Generalized coherent states and invariant propagators for massive spin 0 and 1/2 fields over de Sitter space

Abstract

Two different systems of the generalized coherent states for the de Sitter group are constructed. These systems have the physical sense of particles and antiparticles over de Sitter space and obeys the Klein-Gordon equation. Using these systems the de Sitter-invariant propagators for massive spin~0 and~1/2 fields over de Sitter space are constructed.

This paper has been withdrawn since its results now explained in hep-th/0001040 and hep-th/0001069