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arXiv · 1610.07991

Gauges and functional measures in quantum gravity II: Higher derivative gravity

N. Ohta·R. Percacci·A. D. Pereira
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Abstract

We compute the one-loop divergences in a higher-derivative theory of gravity including Ricci tensor squared and Ricci scalar squared terms, in addition to the Hilbert and cosmological terms, on an (generally off-shell) Einstein background. We work with a two-parameter family of parametrizations of the graviton field, and a two-parameter family of gauges. We find that there are some choices of gauge or parametrization that reduce the dependence on the remaining parameters. The results are invariant under a recently discovered "duality" that involves the replacement of the densitized metric by a densitized inverse metric as the fundamental quantum variable.

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N. Ohta, R. Percacci, A. D. Pereira. 2017-09-13. Gauges and functional measures in quantum gravity II: Higher derivative gravity. https://doi.org/10.1140/epjc%2Fs10052-017-5176-z

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