Chiral Magnetic Effect in a Lattice Model

Understand

We study analytically the one-loop contribution to the Chiral Magnetic Effect(CME) using lattice regularization with a Wilson fermion field.

• In the continuum limit, we find that the chiral magnetic current vanishes at nonzero temperature but emerges at zero temperature consistent with that found by Pauli-Villas regularization.
• For finite lattice size, however, the chiral magnetic current is nonvanishing at nonzero temperature.
• But the numerical vaule of the coefficient of CME current is very small compared with that extracted from the full QCD simulation for the same lattice parameters.