Can the classical electromagnetic force between two arbitrarily moving electrons, described by the Lienard-Wiechert EM fields and the Lorentz force law, be derived from a "simple" tree-level QED calculation? Can anyone point to a paper where this has been done?
I haven't seen derivations of retarded Lienard-Wiechert potentials from QED, but one can obtain the instantaneous Darwin-Breit potential. See section 83 in Berestetskii, Livshitz, Pitaevskii, "Quantum electrodynamics" and chapter 12 in arXiv:physics/0504062. Eugene.