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The infrared behavior of QCD propagators in Landau gauge

2000/04/17 by Reinhard Alkofer, Lorenz von Smekal · 2 citations
Physics and Astronomy · #Color confinement #Gauge theory #Gluon #High-Energy Particle Collisions Research #Infrared fixed point #Massless particle #Mathematical physics #Particle physics #Physics #Physics of Superconductivity and Magnetism #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #Renormalization #hep-ph #hep-th

paper · pdf · doi:10.1016/s0375-9474(00)00402-4

published as Nucl.Phys. A680 (2000) 133-136 · 4 pages, no figures, talk given by R.A. at ``Quark Nuclear Physics 2000'', Adelaide, Feb. 21 - 25, 2000

arxiv created 2000/04/17 · openalex publication_date 2001/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Some features of the solutions to the truncated Dyson-Schwinger equations(DSEs) for the propagators of QCD in Landau gauge are summarized. In particular, the Kugo-Ojima confinement criterion is realized, and positivity of transverse gluons is manifestly violated in these solutions. In Landau gauge, the gluon-ghost vertex function offers a convenient possibility to define a nonperturbative running coupling. The infrared fixed point obtained from this coupling which determines the 2-point interactions of color-octet quark currents implies the existence of unphysical massless states which are necessary to escape the cluster decomposition of colored clusters. The gluon and ghost propagators, and the nonperturbative running coupling, are compared to recent lattice simulations. A significant deviation of the running coupling from the infrared behavior extracted in simulations of 3-point functions is attributed to an inconsistency of asymmetric subtraction schemes due to a consequence of the Kugo-Ojima criterion: infrared enhanced ghosts.

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