The Lagrange-Poincaré equations for interacting Yang-Mills and scalar fields

2018/12/31 by S. N. Storchak, Storchak, S. N.
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bundle #Classical mechanics #Computer science #Cosmology and Gravitation Theories #FOS: Physical sciences #Fiber bundle #Field (mathematics) #Gauge (firearms) #Geometry #High Energy Physics - Theory (hep-th) #Lagrange multiplier #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Poincaré conjecture #Principal bundle #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Scalar field #Space (punctuation) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1812.11733

35 pages, preliminary version

arxiv created 2018/12/31 · openalex publication_date 2018/12/31 · arxiv updated 2019/01/01 · openalex created_date 2019/01/11 · openalex updated_date 2026/07/28

Abstract

A special case of the Lagrange-Poincaré equations for the gauge field interacting with a scalar field is obtained. For description of the dynamics on the configuration space, the adapted coordinates are used. After neglecting the group variables the obtained equations describe the evolution on the gauge orbit space of the principal fiber bundle which is related to the system under the consideration.

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