The beta function of the chiral Gross-Neveu model at O(1/N2).

Abstract

We compute the O(1/${\mathit{N}}^{2}$) correction to the critical exponent 2\ensuremath{\lambda}=-\ensuremath{\beta}'(${\mathit{g}}_{\mathit{c}}$) for the chiral Gross-Neveu model in arbitrary dimensions by substituting the corrections to the asymptotic scaling forms of the propagators into the Schwinger-Dyson equations and solving the resulting consistency equations.