Anomalous transport from equilibrium partition functions

TL;DR

This paper reviews recent progress in using equilibrium partition functions to compute transport coefficients in relativistic fluids affected by quantum anomalies, covering first and second order hydrodynamics for Abelian and non-Abelian chiral fermions.

Contribution

It provides a comprehensive summary of how the equilibrium partition function formalism is applied to anomaly-induced transport in relativistic fluids, including new results for non-Abelian theories.

Findings

Transport coefficients derived from partition functions for chiral fluids.

Differences in constitutive relations for Abelian and non-Abelian cases.

Insights into anomaly effects at first and second order in hydrodynamics.

Abstract

We summarize recent advances in the application of the equilibrium partition function formalism for the study of the transport coefficients of relativistic fluids induced by quantum anomalies, at first and second order in the hydrodynamic expansion. We provide results for theories with Abelian and non-Abelian chiral fermions, and discuss some features of the corresponding constitutive relations.