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Topology of Center Vortices

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arxiv hep-th/0112215 v1 pith:3WZ6HBTD submitted 2001-12-21 hep-th

H. Reinhardt This is my paper · ORCID
classification hep-th
keywords centervorticesclosedfluxloopstopologychangescharge
verification ladder T0 review T1 audit T2 compute T3 formal

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The topology of center vortices is studied. For this purpose it is sufficient to consider mathematically idealised vortices, defined in a gauge invariant way as closed (infinitely thin) flux surfaces (in D=4 dimensions) which contribute the n'th power of a non-trivial center element to Wilson loops when they are n-foldly linked to the latter. In ordinary 3-space generic center vortices represent closed magnetic flux loops which evolve in time. I show that the topological charge of such a time-dependent vortex loop can be entirely expressed by the temporal changes of its writhing number.

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Cited by 3 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. 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.

  3. 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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