Conformally related massless fields in dS, AdS and Minkowski spaces

Abstract

In this paper we write down the equation for a scalar conformally coupled field simultaneously for de Sitter (dS), anti-de Sitter (AdS) and Minkowski spacetime in d-dimensions. The curvature dependence appears in a very simple way through a conformal factor. As a consequence the process of curvature free limit, including wave functions limit and two-points functions, turns to be a straightforward issue. We determine a set of modes, that we call de Sitter plane waves, which become ordinary plane waves when the curvature vanishes.

7 pages, 1 figure

References in corpus (2)

• De Sitter Waves and the Zero Curvature Limit
• Accelerated sources in de Sitter spacetime and the insufficiency of retarded fields

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