1997/02/14 by Francois David, François David, Bertrand Duplantier +4 · 1 citation
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Membrane Separation and Gas Transport #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft #hep-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9702136
96 pages, TEX + lanlmac + epsf, 16 figures
arxiv created 1997/02/14 · openalex publication_date 1997/02/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove the renormalizability of the generalized Edwards model for self-avoiding polymerized membranes. This is done by use of a short distance multilocal operator product expansion, which extends the methods of local field theories to a large class of models with non-local singular interactions. This ensures the existence of scaling laws for crumpled self-avoiding membranes, and validates the direct renormalization method used for polymers and membranes. This also provides a framework for explicit perturbative calculations. We discuss hyperscaling relations for the configuration exponent and contact exponents. We finally consider membranes with long range interactions and at the Theta-point.