 
Summary: arXiv:hepph/9707440
v1
23
Jul
1997
RENORMALIZABILITY OF HOT CLASSICAL FIELD THEORY
GERT AARTS
Institute for Theoretical Physics, Utrecht University
Princetonplein 5, 3508 TA Utrecht, the Netherlands
I discuss the possibility of using classical eld theory to approximate hot, real
time quantum eld 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 nite 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.
1 Introduction
The classical approximation was suggested several years ago 1 to make non
perturbative calculations of realtime correlation functions at nite temper
ature possible, namely by the use of numerical simulations 2 . In this talk I
