Confinement at Large Nc
Gerard 't Hooft
Abstract
A discussion is given of the confinement mechanism in terms of the Abelian projection scheme, for a general number Nc of colors. There is a difficulty in the Nc to infinity limit that requires a careful treatment, as the charges of the condensing magnetic monopoles tend to infinity. We suggest that Bose condensation of electric or magnetic charges is indicative for the kind of confinement that takes place, but the actual mechanism of confinement depends on other features as well.
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