TY - JOUR

T1 - Non-Abelian Meissner effect in Yang-Mills theories at weak coupling

AU - Gorsky, A.

AU - Shifman, M.

AU - Yung, A.

PY - 2005/2

Y1 - 2005/2

N2 - 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* ∼ Λ. Underlying dynamics are governed by a ZN 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 < m* the ZN 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 ≫ 1.

AB - 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* ∼ Λ. Underlying dynamics are governed by a ZN 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 < m* the ZN 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 ≫ 1.

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U2 - 10.1103/PhysRevD.71.045010

DO - 10.1103/PhysRevD.71.045010

M3 - Article

AN - SCOPUS:84889012234

VL - 71

SP - 045010-1-045010-16

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 4

M1 - 045010

ER -