Renormalization of twist-three operators and integrable lattice models

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Abstract

We address the problem of solution of the QCD three-particle evolution equations which govern the Q2-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 g2 xBj ·. 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 s y 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. q 2000 Elsevier Science B.V. All rights reserved.

Original languageEnglish (US)
Pages (from-to)407-447
Number of pages41
JournalNuclear Physics B
Volume574
Issue number1-2
DOIs
StatePublished - May 15 2000

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Keywords

  • Evolution
  • Integrability
  • Spectrum of eigenvalues
  • Three-particle problem
  • Twist-three operators

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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