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We employ Pad\'e approximants in the study of the analytic structure of the four-dimensional $SU(2)$ Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, serve as fitting functions…

高能物理 - 格点 · 物理学 2023-03-01 Diogo Boito , Attilio Cucchieri , Cristiane Y. London , Tereza Mendes

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.…

高能物理 - 格点 · 物理学 2017-08-23 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , V. K. Mitrjushkin

We study propagators of diagonal and off-diagonal gluons in the momentum space in maximal abelian gauge of SU(2) lattice gauge theory. Remaining U(1) degrees of freedom are fixed using Landau gauge. We find substantial difference between…

高能物理 - 格点 · 物理学 2007-05-23 V. G. Bornyakov , S. M. Morozov , M. I. Polikarpov

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…

高能物理 - 格点 · 物理学 2007-05-23 Torsten Tok , Kurt Langfeld , Hugo Reinhardt , Lorenz von Smekal

We study the momentum dependence of the ghost propagator and of the space and time components of the gluon propagator at equal time in pure SU(3) lattice Coulomb gauge theory carrying out a joint analysis of data collected independently at…

高能物理 - 格点 · 物理学 2009-06-25 Y. Nakagawa , A. Voigt , E. -M. Ilgenfritz , M. Müller-Preussker , A. Nakamura , T. Saito , A. Sternbeck , H. Toki

The interpretation of the Landau gauge lattice gluon propagator as a massive type bosonic propagator is investigated for i) an infrared constant gluon mass; ii) an ultraviolet constant gluon mass; iii) a momentum dependent mass. We find…

高能物理 - 格点 · 物理学 2011-01-27 P. Bicudo , O. Oliveira

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…

高能物理 - 格点 · 物理学 2010-02-17 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

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…

高能物理 - 格点 · 物理学 2009-11-11 A. Sternbeck , E. -M. Ilgenfritz , M. Müller-Preussker , A. Schiller

The Landau gauge lattice gluon propagator is discussed for different sets of lattices. Particular attention is given to its infrared properties. Our results show that the lattice propagator can be made compatible with either the…

高能物理 - 格点 · 物理学 2011-07-14 O. Oliveira , P. J. Silva

We performed lattice Landau gauge QCD simulation on \beta=6.0, 16^4, 24^4, 32^4 and \beta=6.4, 32^4, 48^4 and 56^4 by adopting the gauge fixing that minimizes the norm of the gauge field, and measured the running coupling by using the gluon…

高能物理 - 格点 · 物理学 2013-05-29 Sadataka Furui , Hideo Nakajima

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…

高能物理 - 格点 · 物理学 2012-12-11 Andre Sternbeck , Kim Maltman , Michael Müller-Preussker , Lorenz von Smekal

We evaluate the so-called Bose-ghost propagator Q(p^2) for SU(2) gauge theory in minimal Landau gauge, considering lattice volumes up to 120^4 and physical lattice extents up to 13.5 f. In particular, we investigate discretization effects,…

高能物理 - 格点 · 物理学 2016-11-16 Attilio Cucchieri , Tereza Mendes

We present an analytic description of numerical results for the Landau-gauge SU(2) gluon propagator D(p^2), obtained from lattice simulations (in the scaling region) for the largest lattice sizes to date, in d = 2, 3 and 4 space-time…

高能物理 - 格点 · 物理学 2013-05-30 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

The gluon propagator has been calculated for quenched QCD in the Landau gauge at beta=6.0 for volumes 16^3x48 and 32^3x64, and at beta=6.2 for volume 24^3x48$. The large volume and different lattice spacings allow us to identify and…

高能物理 - 格点 · 物理学 2008-11-26 D. B. Leinweber , C. Parrinello , J. I. Skullerud , A. G. Williams

We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume…

高能物理 - 格点 · 物理学 2009-10-31 J. P. Ma

The Landau-gauge gluon propagator is computed for the SU(3) gauge theory on lattices up to a size of $32^3 \times 200$. We use the standard Wilson action at $\beta = 6.0$ and compare our results with previous computations using large…

高能物理 - 格点 · 物理学 2008-11-26 O. Oliveira , P. J. Silva , E. -M. Ilgenfritz , A. 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…

高能物理 - 格点 · 物理学 2010-05-12 A. Sternbeck , E. -M. Ilgenfritz , K. Maltman , M. Mueller-Preussker , L. von Smekal , A. G. Williams

We investigate how the infrared behavior of electric and magnetic gluon propagators in Landau gauge is affected by temperature. More precisely, we perform large-lattice simulations in pure SU(2) gauge theory around the transition…

高能物理 - 格点 · 物理学 2015-03-18 Attilio Cucchieri , Tereza Mendes

The continuum limit of SU(2) lattice gauge theory is carefully investigated at zero and at finite temperatures. It is found that the continuum gauge field has singularities originating from center degrees of freedom being discovered in…

高能物理 - 格点 · 物理学 2015-06-25 K. Langfeld , E. -M. Ilgenfritz , H. Reinhardt , G. Shin

The two point gluon and ghost correlation functions and the three gluon vertex are investigated, in the Landau gauge, using lattice simulations. For the two point functions, we discuss the approach to the continuum limit looking at the…

高能物理 - 格点 · 物理学 2017-04-05 O. Oliveira , A. G. Duarte , D. Dudal , P. J. Silva