2010/06/15 by K. K. Kozlowski, Karol K. Kozłowski, J. Teschner +1 · 1 citation
Arts and Humanities · Mathematics · Physics and Astronomy · Social Sciences · #Caribbean and African Literature and Culture #Chain (unit) #Computer science #Cuban History and Society #Physics #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/9789814324373_0011
21 pages
arxiv created 2010/06/15 · openalex publication_date 2010/10/01 · arxiv updated 2017/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We give a direct derivation of a proposal of Nekrasov-Shatashvili concerning the quantization conditions of the Toda chain.The quantization conditions are formulated in terms of solutions to a nonlinear integral equation similar to the ones coming from the thermodynamic Bethe ansatz.This is equivalent to extremizing a certain function called Yang's potential.It is shown that the Nekrasov-Shatashvili formulation of the quantization conditions follows from the solution theory of the Baxter equation, suggesting that this way of formulating the quantization conditions should indeed be applicable to large classes of quantized algebraically integrable models.