Scalar correlation functions for a double-well potential in de Sitter space

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http://hdl.handle.net/10138/320501

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Markkanen , T & Rajantie , A 2020 , ' Scalar correlation functions for a double-well potential in de Sitter space ' , Journal of Cosmology and Astroparticle Physics , no. 3 , 049 . https://doi.org/10.1088/1475-7516/2020/03/049

Title: Scalar correlation functions for a double-well potential in de Sitter space
Author: Markkanen, Tommi; Rajantie, Arttu
Other contributor: University of Helsinki, Helsinki Institute of Physics
Date: 2020-03
Language: eng
Number of pages: 23
Belongs to series: Journal of Cosmology and Astroparticle Physics
ISSN: 1475-7516
DOI: https://doi.org/10.1088/1475-7516/2020/03/049
URI: http://hdl.handle.net/10138/320501
Abstract: We use {the spectral representation of }the stochastic Starobinsky-Yokoyama approach to compute correlation functions in de Sitter space for a scalar field with a symmetric or asymmetric double-well potential. The terms in the spectral expansion are determined by the eigenvalues and eigenfunctions of the time-independent Fokker-Planck differential operator, and we solve them numerically. The long-distance asymptotic behaviour is given by the lowest state in the spectrum, but we demonstrate that the magnitude of the coeffients of different terms can be very different, and the correlator can be dominated by different terms at different distances. This can give rise to potentially observable cosmological signatures. In many cases the dominant states in the expansion do not correspond to small fluctuations around a minimum of the potential and are therefore not visible in perturbation theory. We discuss the physical interpretation these states, which can be present even when the potential has only one minimum.
Subject: 114 Physical sciences
physics of the early universe
quantum field theory on curved space
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