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

Journal Article · Wed Jul 15 00:00:00 EDT 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.24.371· OSTI ID:6457601

Castell, L; Heidenreich, W

We construct representations of a fourfold covering group of SO/sub 0/(3,2) (metaplectic group) by para-Bose operators. An SO/sub 0/(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.

• Research Organization: Max-Planck-Institut, Starnberg, West Germany
• OSTI ID: 6457601
• Journal Information: Phys. Rev. D; (United States), Vol. 24:2
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL MODELS
SPACE-TIME
SCATTERING
SO GROUPS
EIGENVALUES
ENERGY-MOMENTUM TENSOR
GENERAL RELATIVITY THEORY
MASS
MASSLESS PARTICLES
MINKOWSKI SPACE
QUANTUM FIELD THEORY
ELEMENTARY PARTICLES
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
SPACE
SYMMETRY GROUPS
TENSORS
640106* - Astrophysics & Cosmology- Cosmology