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We review the status of lattice simulations of gluon and ghost propagators in Landau gauge, testing predictions of the Gribov-Zwanziger confinement scenario.

High Energy Physics - Lattice · Physics 2010-01-18 Attilio Cucchieri , Tereza Mendes

Following a recent proposal by Cooper and Zwanziger we investigate via $SU(2)$ lattice simulations the effect on the Coulomb gauge propagators and on the Gribov-Zwanziger confinement mechanism of selecting the Gribov copy with the smallest…

High Energy Physics - Lattice · Physics 2017-01-18 Giuseppe Burgio , Markus Quandt , Hugo Reinhardt , Hannes Vogt

I present some new results regarding confinement as it appears in Coulomb gauge. It is found that: i) a recently proposed Yang-Mills vacuum wavefunctional in temporal gauge and 2+1 dimensions yields a Coulomb-gauge ghost propagator and…

High Energy Physics - Lattice · Physics 2011-07-14 Jeff Greensite

We propose to investigate infrared properties of gluon and ghost propagators related to the so-called Gribov-Zwanziger confinement scenario, originally formulated for Landau and Coulomb gauges, for other gauges as well. We present results…

High Energy Physics - Lattice · Physics 2008-09-24 Tereza Mendes , Attilio Cucchieri , Axel Maas , Antonio Mihara

We review our lattice results concerning the Gribov-Zwanziger confinement mechanism in Coulomb gauge. In particular, we verify the validity of Gribov's IR divergence condition for the Coulomb ghost form factor. We also show how the quark…

High Energy Physics - Lattice · Physics 2013-11-26 G. Burgio , M. Quandt , H. Reinhardt , M. Schröck , H. Vogt

We consider the effects of the Faddeev-Popov determinant in the Coulomb gauge on the confinement properties of the QCD vacuum. We show that the the determinant is needed to regularize the otherwise divergent functional integrals near the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Adam P. Szczepaniak

An introduction is given into current lattice investigations of the non-perturbative gluon and ghost propagators, in the light of the Gribov-Zwanziger and Kugo-Ojima scenarios of confinement, in the context of results obtained from the…

High Energy Physics - Phenomenology · Physics 2007-09-04 E. -M. Ilgenfritz

We present numerical results in SU(2) lattice gauge theory for the instantaneous part of the gluon propagator in Coulomb gauge D_{44, inst} = V_{coul}(R) \delta(t). Data are taken on lattice volumes 24^4 and 28^4 for 7 values of beta in the…

High Energy Physics - Lattice · Physics 2009-11-07 Attilio Cucchieri , Daniel Zwanziger

We show that in the lattice Hamiltonian limit all Coulomb gauge propagators are consistent with the Gribov-Zwanziger confinement mechanism, with an IR enhanced effective energy for quarks and gluons and a diverging ghost form factor…

High Energy Physics - Lattice · Physics 2013-01-17 G. Burgio , M. Quandt , H. Reinhardt , M. Schröck

We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a…

High Energy Physics - Lattice · Physics 2015-06-25 Attilio Cucchieri , Tereza Mendes , Daniel Zwanziger

The gluon propagator in the Landau gauge lattice QCD simulation of quenched 8^3 x 16 lattice is measured. The data suggests the confinement mechanism of the Gribov-Zwanziger theory.

High Energy Physics - Lattice · Physics 2009-10-31 Hideo Nakajima , Sadataka Furui

We discuss the gluon propagator in 3- and 4-dimensional Yang-Mills theories in Coulomb gauge and compare it with the corresponding Landau gauge propagator, showing that for both the relevant IR mass scale coincides. We also report…

High Energy Physics - Lattice · Physics 2011-04-04 G. Burgio , M. Quandt , M. Schröck , H. Reinhardt

We present results for a numerical study of the ghost propagator in Coulomb gauge whereby lattice results for the spatial gluon propagator are used as input to solving the ghost Dyson-Schwinger equation. We show that in order to solve…

High Energy Physics - Theory · Physics 2011-06-15 P. Watson , H. Reinhardt

In this talk we report on a recent lattice investigation of the Landau gauge gluon and ghost propagators in pure SU(3) lattice gauge theory with a special emphasis on the Gribov copy problem. In the (infrared) region of momenta $q^2 \le 0.3…

High Energy Physics - Lattice · Physics 2009-11-11 A. Sternbeck , E. -M. Ilgenfritz , M. Müller-Preussker , A. Schiller

We study the gluon and ghost propagators of SU(2) lattice Landau gauge theory and find their low-momentum behavior being sensitive to the lowest non-trivial eigenvalue (\lambda_1) of the Faddeev-Popov operator. If the gauge-fixing favors…

High Energy Physics - Lattice · Physics 2013-04-05 Andre Sternbeck , Michael Müller-Preussker

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

We present higher loop results for the gluon and ghost propagator in Landau gauge on the lattice calculated in numerical stochastic perturbation theory. We make predictions for the perturbative content of those propagators as function of…

High Energy Physics - Lattice · Physics 2010-02-17 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We discuss possible definitions of the Faddeev-Popov matrix for the minimal linear covariant gauge on the lattice and present preliminary results for the ghost propagator.

High Energy Physics - Lattice · Physics 2018-12-04 Attilio Cucchieri , David Dudal , Tereza Mendes , Orlando Oliveira , Martin Roelfs , Paulo J. Silva

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

Recent lattice data have reported an infrared suppressed, positivity violating gluon propagator which is nonvanishing at zero momentum and a ghost propagator which is no longer enhanced. This paper discusses how to obtain analytical results…

High Energy Physics - Theory · Physics 2008-11-26 David Dudal , John Gracey , Silvio Paolo Sorella , Nele Vandersickel , Henri Verschelde
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