Fermions and parity violation in dimensional reduction schemes |
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Authors: | N.S. Manton |
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Affiliation: | 1. Center for Theoretical Physics, Laboratory for Nuclear Science, Cambridge, Massachusetts 02139, USA;2. Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA |
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Abstract: | Dimensional reduction, previously applied to Yang-Mills theories, is extended to gauge theories with spinor fields. It is shown that a fairly realistic model in Minkowski space can be obtained from the simplest initial lagrangian, defined in a space-time with extra, compact dimensions. Left-right asymmetry in the fermion sector in four dimensions is possible, and its occurrence is related to a non-vanishing Atiyah-Singer index. |
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