Schwinger pair creation with the backreaction in 3 + 1 dimensions

TL;DR

This paper investigates Schwinger pair creation in 3+1 dimensions, incorporating backreaction effects through a thermodynamic and dynamical mean-field approach, with numerical analysis demonstrating the influence of external electric fields.

Contribution

It introduces a novel dynamical mean-field method to analyze backreaction effects in Schwinger pair creation within 3+1 dimensional QED.

Findings

Backreaction significantly affects pair creation rates.

External electric fields influence the pair creation process.

Numerical results illustrate the dynamic response of the system.

Abstract

In this work, I analyze the structure of the QED spacetime lattice and review the Schwinger pair creation process from a thermodynamic point of view. This viewpoint enables the dynamical mean-field calculation for the 3 + 1 dimensional Schwinger pair creation with the backreaction. As an example, I demonstrate how to evaluate the pair creation in a finite volume with external electric fields turned on at $t = 0$. The numerical results show how the backreaction responds to the external fields and influences the pair creation.