Covering groups of the gauge group for the standard elementary particle model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, LaTeX2e

Scientific paper

10.1016/S0550-3213(98)00101-1

We determine all Lie groups compatible with the gauge structure of the Standard Elementary Particle Model (SM) and their representations. The groups are specified by congruence equations of quantum numbers. By comparison with the experimental results, we single out one Lie group and show that this choice implies certain old and new correlations between the quantum numbers of the SM quantum fields as well as some hitherto unknown group theoretical properties of the Higgs mechanism.

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