Non-Abelian Kubo Formula and the Multiple Time-Scale Method

TL;DR

This paper derives and compares the non-Abelian Kubo formula from kinetic theory and Chern-Simons theory, employing the multiple time-scale method to compute the damping rate of longitudinal color waves.

Contribution

It introduces a novel application of the multiple time-scale method to solve the non-Abelian Kubo formula and compares different derivations of the formula.

Findings

Derived the non-Abelian Kubo formula from kinetic theory.

Compared the formula with the one from Chern-Simons theory.

Computed the damping rate for longitudinal color waves.

Abstract

The non-Abelian Kubo formula is derived from the kinetic theory. That expression is compared with the one obtained using the eikonal for a Chern-Simons theory. The multiple time-scale method is used to solve the non-Abelian Kubo formula, and the damping rate for longitudinal color waves is computed.