### 抄録

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.

元の言語 | English |
---|---|

ページ（範囲） | 375-394 |

ページ数 | 20 |

ジャーナル | Progress of Theoretical Physics |

巻 | 100 |

発行部数 | 2 |

DOI | |

出版物ステータス | Published - 01-01-1998 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### これを引用

}

*Progress of Theoretical Physics*, 巻. 100, 番号 2, pp. 375-394. https://doi.org/10.1143/PTP.100.375

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

研究成果: 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

VL - 100

SP - 375

EP - 394

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 2

ER -