Notes on chiral hydrodynamics within effective theory approach

TL;DR

This paper explores chiral hydrodynamics using effective theory, reproducing recent thermodynamic results at lowest order and examining higher-order effects and anomaly matching via scalar fields.

Contribution

It introduces an effective theory framework for chiral hydrodynamics, analyzing higher-order effects and proposing an alternative anomaly matching method with scalar fields.

Findings

Reproduces recent thermodynamic results at lowest order

Higher-order results depend on infrared cutoff details

Proposes scalar fields for anomaly matching

Abstract

We address the issue of evaluating chiral effects (such as the newly discovered chiral separation) in hydrodynamic approximation. The main tool we use is effective theory which defines interaction in terms of chemical potentials $\mu,\mu_5$. In the lowest order in $\mu,\mu_5$ we reproduce recent results based on thermodynamic considerations. In higher orders the results depend on details of infrared cutoff. Another point of our interest is an alternative way of the anomaly matching through introduction of effective scalar fields arising in the hydrodynamic approximation.