Computation of $β(g_c)$ at O(1/N^2) in the O(N) Gross Neveu Model in Arbitrary Dimensions

Abstract

By using the corrections to the asymptotic scaling forms of the fields of the $O(N)$ Gross Neveu model to solve the dressed skeleton Schwinger Dyson equations, we deduce the critical exponent corresponding to the $β$-function of the model at $O(1/N^2)$.