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The lattice Landau gauge gluon propagator at finite temperature is computed including the non-zero Matsubara frequencies. Furthermore, the K\"all\'en-Lehmann representation is inverted and the corresponding spectral density evaluated using…

高能物理 - 格点 · 物理学 2017-10-04 Paulo J. Silva , Orlando Oliveira , David Dudal , Martin Roelfs

The structure of the beta function of massless QCD is considered in analytic perturbation theory (APT). The two-loop analytic effective coupling is written in terms of the Lambert W function. The method of APT is applied to the gluon…

高能物理 - 唯象学 · 物理学 2012-11-26 B. Magradze

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…

高能物理 - 格点 · 物理学 2009-11-11 I. L. Bogolubsky , G. Burgio , V. K. Mitrjushkin , M. Mueller-Preussker

We discuss the current state of what is known non-perturbatively about the gluon propagator in QCD, with emphasis on the information coming from lattice simulations. We review the specification of the lattice Landau gauge and the procedure…

高能物理 - 格点 · 物理学 2015-06-25 Jeffrey E. Mandula

We evaluate the three-gluon vertex with one vanishing external momentum within the Curci-Ferrari (CF) model at two-loop order and compare our results to Landau-gauge lattice simulations of the same vertex function for the SU(2) and SU(3)…

高能物理 - 唯象学 · 物理学 2023-01-10 Nahuel Barrios , Marcela Peláez , Urko Reinosa

In this paper analytical results are presented for higher order corrections to coefficient functions of the operator product expansion (OPE) for the correlator of two pseudoscalar gluonium operators \tilde{O}_1=G^{\mu \nu}\tilde{G}_{\mu…

高能物理 - 唯象学 · 物理学 2017-07-25 M. F. Zoller

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…

高能物理 - 格点 · 物理学 2013-05-30 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

The inclusion of a mass-like term for the gluon in Yang-Mills theories quantized in the Landau gauge has proven to be an effective way of reproducing lattice results for gauge-fixed correlation functions within perturbative computations.…

高能物理 - 理论 · 物理学 2026-03-20 D. M. van Egmond , L. C. Ferreira , A. D. Pereira , G. Peruzzo , S. P. Sorella

We develop an inverse matrix method to solve for resonance masses from a dispersion relation obeyed by a correlation function. Given the operator product expansion (OPE) of a correlation function in the deep Euclidean region, we obtain the…

高能物理 - 唯象学 · 物理学 2022-01-05 Hsiang-nan Li

In the Landau-gauge lattice gluodynamics we find that, both in the SU(2) and SU(3) theory, a correlation of the Polyakov loop with the asymmetry of the $A^2$ gluon condensate as well as with the longitudinal propagator makes it possible to…

高能物理 - 格点 · 物理学 2022-02-16 V. G. Bornyakov , V. A. Goy , E. A. Kozlovsky , V. K. Mitrjushkin , R. N. Rogalyov

We determine the non-perturbative gluon condensate of four-dimensional SU(3) gauge theory in a model independent way. This is achieved by carefully subtracting high order perturbation theory results from non-perturbative lattice QCD…

高能物理 - 唯象学 · 物理学 2014-09-05 Gunnar S. Bali , Clemens Bauer , Antonio Pineda

The deconfinement phase transition of pure Yang-Mills theory at finite temperature is reflected in the behavior of gauge-fixed gluonic correlation functions. This is one of many examples of how physical information can be extracted from…

高能物理 - 格点 · 物理学 2012-03-16 Axel Maas , Jan M. Pawlowski , Lorenz von Smekal , Daniel Spielmann

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

We present a numerical study of the ghost-gluon vertex and of the corresponding renormalization function \widetilde{Z}_1(p^2) in minimal Landau gauge for SU(2) lattice gauge theory. Data were obtained for three different lattice volumes (V…

高能物理 - 格点 · 物理学 2008-11-26 A. Cucchieri , T. Mendes , A. Mihara

We revisit the computation of the three-gluon vertex in the Landau gauge using lattice QCD simulations with large physical volumes of $\sim$ (6.5 fm)$^ 4$ and $\sim$ (8 fm)$^ 4$ and large statistical ensembles. For the kinematical…

高能物理 - 格点 · 物理学 2022-02-16 Guilherme T. R. Catumba , Orlando Oliveira , Paulo J. Silva

We consider the gluon propagator $D(p^2)$ at various lattice sizes and spacings in the case of pure SU(3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of fits in the infrared region in order to (in)validate…

高能物理 - 格点 · 物理学 2010-04-22 D. Dudal , O. Oliveira , N. Vandersickel

We evaluate the longitudinal or (chromo-)electric Yang-Mills gluon propagator in the recently proposed center-symmetric Landau gauge at finite temperature [1]. To model the effect of the Gribov copies in the infrared, we use the…

高能物理 - 唯象学 · 物理学 2022-06-09 Duifje Maria van Egmond , Urko Reinosa

The lattice computation of the one-particle irreducible ghost-gluon Green function in the Landau gauge is revisited with a set of large gauge ensembles. The large statistical ensembles enable a precise determination of this Green function…

高能物理 - 格点 · 物理学 2024-11-27 Nuno Brito , Orlando Oliveira , Paulo J. Silva

We study the gluon and ghost propagators of lattice Landau gauge in the strong coupling limit $\beta = 0$ in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behaviour of these propagators as predicted by a variety…

高能物理 - 格点 · 物理学 2010-01-21 Andre Sternbeck , Lorenz von Smekal

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…

高能物理 - 格点 · 物理学 2007-05-23 Attilio Cucchieri