Confining Properties of Abelian(-Projected) Theories

Abstract

Representations of the Abelian-projected SU(2)- and SU(3)-gluodynamics in terms of the magnetic monopole currents are derived. Besides the quadratic part, the obtained effective actions contain interactions of these currents with the world-sheets of electric strings in 4D or electric vortex lines in 3D. Next, we illustrate that 3D compact QED is a small gauge boson mass limit of 3D Abelian Higgs model with external monopoles and give a physical interpretation to the confining string theory as the integral over the monopole densities. Finally, we derive the bilocal field strength correlator in the weak-field limit of 3D compact QED, which turns out to be in line with the one predicted by the Stochastic Vacuum Model.

arXiv comment18 pages, LaTeX2e, no figures

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• Exploring correlations in the stochastic Yang-Mills vacuum
• Calculating the gauge-invariant two-point correlation function of gluonic field strengths
• Topological and confining properties of Abelian-projected SU(3)-QCD
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