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arXiv 1201.4935hep-thmath-phmath.MP
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轴子电动力学场方程的对称性与解

Symmetries and solutions of field equations of axion electrodynamics

A. G. Nikitin, Oksana Kuriksha

摘要:

对具有任意自相互作用的轴子电动力学模型进行了分类。结果表明,这些模型的基本庞加莱不变性的扩展只出现在常数和指数的相互作用。讨论了相关的守恒律。利用Inönü-Wigner压缩,找到了轴子电动力学方程的非相对论极限,得到了电磁场和轴子场的一类推广的精确解。其中有解决方案,包括多达六个任意功能。特别地,我们找到了描述以比光速更快的速度传播的解,这些解是光滑的有界函数,对应于正定的有界能量密度。

英文摘要:

The group classification of models of axion electrodynamics with arbitrary self interaction of axionic field is carried out. It is shown that extensions of the basic Poincaré invariance of these models appear only for constant and exponential interactions. The related conservation laws are discussed. Using the Inönü-Wigner contraction the non-relativistic limit of equations of axion electrodynamics is found. An extended class of exact solutions for the electromagnetic and axion fields is obtained. Among them there are solutions including up to six arbitrary functions. In particular, solutions which describe propagation with velocities faster than the velocity of light are found. These solutions are smooth and bounded functions which correspond to positive definite and bounded energy density.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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