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Related papers: Lattice QCD Analysis for Gluons

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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…

High Energy Physics - Lattice · Physics 2010-04-22 D. Dudal , O. Oliveira , N. Vandersickel

It has long been known that the gluon propagator in Landau-gauge QCD exhibits a mass gap; and its emergence has been ascribed to the action of the Schwinger mechanism in the gauge sector of QCD. In the present work, we relate this property…

High Energy Physics - Phenomenology · Physics 2025-08-29 Mauricio N. Ferreira , Joannis Papavassiliou , Jan M. Pawlowski , Nicolas Wink

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

Pad\'e approximants are employed in order to study the analytic structure of the four-dimensional SU(2) Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, are used as fitting…

High Energy Physics - Lattice · Physics 2022-11-30 Cristiane Y. London , Diogo Boito , Attilio Cucchieri , Tereza Mendes

We present explicit numerical evidence of reflection-positivity violation for the lattice Landau gluon propagator in three-dimensional pure SU(2) gauge theory. We use data obtained at very large lattice volumes (V = 80^3, 140^3) and for…

High Energy Physics - Lattice · Physics 2009-11-10 Attilio Cucchieri , Tereza Mendes , Andre R. Taurines

The infrared behaviour of the lattice Landau gauge gluon propagator is discussed, combining results from simulations with different volumes and lattice spacings. In particular, the Cucchieri-Mendes bounds are computed and their implications…

High Energy Physics - Lattice · Physics 2011-08-17 O. Oliveira , P. J. Silva

We compute the dimension-2 condensate, <A^2>, and the dimension-4 mixed condensate, <\bar q A q>, from the recent quenched lattice results for the quark propagator in the Landau gauge. We fit the lattice data to the Operator Product…

High Energy Physics - Phenomenology · Physics 2009-11-10 Enrique Ruiz Arriola , Patrick Oswald Bowman , Wojciech Broniowski

We study a recently proposed gauge invariant, non-local pure gauge observable, which is equivalent to the gluon propagator in a certain gauge. The correlator describes a gluon coupled to static sources and decays with eigenvalues of the…

High Energy Physics - Lattice · Physics 2009-11-07 O. Philipsen

We study Landau gauge gluon propagators in two-color QCD at finite quark chemical potential ($\mu_q$) and temperature ($T$). We include medium polarization effects at one-loop by quarks into massive gluon propagators, and compared the…

High Energy Physics - Phenomenology · Physics 2021-05-19 Toru Kojo , Daiki Suenaga

We report on the lattice computation of the Landau gauge gluon propagator at finite temperature, including the non-zero Matsubara frequencies. Moreover, the corresponding K\"all\'en-Lehmann spectral density is computed, using a Tikhonov…

High Energy Physics - Lattice · Physics 2018-04-18 Paulo J. Silva , Orlando Oliveira , David Dudal , Martin Roelfs

In the past years a good comprehension of the infrared gluon propagator has been achieved, with a good qualitative agreement between lattice results and Dyson-Schwinger equations. However, lattice simulations have been performed at physical…

High Energy Physics - Lattice · Physics 2012-10-31 O. Oliveira , P. J. Silva

We present approximate non-perturbative solutions for the propagators as well as the running coupling of QCD from a coupled system of renormalised, truncated Dyson--Schwinger equations. We employ ansaetze for the dressed vertices such that…

High Energy Physics - Phenomenology · Physics 2009-09-29 Christian S. Fischer

The non-perturbative gluon and ghost propagators in Landau gauge QCD are obtained using the Schwinger-Dyson equation approach. The propagator equations are solved in Euclidean space using Landau gauge with a range of vertex inputs.…

High Energy Physics - Phenomenology · Physics 2015-03-19 D. J. Wilson , M. R. Pennington

We calculate the three-point functions of pure Landau gauge QCD and investigate their influence on the propagators. As expected, the ghost-gluon vertex leads only to minor modifications, while the three-gluon vertex has a sizeable impact on…

High Energy Physics - Phenomenology · Physics 2014-01-22 Markus Q. Huber , Adrian Lorenz Blum , Mario Mitter , Lorenz von Smekal

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

The quark propagator at finite temperature is investigated using quenched gauge configurations. The propagator form factors are investigated for temperatures above and below the gluon deconfinement temperature $T_c$ and for the various…

High Energy Physics - Lattice · Physics 2019-10-23 Orlando Oliveira , Paulo J. Silva

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

It is a long-standing question whether the confinement of matter fields in QCD has an imprint in the (gauge-dependent) correlation functions, especially the propagators. As the analytic structure plays an important role in this question,…

High Energy Physics - Lattice · Physics 2016-07-08 Axel Maas

We investigate the gluon, ghost and quark propagators in the Landau gauge with dynamic quarks. We perform a one-loop calculation in a model where the standard Faddeev-Popov Lagrangian is complemented by a mass term for the gluons which is…

High Energy Physics - Theory · Physics 2016-08-08 Marcela Peláez , Matthieu Tissier , Nicolás Wschebor

The dependence of the Landau gauge two point gluon and ghost correlation functions on the lattice spacing and on the physical volume are investigated for pure SU(3) Yang-Mills theory in four dimensions using lattice simulations. We present…

High Energy Physics - Lattice · Physics 2016-07-13 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva