The ${\Lambda }_2$ limit of massive gravity

Abstract

Lorentz-invariant massive gravity is usually associated with a strong coupling scale ${\Lambda }_3$. By including non-trivial effects from the Stueckelberg modes, we show that about these vacua, one can push the strong coupling scale to higher values and evade the linear vDVZ-discontinuity. For generic parameters of the theory and generic vacua for the Stueckelberg fields, the ${\Lambda }_2$-decoupling limit of the theory is well-behaved and free of any ghost or gradient-like instabilities. We also discuss the implications for nonlinear sigma models with Lorentzian target spaces.

38 pages, 1 figure, JHEP version, minor changes

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• Resummation of Massive Gravity
• Interacting Spin-2 Fields
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
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• Nonderivative Modified Gravity: a Classification

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