The Lagrange-Poincar\'e equations for interacting Yang-Mills and scalar fields
Mathematical Physics
2019-01-01 v1 High Energy Physics - Theory
math.MP
Abstract
A special case of the Lagrange-Poincar\'e 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.
Cite
@article{arxiv.1812.11733,
title = {The Lagrange-Poincar\'e equations for interacting Yang-Mills and scalar fields},
author = {S. N. Storchak},
journal= {arXiv preprint arXiv:1812.11733},
year = {2019}
}
Comments
35 pages, preliminary version