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Related papers: Gluon propagator and zero-momentum modes on the la…

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We investigate propagators in Lorentz (or Landau) gauge by Monte Carlo simulations. In order to be able to compare with perturbative calculations we use large $\beta$ values. There the breaking of the Z(2) symmetry turns out to be important…

High Energy Physics - Lattice · Physics 2009-10-31 G. Damm , W. Kerler , V. K. Mitrjushkin

We study the infrared behavior of the gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory in a three-dimensional lattice. Simulations are done for nine different values of the coupling $\beta$, from $\beta = 0$…

High Energy Physics - Lattice · Physics 2009-10-31 Attilio Cucchieri

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…

High Energy Physics - Lattice · Physics 2007-05-23 Torsten Tok , Kurt Langfeld , Hugo Reinhardt , Lorenz von Smekal

We evaluate numerically the four-momentum-space gluon propagator in lattice Landau gauge, for pure SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done in the strong-coupling regime, namely at $\beta = 0, 0.8,…

High Energy Physics - Lattice · Physics 2009-10-30 Attilio Cucchieri

The SU(2) gluon propagator in Landau gauge is studied on the lattice. Our gauge fixing procedure employs simulated annealing and Z(2)-flips. It finds higher maxima of the gauge functional compared with those obtained with the standard…

High Energy Physics - Lattice · Physics 2008-11-26 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , P. Schemel , V. K. Mitrjushkin

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

We study numerically magnetic $G_M(p)$ and electric $G_E(p)$ gluon propagators and their dependence on the choice of the lattice gauge field $\caa_{x\mu}$ in SU(2) gauge theory, especially, in the low--momentum limit. We find that two…

High Energy Physics - Lattice · Physics 2007-05-23 I. L. Bogolubsky , V. K. Mitrjushkin

We study the SU(2) gluon and ghost propagators in Landau gauge on lattices up to a size of 112^4. A comparison with the SU(3) case is made and finite-volume effects are then investigated. We find that for a large range of momenta the SU(2)…

High Energy Physics - Lattice · Physics 2009-12-15 A. Sternbeck , L. von Smekal , D. B. Leinweber , A. G. Williams

We present a numerical study of the gluon propagator in lattice Landau gauge for three-dimensional pure-SU(2) lattice gauge theory at couplings beta = 4.2, 5.0, 6.0 and for lattice volumes V = 40^3, 80^3, 140^3. In the limit of large V we…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Tereza Mendes , Andre Taurines

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…

High Energy Physics - Lattice · Physics 2009-10-31 Ying Chen , Bing He , He Lin , Ji-Min Wu

We evaluate numerically the momentum-space gluon propagator in the lattice Landau gauge, for three- and four-dimensional pure SU(2) lattice gauge theory. Although there are large finite-size effects, we always observe, in the limit of large…

High Energy Physics - Lattice · Physics 2007-05-23 Attilio Cucchieri

We discuss critical slowing-down of several gauge-fixing algorithms for the so-called lambda-gauges in the SU(2) case at zero temperature. For these gauges we also evaluate the gluon propagator using different definitions of the lattice…

High Energy Physics - Lattice · Physics 2007-05-23 Attilio Cucchieri , Tereza Mendes

The gluon propagator in Landau gauge is calculated on the lattice for SU(2) gauge theory. In particular the manifestation of confinement in the gluon propagator is studied. Removing the confining center vortices from the Yang-Mills ensemble…

High Energy Physics - Lattice · Physics 2015-06-25 K. Langfeld , H. Reinhardt , J. Gattnar

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…

High Energy Physics - Lattice · Physics 2013-05-30 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

We continue the systematic computation of Landau gauge gluon and ghost propagators of SU(2) gluodynamics using a sequence of increasing lattice sizes L^4 up to L=112 with corresponding \beta-values chosen to keep the linear physical size…

High Energy Physics - Lattice · Physics 2013-03-15 I. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

We present rigorous upper and lower bounds for the zero-momentum gluon propagator D(0) of Yang-Mills theories in terms of the average value of the gluon field. This allows us to perform a controlled extrapolation of lattice data to infinite…

High Energy Physics - Lattice · Physics 2008-11-26 A. Cucchieri , T. Mendes

We evaluate numerically the three-momentum-space gluon propagator in the lattice Landau gauge, for three-dimensional pure-SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done for nine different values of the…

High Energy Physics - Lattice · Physics 2009-10-31 Attilio Cucchieri

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…

High Energy Physics - Lattice · Physics 2007-05-23 V. G. Bornyakov , S. M. Morozov , M. I. Polikarpov

We present recent results of the Landau gauge gluon and ghost propagators in SU(3) pure gauge theory at Wilson \beta=5.7 for lattice sizes up to 80^4 corresponding to physical volumes up to (13.2 fm)^4. In particular, we focus on…

High Energy Physics - Lattice · Physics 2009-04-14 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

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
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