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

Richard W. Haymaker·Andrei Alexandru
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Abstract

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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Richard W. Haymaker, Andrei Alexandru. 2002-05-01. Connections between Thin,Thick and Projection Vortices in SU(2) Lattice Gauge Theory. https://arxiv.org/abs/hep-lat/0205002

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