Non-Abelian Meissner Effect in Yang--Mills Theories at Weak Coupling

By A. Gorsky, M. Shifman, A. Yung. 2004

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We present a weak-coupling Yang-Mills model supporting non-Abelian magnetic flux tubes and non-Abelian confined magnetic monopoles. In the dual description the magnetic flux tubes are prototypes of the QCD strings. Dualizing the confined magnetic monopoles we get gluelumps which convert a ``QCD string'' in the excited state to that in the ground state. Introducing a mass parameter $m$ we discover a phase transition between the Abelian and non-Abelian confinement at a critical value $m={m}_{*}\ensuremath{\sim}\ensuremath{\Lambda}$. Underlying dynamics are governed by a ${Z}_{N}$ symmetry inherent to the model under consideration. At $mg{m}_{*}$ the ${Z}_{N}$ symmetry is spontaneously broken, resulting in $N$ degenerate ${Z}_{N}$ (Abelian) strings. At $ml{m}_{*}$ the ${Z}_{N}$ symmetry is restored, the degeneracy is lifted, and the strings become non-Abelian. We calculate tensions of the non-Abelian strings, as well as the decay rates of the metastable strings, at $N\ensuremath{\gg}1$.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5fd443279ba8beebf8aed6c5f6fa99a49a16ae84

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