  We propose a classical action for the motion of massless Weyl fermions in a
background gauge field in (2N+1)+1 spacetime dimensions. We use this action to
derive the collisionless Boltzmann equation for a gas of such particles, and
show how classical versions of the gauge and Abelian chiral anomalies arise
from the Chern character of the non-Abelian Berry connection that parallel
transports the spin degree of freedom in momentum space.
