Solitons in high-energy QCD

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/S0550-3213(97)00487-2

We study the asymptotic solutions of the Schr\"odinger 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.

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