Baxter Q-operators of the XXZ chain and R-matrix factorization

Abstract

We construct Baxter operators as generalized transfer matrices being traces of products of generic $R$ matrices. The latter are shown to factorize into simpler operators allowing for explicit expressions in terms of functions of a Weyl pair of basic operators. These explicit expressions are the basis for explicit expression for Baxter Q-operators and for investigating their properties.

19 pages LaTex, references added

References in corpus (4)

• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• A Q-Operator Identity for the Correlation Functions of the Infinite XXZ Spin-Chain
• The q-binomial formula and the Rogers dilogarithm identity
• Baxters's Q-operators for the simplest q-deformed model

Cited by in corpus (15)

• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• 5D partition functions, q-Virasoro systems and integrable spin-chains
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• Baxter Q-operator from quantum K-theory
• The Baxter's Q-operator for the W-algebra $W_N$
• Q-operators in the six-vertex model
• Yang-Baxter R operators and parameter permutations
• Baxter operators with deformed symmetry
• Baxter operators for arbitrary spin II
• Baxter operators for arbitrary spin
• Anisotropic Landau-Lifshitz Model in Discrete Space-Time
• An Ising-type formulation of the six-vertex model
• A Q-operator for open spin chains I: Baxter's TQ relation
• Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
• Jordan-Schwinger Representations and Factorised Yang-Baxter Operators