Four loop renormalization of the Gross-Neveu model

التفاصيل البيبلوغرافية
العنوان: Four loop renormalization of the Gross-Neveu model
المؤلفون: Gracey, J. A., Luthe, T., Schroder, Y.
سنة النشر: 2016
المجموعة: Condensed Matter
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Strongly Correlated Electrons
الوصف: 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.
Comment: 26 latex pages, 2 figures, 2 tables
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.94.125028
URL الوصول: http://arxiv.org/abs/1609.05071
رقم الأكسشن: edsarx.1609.05071
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.94.125028