  We compute the photon emission rate of an equilibrated, hot QCD plasma at
zero chemical potential, to leading order in both alpha_{EM} and the QCD
coupling g_s(T). This requires inclusion of near-collinear bremsstrahlung and
inelastic pair annihilation contributions, and correct incorporation of
Landau-Pomeranchuk-Migdal suppression effects for these processes. Analogous
results for a QED plasma are also included.
