Non-Abelian Collective Excitations in Unlinearized Quark-Gluon Plasma Media

TL;DR

This paper investigates how unlinearized media influence collective excitations in quark-gluon plasma, revealing two types of non-Abelian oscillations with distinct nonlinear couplings and frequency shifts.

Contribution

It introduces two non-Abelian oscillation solutions in quark-gluon plasma, highlighting differences between weakly and strongly nonlinear couplings and their effects on frequencies.

Findings

Identification of two non-Abelian oscillation types

Weakly nonlinear solution resembles Abelian oscillation with frequency shift

Frequency shift is of order g^2 T

Abstract

We study the effect of unlinearized medium on the collective excitations in quark-gluon plasma. We present two kinds of non-Abelian oscillation solutions which respectively correspond to weakly and strongly nonlinear coupling of field components in color space. We also show that the weakly nonlinear solution is similar to Abelian-like one but has the frequency shift, which is of order $g^2T$, from eigenfrequency.