IR divergences and kinetic equation in de Sitter space. (Poincare patch; principal series)

A bstract We explicitly show that the one loop IR correction to the two-point function in de Sitter space scalar QFT does not reduce just to the mass renormalization. The proper interpretation of the loop corrections is via particle creation revealing itself through the generation of the quantum ave...

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Bibliographic Details
Published in:The journal of high energy physics 2012-01, Vol.2012 (1), Article 66
Main Author: Akhmedov, E. T.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Harmonics
High energy physics
Kinetic equations
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Scalars
String Theory
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Summary:A bstract We explicitly show that the one loop IR correction to the two-point function in de Sitter space scalar QFT does not reduce just to the mass renormalization. The proper interpretation of the loop corrections is via particle creation revealing itself through the generation of the quantum averages and , which slowly change in time. We show that this observation in particular means that loop corrections to correlation functions in de Sitter space can not be obtained via analytical continuation of those calculated on the sphere. We find harmonics for which the particle number dominates over the anomalous expectation values and . For these harmonics the Dyson-Schwinger equation reduces in the IR limit to the kinetic equation. We solve the latter equation, which allows us to sum up all loop leading IR contributions to the Whiteman function. We perform the calculation for the principle series real scalar fields both in expanding and contracting Poincare patches.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2012)066