Anomalous transport from holography: Part I

TL;DR

This paper investigates the transport phenomena caused by the chiral anomaly in a holographic charged plasma, deriving generalized constitutive relations and demonstrating the exactness of the chiral magnetic effect in certain conditions.

Contribution

It introduces all-order derivative resummed transport coefficients and explores nonlinear transport effects in the presence of external fields within a holographic framework.

Findings

All-order derivative resummed transport coefficients are derived.

The chiral magnetic effect is proven to be exact with only magnetic field external influence.

Nonlinear corrections due to electric and axial fields are explicitly computed.

Abstract

We revisit the transport properties induced by the chiral anomaly in a charged plasma holographically dual to anomalous $U(1)_V\times U(1)_A$ Maxwell theory in Schwarzschild-$AdS_5$. Off-shell constitutive relations for vector and axial currents are derived using various approximations generalising most of known in the literature anomaly-induced phenomena and revealing some new ones. In a weak external field approximation, the constitutive relations have all-order derivatives resummed into six momenta-dependent transport coefficient functions: the diffusion, the electric/magnetic conductivity, and three anomaly induced functions. The latter generalise the chiral magnetic and chiral separation effects. Nonlinear transport is studied assuming presence of constant background external fields. The chiral magnetic effect, including all order nonlinearity in magnetic field, is proven to be exact when the magnetic field is the only external field that is turned on. Non-linear corrections to the constitutive relations due to electric and axial external fields are computed.