论文标题
8-vertex模型中伯特向量的标量产品
Scalar products of Bethe vectors in the 8-vertex model
论文作者
论文摘要
我们获得了不均匀8 vertex模型中壳和外壳伯特载体的标准化标量产物的决定性表示。我们考虑了有理各向异性参数的案例,并使用广义代数ANSATZ方法。我们的方法是获得标量产品的线性方程系统,证明其可溶解性并根据明确已知的矩阵的决定因素解决。
We obtain a determinant representation of normalized scalar products of on-shell and off-shell Bethe vectors in the inhomogeneous 8-vertex model. We consider the case of rational anisotropy parameter and use the generalized algebraic Bethe ansatz approach. Our method is to obtain a system of linear equations for the scalar products, prove its solvability and solve it in terms of determinants of explicitly known matrices.