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In this article we study the general structure and special properties of the Schwinger-Dyson equation for the gluon propagator constructed with the pinch technique, together with the question of how to obtain infrared finite solutions,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Arlene C. Aguilar , Joannis Papavassiliou

Recent lattice studies exhibit infrared finite effective QCD charges. Corresponding gluon propagator in Landau gauge is finite and nonzero, suggesting a mechanism of dynamical gluon mass generation is in the operation. In this paper, the…

High Energy Physics - Lattice · Physics 2015-05-27 Vladimir Sauli

We study the necessary conditions for obtaining infrared finite solutions from the Schwinger-Dyson equation governing the dynamics of the gluon propagator. The equation in question is set up in the Feynman gauge of the background field…

High Energy Physics - Phenomenology · Physics 2008-11-26 Arlene C. Aguilar , Joannis Papavassiliou

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

We present a pedagogical overview of the nonperturbative mechanism that endows gluons with a dynamical mass. This analysis is performed based on pure Yang-Mills theories in the Landau gauge, within the theoretical framework that emerges…

High Energy Physics - Phenomenology · Physics 2015-11-30 A. C. Aguilar , D. Binosi , J. Papavassiliou

In this talk we review some recent results on the infrared properties of the gluon and ghost propagators in pure Yang-Mills theories. These results are obtained from the corresponding Schwinger-Dyson equation formulated in a special…

High Energy Physics - Phenomenology · Physics 2010-12-15 Arlene C. Aguilar

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

Infrared finite solutions for the gluon propagator of pure QCD are obtained from the gauge-invariant non-linear Schwinger-Dyson equation formulated in the Feynman gauge of the background field method. These solutions may be fitted using a…

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

A longstanding question in QCD is the origin of the mass gap in the Yang-Mills sector of QCD, i.e., QCD without quarks. In Landau gauge QCD this mass gap, and hence confinement, is encoded in a mass gap of the gluon propagator, which is…

High Energy Physics - Phenomenology · Physics 2021-12-22 Gernot Eichmann , Jan M. Pawlowski , João M. Silva

Gluon mass generation is investigated for 4-dimensional $SU(N)$ Yang-Mills in conventional covariant and in background field gauges within an effective description that, through a parameterization, can be regarded as a massive gluon model,…

High Energy Physics - Phenomenology · Physics 2016-01-28 F. A. Machado

We study a manifestly gauge invariant set of Schwinger-Dyson equations to determine the nonperturbative dynamics of the gluon and ghost propagators in $d=3$ Yang-Mills. The use of the well-known Schwinger mechanism, in the Landau gauge,…

High Energy Physics - Phenomenology · Physics 2011-02-28 A. C. Aguilar , D. Binosi , J. Papavassiliou

We show that the gauge invariant treatment of the Schwinger-Dyson equations of QCD leads to an infrared finite gluon propagator, signaling the dynamical generation of an effective gluon mass, and a non-enhanced ghost propagator, in…

High Energy Physics - Phenomenology · Physics 2009-04-14 A. C. Aguilar , D. Binosi , J. Papavassiliou

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

We present the general derivation of the full nonperturbative equation that governs the momentum evolution of the dynamically generated gluon mass, in the Landau gauge. The gluon mass originates from the inclusion of longitudinally coupled…

High Energy Physics - Phenomenology · Physics 2013-01-18 Joannis Papavassiliou , David Ibanez

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 present a detailed study of the subtle interplay transpiring at the level of two integral equations that are instrumental for the dynamical generation of a gluon mass in pure Yang-Mills theories. The main novelty is the joint treatment…

High Energy Physics - Phenomenology · Physics 2018-04-04 Daniele Binosi , Joannis Papavassiliou

The study of dynamical gluon mass generation at the level of Schwinger-Dyson equation involves a delicate interplay between various field-theoretic mechanisms The underlying local gauge invariance remains intact by resorting to the…

High Energy Physics - Phenomenology · Physics 2011-07-14 Joannis Papavassiliou

We review recent work on the effects of quark loops on the gluon propagator in the Landau gauge, relying mainly on the Schwinger-Dyson equations that describe the two-point sector of QCD. Particularly important in this context is the…

High Energy Physics - Phenomenology · Physics 2014-01-21 Joannis Papavassiliou

We establish a link between the concepts of infrared renormalons, infrared fixed point, and dynamical nonperturbative mass generation of gluons in pure Yang-Mills theories. By utilizing recent results in the resurgent analysis of…

High Energy Physics - Theory · Physics 2024-05-22 Alessio Maiezza , Juan Carlos Vasquez

We propose a new reformulation of Yang-Mills theory in which three- and four-gluon self-interactions are eliminated at the price of introducing a sufficient number of auxiliary fields. We discuss the validity of this reformulation in the…

High Energy Physics - Theory · Physics 2017-08-23 K. -I. Kondo
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