论文标题

平面重力波和电磁背景中大量量子场的全球传播

Global propagation of massive quantum fields in the plane gravitational waves and electromagnetic backgrounds

论文作者

Andrzejewski, K., Kosinski, P.

论文摘要

研究了一般平面波段和外部,非平面,电磁波的大规模量子场的行为。分析了渐近条件,即“在”(“ OUT”)状态和横截面。据观察,尽管遇到了奇异性,但可以获得这些状态的全局形式:在奇异点,狄拉克三角洲的行为出现了,并且在通过每个奇异点后,波函数的相位均存在离散的变化。讨论了这些阶段校正与本地图表之间的关系。提供了一些无限范围波的示例(包括圆形极化的波浪),可以为其获得明确的溶液形式。所有这些结果都涉及标量和旋转一半场。在后一种情况下,研究了通用三明治波之后的自旋极化的变化。

The behavior of massive quantum fields in the general plane wave spacetime and external, non-plane, electromagnetic waves is studied. The asymptotic conditions, the "in" ("out") states and the cross sections are analysed. It is observed that, despite of the singularities encountered, the global form of these states can be obtained: at the singular points the Dirac delta-like behavior emerges and there is a discrete change of phase of the wave function after passing through each singular point. The relations between these phase corrections and local charts are discussed. Some examples of waves of infinite range (including the circularly polarized ones) are presented for which the explicit form of solutions can be obtained. All these results concern both the scalar as well as spin one-half fields; in the latter case the change of the spin polarization after the general sandwich wave has passed is studied.

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