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arXiv · 1905.01529

SU(2) Charges with Spherical Symmetry and Confining Boundary Conditions

Dennis Sivers
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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

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Dennis Sivers. 2019-05-04. SU(2) Charges with Spherical Symmetry and Confining Boundary Conditions. https://arxiv.org/abs/1905.01529

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