Renormalization of twist-three operators and integrable lattice models
Abstract
We address the problem of solution of the QCD three-particle evolution equations which govern the Q-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). 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 bulk 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.
Keywords
Cite
@article{arxiv.hep-ph/9907420,
title = {Renormalization of twist-three operators and integrable lattice models},
author = {A. V. Belitsky},
journal= {arXiv preprint arXiv:hep-ph/9907420},
year = {2014}
}
Comments
42 pages, LaTeX, 12 figures; Eq. (152) is corrected