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On the covariant description of spontaneously broken symmetry in general field theory

О ковариантном описании спонтанно нарущенной симметрии в обшей теории поля

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Il Nuovo Cimento A (1965-1970)

Summary

Reducible fieldsA(x) with degenerate vacuum which allow the unitary-symmetry transformationU −1(c)A(x)U(c)=A(x)+c are analysed. We describe the mathematical properties of the « charge integral » related to the conserved current of this spontaneously broken symmetry. Further we discuss the structure of theS-matrix theory in such a generalized field theory as a guide-line for the treatment of more complex examples of spontaneously broken symmetries.

Riassunto

Si esaminano i campi riducibiliA(x) con vuoto degenere che consentono la trasformazione di simmetria unitariaU −1(c)A(x)U(c)=A(x)+c. Si descrivono le proprietà matematiche dell’ « integrale di carica » correlato alla corrente conservata di questa simmetria spontaneamente infranta. Inoltre si discute la struttura della teoria della matriceS in tale teoria dei campi generalizzata come guida per il trattamento di esempi più complessi di simmetrie spontaneamente infrante.

Реэюме

Аналиэируются приводимые поляA(x) с вырожденным вакуумом, которые допускают унитарные преобраэования симметрииU −(x)A(x)U(x)=A(x)+c. Мы описываем математические свойства « интеграла эаряда », свяэанного с сохра-няюшимся током зтой спонтанно нарущенной симметрии. Затем мы обсуждаем структуру теорииS матрицы в такой обобшенной теории поля, как « направляюшая траектория », для рассмотрения более сложных случаев спонтанно нарущенных симметрий.

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  1. H. Joos

    Present address: DESY, Hamburg

Authors and Affiliations

  1. CERN, Geneva

    H. Joos

  2. Freie Universität, Berlin

    E. Weimar

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Joos, H., Weimar, E. On the covariant description of spontaneously broken symmetry in general field theory. Nuov Cim A 32, 283–312 (1976). https://doi.org/10.1007/BF02730117

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  • DOI: https://doi.org/10.1007/BF02730117

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