Abstract
Quark confinement is proposed to be a dual Meissner effect of nonAbelian kind. Important hints come from physics of strongly-coupled infrared-fixed-point theories in N=2 supersymmetric QCD, which turn into confining vacua under a small relevant perturbation. The quest for the semiclassical origin of the nonAbelian monopoles, ubiquitous as the infrared degrees of freedom in supersymmetric gauge theories, motivates us to study the quantum dynamics of 2D CP(N-1)model defined on a finite-width worldstrip, with various boundary conditions. The model is found to possess a unique phase ("confinement phase"), independent of the length of the string, showing the quantum persistence of the nonAbelian monopole.
Highlights
Quark confinement is proposed to be dual Meissner effect of nonAbelian kind
Important hints come from physics of strongly-coupled infrared-fixed-point theories in N = 2 supersymmetric QCD, which turn into confining vacua under a small relevant perturbation
The quest for the semiclassical origin of these nonAbelian monopoles, ubiquitous as the infrared degrees of freedom in supersymmetric gauge theories, motivates us to study the quantum dynamics of 2D CPN−1 model defined on a finite-width worldstrip, with various boundary conditions
Summary
In some cases the system approaches in the infrared a FP conformally invariant theory (CFT), but before reaching it, the RG path deviates from the one to CFT to a nearby vacuum in a confinement phase, with mass generation and with the elementary charges (the quarks) confined by a vortex like chromoelectric strings Such a deviation in the RG flow at the final stage is caused by some relevant operator, which could either be present in the original UV Lagrangian, or may be generated dynamically by the gauge dynamics itself. Instead of the original quarks and gluons, the solitonic, magnetic monopoles and dual gauge fields may take up the role of the carrier of the low-energy dynamics These degrees of freedom are shared between the infrared fixed-point theory and the nearby confining vacuum. Let us note that, unlike the "difficulties" mentioned earlier, this is a difficulty for us, not for Nature
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