Chiral magnetic effect in lattice QCD with a chiral chemical potential

Understand

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.