Hartree Approximation to the One Loop Quantum Gravitational Correction to the Graviton Mode Function on de Sitter

Autor:	Mora, P. J., Tsamis, N. C., Woodard, R. P.
Rok vydání:	2013
Předmět:	General Relativity and Quantum Cosmology Astrophysics - Cosmology and Extragalactic Astrophysics High Energy Physics - Theory
Zdroj:	JCAP 10 (2013) 018
Druh dokumentu:	Working Paper
DOI:	10.1088/1475-7516/2013/10/018
Popis:	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 $u(\eta,k)$ goes like $G H^2 \ln(a)/a^2$, 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. Comment: 23 pages, uses LaTeX2e, version 2 expanded (by 7 pages) for publication to define the effective mode equation and compare the exact one loop result for it with the Hartree approximation
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.1422 Zobrazit plný text záznamu View this record from Arxiv