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We study the influence of Gribov copies on gluon and ghost propagators in lattice Landau gauge. For the gluon propagator, Gribov noise seems to be of the order of magnitude of the numerical accuracy. On the contrary, for the ghost…

High Energy Physics - Lattice · Physics 2009-10-30 Attilio Cucchieri , Tereza Mendes

To investigate the possibility of a ghost-antighost condensate the coupled Dyson--Schwinger equations for the gluon and ghost propagators in Yang--Mills theories are derived in general covariant gauges, including ghost-antighost symmetric…

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

We perform numerical studies of the running coupling constant alpha_R(p^2) and of the gluon and ghost propagators for pure SU(2) lattice gauge theory in the minimal Landau gauge. Different definitions of the gauge fields and different…

High Energy Physics - Lattice · Physics 2016-09-01 Jacques C. R. Bloch , Attilio Cucchieri , Kurt Langfeld , Tereza Mendes

We consider the implications of the condensation of a general local BRST invariant dimension two operator built out of the localizing ghost fields of the Gribov-Zwanziger Lagrangian which is a localized Lagrangian incorporating the Gribov…

High Energy Physics - Theory · Physics 2010-11-11 J. A. Gracey

Infrared behavior of the Landau gauge gluon propagators is studied numerically in the 3d SU(2) gauge theory on the lattice. A special accent is made on the study of Gribov copy effect. For this study we employ an efficient gauge-fixing…

High Energy Physics - Lattice · Physics 2013-10-30 V. G. Bornyakov , V. K. Mitrjushkin , R. N. Rogalyov

We report on the infrared limit of the quenched lattice Landau gauge gluon and ghost propagators computed from large asymmetric lattices. In particular, the compatibility of the pure power law infrared solutions of the Dyson-Schwinger…

High Energy Physics - Lattice · Physics 2009-09-29 P. J. Silva , O. Oliveira

Lattice results for the gluon propagator in SU(2) pure gauge theory obtained on large lattices are presented. Simulated annealing is used throughout to fix the Landau gauge. We concentrate on checks for Gribov copy effects and for scaling…

High Energy Physics - Lattice · Physics 2010-11-05 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

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

Landau gauge gluon propagators are studied numerically in the SU(3) gluodynamics as well as in the full QCD with the number of flavors $n_F=2$ using efficient gauge fixing technique. We compare these propagators at temperatures very close…

High Energy Physics - Lattice · Physics 2015-05-27 V. G. Bornyakov , V. K. Mitrjushkin

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon and ghost propagators of Landau gauge QCD is solved within truncation schemes. These employ bare as well as non-perturbative ansaetze for the vertices such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer

The infrared behaviour of gluon and ghost propagators, ghost-gluon vertex and three-gluon vertex is investigated for both the covariant Landau and the non-covariant Coulomb gauge. Assuming infrared ghost dominance, we find a unique infrared…

High Energy Physics - Theory · Physics 2008-11-26 Wolfgang Schleifenbaum , Markus Leder , Hugo Reinhardt

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 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 non-perturbative nilpotent exact BRST symmetry of the Gribov-Zwanziger action in the Landau gauge constructed in [ arXiv:1506.06995 [hep-th]] is generalized to the case of Euclidean Yang-Mills theories quantized in the maximal Abelian…

High Energy Physics - Theory · Physics 2015-10-21 M. A. L. Capri , D. Fiorentini , S. P. Sorella

Nonperturbative properties of gluons are studied in SU(3) lattice QCD at the quenched level. The first subject is a functional-form analysis of the gluon propagator $D_{\mu\nu}^{ab}(x)$ in the Landau gauge. We find that the gluon propagator…

High Energy Physics - Lattice · Physics 2011-07-14 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

We solve a truncated system of coupled Dyson-Schwinger equations for the gluon and ghost propagators in SU($N_c$) Yang-Mills theories in Faddeev-Popov quantization on a four-torus. This compact space-time manifold provides an efficient mean…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , R. Alkofer , H. Reinhardt

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"…

High Energy Physics - Lattice · Physics 2009-05-18 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

The Gribov copies and their consequences on the infrared behavior of the gluon propagator are investigated in Euclidean Yang-Mills theories quantized in linear covariant gauges. Considering small values of the gauge parameter, it turns out…

High Energy Physics - Theory · Physics 2009-11-11 R. F. Sobreiro , S. P. Sorella

The gauge-boson, ghost and fermion propagators as well as the gauge-boson--ghost vertex function are studied for SU(N), Sp(2N) and SO(N) gauge groups. We solve a set of coupled Dyson-Schwinger equations in Landau gauge for a variable,…

High Energy Physics - Phenomenology · Physics 2024-03-22 Fabian Zierler , Reinhard Alkofer

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
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