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Center dominance andZ2vortices in SU(2) lattice gauge theory

1996/10/02 by Luigi Del Debbio, L. Del Debbio, M. Faber +4 · 9 citations
Engineering · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications #hep-lat

paper · pdf · doi:10.1103/physrevd.55.2298

published as Phys.Rev.D55:2298-2306,1997 · 21 pages, Latex, uses psfig

arxiv created 1996/10/02 · openalex publication_date 1997/02/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We find, in close analogy to Abelian dominance in the maximal Abelian gauge, the phenomenon of center dominance in the maximal center gauge for SU(2) lattice gauge theory. The maximal center gauge is a gauge-fixing condition that preserves a residual Z2 gauge symmetry; ``center projection'' is the projection of SU(2) link variables onto Z2 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 Z2 vortices of the projected configurations are associated with ``thick'' Z2 vortices in the unprojected configurations. The evidence also suggests that the thick Z2 vortices may play a significant role in the confinement process.

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