Unification of SU(2)xU(1) Using a Generalized Covariant Derivative and U(3)
arXiv:hep-th/9801088 · doi:10.1142/S0217732398002126
Abstract
A generalization of the Yang-Mills covariant derivative, that uses both vector and scalar fields and transforms as a 4-vector contracted with Dirac matrices, is used to simplify and unify the Glashow-Weinberg-Salam model. Since SU(3) assigns the wrong hypercharge to the Higgs boson, it is necessary to use a special representation of U(3) to obtain all the correct quantum numbers. A surplus gauge scalar boson emerges in the process, but it uncouples from all other particles.
arXiv comment12 pages, no figures. To be published in Int. J. Mod. Phys. A