Asymptotically free improvement of Yang–Mills classical mechanics

We construct a classical mechanics Hamiltonian which exhibits spontaneous symmetry breaking akin the Coleman–Weinberg mechanism, dimensional transmutation, and asymptotically free self-similarity congruent with the beta-function of four-dimensional Yang–Mills theory. Its classical equations of motion support stable periodic orbits and in a three-dimensional projection these orbits are self-linked into topologically non-trivial knots.