Algebraic Bethe ansatz for Q-operators: the Heisenberg spin chain

作者:Frassek Rouven*
来源:Journal of Physics A-Mathematical and Theoretical, 2015, 48(29): 294002.
DOI:10.1088/1751-8113/48/29/294002

摘要

We diagonalize Q-operators for rational homogeneous sl(2)-invariant Heisenberg spin chains using the algebraic Bethe ansatz. After deriving the fundamental commutation relations relevant for this case from the Yang-Baxter equation we demonstrate that the Q-operators act diagonally on the Bethe vectors if the Bethe equations are satisfied. In this way we provide a direct proof that the eigenvalues of the Q-operators studied here are given by Baxter ' s Q-functions.

  • 出版日期2015-7-24