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't Hooft Loops, Electric Flux Sectors and Confinement in SU(2) Yang-Mills Theory

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arxiv hep-lat/0107018 v2 pith:KI2TW2XE submitted 2001-07-25 hep-lat hep-phhep-th

classification hep-lathep-phhep-th
keywords electrictemperatureconfinementfluxhooftloopsphasesectors
verification ladder T0 review T1 audit T2 compute T3 formal
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We use 't Hooft loops of maximal size on finite lattices to calculate the free energy in the sectors of SU(2) Yang-Mills theory with fixed electric flux as a function of temperature and (spatial) volume. Our results provide evidence for the mass gap. The confinement of electric fluxes in the low temperature phase and their condensation in the high temperature phase are demonstrated. In a surprisingly large scaling window around criticality, the transition is quantitatively well described by universal exponents and amplitude ratios relating the properties of the two phases.

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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. Confinement as Decoding: Higher Form Codes and Lattice Yang-Mills Theory

    hep-th 2026-08 conditional novelty 6.0 of 10

    Decoding a higher-form quantum code with Wilson-line noise is the same computation as comparing center-twisted Yang-Mills partition functions; the paper works out this dictionary and its strong-coupling consequences.

  3. 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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