Proper time method in de Sitter space
Ashok K. Das, Pushpa Kalauni
TL;DR
This paper employs the proper time formalism to derive the exact Green's function for a massive Klein-Gordon field in two-dimensional de Sitter space, highlighting the method's inherent arbitrariness.
Contribution
It provides an exact Green's function solution in de Sitter space using the proper time method, clarifying the origin of parameter arbitrariness in the Green's function.
Findings
Exact Green's function derived for Klein-Gordon in de Sitter space
Demonstrates the proper time method's application to curved spacetime
Identifies the source of arbitrariness in Green's function parameters
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.
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