INTEGRABILITY OF 3-PARTICLE EVOLUTION-EQUATIONS IN QCD

Authors
BRAUN VM DERKACHOV SE MANASHOV AN
Citation
Vm. Braun et al., INTEGRABILITY OF 3-PARTICLE EVOLUTION-EQUATIONS IN QCD, Physical review letters, 81(10), 1998, pp. 2020-2023
Citations number
16
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
81
Issue
10
Year of publication
1998
Pages
2020 - 2023
Database
ISI
SICI code
0031-9007(1998)81:10<2020:IO3EIQ>2.0.ZU;2-Q
Abstract
We show that Brodsky-Lepage evolution equation for the spin-3/2 baryon distribution amplitude is completely integrable and reduces to the th ree-particle XXXs=-1 Heisenberg spin chain. Trajectories of the anomal ous dimensions are identified and calculated using the 1/N expansion. Extending this result, we prove integrability of the evolution equatio ns for twist-3 quark-gluon operators in the large N-c limit.