Quantum equivalence of $f(R)$ gravity and scalar-tensor theories

Christian F. Steinwachs; Michael S. Ruf

Quantum equivalence of $f(R)$ gravity and scalar-tensor theories

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arxiv 1711.07486 v2 pith:YVTJZDJQ submitted 2017-11-20 gr-qc hep-th

Michael S. Ruf , Christian F. Steinwachs This is my paper · ORCID

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keywords equivalencequantumgravityscalar-tensorbrokenclassicalcomparecorrections

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abstract

We investigate whether the classical equivalence of $f(R)$ gravity and its formulation as scalar-tensor theory still holds at the quantum level. We explicitly compare the corresponding one-loop divergences and find that the equivalence is broken by off-shell quantum corrections, but recovered on-shell.

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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...

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