Resummation of Massive Gravity
Claudia de RhamDépartment de Physique Théorique, Université de Genève, Genève, SwitzerlandGregory GabadadzeCenter for Cosmology and Particle Physics, Department of Physics, New York University, New York 10003, USAAndrew J. TolleyDepartment of Physics, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106, USA
2011en
ABI
Annotatsiya
We construct four-dimensional covariant nonlinear 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 nonlinearities, 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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