  Coulomb gauge QCD in the first order formalism can be written in terms of a
ghost-free, nonlocal action that ensures total color charge conservation via
Gauss' law. Making an Ansatz whereby the nonlocal term (the Coulomb kernel) is
replaced by its expectation value, the resulting Dyson-Schwinger equations can
be derived. With a leading order truncation, these equations reduce to the gap
equations for the static gluon and quark propagators obtained from a
quasi-particle approximation to the canonical Hamiltonian approach. Moreover a
connection to the heavy quark limit can be established, allowing an intuitive
explanation for the charge constraint and infrared divergences.
