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

M. N. Chernodub·M. I. Polikarpov·A. I. Veselov
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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 $SU(2) \rightarrow U(1)$ 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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M. N. Chernodub, M. I. Polikarpov, A. I. Veselov. 1994-08-11. "Confinement Mechanism in Various Abelian Projections of $SU(2)$ Lattice Gluodynamics". https://doi.org/10.1016/0370-2693(94)01353-e

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