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The Third Structure Function

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arxiv 2407.07864 v3 pith:XYRFEPPL submitted 2024-07-10 gr-qc hep-th

classification gr-qchep-th
keywords backgroundtensordifferentiallinearizedoperatorsscalarstructurethird
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We re-consider the graviton self-energy induced by a loop of massless, minimally coupled scalars on de Sitter background. On flat space background it can be represented as a sum of two tensor differential operators acting on scalar structure functions. On a general background these tensor differential operators can be constructed from the linearized Ricci scalar and the linearized Weyl tensor. However, in cosmology one requires a third contribution which we derive here.

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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 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.

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