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Effective field theory of broken spatial diffeomorphisms

2015/01/31 by Chunshan Lin, Lance Z. Labun · 3 citations
Physics and Astronomy · #Antisymmetric tensor #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Diffeomorphism #Dilaton #Effective field theory #Gauge theory #Goldstone boson #Gravitation #Graviton #Massive gravity #Mathematical physics #Minkowski space #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Symmetry breaking #Theoretical physics #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1007/jhep03(2016)128

26 pages, V2 more references, several remarks and a new subsection are added, V3 a major revision, with two new subsections added, as well as several new discussions on the construction of our EFT

arxiv created 2015/08/25 · openalex publication_date 2016/03/01 · arxiv updated 2016/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We study the low energy effective theory describing gravity with broken spatial diffeomorphism invariance. In the unitary gauge, the Goldstone bosons associated with broken diffeomorphisms are eaten and the graviton becomes a massive spin-2 particle with 5 well-behaved degrees of freedom. In this gauge, the most general theory is built with the lowest dimension operators invariant under only temporal diffeomorphisms. Imposing the additional shift and SO(3) internal symmetries, we analyze the perturbations on a FRW background. At linear perturbation level, the observables of this theory are characterized by five parameters, including the usual cosmological parameters and one additional coupling constant for the symmetry-breaking scalars. In the de Sitter and Minkowski limit, the three Goldstone bosons are supermassive and can be integrated out, leaving two massive tensor modes as the only propagating degrees of freedom. We discuss several examples relevant to theories of massive gravity.

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