Four loop renormalization of the Gross-Neveu model

Abstract

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.

arXiv comment26 latex pages, 2 figures, 2 tables

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Cited by in corpus (52)

• Minimally subtracted six loop renormalization of $O(n)$-symmetric ${\varphi }^4$ theory and critical exponents
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
• Abelian Higgs model at four loops, fixed-point collision and deconfined criticality
• Critical behavior of Dirac fermions from perturbative renormalization
• The Gross-Neveu-Yukawa Archipelago
• Large $N$ critical exponents for the chiral Heisenberg Gross-Neveu universality class
• Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
• Multi-loop techniques for massless Feynman diagram calculations
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• Large $N_f$ quantum field theory
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• A functional perspective on emergent supersymmetry
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• Emus live on the Gross-Neveu-Yukawa archipelago
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• High-Dimensional Disorder-Driven Phenomena in Weyl Semimetals, Semiconductors and Related Systems
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• The background field method and critical vector models
• Bond-ordered states and $f$-wave pairing of spinless fermions on the honeycomb lattice
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• Loop calculations for models of graphene