Confinement, NonAbelian monopoles, and 2D ℂPN−1 model on the worldsheet of finite-length strings

Publisher： Edp Sciences

E-ISSN： 2100-014x|137|issue|03010-03010

ISSN： 2100-014x

Source： EPJ Web of Conference, Vol.137, Iss.issue, 2017-03, pp. : 03010-03010

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Abstract

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. 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.

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