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We study the Landau gauge gluon and ghost propagators of SU(3) gauge theory, employing the logarithmic definition for the lattice gluon fields and implementing the corresponding form of the Faddeev-Popov matrix. This is necessary in order…

High Energy Physics - Lattice · Physics 2011-05-10 Ernst-Michael Ilgenfritz , Christoph Menz , Michael Müller-Preussker , Arwed Schiller , André Sternbeck

We utilise a recently developed minimal MOM scheme to determine the QCD Lambda parameter from the gluon and ghost propagators in lattice Landau gauge. We discuss uncertainties in the analysis and report our preliminary zero and two flavour…

High Energy Physics - Lattice · Physics 2010-05-12 A. Sternbeck , E. -M. Ilgenfritz , K. Maltman , M. Mueller-Preussker , L. von Smekal , A. G. Williams

We summarize the current status of our numerical results for the gluon and ghost propagators and for the Kugo-Ojima confinement parameter in quenched SU(3) lattice Landau gauge theory. The data for the propagators are compared to our…

High Energy Physics - Lattice · Physics 2009-09-29 A. Sternbeck , E. -M. Ilgenfritz , M. Müller-Preussker , A. Schiller , I. L. Bogolubsky

We suggest a new (dynamical) Abelian projection of the lattice QCD. It contains no gauge condition imposed on gauge fields so that Gribov copying is avoided. Configurations of gauge fields that turn into monopoles in the Abelian projection…

High Energy Physics - Lattice · Physics 2015-06-25 Sergei V. Shabanov

We study the influence of Gribov copies, in the Landau gauge, on the lattice renormalisation constant of the axial current, obtained from a Ward identity on quark state correlation functions, with the Clover action, in quenched SU(3) gauge…

High Energy Physics - Lattice · Physics 2009-10-22 Maria Luigia Paciello , Silvano Petrarca , Bruno Taglienti , Anastassios Vladikas

The Refined Gribov-Zwanziger (RGZ) action in the Landau gauge provides a local and renormalizable framework to account for the existence of infinitesimal Gribov copies in the path integral together with other relevant infrared effects such…

High Energy Physics - Theory · Physics 2024-05-14 Gustavo P. de Brito , Antonio D. Pereira

We give an update on our lattice determination of r_0 LambdaMS for different Nf. Our calculations employ the strong coupling constant in the minimal MOM scheme for QCD in Landau gauge, and we report here on our progress towards a…

High Energy Physics - Lattice · Physics 2012-12-11 Andre Sternbeck , Kim Maltman , Michael Müller-Preussker , Lorenz von Smekal

We study the influence of Gribov copies in the Coulomb gauge on the smeared hadronic correlation functions that are involved in the determination of the B meson decay constant. We find that the residual gauge freedom associated to Gribov…

High Energy Physics - Lattice · Physics 2009-10-22 M. L. Paciello , C. Parrinello , S. Petrarca , B. Taglienti , A. Vladikas

We address the lattice computation of the gluon propagator in the center-symmetric Landau gauge. After discussing a proper lattice implementation of the center-symmetric Landau gauge, we compare the lattice data with analytical results, and…

High Energy Physics - Lattice · Physics 2025-05-23 Duifje Maria van Egmond , Orlando Oliveira , Urko Reinosa , Julien Serreau , Paulo J. Silva , Matthieu Tissier

The covariant gauges are known to suffer from the Gribov problem: even after fixing a gauge non-perturbatively, there may still exist residual copies which are physically equivalent to each other, called Gribov copies. While the influence…

High Energy Physics - Lattice · Physics 2015-02-27 Dhagash Mehta , Mario Schröck

Spectral positivity is known to be violated by some forms of lattice gauge fixing. The most notable example is lattice Landau gauge, where the effective gluon mass is observed to rise rather than fall with increasing distance. We trace this…

High Energy Physics - Lattice · Physics 2010-04-05 Christopher A. Aubin , Michael C. Ogilvie

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 behavior of these propagators as predicted by a variety of…

High Energy Physics - Lattice · Physics 2014-11-18 Andre Sternbeck , Lorenz von Smekal

We study the gluon propagator in quenched lattice QCD using the Laplacian gauge which is free of lattice Gribov copies. We compare our results with those obtained in the Landau gauge on the lattice, as well as with various approximate…

High Energy Physics - Lattice · Physics 2008-11-26 C. Alexandrou , Ph. de Forcrand , E. Follana

We present a review of our numerical studies of the running coupling constant, gluon and ghost propagators, ghost-gluon vertex and ghost condensate for the case of pure SU(2) lattice gauge theory in the minimal Landau gauge. Emphasis is…

High Energy Physics - Phenomenology · Physics 2011-08-04 Attilio Cucchieri , Tereza Mendes

Compelling evidence has recently emerged from lattice simulations in favor of the massive solution of the Schwinger-Dyson equations of Landau-gauge QCD. The main objections to these lattice results are based on possible Gribov-copy effects.…

High Energy Physics - Lattice · Physics 2011-06-15 Attilio Cucchieri , Tereza Mendes

We report on a study of the analytical structure of the Landau gauge gluon, ghost and quark propagators taken from lattice simulations using large physical volumes, to better access the IR region, and large gauge ensembles to reduce the…

High Energy Physics - Lattice · Physics 2021-11-09 Orlando Oliveira , Alexandre F. Falcão , Paulo J. Silva

The ghost propagator and the Coulomb potential are evaluated in Coulomb gauge on the lattice, using an improved gauge fixing scheme which includes the residual symmetry. This setting has been shown to be essential in order to explain the…

High Energy Physics - Theory · Physics 2009-06-25 M. Quandt , G. Burgio , S. Chimchinda , H. Reinhardt

We calculate the three-point functions of pure Landau gauge QCD and investigate their influence on the propagators. As expected, the ghost-gluon vertex leads only to minor modifications, while the three-gluon vertex has a sizeable impact on…

High Energy Physics - Phenomenology · Physics 2014-01-22 Markus Q. Huber , Adrian Lorenz Blum , Mario Mitter , Lorenz von Smekal

We consider the gluon propagator $D(p^2)$ at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate…

High Energy Physics - Lattice · Physics 2010-04-22 D. Dudal , O. Oliveira , N. Vandersickel

We investigate the three-point correlation functions of Yang-Mills theory in the Landau gauge, with a particular emphasis on the infrared regime. The effect of the Gribov copies is accounted for by adding a mass term for the gluons in the…

High Energy Physics - Theory · Physics 2013-12-16 Marcela Pelaez , Matthieu Tissier , Nicolas Wschebor