  We recently derived a new action for gluodynamics by canonically transforming
the Yang-Mills action on light-cone. The transformation elimated triple gluons
vertices and replaced the gauge fields with Wilson lines. This greatly reduced
the number of diagrams required to compute tree level amplitudes. However, at
the quantum level, the action turned out to be incomplete. We present two ways,
based on one-loop effective action approach, to systematically develop quantum
correction to our action. The first method retains Yang-Mills vertices in the
loop, while the second method explicitly incorporates the interaction vertices
of our action into the loop. We demonstrate that both approaches are
equivalent, although the former appears to be more efficient for computing
higher-multiplicity one-loop amplitudes.
