Renormalization and Hyperscaling for Self-Avoiding Manifold Models
Condensed Matter
2009-10-22 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.cond-mat/9307059,
title = {Renormalization and Hyperscaling for Self-Avoiding Manifold Models},
author = {F. David and B. Duplantier and E. Guitter},
journal= {arXiv preprint arXiv:cond-mat/9307059},
year = {2009}
}
Comments
10 pages + 1 figure, TeX + harvmac & epsf (uuencoded file), SPhT/93-074