Conformally related massless fields in dS, AdS and Minkowski spaces
arXiv:gr-qc/0603031 · doi:10.1103/PhysRevD.73.084025
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