Gravitational Anomaly and Hydrodynamics
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.
Cite
@article{arxiv.1111.2823,
title = {Gravitational Anomaly and Hydrodynamics},
author = {Karl Landsteiner and Eugenio Megias and Luis Melgar and Francisco Pena-Benitez},
journal= {arXiv preprint arXiv:1111.2823},
year = {2015}
}
Comments
11 pages, 2 figures, 1 table; based on a talk at Seventh International Conference Quantum Theory and Symmetries (QTS-7), Prague, Czech Republic, August 7-13, 2011; v2 expanded discussion in Sections 3 and 4, added fig. 2 and references