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Related papers: The Gluon Propagator

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Recent lattice data have reported an infrared suppressed, positivity violating gluon propagator which is nonvanishing at zero momentum and a ghost propagator which is no longer enhanced. This paper discusses how to obtain analytical results…

High Energy Physics - Theory · Physics 2008-11-26 David Dudal , John Gracey , Silvio Paolo Sorella , Nele Vandersickel , Henri Verschelde

In a recent work we described the form taken by the Minkowski-space gluon propagator in the presence of an A^2 condensate. This condensate has been seen to play an important role in calculations which make use of the operator product…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Li C. M. Shakin

The implementation of the linear covariant gauge on the lattice faces a conceptual problem: using the standard compact discretization, the gluon field is bounded, while the four-divergence of the gluon field satisfies a Gaussian…

High Energy Physics - Lattice · Physics 2011-02-28 Attilio Cucchieri , Tereza Mendes , Gilberto M. Nakamura , Elton M. S. Santos

We investigate the gluon, ghost and quark propagators in the Landau gauge with dynamic quarks. We perform a one-loop calculation in a model where the standard Faddeev-Popov Lagrangian is complemented by a mass term for the gluons which is…

High Energy Physics - Theory · Physics 2016-08-08 Marcela Peláez , Matthieu Tissier , Nicolás Wschebor

We address the interpretation of the Landau gauge gluon propagator at finite temperature as a massive type bosonic propagator. Using pure gauge SU(3) lattice simulations at a fixed lattice volume $\sim(6.5fm)^3$, we compute the electric and…

High Energy Physics - Lattice · Physics 2014-04-23 P. J. Silva , O. Oliveira , P. Bicudo , N. Cardoso

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…

High Energy Physics - Phenomenology · Physics 2007-09-04 E. -M. Ilgenfritz

We present data for the gluon and quark propagators computed in the standard lattice Landau's gauge and for three values of the covariant gauge-fixing parameter lambda=0,8,16. Our results are obtained using the SU(3) Wilson action in the…

High Energy Physics - Lattice · Physics 2015-06-25 L. Giusti , M. L. Paciello , S. Petrarca , B. Taglienti , N. Tantalo

The running coupling constant can be estimated by computing gluon two- and three-point Green functions from the lattice. Computing in lattice implies working in a fixed gauge sector (Landau). An source of systematic uncertainty is then the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , A. Le Yaouanc , J. P. Leroy , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

We reinvestigate the problem of Gribov ambiguities within the Landau (or Lorentz) gauge for the ghost and gluon propagators in pure SU(2) lattice gauge theory. We make use of the full symmetry group of the action taking into account {\it…

High Energy Physics - Lattice · Physics 2009-11-11 I. L. Bogolubsky , G. Burgio , V. K. Mitrjushkin , M. Mueller-Preussker

We investigate different aspects of lattice QCD in Landau gauge using Monte Carlo simulations. In particular, we focus on the low momentum behavior of gluon and ghost propagators. The gauge group is SU(3). Different systematic effects on…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Sternbeck

We explore the analytic structure of the gluon and quark propagators of Landau gauge QCD from numerical solutions of the coupled system of renormalized Dyson--Schwinger equations and from fits to lattice data. We find sizable negative norm…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , W. Detmold , C. S. Fischer , P. Maris

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…

High Energy Physics - Lattice · Physics 2011-03-31 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

We analyze data from finite-temperature simulations of the gluon propagator in SU(2) Landau gauge on large lattices. We argue that the singular behavior of this quantity around the deconfinement transition, seen in several previous studies,…

High Energy Physics - Lattice · Physics 2014-01-28 Tereza Mendes , Attilio Cucchieri

The quenched gluon and ghost propagator data published in [1] is reanalysed following the suggestion of [2] to resolve the differences between the infrared data of the simulations. Our results confirms that the procedure works well either…

High Energy Physics - Lattice · Physics 2017-11-29 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva

Lattice simulations of the QCD correlation functions in the Landau gauge have established two remarkable facts. First, the coupling constant in the gauge sector remains finite and moderate at all scales, suggesting that some kind of…

High Energy Physics - Theory · Physics 2021-12-22 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

Both lattice simulations and theoretical studies show that the spectral function of the gluon propagator of QCD (in various gauges, as well as for the gauge-invariant Pinch Technique, or PT, propagator) is not non-negative everywhere,…

High Energy Physics - Phenomenology · Physics 2013-11-28 John M. Cornwall

We discuss a new lattice implementation of the linear covariant gauge, recently introduced in [1]. In particular, we present details of the numerical procedure for fixing the gauge. We also report on preliminary results for the transverse…

High Energy Physics - Lattice · Physics 2011-07-14 Attilio Cucchieri , Tereza Mendes , Elton M. da S. Santos

The gluon propagator in Landau gauge is calculated on the lattice for SU(2) gauge theory. In particular the manifestation of confinement in the gluon propagator is studied. Removing the confining center vortices from the Yang-Mills ensemble…

High Energy Physics - Lattice · Physics 2015-06-25 K. Langfeld , H. Reinhardt , J. Gattnar

We investigate gluon propagators and the effective mass of the gluon fields in the MA gauge with U(1)$_3 \times$ U(1)$_8$ Landau gauge fixing in SU(3) lattice QCD. The Monte Carlo simulation is performed on $16^4$ at $\beta$=5.7, 5.8 and…

High Energy Physics - Lattice · Physics 2013-01-15 Shinya Gongyo , Hideo Suganuma , Takumi Iritani

By means of Numerical Stochastic Perturbation Theory (NSPT), we calculate the lattice gluon propagator up to three loops of perturbation theory in the limits of infinite volume and vanishing lattice spacing. Based on known anomalous…

High Energy Physics - Lattice · Physics 2012-02-15 C. Torrero , F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller