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We present recent results for the Landau-gauge gluon and ghost propagators in SU(3) lattice gluodynamics obtained on a sequence of lattices with linear extension ranging from L=64 to L=96 at $\beta = 5.70$, thus reaching "deep infrared"…

高能物理 - 格点 · 物理学 2009-05-18 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

We study the flavorless gluon propagator in the Landau gauge from high statistics lattice calculations. Hypercubic artifacts are efficiently eliminated by taking the $\sum p_\mu^4 \to 0$ limit. The propagator is fitted to the three-loops…

高能物理 - 唯象学 · 物理学 2010-03-19 D. Becirevic , Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pene , J. Rodriguez-Quintero , C. Roiesnel

We study an approximate version of the Schwinger-Dyson equation that controls the nonperturbative behavior of the ghost-gluon vertex, in the Landau gauge. In particular, we focus on the form factor that enters in the dynamical equation for…

高能物理 - 唯象学 · 物理学 2013-08-16 A. C. Aguilar , D. Ibáñez , J. Papavassiliou

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…

高能物理 - 理论 · 物理学 2016-08-08 Marcela Peláez , Matthieu Tissier , Nicolás Wschebor

The low momentum behavior of the Landau gauge Gribov-Zwanziger action is investigated using the respective Dyson-Schwinger equations. Because of the mixing of the gluon and the auxiliary fields four scenarios can be distinguished for the…

高能物理 - 理论 · 物理学 2010-04-06 Markus Q. Huber , Reinhard Alkofer , Silvio P. Sorella

We discuss the properties of ghost and gluon propagators in Landau gauge Yang-Mills theory and their relation to the confinement problem. In general two types of infrared behavior of these functions are allowed from their functional…

高能物理 - 唯象学 · 物理学 2009-06-25 Christian S. Fischer , Axel Maas , Jan M. Pawlowski

Lattice studies of the infrared behavior of gluon and ghost propagators are a key probe of confinement scenarios in Yang-Mills theories. However, finite-volume effects become an important issue as the infrared limit is approached. By…

高能物理 - 格点 · 物理学 2009-06-25 Attilio Cucchieri , Tereza Mendes

Recent numerical studies of the gluon propagator in the minimal Landau and Coulomb gauges in space-time dimension 2, 3, and 4 pose a challenge to the Gribov confinement scenario. We prove, without approximation, that for these gauges, the…

高能物理 - 唯象学 · 物理学 2013-05-01 Daniel Zwanziger

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…

高能物理 - 格点 · 物理学 2007-05-23 Andre Sternbeck

We present recent results of the Landau gauge gluon and ghost propagators in SU(3) pure gauge theory at Wilson \beta=5.7 for lattice sizes up to 80^4 corresponding to physical volumes up to (13.2 fm)^4. In particular, we focus on…

高能物理 - 格点 · 物理学 2009-04-14 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

The non-perturbative gluon and ghost propagators in Landau gauge QCD are obtained using the Schwinger-Dyson equation approach. The propagator equations are solved in Euclidean space using Landau gauge with a range of vertex inputs.…

高能物理 - 唯象学 · 物理学 2015-03-19 D. J. Wilson , M. R. Pennington

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…

高能物理 - 格点 · 物理学 2011-02-28 Attilio Cucchieri , Tereza Mendes , Gilberto M. Nakamura , Elton M. S. Santos

We study the gluon propagator $D_{\mu\nu}^{ab}(x)$ in the Landau gauge in SU(3) lattice QCD at $\beta$ = 5.7, 5.8, and 6.0 at the quenched level. The effective gluon mass is estimated as $400 \sim 600$MeV for $r \equiv (x_\alpha…

高能物理 - 格点 · 物理学 2009-12-18 Takumi Iritani , Hideo Suganuma , Hideaki Iida

Several analytic approaches predict for SU(N_c) Yang-Mills theories in Landau gauge an enhanced ghost propagator G(p^2) and a suppressed gluon propagator D(p^2) at small momenta. This prediction applies to two, three and four space-time…

高能物理 - 格点 · 物理学 2011-05-05 Attilio Cucchieri , Tereza Mendes

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…

高能物理 - 理论 · 物理学 2021-12-22 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

We calculate the lattice quark propagator in Coulomb gauge both from dynamical and quenched configurations. We show that in the continuum limit both the static and full quark propagator are multiplicatively renormalizable. From the…

高能物理 - 格点 · 物理学 2012-08-03 G. Burgio , M. Schröck , H. Reinhardt , M. Quandt

We show that the low-momentum behavior of the lattice Landau-gauge gluon and ghost propagators is sensitive to the lowest non-trivial eigenvalue (\lambda_1) of the Faddeev-Popov operator. If the gauge fixing favors Gribov copies with small…

高能物理 - 格点 · 物理学 2013-09-30 Andre Sternbeck , Michael Müller-Preussker

We evaluate numerically the four-momentum-space gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done in the strong-coupling regime, namely at $\beta = 0, 0.8,…

高能物理 - 格点 · 物理学 2009-10-30 Attilio Cucchieri

The inclusion of a mass-like term for the gluon in Yang-Mills theories quantized in the Landau gauge has proven to be an effective way of reproducing lattice results for gauge-fixed correlation functions within perturbative computations.…

高能物理 - 理论 · 物理学 2026-03-20 D. M. van Egmond , L. C. Ferreira , A. D. Pereira , G. Peruzzo , S. P. Sorella

We propose to realize a mass gap in QCD by not imposing the transversality condition on the full gluon self-energy, while preserving the color gauge invariance condition for the full gluon propagator. This is justified by the nonlinear and…

高能物理 - 理论 · 物理学 2007-05-23 V. Gogokhia