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Monopole currents and Dirac sheets in U(1) lattice gauge theory

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arxiv hep-lat/9501023 v1 pith:MRFNJUFA submitted 1995-01-20 hep-lat

W. Kerler , C. Rebbi , A. Weber This is my paper · ORCID
classification hep-lat
keywords sheetscurrentsdiracgaugelatticeminimalmonopolephases
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We show that the phases of the 4-dimensional compact U(1) lattice gauge theory are unambiguously characterized by the topological properties of minimal Dirac sheets as well as of monopole currents lines. We obtain the minimal sheets by a simulated-annealing procedure. Our results indicate that the equivalence classes of sheet structures are the physical relevant quantities and that intersections are not important. In conclusion we get a percolation-type view of the phases which holds beyond the particular boundary conditions used.

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  1. 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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