[en] Non-local order parameters are constructed to test confinement, deconfinement and broken charge symmetry phases of lattice gauge theories with matter fields. The relation of these classical fields to the structure of the quantum theory is analyzed. In the case of the Z(2) Higgs model the author explicitely constructs a charged sector in the free-charge phase. The confinement-screening phase turns out to be split into two phases from the stand-point of non-local fields. This phase transition can be interpreted as the breaking of the global gauge symmetry. (author)