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

dc.creatorHaymaker, Richard W.
dc.creatorAlexandru, Andrei
dc.date2002-05-01
dc.date.accessioned2026-07-07T03:38:48Z
dc.date.available2026-07-07T03:38:48Z
dc.descriptionWe 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.
dc.description8 pages, 2 eps figures. Contributed to NATO Advanced Research Workshop on Confinement, Topology, and other Nonperturbative Aspects of QCD, Stara Lesna, Slovakia, 21-27 Jan 2002
dc.identifierhttps://arxiv.org/abs/hep-lat/0205002
dc.identifierhttp://arxiv.org/abs/hep-lat/0205002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38685
dc.subjectHigh Energy Physics - Lattice
dc.titleConnections between Thin,Thick and Projection Vortices in SU(2) Lattice Gauge Theory
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