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.
Highlights
Induced transport phenomena such as the chiral magnetic (CME) and chiral vortical (CVE) effects are extremely active areas of research
In condensed matter physics the CME is at the origin of the observed large enhancement of the longitudinal conductivity of Weyl- and Dirac semimetals subject to a magnetic field [5]
The chiral vortical effects (CVE) has so far played a minor role in condensed matter physics
Summary
Induced transport phenomena such as the chiral magnetic (CME) and chiral vortical (CVE) effects are extremely active areas of research (see [1,2] for reviews) They play important roles in high energy as well as in condensed matter physics. A useful tool to study the CVE is restricting to infinitesimal angular velocity which implies linear response theory.1 In this regime it has been established that a useful way of thinking about the CVE is not directly as a rotation but as a gravito-magnetic analogue of the CME [12]. The metric is sourced by infalling null dust (with rotation) and the linear response due to the anomalies (the Chern-Simons) terms can be calculated from well-known holographic methods While this is not of prime interest for possible applications to heavy ion physics we introduce a momentum relaxation parameter via a linear scalar field background [29].
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