  I discuss the possibility of using classical field theory to approximate hot,
real-time quantum field theory. I calculate, in a scalar theory, the classical
two point and four point function in perturbation theory. The counterterms
needed to make the classical correlation functions finite are dictated by the
superrenormalizability of the static theory. The classical expressions
approximate the quantum ones, when the classical parameters are chosen
according to the dimensional reduction matching rules. I end with an outlook to
gauge theories.
