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arXiv · 1104.0601

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

Suat Dengiz·Bayram Tekin
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Abstract

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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Suat Dengiz, Bayram Tekin. 2011-06-29. Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories. https://doi.org/10.1103/physrevd.84.024033

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