Higgs mechanism for new massive gravity and Weyl-invariant extensions of higher-derivative theories
PHYSICAL REVIEW D, vol.84, no.2, 2011 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 84 Issue: 2
- Publication Date: 2011
- Doi Number: 10.1103/physrevd.84.024033
- Journal Name: PHYSICAL REVIEW D
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
New massive gravity provides a nonlinear extension of the Fierz-Pauli mass for gravitons in 2 + 1 dimensions. Here we construct a Weyl-invariant version of this theory. When the Weyl symmetry is broken, the graviton gets a mass in analogy with the Higgs mechanism. In (anti)-de Sitter backgrounds, the symmetry can be broken spontaneously, but in flat backgrounds radiative corrections, at the two-loop level, break the Weyl symmetry a la Coleman-Weinberg mechanism. We also construct the Weyl-invariant extensions of some other higher-derivative models, such as the Gauss-Bonnet theory (which reduces to the Maxwell theory in three dimensions) and the Born-Infeld type gravities.