Reply to “Comment on ‘Lattice gluon and ghost propagators and the strong coupling in pure<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>Yang-Mills theory: Finite lattice spacing and volume effects’ ”

Duarte, Adelaide; Oliveira, Orlando; Silva, Paulo

doi:10.1103/physrevd.96.098502

Cited by 16 publications

(12 citation statements)

References 18 publications

(24 reference statements)

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“…The role played by the discretization artifacts, crucial for the extrapolation of results to the continuum limit and for the extraction of QCD parameters therefrom, was not fully understood from the analysis therein performed. Two following publications, a "Comment-to" [68] and its corresponding "Reply" [69], elaborated further on this issue, mainly in connection with the problem of the lattice scale setting, but failed to settle properly the question about continuum extrapolation.…”

Section: Introductionmentioning

confidence: 99%

Discretization effects on renormalized gauge-field Green’s functions, scale setting, and the gluon mass

et al. 2018

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The SU (3) gauge-field propagators computed from the lattice have been exhaustively used in the investigation of the low-momentum dynamics of QCD, in a judicious interplay with results from other nonperturbative approaches, and for the extraction of fundamental parameters of QCD like Λ MS as well. The impact of the discretization artifacts and their role in the extrapolation of the results to the continuum limit have not been fully understood so far. We report here about a very careful analysis of the physical scaling violation of the Landau-gauge propagators renormalized in MOM scheme and the Taylor coupling, steering us towards an insightful understanding of the effects from discretization artifacts which makes therefore possible a reliable continuum-limit extrapolation. PACS numbers: 12.38.Aw, 12.38.Lg I.

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Section: Introductionmentioning

confidence: 99%

Discretization effects on renormalized gauge-field Green’s functions, scale setting, and the gluon mass

et al. 2018

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“…All the above has been explicitly shown in [99,143,144], where a simple but effective remedy for correcting these deviations has been proposed: a scale resetting ā(β) = (1+δ)a(β)…”

Section: Discussionmentioning

confidence: 99%

Ghost dynamics in the soft gluon limit

Aguilar,

Ambrósio,

De Soto

et al. 2021

Preprint

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We present a detailed study of the dynamics associated with the ghost sector of quenched QCD in the Landau gauge, where the relevant dynamical equations are supplemented with key inputs originating from large-volume lattice simulations. In particular, we solve the coupled system of Schwinger-Dyson equations that governs the evolution of the ghost dressing function and the ghostgluon vertex, using as input for the gluon propagator lattice data that have been cured from volume and discretization artifacts. In addition, we explore the soft gluon limit of the same system, employing recent lattice data for the three-gluon vertex that enters in one of the diagrams defining the Schwinger-Dyson equation of the ghost-gluon vertex. The results obtained from the numerical treatment of these equations are in excellent agreement with lattice data for the ghost dressing function, once the latter have undergone the appropriate scale-setting and artifact elimination refinements. Moreover, the coincidence observed between the ghost-gluon vertex in general kinematics and in the soft gluon limit reveals an outstanding consistency of physical concepts and computational schemes.

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“…Continuum physics requires E(p 2 ) = − p 2 H(p 2 ) and, assuming that this condition holds, F (p 2 ) and G(p 2 ) can be measured using Eqs. (37). The continuum tensor structure of the propagator requires also that F (p 2 ) = H(p 2 ) and, in this case, the two quasi-independent measures of F and H can be used to test how well the continuum basis describes the lattice data.…”

Section: B Special Kinematical Configurationsmentioning

confidence: 99%

$H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts

Catumba,

Oliveira,

Silva

2021

Preprint

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The use of lattice tensor representations is explored to investigate the lattice Landau gauge gluon propagator for the pure SU(3) Yang-Mills gauge theory in 4D. The analysis of several tensor bases allows to quantify the completeness of the various tensor bases considered, the deviations of the lattice results from the continuum theory due to the lattice artefacts and estimate the theoretical uncertainty in the propagator. Furthermore, our analysis tests continuum based relations with the lattice data and show that the lattice Landau gauge gluon propagator is described by a unique form factor, as in the continuum formulation.

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Reply to “Comment on ‘Lattice gluon and ghost propagators and the strong coupling in pureSU(3)Yang-Mills theory: Finite lattice spacing and volume effects’ ”

Cited by 16 publications

References 18 publications

Discretization effects on renormalized gauge-field Green’s functions, scale setting, and the gluon mass

Discretization effects on renormalized gauge-field Green’s functions, scale setting, and the gluon mass

Ghost dynamics in the soft gluon limit

$H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts

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