Integrability of Three-Particle Evolution Equations in QCD

1998/05/29 by V. M. Braun, S. E. Derkachov, S. É. Derkachov +1 · 10 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.81.2020

published as Phys.Rev.Lett. 81 (1998) 2020-2023 · 8 pages, 1 figure, uses revtex and amstex. Presentation improved in several places, Eqs. (11b) and (27) corrected, a few misprints fixed, acknowledgement enlarged

arxiv created 1998/05/29 · openalex publication_date 1998/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that Brodsky-Lepage evolution equation for the spin-3/2 baryon distribution amplitude is completely integrable and reduces to the three-particle XXX_s\phantom\rule0ex0ex=\phantom\rule0ex0ex\ensuremath-1 Heisenberg spin chain. Trajectories of the anomalous dimensions are identified and calculated using the 1/N expansion. Extending this result, we prove integrability of the evolution equations for twist-3 quark-gluon operators in the large N_c limit.

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