Schwinger pair production correction in thermal system

TL;DR

This paper analyzes how Schwinger pair production is affected in thermal systems with external fields, using thermo field dynamics to compute corrections including thermal photon effects, with results for constant electric fields.

Contribution

It provides a formal framework for calculating Schwinger pair production corrections in thermal backgrounds, incorporating thermal photon effects via thermo field dynamics.

Findings

Tree level correction of thermal photons considered

Results for pair production in constant electric fields obtained

Different vacuum initial conditions analyzed

Abstract

In this paper, we give formal results of Schwinger pair production correction in thermal systems with external background field by using the evolution operator method of thermo field dynamics, where especially tree level correction of thermal photons is considered with linear response approaches by an effective mass shift. We consider initial systems in two types of vacuums as zero temperature and thermal vacuum, respectively, with correction of thermal photons is or not included. As an example we give results of these corrections to pair production for a constant external background electric field.