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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

This PhD dissertation is devoted to a non-perturbative study of QCD correlators. The main tool that we use is lattice QCD. We concentrated our efforts on the study of the main correlators of the pure Yang - Mills theory in the Landau gauge,…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov

We summarize the higher-loop perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to compare with results from lattice simulations in order to expose the genuinely non-perturbative…

High Energy Physics - Lattice · Physics 2015-05-20 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

A solvable systematic truncation scheme for the Dyson-Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov-Taylor identities for the three-gluon and ghost-gluon vertices, whereas irreducible…

High Energy Physics - Phenomenology · Physics 2009-07-09 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

Effects of the quark field on the ghost propagator of the lattice Landau gauge are investigated by using the quenched gauge configuration of SU(2) first copy and the parallel tempering (PT) gauge fixed samples, quenched SU(3) $56^4$…

High Energy Physics - Lattice · Physics 2016-09-01 Sadataka Furui , Hideo Nakajima

The infrared properties of lattice Landau gauge QCD of SU(3) are studied by measuring gluon propagator, ghost propagator, QCD running coupling and Kugo-Ojima parameter of $\beta=6.0, 16^4,24^4,32^4$ and $\beta=6.4, 32^4,48^4$ lattices. We…

High Energy Physics - Lattice · Physics 2009-11-10 Hideo Nakajima , Sadataka Furui

The infrared properties of lattice Landau gauge QCD of SU(3) are studied by measuring gluon propagator, ghost propagator, QCD running coupling and Kugo-Ojima parameter of $\beta=6.0, 16^4,24^4,32^4$ and $\beta=6.4, 32^4, 48^4, 56^4$…

High Energy Physics - Lattice · Physics 2009-11-10 Hideo Nakajima , Sadataka Furui

We study the gluon and ghost propagators of lattice Landau gauge in the strong coupling limit $\beta = 0$ in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behaviour of these propagators as predicted by a variety…

High Energy Physics - Lattice · Physics 2010-01-21 Andre Sternbeck , Lorenz von Smekal

We present a numerical study of the running coupling constant and of the gluon and ghost propagators in minimal Landau gauge. Simulations are done in pure SU(2) lattice gauge theory for several values of beta and lattice sizes. We use two…

High Energy Physics - Lattice · Physics 2009-11-07 Jacques C. R. Bloch , Attilio Cucchieri , Kurt Langfeld , Tereza Mendes

Beyond the deep IR, the analysis of ghost and gluon propagators still keeps very interesting non-perturbative information. The Taylor-scheme coupling can be computed and applied to obtain the $\Lambda_{\rm QCD}$ parameter from Landau gauge…

High Energy Physics - Phenomenology · Physics 2010-05-07 J. Rodríguez-Quintero , Ph. Boucaud , F. De Soto , J. P. Leroy , A. le Yaouanc , J. Micheli , O. Pène

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

This is the second of two papers devoted to the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Such a computation should enable a comparison with results from lattice simulations in order to…

High Energy Physics - Lattice · Physics 2010-10-27 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

The compatibility of the pure power law infrared solution of QCD and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon propagator, the lattice data is well described by a pure power law with an…

High Energy Physics - Lattice · Physics 2009-08-05 O. Oliveira , P. J. Silva

We study the influence of Gribov copies on gluon and ghost propagators, evaluated numerically in pure SU(2) lattice gauge theory in the minimal Landau gauge. Simulations are done at four different values of $\beta$ (namely $\beta$ = 0, 0.8,…

High Energy Physics - Lattice · Physics 2009-10-30 Attilio Cucchieri

We report on the infrared limit of the quenched lattice Landau gauge gluon and ghost propagators as well as the strong coupling constant computed from large asymmetric lattices. The infrared lattice propagators are compared with the pure…

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

We summarise an analysis of the infrared regime of Landau gauge QCD by means of a flow equation approach. The infrared behaviour of gluon and ghost propagators is evaluated. The results provide further evidence for the Kugo-Ojima…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Pawlowski , D. F. Litim , S. Nedelko , L. von Smekal

We present an analytic description of numerical results for the ghost propagator G(p^2) in minimal Landau gauge on the lattice. The data were produced in the SU(2) case using the largest lattice volumes to date, for d = 2, 3 and 4…

High Energy Physics - Lattice · Physics 2016-06-01 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

The problem of color confinement in lattice Landau gauge QCD is briefly reviewed in the light of Kugo-Ojima criterion and Gribov-Zwanziger theory. The infrared properties of the Landau gauge QCD is studied by the measurement of the gluon…

High Energy Physics - Lattice · Physics 2017-08-23 Hideo Nakajima , Sadataka Furui

The colour confinement criterion proposed by Kugo and Ojima is tested in the lattice Landau gauge QCD simulation. The renormalization effects are studied by measuring the gluon propagator, ghost propagator, three gluon vertex and the…

High Energy Physics - Lattice · Physics 2007-05-23 Sadataka Furui , Hideo Nakajima

The Gluon and Ghost propagators in Landau gauge QCD are investigated using the Schwinger-Dyson equation approach. Working in Euclidean spacetime, we solve for these propagators using a selection of vertex inputs, initially for the ghost…

High Energy Physics - Phenomenology · Physics 2012-01-12 M. R. Pennington , D. J. Wilson