2016/01/29 by Adrian Koenigstein, Johannes Kirsch, Horst Stoecker +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #BRST quantization #Covariant transformation #Gauge anomaly #Gauge covariant derivative #Hamiltonian lattice gauge theory #Introduction to gauge theory #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #Quantum gauge theory #Supersymmetric gauge theory #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/s0218301316420052
27 pages
arxiv created 2016/01/29 · arxiv updated 2016/06/03 · openalex publication_date 2016/06/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Electromagnetism, the strong and the weak interactions are commonly formulated as gauge theories in a Lagrangian description. In this paper, we present an alternative formal derivation of [Formula: see text]-gauge theory in a manifestly covariant Hamilton formalism. We make use of canonical transformations as our guiding tool to formalize the gauging procedure. The introduction of the gauge field, its transformation behavior and a dynamical gauge field Lagrangian/Hamiltonian are unavoidable consequences of this formalism, whereas the form of the free gauge Lagrangian/Hamiltonian depends on the selection of the gauge dependence of the canonically conjugate gauge fields.