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We investigate how the infrared behavior of electric and magnetic gluon propagators in Landau gauge is affected by temperature. More precisely, we perform large-lattice simulations in pure SU(2) gauge theory around the transition…

High Energy Physics - Lattice · Physics 2015-03-18 Attilio Cucchieri , Tereza Mendes

In the past years a good comprehension of the infrared gluon propagator has been achieved, with a good qualitative agreement between lattice results and Dyson-Schwinger equations. However, lattice simulations have been performed at physical…

High Energy Physics - Lattice · Physics 2012-10-31 O. Oliveira , P. J. Silva

We present clear evidence of strong effects of Gribov copies in Landau gauge gluon and ghost propagators computed on the lattice at small momenta by employing a new approach to Landau gauge fixing and a more effective numerical algorithm.…

High Energy Physics - Lattice · Physics 2017-08-23 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , V. K. Mitrjushkin

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…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Tereza Mendes. Orlando Oliveira , Paulo J. Silva

We review recent one and two loop MSbar Landau gauge calculations using the Gribov-Zwanziger Lagrangian. The behaviour of the gluon and Faddeev-Popov ghost propagators as well as the renormalization group invariant effective coupling…

High Energy Physics - Theory · Physics 2008-11-26 J. A. Gracey

The two point gluon and ghost correlation functions and the three gluon vertex are investigated, in the Landau gauge, using lattice simulations. For the two point functions, we discuss the approach to the continuum limit looking at the…

High Energy Physics - Lattice · Physics 2017-04-05 O. Oliveira , A. G. Duarte , D. Dudal , P. J. Silva

We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume…

High Energy Physics - Lattice · Physics 2009-10-31 J. P. Ma

We discuss the different methods to obtain reliable informations about the deep infra-red behaviour of the gluon and ghost Green functions in QCD. We argue that a clever combination of analytical inputs and numerical ones is necessary. We…

High Energy Physics - Phenomenology · Physics 2011-07-14 O. Pène , Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , J. Rodríguez-Quintero

In Landau gauge QCD the infrared behavior of the propagator of transverse gluons can be analytically determined to be a power law from Dyson-Schwinger equations. This propagator clearly shows positivity violation, indicating the absence of…

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

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

Nuclear Theory · Physics 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

We propose to investigate infrared properties of gluon and ghost propagators related to the so-called Gribov-Zwanziger confinement scenario, originally formulated for Landau and Coulomb gauges, for other gauges as well. We present results…

High Energy Physics - Lattice · Physics 2008-09-24 Tereza Mendes , Attilio Cucchieri , Axel Maas , Antonio Mihara

We investigate the infrared behaviour of the gluon propagator in Landau gauge on a lattice with twisted boundary conditions. Analytic calculations using Dyson-Schwinger equations, exact renormalization group and stochastic quantization show…

High Energy Physics - Lattice · Physics 2007-05-23 Torsten Tok , Kurt Langfeld , Hugo Reinhardt , Lorenz von Smekal

The results of Coulomb gauge and Landau gauge lattice QCD simulation do not agree completely with continuum theory. There are indications that the ghost propagator in the infrared region is not purely color diagonal as in high energy…

High Energy Physics - Lattice · Physics 2009-01-13 Sadataka Furui

The interplay between the finite volume and finite lattice spacing is investigated using lattice QCD simulations to compute the Landau gauge gluon propagator. Comparing several ensembles with different lattice spacings and physical volumes,…

High Energy Physics - Lattice · Physics 2018-02-01 Orlando Oliveira , Paulo J. Silva

We study the infrared behaviour of the pure Yang-Mills correlators using relations that are well defined in the non-perturbative domain. These are the Slavnov-Taylor identity for three-gluon vertex and the Schwinger-Dyson equation for ghost…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , A. Y. Lokhov , J. Micheli , O. Pene , J. Rodriguez-Quintero , C. Roiesnel

We address the problem of Gribov copies in lattice QCD. The gluon propagator is computed, in the Landau gauge, using 302 ($\beta = 5.8$) $12^4$ configurations gauge fixed to different copies. The results of the simulation shows that: i) the…

High Energy Physics - Lattice · Physics 2009-11-10 P. J. Silva , O. Oliveira

We examine the possibility that there may exist a logarithmic correction to the infrared asymptotic solution with power behavior which has recently been found for the gluon and Faddeev-Popov ghost propagators in the Landau gauge. We propose…

High Energy Physics - Theory · Physics 2010-04-05 Kei-Ichi Kondo

Approximate solutions for the gluon and ghost propagators as well as the running coupling in Landau gauge Yang-Mills theories are presented. These propagators obtained from the corresponding Dyson-Schwinger equations are in remarkable…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , C. S. Fischer , L. von Smekal

A comparative study of the lattice Landau gauge gluon and ghost propagators for SU(2) and SU(3) pure Yang-Mills theories is carried out. The data were specially produced with equivalent lattice parameters to allow for a careful comparison…

High Energy Physics - Lattice · Physics 2008-11-26 A. Cucchieri , T. Mendes , O. Oliveira , P. J. Silva

The dependence of the gluon and ghost propagator in pure SU(3) gauge theory on the choice of Gribov copies in Landau gauge is studied. Simulations were performed on several lattice sizes at $\beta$=5.8, 6.0 and 6.2. In the infrared region…

High Energy Physics - Lattice · Physics 2007-08-30 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller
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