Equilibrium Chiral Magnetic Effect: spatial inhomogeneity, finite temperature, interactions

TL;DR

This paper investigates the equilibrium chiral magnetic effect in lattice-regularized relativistic fermionic systems, considering spatial inhomogeneity, finite temperature, and interactions, and finds the effect remains absent.

Contribution

It extends the analysis of the equilibrium chiral magnetic effect to more realistic conditions including inhomogeneity, temperature, and interactions, showing the effect remains zero.

Findings

Equilibrium chiral magnetic conductivity remains zero under extended conditions.

Spatial inhomogeneity and finite temperature do not induce the effect.

Interactions via gauge bosons do not alter the zero conductivity result.

Abstract

We discuss equilibrium relativistic fermionic systems in lattice regularization, and extend the consideration of chiral magnetic effect to systems with spatial inhomogeneity and finite temperature. Besides, we take into account interactions due to exchange by gauge bosons. We find that the equilibrium chiral magnetic conductivity remains equal to zero.