the ground-state and the first excited-state ...
Added: April 25, 2023
Denis A. Grachev, Mikhailov E., Zhikhareva E., Open Astronomy 2023 Vol. 32 No. 1 Article 2022021
Magnetic fields of various astrophysical objects
are described using the dynamo mechanism. Corresponding
equations in the three-dimensional case are quite difficult
to be solved. So, the two-dimensional models can be useful
for such problems. For galactic and accretion discs, it is
convenient to use the no-z approximation. The initial conditions
for the magnetic field have a special interest. It
seems that the ...
Added: March 9, 2023
Bogoslovskiy N. A., Петров П. В., Аверкиев Н. С., Письма в Журнал экспериментальной и теоретической физики 2021 Т. 114 № 5-6(9) С. 383–390
A model of an impurity system in semiconductors consisting of spins randomly distributed in space with a hydrogen-like distance dependence of the exchange energy in the Ising Hamiltonian has been studied. The distribution function of the exchange energy and the mean square of the magnetic moment have been calculated as functions of the concentration. It ...
Added: November 8, 2022
Сальников А. М., Степанова И. Э., Гудкова Т. В. et al., Доклады Российской академии наук. Науки о Земле 2021 Т. 499 № 1 С. 54–59
Построена аналитическая модель магнитного поля над участком поверхности Марса в юго-западной части равнины Элизий по спутниковым данным с помощью модифицированных S-аппроксимаций в рамках структурно-параметрического подхода. Представлены аналитические продолжения магнитного поля Марса вниз на различные расстояния, в том числе на поверхность планеты. ...
Added: October 29, 2022
Makhov I., Бекман А. А., Кулагина М. М. et al., Письма в Журнал технической физики 2022 Т. 48 № 12 С. 40–43
В широком диапазоне инжекционных токов исследованы спектральные зависимости интенсивности электролюминесценции микродискового лазера диаметром 31 μm с активной областью на основе квантовых точек InAs/InGaAs, работающего в непрерывном режиме генерации. Впервые в инжекционном микродисковом лазере продемонстрирована генерация одновременно через основное и возбужденное состояния квантовых точек при высоких уровнях накачки. При слабых уровнях накачки лазерная генерация протекает через ...
Added: July 5, 2022
Gorban A., Мольков С. В., Цыганков С. С. et al., Письма в Астрономический журнал 2022 Т. 48 № 4 С. 279–289
The results of the broadband spectral and timing study of the transient X-ray pulsar GRO J2058+42 in a wide energy range at a low luminosity Lx ≃ 2.5 × 10^36 erg s^−1 are reported. The data revealed that the pulse profile and pulse fraction of the source are significantly changed in comparison with previous NuSTAR ...
Added: June 16, 2022