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The subtraction of hypercubic lattice corrections, calculated at 1-loop order in lattice perturbation theory (LPT), is common practice, e.g., for determinations of renormalization constants in lattice hadron physics. Providing such…

高能物理 - 格点 · 物理学 2013-11-12 Jakob Simeth , Andre Sternbeck , Ernst-Michael Ilgenfritz , Holger Perlt , Arwed Schiller

We study the low-momentum behaviour of Yang-Mills propagators obtained from Landau-gauge Dyson-Schwinger equations (DSE) in the PT-BFM scheme. We compare the ghost propagator numerical results with the analytical ones obtained by analyzing…

高能物理 - 唯象学 · 物理学 2011-01-27 J. Rodríguez-Quintero

Non-perturbative formalism of the generalized effective action is used for deriving the Schwinger-Dyson equations. In order to clear the domain of integration in the functional integral from gauge copies a restriction to the Gribov horizon…

高能物理 - 理论 · 物理学 2007-05-23 P. O. Fedosenko

Lattice studies of the infrared behavior of gluon and ghost propagators are a key probe of confinement scenarios in Yang-Mills theories. However, finite-volume effects become an important issue as the infrared limit is approached. By…

高能物理 - 格点 · 物理学 2009-06-25 Attilio Cucchieri , Tereza Mendes

We reformulate the coupled set of continuum equations for the renormalized gluon and ghost propagators in QCD, such that the multiplicative renormalizability of the solutions is manifest, independently of the specific form of full vertices…

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

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 Landau gauge gluon and ghost propagators of SU(3) gauge theory, employing the logarithmic definition for the lattice gluon fields and implementing the corresponding form of the Faddeev-Popov matrix. This is necessary in order…

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…

高能物理 - 理论 · 物理学 2008-12-30 D. Dudal , J. A. Gracey , S. P. Sorella , N. Vandersickel , H. Verschelde

We compute correlation functions of three-dimensional Landau-gauge Yang-Mills theory with the Functional Renormalisation Group. Starting from the classical action as only input, we calculate the non-perturbative ghost and gluon propagators…

高能物理 - 唯象学 · 物理学 2018-12-26 Lukas Corell , Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

The SU(2) Yang-Mills gluon and ghost Green-functions are studied in Landau gauge by means of lattice gauge simulations. A focal point is their low energy behavior since in particular the Kugo-Ojima confinement criterion relates a diverging…

高能物理 - 格点 · 物理学 2009-09-29 Kurt Langfeld

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…

高能物理 - 格点 · 物理学 2011-04-04 G. Burgio , M. Quandt , M. Schröck , H. Reinhardt

We continue the systematic computation of Landau gauge gluon and ghost propagators of SU(2) gluodynamics using a sequence of increasing lattice sizes L^4 up to L=112 with corresponding \beta-values chosen to keep the linear physical size…

高能物理 - 格点 · 物理学 2013-03-15 I. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

We study the low-momentum ghost propagator Dyson-Schwinger equation (DSE) in Landau gauge, assuming for the truncation a constant ghost-gluon vertex, as it is extensively done, and a simple model for a massive gluon propagator. Then,…

高能物理 - 唯象学 · 物理学 2016-08-14 Ph. Boucaud , M. E. Gómez , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pène , J. Rodríguez-Quintero

We report on a study of the analytical structure of the Landau gauge gluon, ghost and quark propagators taken from lattice simulations using large physical volumes, to better access the IR region, and large gauge ensembles to reduce the…

高能物理 - 格点 · 物理学 2021-11-09 Orlando Oliveira , Alexandre F. Falcão , Paulo J. Silva

We employ Pad\'e approximants in the study of 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, serve as fitting functions…

高能物理 - 格点 · 物理学 2023-03-01 Diogo Boito , Attilio Cucchieri , Cristiane Y. London , Tereza Mendes

The infrared behavior of the gluon and ghost propagators is studied in SU(2) Euclidean Yang-Mills theory in the maximal Abelian gauge within the Gribov-Zwanziger framework. The nonperturbative effects associated with the Gribov copies and…

高能物理 - 理论 · 物理学 2008-11-26 M. A. L. Capri , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , R. Thibes

This brief note is devoted to a study of genuine non-perturbative corrections to the Landau gauge ghost-gluon vertex in terms of the non-vanishing dimension-two gluon condensate. We pay special attention to the kinematical limit which the…

高能物理 - 唯象学 · 物理学 2015-05-30 Ph. Boucaud , D. Dudal , J. P. Leroy , O. Péne , J. Rodríguez-Quintero

The finite-temperature behavior of gluon and of Faddeev-Popov-ghost propagators is investigated for pure SU(2) Yang-Mills theory in Landau gauge. We present nonperturbative results, obtained using lattice simulations and Dyson-Schwinger…

高能物理 - 格点 · 物理学 2008-11-26 Attilio Cucchieri , Axel Maas , Tereza Mendes

We reexamine the conventional arguments concerned with the scaling and decoupling solutions for the ghost and gluon propagators in the Landau gauge Yang-Mills theory. We point out a few issues to be clarified, which seems to be overlooked…

高能物理 - 理论 · 物理学 2011-07-14 Kei-Ichi Kondo

An introduction is given into current lattice investigations of the non-perturbative gluon and ghost propagators, in the light of the Gribov-Zwanziger and Kugo-Ojima scenarios of confinement, in the context of results obtained from the…

高能物理 - 唯象学 · 物理学 2007-09-04 E. -M. Ilgenfritz