On strong coupling scales in (minimal) massive gravity

Abstract

Ghost-free massive gravity models generically have a strong coupling scale of ${\Lambda }_3=(M_{\mathrm{Pl}}{m}^2{)}^{1/3}$. However, for one of these models - `minimal massive gravity' - it is not clear what this scale is in the subset of solutions with vanishing vector modes, since there are then no interactions at the scale ${\Lambda }_3$. We show that there are always scalar-tensor interactions at a scale arbitrarily close to ${\Lambda }_3$ around the Minkowski vacuum solution. This explicitly confirms and completes previous research establishing that ${\Lambda }_3$ effectively is the maximal strong coupling scale for all ghost-free (dRGT) massive gravity models (on Minkowski). In the process, we also revisit and clarify the construction of generic Lorentz-invariant massive gravity models, explicitly constructing an improved non-redundant expansion for these models.

19 pages

References in corpus (5)

• Resummation of Massive Gravity
• Riding on irrelevant operators
• Degrees of Freedom in Massive Gravity
• Covariant constraints for generic massive gravity and analysis of its characteristics
• Unitarity and the Vainshtein Mechanism

Cited by in corpus (3)

• The coupling to matter in Massive, Bi- and Multi-Gravity
• Higher dimensional nonlinear massive gravity
• The decoupling limit of Multi-Gravity: Multi-Galileons, Dualities and More