Dirac supermultiplet

Journal Article · Fri Oct 15 04:00:00 EDT 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.1988· OSTI ID:6634096

Fronsdal, C

The graded extension of the de Sitter space-time algebra so (3,2) is identical to the structure defined by polynomials of order 1 and 2 in the natural coordinates xi/sub 1/,xxx,xi/sub 4/ of four-dimensional phase space. Ordinary Weyl quantization gives a representation that is unique among all the representations of the graded algebra in that the Poisson bracket relations )xi/sub i/,xi/sub j/) = -C/sub i/j (which are not part of the structure of the graded algebra) are preserved. The restriction of this representation to the Lie subalgebra so (3,2) is the direct sum Didirect-sumRac of the two singleton representations. There exists a unique, supersymmetric, interacting field theory of a single Dirac multiplet. The interaction Lagrangian has the form 1/2..integral..dy(3gphi/sup 2/psi-barchi+g/sup 2/phi/sup 6/), where phi is the scalar Rac field, psi and chi are the spinor Di ''field strength'' and associated ''potential,'' and g is a real coupling constant. Applications to confinement and to composite massless particles is discussed.

• Research Organization: Department of Physics, University of California, Los Angeles, California 90024
• OSTI ID: 6634096
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:8; 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
COMPOSITE MODELS
COUPLING CONSTANTS
DE SITTER GROUP
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
HELICITY
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MULTIPLETS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
SO GROUPS
SPACE-TIME
SUPERMULTIPLETS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
WAVE EQUATIONS