Duality symmetry of Reggeon interactions in multicolour QCD

Abstract

The duality symmetry of the Hamiltonian and integrals of motion for Reggeon interactions in multicolour QCD is formulated as an integral equation for the wavefunction of compound states of n reggeized gluons. In particular the odderon problem in QCD is reduced to the solution of the one-dimensional Schrödinger equation. The odderon Hamiltonian is written in a normal form, which gives the possibility to express it as a function of its integrals of motion.