Superconvergence, Confinement and Duality

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Talk presented at the International Workshop on High Energy Physics, Novy Svit, Crimea, September 1995. To be published in the

Scientific paper

Arguments for the confinement of transverse gauge field excitations, which are based upon superconvergence relations of the propagator, and upon the BRST algebra, are reviewed and applied to supersymmetric models. They are shown to be in agreement with recent results obtained as a consequence of holomorphy and duality in certain $N=1$ SUSY models. The significance of the one loop anomalous dimension of the gauge field in the Landau gauge is emphasized. For the models considered, it is shown to be proportional, with negative relative sign, to the one loop coefficient of the renormalization group function for the {\it dual map} of the original theory.

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