  Circularly polarized photons have the Berry curvature in the semiclassical
regime. Based on the kinetic equation for such chiral photons, we derive the
(non)equilibrium expression of the photon current in the direction of the
vorticity. We briefly discuss the relevance of this "photonic chiral vortical
effect" in pulsars and rotating massive stars and its possible realization in
semiconductors.
