The low-momentum ghost dressing function and the gluon mass

Abstract

We study the low-momentum ghost propagator Dyson-Schwinger equation (DSE) in Landau gauge, assuming for the truncation a constant ghost-gluon vertex, as it is extensively done, and a simple model for a massive gluon propagator. Then, regular DSE solutions (the zero-momentum ghost dressing function not diverging) appear to emerge and we show the ghost propagator to be described by an asymptotic expression reliable up to the order $\mathcal{O}(q^2)$. That expression, depending on the gluon mass and the zero-momentum Taylor-scheme effective charge, is proven to fit pretty well the low-momentum ghost propagator obtained through big-volume lattice simulations.

11 pages, 1 fig.

References in corpus (27)

• 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
• 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
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Infrared propagators of Yang-Mills theory from perturbation theory
• Non-perturbative comparison of QCD effective charges
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• Gluon mass generation in the PT-BFM scheme
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
• Constructing non-perturbative gauges using correlation functions
• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Power-law running of the effective gluon mass
• Indirect determination of the Kugo-Ojima function from lattice data
• Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
• The Landau gauge gluon and ghost propagators in 4D SU(3) gluodynamics in large lattice volumes
• Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
• Gribov's horizon and the ghost dressing function
• Infrared behavior of the ghost propagator in the Landau gauge Yang-Mills theory
• On dynamical gluon mass generation
• Infrared finite effective charge of QCD
• Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon

Cited by in corpus (41)

• Explanation and Prediction of Observables using Continuum Strong QCD
• The QCD Running Coupling
• Interaction model for the gap equation
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Quark flavour effects on gluon and ghost propagators
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Essence of the vacuum quark condensate
• Nucleon and Roper electromagnetic elastic and transition form factors
• Chiral symmetry breaking with lattice propagators
• Spectrum of hadrons with strangeness
• On the massive gluon propagator, the PT-BFM scheme and the low-momentum behaviour of decoupling and scaling DSE solutions
• Unquenching the gluon propagator with Schwinger-Dyson equations
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• Quark Spectral Function and Deconfinement at Nonzero Temperature
• Elastic and transition form factors of the Δ(1232)
• Nucleon tensor charges and electric dipole moments
• Baryon and meson screening masses
• Renormalization group analysis of the gluon mass equation
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Scale-setting, flavour dependence and chiral symmetry restoration
• Features and flaws of a contact interaction treatment of the kaon
• On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem
• "Massive" Perturbative QCD, regular in the IR limit
• Dressed-quarks and the nucleon's axial charge
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• Rho-meson, Bethe-Salpeter equation, and the far infrared
• SU(2) lattice gluon propagators at finite temperatures in the deep infrared region and Gribov copy effects
• On the computation of the spectral density of two-point functions: complex masses, cut rules and beyond
• Practical scheme from QCD to phenomena via Dyson-Schwinger equations
• Zero mode in a strongly coupled quark gluon plasma
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Gluon mass through ghost synergy
• Electric dipole moment of the rho-meson
• Thermal properties of $\pi$ and $\rho$ meson
• A brief comment on the similarities of the IR solutions for the ghost propagator DSE in Landau and Coulomb gauges
• Confined gluon from Minkowski space continuation of PT-BFM SDE solution
• The Schwinger function, confinement and positivity violation in pure gauge QED
• A Universal Constraint on the Infrared Behavior of the Ghost Propagator in QCD
• Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the Wess-Zumino gauge in the presence of the local composite operators $A^2$ and $\bar{\lambda }\lambda$
• A Ghost Story: Ghosts and Gluons in the IR regime of QCD