A Vertex Operator Approach for Form Factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-Symmetric Model and Its Application

Details A Vertex Operator Approach for Form Factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-Symmetric Model and Its Application A Vertex Operator Approach for Form Factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-Symmetric Model and Its Application

2010-10-21

arxiv.org/abs/1010.4382v5

SIGMA 7: 008,2011

Physics

Mathematical Physics

partly based on a talk given in International Workshop RAQIS'10, Recent Advances in Quantum Integrable Systems, held at LAPTH,

Scientific paper

10.3842/SIGMA.2011.008

A vertex operator approach for form factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-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 $\sigma^z$ and $\sigma^x$ operators in the eight-vertex model.

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