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Center Vortices and Monopoles without lattice Gribov copies

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arxiv hep-lat/0008016 v3 pith:5PKBSQIX submitted 2000-08-15 hep-lat hep-th

classification hep-lathep-th
keywords centergaugevorticeslatticemonopolesadjointambiguitiesappear
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct a smooth gauge for the adjoint field which is free of ambiguities on the lattice. In this Laplacian Center Gauge, center vortices and monopoles appear together as local gauge defects. A numerical study of center vortices in SU(2) and SU(3) supports equality of the $Z_N$ and SU(N) string tensions in the continuum limit, and only then.

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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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