Renormalization group approach to interacting polymerised manifolds

TL;DR

This paper applies Wilson's renormalization group to analyze the infrared behavior of interacting polymerized manifolds with impurities, demonstrating convergence to a non-Gaussian fixed point.

Contribution

It introduces a rigorous renormalization group framework to study the critical behavior of tethered manifolds with interactions and impurities.

Findings

Proves convergence to a non-Gaussian fixed point.

Establishes a rigorous method for analyzing polymerized manifolds.

Provides insights into the infrared behavior of complex systems.

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.