@misc{10481/100066,
year = {2013},
month = {5},
url = {https://hdl.handle.net/10481/100066},
abstract = {We compute, in the framework of the fluid/gravity correspondence, the transport coefficients of a relativistic fluid affected by chiral and gauge-gravitational anomalies, including external electromagnetic fields. The computation is performed at first and second order in the hydrodynamical expansion. We use a 5-dim holographic model with pure gauge and mixed gauge-gravitational Chern-Simons terms in the action. We reproduce at first order previous results on the anomaly induced current of a magnetic field and a vortex in a relativistic fluid, and compute at second order the anomalous and non anomalous transport coefficients by using a Weyl covariant formalism. We find a dissipative and anomalous correction to the chiral magnetic conductivity due to the time dependence of the magnetic field. We also find a new contribution from the mixed gauge-gravitational anomaly to the shear waves dispersion relation. The role played by the chiral and gravitational anomalies in other transport coefficients is discussed.},
organization = {This work has been supported by Plan Nacional de Altas Energ´ıas (FPA2009-07908, FPA2008-01430 and FPA2011-25948), Spanish MICINN Consolider-Ingenio 2010 Program CPAN (CSD2007-00042), Comunidad de Madrid HEP-HACOS S2009/ESP-1473. E.M. would like to thank the Instituto de Física Teórica UAM/CSIC, Spain, the Institute for Nuclear Theory at the University of Washington, U.S.A., and the Institut für Theoretische Physik at the Technische Universität Wien, Austria, for their hospitality and partial support during the completion of this work. E.M. thanks also the organizers and all the participants in the INT Program 11-3 “Frontiers in QCD” of the University of Washington, for the stimulating atmosphere and fruitful discussions. F.P. thanks the Max Planck Institute (WernerHeisenberg-Institut), Munich, for their hospitality during his research visit in the first stage of this work, and the Institut de F´ısica d’Altes Energies, Universitat Autònoma de Barcelona, Spain, for hospitality. F.P. also acknowledges Brookhaven National Laboratory and the organizers of the workshop “P and CP odd effect in hot and dense matter 2012” for financial support, and for the stimulating atmosphere and fruitful discussions. The research of E.M. is supported by the Juan de la Cierva Program of the Spanish MICINN. F.P. has been supported by fellowship CPI Comunidad de Madrid.},
publisher = {Springer Nature},
keywords = {Gauge-gravity correspondence},
keywords = {AdS-CFT Correspondence},
keywords = {Holography and quark-gluon plasmas},
keywords = {Anomalies in Field and String Theories},
title = {Holographic gravitational anomaly in first and second order hydrodynamics},
doi = {10.1007/JHEP05(2013)115},
author = {Megías Fernández, Eugenio and Pena Benitez, Francisco},
}