  A power expansion scheme is set up to determine the Wigner function that
satisfies the quantum kinetic equation for spin-1/2 charged fermions in a
background electromagnetic field. Vector and axial-vector current induced by
magnetic field and vorticity are obtained simultaneously from the Wigner
function. The chiral magnetic and vortical effect and chiral anomaly are shown
as natural consequences of the quantum kinetic equation. The axial-vector
current induced by vorticity is argued to lead to a local polarization effect
along the vorticity direction in heavy-ion collisions.
