Renormalization Group Invariant Constraints among Coupling Constants in a Noncommutative Geometry Model

Details Renormalization Group Invariant Constraints among Coupling Constants in a Noncommutative Geometry Model Renormalization Group Invariant Constraints among Coupling Constants in a Noncommutative Geometry Model

1998-01-24

arxiv.org/abs/hep-th/9801164v7

Prog.Theor.Phys. 100 (1998) 375-394

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, Latex file, 2 figures available upon request to umezawa@phys.cst.nihon-u.ac.jp, important changes are made, This is

Scientific paper

10.1143/PTP.100.375

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.

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