$\beta$-function of the level-zero Gross-Neveu model
High Energy Physics - Theory
2023-10-04 v1 Strongly Correlated Electrons
Mathematical Physics
math.MP
Abstract
We explain that the supersymmetric sigma model is directly related to the level-zero chiral Gross-Neveu (cGN) model. In particular, beta functions of the two theories should coincide. This is consistent with the one-loop-exactness of the beta function and a conjectured all-loop beta function of cGN models. We perform an explicit four-loop calculation on the cGN side and discuss the renormalization scheme dependence that arises.
Cite
@article{arxiv.2209.10502,
title = {$\beta$-function of the level-zero Gross-Neveu model},
author = {Dmitri Bykov},
journal= {arXiv preprint arXiv:2209.10502},
year = {2023}
}
Comments
36 pages, 8 figures