Galileons with Gauge Symmetries

Abstract

Galileon models arise in certain braneworld scenarios as modifications to General Relativity, and are also interesting as field theories in their own right. We show how the galileon model can be naturally generalized to include local gauge symmetries, by allowing for couplings to Yang-Mills fields. The resulting theories have at most second order spacetime derivatives in any representation of the gauge group, thereby avoiding Ostrogradski ghosts. We also extend the models to include curved space, and show how in that case we need to include non-minimal couplings between the galileons and the curvature tensors for the theory to retain its second order nature.

9 pages, minor changes, to appear in PRD

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Cited by in corpus (23)

• Beyond the Cosmological Standard Model
• Black hole hair in generalized scalar-tensor gravity: An explicit example
• Derivative self-interactions for a massive vector field
• A formal introduction to Horndeski and Galileon theories and their generalizations
• Galileons as Wess-Zumino Terms
• Dynamical analysis of generalized Galileon cosmology
• Stability of Horndeski vector-tensor interactions
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• Covariantised Vector Galileons
• Retarded Green's Function Of A Vainshtein System And Galileon Waves
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Vector instabilities and self-acceleration in the decoupling limit of massive gravity
• Scalar induced gravity waves from ultra slow-roll Galileon inflation
• On the stability and causality of scalar-vector theories
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Galileon forces in the Solar System
• Light propagation in inhomogeneous and anisotropic cosmologies
• Large fluctuations and Primordial Black Holes
• The role of vector fields in modified gravity scenarios
• HYM-flation: Yang-Mills cosmology with Horndeski coupling
• Gauged Galileons
• Moving Stable Solitons in Galileon Theory
• Gradient expansion of superhorizon perturbations in G-inflation