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On the lattice we study the gauge boson propagator of three dimensional compact QED in Landau gauge at zero and non-zero temperature. The non-perturbative effects are taken into account by the generation of a mass, by an anomalous dimension…

高能物理 - 格点 · 物理学 2009-11-07 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

The coupled Dyson-Schwinger equations for the gluon and ghost propagators are investigated in the Landau gauge using a two-loop improved truncation that preserves the multiplicative renormalizability of the propagators. In this truncation…

高能物理 - 唯象学 · 物理学 2009-01-14 J. C. R. Bloch

We present the results of a high statistics lattice study of the gluon propagator, in the Landau gauge, at $\beta=6.0$. As suggested by previous studies, we find that, in momentum space, the propagator is well described by the expression…

高能物理 - 格点 · 物理学 2015-06-25 P. Marenzoni , G. Martinelli , N. Stella

Starting from the lattice Landau gauge gluon and ghost propagator data we use a sequence of Pad\'e approximants, identify the poles and zeros for each approximant and map them into the analytic structure of the propagators. For the Landau…

高能物理 - 格点 · 物理学 2021-01-04 Alexandre F. Falcão , Orlando Oliveira , Paulo J. Silva

We analyze the large distance and low-momentum behavior of the magnetic gluon propagator of the SU(2) gauge theory at finite temperature. Lattice calculations within the 4-dimensional as well as the effective, dimensionally reduced…

高能物理 - 格点 · 物理学 2009-10-31 A. Cucchieri , F. Karsch , P. Petreczky

The ghost and gluon propagator and the ghost-gluon and three-gluon vertex of two-dimensional SU(2) Yang-Mills theory in (minimal) Landau gauge are studied using lattice gauge theory. It is found that the results are qualitatively similar to…

高能物理 - 格点 · 物理学 2008-11-26 Axel Maas

A gauge invariant, non-local observable is constructed in lattice pure gauge theory, which is identical to the gluon propagator in a particular gauge. The transfer matrix formalism is used to show that this correlator decays exponentially…

高能物理 - 格点 · 物理学 2009-11-07 Owe Philipsen

Recently, it has been proposed to compute parton distributions from boosted correlators fixed in the Coulomb gauge within the framework of Large-Momentum Effective Theory. This method does not involve Wilson lines and could greatly improve…

高能物理 - 格点 · 物理学 2024-08-13 Xiang Gao , Jinchen He , Rui Zhang , Yong Zhao

The gluon propagator is calculated in the instanton background in a form appropriate for extracting the momentum dependent gluon mass. In background-$\xi$-gauge we get for the mass $400$MeV for small $p^2$ independent of the gauge parameter…

高能物理 - 唯象学 · 物理学 2016-09-01 Marcus Hutter

The Landau gauge gluon propagator for the pure gauge theory is evaluated on a 32^3x64 lattice with a physical volume of (3.35^3x6.7)fm^4. Comparison with two smaller lattices at different lattice spacings allows an assessment of finite…

高能物理 - 格点 · 物理学 2014-11-17 D. B. Leinweber , J. I. Skullerud , A. G. Williams , C. Parrinello

Covariant $R_\xi$ gauge fixing is notoriously difficult for large lattice volumes, large $\xi$ and small $N_c$. We thoroughly test different convergence techniques, which allows the gauge fixing of lattice configurations with a total volume…

高能物理 - 格点 · 物理学 2015-09-23 Pedro Bicudo , Daniele Binosi , Nuno Cardoso , Orlando Oliveira , Paulo J. Silva

The static longitudinal and transverse gluon propagators in the Landau gauge are studied in $2+1$ lattice QCD with nonzero isospin chemical potential $\mu_I$. Parameterization of the momentum dependence of the propagators is provided for…

高能物理 - 格点 · 物理学 2021-09-21 V. G. Bornyakov , A. A. Nikolaev , R. N. Rogalyov , A. S. Terentev

The three dimensional Gribov-Zwanziger Lagrangian is analysed at one and two loops. Specifically, the two loop gap equation is evaluated and the Gribov mass is expressed in terms of the coupling constant. The one loop corrections to the…

高能物理 - 理论 · 物理学 2011-02-09 J. A. Gracey

The lowest scalar and pseudoscalar glueball masses are evaluated by means of the time-dependent variational approach to the Yang-Mills gauge theory without fermions in the Hamiltonian formalism within a Gaussian wavefunctional…

高能物理 - 唯象学 · 物理学 2012-09-03 Y. Tsue

Recent numerical studies of the gluon propagator in the minimal Landau and Coulomb gauges in space-time dimension 2, 3, and 4 pose a challenge to the Gribov confinement scenario. We prove, without approximation, that for these gauges, the…

高能物理 - 唯象学 · 物理学 2013-05-01 Daniel Zwanziger

The use of lattice tensor representations is explored to investigate the lattice Landau gauge gluon propagator for the pure SU(3) Yang-Mills gauge theory in 4D. The analysis of several tensor bases allows to quantify the completeness of the…

高能物理 - 格点 · 物理学 2021-04-14 Guilherme T. R. Catumba , Orlando Oliveira , Paulo J. Silva

The Refined Gribov-Zwanziger (RGZ) action in the Landau gauge accounts for the existence of infinitesimal Gribov copies as well as the dynamical formation of condensates in the infrared of Euclidean Yang-Mills theories. We couple scalar…

高能物理 - 理论 · 物理学 2023-09-11 Gustavo P. de Brito , Philipe De Fabritiis , Antonio D. Pereira

In this paper, we discuss the gluon propagator in the linear covariant gauges in $D=2,3,4$ Euclidean dimensions. Non-perturbative effects are taken into account via the so-called Refined Gribov-Zwanziger framework. We point out that, as in…

The dependence of the gluon and ghost propagator in pure SU(3) gauge theory on the choice of Gribov copies in Landau gauge is studied. Simulations were performed on several lattice sizes at $\beta$=5.8, 6.0 and 6.2. In the infrared region…

高能物理 - 格点 · 物理学 2007-08-30 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller

We study the scaling behavior and finite (physical) volume effects as well as the Gribov copy dependence of the SU(2) Landau gauge gluon propagator on the lattice. Our physical lattice sizes range from $(3.0 \mathrm{fm})^4$ to $(7.3…

高能物理 - 格点 · 物理学 2010-04-06 V. G. Bornyakov , V. K. Mitrjushkin , M. Müller-Preussker