Monopole Percolation in the Compact Abelian Higgs Model

Abstract

We have studied the monopole-percolation phenomenon in the four dimensional Abelian theory that contains compact U(1) gauge fields coupled to unitary norm Higgs fields. We have determined the location of the percolation transition line in the plane $({\beta }_g,{\beta }_H)$. This line overlaps the confined-Coulomb and the confined-Higgs phase transition lines, originated by a monopole-condensation mechanism, but continues away from the end-point where this phase transition line stops. In addition, we have determined the critical exponents of the monopole percolation transition away from the phase transition lines. We have performed the finite size scaling in terms of the monopole density instead of the coupling, because the density seems to be the natural parameter when dealing with percolation phenomena.

13 pages. REVTeX. 16 figs. included using epsf

References in corpus (3)

• Measures of critical exponents in the four dimensional site percolation
• Gauge-ball spectrum of the four-dimensional pure U(1) gauge theory
• Chiral transition and monopole percolation in lattice scalar QED with quenched fermions

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• Embedded monopoles in quark eigenmodes in SU(2) Yang-Mills Theory
• String confinement in 2-form lattice gauge theory
• On the Universality Class of Monopole Percolation in Scalar QED