The Lagrange-Poincaré equations for interacting Yang-Mills and scalar fields
arXiv:1812.11733
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.
arXiv comment35 pages, preliminary version
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