Proper time method in de Sitter space

Abstract

We use the proper time formalism to study a (non-self-interacting) massive Klein-Gordon theory in the two dimensional de Sitter space. We determine the exact Green's function of the theory by solving the DeWitt-Schwinger equation as well as by calculating the operator matrix element. We point out how the one parameter family of arbitrariness in the Green's function arises in this method.

7 pages, expanded discussion, to be published in Physical Review D

References in corpus (3)

• Lecture notes on interacting quantum fields in de Sitter space
• On the Instability of Global de Sitter Space to Particle Creation
• Hard thermal effective actions in the Schwinger formulation