Anisotropic hydrodynamics, holography and the chiral magnetic effect

TL;DR

This paper explores how the chiral magnetic effect (CME) varies with elliptic flow in anisotropic plasmas, using hydrodynamic models and holographic duality, revealing a dependence of CME on flow anisotropy.

Contribution

It introduces a combined hydrodynamic and holographic approach to quantify the CME's dependence on anisotropy and elliptic flow in plasmas with anomalous currents.

Findings

CME coefficient depends on elliptic flow v2.

Numerical agreement between hydrodynamic and holographic results for small anisotropies.

First-order transport coefficient for CME derived in anisotropic plasma.

Abstract

We discuss a possible dependence of the chiral magnetic effect (CME) on the elliptic flow coefficient v2. We first study this in a hydrodynamic model for a static anisotropic plasma with multiple anomalous U(1) currents. In the case of two charges, one axial and one vector, the CME formally appears as a first-order transport coefficient in the vector current. We compute this transport coefficient and show its dependence on v2. We also determine the CME-coefficient from first-order corrections to the dual AdS background using the fluid-gravity duality. For small anisotropies, we find numerical agreement with the hydrodynamic result.