On Consistent Kinetic and Derivative Interactions for Gravitons

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.

24 pages, 8 figures

References in corpus (32)

• Resummation of Massive Gravity
• Generalization of the Fierz-Pauli Action
• Massive Gravity
• Theoretical Aspects of Massive Gravity
• Bimetric Gravity from Ghost-free Massive Gravity
• (De)Constructing Dimensions
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Ghost-free Massive Gravity with a General Reference Metric
• Interacting Spin-2 Fields
• Inconsistency of interacting, multi-graviton theories
• On couplings to matter in massive (bi-)gravity
• Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
• On Consistent Theories of Massive Spin-2 Fields Coupled to Gravity
• Cosmological solutions with massive gravitons
• A note on "symmetric" vielbeins in bimetric, massive, perturbative and non perturbative gravities
• A Proof Of Ghost Freedom In de Rham-Gabadadze-Tolley Massive Gravity
• Massive Gravity Simplified: A Quadratic Action
• Covariant constraints in ghost free massive gravity
• Ghost-Free Derivative Interactions for a Massive Graviton
• The coupling to matter in Massive, Bi- and Multi-Gravity
• Cosmic expansion histories in massive bigravity with symmetric matter coupling
• New Kinetic Interactions for Massive Gravity?
• Appearance of Boulware-Deser ghost in bigravity with doubly coupled matter
• Deconstructing Dimensions and Massive Gravity
• Nonlinear Properties of Vielbein Massive Gravity
• Cosmological perturbations in massive gravity with doubly coupled matter
• Mass eigenstates in bimetric theory with matter coupling
• Derivative interactions in de Rham-Gabadadze-Tolley massive gravity
• Interacting spin-2 fields in the Stueckelberg picture
• Derivative interactions for a spin-2 field at cubic order

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• The decoupling limit of Multi-Gravity: Multi-Galileons, Dualities and More
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