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

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arxiv 2007.10395 v2 pith:TQ43AV54 submitted 2020-07-20 gr-qc hep-th

D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard This is my paper · ORCID
classification gr-qchep-th
keywords backgroundcorrectionsfindgravitonlogarithmicmodesitteracquires
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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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  1. Resummations for Inflationary Quantum Gravity

    gr-qc 2025-01 conditional novelty 3.0 of 10

    Secular logarithms from inflationary graviton loops can be resummed by combining a modified stochastic formalism with a modified renormalization group, though the pure-gravity sector remains incomplete.

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