QCD 4 from a five-dimensional point of view

Laurent Baulieu, Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    We propose a 5-dimensional definition for the physical 4D-Yang-Mills theory. The fifth dimension corresponds to the Monte Carlo time of numerical simulations of QCD4. The 5-dimensional theory is a well-defined topological quantum field theory that can be renormalized at any given finite order of perturbation theory. The relation to nonperturbative physics is obtained by expressing the theory on a lattice, a la Wilson. The new fields that must be introduced in the context of a topological Yang-Mills theory have a simple lattice expression. We present a 5-dimensional critical limit for physical correlation functions and for dynamical autocorrelations, which allows new Monte Carlo algorithm based on the time-step in lattice units given by ε=g0 -13/11 in pure gluodynamics. The gauge-fixing in five dimensions is such that no Gribov ambiguity occurs. The weight is strictly positive, because all ghost fields have parabolic propagators and yield trivial determinants. We indicate how our 5-dimensional description of the Yang-Mills theory may be extended to fermions.

    Original languageEnglish (US)
    Pages (from-to)604-640
    Number of pages37
    JournalNuclear Physics, Section B
    Volume581
    Issue number1-2
    StatePublished - Aug 14 2000

    Fingerprint

    Yang-Mills theory
    quantum chromodynamics
    ghosts
    determinants
    fixing
    ambiguity
    autocorrelation
    perturbation theory
    fermions
    physics
    propagation
    simulation

    Keywords

    • 11.10.Kk
    • 11.15.-q
    • 12.28.Aw

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Baulieu, L., & Zwanziger, D. (2000). QCD 4 from a five-dimensional point of view. Nuclear Physics, Section B, 581(1-2), 604-640.

    QCD 4 from a five-dimensional point of view. / Baulieu, Laurent; Zwanziger, Daniel.

    In: Nuclear Physics, Section B, Vol. 581, No. 1-2, 14.08.2000, p. 604-640.

    Research output: Contribution to journalArticle

    Baulieu, L & Zwanziger, D 2000, 'QCD 4 from a five-dimensional point of view', Nuclear Physics, Section B, vol. 581, no. 1-2, pp. 604-640.
    Baulieu L, Zwanziger D. QCD 4 from a five-dimensional point of view. Nuclear Physics, Section B. 2000 Aug 14;581(1-2):604-640.
    Baulieu, Laurent ; Zwanziger, Daniel. / QCD 4 from a five-dimensional point of view. In: Nuclear Physics, Section B. 2000 ; Vol. 581, No. 1-2. pp. 604-640.
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