On Mass correction to Chiral Vortical Effect and Chiral Separation Effect

TL;DR

This paper investigates how mass influences the coefficients of axial chiral vortical and separation effects at finite temperature and chemical potential, providing two calculation methods and analyzing suppression effects.

Contribution

It introduces two independent methods for calculating these coefficients and clarifies the role of mass and chemical potential in their behavior.

Findings

Mass suppresses the coefficients of the effects.

Agreement between field theory and anomaly-based calculations.

Mass correction is negligible for quark-gluon plasma.

Abstract

We study coefficients of axial chiral vortical effect and chiral separation effect at finite temperature and vector chemical potential in massive theories. We present two independent methods of calculating the coefficients: one from field theory and the other using the mass term in axial anomaly equation. An ambiguity in the integration constant similar to hydrodynamic approach to axial chiral vortical effect exists in the latter, but can be fixed naturally in the presence of mass. We obtain perfect agreement between the methods. The results of axial chiral vortical effect and chiral separation effect indicate that the presence of mass generically suppresses the two coefficients, with less suppression at larger chemical potential. For phenomenologically relevant case of quark gluon plasma with three quark flavor, we find the correction is negligible.