Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-08-23
Physics
High Energy Physics
High Energy Physics - Theory
32 pages, 2 figures. Typos corrected
Scientific paper
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. As an interesting byproduct of our analysis, we show that it is possible to derive the Stueckelberg formalism from the helicity decomposition, without ever invoking diffeomorphism invariance, just from a simple requirement that the kinetic terms of the helicity-two, -one and -zero modes are diagonalized.
Gabadadze Gregory
Rham Claudia de
Tolley Andrew J.
No associations
LandOfFree
Helicity Decomposition of Ghost-free Massive Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Helicity Decomposition of Ghost-free Massive Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Helicity Decomposition of Ghost-free Massive Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-66964