Asymptotically Free Yang-Mills Classical Mechanics with Self-Linked Orbits
High Energy Physics - Theory
2009-11-10 v1
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.
Cite
@article{arxiv.hep-th/0301185,
title = {Asymptotically Free Yang-Mills Classical Mechanics with Self-Linked Orbits},
author = {M Luebcke and A. J. Niemi and K. Torokoff},
journal= {arXiv preprint arXiv:hep-th/0301185},
year = {2009}
}
Comments
9 pages incl. 5 figs