Non-Commutative Differential Geometry and Standard Model
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概要
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We incorporate Sogami's idea inth astandard model into our previous formulation of non-commutative differential geometry by extending the action of the extra exterior derivative operator on spinors defined over the discerte space-time M_4×Z_2. The extension consists in making it possible to require that the oparator become nilpotent whin acting on the spinors. It is shown that the generalized field strength leads to the most general, gauge-invariant Yang-Mills-Higgs lagrangian even of tje extra exterior derivative operator is not nilpotent, while the fermionic part remains intact. A proof is given for a single Higgs model. The method is applied to reformulate the standard model by putting left-handed fermion doublets on the upper sheet and right-handed fermion singlets on the lower sheet with generation mixing among quarks being raken into account. We also present a matrix calculus of the method without referring to descrete space-time.
- 理論物理学刊行会の論文
- 1996-01-25
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 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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