  We solve the collisionless transport equations of a quark-gluon plasma
interacting through mean chromodynamic fields. The system is assumed to be
translation invariant in one or more space-time directions. We present exact
solutions that hold if the vector gauge fields in the direction of the
translation invariance commute with their covariant derivatives. We also solve
the equations perturbatively when the commutation condition is relaxed.
Further, we derive the color current and the associated effective action. For
the static quasi-equilibrium system, our results reproduce the full one-loop
effective action of QCD in the presence of constant background fields, where
the above mentioned commutation condition is satisfied.
