Kinetic theory with Berry curvature from quantum field theories

TL;DR

This paper derives a kinetic theory incorporating Berry curvature from quantum field theories and demonstrates its application in calculating parity-odd correlation functions, aligning with perturbative results.

Contribution

It introduces a method to derive a Berry curvature-modified kinetic theory directly from quantum field theories, connecting microscopic quantum effects to macroscopic transport phenomena.

Findings

Derived a kinetic theory with Berry curvature from quantum field theories.

Calculated parity-odd correlation functions matching perturbative results.

Validated the kinetic theory through agreement with next-to-leading order hard dense loop approximation.

Abstract

A kinetic theory can be modified to incorporate triangle anomalies and the chiral magnetic effect by taking into account the Berry curvature flux through the Fermi surface. We show how such a kinetic theory can be derived from underlying quantum field theories. Using the new kinetic theory, we also compute the parity-odd correlation function that is found to be identical to the result in the perturbation theory in the next-to-leading order hard dense loop approximation.