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arXiv · 1711.04785

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

Michael S. Ruf·Christian F. Steinwachs
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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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Michael S. Ruf, Christian F. Steinwachs. 2017-11-13. One-loop divergences for $f(R)$ gravity. https://doi.org/10.1103/physrevd.97.044049

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