# Massless quark production in chromoelectric field with back reaction

## TL;DR

This paper investigates massless quark production in a chromoelectric field considering back reaction effects, revealing increased quark yield and a momentum gap related to confinement phenomena.

## Contribution

It introduces a covariant single-time Wigner function approach to analyze back reaction effects in quark production within an SU(2) gauge field, highlighting new phenomena.

## Key findings

- Quark yield is higher with back reaction than in Bjorken expansion.
- A momentum gap indicating confinement appears in the distribution.
- Components of the Wigner function are qualitatively analyzed for better understanding.

## Abstract

We study the massless quark production in $SU(2)$ gauge chromoelectric field by single-time Wigner function covariantly with back reaction. The evolution of field and current are investigated. For a phenomenological distribution function, both the time and momentum dependence have been studied. Interesting phenomena are found, which are: when considering the back reaction, the yield of quark production is higher than the Bjorken expanding field, and momentum 'gap' with confinement phenomenon exists in the phenomenological distribution function. To have a better understanding on the phenomena, components of the Wigner function are qualitatively analyzed.