Remarks on Schwinger Pair Production by Charged Black Holes

TL;DR

This paper presents a canonical method for calculating pair production rates in electromagnetic fields, including near charged black holes, providing accurate formulas and clarifying terminology.

Contribution

It introduces a new canonical approach applicable to inhomogeneous fields and charged black holes, improving accuracy in pair production rate calculations.

Findings

Canonical method yields pair-production rates for inhomogeneous fields.

Instanton action with corrections provides accurate pair-production formulas.

Application to charged black holes clarifies pair production mechanisms.

Abstract

We introduce a canonical method for pair production by electromagnetic fields. The canonical method in the space-dependent gauge provides pair-production rate even for inhomogeneous fields. Further, the instanton action including all corrections leads to an accurate formula for the pair-production rate. We discuss various aspects of the canonical method and clarify terminology for pair production. We study pair production by charged black holes first by finding states of the field equation that describe pair production and then by applying the canonical method.