External sources for topologically massive gauge fields

We consider the finite-action classical solutions of Euclidean topologically massive gauge theories in the presence of external sources. We study the Abelian case for general sources, as well as the general non-Abelian case for weak sources. We also investigate the solutions within the radial Ansatz, both with the usual source coupling and with coupling to gauge-invariant sources. We show that all these solutions correspond to saddle points of the action.