Integrability of three-particle evolution equations in QCD

被引：173

作者：

Braun, VM

Derkachov, SE

Manashov, AN

机构：

[1] NORDITA, DK-2100 Copenhagen O, Denmark

[2] St Petersburg Technol Inst, Dept Math, St Petersburg, Russia

[3] St Petersburg State Univ, Dept Theoret Phys, St Petersburg 198904, Russia

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 10期

关键词：

D O I：

10.1103/PhysRevLett.81.2020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that 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 large N-c limit.

引用

页码：2020 / 2023

页数：4

共 16 条

[1] ASYMPTOTIC SOLUTIONS OF THE EVOLUTION EQUATION FOR THE POLARIZED NUCLEON STRUCTURE-FUNCTION G2(X, Q2) [J].