"Confinement Mechanism in Various Abelian Projections of $SU(2)$ Lattice Gluodynamics"

Abstract

We show that the monopole confinement mechanism in lattice gluodynamics is a particular feature of the maximal abelian projection. We give an explicit example of the $SU(2)\to U(1)$ projection (the minimal abelian projection), in which the confinement is due to topological objects other than monopoles. We perform analytical and numerical study of the loop expansion of the Faddeev--Popov determinant for the maximal and the minimal abelian projections, and discuss the fundamental modular region for these projections.

16 pages (LaTeX) and 3 figures, report ITEP-94-63

References in corpus (2)

• Structure of Abrikosov Vortices in SU(2) Lattice Gauge Theory
• String Representation of the Abelian Higgs Theory and Aharonov-Bohm Effect on the Lattice

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