CFT data in the Gross-Neveu model

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.

References in corpus (7)

• Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• Three Loop Analysis of the Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• Four loop renormalization of the Gross-Neveu model
• Thermal Order in Conformal Theories
• Large $N_f$ quantum field theory
• The bi-conical vector model at $1/N$
• The background field method and critical vector models

Cited by in corpus (4)

• The background field method and critical vector models
• Scale symmetry breaking and generation of mass at quantum critical points
• Conformal correlators in the critical $O(N)$ vector model
• Long-Range Vector Models at Large N