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Related papers: Comparing SU(2) to SU(3) gluodynamics on large lat…

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We study Landau-gauge gluon and ghost propagators in Yang-Mills theories at lattice parameter beta = 0, considering relatively large lattice volumes for the case of the SU(2) gauge group in three and four space-time dimensions. We compare…

High Energy Physics - Lattice · Physics 2010-04-06 Attilio Cucchieri , Tereza Mendes

We study the Landau gauge gluon propagator D(p) in the 3d SU(2) lattice gauge theory. We show that in the infinite-volume limit the expectation values over the Gribov region \Omega, are different (in the infrared) from that calculated in…

High Energy Physics - Lattice · Physics 2014-03-26 V. G. Bornyakov , V. K. Mitrjushkin , R. N. Rogalyov

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…

High Energy Physics - Lattice · Physics 2009-06-25 Y. Nakagawa , A. Voigt , E. -M. Ilgenfritz , M. Müller-Preussker , A. Nakamura , T. Saito , A. Sternbeck , H. Toki

The question of whether confining effects are visible in correlation functions is a long-standing one. Complementing investigations on the propagators of fundamental and adjoint scalar matter particles here the quenched scalar-gluon vertex…

High Energy Physics - Lattice · Physics 2019-06-18 Axel Maas

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 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

We study finite (physical) volume and scaling violation effects of the Landau gauge ghost propagator as well as of the running coupling $\alpha_s(p)$ in the $SU(2)$ lattice gauge theory. We consider lattices with physical linear sizes…

High Energy Physics - Lattice · Physics 2015-10-09 V. G. Bornyakov , E. -M. Ilgenfritz , C. Litwinski , V. K. Mitrjushkin , M. Muller-Preussker

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 study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract $\Lambda_{\text{QCD}}$ -…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov , C. Roiesnel

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 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

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 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

The infrared behavior of gluon and ghost propagators offers a crucial test of confinement scenarios in Yang-Mills theories. A nonperturbative study of these propagators from first principles is possible in lattice simulations, but one must…

High Energy Physics - Lattice · Physics 2008-09-24 Attilio Cucchieri , Tereza Mendes

High accuracy numerical results for the SU(2) gluonic form factor are previewed for the case of Landau gauge. I focus on the information of quark confinement encoded in the gluon propagator.

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld

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,…

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

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…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Sternbeck

We study the SU(3) gluon propagator in renormalizable $R_\xi$ gauges implemented on a symmetric lattice with a total volume of (3.25 fm)$^4$ for values of the guage fixing parameter up to $\xi=0.5$. As expected, the longitudinal gluon…

High Energy Physics - Lattice · Physics 2016-01-20 P. Bicudo , D. Binosi , N. Cardoso , O. Oliveira , P. J. Silva

In previous works, we have constructed a refined version of the Gribov-Zwanziger action in 4 dimensions, by taking into account a novel dynamical effect. In this paper, we explore the 3-dimensional case. Analogously as in 4 dimensions, we…

High Energy Physics - Theory · Physics 2008-12-30 D. Dudal , J. A. Gracey , S. P. Sorella , N. Vandersickel , H. Verschelde

We investigate the large distance behavior of the electric and magnetic propagators of hot SU(2) gauge theory in different gauges using lattice simulations of the full 4d theory and the effective, dimensionally reduced 3d theory. Comparison…

High Energy Physics - Lattice · Physics 2009-09-25 A. Cucchieri , F. Karsch , P. Petreczky