Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 77, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-017-5176-z
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Funding
- JSPS [16K05331]
- CNPq
- Grants-in-Aid for Scientific Research [16K05331] Funding Source: KAKEN
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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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