A note about the t’Hooft ansatz for SU(N) real-time gauge theories

The t’Hooft ansatz, which reduces the classical Yang-Mills theory to the λϕ^4 one, is under consideration. It is shown that, in the framework of this ansatz, the real-time classical solutions for the arbitrary SU(N) gauge group are obtained by embedding SU (2) × SU (2) into SU(N) . It is argued that this group structure is the only possibility in the framework of the considered ansatz. New explicit solutions for SU (3) and SU (5) gauge groups are shown.