Fluid/gravity model for the chiral magnetic effect

Abstract

We consider the STU model as a gravity dual of a strongly-coupled plasma with multiple anomalous U(1) currents. In the bulk we add additional background gauge fields to include the effects of external electric and magnetic fields on the plasma. Reducing the number of chemical potentials in the STU model to two and interpreting them as quark and chiral chemical potential, we obtain a holographic description of the chiral magnetic and chiral vortical effects (CME and CVE) in relativistic heavy ion collisions. These effects formally appear as first-order transport coefficients in the electromagnetic current. We compute these coefficients from our model using fluid/gravity duality. We also find analogous effects in the axial current. Finally, we briefly discuss a variant of our model, in which the CME/CVE is realized in the late-time dynamics of an expanding plasma.

4 pages, comments added, as published in PRL

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• Chiral Hall Effect and Chiral Electric Waves
• Some Field Theoretic Issues Regarding the Chiral Magnetic Effect
• Anomalous Transport in Holographic Chiral Superfluids via Kubo Formulae
• Negative magnetoresistivity in chiral fluids and holography
• Anomalous magnetoconductivity and relaxation times in holography
• Chiral Superfluidity for QCD
• Chiral vortices in relativistic hydrodynamics