N=1 supersymmetric quantum chromodynamics: How confined non-Abelian monopoles emerge from quark condensation

A. Gorsky, M. Shifman, A. Yung

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25 Scopus citations

Abstract

We consider N=1 supersymmetric QCD with the gauge group U(N) and Nf=N quark flavors. To get rid of flat directions we add a meson superfield. The theory has no adjoint fields and, therefore, no 't Hooft-Polyakov monopoles in the quasiclassical limit. We observe a non-Abelian Meissner effect: condensation of color charges (squarks) gives rise to confined monopoles. The very fact of their existence in N=1 supersymmetric QCD without adjoint scalars was not known previously. Our analysis is analytic and is based on the fact that the N=1 theory under consideration can be obtained starting from N=2 SQCD in which the 't Hooft-Polyakov monopoles do exist, through a certain limiting procedure allowing us to track the status of these monopoles at various stages. Monopoles are confined by Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian strings (flux tubes). Dynamics of string orientational zero modes are described by a supersymmetric CP(N-1) sigma model on the string world sheet. If a dual of N=1 SQCD with the gauge group U(N) and Nf=N quark flavors could be identified, in this dual theory our demonstration would be equivalent to the proof of the non-Abelian dual Meissner effect.

Original languageEnglish (US)
Article number065032
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume75
Issue number6
DOIs
StatePublished - Mar 30 2007

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