$\epsilon$-Expansion in the Gross-Neveu Model from Conformal Field Theory

TL;DR

This paper calculates the leading order anomalous dimensions of specific operators in the Gross-Neveu model near two dimensions using conformal field theory techniques, advancing understanding of critical phenomena in quantum field theories.

Contribution

It introduces a method to compute anomalous dimensions of operators in the Gross-Neveu model using conformal field theory, extending previous approaches to include new classes of operators.

Findings

Computed anomalous dimensions for $(ar ext{psi} ext{psi})^p$ and $(ar ext{psi} ext{psi})^p ext{psi}$ operators

Applied conformal techniques to the Gross-Neveu model in $2+ ext{epsilon}$ dimensions

Provided leading order results relevant for critical phenomena analysis

Abstract

We compute the anomalous dimensions of a class of operators of the form $(\bar\psi\psi)^p$ and $(\bar\psi\psi)^p\psi$ to leading order in $\epsilon$ in the Gross-Neveu model in $2+\epsilon$ dimensions. We use the techniques developed in arXiv: 1505.00963.