Critical exponent $\omega$ in the Gross-Neveu-Yukawa model at $O(1/N)$

TL;DR

This paper calculates the critical exponent ω at order 1/N in the Gross-Neveu model across dimensions, confirming consistency with recent three-loop beta function results and extending to related universality classes.

Contribution

It provides the first large N critical point calculation of ω in the Gross-Neveu model and related classes, validating recent perturbative results.

Findings

Agreement with three-loop beta function calculations in four dimensions

Extension of exponent calculations to chiral Gross-Neveu and Nambu-Jona-Lasinio classes

Validation of large N critical point formalism for these models

Abstract

The critcal exponent $\omega$ is evaluated at $O(1/N)$ in $d$-dimensions in the Gross-Neveu model using the large $N$ critical point formalism. It is shown to be in agreement with the recently determined three loop $\beta$-functions of the Gross-Neveu-Yukawa model in four dimensions. The same exponent is computed for the chiral Gross-Neveu and non-abelian Nambu-Jona-Lasinio universality classes.