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A study of the 't Hooft loop in SU(2) Yang-Mills theory

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arxiv hep-lat/0007034 v2 pith:ZH5ISB7L submitted 2000-07-22 hep-lat

Ph. de Forcrand (ETH Zurich , CERN) , M. D'Elia (U. Pisa) , M. Pepe (ETH Zurich) This is my paper · ORCID
classification hep-lat
keywords hooftloopspatialtheoryyang-millsbehaviourcriticaldeconfined
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abstract

We study the behaviour of the spatial and temporal 't Hooft loop at zero and finite temperature in the 4D SU(2) Yang-Mills theory, using a new numerical method. In the deconfined phase $T>T_c$, the spatial 't Hooft loop exhibits a dual string tension, which vanishes at $T_c$ with 3D Ising-like critical exponent.

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Cited by 4 Pith papers

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

  1. Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions

    hep-lat 2026-01 unverdicted novelty 7.0 of 10

    Tensor renormalization group computes symmetry-twisted partition functions to identify critical points solely from them, yielding Tc=2.2017(2) and nu=0.663(33) for the 3D O(2) model plus TBKT=0.8928(2) for the 2D O(2)...

  2. 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.

  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. 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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