Duality, Superconvergence and the Phases of Gauge Theories

Abstract

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.

20 pages, Latex

Cited by in corpus (9)

• Higher-Loop Structural Properties of the $\beta$ Function in Asymptotically Free Vectorial Gauge Theories
• Higher-Loop Calculations of the Ultraviolet to Infrared Evolution of a Vectorial Gauge Theory in the Limit $N_c\to \infty$, $N_f\to \infty$ with $N_f/N_c$ Fixed
• Delineating the conformal window
• Implications of Analyticity to Mass Gap, Color Confinement and Infrared Fixed Point in Yang--Mills theory
• Dualities in all order finite N=1 gauge theories
• Reduction of Dual Theories
• Superconformal N=1 Gauge Theories, beta-Function Invariants and their Behavior under Seiberg Duality
• On Different Criteria for Confinement
• Duality and Superconvergence Relation in Supersymmetric Gauge Theories