Gravitational Anomaly and Hydrodynamics

TL;DR

This paper investigates the anomalous current induced by vortices in relativistic fluids through the chiral vortical effect, comparing weak and strong coupling regimes using holography, and clarifies implementation issues of chemical potentials.

Contribution

It provides a detailed holographic analysis of the chiral vortical effect at strong coupling and compares it with weak coupling results, highlighting the role of Chern-Simons terms and gauge configurations.

Findings

Strong and weak coupling results agree precisely.

Holographic renormalization shows no new divergences from Chern-Simons terms.

Holographic calculation avoids singular gauge configurations on the black hole horizon.

Abstract

We study the anomalous induced current of a vortex in a relativistic fluid via the chiral vortical effect, which is analogous to the anomalous current induced by a magnetic field via the chiral magnetic effect. We perform this analysis at weak and strong coupling. We discuss inequivalent implementations to the chemical potential for an anomalous symmetry. At strong coupling we use a holographic model with a pure gauge and mixed gauge-gravitational Chern-Simons term in the action. We discuss the holographic renormalization and show that the Chern-Simons terms do not induce new divergences. Strong and weak coupling results agree precisely. We also point out that the holographic calculation can be done without a singular gauge field configuration on the horizon of the black hole.