  We present a field theoretical model of anomalous transport in Weyl
semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the
electric, axial (valley) and energy current. Our findings coincide with the
results of a recent analysis using kinetic theory in the bulk of the material.
We point out that the kinetic currents have to be identified with the covariant
currents in quantum field theory. These currents are anomalous and the CME
appears as anomalous charge creation/annihilation at the edges of the Weyl
semi-metal. We discuss a possible simultaneous experimental test of the chiral
magnetic and the chiral vortical effect sensitive to the temperature dependence
induce by the gravitational contribution to the axial anomaly.
