Renormalization group approach to interacting polymerised manifolds

Abstract

We propose to study the infrared behaviour of polymerised (or tethered) random manifolds of dimension D interacting via an exclusion condition with a fixed impurity in d-dimensional Euclidean space in which the manifold is embedded. We prove rigorously, via methods of Wilson's renormalization group, the convergence to a non Gaussian fixed point for suitably chosen physical parameters.

90 pages, Plain tex file. Updated version with more detailed introduction and added references

Cited by in corpus (6)

• Renormalization Group and Probability Theory
• Finite range Decomposition of Gaussian Processes
• A Complete Renormalization Group Trajectory Between Two Fixed Points
• Gentle introduction to rigorous Renormalization Group: a worked fermionic example
• Kosterlitz-Thouless Transition Line for the Two Dimensional Coulomb Gas
• Three-dimensional tricritical spins and polymers