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In our previous publication [1-3] it has been proven that the general iteration solution of the Shwinger-Dyson equation for the full gluon propagator (i.e., when the skeleton loop integrals, contributing into the gluon self-energy, have to…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

We have unambiguously established the dynamical source of the mass scale parameter (the mass gap) responsible for the large scale structure of the true QCD vacuum. At the microscopic, Lagrangian level it is the nonlinear fundamental…

High Energy Physics - Theory · Physics 2009-11-10 V. Gogohia

Lattice simulations along with studies in continuum QCD indicate that non-perturbative quantum fluctuations lead to an infrared regularisation of the gluon propagator in covariant gauges in the form of an effective mass-like behaviour. In…

High Energy Physics - Phenomenology · Physics 2022-01-25 Jan Horak , Friederike Ihssen , Joannis Papavassiliou , Jan M. Pawlowski , Axel Weber , Christof Wetterich

We investigate Landau gauge $SU(3)$ Yang-Mills theory in a systematic vertex expansion scheme for the effective action with the functional renormalisation group. Particular focus is put on the dynamical creation of the gluon mass gap at…

High Energy Physics - Phenomenology · Physics 2016-09-12 Anton K. Cyrol , Leonard Fister , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

We decompose the quark propagator in the presence of an arbitrary gluon field with respect to a set of Dirac matrices. The four-dimensional integrals which arise in first order perturbation theory are rewritten as line-integrals along…

High Energy Physics - Phenomenology · Physics 2009-01-07 D. Gromes

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

In this study, we present a perturbative analysis of the three-gluon vertex for a kinematical symmetric configuration in dimension $n=4-2\epsilon$ and different covariant gauges.Our study can describe the form factors of the three gluon…

High Energy Physics - Phenomenology · Physics 2024-09-11 A. Alfaro , L. X. Gutiérrez Guerrero , L. Albino , A. Raya

We propose a quasi-particle model for the thermodynamic description of the gluon plasma which takes into account non-abelian characteristics of the gluonic field. This is accomplished utilizing massive non-linear plane wave solutions of the…

High Energy Physics - Phenomenology · Physics 2016-12-16 E. P. Politis , C. E. Tsagkarakis , F. K. Diakonos , X. N. Maintas , A. Tsapalis

We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume…

High Energy Physics - Lattice · Physics 2009-10-31 J. P. Ma

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

The Lorentz-invariant gluon correlation functions, corresponding to scalar and pseudo-scalar glueballs, are calculated for Kogan's and Kovner's variational ansatz for the pure SU(N) Yang-Mills wavefunctional. One expects that only one…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. M. Gripaios

The implementation of the linear covariant gauge on the lattice faces a conceptual problem: using the standard compact discretization, the gluon field is bounded, while the four-divergence of the gluon field satisfies a Gaussian…

High Energy Physics - Lattice · Physics 2011-02-28 Attilio Cucchieri , Tereza Mendes , Gilberto M. Nakamura , Elton M. S. Santos

We study a recently proposed gauge invariant, non-local pure gauge observable, which is equivalent to the gluon propagator in a certain gauge. The correlator describes a gluon coupled to static sources and decays with eigenvalues of the…

High Energy Physics - Lattice · Physics 2009-11-07 O. Philipsen

We discuss the current state of what is known non-perturbatively about the gluon propagator in QCD, with emphasis on the information coming from lattice simulations. We review the specification of the lattice Landau gauge and the procedure…

High Energy Physics - Lattice · Physics 2015-06-25 Jeffrey E. Mandula

Gluon, ghost, and quark propagators are computed in the Schwinger-Dyson formalism. The full set of one-loop and two-loop contributions to the gap equations are evaluated for the first time. A new and efficient method for dealing with…

High Energy Physics - Phenomenology · Physics 2014-09-05 Joseph Meyers , Eric S. Swanson

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

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

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

Over the past years, there has been a sustained effort to systematically enhance our understanding of medium-induced emissions occurring in the quark-gluon plasma, driven by the ultimate goal of advancing our comprehension of jet quenching…

High Energy Physics - Phenomenology · Physics 2024-11-18 Carlota Andres , Liliana Apolinário , Fabio Dominguez , Marcos Gonzalez Martinez

In this poster we present a few preliminary results obtained using our method to fix generic covariant gauges on the lattice. We have computed the gluon propagator and we have found a sensitive dependence on the gauge parameter.

High Energy Physics - Lattice · Physics 2007-05-23 L. Giusti , M. L. Paciello , S. Petrarca , B. Taglienti