The Gluon Propagator

Abstract

We discuss the current state of what is known non-perturbatively about the gluon propagator in QCD, with emphasis on the information coming from lattice simulations. We review the specification of the lattice Landau gauge and the procedure for calculating the gluon propagator on the lattice. We also discuss some of the difficulties in non-perturbative calculations, especially Gribov copy issues. We trace the evolution of lattice simulations over the past dozen years, emphasizing how the improvement in computations has led not only to more precise determinations of the propagator, but has allowed more detailed information about it to be extracted.

Talk given at the Dick Slansky Memorial Symposium, Los Alamos, May, 1998; 14 pages, postscript only

Cited by in corpus (47)

• Infrared Properties of QCD from Dyson-Schwinger equations
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
• The QCD Running Coupling
• Analytic properties of the Landau gauge gluon and quark propagators
• Non-perturbative Faddeev-Popov formula and infrared limit of QCD
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Aspects of Hadron Physics
• The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories
• Mesons in a Poincare Covariant Bethe-Salpeter Approach
• Positivity violation for the lattice Landau gluon propagator
• Propagators and running coupling from SU(2) lattice gauge theory
• Problems in Lattice Gauge Fixing
• Asymptotic scaling of the gluon propagtor on the lattice
• SU(2) Landau gluon propagator on a 140^3 lattice
• Verifying the Kugo-Ojima Confinement Criterion in Landau Gauge Yang-Mills Theory
• A covariant constituent quark/gluon model for the glueball-quarkonia content of scalar-isoscalar mesons
• The Gluon Propagator without lattice Gribov copies
• Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
• Positivity violations in QCD
• Calibration of Smearing and Cooling Algorithms in SU(3)-Color Gauge Theory
• Asymptotic behavior of the ghost propagator in SU3 lattice gauge theory
• The generalised infrared structure of the gluon propagator
• On practical problems to compute the ghost propagator in SU(2) lattice gauge theory
• Analytic structure of the gluon and quark propagators in Landau gauge QCD
• Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory
• Infrared Gluon Propagator from lattice QCD: results from large asymmetric lattices
• Infrared behavior of gluon and ghost propagators from asymmetric lattices
• Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
• The pseudoscalar glueball in a chiral Lagrangian model with instanton effect
• Instantaneous Interquark Potential in Generalized Landau Gauge in SU(3) Lattice QCD: A Linkage between the Landau and the Coulomb Gauges
• Dyson-Schwinger equation constraints on the gluon propagator in BRST quantised QCD
• Instantaneous interquark potential in generalized Landau gauge in SU(3) lattice QCD: a possible gauge for the quark potential model
• Possible $D^{(\ast )}{\bar{D}}^{(\ast )}$ and $B^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states in the extended constituent quark models
• Determination of the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in the covariant gauge QCD
• Lattice Gauge Fixing and the Violation of Spectral Positivity
• Lattice Gluon Propagator in the Landau Gauge: A Study Using Anisotropic Lattices
• Results on the Gluon Propagator in Lattice Covariant Gauges
• Upper Limits on a Possible Gluon Mass
• Non-perturbative gluons in diffractive photo-production of J/Psi
• Lattice Gauge Fixing as Quenching and the Violation of Spectral Positivity
• Meson Form Factors and Non-Perturbative Gluon Propagators
• 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
• How to calculate the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in the axial gauge QCD
• SU(2) gluon propagator on a coarse anisotropic lattice
• Color-magnetic correlations in SU(2) and SU(3) lattice QCD
• Structure of the Yang-Mills vacuum in the zero modes enhancement quantum model