QCD instantons and the soft pomeron

Dmitri Kharzeev*, Yuri V. Kovchegov, Eugene Levin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

71 Scopus citations


We study the rôle of semiclassical QCD vacuum solutions in high-energy scattering by considering the instanton contribution to hadronic cross sections. We propose a new type of instanton-induced interactions ("instanton ladder") that leads to the rising with energy cross section σ~sΔ of Regge type (the pomeron). We argue that this interaction may be responsible for the structure of the soft pomeron. The intercept Δ>0 is calculated. It has a nonanalytic dependence on the strong coupling constant, allowing a nonsingular continuation into the nonperturbative region. We derive the pomeron trajectory, which appears to be approximately linear in some range of (negative) momentum transfer t, but exhibits a curvature at small t. Possible rôle of instantons in multiparticle production is also discussed.

Original languageEnglish
Pages (from-to)621-646
Number of pages26
JournalNuclear Physics A
Issue number4
StatePublished - 30 Jul 2001


FundersFunder number
Israeli Academy of Science and Humanities
Israeli Science Foundation
Bloom's Syndrome Foundation9800276


    • 12.38.-t
    • 12.38.Lg
    • 12.40.Nn
    • High-energy scattering
    • Instanton
    • Nonperturbative QCD
    • Pomeron
    • Pomeron trajectory
    • QCD vacuum


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