### 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 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 language | English |
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Pages (from-to) | 375-394 |

Number of pages | 20 |

Journal | Progress of Theoretical Physics |

Volume | 100 |

Issue number | 2 |

DOIs | |

Publication status | Published - 01-01-1998 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

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*Progress of Theoretical Physics*, vol. 100, no. 2, pp. 375-394. https://doi.org/10.1143/PTP.100.375

**Constraints among coupling constants in noncommutative geometry models.** / Umezawa, Eizo.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Constraints among coupling constants in noncommutative geometry models

AU - Umezawa, Eizo

PY - 1998/1/1

Y1 - 1998/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0032356967&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032356967&partnerID=8YFLogxK

U2 - 10.1143/PTP.100.375

DO - 10.1143/PTP.100.375

M3 - Article

AN - SCOPUS:0032356967

VL - 100

SP - 375

EP - 394

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 2

ER -