  We present a novel perspective to characterize the chiral magnetic and
related effects in terms of angular decomposed modes. We find that the vector
current and the chirality density are connected through a surprisingly simple
relation for all the modes and any mass, which defines the mode decomposed
chiral magnetic effect in such a way free from the chiral chemical potential.
The mode decomposed formulation is useful also to investigate properties of
rotating fermions. For demonstration we give an intuitive account for a nonzero
density emerging from a combination of rotation and magnetic field as well as
an approach to the chiral vortical effect at finite density.
