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arXiv · 2007.10395

One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background

D. Glavan·S. P. Miao·T. Prokopec·R. P. Woodard
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Abstract

We exploit a recent computation of one graviton loop corrections to the self-mass [1] to quantum-correct the field equation for a massless, conformally coupled scalar on a de Sitter background. With the obvious choice for the finite part of the $R^2 \phi^2$ counterterm, we find that neither plane wave mode functions nor the response to a point source acquires large infrared logarithms. However, we do find a decaying logarithmic correction to the mode function and a short distance logarithmic running of the potential in addition to the power-law effect inherited from flat space.

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D. Glavan, S. P. Miao, T. Prokopec, R. P. Woodard. 2020-07-20. One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background. https://doi.org/10.1103/physrevd.103.105022

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