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Renormalization and Hyperscaling for Self-Avoiding Manifold Models

F. David·B. Duplantier·E. Guitter
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Abstract

The renormalizability of the self-avoiding manifold (SAM) Edwards model is established. We use a new short distance multilocal operator product expansion (MOPE), which extends methods of local field theories to a large class of models with non-local singular interactions. This validates the direct renormalization method introduced before, as well as scaling laws. A new general hyperscaling relation for the configuration exponent gamma is derived. Manifolds at the Theta-point, and long range Coulomb interactions are briefly discussed.

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F. David, B. Duplantier, E. Guitter. 1993-07-29. Renormalization and Hyperscaling for Self-Avoiding Manifold Models. https://doi.org/10.1103/physrevlett.72.311

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