Abstract
This chapter discusses solving models in statistical mechanics. One of the main aims of statistical mechanics is to calculate the partition function Z. This can be done for a certain class of two-dimensional lattice models. They are by definition solvable and most of them can also be related to one-dimensional integrable Hamiltonians. The Ising, Potts, chiral Potts, and Fateev-Zamolodchikov models are all of this edge-interaction type. There are many relations between these models, for example, the Ising model is a special case of both the 8-vertex and chiral Potts models. The 8-vertex model is equivalent to the 8-vertex solidon-solid (SOS) model, in the sense that they both have the same partition function, even though they are formulated differently and have different order parameters. The hard hexagon model is a special case of the 8-vertex SOS model.
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