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arxiv: 1609.05071 · v1 · pith:FRZ3CAUYnew · submitted 2016-09-16 · ✦ hep-th · cond-mat.dis-nn· cond-mat.mes-hall· cond-mat.str-el

Four loop renormalization of the Gross-Neveu model

J.A. Gracey , T. Luthe , Y. Schroder This is my paper
classification ✦ hep-th cond-mat.dis-nncond-mat.mes-hallcond-mat.str-el
keywords fourgross-neveuloopsmodelrenormalizationaccountappearsbeta-function
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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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