  A gauge transformation provided by the three eigenfunctions of $\B^a(x) \cdot
\B^b(x)$ (where $\B^a(x)$, with a=1,2,3, are the non-Abelian magnetic fields)
exposes the topological configurations of the Yang-Mills fields. In particular,
it gives Dirac monopoles interacting with `photons' and massless charged vector
bosons. A magnetic dipole field at each monopole corresponds to infinitesimal
translation of the monopole, and provides the functional measure a la
collective coordinates. The grand canonical partition function of the monopole
plasma is exactly equivalent to a local field theory with certain scalar fields
interacting with the Yang-Mills fields. This integrates topological degrees of
freedom with perturbation theory.
