Weyl-Invariant Higher Curvature Gravity Theories in n Dimensions
Jan, 2012
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Abstract: (arXiv)
We study the particle spectrum and the unitarity of the generic n-dimensional Weyl-invariant quadratic curvature gravity theories around their (anti-)de Sitter [(A)dS] and flat vacua. Weyl symmetry is spontaneously broken in (A)dS and radiatively broken at the loop level in flat space. Save the three dimensional theory (which is the Weyl-invariant extension of the new massive gravity), the graviton remains massless and the unitarity requires that the only viable Weyl-invariant quadratic theory is the Weyl-invariant extension of the Einstein-Gauss-Bonnet theory. The Weyl gauge field on the other hand becomes massive. Symmetry breaking scale fixes all the dimensionful parameters in the theory.Note:
- 14 pages, references added, To appear in Phys. Rev. D
- 04.50.Kd
- 04.60.Kz
- invariance: Weyl
- curvature: high
- quantum gravity: any-dimensional
- particle: spectrum
- symmetry breaking
- unitarity
- space-time: anti-de Sitter
- space-time: de Sitter
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