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Vortex Structure vs. Monopole Dominance in Abelian-Projected Gauge Theory

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arxiv hep-lat/9907021 v1 pith:LF3PQ6VJ submitted 1999-07-27 hep-lat hep-th

J. Ambjorn , J. Giedt , J. Greensite This is my paper · ORCID
classification hep-lathep-th
keywords abelian-projectedlatticemonopoledominancefindgaugelinesstructure
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We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the abelian-projected lattice has at most Z(2), rather than U(1), global symmetry. We also find a severe breakdown of the monopole dominance approximation, as well as positivity, in this charge-2 case. These results imply that the abelian-projected lattice is not adequately represented by a monopole Coulomb gas; the data is, however, consistent with a center vortex structure. Further evidence is provided, in lattice Monte Carlo simulations, for collimation of confining color-magnetic flux into vortices.

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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. A $T_2 \times R^2$ roadmap to Confinement in SU(2) Yang-Mills theory

    hep-lat 2025-05 conditional novelty 6.0 of 10

    Lattice simulations show that on T2 x R2 with twisted boundary conditions, the SU(2) vacuum is a Poissonian 2D gas of fractional instantons, with string tension proportional to the gas density and approaching the infi...

  3. 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.

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