Belitsky, Andrei V. (1999) Integrability and WKB solution of twist-three evolution equations. NUCLEAR PHYSICS B, 558 (1-2). pp. 259-284. ISSN 0550-3213,
Full text not available from this repository. (Request a copy)Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ODD PARTON DISTRIBUTIONS; HIGH-ENERGY COLLISIONS; DRELL-YAN PROCESS; Q(2) EVOLUTION; CONFORMAL OPERATORS; ASYMPTOTIC-BEHAVIOR; MULTICOLOR QCD; H(L)(X,Q(2)); CONSTRAINTS; E(X,Q(2)); twist-three operators; evolution; three-particle problem; integrability; open spin chain; spectrum of eigenvalues |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Dec 2022 08:06 |
| Last Modified: | 20 Dec 2022 08:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/48932 |
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