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On the power counting of loop diagrams in general relativity

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arxiv hep-th/9602121 v1 pith:JOZUTXGH submitted 1996-02-22 hep-th gr-qchep-ph

J. F. Donoghue , T. Torma (University of Massachusetts) This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords diagramsenergyexpansionbehaviorcountinggaugegeneralloop
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A class of loop diagrams in general relativity appears to have a behavior which would upset the utility of the energy expansion for quantum effects. We show through the study of specific diagrams that cancellations occur which restore the expected behaviour of the energy expansion. By considering the power counting in a physical gauge we show that the apparent bad behavior is a gauge artifact, and that the quantum loops enter with a well behaved energy expansion.

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Cited by 3 Pith papers

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  1. Graviton Propagator in a 2-Parameter Family of de Sitter Breaking Gauges

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    The authors derive the first-order graviton propagator perturbations in a two-parameter family of de Sitter-breaking gauges, generalizing flat-space gauge-dependence checks to curved spacetime.

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    Gauge dependence cancels in the one-loop effective scalar equation in de Sitter when all diagram contributions including external mode corrections are collected.

  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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