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Related papers: Schwinger mechanism in QCD

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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

Using a simple relativistic QFT model of scalar fields we demonstrate that the analytic confinement (propagator is an entire function in the complex $p^2$--plane) and the weak coupling constant lead to the Regge behaviour of the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ja. V. Burdanov , G. V. Efimov

In this study, we revisit the Schwinger-Dyson equation for the electron propagator in QED in three and four space-time dimensions. Our analysis addresses the non-perturbative phenomenon of dynamical chiral symmetry breaking, which requires…

High Energy Physics - Phenomenology · Physics 2025-09-17 Juan D. García-Muñoz , A. Alfaro , L. X. Gutiérrez-Guerrero , A. Raya

The action of the Schwinger mechanism in pure Yang-Mills theories endows gluons with an effective mass, and, at the same time, induces a measurable displacement to the Ward identity satisfied by the three-gluon vertex. In the present work…

High Energy Physics - Phenomenology · Physics 2023-09-01 A. C. Aguilar , M . N. Ferreira , D. Ibañez , J. Papavassiliou

Using a simple relativistic QFT model of scalar fields we demonstrate that the analytic confinement (propagator is an entire function in the complex p^2-plane) and the weak coupling constant lead to the Regge behaviour of the two-particle…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ja. V. Burdanov , G. V. Efimov

Based on the Generalized Quantum Electrodynamics expression for the Podolsky propagator, which preserves gauge invariance for massive photons, we propose a model for the massive gluon propagator that reproduces well-known features of…

High Energy Physics - Phenomenology · Physics 2021-04-21 Bruno El-Bennich , G. E. R. Zambrano , Eduardo Rojas

We convincingly argue that the true dynamical and gauge structures of the QCD ground state are much more complicated than its Lagrangian exact gauge symmetry supposes to be. The dynamical source of these complications has been identified…

High Energy Physics - Phenomenology · Physics 2021-05-11 Gergely Gábor Barnaföldi , Vakhtang Gogokhia

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

In the d=3 gluon mass problem in pure-glue non-Abelian $SU(N)$ gauge theory we pay particular attention to the observed (in Landau gauge) violation of positivity for the spectral function of the gluon propagator. This causes a large bulge…

High Energy Physics - Phenomenology · Physics 2016-02-03 John M. Cornwall

Dynamical gluon mass generation has been traditionally plagued with seagull divergences, and all regularization procedures proposed over the years yield finite but scheme-dependent gluon masses. In this work we show how such divergences can…

High Energy Physics - Phenomenology · Physics 2014-11-20 Arlene C. Aguilar , Joannis Papavassiliou

Recent progress in the solution of Schwinger-Dyson equations (SDE), as well as lattice simulation of pure glue QCD, indicate that the gluon propagator and coupling constant are infrared (IR) finite. We discuss how this non-perturbative…

High Energy Physics - Phenomenology · Physics 2011-07-14 A. A. Natale

The gluon mass generation is a purely non-perturbative effect, and the natural framework to study it in the continuum are the Schwinger-Dyson equations (SDEs) of the theory. At the level of the SDEs the generation of such a mass is…

High Energy Physics - Phenomenology · Physics 2016-06-22 C. T. Figueiredo , A. C. Aguilar

These lecture notes illustrate the application of Dyson-Schwinger equations in QCD. The extensive body of work at zero temperature and chemical potential is represented by a selection of contemporary studies that focus on solving the…

Nuclear Theory · Physics 2010-03-04 Craig D. Roberts

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 in detail the impact of dynamical quarks on the gluon mass generation mechanism, in the Landau gauge, for the case of a small number of quark families. As in earlier considerations, we assume that the main bulk of the unquenching…

High Energy Physics - Phenomenology · Physics 2013-10-17 A. C. Aguilar , D. Binosi , J. 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 convincingly argue that the true dynamical and gauge structure of the QCD ground state is much more complicated than its Lagrangian exact gauge symmetry supposes to be. The dynamical source of these complications has been identified with…

High Energy Physics - Theory · Physics 2026-03-30 Vakhtang Gogokhia , Gergely Gábor Barnaföldi

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

In this talk, we review some of the current efforts to understand the phenomenon of chiral symmetry breaking and the generation of a dynamical quark mass. To do that, we will use the standard framework of the Schwinger-Dyson equations. The…

High Energy Physics - Phenomenology · Physics 2018-08-10 A. C. Aguilar , M. N. Ferreira

The temperature dependence of the kinetic coefficients is obtained in the non-perturbative region with the help of Green-Kubo-type formulae in the model of massive gluon gas motivated by numerical results from simulations of lattice QCD.…

High Energy Physics - Phenomenology · Physics 2010-11-01 J. Cleymans , S. V. Ilyun , S. A. Smolyansky , G. M. Zinovjev