Connes' Gauge Theory and the Clifford Product : Particles and fields
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概要
- 論文の詳細を見る
This paper introduces a new differential geometry to formulate Connes' gauge theory which ecovers Yang-Mills, Yang-Mills-Higgs and the bosonic sector of N=2 and 4 super Yang-Mills gauge theories, given the fermionic sectors. In this formalism the Clifford product replaces the usual wedge (or exterior) product. Application to the standard model is discussed in detail. It is shown that the hypercharge assignment of fermions is determined up to a scale by a single parameter which can be fixed by the anomaly free condition, or the unimodularity condition. It is also shown that SU(5) relations among gauge coupling constants are obtained without assuming local SU(5) symmetry but from a global symmetry.
- 理論物理学刊行会の論文
- 1996-10-25
著者
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Morita Katsusada
Department Of Physics Dalhousie University Halifax : Nagoya University
-
MORITA Kenji
Department of Physics, Waseda University
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MORITA Kazuhiko
Department of Physics, Hokkaido 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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