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.

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

References in corpus (6)

• Baryon Distribution Amplitudes in QCD
• Fine structure of spectrum of twist-three operators in QCD
• Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
• Polarized Structure Functions in QCD
• High-energy scattering in gauge theories and integrable spin chains
• Diffraction driven steep rise of spin structure function $g_{LT}=g_1+g_2$ at small x and DIS sum rules

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