RENORMALIZATION AND HYPERSCALING FOR SELF-AVOIDING MANIFOLD MODELS

The renormalizability of the self-avoiding manifold Edwards model is e stablished. We use a new short distance multilocal operator product ex pansion, which extends methods of local field theories to a large clas s of models with nonlocal singular interactions. This validates the di rect renormalization method introduced before, as well as scaling laws . A new general hyperscaling relation is derived. Manifolds at the THE TA point and long-range Coulomb interactions are briefly discussed.