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On the relevance of center vortices to QCD

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arxiv hep-lat/9901020 v2 pith:B2DXSOLE submitted 1999-01-25 hep-lat hep-phhep-th

Ph. de Forcrand (ETH Zurich) , M. D'Elia (U. Pisa) This is my paper · ORCID
classification hep-lathep-phhep-th
keywords centervorticesensemblelostabelianaddschiralconfigurations
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In a numerical experiment, we remove center vortices from an ensemble of lattice SU(2) gauge configurations. This removal adds short-range disorder. Nevertheless, we observe long-range order in the modified ensemble: confinement is lost and chiral symmetry is restored (together with trivial topology), proving that center vortices are responsible for both phenomena. As for the Abelian monopoles, they survive but their percolation properties are lost.

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Cited by 5 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. First steps towards gauge-independent vortex identification through machine learning

    hep-lat 2026-05 unverdicted novelty 6.0 of 10

    A neural network trained on 2D SU(2) lattices with inserted thin Z2 vortices, after random gauge transformations, noise, and cooling, can locate center vortices at moderate visibility levels and scales via tiling.

  3. 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.

  4. Cartan Fluxes in $SU(3)$ Lattice Gauge Theory

    hep-lat 2026-04 unverdicted novelty 5.0 of 10

    A root-lattice based DeGrand-Toussaint algorithm detects SU(3) monopoles with a density about 15% lower than the standard U(1)^3 method and yields Weyl-symmetric charge counts.

  5. Chiral Symmetry Breaking on the Lattice

    hep-lat 2019-08 accept novelty 2.0 of 10

    A review of chiral symmetry breaking in QCD on the lattice, deriving the Banks-Casher relation and summarizing lattice results for the chiral condensate.

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