Ghost free massive gravity in the Stückelberg language |
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| Authors: | Claudia de Rham Gregory Gabadadze Andrew J. Tolley |
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| Affiliation: | 1. Départment de Physique Théorique and Center for Astroparticle Physics, Université de Genève, 24 Quai E. Ansermet, CH-1211 Genève, Switzerland;2. Department of Physics, Case Western Reserve University, 10900 Euclid Ave, Cleveland, OH 44106, USA;3. Center for Cosmology and Particle Physics, Department of Physics, New York University, NY 10003, USA |
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| Abstract: | Massive gravity in 4 dimensions has been shown to be free of the Boulware–Deser (BD) ghost in the ADM language for a specific choice of mass terms. We show here how this is consistent with the Stückelberg language beyond the decoupling limit, and how the constraint required to remove the BD ghost arises in this framework non-perturbatively, without the use of field redefinitions. We emphasize a subtlety in obtaining this constraint, that has been overlooked in previous literature. In both the ADM and Stückelberg formalisms the vanishing of the determinant of a Hessian guarantees the absence of the BD ghost. |
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