DOI 10.1007/s100529900075
Confining properties of Abelian-projected theories
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
