5 research outputs found
Asymptotically Free Yang-Mills Classical Mechanics with Self-Linked Orbits
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.Comment: 9 pages incl. 5 fig
Twisted Vortices in a Gauge Field Theory
We inspect a particular gauge field theory model that describes the
properties of a variety of physical systems, including a charge neutral
two-component plasma, a Gross-Pitaevskii functional of two charged Cooper pair
condensates, and a limiting case of the bosonic sector in the Salam-Weinberg
model. It has been argued that this field theory model also admits stable
knot-like solitons. Here we produce numerical evidence in support for the
existence of these solitons, by considering stable axis-symmetric solutions
that can be thought of as straight twisted vortex lines clamped at the two
ends. We compute the energy of these solutions as a function of the amount of
twist per unit length. The result can be described in terms of a energy
spectral function. We find that this spectral function acquires a minimum which
corresponds to a nontrivial twist per unit length, strongly suggesting that the
model indeed supports stable toroidal solitons.Comment: 10 pages, 5 figures, title changed, minor revisions, and more
references adde