Abstract
We elucidate the connection between SO (3) x 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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© 2002 Springer Science+Business Media Dordrecht
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Haymaker, R.W., Alexandru, A. (2002). Connections Between Thin, Thick and Projection Vortices in SU(2) Lattice Gauge Theory. In: Greensite, J., OlejnÃk, Å . (eds) Confinement, Topology, and Other Non-Perturbative Aspects of QCD. NATO Science Series, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0502-9_21
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DOI: https://doi.org/10.1007/978-94-010-0502-9_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-0874-0
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