Infrared exponent for gluon and ghost propagation in Landau gauge QCD

By C. Lerche, Lorenz von Smekal Universitaet Erlangen-Nuernberg, Instituto de Fisica Corpuscular, Valencia. 2002

236 citations recorded by the source corpus.

In gauge theories without Higgs mechanism, particles carrying the global charges of the gauge group cannot strictly be localized. Localized physical states are necessarily neutral in QED and colorless in QCD. The extension to all gauge invariant and thus physical states is possible only with a mass gap in the physical world. Then, color-electric charge superselection sectors do not arise in QCD and one concludes confinement. The necessary conditions for this were formulated more than twenty years ago. In the next subsection we briefly recall these conditions, and how they constrain the infrared behavior of ghost and gluon propagators in Landau gauge QCD. Based on linear-covariant gauges, their derivation may not fully be divorced from perturbation theory. Their essence is quite generic and summarized in the Kugo-Ojima criterion which should apply in one way or another, whenever some form of BRS cohomology construction does for gauge theories. One way towards a non-perturbative definition of the Landau gauge is provided via stochastic quantization for which the full 5-dimensional BRS machinery is in the garage. The time-independent diffusion equation of this formulation is closely related to the Dyson-Schwinger equations (DSEs) in 4 dimensions as we describe next. Some of the necessary extensions, which have already been implemented in previous DSE studies of infrared exponents for other reasons, imply the Kugo-Ojima criterion. We summarize these studies, and how they are confirmed qualitatively in this way, at the end of the introduction. In Sec. II, we set up the DSE structures relevant for our present study. We summarize general properties

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/73d2f7c49906e9ddf833b459bf52aa1823b04a82

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Citations in the corpus

Nonperturbative Faddeev-Popov formula and the infrared limit of QCD (2003, background): “Recent solutions of the truncated coupled DS equations for the gluon and ghost propagators yield ghost propagators that are enhanced in the infrared, and gluon propagators that are infrared suppressed [17], [18], [19], [20], [21], [22], [23], and [3].”
QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, background): “In the small momentum regime, p 100 MeV, the DSEs can be solved analytically and exact solutions without any truncations are possible [196, 197, 262, 309, 310].”
The QCD running coupling (2016, methodology): “595, using the SDE [243, 245, 249] or the functional renormalization group method [257, 258].”