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Seiberg-Witten and "Polyakov-like" magnetic bion confinements are continuously connected
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We study four-dimensional N=2 supersymmetric pure-gauge (Seiberg-Witten) theory and its N=1 mass perturbation by using compactification S**1 x R**3. It is well known that on R**4 (or at large S**1) the perturbed theory realizes confinement through monopole or dyon condensation. At small S**1, we demonstrate that confinement is induced by a generalization of Polyakov's three-dimensional instanton mechanism to a locally four-dimensional theory - the magnetic bion mechanism - which also applies to a large class of nonsupersymmetric theories. Using a large- vs. small-L Poisson duality, we show that the two mechanisms of confinement, previously thought to be distinct, are in fact continuously connected.
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Self-dual monopole loops, instantons and confinement
Interactions among self-dual monopole-like constituents of instantons remove the infrared divergence and, the authors conjecture, drive confinement in 4d Yang-Mills.
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