Transverse Fierz-Pauli symmetry

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dc.creatorAlvarez, E.
dc.creatorBlas, D.
dc.creatorGarriga, J.
dc.creatorVerdaguer, E.
dc.date2006-06-02
dc.date2006-09-26
dc.date.accessioned2026-07-07T11:06:36Z
dc.date.available2026-07-07T11:06:36Z
dc.descriptionWe consider some flat space theories for spin 2 gravitons, with less invariance than full diffeomorphisms. For the massless case, classical stability and absence of ghosts require invariance under transverse diffeomorphisms (TDiff). Generic TDiff invariant theories contain a propagating scalar, which disappears if the symmetry is enhanced in one of two ways. One possibility is to consider full diffeomorphisms (Diff). The other (which we denote WTDiff) adds a Weyl symmetry, by which the Lagrangian becomes independent of the trace. The first possibility corresponds to General Relativity, whereas the second corresponds to "unimodular" gravity (in a certain gauge). Phenomenologically, both options are equally acceptable. For massive gravitons, the situation is more restrictive. Up to field redefinitions, classical stability and absence of ghosts lead directly to the standard Fierz-Pauli Lagrangian. In this sense, the WTDiff theory is more rigid against deformations than linearized GR, since a mass term cannot be added without provoking the appearance of ghosts.
dc.identifierhttps://arxiv.org/abs/hep-th/0606019
dc.identifierhttp://arxiv.org/abs/hep-th/0606019
dc.identifierNucl.Phys.B756:148-170,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.08.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189575
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTransverse Fierz-Pauli symmetry
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