Three-gluon Green functions: low-momentum instanton dominance and zero-crossing

Rodríguez-Quintero, J.; Athenodorou, Andreas; Binosi, Daniele; Boucaud, Ph.; Soto, F. De; Papavassiliou, Joannis; Zafeiropoulos, Savvas

doi:10.1051/epjconf/201713703018

Cited by 4 publications

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“…A few recent papers [20][21][22] made an effort to investigate further a key feature of the 3-point gluon Green function, the appearence of a zero-crossing at very low IR momentum caused by a Figure 1. (color online) Lattice results for the renormalized connected form factor T R in the symmetric (left) and asymmetric (right) momentum configuration.…”

Section: Introductionmentioning

confidence: 99%

“…A few recent papers [20][21][22] made an effort to investigate further a key feature of the 3-point gluon Green function, the appearence of a zero-crossing at very low IR momentum caused by a Speaker, e-mail: jose.rodriguez@dfaie.uhu.es negative logarithmic singularity at zero-momentum, by both exploiting up-to-date lattice data and accomodating these results within an alternative DSE approach. We will briefly review here these few works.…”

Section: Introductionmentioning

confidence: 99%

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On the zero-crossing of the three-gluon Green’s function from lattice simulations

et al. 2018

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Abstract. We report on some efforts recently made in order to gain a better understanding of some IR properties of the 3-point gluon Green's function by exploiting results from large-volume quenched lattice simulations. These lattice results have been obtained by using both tree-level Symanzik and the standard Wilson action, in the aim of assessing the possible impact of effects presumably resulting from a particular choice for the discretization of the action. The main resulting feature is the existence of a negative logaritmic divergence at zero-momentum, which pulls the 3-gluon form factors down at low momenta and, consequently, yields a zero-crossing at a given deep IR momentum. The results can be correctly explained by analyzing the relevant Dyson-Schwinger equations and appropriate truncation schemes.

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Section: Introductionmentioning

confidence: 99%

“…A few recent papers [20][21][22] made an effort to investigate further a key feature of the 3-point gluon Green function, the appearence of a zero-crossing at very low IR momentum caused by a Speaker, e-mail: jose.rodriguez@dfaie.uhu.es negative logarithmic singularity at zero-momentum, by both exploiting up-to-date lattice data and accomodating these results within an alternative DSE approach. We will briefly review here these few works.…”

Section: Introductionmentioning

confidence: 99%

On the zero-crossing of the three-gluon Green’s function from lattice simulations

et al. 2018

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Practical scheme from QCD to phenomena via Dyson-Schwinger equations

2019

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We deliver a scheme to compute the quark propagator and the quark-gluon interaction vertex through the coupled Dyson-Schwinger equations (DSEs) of QCD. We take the three-gluon vertex into account in our calculations, and implement the gluon propagator and the running coupling function fitted by the solutions of their respective DSEs. We obtain the momentum and current mass dependence of the quark propagator and the quark-gluon vertex, and the chiral quark condensate which agrees with previous results excellently. We also compute the quark-photon vertex within this scheme and give the anomalous chromo-and electro-magnetic moment of quark. The obtained results are consistent with previous ones very well. These applications manifest that the scheme is realistic and then practical for explaining the QCD-related phenomena.

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Spontaneous chiral symmetry breaking in the massive Landau gauge: Realistic running coupling

et al. 2021

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Three-gluon Green functions: low-momentum instanton dominance and zero-crossing

Abstract: Abstract. We will report on a some efforts recently made in order to gain a better understanding of some IR properties of the 3-point gluon Green function by following both lattice and continuum QCD approaches.

Cited by 4 publications

References 42 publications

On the zero-crossing of the three-gluon Green’s function from lattice simulations

On the zero-crossing of the three-gluon Green’s function from lattice simulations

Practical scheme from QCD to phenomena via Dyson-Schwinger equations

Spontaneous chiral symmetry breaking in the massive Landau gauge: Realistic running coupling

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