Correction exponents in the Gross - Neveu - Yukawa model at $1/N^2$

TL;DR

This paper computes correction exponents in the Gross-Neveu model at order 1/N^2, confirming their consistency with recent four-loop perturbative results, thus advancing understanding of critical behavior in these models.

Contribution

The paper provides the first calculation of correction exponents at 1/N^2 accuracy in the Gross-Neveu model, linking them to beta-function slopes in the Gross-Neveu-Yukawa model.

Findings

Calculated critical exponents $\omega_\pm$ at 1/N^2 order.

Confirmed agreement with four-loop perturbative results.

Enhanced understanding of critical phenomena in fermionic models.

Abstract

We calculate the critical exponents $\omega_\pm$ in the $d$-dimensional Gross-Neveu model in $1/N$ expansion with $1/N^2$ accuracy. These exponents are related to the slopes of the $\beta$-functions at the critical point in the Gross - Neveu - Yukawa model. They have been computed recently to four loops accuracy. We checked that our results are in complete agreement with the results of the perturbative calculations.