A new perturbative scheme is proposed for the evaluation of the free e
nergy density of field theories at finite temperature. The screened lo
op expansion takes into account exactly the phenomenon of screening in
thermal propagators. The approach is tested in the N-component scalar
field theory at 2-loop level and also at 3-loop in the large-N limit.
The perturbative series generated by the screened loop expansion show
s much better numerical convergence than previous expansions generated
in powers of the quartic coupling. (C) 1997 Elsevier Science B.V.