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Correlation functions of Yang-Mills theory in the Landau gauge are calculated from their equations of motion. The employed setup is completely parameter free and leads, within errors, to good quantitative agreement with corresponding…

High Energy Physics - Phenomenology · Physics 2020-07-01 Markus Q. Huber

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…

High Energy Physics - Lattice · Physics 2009-12-18 Takumi Iritani , Hideo Suganuma , Hideaki Iida

The lattice three-gluon vertex in the Landau gauge is revisited using a large physical volume $\sim(8\textrm{fm})^4$ and a large statistical ensemble. The improved calculation explores the symmetries of the hypercubic lattice to reduce the…

High Energy Physics - Lattice · Physics 2021-11-12 Guilherme T. R. Catumba , Orlando Oliveira , Paulo J. Silva

Recent investigations of the Dyson-Schwinger equations and Monte-Carlo lattice calculations resulted in a coherent description of the fully dressed gluon, ghost and quark propagators in Landau gauge QCD. In the Dyson-Schwinger approach the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Alkofer , C. S. Fischer

Recent progress in our studies of propagators and three-point functions in Landau gauge for QCD and QCD-like theories is presented. Special emphasis is put on the properties of the three-gluon vertex and the quark-gluon vertex. The effect…

High Energy Physics - Phenomenology · Physics 2014-05-29 Reinhard Alkofer , Gernot Eichmann , Christian S. Fischer , Markus Hopfer , Milan Vujinovic , Richard Williams , Andreas Windisch

We complete our high-accuracy studies of the lattice ghost propagator in Landau gauge in Numerical Stochastic Perturbation Theory up to three loops. We present a systematic strategy which allows to extract with sufficient precision the…

High Energy Physics - Lattice · Physics 2010-12-09 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We present the results of two high-statistics studies of the gluon propagator in the Landau gauge, at $\beta=6.0$, on different lattice volumes. The dependence of the propagator on the momenta is well described by the expression $G(k^2) =…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Marenzoni , G. Martinelli , N. Stella , M. Testa

We report results on the Coulomb-gauge ghost propagator and the color-Coulomb potential computed in two lattice gauge-field ensembles: (1) configurations derived from our recently proposed Yang-Mills vacuum wave functional in 2+1…

High Energy Physics - Lattice · Physics 2011-03-04 J. Greensite , S. Olejnik

The infrared behavior of gluon and ghost propagators in Yang-Mills theories is of central importance for understanding quark and gluon confinement in QCD. While simulations of pure SU(3) gauge theory correspond to the physical case in the…

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

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

In previous works, we have constructed a refined version of the Gribov-Zwanziger action in 4 dimensions, by taking into account a novel dynamical effect. In this paper, we explore the 3-dimensional case. Analogously as in 4 dimensions, we…

High Energy Physics - Theory · Physics 2008-12-30 D. Dudal , J. A. Gracey , S. P. Sorella , N. Vandersickel , H. Verschelde

We discuss recent numerical results obtained for gluon and ghost propagators in lattice Coulomb gauge and the status of the so-called Gribov-Zwanziger confinement scenario in this gauge. Particular emphasis will be given to the eigenvalue…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri

Non-Abelian gauge theories with fermions transforming in the adjoint representation of the gauge group (AdjQCD) are a fundamental ingredient of many models that describe the physics beyond the Standard Model. Two relevant examples are N=1…

High Energy Physics - Lattice · Physics 2018-04-25 Georg Bergner , Stefano Piemonte

We examine the gluon propagator in the Laplacian gauge in quenched lattice QCD as a function of the number of colours. We observe a weak dependence on $N_c$ over the whole momentum range. This implies an almost $N_c$-independent gluon pole…

High Energy Physics - Lattice · Physics 2009-11-07 C. Alexandrou , Ph. de Forcrand , E. Follana

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

The infrared behavior of gluon and ghost propagators offers a crucial test of confinement scenarios in Yang-Mills theories. A nonperturbative study of these propagators from first principles is possible in lattice simulations, but one must…

High Energy Physics - Lattice · Physics 2008-09-24 Attilio Cucchieri , Tereza Mendes

We present results for the gluon and ghost propagators and the ghost-gluon vertex obtained from Dyson-Schwinger equations. In the zero temperature case we elaborate on the role of the three-gluon vertex and discuss a model that can capture…

High Energy Physics - Lattice · Physics 2013-11-05 Markus Q. Huber , Lorenz von Smekal

For SU(2) lattice gauge theory we study numerically the infrared behavior of the Landau gauge ghost and gluon propagators with the special accent on the Gribov copy dependence. Applying a very efficient gauge fixing procedure and generating…

High Energy Physics - Lattice · Physics 2009-11-06 V. G. Bornyakov , V. K. Mitrjushkin , M. Müller--Preussker

The infrared behaviour of the lattice Landau gauge gluon propagator is discussed, combining results from simulations with different volumes and lattice spacings. In particular, the Cucchieri-Mendes bounds are computed and their implications…

High Energy Physics - Lattice · Physics 2011-08-17 O. Oliveira , P. J. Silva

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