Non-Abelian chiral kinetic theory with self-consistent semiclassical expansion

TL;DR

This paper develops a non-Abelian chiral kinetic theory using a novel semiclassical expansion, simplifying the equations for better numerical and practical use.

Contribution

It introduces a self-consistent semiclassical expansion for non-Abelian gauge fields and derives reduced kinetic equations without extra constraints.

Findings

Disentangles Wigner equations up to second order

Reduces 8D phase space equations to 7D for easier computation

Demonstrates no additional constraints arise in the new expansion

Abstract

We derive the chiral kinetic theory in a non-Abelian gauge field using a self-consistent semiclassical expansion. Within this new expansion scheme, we disentangle the Wigner equations up to second order and demonstrate that they do not introduce additional constraint equations. By integrating the covariant chiral kinetic equations in eight-dimensional phase space, we obtain the corresponding equations in seven-dimensional phase space. This reduction facilitates numerical simulations and practical applications.