%0 Journal Article %T Renormalization and hyperscaling for self-avoiding manifold models %+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT) %A David, François %A Duplantier, Bertrand %A Guitter, Emmanuel %< avec comité de lecture %@ 0031-9007 %J Physical Review Letters %I American Physical Society %V 72 %N 3 %P 311-315 %8 1994-01 %D 1994 %Z cond-mat/9307059 %R 10.1103/PhysRevLett.72.311 %Z PACS numbers: 05.20.—y, 11.10.6h, 11.25.—w %Z Physics [physics]Journal articles %X The renormalizability of the self-avoiding manifold Edwards model is established. We use a new short distance multilocal operator product expansion, which extends methods of local field theories to a large class of models with nonlocal singular interactions. This validates the direct renormalization method introduced before, as well as scaling laws. A new general hyperscaling relation is derived. Manifolds at the $\Theta$ point and long-range Coulomb interactions are briefly discussed. %G English %2 https://cea.hal.science/cea-02008160/document %2 https://cea.hal.science/cea-02008160/file/dupl1.pdf %L cea-02008160 %U https://cea.hal.science/cea-02008160 %~ CEA %~ CNRS %~ DSM-IPHT %~ CEA-DRF %~ GS-MATHEMATIQUES %~ GS-PHYSIQUE