Infrared Properties of QCD from Dyson-Schwinger equations

Abstract

I review recent results on the infrared properties of QCD from Dyson-Schwinger equations. The topics include infrared exponents of one-particle irreducible Green's functions, the fixed point behaviour of the running coupling at zero momentum, the pattern of dynamical quark mass generation and properties of light mesons.

47 pages, 19 figures, Topical Review to be published in J.Phys.G, v2: typos corrected and some references added

References in corpus (2)

• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• The massive analytic invariant charge in QCD

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• Three-point vertices in Landau-gauge Yang-Mills theory
• Abelian anomaly and neutral pion production
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• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
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• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
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• Determination of the effective strong coupling constant alpha_{s,g_1}(Q^2) from CLAS spin structure function data
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Hadronic unquenching effects in the quark propagator
• Beyond the rainbow: effects from pion back-coupling
• Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• Infrared Gluon and Ghost Propagators
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Quark Confinement: The Hard Problem of Hadron Physics
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
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• Delta and Omega electromagnetic form factors in a Dyson-Schwinger/Bethe-Salpeter approach
• U_A(1) anomaly and eta' mass from an infrared singular quark-gluon vertex
• The running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
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• A covariant study of tensor mesons
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• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Accessing directly the properties of fundamental scalars in the confinement and Higgs phase
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• Width of the QCD transition in a Polyakov-loop DSE model
• Rho-meson, Bethe-Salpeter equation, and the far infrared
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• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Color-spin locking in a self-consistent Dyson-Schwinger approach
• Progress in nonequilibrium quantum field theory III
• On the Infrared Behavior of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar Field
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• Infrared Gluon and Ghost Propagator Exponents From Lattice QCD
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• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Quarks in Coulomb gauge perturbation theory
• A fresh look at hadronic light-by-light scattering in the muon g-2 with the Dyson-Schwinger approach
• What Does Low Energy Physics Tell Us About The Zero Momentum Gluon Propagator
• Linear Covariant Gauges on the Lattice
• Non-perturbative momentum dependence of the coupling constant and hadronic models
• Higher order heavy quark Green's functions in Coulomb gauge
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• Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations
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• Infrared Gluon and Ghost Propagators from Lattice QCD. Results from large asymmetric lattices
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• Aspects of quark mass generation on a torus
• What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement
• Nonperturbative screening of the Landau pole
• Quantum-classical interactions through the path integral
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• Green's Functions and Topological Configurations
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• Non-perturbative aspects of Yang-Mills theories
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• A Numerical Approach to Coulomb Gauge QCD
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