Effective Lagrangian from Higher Curvature Terms: Absence of vDVZ Discontinuity in AdS Space

Physics – High Energy Physics – High Energy Physics - Theory

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23 pages, Latex, the version to appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/19/6/309

We argue that the van Dam-Veltman-Zakharov discontinuity arising in the $M^2 \to 0$ limit of the massive graviton through an explicit Pauli-Fierz mass term could be absent in anti de Sitter space. This is possible if the graviton can acquire mass spontaneously from the higher curvature terms or/and the massless limit $M^2\to 0$ is attained faster than the cosmological constant $\Lambda \to 0$. We discuss the effects of higher-curvature couplings and of an explicit cosmological term ($\Lambda$) on stability of such continuity and of massive excitations.

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