Real space Renormalization Group analysis of a non-mean field spin-glass

TL;DR

This paper introduces a real space Renormalization Group method for non-mean field spin-glasses, providing a non-perturbative, predictive alternative to replica-based approaches for analyzing critical behavior.

Contribution

It develops a novel real space RG approach for non-mean field spin-glasses, overcoming limitations of replica methods and accurately predicting critical exponents.

Findings

Accurate predictions of critical exponents for the model

Demonstrates effectiveness of real space RG in non-mean field systems

Provides an alternative to replica-based methods

Abstract

A real space Renormalization Group approach is presented for a non-mean field spin-glass. This approach has been conceived in the effort to develop an alternative method to the Renormalization Group approaches based on the replica method. Indeed, non-perturbative effects in the latter are quite generally out of control, in such a way that these approaches are non-predictive. On the contrary, we show that the real space method developed in this work yields precise predictions for the critical behavior and exponents of the model.