Integrability of three-particle evolution equations in QCD
High Energy Physics - Phenomenology
2009-10-31 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.hep-ph/9805225,
title = {Integrability of three-particle evolution equations in QCD},
author = {V. M. Braun and S. E. Derkachov and A. N. Manashov},
journal= {arXiv preprint arXiv:hep-ph/9805225},
year = {2009}
}
Comments
8 pages, 1 figure, uses revtex and amstex. Presentation improved in several places, Eqs. (11b) and (27) corrected, a few misprints fixed, acknowledgement enlarged