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Prog. Theor. Phys. Vol. 94 No. 6 (1995) pp. 1121-1133

[ Full Text PDF : FREE ACCESS (553K) ]

Modified Reconstruction of Standard Model in Non-Commutative Differential Geometry

Yoshitaka Okumura, Shin-ichi Suzuki and Katsusada Morita*

Department of Natural Science, Chubu University, Kasugai 487
*Department of Physics, Nagoya University, Nagoya 464-01

(Received July 13, 1995)

Abstract:

Sogami recently proposed the new idea to express Higgs particle as a kind of gauge particle by prescribing the generalized covariant derivative with gauge and Higgs fields operating on quark and lepton fields. The field strengths for both the gauge and Higgs fields are defined by the commutators of the covariant derivative by which he could obtain the Yang-Mills Higgs Lagrangian in the standard model. Inspired by Sogami's work, we present a modification of our previous scheme to formulate the spontaneously broken gauge theory in non-commutative geometry on the discrete space M4 ×Z2 by introducing the generation mixing matrix K in dχ operation on the fields ai(x, y) which compose the gauge and Higgs fields. The standard model is reconstructed according to the modified scheme, which does not yield not only any special relations between the particle masses but also the special restriction on the Higgs potential.


URL : http://ptp.ipap.jp/link?PTP/94/1121/
DOI : 10.1143/PTP.94.1121

[ Full Text PDF : FREE ACCESS (553K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 95 No. 5 (1996) pp. 969-984 :
    New Incorporation of the Strong Interaction in NCG and Standard Model
    Yoshitaka Okumura
  2. Progress of Theoretical Physics Vol. 96 No. 5 (1996) pp. 1021-1035 :
    Non-Commutative Differential Geometry on Discrete Space M4 ×ZN and Gauge Theory
    Yoshitaka Okumura
  3. Progress of Theoretical Physics Vol. 98 No. 1 (1997) pp. 187-209 :
    Fine-Tuning Problem in a Left-Right Symmetric Model and Sogami's Generalized Covariant Derivative Method
    Eizou Umezawa
  4. Progress of Theoretical Physics Vol. 101 No. 5 (1999) pp. 1105-1118 :
    Left-Right Symmetric Model from Geometric Formulation of Gauge Theory in M4 ×Z2 ×Z2
    Gaku Konisi, Ziro Maki, Mikio Nakahara and Takesi Saito

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