Simulation of a Z(N) Bose System
connect two neighboring grid points of a n-dimensional lattice (grid). The link variables U are complex numbers with an absolute value of 1 and a phase factor
f, i.e. U = exp(i f). You can choose the number N of possible values for U (i.e. the group Z(N)) between 2 (the gauged Ising model) and 8. For a given N the
phase factor can take the values f = (2 pi n)/N where n varies between 0 and N-1. That means, for N=2 U can be either +1 or -1, in the case of N=4 U is +1,
i, -1 or -i, and so on.