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Group theory of spontaneous symmetry breaking

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Abstract

The connection between the minimality of the Higgs field potential and the maximal little groups of its representation obtained by spontaneous symmetry breaking is analyzed. It is shown that for several representations the lowest minimum of the potential is related to the maximal little group of those representations. Furthermore, a practical necessity criterion is given for the representation of the Higgs field needed for spontaneous symmetry breaking.

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  1. Fakultät für Physik, Universität Konstanz, D-7750, Konstanz, West Germany

    F. Ghaboussi

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  1. F. Ghaboussi
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Ghaboussi, F. Group theory of spontaneous symmetry breaking. Int J Theor Phys 26, 957–966 (1987). https://doi.org/10.1007/BF00670820

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  • DOI: https://doi.org/10.1007/BF00670820

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