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2011

Helicity Decomposition of Ghost-free Massive Gravity

de Rham, Claudia, Gabadadze, Gregory, Tolley, Andrew J.

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We perform a helicity decomposition in the full Lagrangian of the class of Massive Gravity theories previously proven to be free of the sixth (ghost) degree of freedom via a Hamiltonian analysis.

We demonstrate, both with and without the use of nonlinear field redefinitions, that the scale at which the first interactions of the helicity-zero mode come in is $\Lambda_3=(M_Pl m^2)^{1/3}$, and that this is the same scale at which helicity-zero perturbation theory breaks down.
We show that the number of propagating helicity modes remains five in the full nonlinear theory with sources.
We clarify recent misconceptions in the literature advocating the existence of either a ghost or a breakdown of perturbation theory at the significantly lower energy scales, $\Lambda_5=(M_Pl m^4)^{1/5}$ or $\Lambda_4=(M_Pl m^3)^{1/4}$, which arose because relevant terms in those calculations were overlooked.

Helicity Decomposition of Ghost-free Massive Gravity · Around

Built on

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A. I. Vainshtein, “To the problem of nonvanishing gravitation mass,” Phys. Lett. B 39
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C. de Rham, G. Gabadadze, “Generalization of the Fierz-Pauli Action,” Phys. Rev. D82
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S. F. Hassan, R. A. Rosen, “Resolving the Ghost Problem in non-Linear Massive Gravity,” [arXiv:1106.3344 [hep-th]]
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C. de Rham, G. Gabadadze, A. Tolley, “Ghost free Massive Gravity in the Stúckelberg language,” [arXiv:1107.3820 [hep-th]]
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S. Folkerts, A. Pritzel and N. Wintergerst, “On ghosts in theories of self-interacting massive spin-2 particles,” arXiv:1107.3157 [hep-th]
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K. Hinterbichler, “Theoretical Aspects of Massive Gravity,” arXiv:1105.3735 [hep-th]
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A. H. Chamseddine, V. Mukhanov, “Massive Gravity Simplified: A Quadratic Action,” [arXiv:1106.5868 [hep-th]]
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K. Koyama, G. Niz and G. Tasinato, “Strong interactions and exact solutions in non-linear massive gravity,” arXiv:1104.2143 [hep-th]
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G. Chkareuli and D. Pirtskhalava, “Vainshtein Mechanism In Λ 3 \Lambda_{3} - Theories,” arXiv:1105.1783 [hep-th]
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G. D’Amico, C. de Rham, S. Dubovsky, G. Gabadadze, D. Pirtskhalava, A.J. Tolley, “Massive Cosmologies” in preparation
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Then

C. de Rham, G. Gabadadze, A. J. Tolley, “Resummation of Massive Gravity,” Phys. Rev. Lett. 106, 231101
Original
2011
Closest in time.
L. Alberte, A. H. Chamseddine and V. Mukhanov, “Massive Gravity: Exorcising the Ghost,” JHEP 1104
Original
2011
Closest in time.
C. de Rham, G. Gabadadze, L. Heisenberg, D. Pirtskhalava, “Cosmic Acceleration and the Helicity-0 Graviton,” Phys. Rev. D83
Original
2011
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