1992/12/16 by François David, F. David, Bertrand Duplantier +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #cond-mat #hep-th
paper · pdf · doi:10.1103/physrevlett.70.2205
published as Phys.Rev.Lett. 70 (1993) 2205-2208 · 10 pages (1 figure, included), harvmac, SPhT/92-156
arxiv created 1992/12/16 · openalex publication_date 1993/04/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a model of a D-dimensional tethered manifold interacting by excluded volume in openRd with a single point. By use of intrinsic distance geometry, we first provide a rigorous definition of the analytic continuation of its perturbative expansion for arbitrary D, 0D2. We then construct explicitly a renormalization operation ssR, ensuring renormalizability to all orders. This is the first example of mathematical construction and renormalization for an interacting extended object with continuous internal dimension, encompassing field theory.