Conformally invariant wave equations and massless fields in de Sitter spacetime

Journal Article · Fri Dec 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.124014· OSTI ID:20868207

Behroozi, S; Takook, M V ^[1]; Rouhani, S; Tanhayi, M R ^[2]

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1. Department of Physics, Razi University, Kermanshah (Iran, Islamic Republic of)
2. Plasma Physics Research Center, Islamic Azad University, P.O. Box 14835-157, Tehran (Iran, Islamic Republic of)

Conformally invariant wave equations in de Sitter space, for scalar and vector fields, are introduced in the present paper. Solutions of their wave equations and the related two-point functions, in the ambient space notation, have been calculated. The Hilbert space structure and the field operator, in terms of coordinate independent de Sitter plane waves, have been defined. The construction of the paper is based on the analyticity in the complexified pseudo-Riemannian manifold, presented first by Bros et al. Minkowskian limits of these functions are analyzed. The relation between the ambient space notation and the intrinsic coordinates is then studied in the final stage.

• OSTI ID: 20868207
• Journal Information: Physical Review. D, Particles Fields, Vol. 74, Issue 12; Other Information: DOI: 10.1103/PhysRevD.74.124014; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COORDINATES
COSMOLOGY
DE SITTER GROUP
FIELD OPERATORS
HILBERT SPACE
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SCALAR FIELDS
SPACE-TIME
VECTOR FIELDS
WAVE EQUATIONS