A vertex operator approach for correlation functions of Belavin's (ℤ/nℤ)-symmetric model

Abstract

Belavin's (ℤ/nℤ)-symmetric model is considered on the basis of bosonization of vertex operators in the A(1)n−1 model and vertex–face transformation. The corner transfer matrix (CTM) Hamiltonian of the (ℤ/nℤ)-symmetric model and tail operators are expressed in terms of bosonized vertex operators in the A(1)n−1 model. Correlation functions of the (ℤ/nℤ)-symmetric model can be obtained by using these objects, in principle. In particular, we calculate spontaneous polarization, which reproduces the result we obtained in 1993.