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

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

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