Integrability of Three-Particle Evolution Equations in QCD
نویسندگان
چکیده
منابع مشابه
Integrability of three-particle evolution equations in QCD
We show that the Brodsky-Lepage evolution equation for the spin 3/2 baryon distribution amplitude is completely integrable and reduces to the three-particle XXXs=−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...
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This paper was motivated by the observation that after quickly finding a number of hierarchies (mKdV, Sawada-Kotera, Kaup-Kuperschmidt) soon after finding that KdV was integrable, nothing more was found for polynomial scalar evolution equations linear in the highest order derivative. In this paper we prove that under some mild conditions on the equations one can put a uniform bound on the order...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1998
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.81.2020