The Standard Model with Higgs as Gauge Field on Fourth Homotopy Group |
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Authors: | GUO Hanying LI Jianming WU Ke |
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Institution: | 1. Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing 100080, China;
2. Department of Physics, Peking University, Beijing 100871, China |
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Abstract: | Based upon a fundamental principle, the generalized gauge principle, we construct a general model with GL×G'R×Z2 gauge symmetry, where Z2 = π4(GL) is the fourth homotopy group of the gauge group GL, by means of the non-commutative differential geometry and reformulating the standard model with the Higgs field being a gauge field on the fourth homotopy group of their gauge groups. We show that in this approach not only the Higgs field is automatically introduced on an equal footing with ordinary Yang-Mills gauge potentials and there are no extra constraints among the parameters at the tree level but also most importantly the models survive quantum corrections. |
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Keywords: | standard model gauge field homotopy group noncommutative geometry |
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