论文标题
在不均匀领域的有效行动的复兴
Resurgence of the Effective Action in Inhomogeneous Fields
论文作者
论文摘要
我们展示了背景字段不均匀性如何改变有效作用的非扰动结构。 Euler-Heisenberg的简单borel杆有效作用成为分支点，并出现了新的分支点，表明新的非扰动效应。该信息在扰动弱场的扩展中重新介绍，对于强烈的不均匀场而言，它具有物理上的意义。我们还表明，复兴的外推方法允许从相对适量的扰动输入中解码出人意料的非扰动信息，从而使从弱场到强场上的精确分析延续以及在空间依赖的磁性背景中的准确分析延续到时间依赖于时间依赖的电力背景。这些外推远优于标准WKB和局部恒定场近似。
We show how background field inhomogeneities modify the non-perturbative structure of the effective action. The simple Borel poles of the Euler-Heisenberg effective action become branch points, and new branch points also appear, indicating new non-perturbative effects. This information is resurgently encoded in the perturbative weak field expansion, and becomes physically significant for strongly inhomogeneous fields. We also show that resurgent extrapolation methods permit the decoding of a surprising amount of non-perturbative information from a relatively modest amount of perturbative input, enabling accurate analytic continuations from weak field to strong field, and of a spatially dependent magnetic background to a time dependent electric background. These extrapolations are far superior to standard WKB and locally constant field approximations.
