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arXiv 0803.3304hep-th
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偶维时空中的电磁辐射

Electromagnetic radiation in even-dimensional spacetimes

B. P. Kosyakov

摘要:

本文简要地回顾了任意偶数维平坦时空中Maxwell-Lorentz电动力学的基本概念和数学结构$d=2n$。我们表明,由于一个点电荷生活在一个$2n$维世界的延迟场强${\cal F}^{(2n)}_{μν}$可以代数表示为延迟矢量势${\cal A}^{(2m)}_μ$,这个电荷产生的,好像它是容纳在附近的$2m$维世界,$2\le m\le n+1$。有了这个发现,电磁场的辐射能量-动量的比率就有了一个紧凑的形式。

英文摘要:

The basic concepts and mathematical constructions of the Maxwell--Lorentz electrodynamics in flat spacetime of an arbitrary even dimension $d=2n$ are briefly reviewed. We show that the retarded field strength ${\cal F}^{(2n)}_{μν}$ due to a point charge living in a $2n$-dimensional world can be algebraically expressed in terms of the retarded vector potentials ${\cal A}^{(2m)}_μ$ generated by this charge as if it were accommodated in $2m$-dimensional worlds nearby, $2\le m\le n+1$. With this finding, the rate of radiated energy-momentum of the electromagnetic field takes a compact form.

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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