Quantum Field Theory in de Sitter space : A survey of recent approaches.

J.-P. Gazeau (1) , M. Lachièze-Rey

1 APC (UMR_7164) - AstroParticule et Cosmologie

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.

Mots clés: Quantum field theory; curved space-time; de Sitter physics; cosmological constant

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]; Physique mathématique [math-ph]; Physique Quantique [quant-ph]; Relativité Générale et Cosmologie Quantique [gr-qc]

J.-P. Gazeau, M. Lachièze-Rey. Quantum Field Theory in de Sitter space : A survey of recent approaches.. Fifth International Conference on Mathematical Methods in Physics (IC2006), Apr 2006, Rio de Janeiro, Brazil. pp.007. ⟨hal-00109682⟩