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

Journal Article · Mon Jun 15 04:00:00 EDT 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.24.371· OSTI ID:6192224

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: 6192224
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 23:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOUNDARY CONDITIONS
COMPTON EFFECT
DIFFERENTIAL EQUATIONS
DIMENSIONS
DIRAC EQUATION
ELASTIC SCATTERING
ELECTRODYNAMICS
ELECTROMAGNETIC INTERACTIONS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
HYPERFINE STRUCTURE
INTERACTIONS
LENGTH
LEPTONS
MAGNETIC MOMENTS
MAGNETIC MONOPOLES
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
PARTIAL WAVES
PERTURBATION THEORY
POSTULATED PARTICLES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
S WAVES
SCATTERING
SCATTERING LENGTHS
SCHROEDINGER EQUATION
WAVE EQUATIONS