Hydrodynamics in 1+1 dimensions with gravitational anomalies

TL;DR

This paper investigates how gauge and gravitational anomalies influence hydrodynamics in two dimensions, deriving the equilibrium partition function and related transport coefficients to understand anomaly-induced effects.

Contribution

It explicitly integrates the gravitational anomaly to derive the equilibrium partition function and computes related transport coefficients in 2D hydrodynamics.

Findings

Derived the equilibrium partition function at second derivative order.

Computed the parity-violating energy-momentum tensor components.

Identified anomaly-induced transport coefficients.

Abstract

The constraints imposed on hydrodynamics by the structure of gauge and gravitational anomalies are studied in two dimensions. By explicit integration of the consistent gravitational anomaly, we derive the equilibrium partition function at second derivative order. This partition function is then used to compute the parity-violating part of the covariant energy-momentum tensor and the transport coefficients.