Axial Magnetic Effect and Chiral Vortical Effect with free lattice chiral fermions

TL;DR

This paper investigates the chiral vortical conductivity using free lattice overlap fermions, revealing finite-volume artifacts but confirming the continuum finite-temperature result in the infinite-volume limit.

Contribution

It provides an indirect lattice calculation of the chiral vortical conductivity and analyzes finite-volume effects on the measurement.

Findings

Finite-volume artifacts significantly affect measurements.

Continuum finite-temperature result is recovered in the infinite-volume limit.

Method confirms theoretical predictions for chiral vortical conductivity.

Abstract

Following the recent work by Braguta et al., we perform an indirect calculation of the chiral vortical conductivity with free lattice overlap fermions by measuring the response of the energy flow to the constant axial magnetic field. We find that the measurements are contaminated by very large finite-volume artifacts. However, the continuum result for finite-temperature contribution to the chiral vortical conductivity (T^2/12) is still reproduced in the limit of infinite volume at fixed temperature.