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' "

Abstract

The quenched gluon and ghost propagator data published in [1] is reanalysed following the suggestion of [2] to resolve the differences between the infrared data of the simulations. Our results confirms that the procedure works well either for the gluon or for the ghost propagator but not for both propagators simultaneously as the observed deviations in the data follow opposite patterns. Definitive conclusions require improving the determination of the (ratios) of lattice spacings. A simple procedure for the relative calibration of the lattice spacing in lattice simulations is suggested.

arXiv commentGhost plots replaced. Conclusions unchanged

References in corpus (17)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
• Running Gluon Mass from Landau Gauge Lattice QCD Propagator
• Gribov copies, Lattice QCD and the gluon propagator
• Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Spectral properties of the Landau gauge Faddeev-Popov operator in lattice gluodynamics
• Infrared exponents and the strong-coupling limit in lattice Landau gauge
• Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Comment on "Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure $SU(3)$ Yang-Mills Theory: Finite Lattice Spacing and Volume Effects"
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit

Cited by in corpus (13)

• Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation vs. the Gribov-Zwanziger approach
• QCD Running Couplings and Effective Charges
• Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
• Ghost dynamics in the soft gluon limit
• Instanton liquid properties from lattice QCD
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• Schwinger-Dyson truncations in the all-soft limit: a case study
• Finite Temperature Landau Gauge Lattice Quark Propagator
• A window on infrared QCD with small expansion parameters
• Parton distribution and fragmentation functions with massive gluons