Integrability and WKB solution of twist-three evolution equations

被引：81

作者：

Belitsky, AV ^{[1
]}

机构：

[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany

来源：

NUCLEAR PHYSICS B | 1999年 / 558卷 / 1-2期

关键词：

twist-three operators; evolution; three-particle problem; integrability; open spin chain; spectrum of eigenvalues;

D O I：

10.1016/S0550-3213(99)00402-2

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We identify an integrable one-dimensional inhomogeneous three-site open spin chain which arises in the problem of diagonalization of twist-three quark-gluon evolution equations in QCD in the chiral-odd sector, Making use of the existence of a non-trivial 'hidden' integral of motion the problem of diagonalization of the evolution kernels is reduced to the study of a second-order finite-difference equation which is solved in WKB approximation for large conformal spins of the three-particle system. The energies (alias anomalous dimensions) of eigenstates with different scale dependence are found in limiting cases and compared with numerical calculations. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：259 / 284

页数：26

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