Geometry of Multi-Flavor Galileon-Like Theories
arXiv:1802.08107 · doi:10.1103/PhysRevLett.121.171602
Abstract
We use Lie-algebraic arguments to classify Lorentz-invariant theories of massless interacting scalars that feature coordinate-dependent redundant symmetries of the Galileon type. We show that such theories are determined, up to a set of low-energy effective couplings, by specifying an affine representation of the Lie algebra of physical, non-redundant internal symmetries and an invariant metric on its target space. This creates an infinite catalog of theories relevant for both cosmology and high-energy physics thanks to their special properties such as enhanced scaling of scattering amplitudes in the soft limit.
arXiv comment8 pages; v2: substantially rewritten and extended, matches version to appear in PRL
References in corpus (45)
- The galileon as a local modification of gravity
- From k-essence to generalised Galileons
- Dark Energy after GW170817: dead ends and the road ahead
- Strong constraints on cosmological gravity from GW170817 and GRB 170817A
- Dark Energy after GW170817 and GRB170817A
- Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Breaking a Dark Degeneracy with Gravitational Waves
- Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem
- Challenges to Self-Acceleration in Modified Gravity from Gravitational Waves and Large-Scale Structure
- DBI and the Galileon reunited
- Effective Field Theories from Soft Limits
- Multi-field galileons and higher co-dimension branes
- On-Shell Recursion Relations for Effective Field Theories
- A Periodic Table of Effective Field Theories
- Symmetries for Galileons and DBI scalars on curved space
- A formal introduction to Horndeski and Galileon theories and their generalizations
- Universal Field Equations with Covariant Solutions D.B. Fairlie
- Redundancies in Nambu-Goldstone Bosons
- Bi-galileon theory I: motivation and formulation
- Galileons as Wess-Zumino Terms
- General Embedded Brane Effective Field Theories
- A Hidden Symmetry of the Galileon
- Galileon Duality
- General Effective Actions
- Covariant multi-galileons and their generalisation
- Multi-galileons, solitons and Derrick's theorem
- Spontaneous breaking of spacetime symmetries and the inverse Higgs effect
- Scalar Field Theories with Polynomial Shift Symmetries
- Generalized Galileon Duality
- Criterion for stability of Goldstone Modes and Fermi Liquid behavior in a metal with broken symmetry
- Aspects of Galileon Non-Renormalization
- Invariant Effective Actions, Cohomology of Homogeneous Spaces and Anomalies
- Unification of Galileon Dualities
- Goldstones with Extended Shift Symmetries
- Geometry of Special Galileon
- Lie-algebraic classification of effective theories with enhanced soft limits
- Probing Scalar Effective Field Theories with the Soft Limits of Scattering Amplitudes
- New structures in scattering amplitudes: a review
- Proof of the most general multiple-scalar field theory in Minkowski space-time free of Ostrogradski Ghost
- Spontaneously Broken Spacetime Symmetries and the Role of Inessential Goldstones
- Cascading Multicriticality in Nonrelativistic Spontaneous Symmetry Breaking
- New terms for scalar multi-Galileon models and application to SO(N) and SU(N) group representations
- Symmetry Realization via a Dynamical Inverse Higgs Mechanism
- On extended symmetries for the Galileon
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- Quantum Corrections to Generic Branes: DBI, NLSM, and More
- Scattering Amplitudes and Soft Theorems in Multi-Flavor Galileon Theories
- On-Shell Recursion Relations for Nonrelativistic Effective Field Theories
- An Algebraic Classification of Exceptional EFTs Part II: Supersymmetry
- Exceptional nonrelativistic effective field theories with enhanced symmetries