This is the third in a series of papers in which we set up and discuss the functional relations for the “split rapidity line” correlation function in the N-state chiral Potts model. The order parameters of the model can be obtained from this function. Here we consider the case N=3 and write...

We derive the free energy of the chiral Potts model by the infinite lattice “inversion relation” method. This method is non-rigorous in that it always needs appropriate analyticity assumptions. Guided by previous calculations based on exact finite-lattice functional relations, we find that...