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arXiv · 1311.7009

Interacting spin-2 fields in the Stueckelberg picture

Johannes Noller·James H. C. Scargill·Pedro G. Ferreira
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Abstract

We revisit and extend the `Effective field theory for massive gravitons' constructed by Arkani-Hamed, Georgi and Schwartz in the light of recent progress in constructing ghost-free theories with multiple interacting spin-2 fields. We show that there exist several dual ways of restoring gauge invariance in such multi-gravity theories, find a generalised Fierz-Pauli tuning condition relevant in this context and highlight subtleties in demixing tensor and scalar modes. The generic multi-gravity feature of scalar mixing and its consequences for higher order interactions are discussed. In particular we show how the decoupling limit is qualitatively changed in theories of interacting spin-2 fields. We relate this to dRGT (de Rham, Gabadadze, Tolley) massive gravity, Hassan-Rosen bigravity and the multi-gravity constructions by Hinterbichler and Rosen. As an additional application we show that EBI (Eddington-Born-Infeld) bigravity and higher order generalisations thereof possess ghost-like instabilities.

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Johannes Noller, James H. C. Scargill, Pedro G. Ferreira. 2014-10-04. Interacting spin-2 fields in the Stueckelberg picture. https://doi.org/10.1088/1475-7516%2F2014%2F02%2F007

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