Streamlines and conformal invariance in Yang-Mills theories

Under the assumption of coordinate inversion symmetry and rotational invariance in euclidean space and color space, we obtain a numerical solution of the streamline equations for Yang-Mills theories. The solution nearly coincides with an ansatz proposed previously by Yung. The classical action of this ansatz is obtained analytically. The resulting average pseudoparticle interaction, which is an order of magnitude weaker than for the so called sum ansatz, no longer provides a consistent cutoff for the size integration.