2016/08/31 by Jürgen Struckmeier, H. Stöcker, Horst Stöcker +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Covariant Hamiltonian field theory #Covariant transformation #Gauge anomaly #Gauge covariant derivative #Gauge symmetry #Gauge theory #Hamiltonian (control theory) #Hamiltonian lattice gauge theory #Hamiltonian system #Infinitesimal #Lagrangian #Mathematical analysis #Mathematical physics #Mathematics #Noether's theorem #Noncommutative and Quantum Gravity Theories #Physics #Relativity and Gravitational Theory #math-ph #math.MP #physics.class-ph
paper · pdf · doi:10.1007/978-3-319-44165-8_24
published as FIAS Interdisciplinary Science Series, Springer 2017 · 15 pages. arXiv admin note: text overlap with arXiv:0811.0508, arXiv:1205.5754
openalex publication_date 2016/11/11 · arxiv created 2022/02/22 · arxiv updated 2022/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present the derivation of the Yang-Mills gauge theory based on the covariant Hamiltonian representation of Noether's theorem. As the starting point, we re-formulate our previous presentation of the canonical Hamiltonian derivation of Noether's theorem. The formalism is then applied to derive the Yang-Mills gauge theory. The Noether currents of U(1) and SU(N) gauge theories are derived from the respective infinitesimal generating functions of the pertinent symmetry transformations which maintain the form of the Hamiltonian.