Update_doc
Hi Jefferson, in the ALF 1.2 and next versions the \hat{Z}_k could be the third Pauli matrix, in which case the field s takes the from \pm 1. That is: \hat{Z}_k | s > = \pm 1 | s >. This would correspond to the vertex type 1. But now \hat{Z}_k could be for example the position operator. In this case, \hat{Z}k | Phi > = \phi| \phi > with \phi a real number. In this case, the vertex type is set to three. One should update the doc to take this into account. The only thing to change is to make it very clear to the user that s{i,\tau} can be a \pm 1 variable or a continuous real field. Thanks Fakher.