Classical non-Abelian solutions for nonstandard Lagrangians

Some solutions of the equations of motion of the field are obtained for a certain class of effective Lagrangians in the standard Wu–Yang parametrization for the vector potential. It is shown that real solutions of monopole and dyon type can be obtained without introducing an additional interaction with Higgs fields. A dyon configuration for which the field energy density is zero is found. Solutions of the equations of motion of the field represented in the form of series in inverse powers of the distance are investigated. It is shown to be energetically advantageous for there to be a rearrangement of a purely chromomagnetic configuration into a configuration containing a chromoelectric component. Chromoelectric configurations with a distributed charge density are investigated.