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arXiv · astro-ph/0311422

High order correlation functions for self interacting scalar field in de Sitter space

Abstract

We present the expressions of the three- and four-point correlation functions of a self interacting light scalar field in a de Sitter spacetime at tree order respectively for a cubic and a quartic potential. Exact expressions are derived and their limiting behaviour on super-horizon scales are presented. Their essential features are shown to be similar to those obtained in a classical approach.

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Francis Bernardeau, Tristan Brunier, Jean-Philippe Uzan. 2003-11-18. High order correlation functions for self interacting scalar field in de Sitter space. https://doi.org/10.1103/physrevd.69.063520

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