Proof of consistency of nonlinear massive gravity in the Stückelberg formulation

By Sayed Fawad Hassan, A. Schmidt-May, M. Strauss. 2012

168 citations recorded by the source corpus.

Abstract We address some recent concerns about the absence of the Boulware–Deser ghost in the Stuckelberg formulation of nonlinear massive gravity. First we provide general arguments for why any ghost analysis in the Stuckelberg formulation has to agree with existing consistency proofs that have been carried out without using Stuckelberg fields. We then demonstrate the absence of the ghost at the completely nonlinear level in the Stuckelberg formulation of the minimal massive gravity action. The constraint that removes the ghost field and the associated secondary constraint that eliminates its conjugate momentum are computed explicitly, confirming the consistency of the theory in the Stuckelberg formulation.

Subfields: Astronomy and Astrophysics, Computational Mechanics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3fc7e8b9aec384b1717aa08fba39abf365facaee

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In Astronomy and Astrophysics

In Computational Mechanics

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In Nuclear and High Energy Physics

Citations in the corpus

Massive Gravity (2014, methodology): “By now the confusion has been clarified, and see for instance [295, 294, 400, 346, 343, 297, 15, 259] for thorough proofs addressing all the issues raised in the previous literature.”
Cosmological stability bound in massive gravity and bigravity (2013, background): “The first theory formulation of massive gravity (dRGT) in which the number of degrees of freedom nonlinearly is 5 was given in [7, 8] (see [9–17] for proofs of the absence of the Boulware-Deser ghostly 6th mode [18]), and this theory was subsequently generalized to arbitrary reference metric [10] an”