Non-perturbative modification of the Faddeev-Popov formula

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    A stochastic argument shows that the Faddeev-Popov formula in the Landau gauge may be modified by insertion of a factor χ(A) which is zero if A has a Gribov copy of smaller norm, ∫ d4 x A2, and is one otherwise. This provides a probability distribution P(A) which is positive P(A) {slanted equal to or greater-than} 0 and Lorentz invariant. The resulting distribution is concentrated on points where ∂ · D(A) has no negative eigenvalues. It is suggested that tr ln[∂ · D(A)/∂2] acts like an entropy which may shift the system to a non-perturbative phase.

    Original languageEnglish (US)
    Pages (from-to)337-339
    Number of pages3
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Volume114
    Issue number5
    DOIs
    StatePublished - Aug 5 1982

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    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Non-perturbative modification of the Faddeev-Popov formula. / Zwanziger, Daniel.

    In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 114, No. 5, 05.08.1982, p. 337-339.

    Research output: Contribution to journalArticle

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