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Remembrance of Things Past

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arxiv 2305.17641 v2 pith:TCSS3RVV submitted 2023-05-28 gr-qc hep-th

R. P. Woodard , B. Yesilyurt This is my paper · ORCID
classification gr-qchep-th
keywords analyticbackgroundevolutionexpansionhistoryinflationlargeprimordial
verification ladder T0 review T1 audit T2 compute T3 formal
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Nonlinear sigma models on de Sitter background have proved a useful prototype for quantum gravity in summing the large logarithms which arise from loop corrections. We consider a model whose evolution is described, at leading logarithm order, by the trace of the coincident, doubly differentiated scalar propagator. An analytic approximation for this quantity on an arbitrary expansion history is applied to generalize the resummed de Sitter result to any cosmological background which has experienced primordial inflation. In addition to analytic expressions, we present explicit numerical results for the evolution in a plausible expansion history. The large scales of primordial inflation are transmitted to late times.

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Cited by 2 Pith papers

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

  1. 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.

  2. 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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