Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-30
J.Phys.A33:8275,2000
Physics
High Energy Physics
High Energy Physics - Theory
31pages, LaTex2e, A few references are added
Scientific paper
10.1088/0305-4470/33/46/310
Belavin's $\mathbb{Z}_n$-symmetric elliptic model with boundary reflection is considered on the basis of the boundary CTM bootstrap. We find non-diagonal $K$-matrices for $n>2$ that satisfy the reflection equation (boundary Yang--Baxter equation), and also find non-diagonal Boltzmann weights for the $A^{(1)}_{n-1}$-face model even for $n\geqq 2$. We derive difference equations of the quantum Knizhnik-Zamolodchikov type for correlation functions of the boundary model. The boundary spontaneous polarization is obtained by solving the simplest difference equations. The resulting quantity is the square of the spontaneous polarization for the bulk $\mathbb{Z}_n$-symmetric model, up to a phase factor.
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