Conformally invariant wave-equations and massless fields in de Sitter spacetime

Abstract

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-Riemanian 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.

21 pages, LaTeX, some details added

References in corpus (9)

• Two-point Functions and Quantum Fields in de Sitter Universe
• Gupta-Bleuler quantization for minimally coupled scalar fields in de Sitter space
• Massive Spin-2 Field in De Sitter Space
• "Massive" vector field in de Sitter space
• Masslessness in $n$-dimensions
• Tree-level Scattering Amplitude in de Sitter Space
• Discrete Symmetries for Spinor Field in de Sitter Space
• N=1 de Sitter Supersymmetry Algebra
• Abelian Gauge Theory in de Sitter Space

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