Functional relations from the Yang-Baxter algebra: Eigenvalues of the \(XXZ\) model with non-diagonal twisted and open boundary conditions
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Publication:2461155
DOI10.1016/J.NUCLPHYSB.2007.09.011zbMATH Open1151.82005arXiv1312.6816OpenAlexW1970395736MaRDI QIDQ2461155
Author name not available (Why is that?)
Publication date: 26 November 2007
Published in: (Search for Journal in Brave)
Abstract: Functional equations methods are a fundamental part of the theory of Exactly Solvable Models in Statistical Mechanics and they are intimately connected with Baxter's concept of commuting transfer matrices. This concept has culminated in the celebrated Yang-Baxter equation which plays a fundamental role for the construction of quantum integrable systems and also for obtaining their exact solution. Here I shall discuss a proposal that has been put forward in the past years, in which the Yang-Baxter algebra is viewed as a source of functional equations describing quantities of physical interest. For instance, this method has been successfully applied for the description of the spectrum of open spin chains, partition functions of elliptic models with domain wall boundaries and scalar product of Bethe vectors. Further applications of this method are also discussed.
Full work available at URL: https://arxiv.org/abs/1312.6816
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