Four loop renormalization of the Gross-Neveu model

Gracey, JA ORCID: 0000-0002-9101-2853, Luthe, T and Schroeder, Y (2016) Four loop renormalization of the Gross-Neveu model. Physical Review D (Particles, Fields, Gravitation and Cosmology), 94 (12). 125028-.

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Abstract

We renormalize the SU(N) Gross-Neveu model in the modified minimal subtraction scheme at four loops and determine the β 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.

Item Type:	Article
Additional Information:	26 latex pages, 2 figures, 2 tables
Uncontrolled Keywords:	lower-dimensional field theories, quantum field theory, renormalization
Depositing User:	Symplectic Admin
Date Deposited:	09 Jan 2017 10:38
Last Modified:	15 Mar 2024 02:21
DOI:	10.1103/PhysRevD.94.125028
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3005117