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arXiv 2201.03906hep-th
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施温格效应与匀加速观测器

Schwinger effect and a uniformly accelerated observer

Shagun Kaushal

摘要:

本文从匀加速观测者和Rindler观测者的角度研究了背景电场和磁场均为恒定强度的费米子的Schwinger效应。在封闭形式下求解了Dirac方程,并在$(3+1)$维Rindler时空中实现了场的量子化.得到了因果不连通的右楔和左楔的正交局部进出模以及它们之间的Bogoliubov关系。其次,构造了覆盖整个时空的整体模,得到了局部和整体算符之间的Bogoliubov关系,利用它们得到了整体真空的压缩态展开,从而得到了产生粒子的谱,很明显,在这种情况下产生粒子有两个来源--Schwinger效应和Unruh效应.我们的主要目的是研究背景电磁场的强度对产生的粒子的光谱的作用。我们还非常简要地讨论了这个结果在量子纠缠的背景下的一些可能的含义。

英文摘要:

This article investigates the Schwinger effect for fermions with background electric and magnetic fields of constant strengths from the point of view of a uniformly accelerated or the Rindler observer. The Dirac equation is solved in a closed form, and the field quantisation in the $(3+1)$-dimensional Rindler spacetime is performed. The orthonormal local in and out modes for the causally disconnected right and left wedges and the Bogoliubov relations between them are obtained. Next, the global modes are constructed to cover the whole spacetime, and the Bogoliubov relationship between the local and global operators is found. Using them the squeezed state expansion of the global vacuum in terms of local states is acquired and accordingly, the spectra of created particles is found. Clearly, there are two sources of particle creation in this scenario -- the Schwinger as well as the Unruh effects. Our chief aim is to investigate the role of the strength of the background electromagnetic fields on the spectra of created particles. We also discuss very briefly some possible implication of this result in the context of quantum entanglement.

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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