Renormalization Group Invariant Constraints among Coupling Constants in a Noncommutative Geometry Model
Abstract
We study constraints among coupling constants of the standard model obtained in the noncommutative geometry (NCG) method. First, we analyze the evolution of the Higgs boson mass under the renormalization group by adopting the idea of \'Alvarez et al. For this analysis we derive two certain constraints by modifying Connes's way of constructing the standard model. Next, we find renormalization group invariant (RGI) constraints in the NCG method. We also consider the relation between the condition that a constraint among coupling constants of a model becomes RGI and the condition that the model becomes multiplicative renormalizable by using a simple example.
Cite
@article{arxiv.hep-th/9801164,
title = {Renormalization Group Invariant Constraints among Coupling Constants in a Noncommutative Geometry Model},
author = {Eizou Umezawa},
journal= {arXiv preprint arXiv:hep-th/9801164},
year = {2009}
}
Comments
22 pages, Latex file, 2 figures available upon request to umezawa@phys.cst.nihon-u.ac.jp, important changes are made, This is the last version which will appear in Prog. Theor. Phys. {\bf 100} (1998) as "Constraints among Coupling Constants in Noncommutative Geometry Models"