A Non-Perturbative Approach to the Random-Bond Ising Model
D.C. Cabra, A. Honecker, G. Mussardo, P. Pujol
TL;DR
This paper explores a non-perturbative approach to understanding the random-bond Ising model by analyzing the N -> 0 limit of the O(N) Gross-Neveu model, connecting it to continuum limits and fixed points.
Contribution
It introduces a novel non-perturbative method using the massless form-factor approach and mapping to WZW models to study the random-bond Ising model.
Findings
Identification of non-perturbative fixed points
Application of the form-factor approach to correlation functions
Mapping to WZW models for deeper insights
Abstract
We study the N -> 0 limit of the O(N) Gross-Neveu model in the framework of the massless form-factor approach. This model is related to the continuum limit of the Ising model with random bonds via the replica method. We discuss how this method may be useful in calculating correlation functions of physical operators. The identification of non-perturbative fixed points of the O(N) Gross-Neveu model is pursued by its mapping to a WZW model.
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