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

Journal Article · Fri Feb 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.044025· OSTI ID:21039145

Huguet, E; Queva, J ^[1]; Renaud, J ^[2]

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1. Universite Paris 7-Denis-Diderot, APC-Astroparticule et Cosmologie (UMR 7164), Batiment Condorcet, 10 rue Alice Domon et Leonie Duquet, F-75205 Paris Cedex 13 (France)
2. Universite Paris-Est, APC-Astroparticule et Cosmologie (UMR 7164), Batiment Condorcet, 10 rue Alice Domon et Leonie Duquet, F-75205 Paris Cedex 13 (France)

In 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.

• OSTI ID: 21039145
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
COSMOLOGY
DE SITTER GROUP
MINKOWSKI SPACE
QUANTUM FIELD THEORY
SCALAR FIELDS
SCALARS
SO GROUPS