Gradient resummation for nonlinear chiral transport: an insight from holography

TL;DR

This paper investigates nonlinear chiral transport phenomena using holography, deriving all-order gradient resummed constitutive relations and discovering non-dissipative modes of the chiral magnetic wave beyond the hydrodynamic limit.

Contribution

It provides analytical and numerical calculations of transport coefficient functions in holography, revealing memory effects and non-dissipative modes in chiral magnetic phenomena.

Findings

Memory functions differ from instantaneous responses.

Discovery of non-dissipative chiral magnetic wave modes.

Analytical third-order and numerical beyond-hydrodynamics results.

Abstract

Nonlinear transport phenomena induced by chiral anomaly are explored within a 4D field theory defined holographically as $U(1)_V\times U(1)_A$ Maxwell-Chern-Simons theory in Schwarzschild-$AdS_5$. In presence of weak constant background electromagnetic fields, the constitutive relations for vector and axial currents, resummed to all orders in the gradients of charge densities, are encoded in nine momenta-dependent transport coefficient functions (TCFs). These TCFs are first calculated analytically up to third order in gradient expansion, and then evaluated numerically beyond the hydrodynamic limit. Fourier transformed, the TCFs become memory functions. The memory function of the chiral magnetic effect (CME) is found to differ dramatically from the instantaneous response form of the original CME. Beyond hydrodynamic limit and when external magnetic field is larger than some critical value, the chiral magnetic wave (CMW) is discovered to possess a discrete spectrum of non-dissipative modes.