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arXiv · hep-lat/9610005

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

L. Del Debbio·M. Faber·J. Greensite·S. Olejnik
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Abstract

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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L. Del Debbio, M. Faber, J. Greensite, S. Olejnik. 1996-10-02. Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory. https://doi.org/10.1103/physrevd.55.2298

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