Abstract In Chapter 7 we introduced the Landau-Ginzburg ‘metamoder of phase transitions. The model’s partition function takes the form of a functional integral which cannot be done exactly. So in the last chapter we expressed this integral as an infinite series of functional integrals that can be reduced to ordinary multi-dimensional integrals. To keep track of these integrals we associated with each a Feynman diagram and used these diagrams to classify the integrals by the number of integrations or ‘loops’ each involves.