High Energy Particle Physics

    

The System of Equations Describing 4 Generations with the Symmetry Group SU (3)C × SU (2)L × U (1)

Authors: Michael A. Ivanov

The system of 16-component equations including two equations of the Bethe-Salpeter kind (without an interaction) and two additional condi- tions are considered. It is shown that the group of the initial symmetry is SU (3)C × SU (2)L × U (1). The symmetry group is established as the consequence of the field equations; SU (2) should be chiral, the color space has the signature (+ + −). The structure of permissible multiplets of the group coincides with the one postulated in the SU (3)C × SU (2)L -model of strong and electroweak interactions excluding the possible existence of the additional SU (2)R -singlet in a generation. This paper (in Russian) was deposited in VINITY 19.12.1988 as ВИНИТИ № 8842-В88; it was an important stage in the development of my model of the composite fundamental fermions (see hep-th/0207210). Now I have translated it in English (small corrections are made) to do more available.

Comments: 8 Pages. The Fourth Zeldovich virtual meeting, September 7-11, 2020

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Submission history

[v1] 2020-06-20 05:35:01
[v2] 2020-07-12 08:24:25
[v3] 2020-09-07 04:55:17

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