Connections between Thin,Thick and Projection Vortices in SU(2) Lattice Gauge Theory

Details Connections between Thin,Thick and Projection Vortices in SU(2) Lattice Gauge Theory Connections between Thin,Thick and Projection Vortices in SU(2) Lattice Gauge Theory

2002-05-01

arxiv.org/abs/hep-lat/0205002v1

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 2 eps figures. Contributed to NATO Advanced Research Workshop on Confinement, Topology, and other Nonperturbative Asp

Scientific paper

We elucidate the connection between $SO(3) \times Z(2)$ and the usual SU(2) configuration variables. By exploiting the freedom of choosing a particular SO(3) representative we find a direct connection between the two configuration spaces. We are then able to compare the Kovacs-Tomboulis formulation of center vortices with the projection vortex formulation on the same configuration. Choosing a different representative, and going to the maximal center gauge, we show that projection vortices occur without approximation. The projection vortex dominance approximation results from dropping a factor in an exact expression for the Wilson loop.

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