Hamilton principle for chiral anomalies in hydrodynamics

We developed the spacetime-covariant Hamilton principle for barotropic flows of a perfect fluid in external axial-vector potential conjugate to helicity current. Such carry helicity, chiral imbalance, controlled by axial potential. The interest such setting is motivated recent observation that axial-current anomaly quantum field theories with Dirac fermions appears as kinematic property classical hydrodynamics. Especially interesting effects occur under simultaneous actions electromagnetic and With help principle, we obtain extension Euler equations derive anomalies divergence vector Our approach provides hydrodynamic expression currents lays down platform studying imbalance their anomalies.