Abstract
Permanent quark confinement occurs in a gauge theory if its vacuum (= ground state) condenses into a state that bares close resemblance to the superconductivity state of a solid. We first argue that indeed superconductivity is an absolute phenomenon, the conductivity is rigorously zero. A superconductor forces absolute confinement of magnetic charges. Then we show that a non-Abelian gauge theory may be seen as an Abelian theory enriched with Dirac magnetic monopoles. If these monopoles move collectively, as Cooper pairs do inside a superconductor, then the role of magnetism and electricity are interchanged. It is shown that then quarks are permanently confined. In SU(3) this confinement goes according to a triality rule, allowing the usual baryonic and mesonic states.
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