Coincident Massless, Minimally Coupled Scalar Correlators on General Cosmological Backgrounds
arXiv:2302.04808 · doi:10.1103/PhysRevD.107.105023
Abstract
The coincidence limits of the massless, minimally coupled scalar propagator and its first two derivatives have great relevance for the project of summing up the leading logarithms induced by loops of inflationary gravitons. We use dimensional regularization to derive good analytic approximations for the three quantities on a general cosmological background geometry which underwent inflation.
30 pages, 5 figures, uses LaTeX2e, Version 2 revised for publication with improved figures and length of 34 pages
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