CFT data in the Gross-Neveu model

TL;DR

This paper computes conformal field theory data for the Gross-Neveu model in dimensions between 2 and 4, using the $1/N$ expansion and background field method to derive OPE coefficients involving composite operators.

Contribution

It introduces a systematic calculation of CFT data in the Gross-Neveu model at next-to-leading order using conformal triangles and the background field method.

Findings

Derived conformal triangles involving the operator $s^2$

Calculated OPE coefficients for composite operators

Extended CFT data to next-to-leading order in $1/N$

Abstract

We calculate CFT data for the Gross-Neveu model in $2<d<4$ dimensions at the next-to-leading order in the $1/N$ expansion. In particular, we make use of the background field method to derive various conformal triangles involving the composite operator $s^2$, for the Hubbard-Stratonovich field $s$. We then apply these conformal triangles to obtain the corresponding OPE coefficients.