QFT in the flat chart of de Sitter space

We study the correlators for interacting quantum field theory in the flat chart of de Sitter space at all orders in perturbation. The correlators are calculated in the in-in formalism which are often applied to the calculations in the cosmological perturbation. It is shown that these correlators are...

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Bibliographic Details
Published in:arXiv.org 2012-12
Main Authors: Korai, Yusuke, Tanaka, Takahiro
Format: Article
Language:English
Subjects:
Correlation analysis
Field theory
Mathematical analysis
Perturbation methods
Quantum field theory
Quantum theory
Online Access:Get full text
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Summary:We study the correlators for interacting quantum field theory in the flat chart of de Sitter space at all orders in perturbation. The correlators are calculated in the in-in formalism which are often applied to the calculations in the cosmological perturbation. It is shown that these correlators are de Sitter invariant. They are compared with the correlators calculated based on the Euclidean field theory. We then find that these two correlators are identical. This correspondence has been already shown graph by graph but we give an alternative proof of it by direct calculation.
ISSN:2331-8422
DOI:10.48550/arxiv.1210.6544