Renormalization and Hyperscaling for Self-Avoiding Manifold Models

Details Renormalization and Hyperscaling for Self-Avoiding Manifold Models Renormalization and Hyperscaling for Self-Avoiding Manifold Models

1993-07-29

arxiv.org/abs/cond-mat/9307059v1

Physics

Condensed Matter

10 pages + 1 figure, TeX + harvmac & epsf (uuencoded file), SPhT/93-074

Scientific paper

10.1103/PhysRevLett.72.311

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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