An anomalous hydrodynamics for chiral superfluid

TL;DR

This paper develops a hydrodynamic theory for chiral superfluids derived from an effective chiral Lagrangian, capturing anomaly-induced phenomena like the chiral magnetic and vortical effects at zero temperature.

Contribution

It introduces a non-abelian hydrodynamic framework for chiral superfluids incorporating anomaly-induced effects derived from a low energy effective Lagrangian.

Findings

Identification of anomaly-induced terms in the hydrodynamic equations.

Analytical solutions showing chiral magnetic and separation effects.

Extension of hydrodynamics to zero temperature chiral superfluids.

Abstract

Starting from low energy effective chiral Lagrangian with gauged Wess-Zumino Witten term, we have derived a hydrodynamic theory for chiral superfluid. It is a non-abelian hydrodynamics at zero temperature with only superfluid components. With an external electromagnetic field and baryonic and axial baryonic chemical potentials turned on, we are able to identify analogs of various anomaly induced term in normal hydrodynamics, including chiral vortical effect, chiral magnetic effect and chiral electric effect. As an example, we solved the hydrodynamic equations for the ground state and observed the chiral magnetic effect and chiral separation in the confined phase.