Ghost free massive gravity in the Stückelberg language

Claudia de Rham; Gregory Gabadadze; Andrew J. Tolley

doi:10.1016/j.physletb.2012.03.081

Ghost free massive gravity in the Stückelberg language

Claudia de Rham, Gregory Gabadadze, Andrew J. Tolley

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	190-195
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	711
Issue number	2
DOIs	https://doi.org/10.1016/j.physletb.2012.03.081
State	Published - May 3 2012

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2012.03.081

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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 St{\"u}ckelberg 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 St{\"u}ckelberg formalisms the vanishing of the determinant of a Hessian guarantees the absence of the BD ghost.",

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note = "Funding Information: We would like to thank S. Dubovsky and D. Pirtskhalava for useful discussions. C.d.R. is funded by the SNF and the work of G.G. was supported by NSF grant PHY-0758032 .",

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AU - Gabadadze, Gregory

AU - Tolley, Andrew J.

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AB - 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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Ghost free massive gravity in the Stückelberg language

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