测量的斯基姆-麦克斯韦模型中的孤子

IF 0.9 3区物理与天体物理 Q2 MATHEMATICS

Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2023-01-30 DOI:10.3842/SIGMA.2023.042

L. R. Livramento, E. Radu, Y. Shnir

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引用次数: 1

摘要

我们考虑了带有π介子质量项的U（1）规范Skyrme模型的孤立子解。规范Skyrmions的存在域受到π介子质量值的限制。集中于拓扑度为1的解，我们发现与电磁场的耦合破坏了配置的对称性，Skyrmions携带电荷和磁通，并具有感应偶极磁矩。Skyrmions还具有角动量，该角动量以电荷为单位进行量化。规范Skyrmions的质量随着规范耦合的增加而单调减小。

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Solitons in the Gauged Skyrme-Maxwell Model

We consider soliton solutions of the U(1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree one, we find that coupling to the electromagnetic field breaks the symmetry of the configurations, the Skyrmions carrying both an electric charge and a magnetic flux, with an induced dipole magnetic moment. The Skyrmions also possess an angular momentum, which is quantized in the units of the electric charge. The mass of the gauged Skyrmions monotonically decreases with increase of the gauge coupling.

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来源期刊

Symmetry Integrability and Geometry-Methods and Applications 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Scope Geometrical methods in mathematical physics Lie theory and differential equations Classical and quantum integrable systems Algebraic methods in dynamical systems and chaos Exactly and quasi-exactly solvable models Lie groups and algebras, representation theory Orthogonal polynomials and special functions Integrable probability and stochastic processes Quantum algebras, quantum groups and their representations Symplectic, Poisson and noncommutative geometry Algebraic geometry and its applications Quantum field theories and string/gauge theories Statistical physics and condensed matter physics Quantum gravity and cosmology.