Hypercubic Random Surfaces with Extrinsic Curvature

1999/02/01 by Sven Bilke, S. Bilke, Bilke, S.
Computer Science · Mathematics · Physics and Astronomy · #Computational Geometry and Mesh Generation #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Point processes and geometric inequalities #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/9902001

9 pages, 4 figures

arxiv created 1999/02/01 · openalex publication_date 1999/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze a model of hypercubic random surfaces with an extrinsic curvature term in the action. We find a first order phase transition at finite coupling separating a branched polymer from a stable flat phase.

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