  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.

High Energy Physics - Phenomenology;High Energy Physics - Theory;Nuclear Theory