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

Published 20 Nov 2017 in gr-qc and hep-th | (1711.07486v2)

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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