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Volume 336 - XIII Quark Confinement and the Hadron Spectrum (Confinement2018) - A: Vacuum structure and confinement
Field-Strength Descriptions for a Confined System of SU(2) Charges
D. Sivers
Full text: pdf
Pre-published on: 2019 September 12
Published on: 2019 September 26
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 is inextricably connected to the hadron 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.
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