Second order transport from anomalies

TL;DR

This paper investigates second order parity odd transport phenomena in non-conformal charged fluids, linking transport coefficients to anomalies and thermodynamic properties, and deriving Kubo formulas for key coefficients.

Contribution

It identifies 27 parity odd transport coefficients, expresses some in terms of anomalies and thermodynamics, and derives Kubo formulas confirming their consistency.

Findings

12 non-vanishing equilibrium transport coefficients

7 coefficients expressed via anomalies and thermodynamics

Kubo formulas derived and validated for 2 coefficients

Abstract

We study parity odd transport at second order in derivative expansion for a non-conformal charged fluid. We see that there are 27 parity odd transport coefficients, of which 12 are non-vanishing in equilibrium. We use the equilibrium partition function method to express 7 of these in terms of the anomaly, shear viscosity, charge diffusivity and thermodynamic functions. The remaining 5 are constrained by 3 relations which also involve the anomaly. We derive Kubo formulae for 2 of the transport coefficients and show these agree with that derived from the equilibrium partition function.