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One-loop divergences for $f(R)$ gravity

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arxiv 1711.04785 v2 pith:C6NZK6TP submitted 2017-11-13 gr-qc hep-th

Michael S. Ruf , Christian F. Steinwachs This is my paper · ORCID
classification gr-qchep-th
keywords gravityone-loopquantumresulttheoriesactionallowsapplications
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abstract

We calculate the divergent part of the one-loop effective action for $f(R)$ gravity on an arbitrary background manifold. Our result generalizes previous results for quantum corrections in $f(R)$ gravity, which have been limited to spaces of constant curvature. We discuss a new technical aspect connected to operators with degenerate principal symbol. Our result has important applications in cosmology and allows to study the quantum equivalence between $f(R)$ theories and scalar-tensor theories.

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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. Differential Obstructions to Curvature-Dependent Conformal Transformations

    gr-qc 2026-08 accept novelty 6.0 of 10

    Curvature-dependent conformal transformations such as g-tilde = F(R[g])g are not local changes of metric variables: their inverse requires solving a differential equation, so no finite-jet metric-only inverse exists g...

  2. Combinatorial aspects in the one-loop renormalization of higher derivative theories

    hep-ph 2019-09 conditional novelty 6.0 of 10

    A closed-form pairing-count formula replaces high-rank tensor contractions in one-loop divergence calculations, demonstrated on a Galileon example.

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