Belitsky, A. V. (2000) Renormalization of twist-three operators and integrable lattice models. NUCLEAR PHYSICS B, 574 (1-2). pp. 407-447. ISSN 0550-3213
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We address the problem of solution of the QCD three-particle evolution equations which govern the Q(2)-dependence of the chiral-even quark-gluon-quark and three-gluon correlators contributing to a number of asymmetries at leading order and the transversely polarized structure function g(2)(x(Bj)). The quark-gluon-quark case is completely integrable in multicolour limit and corresponds to a spin chain with non-periodic boundary conditions, while the pure gluonic sector contains, apart from a piece in the Hamiltonian equivalent to XXX Heisenberg magnet of spin s = -3/2, a non-integrable addendum which can be treated perturbatively for a bull; of the spectrum except for a few lowest energy levels. We construct a quasiclassical expansion with respect to the total conformal spin of the system and describe fairly well the energy spectra of quark-gluon-quark and three-gluon systems. (C) 2000 Elsevier Science B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | STRUCTURE-FUNCTION G(2)(X,Q(2)); TRANSVERSE SPIN ASYMMETRIES; STRUCTURE-FUNCTION G2(X; POWER CORRECTIONS; QUANTUM CHROMODYNAMICS; EVOLUTION-EQUATIONS; CONFORMAL OPERATORS; ASYMPTOTIC-BEHAVIOR; HADRONIC SCATTERING; BOUNDARY-CONDITIONS; twist-three operators; evolution; three-particle problem; integrability; spectrum of eigenvalues |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 May 2022 09:13 |
| Last Modified: | 03 May 2022 09:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/42482 |
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