One-loop effective actions and 2D hydrodynamics with anomalies

TL;DR

This paper develops a formalism using Euclidean one-loop partition functions to analyze transport phenomena in 2D quantum field theories with gauge and gravitational anomalies, extending methods to finite temperature and rotation.

Contribution

It generalizes the modified Dirac operator approach to finite temperature, chemical potentials, and rotations for studying anomalies in 2D hydrodynamics.

Findings

Provides a new formalism for anomaly-induced transport analysis.

Extends zero-temperature anomaly methods to finite temperature and rotation.

Facilitates computation of transport coefficients in 2D anomalous theories.

Abstract

We revisit the study of a 2D quantum field theory in the hydrodynamic regime and develop a formalism based on Euclidean one-loop partition functions that is suitable to analyze transport properties due to gauge and gravitational anomalies. To do so, we generalize the method of a modified Dirac operator developed for zero-temperature anomalies to finite temperature, chemical potentials and rotations.