2016/09/30 by Erwan Allys, Patrick Peter, Yeinzon Rodriguez +1 · 2 citations
Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Degrees of freedom (physics and chemistry) #Gauge symmetry #Gauge theory #Geometry #Group (periodic table) #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Symmetry (geometry) #Theoretical physics #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.94.084041
published as Phys. Rev. D 94, 084041 (2016) · LaTeX file in Revtex4 style, 25 pages in single column, no figures. v2: miscellaneous changes. Version to be published in Physical Review D
arxiv created 2016/10/18 · openalex publication_date 2016/10/26 · arxiv updated 2016/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 3 degrees of freedom and having healthy dynamics for their longitudinal mode, i.e., whose pure St"uckelberg 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.