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

A. Gorsky·M. Shifman·A. Yung
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Abstract

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_* of order of Lambda. Underlying dynamics are governed by a Z_N symmetry inherent to the model under consideration. At m>m_* the Z_N symmetry is spontaneously broken, resulting in N degenerate Z_N (Abelian) strings. At m > 1.

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A. Gorsky, M. Shifman, A. Yung. 2005-02-01. Non-Abelian Meissner Effect in Yang--Mills Theories at Weak Coupling. https://doi.org/10.1103/physrevd.71.045010

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