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

Abstract

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.

20 pages; v2: typo fixed

References in corpus (5)

• A Shortcut to the Q-Operator
• Hidden Grassmann Structure in the XXZ Model II: Creation Operators
• Singular solutions, repeated roots and completeness for higher-spin chains
• Where are the roots of the Bethe Ansatz equations?
• Drinfeld basis for string-inspired Baxter operators