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We discuss a non-perturbative lattice calculation of the ghost and gluon propagators in the pure Yang-Mills theory in Landau gauge. The ultraviolet behaviour is checked up to NNNLO yielding the value…

高能物理 - 格点 · 物理学 2007-05-23 A. Y. Lokhov , Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pène , J. Rodríguez-Quintero , C. Roiesnel

In this work we use two different but complementary approaches in order to study the ghost propagator of a pure SU(3) Yang-Mills theory quantized in the linear covariant gauges, focusing on its dependence on the gauge-fixing parameter $\xi$…

高能物理 - 唯象学 · 物理学 2015-04-16 A. C. Aguilar , D. Binosi , J. Papavassiliou

Gluon two- and three-point Green Functions computed in Landau gauge from the lattice show the existence of power corrections to the purely perturbative expressions, that can be explained through an Operator Product Expansion as the…

高能物理 - 唯象学 · 物理学 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , J. P. Leroy , A. Le Yaouanc , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

Recently it has been argued that infrared singularities of the quark-gluon vertex of Landau gauge QCD can confine static quarks via a linear potential. It is demonstrated that the same mechanism also may confine fundamental scalar fields.…

高能物理 - 唯象学 · 物理学 2015-05-20 Reinhard Alkofer , Leonard Fister , Axel Maas , Veronika Macher

We prove that the Faddeev-Popov ghost dressing function in the Yang-Mills theory is non-zero and finite in the limit of vanishing momenta and hence the ghost propagator behaves like free in the deep infrared regime, within the…

高能物理 - 理论 · 物理学 2010-04-21 Kei-Ichi Kondo

The lattice regularized pure gauge compact U(1) theory is an ideal laboratory to explore how confinement is realized as its phase diagram has a confined and a deconfined phase that depends on the value of the coupling constant, i.e. on…

高能物理 - 格点 · 物理学 2022-07-27 Lee C. Loveridge , Orlando Oliveira , Paulo J. Silva

We study the behavior of the gluon and ghost dressing functions in SU(3) Landau gauge at low momenta available on lattice sizes 12^4-32^4 at $\beta$=5.8, 6.0 and 6.2. We demonstrate the ghost dressing function to be systematically dependent…

高能物理 - 格点 · 物理学 2008-11-26 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller

We aim to offer a kind of unifying view on two popular topics in the studies of nonperturbative aspects of Yang-Mills theories in the Landau gauge: the so-called Gribov-Zwanziger approach and the Kugo-Ojima confinement criterion. Borrowing…

高能物理 - 理论 · 物理学 2009-07-09 D. Dudal , S. P. Sorella , N. Vandersickel , H. Verschelde

Recently it has been shown that infrared singularities of Landau gauge QCD can confine static quarks via a linearly rising potential. We show that the same mechanism can also provide a confining interaction between charged scalar fields in…

高能物理 - 理论 · 物理学 2010-05-07 Leonard Fister , Reinhard Alkofer , Kai Schwenzer

An introduction is given into current lattice investigations of the non-perturbative gluon and ghost propagators, in the light of the Gribov-Zwanziger and Kugo-Ojima scenarios of confinement, in the context of results obtained from the…

高能物理 - 唯象学 · 物理学 2007-09-04 E. -M. Ilgenfritz

We present a more detailed picture of the infrared regime of Landau gauge Yang-Mills theory. This is done within a novel framework that allows one to take into account the influence of finite scales within an infrared power counting…

高能物理 - 理论 · 物理学 2010-05-19 Reinhard Alkofer , Markus Q. Huber , Kai Schwenzer

The infrared behavior of gluon and ghost propagators in Yang-Mills gauge theories is of central importance for the understanding of confinement in QCD. While analytic studies using Schwinger-Dyson equations predict the same infrared…

高能物理 - 格点 · 物理学 2008-11-26 Attilio Cucchieri , Tereza Mendes. Orlando Oliveira , Paulo J. Silva

The quenched Landau gauge gluon propagator is investigated in lattice QCD with large assimetric lattices, accessing momenta as low as $q \sim 100$ MeV or smaller. Our investigation focus on the IR limit of the gluon dressing function,…

高能物理 - 格点 · 物理学 2009-11-10 O. Oliveira , P. J. Silva

We study the gluon propagator in the Landau gauge in SU(3) lattice QCD at $\beta$=5.7, 5.8 and 6.0 at the quenched level. The Euclidean Landau-gauge gluon propagator $D(r)\equiv D_{\mu\mu}^{aa}(x)/24$ is found to be well described by…

高能物理 - 格点 · 物理学 2011-03-31 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

A new gauge fixing that imposes the U(1) real and quaternion real condition on the correlator of domain wall fermion on the left wall and right wall is proposed. The method is applied to the calculation of the mass function, the QCD…

高能物理 - 格点 · 物理学 2010-11-05 Sadataka Furui

In the present work we discuss certain characteristic features encoded in some of the fundamental QCD Green's functions, whose origin can be traced back to the nonperturbative masslessness of the ghost field, in the Landau gauge.…

高能物理 - 唯象学 · 物理学 2014-04-23 A. C. Aguilar , D. Binosi , D. Ibañez , J. Papavassiliou

Infrared features of gluon propagator, ghost propagator, QCD running coupling and the Kugo-Ojima parameter in lattice Landau gauge QCD are presented. The framework of PMS analysis suggests that there appear infrared, intermediate and…

高能物理 - 格点 · 物理学 2009-11-10 Sadataka Furui , Hideo Nakajima

We use a gauge-invariant effective action defined in terms of the lattice Schroedinger functional to investigate vacuum dynamics and confinement in pure lattice gauge theories. After a brief introduction to the method, we report some…

高能物理 - 格点 · 物理学 2017-08-23 Paolo Cea , Leonardo Cosmai

The infrared behavior of Yang-Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson-Schwinger studies are discussed. These…

高能物理 - 唯象学 · 物理学 2009-11-11 Axel Maas

In this article we study in detail the prospects of determining the infrared finite QCD effective charge from a special kinematic limit of the vertex function corresponding to three background gluons. This particular Green's function…

高能物理 - 唯象学 · 物理学 2013-06-26 D. Binosi , D. Ibanez , J. Papavassiliou