The Beta-Function of the Chiral Gross Neveu Model at O(1/N^2)

TL;DR

This paper calculates the second-order 1/N correction to the critical exponent in the chiral Gross Neveu model across various dimensions using Schwinger Dyson equations.

Contribution

It provides the first detailed computation of the O(1/N^2) correction to the critical exponent for the model in arbitrary dimensions.

Findings

Derived the O(1/N^2) correction to the critical exponent

Validated the correction through consistency equations

Extended results to arbitrary dimensions

Abstract

We compute the $O(1/N^2)$ correction to the critical exponent $2\lambda$ $=$ $-$ $\beta^\prime(g_c)$ 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.