Model for Lepton, Nucleon, and Pion Interactions

1972; American Physical Society; Volume: 6; Issue: 4 Linguagem: Inglês

10.1103/physrevd.6.1190

ISSN

1538-4500

Autores

William F. Palmer,

Tópico(s)

Black Holes and Theoretical Physics

Resumo

An $\mathrm{SU}{(2)}_{L}\ifmmode\times\else\texttimes\fi{}{Y}_{L}$ gauge theory is studied. The purely leptonic part is the Weinberg theory. The purely hadronic part is a form of the SU(2) \ifmmode\times\else\texttimes\fi{} SU(2) $\ensuremath{\sigma}$ model. It is shown, following the suggestion of Weinberg, that with a cross-coupling term the spontaneous breaking of the lepton symmetry induces a spontaneous breaking of the SU(2) \ifmmode\times\else\texttimes\fi{} SU(2) hadron symmetry, resulting in a partially-conserved-axial-vector-current condition for axial-vector diver-gences and pions which are Goldstone-Nambu particles in an appropriate limit.

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