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Title: Hartree approximation to the one loop quantum gravitational correction to the graviton mode function on de Sitter

We use the Hartree approximation to the Einstein equation on de Sitter background to solve for the one loop correction to the graviton mode function. This should give a reasonable approximation to how the ensemble of inflationary gravitons affects a single external graviton. At late times we find that the one loop correction to the plane wave mode function u(η,k) goes like GH{sup 2}ln (a)/a{sup 2}, where a is the inflationary scale factor. One consequence is that the one loop corrections to the ''electric'' components of the linearized Weyl tensor grow compared to the tree order result.
Authors:
;  [1] ;  [2]
  1. Department of Physics, University of Florida, Gainesville, FL 32611 (United States)
  2. Institute of Theoretical Physics and Computational Physics, Department of Physics University of Crete, GR-710 03 Heraklion (Greece)
Publication Date:
OSTI Identifier:
22282636
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2013; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; CORRECTIONS; DE SITTER GROUP; DE SITTER SPACE; EINSTEIN FIELD EQUATIONS; GRAVITONS; HARTREE-FOCK METHOD; INFLATIONARY UNIVERSE; TENSORS; WAVE PROPAGATION; WEYL UNIFIED THEORY