Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
Apr, 2011Citations per year
Abstract: (arXiv)
New Massive Gravity provides a non-linear 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.Note:
- 9 pages, typos fixed, minor corrections, to appear in Phys. Rev. D
- 04.60.Kz
- invariance: Weyl
- derivative: high
- dimension: 3
- gravitation: massive
- Born-Infeld model
- Gauss-Bonnet term
- graviton: mass
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