论文标题
雪松效应和均匀加速的观察者
Schwinger effect and a uniformly accelerated observer
论文作者
论文摘要
本文从统一加速或rindler观察者的角度研究了带有恒定强度的背景电场和磁场的schwinger效应。 DIRAC方程以封闭形式求解,并且在$(3+1)$ - 尺寸的Rindler SpaceTime中的字段量化。可因果关系左右楔形的局部局部内外局部和外部模式以及它们之间的Bogoliubov关系。接下来,构建了全球模式以覆盖整个时空,并发现本地和全球运营商之间的Bogoliubov关系。使用它们,根据局部状态获得了全球真空的挤压状态扩展,因此,发现了创建的颗粒的光谱。显然,在这种情况下,粒子创造的来源有两个来源 - 雪松和未造成效果。我们的主要目的是研究背景电磁场强度在创建颗粒的光谱上的作用。我们还在量子纠缠的背景下非常简短地讨论了这种结果的一些可能的含义。
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.