Duality, Superconvergence and the Phases of Gauge Theories

Details Duality, Superconvergence and the Phases of Gauge Theories Duality, Superconvergence and the Phases of Gauge Theories

1997-01-05

arxiv.org/abs/hep-th/9701012v1

Phys.Lett. B399 (1997) 67-74

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex

Scientific paper

10.1016/S0370-2693(97)00258-X

Results about the phase structure of certain N=1 supersymmetric gauge theories, which have been obtained as a consequence of holomorphy and `electric-magnetic' duality, are shown to be in quantitative agreement with corresponding consequences of analyticity and superconvergence of the gauge field propagator. This connection is of interest, because the superconvergence arguments for confinement are not restricted to theories with supersymmetry. The method of reduction in the space of coupling parameters is used in order to define, beyond the matching conditions, an asymptotically free, dual magnetic theory involving Yukawa couplings.

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