Monopole Chains in the Compact Abelian Higgs Model with doubly-charged Matter Field

Abstract

We study the properties of topological defects in the lattice compact Abelian Higgs Model with charge Q=2 matter field. We find that monopoles and antimonopoles form chain-like structures which are dense in the confinement/symmetric phase. In this phase the mentioned structures explain both the confinement of single-charged and the breaking of strings spanned between doubly-charged test particles. This observation helps to understand how the non-diagonal gluons, once taken into consideration in the Abelian projection of gluodynamics, could reproduce in this framework the string breaking for adjoint charges.

Comments: 11 pages, 8 figures; Revision 1: two figures added, percolation properties discussed, title changed, enlarged version; Revision 2: misprints are corrected, to be published in Phys.Lett.B