Prepared for submission to JHEP Quasinormal modes of charged magnetic black branes & chiral magnetic transport Martin Ammon,aMatthias Kaminski,bRoshan Koirala,bJulian LeiberaJackson Wub aTheoretisch-Physikalisches Institut, Friedrich-Schiller University of Jena, Max-Wien-Platz 1, 07743 Jena, Germany bDepartment of Physics and Astronomy, University of Alabama, Tuscaloosa, AL 35487, USA E-mail:martin.ammon@uni-jena.de,mski@ua.edu,rkoirala1@ua.edu, julian.leiber@uni-jena.de,jmwu@ua.edu Abstract:We compute quasinormal modes (QNMs) of the metric and gauge field pertur- bations about black branes electrically and magnetically charged in the Einstein-Maxwell- Chern-Simons theory. By the gauge/gravity correspondence, this theory is dual to a par- ticular class of field theories with a chiral anomaly, in a thermal charged plasma state subjected to a constant external magnetic field,B. The QNMs are dual to the poles of the two-point functions of the energy-momentum and axial current operators, and they encode information about the dissipation and transport of charges in the plasma. Complementary to the gravity calculation, we work out the hydrodynamic description of the dual field theory in the presence of a chiral anomaly, and a constant externalB. We find good agree- ment with the weak field hydrodynamics, which can extend beyond the weakBregime into intermediate regimes. Furthermore, we provide results that can be tested against thermo- dynamics and hydrodynamics in the strongBregime. We find QNMs exhibiting Landau level behavior, which become long-lived at largeBif the anomaly coefficient exceeds a critical magnitude. Chiral transport is analyzed beyond the hydrodynamic approximation for the five (formerly) hydrodynamic modes, including a chiral magnetic wave. arXiv:1701.05565v2 [hep-th] 15 Apr 2017
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