Various Abelian Projections of $SU(2)$ Lattice Gluodynamics and Aharonov-Bohm Effect in the Field Theory

Abstract

We show that in general abelian projection of lattice gluodynamics it is not only monopoles but also strings are present. Both these topological excitations may be responsible for the confinement of color. We illustrate our ideas by some explicit results in the Abelian Higgs model with the Villain action.

(talks presented by M.I.Polikarpov and M.A.Zubkov at Lattice 93). 9p, LaTeX

References in corpus (1)

• String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice

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• An Abelian two-Higgs model of strongly correlated electrons: phase structure, strengthening of phase transition and QCD at finite density
• Aharonov-Bohm Effect in Lattice Abelian Higgs Theory
• Aharonov--Bohm Effect in 3D Abelian Higgs Theory
• Gauge-invariant strings in the 3d U(1)+Higgs theory