Dynamics of Massive Scalar Fields in dS Space and the dS/CFT Correspondence

TL;DR

This paper explores the geometric properties of de Sitter space, analyzes scalar field dynamics, and discusses the dS/CFT correspondence, including boundary singularities and mass bounds, contributing to the understanding of quantum gravity in cosmological settings.

Contribution

It provides explicit geometric descriptions, constructs a bulk-boundary propagator, and demonstrates the dS/CFT correspondence along with Strominger's mass bound.

Findings

Singularities of wavefunctions at the boundary are demonstrated.

A bulk-boundary propagator is constructed from solutions of equations of motion.

The dS/CFT correspondence and Strominger's mass bound are established.

Abstract

Global geometric properties of dS space are presented explicitly in various coordinates. A Robertson-Walker like metric is deduced, which is convenient to be used in study of dynamics in dS space. Singularities of wavefunctions of massive scalar fields at boundary are demonstrated. A bulk-boundary propagator is constructed by making use of the solutions of equations of motion. The dS/CFT correspondence and the Strominger's mass bound is shown.