Baxter Equation for the QCD Odderon

Abstract

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.

14 pages, latex file, one figure

References in corpus (3)

• High energy QCD as a completely integrable model
• Gauge invariant effective action for high-energy processes in QCD
• Multi-color QCD at High Energies and Exactly Solvable Lattice Theories

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• Solution of the multi-reggeon compound state problem in multi-colour QCD
• Solution of the odderon problem for arbitrary conformal weights
• Onium-Onium scattering at fixed impact parameter: exact equivalence between the color dipole model and the BFKL Pomeron
• Integrable structures and duality in high-energy QCD
• Interpolation between Hubbard and supersymmetric t-J models. Two-parameter integrable models of correlated electrons