Exact form factors in integrable quantum field theories : the scaling Z(N)-ising model

Abstract

A general form factor formula for the scaling Z(N)-Ising model is constructed. Exact expressions of all matrix elements are obtained for several local operators. In addition, the commutation rules for order, disorder parameters and para-Fermi fields are derived. Because of the unusual statistics of the fields, the quantum field theory seems not to be related to any classical Lagrangian or field equation.