Non-Abelian Monopoles, Vortices and Confinement

Details Non-Abelian Monopoles, Vortices and Confinement Non-Abelian Monopoles, Vortices and Confinement

2002-08-30

arxiv.org/abs/hep-th/0208222v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex 19 pages, 3 figures, Talk at Continuous Advance in QCD (Arkady Fest), Minneapolis, May 2002

Scientific paper

Three closely related issues will be discussed. Magnetic quarks having non-Abelian charges have been found recently to appear as the dominant infrared degrees of freedom in some vacua of softly broken N=2 supersymmetric QCD with SU(n_c) gauge group. Their condensation upon N=1 perturbation causes confinement and dynamical symmetry breaking. We argue that these magnetic quarks can be naturally related to the semiclassical non-Abelian monopoles of the type first discussed by Goddard, Nuyts, Olive and E. Weinberg. We discuss also general properties of non-Abelian vortices and discuss their relevance to the confinement in QCD. Finally, calculation by Douglas and Shenker of the tension ratios for vortices of different N-alities in the softly broken N=2 supersymmetric SU(N) Yang-Mills theory, is carried to the second order in the adjoint multiplet mass. A correction to the ratios violating the sine formula is found, showing that the latter is not a universal quantity.

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