Baxter Equation for the QCD Odderon

Details Baxter Equation for the QCD Odderon Baxter Equation for the QCD Odderon

1995-07-10

arxiv.org/abs/hep-th/9507056v1

J.Phys. A28 (1995) 6423-6434

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex file, one figure

Scientific paper

10.1088/0305-4470/28/22/018

The Hamiltonian derived by Bartels, Kwiecinski and Praszalowicz 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.

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