Skip to Main content Skip to Navigation
Journal articles

Renormalization and hyperscaling for self-avoiding manifold models

Abstract : 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.
Document type :
Journal articles
Complete list of metadatas
Contributor : Bruno Savelli <>
Submitted on : Tuesday, February 5, 2019 - 3:34:40 PM
Last modification on : Thursday, November 26, 2020 - 10:00:03 AM

Links full text




Francois David, Bertrand Duplantier, Emmanuel Guitter. Renormalization and hyperscaling for self-avoiding manifold models. Physical Review Letters, American Physical Society, 1994, 72 (3), pp.311-315. ⟨10.1103/PhysRevLett.72.311⟩. ⟨cea-02008160⟩



Record views