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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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

Scientific paper

10.1016/0370-2693(94)01353-E

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 $SU(2) \rightarrow U(1)$ 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.

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