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Poincare invariance, particle fields, and internal symmetry

1966; Elsevier BV; Volume: 40; Issue: 1 Linguagem: Inglês

10.1016/0003-4916(66)90232-6

1096-035X

G. Feldman, P. T. Matthews,

Black Holes and Theoretical Physics

Following Weinberg, we develop the use of finite nonunitary representations of a noncompact auxiliary group to construct local fields, corresponding to particles which belong to infinite unitary representations of the Poincare group. It is shown how these auxiliary groups are extended to form a basis for theories such as U(12), which can be used to build additional restrictions into a theory, without actually extending the invariance beyond the outer product of the Poincare group with the internal symmetry group. This is done in a covariant manner, which preserves crossing symmetry and CTP invariance, although the restrictions imposed refer physically to the static limit.