Ellipsoidal bound on the Gribov horizon contradicts the perturbative renormalization group

Gianfausto Dell'Antonio, Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    We show that the Gribov horizon is contained within a certain ellipsoid whose principal axes lie along Fourier coefficients of the connection A(x). This implies the bound on the Fourier transform g(k) of the gluon propagator (more generally, the two-point function of the connection) in D euclidean space-time dimensions, ∫dDk g(k)/k2 < constant. For D = 4, this bound is not compatible with the asymptotic behavior at large momentum predicted by the perturbative renormalization group.

    Original languageEnglish (US)
    Pages (from-to)333-350
    Number of pages18
    JournalNuclear Physics, Section B
    Volume326
    Issue number2
    DOIs
    StatePublished - Nov 6 1989

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    Euclidean geometry
    ellipsoids
    horizon
    momentum
    propagation
    coefficients

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Ellipsoidal bound on the Gribov horizon contradicts the perturbative renormalization group. / Dell'Antonio, Gianfausto; Zwanziger, Daniel.

    In: Nuclear Physics, Section B, Vol. 326, No. 2, 06.11.1989, p. 333-350.

    Research output: Contribution to journalArticle

    Dell'Antonio, Gianfausto ; Zwanziger, Daniel. / Ellipsoidal bound on the Gribov horizon contradicts the perturbative renormalization group. In: Nuclear Physics, Section B. 1989 ; Vol. 326, No. 2. pp. 333-350.
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