Non-perturbative modification of the Faddeev-Popov formula

Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review


    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 B
    Issue number5
    StatePublished - Aug 5 1982

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics


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