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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.
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François 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⟩

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