1995/07/10 by Z. Maassarani, S. Wallon
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-ph #hep-th
paper · pdf · doi:10.1088/0305-4470/28/22/018
published as J.Phys. A28 (1995) 6423-6434 · 14 pages, latex file, one figure
arxiv created 1995/07/10 · openalex publication_date 1995/11/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The Hamiltonian derived by Bartels (1980), Kwiecinski and Praszalowicz (1980) for the study of high-energy QCD in the generalized logarithmic approximation was found to correspond to the Hamiltonian of an integrable XXX spin chain. We study the odderon Hamiltonian corresponding to three sites by means of the Bethe ansatz approach. We rewrite the Baxter equation, and consequently the Bethe ansatz equations, as a linear triangular system. We derive a new expression for the eigenvectors and the eigenvalues, and discuss the quantization of the conserved quantities.