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Title: Ghosts, strong coupling, and accidental symmetries in massive gravity

Abstract

We show that the strong self-interaction of the scalar polarization of a massive graviton can be understood in terms of the propagation of an extra ghostlike degree of freedom, thus relating strong coupling to the sixth degree of freedom discussed by Boulware and Deser in their Hamiltonian analysis of massive gravity. This enables one to understand the Vainshtein recovery of solutions of massless gravity as being due to the effect of the exchange of this ghost, which gets frozen at distances larger than the Vainshtein radius. Inside this region, we can trust the two-field Lagrangian perturbatively, while at larger distances one can use the higher derivative formulation. We also compare massive gravity with other models, namely, deconstructed theories of gravity, as well as the Dvali-Gabadadze-Porrati model. In the latter case, we argue that the Vainshtein recovery process is of a different nature, not involving a ghost degree of freedom.

Authors:
 [1];  [2]
  1. APC, 11 place Marcelin Berthelot, 75005 Paris Cedex 05 (France)
  2. Department of Physics, New York University, 4 Washington Place, New York, New York 10003 (United States)
Publication Date:
OSTI Identifier:
20711338
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.72.044003; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPARATIVE EVALUATIONS; DEGREES OF FREEDOM; DISTANCE; GRAVITATION; HAMILTONIANS; LAGRANGIAN FUNCTION; MATHEMATICAL SOLUTIONS; PARTICLE INTERACTIONS; POLARIZATION; SCALARS; STRONG-COUPLING MODEL; SYMMETRY

Citation Formats

Deffayet, C, GReCO/IAP, 98 bis boulevard Arago, 75014 Paris, and Rombouts, J -W. Ghosts, strong coupling, and accidental symmetries in massive gravity. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.044003.
Deffayet, C, GReCO/IAP, 98 bis boulevard Arago, 75014 Paris, & Rombouts, J -W. Ghosts, strong coupling, and accidental symmetries in massive gravity. United States. https://doi.org/10.1103/PhysRevD.72.044003
Deffayet, C, GReCO/IAP, 98 bis boulevard Arago, 75014 Paris, and Rombouts, J -W. Mon . "Ghosts, strong coupling, and accidental symmetries in massive gravity". United States. https://doi.org/10.1103/PhysRevD.72.044003.
@article{osti_20711338,
title = {Ghosts, strong coupling, and accidental symmetries in massive gravity},
author = {Deffayet, C and GReCO/IAP, 98 bis boulevard Arago, 75014 Paris and Rombouts, J -W},
abstractNote = {We show that the strong self-interaction of the scalar polarization of a massive graviton can be understood in terms of the propagation of an extra ghostlike degree of freedom, thus relating strong coupling to the sixth degree of freedom discussed by Boulware and Deser in their Hamiltonian analysis of massive gravity. This enables one to understand the Vainshtein recovery of solutions of massless gravity as being due to the effect of the exchange of this ghost, which gets frozen at distances larger than the Vainshtein radius. Inside this region, we can trust the two-field Lagrangian perturbatively, while at larger distances one can use the higher derivative formulation. We also compare massive gravity with other models, namely, deconstructed theories of gravity, as well as the Dvali-Gabadadze-Porrati model. In the latter case, we argue that the Vainshtein recovery process is of a different nature, not involving a ghost degree of freedom.},
doi = {10.1103/PhysRevD.72.044003},
url = {https://www.osti.gov/biblio/20711338}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 4,
volume = 72,
place = {United States},
year = {2005},
month = {8}
}