Equations of a relative equilibrium in Yang-Mills theory
Mathematical Physics
2017-11-15 v2 High Energy Physics - Theory
math.MP
Abstract
The equations of a relative equilibrium in a pure Yang--Mills gauge theory with the Coulomb gauge fixing are obtained. They are derived as a direct consequence of the results of our previous work on Wong's equations in gauge theory.The obtained equations are similar to the equations of a relative equilibrium in reducible finite-dimensional dynamical systems with a symmetry. In all these equations, the description of the reduced motion is performed by making use of the dependent coordinates.
Keywords
Cite
@article{arxiv.1312.7711,
title = {Equations of a relative equilibrium in Yang-Mills theory},
author = {S. N. Storchak},
journal= {arXiv preprint arXiv:1312.7711},
year = {2017}
}
Comments
13 pages; typos corrected; text slightly changed; in sect.3, a new definition for the vertical component $z^{\alpha}$ was chosen, leading to a new (standard) form of eq.(5)