  A formalism for the evaluation of the intensity of photon and gluon
bremsstrahlung in QED and QCD condensed media is presented which considers
general interactions beyond the Fokker-Planck/Gaussian approximation, the
angular distribution of the final particles and admits finite or structured
target calculations. The Boltzmann/transport approaches of Migdal, Bell and the
Baier-Dokshitzer-Mueller-Peign\'e-Schiff group, and the light-cone path
integral formalisms of Zakharov and Wiedemann and Gyulassy are recovered as
particular cases within the Fokker-Planck limit, which assumes Brownian motion
for the intervening particles. Weinberg's soft photon theorem is shown to
saturate the Landau-Pomeranchuk-Migdal supression in the soft photon/gluon
regime of vanishing phases. The intensity under realistic screened interactions
is larger than the existing Fokker-Planck results by a factor 3-4 and the
changes can not be accounted for by a single definition of the medium transport
properties through $\hat{q}$. This may also suggest that larger gluon elastic
cross sections, leading to the hypothesis of strongly coupled Quark Gluon
Plasma, may not be required to match the data.
