Authors: Leonardo Senatore Matias Zaldarriaga
Publish Date: 2013/09/26
Volume: 2013, Issue: 9, Pages: 148-
Abstract
Studying loop corrections to inflationary perturbations with particular emphasis on infrared factors is important to understand the consistency of the inflationary theory its predictivity and to establish the existence of the slowroll eternal inflation phenomena and its recently found volume bound In this paper we show that ζcorrelators are timeindependent at large distances at allloop level in single clock inflation We write the nth order correlators of ζ as the timeintegral of Green’s functions times the correlators of local sources that are function of the lower order fluctuations The Green’s functions are such that only nonvanishing correlators of the sources at late times can lead to non vanishing correlators for ζ at long distances When the sources are connected by high wavenumber modes the correlator is peaked at short distances and these diagrams cannot lead to a timedependence by simple diff invariance arguments When the sources are connected by long wavenumber modes one can use similar arguments once the constancy of ζ at lower orders was established Therefore the conservation of ζ at a given order follows from the conservation of ζ at the lower orders Since at treelevel ζ is constant this implies constancy at allloops by inductionThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team
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