Unitarity check in gravitational Higgs mechanism
The effective field theory of massive gravity has long been formulated in a generally covariant way [N. Arkani-Hamed, H. Georgi, and M. D. Schwartz, Ann. Phys. (N.Y.) 305, 96 (2003).]. Using this formalism, it has been found recently that there exists a class of massive nonlinear theories that are free of the Boulware-Deser ghosts, at least in the decoupling limit [C. de Rham and G. Gabadadze, Phys. Rev. D 82, 044020 (2010).]. In this work we study other recently proposed models that go under the name of 'gravitational Higgs theories' [A. H. Chamseddine and V. Mukhanov, J. High Energy Phys. 08 (2010) 011.]. We show that these models, although seemingly different from the effective field theories of massive gravity, are in fact equivalent to them. Furthermore, based on the results obtained in the effective field theory approach, we conclude that the gravitational Higgs theories need the same adjustment of the Lagrangian to avoid the ghosts. We also show the equivalence between the noncovariant mode decomposition used in the Higgs theories, and the covariant Stueckelberg parametrization adopted in the effective field theories, thus proving that the presence or absence of the ghost is independent of the parametrization used in either theory.
- Publication Date:
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- Resource Type:
- Journal Article
- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 83; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.83.067701; (c) 2011 American Institute of Physics
- Country of Publication:
- United States
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DECOMPOSITION; DECOUPLING; GRAVITATION; HIGGS BOSONS; HIGGS MODEL; LAGRANGIAN FUNCTION; NONLINEAR PROBLEMS; QUANTUM FIELD THEORY; UNITARITY BOSONS; CHEMICAL REACTIONS; ELEMENTARY PARTICLES; FIELD THEORIES; FUNCTIONS; MATHEMATICAL MODELS; PARTICLE MODELS; POSTULATED PARTICLES
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