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

Journal Article · Tue Oct 01 00:00:00 EDT 2013 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2013/10/018· OSTI ID:22282636

Mora, P. J.; Woodard, R. P. ^[1]

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1. Department of Physics, University of Florida, Gainesville, FL 32611 (United States)

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.

• OSTI ID: 22282636
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

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