scholarly journals The Landau gauge gluon propagator at zero and finite temperature: accounting for the combined finite lattice spacing and finite volume effects

2012 ◽  
Author(s):  
Paulo Silva ◽  
Orlando Oliveira
Keyword(s):  
Finite Volume ◽  
Finite Temperature ◽  
Lattice Spacing ◽  
Gluon Propagator ◽  
Finite Lattice ◽  
Landau Gauge ◽  
Volume Effects

scholarly journals Erratum: Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator [Phys. Rev. D77, 014504 (2008)]

2008 ◽  
Vol 77 (3) ◽  
Author(s):  
I. L. Bogolubsky ◽  
V. G. Bornyakov ◽  
G. Burgio ◽  
E.-M. Ilgenfritz ◽  
M. Müller-Preussker ◽  
...  
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Gauge Fixing ◽  
Volume Effects

scholarly journals Improved Landau gauge fixing and the suppression of finite-volume effects of the lattice gluon propagator

2008 ◽  
Vol 77 (1) ◽  
Author(s):  
I. L. Bogolubsky ◽  
V. G. Bornyakov ◽  
G. Burgio ◽  
E.-M. Ilgenfritz ◽  
M. Müller-Preussker ◽  
...  
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Gauge Fixing ◽  
Volume Effects

scholarly journals LATTICE QCD GLUON PROPAGATORS NEAR TRANSITION TEMPERATURE

2012 ◽  
Vol 27 (09) ◽  
pp. 1250050 ◽  
Author(s):  
V. G. BORNYAKOV ◽  
V. K. MITRJUSHKIN
Keyword(s):  
Transition Temperature ◽  
Lattice Qcd ◽  
Finite Volume ◽  
Momentum Space ◽  
Transition Point ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Volume Dependence ◽  
Gauge Fixing ◽  
Two Phases

Landau gauge gluon propagators are studied numerically in the SU (3) gluodynamics as well as in the full QCD with the number of flavors nF = 2 using efficient gauge fixing technique. We compare these propagators at temperatures very close to the transition point in two phases: confinement and deconfinement. The electric mass mE has been determined from the momentum space longitudinal gluon propagator. Gribov copy effects are found to be rather strong in the gluodynamics, while in the full QCD case they are weak ("Gribov noise"). Also we analyze finite volume dependence of the transverse and longitudinal propagators.

scholarly journals INFRARED-SUPPRESSED GLUON PROPAGATOR IN 4D YANG–MILLS THEORY IN A LANDAU-LIKE GAUGE

2007 ◽  
Vol 22 (32) ◽  
pp. 2429-2438 ◽  
Author(s):  
ATTILIO CUCCHIERI ◽  
AXEL MAAS ◽  
TEREZA MENDES
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Three Dimensional ◽  
Landau Gauge ◽  
Coulomb Gauge ◽  
Dimensional Case ◽  
Gauge Parameter ◽  
Reflection Positivity ◽  
Yang Mills ◽  
Transverse Gluon

The infrared behavior of the gluon propagator is directly related to confinement in QCD. Indeed, the Gribov–Zwanziger scenario of confinement predicts an infrared vanishing (transverse) gluon propagator in Landau-like gauges, implying violation of reflection positivity and gluon confinement. Finite-volume effects make it very difficult to observe (in the minimal Landau gauge) an infrared suppressed gluon propagator in lattice simulations of the four-dimensional case. Here we report results for the SU(2) gluon propagator in a gauge that interpolates between the minimal Landau gauge (for gauge parameter λ equal to 1) and the minimal Coulomb gauge (corresponding to λ = 0). For small values of λ we find that the spatially-transverse gluon propagator D tr (0, |p|), considered as a function of the spatial momenta |p|, is clearly infrared suppressed. This result is in agreement with the Gribov–Zwanziger scenario and with previous numerical results in the minimal Coulomb gauge. We also discuss the nature of the limit λ→0 (complete Coulomb gauge) and its relation to the standard Coulomb gauge (λ = 0). Our findings are corroborated by similar results in the three-dimensional case, where the infrared suppression is observed for all considered values of λ.

scholarly journals Finite volume effects in gluon propagator

2005 ◽  
Author(s):  
Orlando Oliveira ◽  
Paulo Silva
Keyword(s):  
Finite Volume ◽  
Gluon Propagator ◽  
Volume Effects

scholarly journals A STUDY OF GLUON PROPAGATOR ON COARSE LATTICE

2000 ◽  
Vol 15 (04) ◽  
pp. 229-244 ◽  
Author(s):  
J. P. MA
Keyword(s):  
Lattice Qcd ◽  
Smooth Function ◽  
Qualitative Agreement ◽  
Lattice Spacing ◽  
Continuum Limit ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Lattice Action ◽  
Lattice Volume ◽  
The Continuum

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 from (2.40 fm )4 to (4.0 fm )4. We find that the rotation invariance is approximately restored in the q2-range, indicated by the fact that the propagator is a smooth function of the continuum momentum q2. We try to fit our results by two different ways, in the first one we interpret the calculated gluon propagators as a function of the continuum momentum, while in the second we interpret the propagators as a function of the lattice momentum. In both cases we use models which are the same in continuum limit. A qualitative agreement between two fittings is found.

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