A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma

TL;DR

This paper investigates potential higher order quantum corrections to the chiral vortical conductivity in gauge field plasmas, focusing on two-loop contributions and their implications for the temperature-squared term.

Contribution

It proposes a possible nonzero higher order correction to the chiral vortical conductivity's T^2 coefficient based on two-loop calculations and anomalous Ward identities.

Findings

Two-loop contributions may alter the T^2 term in the conductivity.

Anomalous Ward identities suggest nonzero corrections.

Potential implications for gauge field plasma behavior.

Abstract

The two loop contributions to the chiral vortical conductivity are considered. The Kubo formula together with the anomalous Ward identity of the axial vector current suggest that there may be a nonzero correction to the coefficient of the $T^2$ term of the conductivity.