Renormalization Group Approach to Interacting Crumpled Surfaces: The hierarchical recursion

Details Renormalization Group Approach to Interacting Crumpled Surfaces: The hierarchical recursion Renormalization Group Approach to Interacting Crumpled Surfaces: The hierarchical recursion

1993-10-08

arxiv.org/abs/hep-th/9310052v1

Nucl.Phys. B422 (1994) 634-676

Physics

High Energy Physics

High Energy Physics - Theory

47 pages in simple Latex, PAR-LPTHE 9346

Scientific paper

10.1016/0550-3213(94)90450-2

We study the scaling limit of a model of a tethered crumpled D-dimensional random surface interacting through an exclusion condition with a fixed impurity in d-dimensional Euclidean space by the methods of Wilson's renormalization group. In this paper we consider a hierarchical version of the model and we prove rigorously the existence of the scaling limit and convergence to a non-Gaussian fixed point for $1 \leq D< 2$ and $\epsilon >0$ sufficiently small, where $\epsilon = D - (2-D) {d\over 2}$.

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