Discrete Hirota's equation in quantum integrable models

Details Discrete Hirota's equation in quantum integrable models Discrete Hirota's equation in quantum integrable models

1996-10-07

arxiv.org/abs/hep-th/9610039v1

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX

Scientific paper

The recent progress in revealing classical integrable structures in quantum models solved by Bethe ansatz is reviewed. Fusion relations for eigenvalues of quantum transfer matrices can be written in the form of classical Hirota's bilinear difference equation. This equation is also known as the completely discretized version of the 2D Toda lattice. We explain how one obtains the specific quantum results by solving the classical equation. The auxiliary linear problem for the Hirota equation is shown to generalize Baxter's T-Q relation.

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