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Monopoles, vortices and confinement in SU(3) gauge theory

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arxiv hep-lat/0011048 v1 pith:PXXT3ZVW submitted 2000-11-09 hep-lat

L. Del Debbio , A. Di Giacomo , B. Lucini This is my paper · ORCID
classification hep-lat
keywords confinementdisorderdualgaugelineoperatorpolyakovtheory
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute, in SU(3) pure gauge theory, the vacuum expectation value (vev) of the operator which creates a $Z_3$ vortex wrapping the lattice through periodic boundary conditions (dual Polyakov line). The technique used is the same already tested in the SU(2) case. The dual Polyakov line proves to be a good disorder parameter for confinement, and has a similar behaviour to the monopole condensate. The new features which characterise the construction of the disorder operator in SU(3) are emphasised.

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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. 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. 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.

  3. Topological Data Analysis of Abelian Magnetic Monopoles in Gauge Theories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    Topological data analysis observables built from magnetic monopole current networks reproduce the known deconfinement critical coupling in compact U(1) and SU(3) lattice gauge theory.

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