Semiclassical pair production rate for time-dependent electrical fields with more than one component: WKB-approach and world-line instantons

摘要

We present an analytic calculation of the semiclassical electron–positron pair creation rate by time-dependent electrical fields. We use two methods, first the imaginary time method in the WKB-approximation and second the world-line instanton approach. The analytic tools for both methods are generalized to time-dependent electric fields with more than one component.