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

TL;DR

This paper constructs two systems of generalized coherent states for the de Sitter group, representing particles and antiparticles, and uses them to derive invariant propagators for massive spin 0 and 1/2 fields in de Sitter space.

Contribution

It introduces two new systems of generalized coherent states for the de Sitter group that correspond to particles and antiparticles, enabling the construction of invariant propagators.

Findings

Constructed coherent states representing particles and antiparticles.

Derived de Sitter-invariant propagators for massive spin 0 and 1/2 fields.

Established a framework for analyzing quantum fields in 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.