Abstract

An analytic equation for the anomalous magnetic moment of an electron in a static magnetic field in the topologically massive 2D electrodynamics is obtained in the single-loop approximation. The asymptotic expressions describing the dependence of the anomalous magnetic moment on the dimensionless Chern–Simons parameter and the dynamic field parameter are determined in the limiting case of a relatively weak magnetic field. The applicability conditions for the results of calculations of the anomalous electron magnetic moment based on the evaluation of the vertex function in the 2D electrodynamics with the Chern–Simons term are established.

中文翻译：

---

拓扑大规模二维电动力学中静态磁场中电子的异常磁矩

摘要

通过单环近似，可以得到在拓扑大规模二维电动力学中静态磁场中电子的异常磁矩的解析方程。在磁场相对弱的极限情况下，确定了描述异常磁矩对无量纲的Chern-Simons参数和动态磁场参数的依赖性的渐近表达式。建立了以Chern–Simons项为基础的二维电动力学中顶点函数的评估为基础的异常电子磁矩计算结果的适用条件。