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Title: Effective field theory of broken spatial diffeomorphisms
Authors: Lin, Chunshan
Labun, Lance Z.
Keywords: Classical Theories of Gravity
Effective field theories
Issue Date: Mar-2016
Publisher: Springer Verlag
Journal title: Journal of High Energy Physics
Volume: 2016
Thesis number: 128
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.
Rights: © 2016, The Author(s).
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP03(2016)128
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