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arXiv · hep-th/0301185

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

M Luebcke·A. J. Niemi·K. Torokoff
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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.

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M Luebcke, A. J. Niemi, K. Torokoff. 2003-01-23. Asymptotically Free Yang-Mills Classical Mechanics with Self-Linked Orbits. https://doi.org/10.1016/j.physletb.2003.06.059

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