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Algebraic Bethe ansatz for Q-operators: The Heisenberg spin chain (1504.04501v2)
Published 17 Apr 2015 in math-ph, cond-mat.stat-mech, hep-th, math.MP, and nlin.SI
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.