Stability of Classical Chromodynamic Fields -- Addendum

TL;DR

This paper systematically analyzes the stability of classical chromodynamic fields in heavy-ion collisions, extending previous work to include parallel fields, general non-Abelian configurations, and gauge dependence considerations.

Contribution

It extends prior linear stability analysis to include parallel fields, general non-Abelian configurations, and gauge dependence in the study of classical chromodynamic field stability.

Findings

Identified conditions for stability and instability in parallel chromoelectric and chromomagnetic fields.

Extended analysis to non-Abelian uniform field configurations.

Discussed the gauge dependence of the stability results.

Abstract

A system of chromodynamic fields, which can be treated as classical, is generated at the earliest stage of relativistic heavy-ion collisions. Numerical simulations show that the system is unstable but the nature of the instability is not well understood. We study the problem systematically. In the first paper, we have performed a linear stability analysis of space-time uniform chromoelectric and chromomagnetic fields. There they have been considered the Abelian configurations of single-color potentials linearly depending on coordinates and nonAbelian ones where the fields are generated by the multi-color non-commuting uniform potentials. Here we extend and supplement the analysis. We discuss the parallel chromoelectric and chromomagnetic fields which occur simultaneously. We also consider a general nonAbelian configurations of the uniform fields. Finally, we discuss the gauge dependence of our results.