Bazhanov-Stroganov模型中的形状因子I:范数和矩阵元
Form-factors in the Baxter-Bazhanov-Stroganov model I: Norms and matrix elements
摘要:
我们继续使用分离变量方法研究Z_N-Baxter-Bazhanov-Stroganov模型[nlin/0603028]。本文计算了辅助问题的本征向量间的局部Z_N-自旋算子的范数和矩阵元。对于范数,在中间状态上的多个和被显式地执行。在N=2的情况下,我们解了Baxter方程,得到了有限格点上周期伊辛模型自旋算符的形状因子.
英文摘要:
We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix elements of a local Z_N-spin operator between eigenvectors of the auxiliary problem. For the norm the multiple sums over the intermediate states are performed explicitly. In the case N=2 we solve the Baxter equation and obtain form-factors of the spin operator of the periodic Ising model on a finite lattice.
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