Resummation of Massive Gravity

Journal Article · Fri Jun 10 00:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.231101· OSTI ID:21567442

Rham, Claudia de ^[1]; Gabadadze, Gregory ^[2]; Tolley, Andrew J ^[3]

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1. Department de Physique Theorique, Universite de Geneve, 24 Quai E. Ansermet, CH-1211 Geneve (Switzerland)
2. Center for Cosmology and Particle Physics, Department of Physics, New York University, New York 10003 (United States)
3. Department of Physics, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106 (United States)

We construct four-dimensional covariant nonlinear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resume 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.

• OSTI ID: 21567442
• Journal Information: Physical Review Letters, Vol. 106, Issue 23; Other Information: DOI: 10.1103/PhysRevLett.106.231101; (c) 2011 American Institute of Physics; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DECOUPLING
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GRAVITATION
HAMILTONIANS
NONLINEAR PROBLEMS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS