开海森堡自旋链的Q算子
Q-operators for the open Heisenberg spin chain
摘要：
我们构造了具有对角边界矩阵的开自旋-1/2XXX海森堡自旋链的Q-算子。Q-算子被定义为无限维辅助空间上的迹，其中包含由边界Yang-Baxter方程导出的新型反射算子。我们认为，以这种方式定义的Q-算子是多项式的谱参数，并表明他们交换的转移矩阵。最后，我们证明了Q算子满足Baxter的TQ方程，并导出了它们的特征值的Bethe根的显式形式。
英文摘要：
We construct Q-operators for the open spin-1/2 XXX Heisenberg spin chain with diagonal boundary matrices. The Q-operators are defined as traces over an infinite-dimensional auxiliary space involving novel types of reflection operators derived from the boundary Yang-Baxter equation. We argue that the Q-operators defined in this way are polynomials in the spectral parameter and show that they commute with transfer matrix. Finally, we prove that the Q-operators satisfy Baxter's TQ-equation and derive the explicit form of their eigenvalues in terms of the Bethe roots.
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