Solitons in high-energy QCD

Abstract

We study the asymptotic solutions of the Schrödinger equation for the color-singlet reggeon compound states in multi-color QCD. We show that in the leading order of asymptotic expansion, quasiclassical reggeon trajectories have a form of the soliton waves propagating on the 2-dimensional plane of transverse coordinates. Applying methods of the finite-gap theory we construct their explicit form in terms of Riemann theta-functions and examine their properties.

Comments: 26 pages, Latex style, 3 figures embedded with epsf.sty