Abstract

The effective Lagrangian is derived and a group of hidden symmetries is determined for Maxwell’s theory with an axion in the stationary case. The general harmonic solution is constructed, and it is shown that a central source can have only a Coulomb-type magnetic field. The electric field of such a source has a complex potential, which can be finite everywhere with a special choice of parameters. The differential scattering cross section of the test particle on a dione with an axionic charge is calculated within the first order of the perturbation theory.

中文翻译：

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轴的麦克斯韦电动力学方程的对称性和一般调和解

摘要

得出有效的拉格朗日算式，并为麦克斯韦理论确定了一组隐藏的对称性，其中在固定情况下带有轴。构造了一般的谐波解决方案，并且表明中心源只能具有库仑型磁场。这种源的电场具有复杂的电势，通过特殊的参数选择，该电势在任何地方都是有限的。在微扰理论的一级范围内，计算了带有二轴电荷的二酮上测试颗粒的微分散射截面。