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arXiv · 1409.7692

On Consistent Kinetic and Derivative Interactions for Gravitons

Johannes Noller
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Abstract

The only known fully ghost-free and consistent Lorentz-invariant kinetic term for a graviton (or indeed for any spin-2 field) is the Einstein-Hilbert term. Here we propose and investigate a new family of candidate kinetic interactions and their extensions to derivative interactions involving several spin-2 fields. These new terms generically break diffeomorphism invariance(s) and as a result can lead to the propagation of 5 degrees of freedom for a single spin-2 field - analogous to ghost-free Massive Gravity. We discuss under what circumstances these new terms can be used to build healthy effective field theories and in the process establish the `Jordan' and `Einstein' frame pictures for Massive-, Bi- and Multi-Gravity.

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Johannes Noller. 2015-04-20. On Consistent Kinetic and Derivative Interactions for Gravitons. https://doi.org/10.1088/1475-7516%2F2015%2F04%2F025

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