Second-order chiral kinetic theory from Wigner function approach

TL;DR

This paper develops a systematic method to derive second-order chiral kinetic theory from quantum field theory using Wigner functions, extending it to seven-dimensional phase space and identifying new second-order effects.

Contribution

It introduces a novel systematic derivation of second-order chiral kinetic theory in seven-dimensional phase space from the Wigner function approach, revealing new second-order contributions.

Findings

Derived the seven-dimensional chiral kinetic theory up to second order.

Identified new second-order contributions not seen in previous approaches.

Provided a systematic quantum field theory-based derivation method.

Abstract

We present a systematic method to derive the chiral kinetic theory from the Wigner equations based on quantum field theory order by order. We take special effort to derive the chiral kinetic theory in seven-dimensional phase space from the eight-dimensional chiral kinetic theory. We give the seven-dimensional chiral kinetic theory up to second order of semiclassical expansion. We find some new second-order contributions compared with other approaches.