Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions

Abstract

We present an analytic description of numerical results for the ghost propagator G(p^2) in minimal Landau gauge on the lattice. The data were produced in the SU(2) case using the largest lattice volumes to date, for d = 2, 3 and 4 space-time dimensions. Our proposed form for G(p^2) is derived from the one-loop relation between ghost and gluon propagators, considering a tree-level ghost-gluon vertex and our previously obtained gluon-propagator results \cite{Cucchieri:2011ig}. Although this one-loop expression is not a good description of the data, it leads to a one-parameter fit of our ghost-propagator data with a generally good value of χ^2/dof, comparable to other fitting forms used in the literature. At the same time, we present a simple parametrization of the difference between the lattice data and the one-loop predictions.

21 pages, 16 figures (23 plots), 1 table

References in corpus (23)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Infrared Properties of QCD from Dyson-Schwinger equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Pinch Technique: Theory and Applications
• Infrared propagators of Yang-Mills theory from perturbation theory
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• Gluon mass generation in the PT-BFM scheme
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• On the reduction of hypercubic lattice artifacts
• Infrared Gluon and Ghost Propagators
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
• The effects of Gribov copies in 2D gauge theories
• The Saga of Landau-Gauge Propagators: Gathering New Ammo
• On dynamical gluon mass generation

Cited by in corpus (24)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
• Correlation functions of Landau gauge Yang-Mills theory
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
• Landau gauge Yang-Mills propagators in the complex momentum plane
• On non-primitively divergent vertices of Yang-Mills theory
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• Constraining the gauge-fixed Lagrangian in minimal Landau gauge
• Reply to "Comment on 'Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects' "
• On a renormalizable class of gauge fixings for the gauge invariant operator $A_{\min }^2$
• Probing the singularities of the Landau-gauge gluon and ghost propagators with rational approximants
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• The analytic structure of three-point functions from contour deformations
• The lattice Landau gauge photon propagator for 4D compact QED
• The quenched SU(2) fundamental scalar propagator in minimal Landau gauge
• Dynamically massive linear covariant gauges: setup and first results
• Constrained gauge-gravity duality in three and four dimensions
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• The quenched SU(2) adjoint scalar propagator in minimal Landau gauge
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice
• Predicting Planck scale and Newtonian constant from a Yang-Mills gauge theory: 1 and 2-loops estimates