Out of equilibrium Chiral Vortical Effect in Holography

TL;DR

This paper investigates the chiral vortical effect in a strongly coupled holographic model far from equilibrium, revealing delayed CVE development and analyzing gravitational anomaly effects through analytic and numerical methods.

Contribution

It introduces a holographic model to study the far-from-equilibrium CVE, incorporating momentum relaxation and gravitational anomaly effects, with both analytic estimates and quasi-normal mode analysis.

Findings

CVE builds up with a significant delay compared to background equilibration.

Gravitational contributions to the axial anomaly influence the CVE.

Quasi-normal modes determine the late-time ring-down behavior.

Abstract

We study the chiral vortical effect far from equilibrium in a strongly coupled holographic field theory. Rotation is represented as a perturbation via a gravito-magnetic field on top of a five-dimensional charged AdS Vaidya metric. We also introduce a momentum relaxation mechanism by linear scalar field backgrounds and study the CVE dynamics as function of the charges, temperature and momentum relaxation. The far from equilibrium behavior shows that the CVE builds up with a significant delay in time compared to the quasi instantaneous equilibration of the background metric. We also pay special attention to the effects of the gravitational contribution to the axial anomaly in the CVE of the axial current. We develop an analytic estimate of this delay and also compute the quasi-normal modes near equilibrium which determine the late time ring down.