Lattice study of the chiral magnetic effect in a chirally imbalanced matter

TL;DR

This study uses lattice QCD simulations with a chiral chemical potential to explore the chiral magnetic effect, revealing the importance of continuum limit considerations for accurate measurement of the induced current.

Contribution

It provides the first lattice QCD analysis of the chiral magnetic effect with a chiral chemical potential, emphasizing the role of continuum limit in quantifying the effect.

Findings

Finite induced current observed along magnetic field in chirally imbalanced matter

Dependence of results on lattice spacing, temperature, volume, and fermion mass

Continuum limit is crucial for accurate quantitative results

Abstract

We investigate the chiral magnetic effect by lattice QCD with a chiral chemical potential. In a chirally imbalanced matter, we obtain a finite induced current along an external magnetic field. We analyze the dependence on the lattice spacing, the temperature, the spatial volume, and the fermion mass. The present result indicates that the continuum limit is important for the quantitative argument of the strength of the induced current.