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Related papers: Coulomb gauge ghost propagator and the Coulomb pot…

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We study the infrared behaviour of lattice SU(3) Yang-Mills theory in Coulomb gauge in terms of the ghost propagator, the Coulomb potential and the transversal and the time-time component of the equal-time gluon propagator. In particular,…

High Energy Physics - Lattice · Physics 2008-11-26 Aiko Voigt , Ernst-Michael Ilgenfritz , Michael Mueller-Preussker , Andre Sternbeck

We present results for a numerical study of the ghost propagator in Coulomb gauge whereby lattice results for the spatial gluon propagator are used as input to solving the ghost Dyson-Schwinger equation. We show that in order to solve…

High Energy Physics - Theory · Physics 2011-06-15 P. Watson , H. Reinhardt

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

A numerical study of the ghost Dyson-Schwinger equation in Coulomb gauge is performed and solutions for the ghost propagator found. As input, lattice results for the spatial gluon propagator are used. It is shown that in order to solve…

High Energy Physics - Theory · Physics 2010-12-24 Peter Watson , Hugo Reinhardt

We calculate the Coulomb ghost propagator G(|p|) and the static Coulomb potential V_C(|r|) for SU(2) Yang-Mills theory on the lattice. In view of possible scaling violations related to deviations from the Hamiltonian limit we use…

High Energy Physics - Lattice · Physics 2015-06-05 G. Burgio , M. Quandt , H. Reinhardt

Our previous studies of Coulomb gauge Yang-Mills theory are extended to finite temperature. We investigate the SU(2) static gluon and ghost propagators and show results for the Coulomb potential, with a focus on the Gribov ambiguity. To…

High Energy Physics - Lattice · Physics 2013-11-25 Hannes Vogt , Giuseppe Burgio , Markus Quandt , Hugo Reinhardt

Following a recent proposal by Cooper and Zwanziger we investigate via $SU(2)$ lattice simulations the effect on the Coulomb gauge propagators and on the Gribov-Zwanziger confinement mechanism of selecting the Gribov copy with the smallest…

High Energy Physics - Lattice · Physics 2017-01-18 Giuseppe Burgio , Markus Quandt , Hugo Reinhardt , Hannes Vogt

A thorough study of 4-dimensional SU(2) Yang-Mills theory in Coulomb gauge is performed using large scale lattice simulations. The (equal-time) transverse gluon propagator, the ghost form factor d(p) and the Coulomb potential V_{coul} (p) ~…

High Energy Physics - Lattice · Physics 2009-11-10 Kurt Langfeld , Laurent Moyaerts

We discuss recent numerical results obtained for gluon and ghost propagators in lattice Coulomb gauge and the status of the so-called Gribov-Zwanziger confinement scenario in this gauge. Particular emphasis will be given to the eigenvalue…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri

We reinvestigate the problem of Gribov ambiguities within the Landau (or Lorentz) gauge for the ghost and gluon propagators in pure SU(2) lattice gauge theory. We make use of the full symmetry group of the action taking into account {\it…

High Energy Physics - Lattice · Physics 2009-11-11 I. L. Bogolubsky , G. Burgio , V. K. Mitrjushkin , M. Mueller-Preussker

We study the gluon and ghost propagators of SU(2) lattice Landau gauge theory and find their low-momentum behavior being sensitive to the lowest non-trivial eigenvalue (\lambda_1) of the Faddeev-Popov operator. If the gauge-fixing favors…

High Energy Physics - Lattice · Physics 2013-04-05 Andre Sternbeck , Michael Müller-Preussker

In SU(2) lattice pure gauge theory we study numerically the dependence of the ghost propagator G(p) on the choice of Gribov copies in Lorentz (or Landau) gauge. We find that the effect of Gribov copies is essential in the scaling window…

High Energy Physics - Lattice · Physics 2009-11-10 T. D. Bakeev , E. -M. Ilgenfritz , V. K. Mitrjushkin , M. Mueller-Preussker

We discuss the gluon propagator in 3- and 4-dimensional Yang-Mills theories in Coulomb gauge and compare it with the corresponding Landau gauge propagator, showing that for both the relevant IR mass scale coincides. We also report…

High Energy Physics - Lattice · Physics 2011-04-04 G. Burgio , M. Quandt , M. Schröck , H. Reinhardt

We show that in the lattice Hamiltonian limit all Coulomb gauge propagators are consistent with the Gribov-Zwanziger confinement mechanism, with an IR enhanced effective energy for quarks and gluons and a diverging ghost form factor…

High Energy Physics - Lattice · Physics 2013-01-17 G. Burgio , M. Quandt , H. Reinhardt , M. Schröck

The dependence of the Landau gauge gluon and ghost propagators on the choice of Gribov copies is studied in pure SU(3) lattice gauge theory. Whereas the influence on the gluon propagator is small, the ghost propagator becomes clearly…

High Energy Physics - Lattice · Physics 2007-08-30 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller

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

I present some new results regarding confinement as it appears in Coulomb gauge. It is found that: i) a recently proposed Yang-Mills vacuum wavefunctional in temporal gauge and 2+1 dimensions yields a Coulomb-gauge ghost propagator and…

High Energy Physics - Lattice · Physics 2011-07-14 Jeff Greensite

Within the Hamiltonian approach in Coulomb gauge the ghost and gluon propagators are determined from a variational solution of the Yang-Mills Schroedinger equation showing both gluon and heavy quark confinement. The continuum results are in…

High Energy Physics - Theory · Physics 2008-07-31 H. Reinhardt , D. Campagnari , D. Epple , M. Leder , M. Pak , W. Schleifenbaum

The behavior of the Landau gauge gluon and ghost propagators is studied in pure SU(3) gauge theory at non-zero temperature on the lattice. We concentrate on the momentum range [0.6, 2.0] GeV. For the longitudinal as well as for the…

High Energy Physics - Lattice · Physics 2012-02-14 R. Aouane , V. Bornyakov , E. -M. Ilgenfritz , V. Mitrjushkin , M. Müller-Preussker , A. Sternbeck

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.…

High Energy Physics - Lattice · Physics 2017-08-23 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , V. K. Mitrjushkin
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