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arXiv · hep-th/9812112

Confining Properties of Abelian(-Projected) Theories

Dmitri Antonov·Dietmar Ebert
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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.

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Dmitri Antonov, Dietmar Ebert. 1998-12-14. Confining Properties of Abelian(-Projected) Theories. https://doi.org/10.1007/s100529900075

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