Stability analysis of non-Abelian electric fields

TL;DR

This paper investigates the stability of homogeneous non-Abelian electric fields, identifying conditions for stability and discussing implications for confining strings in gauge theories.

Contribution

It provides a stability analysis of non-Abelian electric fields, highlighting parameter regimes with no instabilities and potential implications for gauge theory confinement.

Findings

Identified unstable modes in non-Abelian electric fields

Found parameter regimes with no instabilities

Discussed implications for confining strings

Abstract

We study the stability of fluctuations around a homogeneous non-Abelian electric field background that is of a form that is protected from Schwinger pair production. Our analysis identifies the unstable modes and we find a limiting set of parameters for which there are no instabilities. We discuss potential implications of our analysis for confining strings in non-Abelian gauge theories.