SU(2) Charges with Spherical Symmetry and Confining Boundary Conditions
Abstract
Applying the static Yang-Mills Maxwell equations to a simple system of SU(2) charges with spherical symmetry and confining boundary conditions provides for a demonstration of the likelihood that the confinement mechanism in non-Abelian gauge theories necessarily involves a topologically-charged domain wall consisting of a surface volume with CP-odd field strength density. The surface volume of a color-singlet system of SU(2) charges therefor describes the magnetic dual of a topological insulator. This essential topological structure in inextricably connected to the hadronic dynamics of the pion tornado. In analogy to the kink solution in the 1+1 dimensional Abelian Higgs model the classical solutions for the field equations in spherically symmetric SU(2) with this domain wall of topological charge can lead to a mass gap in the quantum system
Keywords
Cite
@article{arxiv.1905.01529,
title = {SU(2) Charges with Spherical Symmetry and Confining Boundary Conditions},
author = {Dennis Sivers},
journal= {arXiv preprint arXiv:1905.01529},
year = {2019}
}
Comments
5 pages with no figures. This material was presented at the XIII Quark Confinement and the Hadron Spectrum--Confinement2018