The Nonlinear Permittivity Including Non-Abelian Self-interaction of Plasmons in Quark-Gluon Plasma

TL;DR

This paper derives a nonlinear permittivity model for quark-gluon plasma, accounting for non-Abelian self-interactions of plasmons, using semi-classical kinetic equations and expanding to third order.

Contribution

It introduces a third-order expansion of kinetic equations to include self-interaction effects in the nonlinear permittivity of quark-gluon plasma.

Findings

Derived nonlinear permittivity including gauge field self-interaction

Provided numerical estimates for zero-momentum modes

Enhanced understanding of gluon plasma dynamics

Abstract

By decomposing the distribution functions and color field to regular and fluctuation parts, the solution of the semi-classical kinetic equations of quark-gluon plasma is analyzed. Through expanding the kinetic equations of the fluctuation parts to third order, the nonlinear permittivity including the self-interaction of gauge field is obtained and a rough numerical estimate is given out for the important $\vk =0$ modes of the pure gluon plasma.