In-medium interactions of a particle in a hot plasma are considered in
the framework of thermal held theory. The formalism to calculate gaug
e-invariant rates for photon and dilepton production from the medium i
s given. In the application to a QED plasma, astrophysical consequence
s are pointed out. The photon production rate from strongly interactin
g quarks in the quark-gluon plasma, which might be formed in ultrarela
tivistic heavy ion collisions, is calculated in the previously unacces
sible regime of photon energies of the order of the plasma temperature
. For temperatures below the chiral phase transition, an effective fie
ld theory incorporating dynamical chiral symmetry breaking is employed
, and perturbative QCD at higher temperatures. A smooth transition bet
ween both regions is obtained. The relevance to the soft photon proble
m and to high energy heavy ion experiments is discussed.