Renormalization group flows for the second ZN parafermionic field theory for N even

Extending the results obtained in the case N odd, the effect of slightly relevant perturbations of the second parafermionic field theory with the symmetry ZN are studied for N even. The renormalization group equations, and their infra red fixed points, exhibit the same structure in both cases. In addition to the standard flow from the pth to the (p−2)th model, another fixed point corresponding to the (p−1)th model is found.