Statistical Mechanics of Self-Avoiding Manifolds (Part II)

  title={Statistical Mechanics of Self-Avoiding Manifolds (Part II)},
  author={Bertrand Duplantier},
  journal={arXiv: Statistical Mechanics},
  • B. Duplantier
  • Published 18 August 2004
  • Mathematics
  • arXiv: Statistical Mechanics
We consider a model of a D-dimensional tethered manifold interacting by excluded volume in R^d with a single point. Use of intrinsic distance geometry provides a rigorous definition of the analytic continuation of the perturbative expansion for arbitrary D, 0 < D < 2. Its one-loop renormalizability is first established by direct resummation. A renormalization operation R is then described, which ensures renormalizability to all orders. The similar question of the renormalizability of the self… 

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