Constraints among coupling constants in noncommutative geometry models

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)375-394
Number of pages20
JournalProgress of Theoretical Physics
Volume100
Issue number2
DOIs
Publication statusPublished - 01-01-1998

Fingerprint

geometry
Higgs bosons

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

@article{c081a50913b14585b68c1837c808f731,
title = "Constraints among coupling constants in noncommutative geometry models",
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 {\'A}lvarez 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.",
author = "Eizo Umezawa",
year = "1998",
month = "1",
day = "1",
doi = "10.1143/PTP.100.375",
language = "English",
volume = "100",
pages = "375--394",
journal = "Progress of Theoretical Physics",
issn = "0033-068X",
publisher = "Yukawa Institute for Theoretical Physics",
number = "2",

}

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

In: Progress of Theoretical Physics, Vol. 100, No. 2, 01.01.1998, p. 375-394.

Research output: Contribution to journalArticle

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 -