One-loop graviton corrections to conformal scalars on a de Sitter background

We exploit a recent computation of one graviton loop corrections to the self-mass [D. Glavan et al., Single graviton loop contribution to the self-mass of a massless, conformally coupled scalar on a de Sitter background, Phys. Rev. D 101, 106016 (2020).] to quantum correct the field equation for a m...

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Bibliographic Details
Published in:Physical review. D 2021-05, Vol.103 (10), p.1, Article 105022
Main Authors: Glavan, D., Miao, S. P., Prokopec, T., Woodard, R. P.
Format: Article
Language:English
Subjects:
Gravitons
Logarithms
Plane waves
Scalars
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Summary:We exploit a recent computation of one graviton loop corrections to the self-mass [D. Glavan et al., Single graviton loop contribution to the self-mass of a massless, conformally coupled scalar on a de Sitter background, Phys. Rev. D 101, 106016 (2020).] 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 R2 ϕ2 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.103.105022