Chiral vortical effect with finite rotation, temperature, and curvature

Understand

We perform an explicit calculation of the axial current at finite rotation and temperature in curved space.

• We find that finite curvature and mass corrections to the chiral vortical effect satisfy a relation of the chiral gap effect, that is, a fermion mass-shift by a scalar curvature.
• We also point out that a product term of the angular velocity and the scalar curvature shares the same coefficient as the mixed gravitational chiral anomaly.
• We discuss possible applications of the curvature induced chiral vortical effect to rotating astrophysical compact objects described by the Kerr metric.