Messages for QCD from the Superworld
Matthew J. Strassler
Abstract
Recent discoveries in supersymmetric gauge theories have significant implications for our understanding for QCD and of field theory in general. The phases of N=1 supersymmetric QCD (SQCD) are discussed, and the possibility of similar phases in non-supersymmetric QCD is emphasized. It is described how duality in SQCD links many previously known duality transformations that were thought to be distinct, including Olive-Montonen duality of N=4 supersymmetric gauge theory and quark-hadron duality in (S)QCD. A link between Olive-Montonen duality and the confining strings of (S)QCD is explained, in which a picture of confinement via non-abelian monopole condensation --- a generalized dual Meissner effect --- emerges explicitly. In this picture, unlike previous ones, the confining flux tubes carry the correct ZN discrete charges. A number of studies of these subjects, which could be carried out using lattice gauge theory, are proposed.
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