Chromodynamic Fluctuations in Quark-Gluon Plasma

TL;DR

This paper investigates chromodynamic fluctuations in quark-gluon plasma, analyzing their evolution in both stable and unstable states, and connects the fluctuation spectrum to equilibrium conditions and initial states.

Contribution

It provides a linearized initial value solution for chromodynamic fluctuations in collisionless quark-gluon plasma, including stable and unstable cases, linking to fluctuation-dissipation relations.

Findings

Stable plasma fluctuations decay exponentially over time.

In equilibrium, fluctuation spectrum matches fluctuation-dissipation predictions.

Unstable plasma retains memory of initial fluctuations, affecting long-term behavior.

Abstract

Fluctuations of chromodynamic fields in the collisionless quark-gluon plasma are found as a solution of the initial value linearized problem. The plasma initial state is on average colorless, stationary and homogeneous. When the state is stable, the initial fluctuations decay exponentially and in the long-time limit a stationary spectrum of fluctuations is established. For the equilibrium plasma it reproduces the spectrum which is provided by the fluctuation-dissipation relation. Fluctuations in the unstable plasma, where the memory of initial fluctuations is not lost, are also discussed.