Anomalous Maxwell equations for inhomogeneous chiral plasma

TL;DR

This paper derives modified Maxwell equations for inhomogeneous chiral plasma using chiral kinetic theory, revealing new diffusion-like and dissipation-less terms linked to Berry curvature effects.

Contribution

It introduces novel inhomogeneity-induced terms into Maxwell equations for chiral plasma, expanding understanding of electromagnetic responses in such systems.

Findings

Derived new inhomogeneity-related current terms

Identified dissipation-less contributions from Berry curvature

Extended Maxwell equations to inhomogeneous chiral plasma

Abstract

Using the chiral kinetic theory we derive the electric and chiral current densities in inhomogeneous relativistic plasma. We also derive equations for the electric and chiral charge chemical potentials that close the Maxwell equations in such a plasma. The analysis is done in the regimes with and without a drift of the plasma as a whole. In addition to the currents present in the homogeneous plasma (Hall current, chiral magnetic, chiral separation, and chiral electric separation effects, as well as Ohm's current) we derive several new terms associated with inhomogeneities of the plasma. Apart from various diffusion-like terms, we find also new dissipation-less terms that are independent of relaxation time. Their origin can be traced to the Berry curvature modifications of the kinetic theory.