Random Bond Ising Model and Massless Phase of the Gross-Neveu Model

TL;DR

This paper explores the connection between the $O(n)$ Gross-Neveu model for $n<2$ and the random bond Ising model at $n=0$, revealing a massless phase characterized by specific scattering processes.

Contribution

It establishes a theoretical link between the $O(n)$ Gross-Neveu model and the random bond Ising model, highlighting the massless phase and scattering characteristics.

Findings

Identification of a massless phase in the $O(n)$ Gross-Neveu model for $n<2$

Connection between the $n o 0$ limit and the random bond Ising model

Characterization of the phase via right-left mover scattering processes

Abstract

The $O(n)$ Gross-Neveu model for $n < 2$ presents a massless phase that can be characterized by right-left mover scattering processes. The limit $n \goto 0$ describes the on-shell properties of the random bond Ising model.