Two dimensional hydrodynamics with gauge and gravitational anomalies

TL;DR

This paper develops a new method to derive exact constitutive relations for stress tensor and charge current in two-dimensional hydrodynamics with gauge and gravitational anomalies, revealing differences between chiral and non-chiral cases.

Contribution

It introduces a novel approach to obtain exact constitutive relations in 2D hydrodynamics with anomalies, including new relations in combined gravity and gauge sectors.

Findings

Chiral constitutive relations resemble ideal fluid form.

Non-chiral relations deviate from ideal fluid form.

Results reproduce gradient expansion outcomes without gauge sector.

Abstract

We present a new approach to discuss two dimensional chiral and non-chiral hydrodynamics with gauge and gravitational anomalies. Exact constitutive relations for the stress tensor and charge current are obtained. For the chiral theory, the constitutive relations may be put in the ideal (chiral) fluid form whereas the constitutive relations corresponding to non-chiral case do not take the ideal fluid form. The constitutive relations in the presence of both gravity and gauge sectors are new. These expressions, in the absence of the gauge sector, reproduce the results obtained in the gradient expansion approach.