Chiral magnetic effect and anomalous transport from real-time lattice simulations

TL;DR

This study uses real-time lattice simulations with dynamical fermions to explore anomaly-induced transport phenomena, specifically the chiral magnetic and separation effects, during sphaleron transitions in gauge fields.

Contribution

It provides a first-principles simulation of the interplay between CME and CSE in a non-Abelian and Abelian gauge field environment, including effects of finite quark mass.

Findings

Demonstrates the formation of a propagating wave due to CME and CSE.

Shows the dependence of induced currents on quark mass.

Analyzes the behavior of vector and axial currents during sphaleron transitions.

Abstract

We present a first-principle study of anomaly induced transport phenomena by performing real-time lattice simulations with dynamical fermions coupled simultaneously to non-Abelian $SU(N_c)$ and Abelian $U(1)$ gauge fields. Investigating the behavior of vector and axial currents during a sphaleron transition in the presence of an external magnetic field, we demonstrate how the interplay of the Chiral magnetic (CME) and Chiral separation effect (CSE) lead to the formation of a propagating wave. We further analyze the dependence of the magnitude of the induced vector current and the propagation of the wave on the amount of explicit chiral symmetry breaking due to finite quark mass.