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Related papers: Analyzing dynamical gluon mass generation

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We have explicitly shown that QCD is the color gauge invariant theory at non-zero mass gap as well. It has been defined as the value of the regularized full gluon self-energy at some finite point. The mass gap is mainly generated by the…

High Energy Physics - Phenomenology · Physics 2009-12-07 V. Gogokhia

It is widely accepted nowadays that gluons, while massless at the level of the fundamental QCD Lagrangian,acquire an effective mass through the non-Abelian implementation of the classic Schwinger mechanism. The key dynamical ingredient that…

High Energy Physics - Phenomenology · Physics 2022-11-09 J. Papavassiliou

We present a novel method for computing the nonperturbative kinetic term of the gluon propagator from an exactly solvable ordinary differential equation, whose origin is the fundamental Slavnov-Taylor identity satisfied by the three-gluon…

High Energy Physics - Phenomenology · Physics 2021-02-03 A. C. Aguilar , M. N. Ferreira , J. Papavassiliou

We construct a general Ansatz for the three-particle vertex describing the interaction of one background and two quantum gluons, by simultaneously solving the Ward and Slavnov-Taylor identities it satisfies. This vertex is known to be…

High Energy Physics - Phenomenology · Physics 2015-03-19 Daniele Binosi , Joannis Papavassiliou

We have recently introduced a new implementation of the Feynman gauge on the lattice, based on a minimizing functional that extends in a natural way the Landau-gauge case, while preserving all the properties of the continuum formulation.…

High Energy Physics - Lattice · Physics 2015-05-27 Attilio Cucchieri , Tereza Mendes , Gilberto M. Nakamura e Elton M. S. Santos

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

We investigate the finite-temperature structure of ghost and gluon propagators within an approach based on the rainbow truncated Dyson-Schwinger equations in Landau gauge. The method, early used for modeling the quark, ghost and gluon…

High Energy Physics - Phenomenology · Physics 2022-12-15 L. P. Kaptari

The Schwinger-Dyson quark equation (SDE) combined with results from lattice simulation for the propagators are used to obtain information on the quark-gluon vertex, taking into account the recent full QCD lattice results for the soft-gluon…

High Energy Physics - Phenomenology · Physics 2020-06-11 Orlando Oliveira , Tobias Frederico , Wayne de Paula

We use a light-cone approach to solve the Schwinger-Dyson equation for the quark propagator. We show how this method can be used to solve the equation beyond the space-like region, to which one is usually restricted with the usual…

High Energy Physics - Phenomenology · Physics 2009-11-07 L. S. Kisslinger , O. Linsuain

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

In this work we use two different but complementary approaches in order to study the ghost propagator of a pure SU(3) Yang-Mills theory quantized in the linear covariant gauges, focusing on its dependence on the gauge-fixing parameter $\xi$…

High Energy Physics - Phenomenology · Physics 2015-04-16 A. C. Aguilar , D. Binosi , J. Papavassiliou

We summarise results on the infrared behaviour of Landau gauge QCD from the Green's functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , F. Llanes-Estrada , R. Alkofer

In this work we consider a coupled system of Schwinger-Dyson equations for self-energy and vertex functions in QED_3. Using the concept of a semi-amputated vertex function, we manage to decouple the vertex equation and transform it in the…

High Energy Physics - Theory · Physics 2009-10-31 N. E. Mavromatos , J. Papavassiliou

We calculate the spectrum of gluons sourced by the branching of an energetic quark in the presence of an inhomogeneous QCD medium, focusing on the soft radiation limit. We take into account multiple soft interactions between the partons and…

High Energy Physics - Phenomenology · Physics 2024-02-06 João Barata , Xoán Mayo López , Andrey V. Sadofyev , Carlos A. Salgado

We discuss the properties of ghost and gluon propagators in the deep infrared momentum region of Landau gauge Yang-Mills theory. Within the framework of Dyson-Schwinger equations and the functional renormalization group we demonstrate that…

High Energy Physics - Phenomenology · Physics 2010-04-30 Christian S. Fischer , Axel Maas , Jan M. Pawlowski

The dynamics of the gauge sector of QCD give rise to nonperturbative phenomena that are crucial for the internal consistency of the theory; most notably, they account for the generation of a gluon mass through the action of the Schwinger…

High Energy Physics - Phenomenology · Physics 2023-05-11 M. N. Ferreira , J. Papavassiliou

We present recent results for the Landau-gauge gluon and ghost propagators in SU(3) lattice gluodynamics obtained on a sequence of lattices with linear extension ranging from L=64 to L=96 at $\beta = 5.70$, thus reaching "deep infrared"…

High Energy Physics - Lattice · Physics 2009-05-18 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

We study the finite-temperature phase of a gluon ensemble in a variational approximation to QCD in the Coulomb gauge. We derive and numerically solve the underlying Dyson-Schwinger equations up to one-loop order. Assuming the subcritical…

High Energy Physics - Theory · Physics 2011-11-10 Hugo Reinhardt , Davide R. Campagnari , Adam P. Szczepaniak

A solvable systematic truncation scheme for the Dyson-Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov-Taylor identities for the three-gluon and ghost-gluon vertices, whereas irreducible…

High Energy Physics - Phenomenology · Physics 2009-07-09 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

A non-linear Schwinger-Dyson (SD) equation for the gauge boson propagator of massless QED in one time and two spatial dimensions is studied. It is shown that the nonperturbative solution leads to a nontrivial renormalization-group infrared…

High Energy Physics - Phenomenology · Physics 2009-10-31 Valery Gusynin , Anthony Hams , Manuel Reenders