Generalized SU(2) Proca Theory

Abstract

Following previous works on generalized Abelian Proca theory, also called vector Galileon, we investigate the massive extension of an SU(2) gauge theory, i.e., the generalized SU(2) Proca model, which could be dubbed non-Abelian vector Galileon. This particular symmetry group permits fruitful applications in cosmology such as inflation driven by gauge fields. Our approach consists in building, in an exhaustive way, all the Lagrangians containing up to six contracted Lorentz indices. For this purpose, and after identifying by group theoretical considerations all the independent Lagrangians which can be written at these orders, we consider the only linear combinations propagating three degrees of freedom and having healthy dynamics for their longitudinal mode, i.e., whose pure Stückelberg contribution turns into the SU(2) multi-Galileon dynamics. Finally, and after having considered the curved space-time expansion of these Lagrangians, we discuss the form of the theory at all subsequent orders.

LaTeX file in Revtex4 style, 25 pages in single column, no figures. v2: miscellaneous changes. Version to be published in Physical Review D

References in corpus (25)

• The Standard Model Higgs boson as the inflaton
• Covariant Galileon
• Healthy theories beyond Horndeski
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• G-inflation: inflation driven by the Galileon field
• Inflationary Universe with Anisotropic Hair
• Vector Inflation
• Galilean Genesis: an alternative to inflation
• Galileon Cosmology
• Galileon inflation
• Multi-field galileons and higher co-dimension branes
• Higgs G-inflation
• Can a vector field be responsible for the curvature perturbation in the Universe?
• Observational constraints on Galileon cosmology
• Bi-galileon theory I: motivation and formulation
• Primordial non-Gaussianity from the DBI Galileons
• Modified gravity a la Galileon: Late time cosmic acceleration and observational constraints
• Multi-galileons, solitons and Derrick's theorem
• Gauge-flation trajectories in Chromo-Natural Inflation
• A small cosmological constant from Abelian symmetry breaking
• Cosmology of the selfaccelerating third order Galileon
• On the stability and causality of scalar-vector theories
• Inflationary Dynamics with a Non-Abelian Gauge Field
• Dynamics of Gauge Field Inflation
• A new perspective on Gauge-flation

Cited by in corpus (1)

• Non-Abelian Proca-Dirac-Higgs theory: particle-like solutions and their energy spectrum