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Unbroken flavour symmetries in confining gauge theories

Ненарушенные симметрии, связанные с ароматом, в калибровочных теориях с удержанием

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Il Nuovo Cimento A (1965-1970)

Summary

We show that in a gauge theory with a real fermionic content, a subgroupH F of flavour cannot be broken, at least order by order in a fermionic-loop expansion (generalizing the 1/N c expansion). It results thatH F is the maximal group of the general mass term that one can construct consistently with gauge and Lorentz invariance.

Riassunto

Si dimostra che, in una teorie di gauge con fermioni in una rappresentazione (globalmente) reale, un sottogruppoH F della simmetria di sapore non può rompersi (spontaneamente), almeno ordine per ordine nello sviluppo del numero dei circuiti fermionici (che generalizzano lo sviluppo in 1/N c). Risulta che il gruppoH F è il massimo gruppo di simmetria del generico termine di massa che si può costruire rispettando le invarianze di Lorentz e di gauge.

Резюме

Показывается, что в калибровочной теории с реальным фермионным содержанием подгруппаH F аромата не может быть нарушена, по крайней мере, в разложении по фермионным петлям (обобщенное 1/N c-разложение). В результате этогоH F представляет максимальную группу для общего массового члена, который может быть сконструирован непротиворечиво в случае калибровочной и Лоренцинвариантности.

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Authors and Affiliations

  1. Scuola Normale Superiore, Pisa, Italia

    S. Cecotti

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Italia

    S. Cecotti

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  1. S. Cecotti
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Перевебено ребакцпей.

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Cecotti, S. Unbroken flavour symmetries in confining gauge theories. Nuov Cim A 65, 470–478 (1981). https://doi.org/10.1007/BF02902050

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  • DOI: https://doi.org/10.1007/BF02902050

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