Mean-field approach to Z(N) gauge systems with generalized action

The phase diagram of Z(N) lattice gauge theories with generalized action is examined in the mean-field approach. The phase diagram is well reproduced, with the exception of the Coulomb phase, which is absent. A previously indentified mechanism that dynamically generates the Coulomb phase from quantum fluctuations is shown to give good agreement with Monte Carlo data in four dimensions. (orig.)