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On the origin of gauge interactions by spontaneous symmetry breakdown

The relation between gauge coupling constants and symmetry breakdown masses

О происхождении калибровочных взаимодействий ири спонтанном нарушении симметрии

Соотношение между калибровочными константами связи и массами, характерными для нарушения симметрии

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Il Nuovo Cimento A (1965-1970)

Summary

Gauge interactions arise as a consequence of a spontaneous breakdown of a non-Abelian invariance groupG and relate to the unbroken subgroupH. The induced gauge fields are composed by theG/H transmutators (connecting linear and nonlinear representations). Their normalization (gauge field coupling constant) is proportional to the mass scalem 2 characteristic for the symmetry breakdown.

Riassunto

Le interazioni di gauge derivano come conseguenza di una rottura spontanea di un gruppo d'invarianzaG non abeliano e si correlano al sottogruppo non violato.H. I campi di gauge indotti sono composti di trasmutatoriG/H (che connettono rappresentazioni lineari e non lineari). La loro normalizzazione (la costante di accoppiamento del campo di gauge) è proporzionale alla scala di massam 2 caratteristica della rottura di simmetria.

Резюме

Калибровочные взаимодействия возникают как следствие спонтанного нарушения неабелевой инвариантной группыG и связаны с ненарушенной подгруппойH. Индуцированные калибровочные поля образуются с помощьюG/H преобразователей (связывая линейные и нелинейные представления). Их нормировка (постоянная связи калибровочного поля) пропорциональна массовой шкалеm 2, характерной для нарушения симметрии.

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Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, Werner-Heisenberg-Institut für Physik, München, B.R.D.

    H. Saller

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Saller, H. On the origin of gauge interactions by spontaneous symmetry breakdown. Nuov Cim A 88, 363–390 (1985). https://doi.org/10.1007/BF02902366

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  • DOI: https://doi.org/10.1007/BF02902366

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