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We study dynamical mass generation in pure Yang-Mills theory and report on a recently developed ansatz that exactly solves the tower of Dyson-Schwinger equations in Landau gauge at low Euclidean momentum, featuring enhanced gluon-gluon…

Using the effective potential approach for composite operators, we have formulated a general method of calculation of the truly nonperturbative Yang-Mills vacuum energy density in the covariant gauge QCD ground state quantum models. It is…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Gogohia , Gy. Kluge

The present work discusses an approach to access the physical spectrum of the Yang-Mills theory quantized in the Landau gauge. By using recent lattice data on the gluon propagator, it is possible to study the two-point functions of gauge…

High Energy Physics - Theory · Physics 2011-09-06 Silvio P. Sorella , David Dudal , Marcelo S. Guimaraes , Nele Vandersickel

The effective gluon propagator constructed with the pinch technique is governed by a Schwinger-Dyson equation with special structure and gauge properties, that can be deduced from the correspondence with the background field method. Most…

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

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…

High Energy Physics - Lattice · Physics 2007-08-30 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller

We consider the two-point correlators of Yang-Mills theories at finite temperature in the Landau gauge. We employ a model for the corresponding Yang-Mills correlators based on the inclusion of an effective mass term for gluons. The latter…

High Energy Physics - Theory · Physics 2015-06-18 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We compute the finite temperature ghost and gluon propagators of Yang-Mills theory in the Landau-DeWitt gauge. The background field that enters the definition of the latter is intimately related with the (gauge-invariant) Polyakov loop and…

High Energy Physics - Theory · Physics 2017-03-03 U. Reinosa , J. Serreau , M. Tissier , A. Tresmontant

The Dyson-Schwinger equation for the ghost-gluon vertex of the Hamiltonian approach to Yang-Mills theory in Coulomb gauge is solved at one-loop level using as input the non-perturbative ghost and gluon propagators previously determined…

High Energy Physics - Theory · Physics 2015-06-03 Davide R. Campagnari , Hugo Reinhardt

Yang-Mills theories are an important building block of the standard model and in particular of quantum chromodynamics. Its correlation functions describe the behavior of its elementary particles, the gauge bosons. In quantum chromodynamics,…

High Energy Physics - Phenomenology · Physics 2020-04-23 Markus Q. Huber

We solve numerically the Schwinger-Dyson (SD hereafter) ghost equation in the Landau gauge for a given gluon propagator finite at k=0 (alpha_gluon=1) and with the usual assumption of constancy of the ghost-gluon vertex ; we show that there…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , J-P. Leroy , A. Le Yaouanc , J. Micheli , O. Pene , J. Rodriguez--Quintero

We summarise results for the propagators of Landau gauge QCD from the Green's functions approach and lattice calculations. The nonperturbative solutions for the ghost, gluon and quark propagators from a coupled set of Dyson-Schwinger…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , R. Alkofer

We study the Landau gauge gluon propagators in dense two-color QCD at quark chemical potential, $\mu_q$, in the range from 0.5 to 1.0 GeV not reachable by the perturbative method at weak coupling. In order to take into account the…

High Energy Physics - Phenomenology · Physics 2019-10-30 Daiki Suenaga , Toru Kojo

Within the Hamiltonian approach in Coulomb gauge the ghost and gluon propagators are determined from a variational solution of the Yang-Mills Schroedinger equation showing both gluon and heavy quark confinement. The continuum results are in…

High Energy Physics - Theory · Physics 2008-07-31 H. Reinhardt , D. Campagnari , D. Epple , M. Leder , M. Pak , W. Schleifenbaum

The Bose-ghost propagator has been proposed as a carrier of the confining force in Yang-Mills theories in minimal Landau gauge. We present the first numerical evaluation of this propagator, using lattice simulations for the SU(2) gauge…

High Energy Physics - Lattice · Physics 2014-09-10 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

We present lattice results for the gluon propagator for SU(2) and SU(3) in the Laplacian gauge which avoids lattice Gribov copies. In SU(3) we compare with the most recent lattice calculation in Landau gauge and with various approximate…

High Energy Physics - Lattice · Physics 2007-05-23 C. Alexandrou , Ph. de Forcrand , E. Follana

We summarise results on the infrared behaviour of Landau gauge QCD from the Green's functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , F. Llanes-Estrada , R. Alkofer

In the first part of this thesis a coupled truncated set of Dyson-Schwinger equations (DSEs) including the one for the gluon-propagator is solved self-consistently over the whole momentum range. In Landau gauge the truncation of the coupled…

High Energy Physics - Theory · Physics 2014-12-22 Valentin Mader

A new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge is presented and solved for the static gluon and ghost propagators under the assumption of ghost dominance. The results are compared to those…

High Energy Physics - Theory · Physics 2011-06-15 Hugo Reinhardt , Markus Leder , Jan M. Pawlowski , Axel Weber

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

Over the last years, lattice calculations in pure Yang-Mills gauge theory seem to have come more or less to a consensus. The ghost propagator is not enhanced and the gluon propagator is positivity violating, infrared suppressed and…

High Energy Physics - Theory · Physics 2011-06-15 N. Vandersickel , D. Dudal , O. Oliveira , S. P. Sorella
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