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Novel symmetries in Weyl-invariant gravity with massive gauge field
Ist Teil von
The European physical journal. C, Particles and fields, 2016-11, Vol.76 (11), p.1, Article 639
Ort / Verlag
Berlin/Heidelberg: Springer Berlin Heidelberg
Erscheinungsjahr
2016
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
The background field method is used to linearize the Weyl-invariant scalar–tensor gravity, coupled with a Stückelberg field. For a generic background metric, this action is found
not
to be invariant, under both a diffeomorphism and generalized Weyl symmetry, the latter being a combination of gauge and Weyl transformations. Interestingly, the quadratic Lagrangian, emerging from a background of Minkowski metric, respects both transformations
independently
. The Becchi–Rouet–Stora–Tyutin symmetry of scalar–tensor gravity coupled with a Stückelberg-like massive gauge particle, possessing a diffeomorphism and generalized Weyl symmetry, reveals that in both cases negative-norm states with unphysical degrees of freedom
do
exist. We then show that, by combining diffeomorphism and generalized Weyl symmetries, all the ghost states decouple, thereby removing the unphysical redundancies of the theory. During this process, the scalar field does not represent any dynamic mode, yet modifies the
usual
harmonic gauge condition through non-minimal coupling with gravity.