Renormalization of twist-three operators and integrable lattice models

Details Renormalization of twist-three operators and integrable lattice models Renormalization of twist-three operators and integrable lattice models

1999-07-19

arxiv.org/abs/hep-ph/9907420v3

Nucl.Phys. B574 (2000) 407-447

Physics

High Energy Physics

High Energy Physics - Phenomenology

42 pages, LaTeX, 12 figures; Eq. (152) is corrected

Scientific paper

10.1016/S0550-3213(00)00003-1

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.

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