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Particles and Fields
Eur. Phys. J. C 12, 349-359
DOI 10.1007/s100529900075

Confining properties of Abelian-projected theories

D. Antonov, , D. Ebert

Institut für Physik, Humboldt-Universität zu Berlin, Invalidenstraße 110, 10115 Berlin, Germany

Received: 19 January 1999 / Revised version: 28 March 1999 / Published online: 8 December 1999

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 four dimensions (4D) or electric vortex lines in three dimensions (3D). Next, we illustrate that 3D compact QED is a small gauge-boson mass limit of a 3D Abelian Higgs model with external monopoles and give a physical interpretation of 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.


Copyright Springer-Verlag 2000