Gauge Theory on Discrete Space M_4×Z_N and SU(5) GUT in Non-Commutative Geometry : Particles and Fields
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概要
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The previous differential calculus on discrete space M_4×Z_2 which is an underlying space-time in the non-commutative geometry for the standard model is reformulated by introducing two kinds of extra one-form basis. It is shown that the result is easily generalized to discrete space M_4×Z_N, where N signifies number of sheets or copies of M_4. It is also shown that, for N=3, SU(5) GUT with two energy scales of symmetry breaking fits naturally into the scheme, where the Higgs sector possesses the same structure as obtained by Chamseddine et al., although no spinor quantities appear in our formalism in the bosonic sector. One consequence from not using the Dirac operator at the outset is that coupling parameters in the Higgs potential no longer depend on fermion mass matrix in generation space, in particular, Higgs potentials survive even for one generation. The present formalism is proved to be equivalent to matrix formulation when N=2, 3.
- 理論物理学刊行会の論文
- 1994-05-25
著者
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Okumura Yoshitaka
Department Of Applied Physics Chubu Institute Of Technology
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Morita Katsusada
Department Of Physics Kyoto University
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Morita Katsusada
Department Of Physics Faculty Of Science Nagoya University
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Morita Katsusada
Department Of Physics Dalhousie University Halifax : Nagoya University
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MORITA Kenji
Department of Physics, Waseda University
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OKUMURA Yoshitaka
Department of Applied Physics, Chubu Institute of Technology Kasugai
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OKUMURA Yoshitaka
Physics Laboratory, University of Alberta
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OKUMURA Yoshitaka
Department of Applied Physics, Chubu University
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MORITA Kazuhiko
Department of Physics, Hokkaido University
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OKUMURA Yoshitaka
Department of Physics, Boston University:The Department of Natural Sciences, Chubu University
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MORITA Katsusada
Department of Physics, Faculty of Science, Nagoya University
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Morita Katsusada
Yukawa Institute for Theoretical Physics, Kyoto University
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