Chiral magnetic effect in lattice QCD with a chiral chemical potential

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.

References in corpus (4)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Chiral Magnetic conductivity
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter

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