Chiral kinetic theory and anomalous hydrodynamics in even spacetime dimensions

TL;DR

This paper develops a chiral kinetic theory framework for Weyl fermions in even spacetime dimensions, deriving anomalous hydrodynamic currents that incorporate gauge anomalies and complement previous thermodynamic approaches.

Contribution

It introduces a novel kinetic theory approach to analyze anomalous hydrodynamics in higher even dimensions, connecting gauge anomalies with Berry curvature effects.

Findings

Derived anomalous hydrodynamic currents in equilibrium and finite temperature.

Confirmed consistency with previous thermodynamic results.

Provided a complementary kinetic perspective on gauge anomalies in hydrodynamics.

Abstract

We study the hydrodynamics of a gas of noninteracting Weyl fermions coupled to the electromagnetic field in $(2N + 1) + 1$ spacetime dimensions using the chiral kinetic theory, which encodes the gauge anomaly in the Chern character of the nonabelian Berry connection over the Fermi surface. We derive the anomalous contributions to the relativistic hydrodynamic currents in equilibrium and at a finite temperature, which agree with and provides an approach complementary to the results derived previously using thermodynamic constraints.