Q-operators for the open Heisenberg spin chain

Frassek, R. and Szécsényi, István Máté (2015) Q-operators for the open Heisenberg spin chain. NUCLEAR PHYSICS B, 901. pp. 229-248. ISSN 0550-3213

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Abstract

We construct Q-operators for the open spin-. 12 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. © 2015 The Authors.

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