Covariant quantization of gauge fields without Gribov ambiguity

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    Recently Parisi and Wu proposed a method of quantizing gauge fields whereby euclidean expectation values are obtained by relaxation to equilibrium of a stochastic process depending on an artificial fifth time parameter. In the present work the equilibrium distribution is determined directly, without reference to the artificial time, by a stationary condition which is an eigenfunction equation in the euclidean Hilbert space. The solution has a perturbative expansion which appears renormalizable by naive power counting. Because of gauge freedom, a free dimensionless gauge parameter appears in the theory although no gauge condition such as ∂ · A = 0 is imposed.

    Original languageEnglish (US)
    Pages (from-to)259-269
    Number of pages11
    JournalNuclear Physics, Section B
    Volume192
    Issue number1
    DOIs
    StatePublished - Nov 23 1981

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    ambiguity
    stochastic processes
    Hilbert space
    counting
    eigenvectors
    expansion

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Covariant quantization of gauge fields without Gribov ambiguity. / Zwanziger, Daniel.

    In: Nuclear Physics, Section B, Vol. 192, No. 1, 23.11.1981, p. 259-269.

    Research output: Contribution to journalArticle

    Zwanziger, Daniel. / Covariant quantization of gauge fields without Gribov ambiguity. In: Nuclear Physics, Section B. 1981 ; Vol. 192, No. 1. pp. 259-269.
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