High energy QCD as a completely integrable model

1994/04/28 by L. D. Faddeev, L.D. Faddeev, G.P. Korchemsky +1 · 15 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1016/0370-2693(94)01363-h

published as Phys.Lett. B342 (1995) 311-322 · Latex style, 16 pages, ITP-SB-94-14

arxiv created 1994/04/28 · openalex publication_date 1995/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the one-dimensional lattice model proposed by Lipatov to describe the high energy scattering of hadrons in multicolor QCD is completely integrable. We identify this model as the XXX Heisenberg chain of noncompact spin s=0 and find the conservation laws of the model. A generalized Bethe ansatz is developed for the diagonalization of the hamiltonian and for the calculation of hadron-hadron scattering amplitude.

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