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arXiv · 1107.3820

Ghost free Massive Gravity in the Stückelberg language

Claudia de Rham·Gregory Gabadadze·Andrew Tolley
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Abstract

Massive Gravity in four 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 nonperturbatively, 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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Claudia de Rham, Gregory Gabadadze, Andrew Tolley. 2011-07-19. Ghost free Massive Gravity in the Stückelberg language. https://doi.org/10.1016/j.physletb.2012.03.081

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