Ghost free massive gravity in the Stückelberg language

By Claudia de Rham, G. Gabadadze, A. Tolley. 2011

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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 Stuckelberg 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 Stuckelberg formalisms the vanishing of the determinant of a Hessian guarantees the absence of the BD ghost.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d2946fed319d5d7fa5f38df31f65280c728c3e67

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Citations in the corpus

On couplings to matter in massive (bi-)gravity (2014, background): “Whether the operator identified here is the most important one for the discussion and whether the substitution π ∼ N M m ̈ ( ) Pl 2 is appropriate is unclear at this stage (see [100] for a discussion of this point) and a more detailed analysis should be performed.”
Massive Cosmologies (2011, unknown): “[5]) and helicity formalisms (see Ref.”
Helicity decomposition of ghost-free massive gravity (2011, methodology): “That model was shown to be free of the ghost degree of freedom, in full generality in the ADM formalism [4] following earlier arguments in [2], and in the Stückelberg language both in the decoupling limit [2, 3] and beyond [5].”
Massive Gravity (2014, background): “2 Two-dimensional case Consider massive gravity on a two-dimensional space-time, ds(2) = −N(2) dt(2) + γ ( dx+Nx dt)(2), with the two Stückelberg fields φ [145].”