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Approximate solutions for the gluon and ghost propagators as well as the running coupling in Landau gauge Yang-Mills theories are presented. These propagators obtained from the corresponding Dyson-Schwinger equations are in remarkable…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Alkofer , C. S. Fischer , L. 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…

高能物理 - 格点 · 物理学 2009-11-06 V. G. Bornyakov , V. K. Mitrjushkin , M. Müller--Preussker

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 $\beta=6.4, 32^4, 48^4, 56^4$…

高能物理 - 格点 · 物理学 2009-11-10 Hideo Nakajima , Sadataka Furui

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

The Landau gauge gluon propagator for the pure gauge theory is evaluated on a 32^3x64 lattice with a physical volume of (3.35^3x6.7)fm^4. Comparison with two smaller lattices at different lattice spacings allows an assessment of finite…

高能物理 - 格点 · 物理学 2014-11-17 D. B. Leinweber , J. I. Skullerud , A. G. Williams , C. Parrinello

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 influence of Gribov copies on gluon and ghost propagators, evaluated numerically in pure SU(2) lattice gauge theory in the minimal Landau gauge. Simulations are done at four different values of $\beta$ (namely $\beta$ = 0, 0.8,…

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

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…

高能物理 - 格点 · 物理学 2009-09-29 A. Sternbeck , E. -M. Ilgenfritz , M. Müller-Preussker , A. Schiller , I. L. Bogolubsky

We present explicit numerical evidence of reflection-positivity violation for the lattice Landau gluon propagator in three-dimensional pure SU(2) gauge theory. We use data obtained at very large lattice volumes (V = 80^3, 140^3) and for…

高能物理 - 格点 · 物理学 2009-11-10 Attilio Cucchieri , Tereza Mendes , Andre R. Taurines

We report on the infrared behaviour of the lattice gluon propagator. The bounds on D(0) and their behaviour with the lattice volume are investigated, together with the full propagator. Moreover, a study of the gluon propagator using…

高能物理 - 格点 · 物理学 2010-11-05 O. Oliveira , P. J. Silva

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 investigate the temperature dependence of the Landau gauge gluon and ghost propagators in lattice QCD with two flavors of maximally twisted mass fermions. For these propagators we provide and analyze data which corresponds to pion mass…

高能物理 - 格点 · 物理学 2013-06-19 R. Aouane , F. Burger , E. -M. Ilgenfritz , M. Muller-Preussker , A. Sternbeck

We present a numerical study of the ghost propagators in Landau gauge for SU(2) and SU(3) gauge theories at $\beta$=2.7 and $\beta$=6.0, respectively. Analyzing different lattice sizes up to $32^4$, we find small finite size effects. Down…

高能物理 - 格点 · 物理学 2009-10-28 H. Suman , K. Schilling

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…

高能物理 - 格点 · 物理学 2015-06-25 Attilio Cucchieri , Tereza Mendes , Daniel Zwanziger

This is the first of a series of two papers on the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to eventually compare with results from lattice simulations in order to enlight…

高能物理 - 格点 · 物理学 2010-10-27 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

This is the second of two papers devoted to the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Such a computation should enable a comparison with results from lattice simulations in order to…

高能物理 - 格点 · 物理学 2010-10-27 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We calculated the SU(2) gluon propagator in Landau gauge on an anisotropic coarse lattice with the improved action. The standard and the improved scheme are used to fix the gauge in this work. Even on the coarse lattice the lattice gluon…

高能物理 - 格点 · 物理学 2009-10-31 Ying Chen , Bing He , He Lin , Ji-Min Wu

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two $A^2$ gluon condensate as well as the transverse and longitudinal gluon propagators at $T>T_c$ in the Landau-gauge $SU(2)$ lattice gauge theory with a…

高能物理 - 格点 · 物理学 2019-11-27 V. G. Bornyakov , V. K. Mitrjushkin , R. N. Rogalyov

The gluon propagator in Landau gauge is calculated in quenched QCD on a large (32^3X64) lattice at beta=6.0. In order to assess finite volume and finite lattice spacing artefacts, we also calculate the propagator on a smaller volume for two…

高能物理 - 格点 · 物理学 2007-05-23 D. B. Leinweber , J. I. Skullerud , A. G. Williams

We summarize the higher-loop perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to compare with results from lattice simulations in order to expose the genuinely non-perturbative…

高能物理 - 格点 · 物理学 2015-05-20 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero