Ghost free Massive Gravity in the Stückelberg language

Details Ghost free Massive Gravity in the Stückelberg language Ghost free Massive Gravity in the Stückelberg language

2011-07-19

arxiv.org/abs/1107.3820v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/j.physletb.2012.03.081

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 St\"uckelberg 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 St\"uckelberg formalisms the vanishing of the determinant of a Hessian guarantees the absence of the BD ghost.

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