MONOPOLE PERCOLATION IN THE COMPACT ABELIAN HIGGS-MODEL

We have studied the monopole-percolation phenomenon in the four dimens ional Abelian theory that contains compact U(1) gauge fields coupled t o unitary norm Higgs fields. We have determined the location of the pe rcolation transition line in the plane (beta(g), beta(H)). This line o verlaps the confined-Coulomb and the confined-Higgs phase transition l ines, originated by a monopole-condensation mechanism, but continues a way from the end point where this phase transition line stops. In addi tion, we have determined the critical exponents of the monopole percol ation transition away from the phase transition lines. We have perform ed the finite size scaling in terms of the monopole density instead of the coupling, because the density seems to be the natural parameter w hen dealing with percolation phenomena. [S0556-2821(98)03107-5].