Abelian Projections and Monopoles

Abstract

The monopole confinement mechanism in the abelian projection of lattice gluodynamics is reviewed. The main topics are: the abelian projection on the lattice and in the continuum, a numerical study of the abelian monopoles in the lattice gauge theory. Additionally, we briefly review the notation of differential forms, duality, and the BKT transformation in the lattice gauge theories.

34 pages, LaTeX, 23 figures, uses epsf.sty and epsfig.sty; Lectures given by Mikhail Polikarpov at the Workshop "Confinement, Duality and Non-Perturbative Aspects of QCD", Cambridge (UK), 24 June - 4 July 1997; figures are rearranged