English

Four loop MSbar mass anomalous dimension in the Gross-Neveu model

High Energy Physics - Theory 2008-11-26 v1

Abstract

We compute the four loop term of the mass anomalous dimension in the two dimensional Gross-Neveu model in the MSbar scheme. The absence of multiplicative renormalizability which results when using dimensional regularization means that the effect of the evanescent operator, which first appears at three loops in the 4-point Green's function, has to be properly treated in the construction of the renormalization group function. We repeat the calculation of the three loop MSbar beta-function and construct the beta-function of the evanescent operator coupling which corrects earlier computations.

Keywords

Cite

@article{arxiv.0804.1241,
  title  = {Four loop MSbar mass anomalous dimension in the Gross-Neveu model},
  author = {J. A. Gracey},
  journal= {arXiv preprint arXiv:0804.1241},
  year   = {2008}
}

Comments

20 latex pages, 7 figures

R2 v1 2026-06-21T10:28:46.214Z