Equations of a relative equilibrium in Yang-Mills theory

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.

arXiv comment13 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)

References in corpus (1)

• Path integral measure factorization in path integrals for diffusion of Yang--Mills fields

Cited by in corpus (1)

• The Lagrange-Poincaré equations for a mechanical system with symmetry on the principal fiber bundle over the base represented by the bundle space of the associated bundle