Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-05-05
Phys.Rev.Lett. 81 (1998) 2020-2023
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 1 figure, uses revtex and amstex. Presentation improved in several places, Eqs. (11b) and (27) corrected, a few mispr
Scientific paper
10.1103/PhysRevLett.81.2020
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.
Braun Vladimir M.
Derkachov Sergey E.
Manashov Alexander N.
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