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Dual Formulation and Confining Properties of the SU(2)-Gluodynamics

By making use of the Abelian projection method, a dual version of the SU(2)-gluodynamics is derived. After that, the summation over the grand canonical ensemble of the monopole currents, emerging after Abelian projection, is performed directly in the continuum version of the model in the dilute gas approximation. The resulting dual theory is used for the construction of the corresponding effective monopole current potential and the string representation. Finally, by virtue of this representation, confining properties of the SU(2)-gluodynamics are emphasized.