The Gribov problem and QCD dynamics

By Nele Vandersickel, D. Zwanziger. 2012

247 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0565932704ed953840c405873e0caa11a77ea72b

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

The nonperturbative functional renormalization group and its applications (2020, unknown): “[657–659].”
Baryons as relativistic three-quark bound states (2016, background): “This investigation also further elucidates the role of the BRST symmetry of the gaugefixed theory for several types of confinement scenarios, see also the reviews [149, 150] and references therein.”
Nonperturbative properties of Yang–Mills theories (2018, unknown): “, [202–215].”
QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, methodology): “ copies [210,211]. As a result one arrives at an effective action which contains a new scale, the Gribov parameter, which affects the gluon dispersion relation and changes its infrared behaviour, see [183] for a review on the technical details. This approach was generalized to ﬁnite temperature in [”
The QCD running coupling (2016, background): “Thus, Kgt provides an additional term which removes the Gribov copy problem [245, 340].”