2004/11/30 by D. Bashkirov, Denis Bashkirov, G. Giachetta +2 · 25 citations
Mathematics · Physics and Astronomy · #Algebra over a field #BRST quantization #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Equivalence (formal languages) #Gauge (firearms) #Gauge symmetry #Gauge theory #Geometry #Homogeneous space #Lagrangian #Lagrangian system #Mathematical physics #Mathematics #Noether's theorem #Noncommutative and Quantum Gravity Theories #Order (exchange) #Pure mathematics #hep-th #math-ph #math.DG #math.MP #msc:53C80 #msc:58A20 #msc:70S05
paper · pdf · doi:10.1088/0305-4470/38/23/018
published in Journal of Physics A Mathematical and General 38(23), 5329-5344 (Institute of Physics) · 20 pages, to be published in J. Phys. A (2005)
arxiv created 2005/04/21 · openalex publication_date 2005/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove Noether's direct and inverse second theorems for Lagrangian systems on fibre bundles in the case of gauge symmetries depending on derivatives of dynamic variables and parameters of an arbitrary order. The appropriate notions of a reducible gauge symmetry and Noether identity are formulated, and their equivalence by means of a certain intertwining operator is proved.