Equivalence between a massive spinning particle in Minkowski space and a massless one in a de Sitter space

Journal Article · Wed Aug 15 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.839· OSTI ID:6097313

Marnelius, R; Nilsson, B

It is shown that a free massive relativistic particle can be described by a both scale- and reparametrization-invariant action with a global de Sitter symmetry. The massive particle is one gauge choice. Another gauge choice of the same theory yields a massless particle in a de Sitter space. We supersymmetrize this theory by means of the superspace technique and show that the resulting theory has the corresponding properties for the classical spinning particle. We quantize this theory and show that we either get the ordinary massive Dirac equation or the generalized massless equation in a de Sitter space.

• Research Organization: Institute of Theoretical Physics, FACK, S-40220 Goteborg 5, Sweden
• OSTI ID: 6097313
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
COSMOLOGICAL MODELS
DE SITTER GROUP
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
EQUIVALENCE PRINCIPLE
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTICLE PROPERTIES
QUANTUM OPERATORS
SCALAR FIELDS
SPACE
SPACE-TIME
SPIN
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
VECTOR FIELDS
WAVE EQUATIONS