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

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.

13 pages, latex, 5 figures included

References in corpus (5)

• Dirac sheets and gauge fixing in $U(1)$ lattice gauge theory
• Phase structure and monopoles in U(1) gauge theory
• Fixed boundary conditions and phase transitions in pure gauge compact QED
• Compact U(1) Gauge Theory on Lattices with Trivial Homotopy Group
• Monopole Percolation in pure gauge compact QED

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