Conformally covariant quantization of the Maxwell field in de Sitter space

Journal Article · Tue Dec 15 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.124005· OSTI ID:21313597

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

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

In this article, we quantize the Maxwell ('massless spin one') de Sitter field in a conformally invariant gauge. This quantization is invariant under the SO{sub 0}(2,4) group and consequently under the de Sitter group. We obtain a new de Sitter-invariant two-point function which is very simple. Our method relies on the one hand on a geometrical point of view which uses the realization of Minkowski, de Sitter and anti-de Sitter spaces as intersections of the null cone in R{sup 6} and a moving plane, and on the other hand on a canonical quantization scheme of the Gupta-Bleuler type.

• OSTI ID: 21313597
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 12; Other Information: DOI: 10.1103/PhysRevD.80.124005; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
CONES
DE SITTER GROUP
DE SITTER SPACE
GAUGE INVARIANCE
MINKOWSKI SPACE
QUANTIZATION
SO-2 GROUPS
SO-4 GROUPS
SPIN