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Vortices and confinement at weak coupling

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arxiv hep-lat/9711009 v1 pith:OMYAQPNF submitted 1997-11-06 hep-lat hep-th

classification hep-lathep-th
keywords vorticescouplinglatticeweakconfinementdistancelinkedloop
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss the physical picture of thick vortices as the mechanism responsible for confinement at arbitrarily weak coupling in SU(2) gauge theory. By introducing appropriate variables on the lattice we distinguish between thin, thick and `hybrid' vortices, the latter involving Z(2) monopole loop boundaries. We present numerical lattice simulation results that demonstrate that the full SU(2) string tension at weak coupling arises from the presence of vortices linked to the Wilson loop. Conversely, excluding linked vortices eliminates the confining potential. The numerical results are stable under alternate choice of lattice action as well as a smoothing procedure which removes short distance fluctuations while preserving long distance physics.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Proposes torus and lens-space twisted partition functions as criteria for center-vortex and monopole condensation and proves vortex condensation implies monopole condensation in gapped phases.

  2. Center vortices in the novel phase of staggered fermions

    hep-lat 2025-06 conditional novelty 6.0 of 10

    Center vortices extracted from SU(3) lattice configurations capture the broken single-site shift symmetry of the staggered-fermion artifact phase, with only plaquettes spanning the broken dimension affected.

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