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Computation of the Vortex Free Energy in SU(2) Gauge Theory

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arxiv hep-lat/0002004 v2 pith:EN2MEYLW submitted 2000-02-03 hep-lat hep-ph

T.G. Kovacs (Leiden U.) , E.T. Tomboulis (UCLA) This is my paper · ORCID
classification hep-lathep-ph
keywords vortexcouplinggaugeweakcomputationconditionconfinementemploying
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the first measurement of the vortex free-energy order parameter at weak coupling for SU(2) in simulations employing multihistogram methods. The result shows that the excitation probability for a sufficiently thick vortex in the vacuum tends to unity. This is rigorously known to provide a necessary and sufficient condition for maintaining confinement at weak coupling in SU(N) gauge theories.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Direct Monte Carlo Computation of the 't~Hooft Partition Function

    hep-lat 2025-01 conditional novelty 7.0 of 10

    A direct Monte Carlo count of 't Hooft flux sectors yields the 't Hooft partition function for SU(2) Yang-Mills, confirming the ordinary confining phase and, via the Witten effect, indicating oblique confinement at theta=2pi.

  2. Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory

    hep-lat 2024-12 conditional novelty 7.0 of 10

    Making the Z2 two-form gauge field dynamical in an SU(2)/Z2 lattice simulation shortens the autocorrelation time of the topological charge and of a gradient-flow energy observable compared with conventional SU(2) HMC.

  3. Numerical Hints for Dyon Condensation at $\theta=2\pi$ via Wilson-'t Hooft Loops in $SU(2)$ Yang-Mills Theory

    hep-lat 2026-06 unverdicted novelty 6.0 of 10

    Lattice computation of Wilson-'t Hooft loops supplies numerical evidence for dyon condensation at theta=2pi in SU(2) Yang-Mills.

  4. 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.

  5. 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.

  6. Analyzing the Higgs-confinement transition with non-local operators on the lattice

    hep-lat 2025-01 conditional novelty 6.0 of 10

    The authors simulate the Aharonov-Bohm phase of a Wilson loop around a lattice vortex and find it gives phase π in the Higgs phase but is swamped by noise in the confinement phase.

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