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We study both regular (the zero-momentum ghost dressing function not diverging), also named decoupling, and critical (diverging), also named scaling, Yang-Mills propagators solutions by analyzing the low-momentum behaviour of the ghost…

High Energy Physics - Phenomenology · Physics 2011-04-20 José Rodríguez-Quintero

We consider Yang-Mills theories in a recently proposed family of nonlinear covariant gauges that consistently deals with the issue of Gribov ambiguities. Such gauges provide a generalization of the Curci-Ferrari-Delbourgo-Jarvis gauges…

High Energy Physics - Theory · Physics 2015-11-11 Julien Serreau , Matthieu Tissier , Andréas Tresmontant

The gluon and ghost propagators in Landau Gauge Yang-Mills Theory are investigated. Self-consistent solutions are obtained from their equations of motion above and below the presumed phase transition. Gluon confinement is manifest in these…

High Energy Physics - Phenomenology · Physics 2009-11-10 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual…

High Energy Physics - Theory · Physics 2011-08-04 M. A. L. Capri , D. Dudal , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , R. Thibes , H. Verschelde

We calculate the dressed gluon and ghost propagators of Landau gauge Yang-Mills theory in the complex momentum plane from their Dyson-Schwinger equations. To this end, we develop techniques for a direct calculation such that no…

High Energy Physics - Phenomenology · Physics 2020-11-18 Christian S. Fischer , Markus Q. Huber

The infrared behavior of gluon and ghost propagators in Yang-Mills gauge theories is of central importance for the understanding of confinement in QCD. While analytic studies using Schwinger-Dyson equations predict the same infrared…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Tereza Mendes. Orlando Oliveira , Paulo J. Silva

Fixing a gauge in the non-perturbative domain of Yang-Mills theory is a non-trivial problem due to the presence of Gribov copies. In particular, there are different gauges in the non-perturbative regime which all correspond to the same…

High Energy Physics - Lattice · Physics 2009-01-27 Axel Maas

Both regular (the zero-momentum ghost dressing function not diverging), also named decoupling, and critical (diverging), also named scaling, Yang-Mills propagators solutions can be obtained by analyzing the low-momentum behaviour of the…

High Energy Physics - Phenomenology · Physics 2015-03-17 J. Rodríguez-Quintero

We study the infrared behaviour of lattice SU(3) Yang-Mills theory in Coulomb gauge in terms of the ghost propagator, the Coulomb potential and the transversal and the time-time component of the equal-time gluon propagator. In particular,…

High Energy Physics - Lattice · Physics 2008-11-26 Aiko Voigt , Ernst-Michael Ilgenfritz , Michael Mueller-Preussker , Andre Sternbeck

Both regular (the zero-momentum ghost dressing function not diverging), also named decoupling, and critical (diverging), also named scaling, Yang-Mills propagators solutions can be obtained by analyzing the low-momentum behaviour of the…

High Energy Physics - Phenomenology · Physics 2015-05-27 J. Rodríguez-Quintero

We compute ghost and gluon propagators of Yang-Mills theory in the Landau gauge at non-vanishing temperature within a functional renormalisation group setting. We construct purely thermal flows, that project onto thermal fluctuations only.…

High Energy Physics - Phenomenology · Physics 2011-12-23 Leonard Fister , Jan M. Pawlowski

The Dyson-Schwinger equations of Landau-gauge Yang-Mills theory for the gluon and ghost propagators are investigated. Numerical results are obtained within a truncation scheme which has proven to be successful at vanishing temperature. For…

High Energy Physics - Phenomenology · Physics 2011-09-13 Burghard Gruter , Reinhard Alkofer , Axel Maas , Jochen Wambach

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…

High Energy Physics - Lattice · Physics 2009-06-25 Attilio Cucchieri , Tereza Mendes

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

G_2 Yang--Mills theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is present. On the other hand, its thermodynamic properties are…

High Energy Physics - Lattice · Physics 2009-01-06 Axel Maas , Stefan Olejnik

Correlation functions of Yang-Mills theory in the Landau gauge are calculated from their equations of motion. The employed setup is completely parameter free and leads, within errors, to good quantitative agreement with corresponding…

High Energy Physics - Phenomenology · Physics 2020-07-01 Markus Q. Huber

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 recent investigations of pure Landau gauge SU(3) Yang-Mills theories which are based on the truncated Schwinger-Dyson equations (SDE) indicate an infrared power law behavior of the gluon and the ghost propagators. It has been shown that…

High Energy Physics - Theory · Physics 2007-05-23 Junya Kato

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…

High Energy Physics - Theory · Physics 2011-07-14 Kei-Ichi Kondo

Green's functions are gauge-dependent quantities. Thus, the manifestation of confinement in these correlation functions also depends on the gauge. Here we use lattice gauge theory to study the gluon and the ghost propagators in a gauge (the…

High Energy Physics - Lattice · Physics 2009-03-27 Axel Maas , Attilio Cucchieri , Tereza Mendes