Ghost dissection

Dudal, David; Vandersickel, Nele; Cucchieri, Attilio; Mendes, Tereza

doi:10.22323/1.136.0015

Cited by 5 publications

(6 citation statements)

References 29 publications

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“…As a consequence, in d = 2, the Gribov-Zwanziger action does not suffer from refinement, generating a scaling type gluon propagator. These results are in good qualitative agreement with recent lattice numerical simulations [53,58].…”

Section: Introductionsupporting

confidence: 91%

Non-perturbative BRST quantization of Euclidean Yang–Mills theories in Curci–Ferrari gauges

2016

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In this paper we address the issue of the non-perturbative quantization of Euclidean Yang-Mills theories in the Curci-Ferrari gauge. In particular, we construct a Refined Gribov-Zwanziger action for this gauge which takes into account the presence of gauge copies as well as the dynamical formation of dimension two condensates. This action enjoys a nonperturbative BRST symmetry recently proposed in [1]. Finally, we give attention to the gluon propagator in different space-time dimensions.A fundamental task in theoretical physics is the understanding of non-perturbative aspects of Yang-Mills theories due to the confinement of quarks and gluons, see [2] for a general and updated overview. In this regime, the standard well developed perturbation theory is not meaningful and different techniques must be invoked. So far, we have a good toolbox to access the strongly coupled regime with different approaches as lattice simulations, Dyson-Schwinger equations, functional renormalization group methods, holographic techniques, effective models and others, see [2,3]. Despite the impressive progress achieved in the last decade, it seems fair to state that many aspects of the confinement are still to be unraveled.A long standing problem in the quantization of Yang-Mills theories is the presence of Gribov/gauge copies after the imposition of the gauge fixing condition * [4]. Within the Faddeev-Popov quantization procedure, these spurious configurations are still being taken into account in * aduarte@if.uff.br †

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Section: Introductionsupporting

confidence: 91%

Non-perturbative BRST quantization of Euclidean Yang–Mills theories in Curci–Ferrari gauges

2016

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“…In particular, this implies that, for d = 3, 4, the gluon propagator is of decoupling type, while in d = 2, it is of scaling type [45]. Remarkably, this phenomenon was observed by recent lattice numerical simulationsn [21,46]. It is worth mentioning that, considering the Gribov-Zwanziger action as an effective action with an energy scale ultraviolet cutoff, it is possible to show that, at the strong coupling, the refinement is also favored in d > 4, [47].…”

Section: The Gribov Problem In the Landau Gaugementioning

confidence: 66%

A non-perturbative study of matter field propagators in Euclidean Yang–Mills theory in linear covariant, Curci–Ferrari and maximal Abelian gauges

et al. 2017

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In this work, we study the propagators of matter fields within the framework of the refined GribovZwanziger theory, which takes into account the effects of the Gribov copies in the gauge-fixing quantization procedure of Yang-Mills theory. In full analogy with the pure gluon sector of the refined Gribov-Zwanziger action, a non-local long-range term in the inverse of the FaddeevPopov operator is added in the matter sector.

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“…Particularly successful in this effort has been the continuous interplay between lattice simulations and Schwinger-Dyson equations (SDEs) [29][30][31][32][33][34], which has led to a firmer grasp on the infrared (IR) behavior of the fundamental Green's functions of QCD, such as gluon, ghost, and quark propagators, as well as some of the basic vertices of the theory, for special kinematic configurations [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Unquenching the gluon propagator with Schwinger-Dyson equations

2012

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In this article we use the Schwinger-Dyson equations to compute the nonperturbative modifications caused to the infrared finite gluon propagator (in the Landau gauge) by the inclusion of a small number of quark families. Our basic operating assumption is that the main bulk of the effect stems from the "one-loop dressed" quark loop contributing to the full gluon self-energy. This quark loop is then calculated, using as basic ingredients the full quark propagator and quark-gluon vertex; for the quark propagator we use the solution obtained from the quark gap equation, while for the vertex we employ suitable Ansätze, which guarantee the transversality of the answer. The resulting effect is included as a correction to the quenched gluon propagator, obtained in recent lattice simulations. Our main finding is that the unquenched propagator displays a considerable suppression in the intermediate momentum region, which becomes more pronounced as we increase the number of active quark families. The influence of the quarks on the saturation point of the propagator cannot be reliably computed within the present scheme; the general tendency appears to be to decrease it, suggesting a corresponding increase in the effective gluon mass. The renormalization properties of our results, and the uncertainties induced by the unspecified transverse part of the quark-gluon vertex, are discussed. Finally, the dressing function of the gluon propagator is compared with the available unquenched lattice data, showing rather good agreement.

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Ghost dissection

Cited by 5 publications

References 29 publications

Non-perturbative BRST quantization of Euclidean Yang–Mills theories in Curci–Ferrari gauges

Non-perturbative BRST quantization of Euclidean Yang–Mills theories in Curci–Ferrari gauges

A non-perturbative study of matter field propagators in Euclidean Yang–Mills theory in linear covariant, Curci–Ferrari and maximal Abelian gauges

Unquenching the gluon propagator with Schwinger-Dyson equations

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