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Center Projection Vortices in Continuum Yang-Mills Theory

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arxiv hep-th/9907139 v1 pith:GKUYJG6A submitted 1999-07-16 hep-th hep-lat

M. Engelhardt , H. Reinhardt (Tuebingen) This is my paper · ORCID
classification hep-thhep-lat
keywords centervortexgaugecontinuumlatticeconfigurationsindexmaximal
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The maximal center gauge, combined with center projection, is a means to associate Yang-Mills lattice gauge configurations with closed center vortex world-surfaces. This technique allows to study center vortex physics in lattice gauge experiments. In the present work, the continuum analogue of the maximal center gauge is constructed. This sheds new light on the meaning of the procedure on the lattice and leads to a sketch of an effective vortex theory in the continuum. Furthermore, the manner in which center vortex configurations generate the Pontryagin index is investigated. The Pontryagin index is built up from self-intersections of the vortex world-surfaces, where it is crucial that the surfaces be globally non-oriented.

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Cited by 4 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. Centre vortex evidence for a second finite-temperature QCD transition

    hep-lat 2024-11 conditional novelty 6.0 of 10

    Centre vortex percolation persists through the chiral crossover in 2+1 flavour QCD and is lost near 321 MeV, suggesting a separate deconfinement transition at about 1.9 times the chiral transition temperature.

  3. Lattice gradient flows (de-)stabilizing topological sectors

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Iwasaki and DBW2 gradient flows keep the topological charge of SU(2) gauge configurations stable at long flow times, unlike Wilson and Symanzik flows; DBW2 quantizes the charge already near t=0.5.

  4. Gluon mass scale through the Schwinger mechanism

    hep-ph 2025-01 conditional novelty 2.0 of 10

    A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.

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