Partition function of the three-dimensional Zamolodchikov model

Abstract

It is shown that the Zamolodchikov model on the cubic lattice of N sites is equivalent to a spin model on a lattice of 2N sites with just two-spin and three-spin interactions. Together with the known transfer-matrix commutativity, this implies that the partition function Z (for N large) factors into a product of single-variable functions. These functions, and hence Z, are calculated by using symmetry relations. The model appears to be a critical free-fermion model. Show more