Large Logarithms from Quantum Gravitational Corrections to a Massless, Minimally Coupled Scalar on de Sitter
Abstract
We consider single graviton loop corrections to the effective field equation of a massless, minimally coupled scalar on de Sitter background in the simplest gauge. We find a large temporal logarithm in the approach to freeze-in at late times, but no correction to the feeze-in amplitude. We also find a large spatial logarithm (at large distances) in the scalar potential generated by a point source, which can be explained using the renormalization group with one of the higher derivative counterterms regarded as a curvature-dependent field strength renormalization. We discuss how these results set the stage for a project to purge gauge dependence by including quantum gravitational corrections to the source which disturbs the effective field and to the observer who measures it.
Keywords
Cite
@article{arxiv.2112.00959,
title = {Large Logarithms from Quantum Gravitational Corrections to a Massless, Minimally Coupled Scalar on de Sitter},
author = {D. Glavan and S. P. Miao and T. Prokopec and R. P. Woodard},
journal= {arXiv preprint arXiv:2112.00959},
year = {2022}
}
Comments
26 pages, 2 figures, uses LaTeX2e, Version 2 revised slightly for publication