2007/01/31 by A. Gorsky, M. Shifman, Mikhail Shifman +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.75.065032
published as Phys.Rev.D75:065032,2007 · 33 pages, 3 figures. V2 reference and a brief comment added; typos corrected. V3 two comments added; final version accepted for publication to PRD
arxiv created 2007/03/10 · openalex publication_date 2007/03/30 · arxiv updated 2010/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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\ensuremath-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.