Monopole Percolation in the Compact Abelian Higgs Model

Details Monopole Percolation in the Compact Abelian Higgs Model Monopole Percolation in the Compact Abelian Higgs Model

1997-10-10

arxiv.org/abs/hep-lat/9710042v1

Phys.Rev. D57 (1998) 3902-3909

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages. REVTeX. 16 figs. included using epsf

Scientific paper

10.1103/PhysRevD.57.3902

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.

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