Finite particle creation in 3+1 de Sitter space

TL;DR

This paper calculates finite particle creation in 3+1 de Sitter space using an observer-dependent geometric approach and Bogolubov transformations, providing insights into quantum field behavior in curved spacetime.

Contribution

It introduces a method to compute finite particle creation in de Sitter space using a geometric, observer-dependent quantization approach.

Findings

Particle creation is finite in 3+1 de Sitter space.

The method employs an observer-dependent geometric time.

Bogolubov transformations relate different spacelike surface quantizations.

Abstract

In this paper we calculate the particle creation as seen by a stationary observer in 3+1 de Sitter space. This particle creation is calculated using an observer dependent geometrically based definition of time which is used to quantize a field on two different spacelike surfaces. The Bogolubov transformation relating these two quantizations is then calculated and the resulting particle creation is shown to be finite.