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We study the dominant non-perturbative power corrections to the ghost and gluon propagators in Landau gauge pure Yang-Mills theory using OPE and lattice simulations. The leading order Wilson coefficients are proven to be the same for both…

High Energy Physics - Lattice · Physics 2010-03-19 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , A. Y. Lokhov , J. Micheli , O. Pene , J. Rodriguez-Quintero , C. Roiesnel

In this contribution we extend our unquenched computation of the Landau gauge gluon and ghost propagators in lattice QCD at non-zero temperature. The study was aimed at providing input for investigations employing continuum functional…

High Energy Physics - Lattice · Physics 2014-03-28 R. Aouane , F. Burger , M. Muller-Preussker , E. -M. Ilgenfritz , A. Sternbeck

Local formulations of quantum field theory provide a powerful framework in which non-perturbative aspects of QCD can be analysed. Here we report on how this approach can be used to elucidate the general analytic features of QCD propagators,…

High Energy Physics - Theory · Physics 2018-11-08 Peter Lowdon

We study numerically the Schwinger-Dyson equations for the coupled system of gluon and ghost propagators in the Landau gauge and in the case of pure gauge QCD. We show that a dynamical mass for the gluon propagator arises as a solution…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. C. Aguilar , A. A. Natale

We calculate gluon and ghost propagators in Yang-Mills theory in linear covariant gauges. To that end, we utilize Nielsen identities with Landau gauge propagators and vertices as the starting point. We present and discuss numerical results…

High Energy Physics - Phenomenology · Physics 2021-09-08 Martin Napetschnig , Reinhard Alkofer , Markus Q. Huber , Jan M. Pawlowski

The two-loop invariant (running) coupling of QCD is written in terms of the Lambert W function. The analyticity structure of the coupling in the complex Q^2-plane is established. The corresponding analytic coupling is reconstructed via a…

High Energy Physics - Phenomenology · Physics 2016-12-28 B. Magradze

The quenched gluon and ghost propagator data published in [1] is reanalysed following the suggestion of [2] to resolve the differences between the infrared data of the simulations. Our results confirms that the procedure works well either…

High Energy Physics - Lattice · Physics 2017-11-29 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva

We study the nonperturbative gluon and ghost propagators in d=3 Yang-Mills, using the Schwinger-Dyson equations of the pinch technique. The use of the Schwinger mechanism leads to the dynamical generation of a gluon mass, which, in turn,…

High Energy Physics - Phenomenology · Physics 2011-08-04 Joannis Papavassiliou

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon and ghost propagators of Landau gauge QCD is solved within truncation schemes. These employ bare as well as non-perturbative ansaetze for the vertices such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer

The gluon propagator in Landau gauge is calculated in quenched QCD on a large (32^3X64) lattice at beta=6.0. In order to assess finite volume and finite lattice spacing artefacts, we also calculate the propagator on a smaller volume for two…

High Energy Physics - Lattice · Physics 2007-05-23 D. B. Leinweber , J. I. Skullerud , A. G. Williams

The objective of this thesis is to present two new perturbative frameworks for the study of low-energy Quantum Chromodynamics (QCD), termed the Screened Massive Expansion and the Dynamical Model. Both the frameworks paint a picture of the…

High Energy Physics - Theory · Physics 2023-06-26 Giorgio Comitini

We present a method of estimating perturbative coefficients in Quantum Field Theory using Pade Approximants. We test this method on various known QCD results, and find that the method works very well.

High Energy Physics - Phenomenology · Physics 2009-09-11 Mark A. Samuel , John Ellis , Marek Karliner

The gluon propagator is calculated in quenched QCD for two different lattice sizes (16^3x48 and 32^3x64) at beta=6.0. The volume dependence of the propagator in Landau gauge is studied. The smaller lattice is instrumental in revealing…

High Energy Physics - Lattice · Physics 2009-12-30 D. B. Leinweber , C. Parrinello , J. I. Skullerud , A. G. Williams

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

We present an analytic description of numerical results for the ghost propagator G(p^2) in minimal Landau gauge on the lattice. The data were produced in the SU(2) case using the largest lattice volumes to date, for d = 2, 3 and 4…

High Energy Physics - Lattice · Physics 2016-06-01 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

Recent investigations of the Dyson-Schwinger equations and Monte-Carlo lattice calculations resulted in a coherent description of the fully dressed gluon, ghost and quark propagators in Landau gauge QCD. In the Dyson-Schwinger approach the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Alkofer , C. S. Fischer

We discuss a non-perturbative lattice calculation of the ghost and gluon propagators in the pure Yang-Mills theory in Landau gauge. The ultraviolet behaviour is checked up to NNNLO yielding the value…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov , Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pène , J. Rodríguez-Quintero , C. Roiesnel

We show that the application of a novel gauge invariant truncation scheme to the Schwinger-Dyson equations of QCD leads, in the Landau gauge, to an infrared finite gluon propagator and a divergent ghost propagator, in qualitative agreement…

High Energy Physics - Phenomenology · Physics 2009-08-31 A. C. Aguilar , D. Binosi , J. Papavassiliou

We present non-perturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we…

High Energy Physics - Phenomenology · Physics 2018-03-20 Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

In SU(3) lattice QCD, we study diagonal and off-diagonal gluon propagators in the maximally Abelian (MA) gauge with U(1)$_3 \timesU(1)_8$ Landau gauge fixing. These propagators are studied both in the coordinate space and in the momentum…

High Energy Physics - Lattice · Physics 2013-05-01 Shinya Gongyo , Hideo Suganuma