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Related papers: The Quark-Gluon Vertex and the QCD Infrared Dynami…

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We develop a novel approach for the self-consistent solution of coupled sets of Bethe-Salpeter and Schwinger-Dyson equations in QCD. This framework allows us to maintain the axial Ward-Takahashi identities of the theory within advanced…

High Energy Physics - Phenomenology · Physics 2025-09-30 Angel. S. Miramontes , Jose M. Morgado Chavez , Joannis Papavassiliou , Jan M. Pawlowski

The quark-gluon vertex in Landau gauge is studied in the quenched approximation using the Sheikholeslami-Wohlert (SW) fermion action with mean-field improvement coefficients in the action and for the quark fields. We see that the form…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jonivar Skullerud , Ayse Kizilersu

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

The electromagnetic interaction with quarks is investigated through a relativistic, electromagnetic gauge-invariant treatment. Gluon dressing of the quark-photon vertex and the quark self-energy functions is described by the inhomogeneous…

Nuclear Theory · Physics 2009-09-25 Michael R. Frank

Kinetic equations for quarks and gluons are solved numerically in the relaxation time approximation for the case of one-dimensional boost-invariant geometry. Quarks are massive and described by the Fermi-Dirac statistics, while gluons are…

High Energy Physics - Phenomenology · Physics 2018-03-07 Wojciech Florkowski , Ewa Maksymiuk , Radoslaw Ryblewski

A lattice QCD calculation for the four gluon one-particle irreducible Green function in the Landau gauge is discussed. Results for some of the associated form factors are reported for kinematical configurations with a single momentum scale.…

High Energy Physics - Lattice · Physics 2024-01-23 Manuel Colaço , Orlando Oliveira , Paulo J. Silva

By comparing successful quark-gluon vertex interaction models with the corresponding interaction extracted from lattice-QCD data on the quark's propagator, we identify common qualitative features which could be important to tune future…

High Energy Physics - Phenomenology · Physics 2015-09-30 E. Rojas , B. El-Bennich , J. P. B. C. De Melo , M. Ali Paracha

To study meson properties, one needs to solve the gap equation for the quark propagator and the Bethe-Salpeter (BS) equation for the meson wavefunction, self-consistently. The gluon propagator, the quark-gluon vertex, and the…

Nuclear Theory · Physics 2016-04-20 Si-xue Qin

The effect of transverse gluons on the chiral symmetry patterns of excited mesons is studied in a Coulomb gauge QCD model. The linear rising static quark-antiquark potential and the transverse gluon propagator known from lattice studies are…

High Energy Physics - Phenomenology · Physics 2014-03-11 M. Pak , L. Ya. Glozman

Resummation of the soft gluon radiative corrections for the quark-vector boson vertex is performed within the path-integral (world-line) approach. The leading order expression for the vacuum averaged Wilson integral for an arbitrary gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor O. Cherednikov

We report on preliminary results for the triple-gluon and the quark-gluon vertex in Landau gauge. Our results are based on two-flavor and quenched lattice QCD calculations for different quark masses, lattice spacings and volumes. We discuss…

We present a nonperturbative study of the form factor associated with the projection of the full four-gluon vertex on its classical tensor, for a set of kinematics with one vanishing and three arbitrary external momenta. The treatment is…

High Energy Physics - Phenomenology · Physics 2024-08-13 A. C. Aguilar , F. De Soto , M. N. Ferreira , J. Papavassiliou , F. Pinto-Gómez , J. Rodríguez-Quintero , L. R. Santos

Based on a recent manifestly covariant time-ordered approach to the relativistic many-body problem, the quark propagator is defined by a nonlinear Dyson--Schwinger-type integral equation, with a one-gluon loop. The resulting…

Nuclear Theory · Physics 2009-10-28 Helmut Haberzettl

*REVISED VERSION* Two quark propagators with different analytic structure are employed in on and off mass-shell Bethe-Salpeter type equations for the pion and scalar diquark form-factors. One of the quark propagators has been calculated…

High Energy Physics - Phenomenology · Physics 2009-10-22 Samuel J. Stainsby , Reginald T. Cahill

We discuss the pure gauge Schwinger-Dyson equation for the gluon propagator in the Landau gauge within an approximation proposed by Mandelstam many years ago. We show that a dynamical gluon mass arises as a solution. This solution is…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. C. Aguilar , A. A. Natale

The ghost-gluon scattering kernel is a special correlation function that is intimately connected with two fundamental vertices of the gauge sector of QCD: the ghost-gluon vertex, which may be obtained from it through suitable contraction,…

High Energy Physics - Phenomenology · Physics 2019-03-11 A. C. Aguilar , M. N. Ferreira , C. T. Figueiredo , J. Papavassiliou

The quark mass function is computed both by solving the quark propagator Dyson-Schwinger equation and from lattice simulations implementing overlap and Domain-Wall fermion actions for valence and sea quarks, respectively. The results are…

High Energy Physics - Lattice · Physics 2021-12-01 Lei Chang , Yu-Bin Liu , Khépani Raya , J. Rodríguez-Quintero , Yi-Bo Yang

We explore the dynamical mechanism for generating the infrared singular quark-gluon vertex and quark confinement based on the gauge invariance in covariant-gauge quantum chromodynamics(QCD). We first derive the gauge-invariance constraint…

High Energy Physics - Phenomenology · Physics 2013-12-16 Han-Xin He , Yu-Xin Liu

We study the gluon sector in pure Yang-Mills theories via the computation of two, three and four point Landau gauge gluon correlation functions via LQCD using the Wilson action for Monte-Carlo simulations. The first goal was to use lattice…

High Energy Physics - Lattice · Physics 2021-01-18 Guilherme Telo R. Catumba

We report on a novel and extensive lattice QCD analysis for the three-gluon vertex from quenched lattice-QCD simulations. Using standard Wilson action, we have computed the three-gluon vertex beyond the usual kinematic restriction to the…

High Energy Physics - Lattice · Physics 2023-01-11 F. Pinto-Gomez , F. de Soto