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Phys. Rev. Lett. 97, 221301 (2006) [4 pages]

Fixed Points of Higher-Derivative Gravity

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Alessandro Codello*
Dipartimento di Fisica Teorica, Università di Trieste, Viale Miramare, I-34014 Trieste, Italy

Roberto Percacci
SISSA, via Beirut 4, I-34014 Trieste, Italy, and INFN, Sezione di Trieste, Italy

Received 19 July 2006; published 28 November 2006

We recalculate the beta functions of higher-derivative gravity in four dimensions using the one-loop approximation to an exact renormalization group equation. We reproduce the beta functions of the dimensionless couplings that were known in the literature, but we find new terms for the beta functions of Newton’s constant and of the cosmological constant. As a result, the theory appears to be asymptotically safe at a non-Gaussian fixed point rather than perturbatively renormalizable and asymptotically free.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.221301
DOI:
10.1103/PhysRevLett.97.221301
PACS:
04.60.−m, 11.10.Hi

*Electronic address: a.codello@gmail.com

Electronic address: percacci@sissa.it