Dielectric correction to the Chiral Magnetic Effect

TL;DR

This paper derives a corrected expression for the chiral magnetic effect, including interaction effects via susceptibility, with implications for heavy-ion collisions and lattice QCD tests.

Contribution

It introduces a non-anomalous correction to the chiral magnetic effect based on susceptibility, extending previous anomaly-based models.

Findings

Correction depends on quark flavor number

Minor impact on heavy-ion collisions

Testable via lattice QCD simulations

Abstract

We derive an electric current density $j_{em}$ in the presence of a magnetic field $B$ and a chiral chemical potential $\mu_5$. We show that $j_{em}$ has not only the anomaly-induced term $\propto \mu_5 B$ (i.e. Chiral Magnetic Effect) but also a non-anomalous correction which comes from interaction effects and expressed in terms of the susceptibility. We find the correction characteristically dependent on the number of quark flavors. The numerically estimated correction turns out to be a minor effect on heavy-ion collisions but can be tested by the lattice QCD simulation.