Constitutive relations of a chiral hadronic fluid

TL;DR

This paper derives the constitutive relations for a chiral hadronic fluid considering non-abelian anomalies, providing analytical expressions for currents and effects relevant to chiral nuclear matter in external fields.

Contribution

It introduces explicit analytical formulas for covariant currents and Bardeen-Zumino terms in a chiral fluid with non-abelian anomalies, including effects of chiral imbalance.

Findings

Explicit constitutive relations for chiral nuclear matter

Identification of the non-dissipative chiral electric effect

Analytical solutions for anomaly-induced currents

Abstract

We study the role of non-abelian anomalies in relativistic fluids. To this end, we compute the local functional that solves the anomaly equations, and obtain analytical expressions for the covariant currents and the Bardeen-Zumino terms. We particularize these results to a background with two flavors, and consider the cases of unbroken and broken chiral symmetry. Finally, we provide explicit results for the constitutive relations of chiral nuclear matter interacting with external electromagnetic fields and in presence of chiral imbalance. We emphasize the non-dissipative nature of the chiral electric effect.