Four loop renormalization of the Gross-Neveu model
High Energy Physics - Theory
2017-02-01 v1 Disordered Systems and Neural Networks
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
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.
Keywords
Cite
@article{arxiv.1609.05071,
title = {Four loop renormalization of the Gross-Neveu model},
author = {J. A. Gracey and T. Luthe and Y. Schroder},
journal= {arXiv preprint arXiv:1609.05071},
year = {2017}
}
Comments
26 latex pages, 2 figures, 2 tables