Spontaneous symmetry breaking and fermion chirality in higher-dimensional gauge theory |
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Authors: | C. Wetterich |
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Affiliation: | Institute for theoretical Physics, University of Bern, Sidlerstr. 5, CH-3012 Bern, Switzerland |
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Abstract: | The number of chiral fermions may change in the course of spontaneous symmetry breaking. We discuss solutions of a six-dimensional Einstein-Yang-Mills theory based on SO(12). In the resulting effective four-dimensional theory they can be interpreted as spontaneous breaking of a gauge group SO(10) to . For all solutions, the fermions which are chiral with respect to form standard generations. However, the number of generations for the solutions with broken SO(10) may be different compared to the symmetric solutions. All solutions considered here exhibit a local generation group SU(2)G × U(1)G. For the solutions with broken SO(10) symmetry, the leptons and quarks within one generation transform differently with respect to SU(2)G × U(1)G. Spontaneous symmetry breaking also modifies the SO(10) relations among Yukawa couplings. All this has important consequences for possible fermion mass relations obtained from higher-dimensional theories. |
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