Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared

Bogolubsky, I.L.; Ilgenfritz, Ernst-Michael; Müller–Preussker, M.; Sternbeck, André

doi:10.1016/j.physletb.2009.04.076

Cited by 517 publications

(880 citation statements)

References 49 publications

(62 reference statements)

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“…Indeed, they are compatible within one standard deviation for q > 200 MeV and show a small difference for smaller momenta. For q < 200 MeV the propagator of [24] is about 10% smaller than the data in figure 2. As seen in figure 1, our simulations have a limited access to momenta below 200 MeV and, in this way, we expect that the impact of the finite volume effects on M 2 (q 2 ) computed from the combined data set is well below 10% factor.…”

Section: Definitions and Lattice Setupcontrasting

confidence: 54%

Running gluon mass from a Landau gauge lattice QCD propagator

Oliveira

Bicudo²

2011

J. Phys. G: Nucl. Part. Phys.

144

137

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Abstract. The interpretation of the Landau gauge lattice gluon propagator as a massive type bosonic propagator is investigated. Three different scenarios are discussed: i) an infrared constant gluon mass; ii) an ultraviolet constant gluon mass; iii) a momentum dependent mass. We find that the infrared data can be associated with a massive propagator up to momenta ∼ 500 MeV, with a constant gluon mass of 723(11) MeV, if one excludes the zero momentum gluon propagator from the analysis, or 648(7) MeV, if the zero momentum gluon propagator is included in the data sets. The ultraviolet lattice data is not compatible with a massive type propagator with a constant mass. The scenario of a momentum dependent gluon mass gives a decreasing mass with the momentum, which vanishes in the deep ultraviolet region. Furthermore, we show that the functional forms used to describe the decoupling like solution of the Dyson-Schwinger equations are compatible with the lattice data with similar mass scales.

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Section: Definitions and Lattice Setupcontrasting

confidence: 54%

Running gluon mass from a Landau gauge lattice QCD propagator

Oliveira

Bicudo²

2011

J. Phys. G: Nucl. Part. Phys.

144

137

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“…in [149,150,196,197]. We note here only that, fortunately, it turns out that the associated 'Gribov copies' [198] are only relevant for momenta below ∼ 100 MeV [199,200], so their impact upon the calculation of observable quantities is in practice very small compared to other sources of errors, see e.g. [201].…”

Section: Dyson-schwinger Equations (Dses)mentioning

confidence: 88%

“…The gluon propagator has been studied intensely in the past both on the lattice, with DSEs and the FRG due to its supposed connection with confinement of the non-Abelian gauge theory, see e.g. [200,216,227,[229][230][231][232][233][234][235][236] and references therein. Due to its much more complicated structure, the nonperturbative three-gluon vertex has only been begun to be explored in numerical simulations in recent years, see e.g.…”

Section: Munczek-nemirovsky Modelmentioning

confidence: 99%

Baryons as relativistic three-quark bound states

Eichmann

Sanchis-Alepuz

Williams

et al. 2016

Progress in Particle and Nuclear Physics

436

530

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We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial structural properties explored by the coupling to external (electromagnetic and other) currents. Both present many unsolved problems despite decades of experimental and theoretical research. We discuss the progress in these fields from a theoretical perspective, focusing on nonperturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We give a systematic overview as to how results are obtained in this framework and explain technical connections to lattice QCD. We also discuss the mutual relations to the quark model, which still serves as a reference to distinguish 'expected' from 'unexpected' physics. We confront recent results on the spectrum of non-strange and strange baryons, their form factors and the issues of two-photon processes and Compton scattering determined in the DysonSchwinger framework with those of lattice QCD and the available experimental data. The general aim is to identify the underlying physical mechanisms behind the plethora of observable phenomena in terms of the underlying quark and gluon degrees of freedom.

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“…Although there is some support for D(0)=0 [2,3], recent large volume lattice simulations, close to 20 fm, have claimed a finite non-vanishing gluon propagator at zero momentum [4,5]. In order to be able to simulate such large volumes, the reported simulations used a large lattice spacing ∼ 0.2 fm.…”

Section: The Gluon Propagator At Zero Temperaturementioning

confidence: 99%

“…For comparison purposes, we also show data obtained by the Berlin-Moscow-Adelaide collaboration [5]. Note that data in the same plot has the same lattice spacing, while varying the lattice volume.…”

Section: Lattice Effectsmentioning

confidence: 99%

The Landau gauge gluon propagator at zero and finite temperature: accounting for the combined finite lattice spacing and finite volume effects

Oliveira¹,

Silva²

2012

Proceedings of the 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012)

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In the past years a good comprehension of the infrared gluon propagator has been achieved, with a good qualitative agreement between lattice results and Dyson-Schwinger equations. However, lattice simulations have been performed at physical volumes which are close to 20 fm but using a large lattice spacing. The interplay between volume effects and lattice spacing effects has not been investigated. Here we aim to fill this gap and address how the two effects change the gluon propagator in the infrared region. Furthermore, we provide infinite volume extrapolations which take into account the finite volume and finite lattice spacing. We also report on preliminary results for the gluon propagator at finite temperature.

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Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared

Cited by 517 publications

References 49 publications

Running gluon mass from a Landau gauge lattice QCD propagator

Running gluon mass from a Landau gauge lattice QCD propagator

Baryons as relativistic three-quark bound states

The Landau gauge gluon propagator at zero and finite temperature: accounting for the combined finite lattice spacing and finite volume effects

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