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

Journal Article · Wed Jul 15 04:00:00 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), Journal Name: Phys. Rev. D; (United States) Vol. 24:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

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