Ghost free massive gravity in the Stückelberg language

Claudia de Rham, Gregory Gabadadze, Andrew J. Tolley

    Research output: Contribution to journalArticlepeer-review


    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 languageEnglish (US)
    Pages (from-to)190-195
    Number of pages6
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Issue number2
    StatePublished - May 3 2012

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics


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