Chiral magnetic effect in lattice QCD with a chiral chemical potential

TL;DR

This paper reports on lattice QCD simulations with a chiral chemical potential, demonstrating the chiral magnetic effect by observing an induced current proportional to magnetic field and chiral chemical potential.

Contribution

First lattice QCD simulation including dynamical fermions with a chiral chemical potential, confirming the chiral magnetic effect without sign problem complications.

Findings

Induced current is proportional to magnetic field and chiral chemical potential.

Simulation confirms analytical predictions of the chiral magnetic effect.

No sign problem encountered in the simulation.

Abstract

We perform a first lattice QCD simulation including two-flavor dynamical fermion with a chiral chemical potential. Because the chiral chemical potential gives rise to no sign problem, we can exactly analyze a chirally imbalanced QCD matter by the Monte Carlo simulation. By applying an external magnetic field to this system, we obtain a finite induced current along the magnetic field, which corresponds to the chiral magnetic effect. The obtained induced current is proportional to the magnetic field and to the chiral chemical potential, which is consistent with an analytical prediction.