Revisiting the conformal invariance of the scalar field: from Minkowski space to de Sitter space

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dc.creatorHuguet, E.
dc.creatorQueva, J.
dc.creatorRenaud, J.
dc.date2008-01-24
dc.date2008-09-18
dc.date.accessioned2026-07-07T11:55:31Z
dc.date.available2026-07-07T11:55:31Z
dc.descriptionIn this article, we clarify the link between the conformal (i.e. Weyl) correspondence from the Minkowski space to the de Sitter space and the conformal (i.e. SO(2,$d$)) invariance of the conformal scalar field on both spaces. We exhibit the realization on de Sitter space of the massless scalar representation of SO$(2,d)$. It is obtained from the corresponding representation in Minkowski space through an intertwining operator inherited from the Weyl relation between the two spaces. The de Sitter representation is written in a form which allows one to take the point of view of a Minkowskian observer who sees the effect of curvature through additional terms.
dc.descriptionAccepted for publication in Phys. Rev. D. 4 pages, revtex4. Corrected typos, and a minor sign changes: in the explicit expression of the action of a special conformal transformation (page 2 v2), in the last expression of Y^H (page 4 v3)
dc.identifierhttps://arxiv.org/abs/0801.3769
dc.identifierhttp://arxiv.org/abs/0801.3769
dc.identifierPhys.Rev.D77:044025,2008
dc.identifierdoi:10.1103/PhysRevD.77.044025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205268
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleRevisiting the conformal invariance of the scalar field: from Minkowski space to de Sitter space
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