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.;
2017-01-01

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.
2017
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.
File in questo prodotto:
File Dimensione Formato  
OPP2.pdf

accesso aperto

Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 442.12 kB
Formato Adobe PDF
442.12 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/88141
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 41
  • ???jsp.display-item.citation.isi??? 39
social impact