Four loop renormalization of the Gross-Neveu model

J.A. Gracey; T. Luthe; Y. Schroder

Four loop renormalization of the Gross-Neveu model

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arxiv 1609.05071 v1 pith:FRZ3CAUY submitted 2016-09-16 hep-th cond-mat.dis-nncond-mat.mes-hallcond-mat.str-el

J.A. Gracey , T. Luthe , Y. Schroder This is my paper

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We renormalize the SU(N) Gross-Neveu model in the modified minimal subtraction (MSbar) scheme at four loops and determine the beta-function at this order. The theory ceases to be multiplicatively renormalizable when dimensionally regularized due to the generation of evanescent 4-fermi operators. The first of these appears at three loops and we correctly take their effect into account in deriving the renormalization group functions. We use the results to provide estimates of critical exponents relevant to phase transitions in graphene.

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Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
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First five-loop renormalization group functions for the O(N) Gross-Neveu-Yukawa model, yielding refined, resummed critical exponent estimates for N=1, 2, and 5.

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