论文标题
通过时间依赖的电场对真空对生产的确切WKB分析
Exact WKB analysis of the vacuum pair production by time-dependent electric fields
论文作者
论文摘要
我们根据精确的WKB分析，通过时间依赖性强电场来研究真空对的生产。我们确定具有真空对生产的系统的Stokes图的通用结构，并表明生产对的数量由连接矩阵的stokes seggments seggments of Connection Connection connect of Conting Points提供。假设半古典限制，我们为生产对数的数量提供了一个明确的公式。获得的公式可以理解为贝瑞（Berry）对发散渐近系列方法的概括，并且与其他半古典方法一致，例如Brezin and Izykson所做的Bogoliubov系数的最陡峭下降评估。我们还使用该公式来讨论应用强电场的时间依赖性的效果，包括扰动多光子对生产与非驱动schwinger机制之间的相互作用，以及动态辅助的Schwinger机制。
We study the vacuum pair production by a time-dependent strong electric field based on the exact WKB analysis. We identify the generic structure of a Stokes graph for systems with the vacuum pair production and show that the number of produced pairs is given by a product of connection matrices for Stokes segments connecting pairs of turning points. We derive an explicit formula for the number of produced pairs, assuming the semi-classical limit. The obtained formula can be understood as a generalization of the divergent asymptotic series method by Berry, and is consistent with other semi-classical methods such as the worldline instanton method and the steepest descent evaluation of the Bogoliubov coefficients done by Brezin and Izykson. We also use the formula to discuss effects of time-dependence of the applied strong electric field including the interplay between the perturbative multi-photon pair production and non-peturbative Schwinger mechanism, and the dynamically assisted Schwinger mechanism.
