Proper time method in de Sitter space

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 o...

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Bibliographic Details
Published in:arXiv.org 2015-11
Main Authors: Das, Ashok K, Kalauni, Pushpa
Format: Article
Language:English
Subjects:
Green's functions
Mathematical analysis
Operators (mathematics)
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1508.06455