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Prog. Theor. Phys. Vol. 100 No. 2 (1998) pp. 375-394

[ Full Text PDF : FREE ACCESS (711K) ]

Constraints among Coupling Constants in Noncommutative Geometry Models

Eizou Umezawa

Department of Physics, College of Science and Technology
Nihon University, Tokyo 101-8308, Japan

(Received January 26, 1998)

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.


URL : http://ptp.ipap.jp/link?PTP/100/375/
DOI : 10.1143/PTP.100.375

[ Full Text PDF : FREE ACCESS (711K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 102 No. 2 (1999) pp. 419-425 :
    Gauge Symmetry Breaking in Models Inspired by Non-Commutative Geometry
    Koji Hashimoto

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