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.
Monopole currents and Dirac sheets in U(1) lattice gauge theory
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abstract
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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Topological Data Analysis of Abelian Magnetic Monopoles in Gauge Theories
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.