Formulation of the Schwinger mechanism in classical statistical field theory

TL;DR

This paper demonstrates how classical statistical field theory methods can be used to numerically evaluate the non-perturbative Schwinger mechanism of particle production, including effects like back-reaction and self-interactions.

Contribution

It introduces a novel approach using classical statistical field theory techniques to efficiently simulate the Schwinger mechanism and related back-reaction effects.

Findings

Efficient numerical evaluation of the Schwinger mechanism.

Inclusion of back-reaction and self-interactions in simulations.

Validation of classical statistical methods for non-perturbative quantum phenomena.

Abstract

In this paper, we show how classical statistical field theory techniques can be used to efficiently perform the numerical evaluation of the non-perturbative Schwinger mechanism of particle production by quantum tunneling. In some approximation, we also consider the back-reaction of the produced particles on the external field, as well as the self-interactions of the produced particles.