Creation of unstable particles and decoherence in semiclassical cosmology

TL;DR

This paper demonstrates that in a simple cosmological model, the creation of unstable particles leads to decoherence, which is essential for the quantum-to-classical transition in semiclassical cosmology.

Contribution

It introduces a rigorous mathematical framework showing how unstable particle creation induces decoherence, supporting the quantum to classical transition in cosmological models.

Findings

Unstable particle creation triggers decoherence.

Decoherence facilitates the quantum to classical transition.

Rigged Hilbert spaces provide a mathematical basis for these phenomena.

Abstract

We consider a simple cosmological model in order to show the importance of unstable particle creation for the validity of the semiclassical approximation. Using the mathematical structure of rigged Hilbert spaces we show that particle creation is the seed of decoherence which enables the quantum to classical transition.