  Within QED, we examine several issues related to constructing a
parton-model-based QCD transport theory. We rewrite the QED analog of the
parton model, the Weizsaecker-Williams Approximation, entirely in terms of
phase-space quantities and we study the phase-space photon and electron
densities created by a classical point charge. We find that the densities take
a distinctive ``source-propagator'' form. This form does not arise in a
conventional derivation of the semiclassical transport equations because of the
overuse of the gradient approximation. We do not apply the gradient
approximation and so derive the phase-space analog of the Generalized
Fluctuation-Dissipation Theorem. Together, this theorem and the expression for
the phase-space particle self-energies give a set of coupled phase-space
evolution equations. We illustrate how these evolution equations can be used
perturbatively or to derive semiclassical transport equations. Our work relies
on phase-space propagators and sources, so we describe them in detail when
calculating the photon and electron phase-space densities. We use these tools
to discuss the shape of a nucleon's parton cloud.
