The Gribov problem and QCD dynamics

N. Vandersickel, Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    In 1967, Faddeev and Popov were able to quantize the Yang-Mills theory by introducing new particles called ghost through the introduction of a gauge. Ever since, this quantization has become a standard textbook item. Some years later, Gribov discovered that the gauge fixing was not complete, gauge copies called Gribov copies were still present and could affect the infrared region of quantities like the gauge dependent gluon and ghost propagator. This feature was often in the literature related to confinement. Some years later, the semi-classical approach of Gribov was generalized to all orders and the GZ action was born. Ever since, many related articles were published. This review tends to give a pedagogic review of the ideas of Gribov and the subsequent construction of the GZ action, including many other topics related to the Gribov region. It is shown how the GZ action can be viewed as a non-perturbative tool which has relations with other approaches toward confinement. Many different features related to the GZ action shall be discussed in detail, such as BRST breaking, the KO criterion, the propagators, etc. We shall also compare with the lattice data and other non-perturbative approaches, including stochastic quantization.

    Original languageEnglish (US)
    Pages (from-to)175-251
    Number of pages77
    JournalPhysics Report
    Volume520
    Issue number4
    DOIs
    StatePublished - Nov 2012

    Fingerprint

    quantum chromodynamics
    ghosts
    textbooks
    propagation
    Yang-Mills theory
    fixing

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Vandersickel, N., & Zwanziger, D. (2012). The Gribov problem and QCD dynamics. Physics Report, 520(4), 175-251. https://doi.org/10.1016/j.physrep.2012.07.003

    The Gribov problem and QCD dynamics. / Vandersickel, N.; Zwanziger, Daniel.

    In: Physics Report, Vol. 520, No. 4, 11.2012, p. 175-251.

    Research output: Contribution to journalArticle

    Vandersickel, N & Zwanziger, D 2012, 'The Gribov problem and QCD dynamics', Physics Report, vol. 520, no. 4, pp. 175-251. https://doi.org/10.1016/j.physrep.2012.07.003
    Vandersickel, N. ; Zwanziger, Daniel. / The Gribov problem and QCD dynamics. In: Physics Report. 2012 ; Vol. 520, No. 4. pp. 175-251.
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