$k$ Strings from Various Perspectives: QCD, Lattices, String Theory and Toy Models

Physics – High Energy Physics – High Energy Physics - Phenomenology

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Based on invited talks at the Workshop Understanding Confinement/Zakharov-Fest, Ringberg Castle, Tegernsee, May 16-21, Germany

Scientific paper

I review the status of the issue of the k-string tension in Yang-Mills theory. After a summary of known facts I discuss a weakly coupled four-dimensional Yang-Mills theory that supports non-Abelian strings and can, in certain aspects, serve as a toy model for QCD strings. In the second part of the talk I present original results obtained in a two-dimensional toy model which provides some evidence for the sine formula.

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