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.

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

References in corpus (5)

• Separation of Variables. New Trends.
• High energy QCD as a completely integrable model
• Bethe Ansatz for QCD Pomeron,
• Quasiclassical QCD Pomeron
• Integrable structures and duality in high-energy QCD

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• Spiky strings and single trace operators in gauge theories
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• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• Review of AdS/CFT Integrability, Chapter IV.4: Integrability in QCD and N<4 SYM
• Spiky Strings and Spin Chains
• High Energy QCD: Stringy Picture from Hidden Integrability
• Noncompact Heisenberg spin magnets from high-energy QCD: III. Quasiclassical approach
• A Spin Chain from String Theory
• Matrix Models, Complex Geometry and Integrable Systems. II
• Quadratic algebras and integrable chains
• Baryon wave functions in QCD and integrable models