SO(3,2)-invariant scattering and Dirac singletons

Details SO(3,2)-invariant scattering and Dirac singletons SO(3,2)-invariant scattering and Dirac singletons

Jul 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981phrvd..24..371c&link_type=abstract

Physical Review D (Particles and Fields), Volume 24, Issue 2, 15 July 1981, pp.371-377

Physics

11

Scientific paper

We construct representations of a fourfold covering group of SO0(3,2) (metaplectic group) by para-Bose operators. An S~O0(3,2)-invariant scattering theory is presented, showing especially that only metaplectic representations are necessary to describe particles. The role of Dirac singletons is discussed for these scattering processes. The Rac field on de Sitter spacetime is discussed, and a group-theoretic connection to the gauge freedom of massless particles is drawn.

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