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Self-Avoiding Random Manifolds

1995/11/15 by François David, Francois David, David, Francois
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Topological and Geometric Data Analysis #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9511107

Lectures given at the Cargese Summer School "Low Dimensional Applications of Quantum Field Theory", 11 - 31 July 1995, 17 pages, LaTeX + epsf.sty, 13 figures (only LaTeX format changed to fit with the Archive PostScript generator)

openalex publication_date 1995/11/15 · arxiv created 1995/11/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These lectures deal with: (1) a brief review of the theory of flexible random manifolds (with fixed intrinsic metric), connected to the physics of polymerized membranes, and of the effect of extrinsic curvature (crumpling transitions); (2) a discussion of the effect of self-avoidance and its renormalization group treatment in term of a non-local field theory (this last part is not much different from cond-mat/9509096).

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