Quantum observables on the de Sitter spacetime
Pages 9-23
I. I. Cotăescu
Abstract. The theory of external symmetry in curved spacetimes we have proposed few years ago allows us to correctly define the operators of the quantum field theory on curved backgrounds. Particularly, despite of some doubts appeared in literature, we have shown that a well-defined energy operator can be considered on the de Sitter manifold. With its help new quantum modes were obtained for the scalar, Dirac and vector fields on the de Sitter spacetimes. A short review of these results is presented in this report.