arXiv 2103.035752021-03hep-thphysics.plasm-ph

玻恩电动力学中的电磁波

Electromagnetic waves in Born Electrodynamics

Hedvika Kadlecová

备注：: This paper was merged with the paper arXiv:2107.12249. The merged paper was resubmitted as a replacement of arXiv:2107.12249

摘要：

本文在量子电动力学的玻恩-因费尔德理论框架内研究了真空中两个反向传播的电磁波。通过选择交叉场情况${\bf E}\cdot{\bf B}=0$，即$\mathfrak{G}^2=0$，玻恩-因菲尔德拉格朗日量简化为玻恩拉格朗日量，因此对于这种特殊情况，我们提出了与玻恩-因菲尔德和玻恩电动力学相同的研究。本文利用自相似解证明了非线性场方程在常波情形下的解耦性，并研究了激波的陡化。我们表明，唯一的解决方案是例外的行波解决方案，传播速度恒定，不会变成冲击。我们讨论了相移和横截面的过程中被测量连同我们提出的光子-光子散射\cite{KadlecovaKornBulanov2019,KadlecovaMine2019}的直接检测。这项工作作为一个初步的研究，对分析波在更一般的情况下，在Born-Infeld理论。

英文摘要：

We study two counter--propagating electromagnetic waves in the vacuum within the framework of the Born--Infeld theory in quantum electrodynamics. By choosing the crossed field case ${\bf E}\cdot{\bf B}=0$, i.e. $\mathfrak{G}^2=0$, the Born--Infeld Lagrangian reduces to the Born Lagrangian, therefore for this special case we present study which is identical for the Born--Infeld and the Born electrodynamics. In this paper, we show that the non--linear field equations decouple for ordinary wave case using self-similar solutions and we investigate the shock wave steepening. We show that the only solutions are exceptional traveling wave solutions which propagate with constant speed and which do not turn into shocks. We discuss the phase shift and the cross section of the process to be measured together with the our proposed direct detection of the photon--photon scattering \cite{KadlecovaKornBulanov2019,KadlecovaMine2019}. This work serves as a preliminary study towards analyzing the waves in the more general case in the Born--Infeld theory.

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。

摘要：

英文摘要：

相关论文