Asymptotically Free Yang-Mills Classical Mechanics with Self-Linked Orbits
arXiv:hep-th/0301185 · doi:10.1016/j.physletb.2003.06.059
Abstract
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 nontrivial, toroidal knots.
9 pages incl. 5 figs