EFT of Interacting Spin-2 Fields
arXiv:1910.05285 · doi:10.1007/JHEP01(2020)131
Abstract
We consider the effective field theory of multiple interacting massive spin-2 fields. We focus on the case where the interactions are chosen so that the cutoff is the highest possible, and highlight two distinct classes of theories. In the first class, the mass eigenstates only interact through potential operators that carry no derivatives in unitary gauge at leading order. In the second class, a specific kinetic mixing between the mass eigenstates is included non-linearly. Performing a decoupling and ADM analysis, we point out the existence of a ghost present at a low scale for the first class of interactions. For the second class of interactions where kinetic mixing is included, we derive the full decoupling limit and confirm the absence of any ghosts. Nevertheless both formulations can be used to consistently describe an EFT of interacting massive spin-2 fields which, for a suitable technically natural tuning of the EFT, have the same strong coupling scale . We identify the generic form of EFT corrections in each case. By using Galileon Duality transformations for the specific case of two massive spin-2 fields with suitable couplings, the decoupling limit theory is shown to be a bi-Galileon.
39 pages + appendices, 1 figure
References in corpus (58)
- The Dynamics of General Relativity
- The galileon as a local modification of gravity
- Resummation of Massive Gravity
- Generalization of the Fierz-Pauli Action
- Massive Gravity
- Kaluza-Klein Gravity
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Strong Interactions and Stability in the DGP Model
- Higher-Spin Gauge Theories in Four, Three and Two Dimensions
- Generalization of the Proca Action
- Interacting Spin-2 Fields
- Ghosts in Massive Gravity
- Ghost free Massive Gravity in the Stückelberg language
- Inconsistency of interacting, multi-graviton theories
- Derivative self-interactions for a massive vector field
- On couplings to matter in massive (bi-)gravity
- Beyond Amplitudes' Positivity and the Fate of Massive Gravity
- Softness and Amplitudes' Positivity for Spinning Particles
- Helicity Decomposition of Ghost-free Massive Gravity
- UV complete me: Positivity Bounds for Particles with Spin
- Bi-galileon theory I: motivation and formulation
- Cosmological Stability Bound in Massive Gravity and Bigravity
- Ghosts, Strong Coupling and Accidental Symmetries in Massive Gravity
- Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
- Heavy spin-2 Dark Matter
- Massive Galileon Positivity Bounds
- Positivity Bounds for Massive Spin-1 and Spin-2 Fields
- Quantum Corrections in Massive Gravity
- Strings from Massive Higher Spins: The Asymptotic Uniqueness of the Veneziano Amplitude
- Ostrogradsky in Theories with Multiple Fields
- Bimetric Theory of Fractional Quantum Hall States
- Improved Positivity Bounds and Massive Gravity
- Riding on irrelevant operators
- Massive Gravity Simplified: A Quadratic Action
- Galileon Duality
- Oscillating Spin-2 Dark Matter
- Ghost-Free Derivative Interactions for a Massive Graviton
- Constructing Gravitational Dimensions
- Complete Decoupling Limit of Ghost-free Massive Gravity
- New Kinetic Interactions for Massive Gravity?
- Generalized Galileon Duality
- Deconstructing Dimensions and Massive Gravity
- Vielbein to the Rescue?
- Nonlinear Properties of Vielbein Massive Gravity
- Massive Anti-de Sitter Gravity from String Theory
- On the Potential for General Relativity and its Geometry
- Quantum Gates to other Universes
- Multigravity from a discrete extra dimension
- Cycles of interactions in multi-gravity theories
- Constraints on a Gravitational Higgs Mechanism
- The decoupling limit of Multi-Gravity: Multi-Galileons, Dualities and More
- New Kinetic Terms for Massive Gravity and Multi-gravity: A No-Go in Vielbein Form
- Shift-Symmetric Spin-1 Theories
- Pseudo-Linear Spin-2 Interactions
- Massive AdS Supergravitons and Holography
- Strong-coupling scales and the graph structure of multi-gravity theories
- Colorphilic Spin-2 Resonances in the LHC Dijet Channel
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- Positivity Constraints on Interacting Spin-2 Fields
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- Massive Spin-2 Scattering Amplitudes in Extra-Dimensional Theories
- New class of Proca interactions
- Positivity Constraints on Interacting Pseudo-Linear Spin-2 Fields
- Generalized elastic positivity bounds on interacting massive spin-2 theories
- Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
- Large- Random Matrix Gravity and the Double Hierarchy Problem