Journal
PHYSICAL REVIEW D
Volume 94, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.94.125028
Keywords
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Funding
- Science and Technology Facilities Council (STFC) [ST/L000431/1]
- Deutsche Forschungsgemeinschaft (DFG) [SCHR 993/2]
- Fondo Nacional de Desarrollo Cientifico y Tecnologico (FONDECYT) [1151281]
- Universidad del Bio-Bio (UBB) [GI-152609/VC]
- Istituto Nazionale di Fisica Nucleare (INFN)
- STFC [ST/K502145/1, ST/I505805/1, ST/L000431/1, ST/M503629/1, ST/G00062X/1, ST/I506896/1, ST/J50113X/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/K502145/1, ST/J50113X/1, ST/I506896/1, ST/M503629/1, ST/L000431/1, ST/G00062X/1, ST/I505805/1] Funding Source: researchfish
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We renormalize the SU(N) Gross-Neveu model in the modified minimal subtraction 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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