Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories

Details Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories

2011-04-04

arxiv.org/abs/1104.0601v3

Phys.Rev.D84:024033,2011

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, typos fixed, minor corrections, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.84.024033

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.

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