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On the covariant description of spontaneously broken symmetry in general field theory
Author(s) -
Hans Ludwig Joos,
E. Weimar
Publication year - 1976
Publication title -
il nuovo cimento a
Language(s) - English
Resource type - Journals
ISSN - 0369-3546
DOI - 10.1007/bf02730117
Subject(s) - degenerate energy levels , symmetry (geometry) , covariant transformation , unitary state , homogeneous space , physics , field theory (psychology) , theoretical physics , field (mathematics) , mathematical physics , unified field theory , charge (physics) , matrix (chemical analysis) , quantum mechanics , mathematics , pure mathematics , geometry , chemistry , political science , law , chromatography
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.

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