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arXiv:1010.4382 · Symmetry Integrability and Geometry Methods and Applications

A Vertex Operator Approach for Form Factors of Belavin's (Z/nZ)-Symmetric Model and Its Application

Yas-Hiro Quano

Published Jan 15, 2011• 0 citations
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Abstract

A vertex operator approach for form factors of Belavin's (Z/nZ)-symmetric model is constructed on the basis of bosonization of vertex operators in the A (1) n-1 model and vertex-face transformation.As simple application for n = 2, we obtain expressions for 2m-point form factors related to the σ z and σ x operators in the eight-vertex model.

DOI
10.3842/sigma.2011.008

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A vertex operator approach for form factors of Belavin's (Z/nZ)-symmetric model is constructed on the basis of bosonization of vertex operators in the A (1) n-1 model and vertex-face transformation.As simple application for n = 2, we obtain expressions for 2m-point form factors related to the σ z and σ x operators in the eight-vertex model.
Belavin's (ℤ/ n ℤ)-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/ n ℤ)-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/ n ℤ)-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.