Resummation of Massive Gravity

Details Resummation of Massive Gravity Resummation of Massive Gravity

2010-11-04

arxiv.org/abs/1011.1232v2

Phys.Rev.Lett.106:231101,2011

Physics

High Energy Physics

High Energy Physics - Theory

v2: typos corrected; one discussion streamlined, one reference added

Scientific paper

10.1103/PhysRevLett.106.231101

We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resum explicitly all the nonlinear terms of an effective field theory of massive gravity. We show that away from the decoupling limit the Hamiltonian constraint is maintained at least up to and including quartic order in non-linearities, hence, excluding the possibility of the Boulware-Deser ghost up to this order. We also show that the same remains true to all orders in a similar toy-model.

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