Zero-brane matrix mechanics, monopoles and membrane approach in QCD

Gregory Gabadadze, Zurab Kakushadze

    Research output: Contribution to journalArticle

    Abstract

    We conjecture that a T-dual form of pure QCD describes dynamics of point-like monopoles. T-duality transforms the QCD Lagrangian into a matrix quantum mechanics of zero-branes which we identify with monopoles. At generic points of the monopole moduli space, the SU(N) gauge group is broken down to U(1)(N-1) reproducing the key feature of 't Hooft's Abelian projection. There are certain points in the moduli space where monopole positions coincide, gauge symmetry is enhanced and gluons emerge as massless excitations. We show that there is a linearly rising potential between zero-branes. This indicates the presence of a stretched flux tube between monopoles. The lowest energy state is achieved when monopoles are sitting on top of each other and gauge symmetry is enhanced. In this case they behave as free massive particles and can be condensed. In fact, we find a constant eigenfunction of the corresponding Hamiltonian which describes condensation of monopoles. Using the monopole quantum mechanics, we argue that large-N QCD in this T-dual picture is a theory of a closed bosonic membrane propagating in five-dimensional space-time. QCD point-like monopoles can be regarded in this approach as constituents of the membrane.

    Original languageEnglish (US)
    Pages (from-to)293-308
    Number of pages16
    JournalModern Physics Letters A
    Volume15
    Issue number4
    DOIs
    StatePublished - Feb 10 2000

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    Monopole
    Branes
    monopoles
    Mechanics
    Membrane
    quantum chromodynamics
    membranes
    Zero
    matrices
    Gauge Symmetry
    Moduli Space
    Quantum Mechanics
    quantum mechanics
    Gauge Group
    gluons
    symmetry
    Condensation
    Eigenfunctions
    Lowest
    Tube

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Nuclear and High Energy Physics
    • Statistical and Nonlinear Physics

    Cite this

    Zero-brane matrix mechanics, monopoles and membrane approach in QCD. / Gabadadze, Gregory; Kakushadze, Zurab.

    In: Modern Physics Letters A, Vol. 15, No. 4, 10.02.2000, p. 293-308.

    Research output: Contribution to journalArticle

    Gabadadze, Gregory ; Kakushadze, Zurab. / Zero-brane matrix mechanics, monopoles and membrane approach in QCD. In: Modern Physics Letters A. 2000 ; Vol. 15, No. 4. pp. 293-308.
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