Towards a theory of the QCD string

Sergei Dubovsky, Victor Gorbenko

    Research output: Contribution to journalArticlepeer-review


    Abstract: We construct a new model of four-dimensional relativistic strings with integrable dynamics on the worldsheet. In addition to translational modes this model contains a single massless pseudoscalar worldsheet field — the worldsheet axion. The axion couples to a topological density which counts the self-intersection number of a string. The corresponding coupling is fixed by integrability to (Formula presented.). We argue that this model is a member of a larger family of relativistic non-critical integrable string models. This family includes and extends conventional non-critical strings described by the linear dilaton CFT. Intriguingly, recent lattice data in SU(3) and SU(5) gluodynamics reveals the presence of a massive pseudoscalar axion on the worldsheet of confining flux tubes. The value of the corresponding coupling, as determined from the lattice data, is equal to QL ≈ 0.38 ± 0.04.

    Original languageEnglish (US)
    Article number22
    Pages (from-to)1-30
    Number of pages30
    JournalJournal of High Energy Physics
    Issue number2
    StatePublished - Feb 1 2016


    • Bosonic Strings
    • Integrable Field Theories
    • Long strings
    • QCD

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics


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