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An anomalous hydrodynamics for chiral superfluid

Shu Lin

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.

An anomalous hydrodynamics for chiral superfluid

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.

Paper Structure

This paper contains 8 sections, 60 equations.

Table of Contents

  1. Introduction
  2. Abelian currents from gauged WZW term
  3. Extension to non-abelian currents
  4. A hydrodynamic description of the chiral superfluid
  5. non-abelian hydrodynamics without anomaly
  6. non-abelian hydrodynamics with anomaly
  7. Application to the ground state
  8. Conclusion