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Investigating Confinement in Dually Transformed U(1) Lattice Gauge Theory

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arxiv hep-lat/9705019 v1 pith:53K7YLK2 submitted 1997-05-14 hep-lat

Martin Zach , Manfried Faber , Peter Skala This is my paper · ORCID
classification hep-lat
keywords chargedistanceslatticebehaviourconfinementdeviationdualdually
verification ladder T0 review T1 audit T2 compute T3 formal
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The dually transformed path integral of four-dimensional U(1) lattice gauge theory is used for the calculation of expectation values in the presence of external charges. Applying the dual simulation to flux tubes for charge distances up to around 20 lattice spacings, we find a deviation from the behaviour of a dual type-II superconductor in the London limit at large distances. The roughening of the flux tube agrees with the effective string picture of confinement. Further we show that finite temperature effects are negligible for time extents larger than the charge distance. Finally we analyze the different contributions to the total energy of the electromagnetic field. The parallel component of the magnetic field turns out to have the strongest influence on the deviation from the linear behaviour at small charge distances.

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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. On the equation of state of U(1) lattice gauge theory in three dimensions

    hep-lat 2025-01 conditional novelty 6.0 of 10

    The equation of state of 3D U(1) lattice gauge theory is consistent with a single massive state below T_c and a free photon gas above T_c, with no Hagedorn tower of states.

  2. Intrinsic Width of the Flux Tube as a tool to explore confining mechanisms in Lattice Gauge Theories

    hep-lat 2026-01 unverdicted novelty 5.0 of 10

    Lattice data on the intrinsic width of SU(2) flux tubes in 2+1D distinguish confining models, favoring dual superconductor at low T but with length-dependent Ginzburg-Landau parameter.

  3. Intrinsic width of the flux tube in 2+1 dimensional Yang-Mills therories

    hep-lat 2025-01 conditional novelty 5.0 of 10

    The flux tube profile in 2+1 SU(2) Yang-Mills is governed by a single intrinsic width that equals T/(2 sigma(T)) at high temperature.

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