Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory

Details Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory

1996-10-02

arxiv.org/abs/hep-lat/9610005v1

Phys.Rev.D55:2298-2306,1997

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, Latex, uses psfig

Scientific paper

10.1103/PhysRevD.55.2298

We find, in close analogy to abelian dominance in maximal abelian gauge, the phenomenon of center dominance in maximal center gauge for $SU(2)$ lattice gauge theory. Maximal center gauge is a gauge-fixing condition that preserves a residual $Z_2$ gauge symmetry; ``center projection'' is the projection of $SU(2)$ link variables onto $Z_2$ center elements, and ``center dominance'' is the fact that the center-projected link elements carry most of the information about the string tension of the full theory. We present numerical evidence that the thin $Z_2$ vortices of the projected configurations are associated with ``thick'' $Z_2$ vortices in the unprojected configurations. The evidence also suggests that the thick $Z_2$ vortices may play a significant role in the confinement process.

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