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Large Logarithms from Quantum Gravitational Corrections to a Massless, Minimally Coupled Scalar on de Sitter

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arxiv 2112.00959 v2 pith:XHQ5ED37 submitted 2021-12-02 gr-qc astro-ph.COhep-th

D. Glavan (CEICO) S. P. Miao (NCKU) , T. Prokopec (Utrecht) , R. P. Woodard (Florida) This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords largecorrectionsfieldscalarcoupledeffectivefindgauge
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Resumming Fermion Loops for Inflationary Gravity

    gr-qc 2024-12 conditional novelty 6.0 of 10

    The 1-loop graviton self-energy from a massless fermion loop is derived on any cosmological background, and the resulting de Sitter corrections to gravitational waves and the Newtonian potential are resummed via a ren...

  2. Resumming Photon Loops for Inflationary Gravity

    gr-qc 2024-12 accept novelty 6.0 of 10

    Photon loops on de Sitter background are conserved at one loop and produce a positive, logarithmically growing correction to the Weyl tensor and Newtonian potential that resums to a power law.

  3. 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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