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The gluon and ghost propagators are computed using both quenched and dynamical configurations for the same lattice spacings. The Wilson fermions are simulated at several quark masses. Furthermore, the effect of the Gribov copies is…

High Energy Physics - Lattice · Physics 2011-04-04 P. J. Silva , O. Oliveira

In this article we use the Schwinger-Dyson equations to compute the nonperturbative modifications caused to the infrared finite gluon propagator (in the Landau gauge) by the inclusion of a small number of quark families. Our basic operating…

High Energy Physics - Phenomenology · Physics 2015-06-04 A. C. Aguilar , D. Binosi , J. Papavassiliou

We compute the full non-perturbative ghost and gluon two-point Green functions by using gauge field configurations with $\nf=2$ and $\nf=2+1+1$ twisted-mass quark flavours. We use simulations with several different light quark masses, heavy…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. Ayala , A. Bashir , D. Binosi , M. Cristoforetti , J. Rodríguez-Quintero

The coupled system of the quark-gluon vertex and quark propagator Dyson-Schwinger equations (DSEs) is investigated within Landau gauge QCD. The aim is to get a deeper insight into the mechanisms of quark confinement and dynamical chiral…

High Energy Physics - Phenomenology · Physics 2013-01-17 Markus Hopfer , Andreas Windisch , Reinhard Alkofer

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 discuss the recent progress made in understanding how some fundamental results valid in the quenched infrared sector of non-Abelian Yang-Mills theories generalize to the unquenched case. In particular, we derive in the continuum an…

High Energy Physics - Phenomenology · Physics 2013-01-14 D. Binosi

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

This talk was presented to a non-lattice audience at the June, 1992 Paris Workshop on QCD Vacuum Structure. We report on the status of quark and gluon propagators in quenched, gaugefixed lattice QCD. In Landau gauge we find that the…

High Energy Physics - Lattice · Physics 2007-05-23 Claude Bernard , Amarjit Soni , Ken Yee

The quark-gluon vertex in Landau gauge QCD is investigated in the Dyson-Schwinger approach. The aim is to obtain a fully self-consistent solution of the quark propagator and the quark-gluon vertex Dyson-Schwinger equation (DSE) in the…

High Energy Physics - Phenomenology · Physics 2012-11-01 Andreas Windisch , Markus Hopfer , Reinhard Alkofer

In the present work we discuss certain characteristic features encoded in some of the fundamental QCD Green's functions, whose origin can be traced back to the nonperturbative masslessness of the ghost field, in the Landau gauge.…

High Energy Physics - Phenomenology · Physics 2014-04-23 A. C. Aguilar , D. Binosi , D. Ibañez , J. Papavassiliou

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. Positivity violation for, and thus confinement of, gluons is demonstrated, and the analytic structure of the gluon propagator is…

High Energy Physics - Phenomenology · Physics 2009-06-25 Reinhard Alkofer , Christian S. Fischer , Markus Q. Huber , Felipe J. Llanes-Estrada , Kai Schwenzer

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

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. It can be proven that the ghost Dyson-Schwinger equation implies the Gribov-Zwanziger horizon condition. Its relation to the Kugo-Ojima…

High Energy Physics - Phenomenology · Physics 2008-11-26 Reinhard Alkofer

We investigate different aspects of lattice QCD in Landau gauge using Monte Carlo simulations. In particular, we focus on the low momentum behavior of gluon and ghost propagators. The gauge group is SU(3). Different systematic effects on…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Sternbeck

We present non-perturbative first-principle results for quark-, gluon- and meson $1$PI correlation functions of two-flavour Landau-gauge QCD in the vacuum. These correlation functions carry the full information about the theory. They are…

High Energy Physics - Phenomenology · Physics 2018-03-14 Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

Using the Dyson-Schwinger approach we investigate Landau gauge QCD with a relatively large number of chiral quark flavours. A self-consistent treatment on the propagator level enables us to study unquenching effects via the quark loop…

High Energy Physics - Phenomenology · Physics 2014-05-29 Markus Hopfer , Christian S. Fischer , Reinhard Alkofer

The Landau-gauge gluon propagator is studied using the coarse and fine dynamical MILC configurations. The effects of dynamical quarks are clearly visible and lead to a reduction of the nonperturbative infrared enhancement relative to the…

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

Nuclear Theory · Physics 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

Nonperturbative properties of gluons are studied in SU(3) lattice QCD at the quenched level. The first subject is a functional-form analysis of the gluon propagator $D_{\mu\nu}^{ab}(x)$ in the Landau gauge. We find that the gluon propagator…

High Energy Physics - Lattice · Physics 2011-07-14 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

We summarize the current status of our numerical results for the gluon and ghost propagators and for the Kugo-Ojima confinement parameter in quenched SU(3) lattice Landau gauge theory. The data for the propagators are compared to our…

High Energy Physics - Lattice · Physics 2009-09-29 A. Sternbeck , E. -M. Ilgenfritz , M. Müller-Preussker , A. Schiller , I. L. Bogolubsky