POLYMERS IN A WEAK RANDOM POTENTIAL IN DIMENSION 4 - RIGOROUS RENORMALIZATION-GROUP ANALYSIS

Correlation functions of the Edwards model of polymers at weak couplin g are defined and studied at the critical point, in dimension four, by a rigorous renormalization group method which validates, at any order , perturbative renormalization group results on their behaviour at lar ge distances. Remainders are controlled by a new argument which enlarg es the use of methods of constructive field theory to models of statis tical physics.