Constraints among coupling constants in noncommutative geometry models

Eizou Umezawa

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 Álvarez 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.

Original languageEnglish
Pages (from-to)375-394
Number of pages20
JournalProgress of Theoretical Physics
Issue number2
Publication statusPublished - 1998
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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