We derive the one-loop beta functions for a theory of gravity with generic action containing up to four derivatives. The calculation is done in arbitrary dimension and on an arbitrary background. The special cases of three, four, near four, five and six dimensions are discussed in some detail. In all these dimensions there are nontrivial UV fixed points (FPs), which mean that within the approximations there are asymptotically safe trajectories. We also find an indication that a Weyl-invariant FP exists in four dimensions. The new massive gravity in three dimensions does not correspond to a FP. © 2014 IOP Publishing Ltd.

Higher derivative gravity and asymptotic safety in diverse dimensions / Ohta, N.; Percacci, Roberto. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 31:1(2014), pp. 1-30. [10.1088/0264-9381/31/1/015024]

Higher derivative gravity and asymptotic safety in diverse dimensions

Percacci, Roberto
2014-01-01

Abstract

We derive the one-loop beta functions for a theory of gravity with generic action containing up to four derivatives. The calculation is done in arbitrary dimension and on an arbitrary background. The special cases of three, four, near four, five and six dimensions are discussed in some detail. In all these dimensions there are nontrivial UV fixed points (FPs), which mean that within the approximations there are asymptotically safe trajectories. We also find an indication that a Weyl-invariant FP exists in four dimensions. The new massive gravity in three dimensions does not correspond to a FP. © 2014 IOP Publishing Ltd.
2014
31
1
1
30
015024
https://arxiv.org/abs/1308.3398
Ohta, N.; Percacci, Roberto
File in questo prodotto:
File Dimensione Formato  
percacci_ohta.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 876.95 kB
Formato Adobe PDF
876.95 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

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/20.500.11767/14250
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 74
  • ???jsp.display-item.citation.isi??? 70
social impact