Correlation functions of the XYZ model with a boundary

Abstract

Integral formulae for the correlation functions of the XYZ model with a boundary are calculated by mapping the model to the bosonized boundary SOS model. The boundary K-matrix considered here coincides with the known general solution of the boundary Yang-Baxter equation. For the case of diagonal K-matrix, our formulae reproduce the one-point function previously obtained by solving boundary version of quantum Knizhnik-Zamolodchikov equation.

35 pages, 12 figures

References in corpus (1)

• Nearest neighbor two-point correlation function of the $Z$-invariant eight-vertex model

Cited by in corpus (3)

• Free field construction for the eight-vertex model: representation for form factors
• Difference equations for correlation functions of $A_{n-1}^{(1)}$-face model with boundary reflection
• Difference equations for correlation functions of Belavin's $Z_n$-symmetric model with boundary reflection