Asymptotically Free Yang-Mills Classical Mechanics with Self-Linked Orbits

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages incl. 5 figs

Scientific paper

10.1016/j.physletb.2003.06.059

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.

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