Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 7 (2011), 008, 16 pages      arXiv:1010.4382      https://doi.org/10.3842/SIGMA.2011.008
Contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”

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

Yas-Hiro Quano
Department of Clinical Engineering, Suzuka University of Medical Science, Kishioka-cho, Suzuka 510-0293, Japan

Received October 22, 2010, in final form January 07, 2011; Published online January 15, 2011

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 An−1(1) model and vertex-face transformation. As simple application for n=2, we obtain expressions for 2m-point form factors related to the σz and σx operators in the eight-vertex model.

Key words: vertex operator approach; form factors; Belavin's (Z/nZ)-symmetric model; integral formulae.

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