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Conformally related massless fields in dS, AdS and Minkowski spaces

E. Huguet·J. Queva·J. Renaud
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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.

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E. Huguet, J. Queva, J. Renaud. 2006-03-09. Conformally related massless fields in dS, AdS and Minkowski spaces. https://doi.org/10.1103/physrevd.73.084025

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