Correlation functions for the Gross-Neveu model

TL;DR

This paper provides a non-perturbative analysis of correlation functions in the massless Gross-Neveu model, demonstrating they are uniformly bounded in the ultraviolet cutoff within a finite volume.

Contribution

It offers a novel non-perturbative approach showing all correlation functions are uniformly bounded, advancing understanding of the Gross-Neveu model's behavior.

Findings

Correlation functions are uniformly bounded in the ultraviolet cutoff.

The analysis is non-perturbative and valid in finite volume.

Correlation functions are treated as distributions.

Abstract

This is a non-perturbative treatment of correlation functions for the weakly coupled massless Gross-Neveu model in a finite volume. The main result is that all correlation functions, treated as distributions, are uniformly bounded in the ultraviolet cutoff.