  The existence of a mechanism within the non-Abelian dynamics of QCD that
confines quarks and gluons to the interior of hadrons has long been accepted
empirically. To explore what this mechanism might look like, this paper
examines field-strength descriptions for an extended system of SU(2) charges
with spherical symmetry and imposes alternate confining boundary conditions to
the time-independent Yang-Mills Maxwell equations. Three types of global
solutions to the set of equations can be distinguished: types 0,1,and2. Type-0
solutions evade the nonlinear dynamics associated with the radial magnetic
field to describe a topologically trivial bound state. Type-1 and type-2
solutions both require a domain wall of topological charge to separate the
interior volume containing the SU(2) charge densities from the exterior volume
where the boundary conditions are imposed. Type-1 solutions describe an
exterior volume with a radial magnetic field while type-2 solutions contain a
sterile exterior volume where all field-strengths vanish. These solutions both
describe a non-Abelian "spherical dual topological insulator". the dimensional
reduction associated with the imposition of spherical system of SU(2) charges
can also be applied to SU(3) charges so this simple exercise is directly
relevant to understanding confinement in QCD.
