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We investigate the temperature dependence of the Landau gauge gluon and ghost propagators in lattice QCD with two flavors of maximally twisted mass fermions. For these propagators we provide and analyze data which corresponds to pion mass…

High Energy Physics - Lattice · Physics 2013-06-19 R. Aouane , F. Burger , E. -M. Ilgenfritz , M. Muller-Preussker , A. Sternbeck

The proper time path integral representation is derived explicitly for Green's functions in QCD. After an introductory analysis of perturbative properties, the total gluonic field is separated in a rigorous way into a nonperturbative…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov , J. A. Tjon

We discuss the properties of ghost and gluon propagators in Landau gauge Yang-Mills theory and their relation to the confinement problem. In general two types of infrared behavior of these functions are allowed from their functional…

High Energy Physics - Phenomenology · Physics 2009-06-25 Christian S. Fischer , Axel Maas , Jan M. Pawlowski

We formulate a dressed perturbative expansion of QCD, where the standard diagrams are evaluated in the presence of a constant external gluon field whose magnitude is gaussian distributed. The approach is Poincar{\'e} and gauge invariant,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul Hoyer , Stephane Peigne

We report on recent numerical computations of the Landau gauge gluon and ghost propagators as well as of the ghost-gluon vertex function in pure SU(3) Yang-Mills theory and in full QCD on the lattice. Special emphasis is paid to the low…

High Energy Physics - Lattice · Physics 2010-11-15 E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck , A. Schiller , I. L. Bogolubsky

Using lattice quantum chromodynamics (QCD) we perform an unquenched calculation of the gluon propagator in Landau gauge. We use configurations generated with the AsqTad quark action by the MILC collaboration for the dynamical quarks and…

High Energy Physics - Lattice · Physics 2008-11-26 Patrick O. Bowman , Urs M. Heller , Derek B. Leinweber , Maria B. Parappilly , Anthony G. Williams

We discuss the coupled dynamics of the ghost dressing function and the ghost-gluon vertex through the Schwinger-Dyson equations that they satisfy. In order to close the system of equations, we combine recent lattice data for the gluon…

High Energy Physics - Phenomenology · Physics 2023-04-24 M. N. Ferreira

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

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

We present a review of our numerical studies of the running coupling constant, gluon and ghost propagators, ghost-gluon vertex and ghost condensate for the case of pure SU(2) lattice gauge theory in the minimal Landau gauge. Emphasis is…

High Energy Physics - Phenomenology · Physics 2011-08-04 Attilio Cucchieri , Tereza Mendes

A non-perturbative calculation of the ghost-gluon running QCD coupling constant is performed using $N_f=2$ twisted-mass dynamical fermions. The extraction of $\Lambda_{\bar{MS}}$ in the chiral limit reveals the presence of a…

High Energy Physics - Lattice · Physics 2010-10-28 B. Blossier , Ph. Boucaud , F. De soto , V. Morenas , M. Gravina , O. Pène , J. Rodríguez-Quintero

Fundamental quantities of QCD, such as the strong coupling and $\Lambda_{QCD}$, are studied in the framework of lattice QCD with $N_f=2$ twisted mass fermions. In particular, the contact between lattice and continuous calculations is made…

High Energy Physics - Lattice · Physics 2010-11-05 F. De soto , M. Gravina , O. Pène , J. Rodríguez-Quintero

In a previous paper we have shown that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole. These results were obtained after angular averaging, but…

High Energy Physics - Phenomenology · Physics 2009-01-14 D. Atkinson , J. C. R. Bloch

In this talk, after reviewing the dynamical gluon mass generation mechanism within the pinch technique framework and its phenomenological predictions, we will introduce the modern formulation of the pinch technique which makes extensive use…

High Energy Physics - Phenomenology · Physics 2014-11-20 D. Binosi

In this paper we study the nonperturbative structure of the SU(3) four-gluon vertex in the Landau gauge, concentrating on contributions quadratic in the metric. We employ an approximation scheme where "one-loop" diagrams are computed using…

High Energy Physics - Phenomenology · Physics 2015-06-22 D. Binosi , D. Ibañez , J. Papavassiliou

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 derive some exact relations in Landau gauge that follow from a cut-off at the Gribov horizon which is then implemented by a local, renormalizable action involving auxiliary bose and fermi ghosts. The fermi ghost propagator is more…

High Energy Physics - Theory · Physics 2009-04-24 Daniel Zwanziger

We present results concerning the non-perturbative evaluation of the ghost-gluon running QCD coupling constant from $N_f=2$ twisted-mass lattice calculations. A novel method for calibrating the lattice spacing, independent of the string…

High Energy Physics - Lattice · Physics 2014-11-21 B. Blossier , Ph. Boucaud , F. De soto , V. Morenas , M. Gravina , O. Pène , J. Rodríguez-Quintero

We study infrared contributions to the QCD description of the HERA data on the structure function $F_{2}$ within the \textit{generalized} DAS approximation. We argue that this approximation is a natural one and consistent with the…

High Energy Physics - Phenomenology · Physics 2011-03-28 E. G. S. Luna , A. A. Natale , A. L. dos Santos

This article reports on a very recent proposal for a new type of process-independent QCD effective charge [Phys.Rev.D96(2017)054026] defined, as an anologue of the Gell-Mann-Low effective charge in QCD, on the ground of nothing but the…