Abstract
Permanent quark confinement is one of the various possible phenomena in a non-Abelian gauge field theory. Here we consider the theory in a box with periodic boundary conditions. The edges of the box are taken to infinity in the end. Various kinds of twists can be included in the boundary conditions, corresponding to the amount of electric or magnetic flux trapped in the box. An exact duality relation gives restrictions on the dynamical properties of these fluxes. Instantons further affect this dynamics. We speculate on their role in spontaneous chiral symmetry breakdown.
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