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arXiv · hep-ph/9805225

Integrability of three-particle evolution equations in QCD

V. M. Braun·S. E. Derkachov·A. N. Manashov
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Abstract

We show that Brodsky-Lepage evolution equation for the leading twist spin 3/2 baryon distribution amplitude is completely integrable and reduces to the three-particle XXX_{s=-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 and derive explicit expressions for the corresponding integrals of motion.

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V. M. Braun, S. E. Derkachov, A. N. Manashov. 1998-05-29. Integrability of three-particle evolution equations in QCD. https://doi.org/10.1103/physrevlett.81.2020

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