  Using the derivative expansion applied to the Wigner transform of the two -
point Green function this is possible to derive the response of various
nondissipative currents to the external gauge fields. The corresponding
currents are proportional to the momentum space topological invariants. This
allows to analyse systematically various anomalous transport phenomena
including the anomalous quantum Hall effect and the chiral separation effect.
We discuss the application of this methodology both to the solid state physics
and to the high energy physics.
