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Baxter Q-operators of the XXZ chain and R-matrix factorization
Affiliation:1. Department of Mathematics, St Petersburg Technology Institute, Sankt Petersburg, Russia;2. Yerevan Physics Institute, Br. Alikhanian st. 2, 375036 Yerevan, Armenia;3. Institut für Theoretische Physik, Universität Leipzig, PF 100920, D-04009 Leipzig, Germany;1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;2. Collaborative Innovation Center of Quantum Matter, Beijing, China;3. Institute of Modern Physics, Northwest University, Xian 710069, China;4. Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048, China;1. Department of Physics, University of Pisa, Italy;2. INFN, Pisa section, Italy;3. Department of Theoretical Physics, Budapest University of Technology and Economics, Hungary;4. MTA-BME “Momentum” Statistical Field Theory Research Group, Hungary;5. SISSA and INFN, Trieste, Italy;6. The Abdus Salam ICTP, Trieste, Italy;1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;2. Collaborative Innovation Center of Quantum Matter, Beijing, China;3. Institute of Modern Physics, Northwest University, Xian 710069, China;4. Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing 100048, China;1. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;2. Institute of Modern Physics, Northwest University, Xian 710069, China;1. National Laboratory of Solid State Microstructures, School of Physics and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;2. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;3. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;4. Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China;5. Peng Huanwu Center for Fundamental Theory, Xian 710127, China;1. Yerevan Physics Institute, 2 Alikhanyan br., 0036 Yerevan, Armenia;2. Institut für Theoretische Physik, Universität Leipzig, PF 100 920, D-04009 Leipzig, Germany
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.
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