Relative Unitary Implementability of Perturbed Quantum Field Dynamics on de-Sitter Space

TL;DR

This paper investigates the quantum dynamics of Klein-Gordon fields on de-Sitter space, demonstrating non-unitary implementability of free evolution and unitary implementability when perturbed by a local potential.

Contribution

It establishes conditions under which the perturbed quantum field dynamics on de-Sitter space are unitarily implementable, extending understanding of quantum field evolution in curved spacetime.

Findings

Free Klein-Gordon evolution is not unitarily implementable.

Perturbed dynamics with a local potential are unitarily implementable.

Provides mathematical proof of these properties in de-Sitter space.

Abstract

In this article, we study the quantum dynamics of a Klein-Gordon field on de-Sitter space. We prove time evolution is not unitarily implementable. We also consider a Klein-Gordon field perturbed by a local potential V. In this case we prove that the deviation from the V=0 dynamics is unitarily implementable.