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BBS algebra of theSU 2/1 electroweak ghost-gauge theory

BES алгебра для SU2/1 электрослабой теории

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Il Nuovo Cimento A (1965-1970)

Summary

We review the status and predictions of the SU2/1 model of electroweak interactions. We then construct an extended BRS algebra of the ghost-antighost symmetric type, including an ‘ anti-BRS ’ operator, as introduced by Curci and Ferrari and by Ojima. The algebra is closed and completely geometrical. It corresponds to the structural equation of a P2(M, G x G) double bundle. The grading by ghost number and the natural grading of the supergroup are combined (the ‘ fork ’ mechanism) so as to ensure that only ghost-charged states be endowed with wrong statistics. The theory predicts a single isospinor Higgs-Goldstone scalar, precisely fitting the minimal standard model.

Riassunto

Si esaminano lo stato e le previsioni del modelloSU 2/1delle interazioni elettrodeboli. Si costruisce quindi un’algebra BES estesa di tipo simmetrico fantasma-antifantasma, compreso un operatore anti-BRS introdotto da Curci e Ferrari e da Ojima. L’algebra è chiusa e oompletamente geometrica e corrisponde all’equazione strutturale di un doppio fascioP 2(M,G × G. La classificazione mediante il numero fantasma e la classificazione naturale del supergruppo sono combinate (meccanismo a forchetta) per assiourare che solo stati fantasma carichi siano dotati di statistiche sbagliate. La teoria prevede un singolo scalare isospinoriale di Higgs-Goldstone, che si adatta esattamente al modello standard minimale.

Резюме

Мы анализируем статус и пред сказания SU2/1 модели электрослабых взаимодействий. Затем мы конструируем обобщенную алгебру симметричного типа относительно «духа»-« антидуха», включая «анти-BRS» оператор, введенный Курчи и Феррари и Оджима. Предложенная алгебра является замкнутой и полностью геометрической. Алгебра соответствует структурному уравнению для Р2(.М, G х G) двойного семейства. Сортировка по числу духов и естественная сортировка супергруппы объединяются (механизм «вилки»), чтобы обеспечить, что только состояние заряженных духов обладают неправильной статистикой. Предложенная теория предсказывает синглетный изоспинорный скаляр Хиггса-Голдстоуна, точно соответствующий минимальной стандартной модели.

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Author information

Authors and Affiliations

  1. Groupe d’Astrophysique Relativiste, Observatoire de Meudon, Meudon, France

    J. Thierry Mieg

  2. Center for Particle Theory, Physics Department University of Texas, Austin, Tex.

    J. Thierry Mieg

  3. Department of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel

    Y. Ne’eman (Wolfson Chair Extraordinary of Theoretical Physics)

  4. Center for Particle Theory, Physics Department University of Texas, Austin, Tex.

    Y. Ne’eman (Wolfson Chair Extraordinary of Theoretical Physics)

Authors
  1. J. Thierry Mieg
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  2. Y. Ne’eman
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Additional information

Supported in part by the US-Israel Binational Science Foundation.

Supported in part by the US DOE Grant DE-AS05-76EED3992.

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Mieg, J.T., Ne’eman, Y. BBS algebra of theSU 2/1 electroweak ghost-gauge theory. Nuov Cim A 71, 104–118 (1982). https://doi.org/10.1007/BF02766695

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