2011/04/30 by Suat Dengiz, Bayram Tekin · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.84.024033
published as Phys.Rev.D84:024033,2011 · 9 pages, typos fixed, minor corrections, to appear in Phys. Rev. D
arxiv created 2011/06/29 · openalex publication_date 2011/07/19 · arxiv updated 2011/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.