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Fifth International Conference on Mathematical Methods in Physics (IC2006), Rio de Janeiro : Brésil (2006)
Quantum Field Theory in de Sitter space : A survey of recent approaches.
J.-P. Gazeau1, M. Lachièze-Rey1

We present a survey of rigourous quantization results obtained in recent works on quantum free fields in de Sitter space. For the "massive'' cases which are associated to principal series representations of the de Sitter group SO_0(1,4), the construction is based on analyticity requirements on the Wightman two-point function. For the "massless'' cases (e.g. minimally coupled or conformal), associated to the discrete series, the quantization schemes are of the Gupta-Bleuler-Krein type.
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
Physique/Physique des Hautes Energies - Théorie

Mathématiques/Physique mathématique

Physique/Physique mathématique

Physique/Physique Quantique

Physique/Relativité Générale et Cosmologie Quantique
Quantum field theory – curved space-time – de Sitter physics – cosmological constant
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