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Renormalization Group Approach to Interacting Crumpled Surfaces: The hierarchical recursion

M. Cassandro·P. K. Mitter
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Abstract

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 $ε>0$ sufficiently small, where $ε= D - (2-D) {d\over 2}$.

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M. Cassandro, P. K. Mitter. 1993-10-08. Renormalization Group Approach to Interacting Crumpled Surfaces: The hierarchical recursion. https://doi.org/10.1016/0550-3213(94)90450-2

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