Modified instanton profile effects from lattice Green functions

Boucaud, Ph.; Soto, F. De; Yaouanc, A. Le; Leroy, J. P.; Micheli, J.; Pène, O.; Rodríguez-Quintero, J.

doi:10.1103/physrevd.70.114503

Cited by 35 publications

(22 citation statements)

References 42 publications

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“…Since matrix multiplication is not commutative, this is not a unique decomposition. Nonetheless, similar decompositions have been used in the past [26,27,30,31,33,34] to characterize the contents of the part of the configuration removed under smearing and/or other operations to isolate the topological content. Based on the assumption that smearing removes only the ultraviolet fluctuations, the corresponding propagators have usually been found to be approximately the perturbative or tree-level ones.…”

Section: Residual Configuration Resultsmentioning

confidence: 99%

“…Still, it would be significant progress to establish the details of this connection at least for one gauge. There have been a number of investigations contributing to this endeavor, in both Coulomb and Landau gauge [1,[26][27][28][29][30][31][32][33][34][35] 1 , with respect to different types of topological excitations. These investigations provided evidence that such a link indeed exists, and that the most characteristic low-momentum features of gluonic correlation functions are likely reflecting (or formed by, depending on perspective) topological excitations.…”

Section: Introductionmentioning

confidence: 99%

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Propagators and topology

Maas

2015

Eur. Phys. J. C

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Two popular perspectives on the non-perturbative domain of Yang–Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they are only two different representations of the same underlying physics. One possibility to investigate this connection is by the determination of gluon correlation functions in topological background fields, as created by the smearing of lattice configurations. This is performed here for the minimal Landau gauge gluon propagator, ghost propagator, and running coupling, both in momentum and position space for SU(2) Yang–Mills theory. The results show that the salient low-momentum features of the propagators are qualitatively retained under smearing at sufficiently small momenta, in agreement with an equivalence of both perspectives. However, the mid-momentum behavior is significantly affected. These results are also relevant for the construction of truncations in functional methods, as they provide hints on necessary properties to be retained in truncations.

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Section: Residual Configuration Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Propagators and topology

Maas

2015

Eur. Phys. J. C

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“…[19], with the help of the lattice gluon propagator estimate to be inserted in the integral in Eq. (27). It is known (cf.…”

Section: Collecting and Extrapolating Bare Ghost Lattice Datamentioning

confidence: 97%

“…The solutions appear to be dialed by the size of the coupling gðÃÞ in front of the integral in Eq. (27), the exceptional one resulting for a given critical value of the coupling. The same is found by the authors of Ref.…”

Section: Collecting and Extrapolating Bare Ghost Lattice Datamentioning

confidence: 98%

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Gribov’s horizon and the ghost dressing function

et al. 2009

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We study a relation recently derived by K. Kondo at zero momentum between the Zwanziger's horizon function, the ghost dressing function and Kugo's functions u and w. We agree with this result as far as bare quantities are considered. However, assuming the validity of the horizon gap equation, we argue that the solution wð0Þ ¼ 0 is not acceptable since it would lead to a vanishing renormalized ghost dressing function. On the contrary, when the cutoff goes to infinity, uð0Þ ! 1, wð0Þ ! À1 such that uð0Þ þ wð0Þ ! À1. Furthermore w and u are not multiplicatively renormalizable. Relaxing the gap equation allows wð0Þ ¼ 0 with uð0Þ ! À1. In both cases the bare ghost dressing function, Fð0; ÃÞ, goes logarithmically to infinity at infinite cutoff. We show that, although the lattice results provide bare results not so different from the Fð0; ÃÞ ¼ 3 solution, this is an accident due to the fact that the lattice cutoffs lie in the range 1-3 GeV À1 . We show that the renormalized ghost dressing function should be finite and nonzero at zero momentum and can be reliably estimated on the lattice up to powers of the lattice spacing; from published data on a 80 4 lattice at ¼ 5:7 we obtain F R ð0; ¼ 1:5 GeVÞ ' 2:2.

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Wilson expansion of QCD popagators at three loops: operators of dimension two and three

Chetyrkin

Maier

2010

J. High Energ. Phys.

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In this paper we construct the Wilson short distance operator product expansion for the gluon, quark and ghost propagators in QCD, including operators of dimension two and three, namely, A 2 , m 2 , m A 2 , ψ ψ and m 3 . We compute analytically the coefficient functions of these operators at three loops for all three propagators in the general covariant gauge. Our results, taken in the Landau gauge, should help to improve the accuracy of extracting the vacuum expectation values of these operators from lattice simulation of the QCD propagators.

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Modified instanton profile effects from lattice Green functions

Cited by 35 publications

References 42 publications

Propagators and topology

Propagators and topology

Gribov’s horizon and the ghost dressing function

Wilson expansion of QCD popagators at three loops: operators of dimension two and three

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