论文标题

在时空依赖性领域中,施温格对生产的动量谱系的全球激体款

Worldline instantons for the momentum spectrum of Schwinger pair production in space-time dependent fields

论文作者

Esposti, Gianluca Degli, Torgrimsson, Greger

论文摘要

我们展示了如何使用世界范围内部形式主义来计算由电场产生的电子 - 峰值对的动量光谱,该电场依赖于空间和时间。使用LSZ还原公式与时空场中传播器的全球表示形式,我们利用鞍点方法获得了成对产生频谱的半经典近似。为了检查最终结果,我们整合了频谱并与使用先前的intsanton方法获得的结果进行比较,以进行有效动作的假想部分。

We show how to use the worldline-instanton formalism to calculate the momentum spectrum of the electron-positron pairs produced by an electric field that depends on both space and time. Using the LSZ reduction formula with a worldline representation for the propagator in a spacetime field, we make use of the saddle-point method to obtain a semiclassical approximation of the pair-production spectrum. In order to check the final result, we integrate the spectrum and compare with the results obtained using a previous instanton method for the imaginary part of the effective action.

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