The Kugo-Ojima Confinement Criterion from Dyson-Schwinger Equations

Abstract

Prerequisites of confinement in the covariant and local description of QCD are reviewed. In particular, the Kugo-Ojima confinement criterion, the positivity violations of transverse gluon and quark states, and the conditions necessary to avoid the decomposition property for colored clusters are discussed. In Landau gauge QCD, the Kugo-Ojima confinement criterion follows from the ghost Dyson-Schwinger equation if the corresponding Green's functions can be expanded in an asymptotic series. Furthermore, the infrared behaviour of the propagators in Landau gauge QCD as extracted from solutions to truncated Dyson-Schwinger equations and lattice simulations is discussed in the light of these issues.

arXiv comment8 pages, 5 figures; To be published in the proceedings of the Workshop on Dynamical aspects of the QCD phase transition, ECT* Trento, March 12 - 15, 2001. Typos corrected

Cited by in corpus (5)

• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• On the spectrum of the Faddeev-Popov operator in topological background fields
• Temperature Dependence of Gluon and Ghost Propagators in Landau-Gauge Yang-Mills Theory below the Phase Transition
• Non-perturbative Propagators, Running Coupling and Dynamical Mass Generation in Ghost-Antighost Symmetric Gauges in QCD
• The Kugo-Ojima confinement criterion and the Infrared Behavior of Landau gauge QCD