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.

Gauges and functional measures in quantum gravity II: higher-derivative gravity / Ohta, N.; Percacci, R.; Pereira, A. D.. - In: THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS. - ISSN 1434-6044. - 77:9(2017), pp. 611-628. [10.1140/epjc/s10052-017-5176-z]

Gauges and functional measures in quantum gravity II: higher-derivative gravity

Ohta, N.;Percacci, R.;
2017

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.
77
9
611
628
https://doi.org/10.1140/epjc/s10052-017-5176-z
https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-017-5176-z#citeas
https://arxiv.org/abs/1610.07991
Ohta, N.; Percacci, R.; Pereira, A. D.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/88141
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