Confining Strings in the Abelian-Projected SU(3)-Gluodynamics

Abstract

String representation of the Wilson loop in 3D Abelian-projected SU(3)-gluodynamics is constructed in the approximation that Abelian-projected monopoles form a gas. Such an assumption is much weaker than the standard one, demanding the monopole condensation. It is demonstrated that the summation over world sheets, bounded by the contour of the Wilson loop, is realized by the summation over branches of a certain effective multivalued potential of the monopole densities. Finally, by virtue of the so-constructed representation of the Wilson loop in terms of the monopole densities, this quantity is evaluated in the approximation of a dilute monopole gas, which makes confinement in the model under study manifest.

7 pages, new results are added

References in corpus (6)

• Colour confinement and dual superconductivity of the vacuum - II
• String Nature of Confinement in (Non-)Abelian Gauge Theories
• Ensemble of Vortex Loops in the Abelian-Projected SU(3)-Gluodynamics
• Aharonov-Bohm Effect in the Abelian-Projected SU(3)-QCD with $\Theta$-term
• What we do understand of Colour Confinement
• Confinement in QCD

Cited by in corpus (3)

• Zero Point Energy of Renormalized Wilson Loops
• Accounting for the finiteness of the Higgs-boson mass in the 3D Georgi-Glashow model
• Confining strings in the Abelian-projected SU(3)-gluodynamics II. 4D-case with $\theta$-term