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

Дата и время публикации : 2013-07-04T17:34:57Z

Авторы публикации и институты :
P. J. Mora (Florida)
N. C. Tsamis (Crete)
R. P. Woodard (Florida)

Ссылка на журнал-издание: JCAP 10 (2013) 018
Коментарии к cтатье: 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
Первичная категория: gr-qc

Все категории : gr-qc, astro-ph.CO, hep-th

Краткий обзор статьи: 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.

Category: Physics