Generalized coherent states and quantized fields over de Sitter space

TL;DR

This paper constructs de Sitter-invariant coherent states for scalar and spinor fields, providing a framework for quantized fields and propagators in de Sitter space, advancing understanding of quantum field theory in curved spacetime.

Contribution

It introduces a generalized coherent states framework for de Sitter group representations, leading to invariant propagators for scalar and spinor fields in de Sitter space.

Findings

Constructed de Sitter-invariant coherent states for scalar and spinor fields.

Derived invariant propagators using these coherent states.

Connected coherent states with solutions to Klein-Gordon and Dirac equations.

Abstract

Using the natural extension of the notion of the generalized coherent states the scalar and spinor ones for the de Sitter group SO(4,1) are constructed. These systems of coherent states obey the de Sitter--invariant Klein-Gordon and Dirac equations and correspond to the massive spin~0 and~1/2 particles over de Sitter space. These coherent states are used for the construction of the invariant scalar and spinor propagators over de Sitter space.