Correction exponents in the Gross–Neveu–Yukawa model at $$1/N^2$$ 1/N2

Abstract

Abstract We calculate the critical exponents $$\omega _\pm $$ ω± in the d-dimensional Gross–Neveu model in 1 / N expansion with $$1/N^2$$ 1/N2 accuracy. These exponents are related to the slopes of the $$\beta $$ β -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.