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The interquark static potential for heavy mesons described by a massive One Gluon Exchange interaction obtained from the propagator of the truncated Dyson-Schwinger equations does not reproduced the expected Cornell potential. I show that…

High Energy Physics - Phenomenology · Physics 2015-06-05 Vicente Vento

The leading-twist parton distribution functions of the pion and kaon are calculated for the first time using a rainbow-ladder truncation of QCD's Dyson-Schwinger equations (DSEs) that self-consistently sums all planar diagrams. The…

Nuclear Theory · Physics 2020-02-05 Kyle D. Bednar , Ian C. Cloët , Peter C. Tandy

Recent progress in modeling QCD for hadron physics through truncated Dyson-Schwinger equations is reviewed. Special emphasis is put upon comparison of dressed quark propagators and the dressed quark-gluon vertex with lattice-QCD results.

Nuclear Theory · Physics 2009-11-10 P. C. Tandy

The QCD-motivated constituent string model is extended to consider the baryon. The system of three quarks propagating in the confining background field is studied in the Wilson loop approach, and the effective action is obtained. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. S. Kalashnikova , A. V. Nefediev

The chirally unbroken and the superconducting 2SC and CFL phases are investigated in the chiral limit within a Dyson-Schwinger approach for the quark propagator in QCD. The hierarchy of Green's functions is truncated such that at vanishing…

High Energy Physics - Phenomenology · Physics 2009-11-11 Dominik Nickel , Jochen Wambach , Reinhard Alkofer

We study the quark-gluon vertex in the limit of vanishing gluon momentum using lattice QCD with 2 flavors of O(a) improved Wilson fermions, for several lattice spacings and quark masses. We find that all three form factors in this…

High Energy Physics - Lattice · Physics 2021-07-07 Ayşe Kızılersü , Orlando Oliveira , Paulo J. Silva , Jon-Ivar Skullerud , André Sternbeck

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

Recently, a theoretical framework was set up in [1], which allows for the symmetry-preserving inclusion of full quark-gluon vertices in the description of the meson dynamics. In the present work, we develop a special truncation within this…

High Energy Physics - Phenomenology · Physics 2025-12-05 Mauricio N. Ferreira , Angel S. Miramontes , Jose M. Morgado , Joannis Papavassiliou , Jan M. Pawlowski

We construct a model for the quark-gluon vertex of Landau gauge QCD. This is of twofold interest: on the one hand the quark-gluon interaction is at the heart of quark confinement, on the other hand it is a central element in hadron…

High Energy Physics - Phenomenology · Physics 2007-05-23 Felipe J. Llanes-Estrada , Christian S. Fischer , Reinhard Alkofer

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

The Dyson-Schwinger quark equation is solved for the quark-gluon vertex using the most recent lattice data available in the Landau gauge for the quark, gluon and ghost propagators, the full set of longitudinal tensor structures in the…

High Energy Physics - Phenomenology · Physics 2019-02-20 O. Oliveira , W. de Paula , T. Frederico , J. P. B. C de Melo

We perform a study of the non-perturbative dynamics of the light-quark sector of QCD, based on some recent results of lattice simulations with chiral fermions. We analyze some correlators that are designed to probe the Dirac structure of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Pietro Faccioli , Thomas A. DeGrand

I revue the so called Wilson loop approach to bound state problem in QCD. I shall show how using appropriate path integral representations for the quark propagator in an external field it is possible to obtain corresponding path integral…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. M. Prosperi

We present a covariant approach to describe the low--lying scalar, pseudoscalar, vector and axialvector mesons as quark--antiquark bound states.This approach is based on an effective interaction modeling of the non--perturbative structure…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Weigel , R. Alkofer , P. Watson

A model for the dressed quark-gluon vertex, at zero gluon momentum, is formed from a nonperturbative extension of the two Feynman diagrams that contribute at 1-loop in perturbation theory. The required input is an existing ladder-rainbow…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. S. Bhagwat , P. C. Tandy

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 compute the 1-loop vertex function of the QCD coupling in the presence of an ultra intense magnetic field. From the vertex function, we extract the effective coupling and show that it grows with increasing magnetic field. We consider the…

High Energy Physics - Phenomenology · Physics 2024-03-22 Gabriela Fernández , Luis A. Hernández , R. Zamora

We obtain the light meson mass spectroscopy from the light-front quantum chromodynamics (QCD) Hamiltonian, determined for their constituent quark-antiquark and quark-antiquark-gluon Fock components, together with a three-dimensional…

High Energy Physics - Phenomenology · Physics 2022-01-17 Jiangshan Lan , Kaiyu Fu , Chandan Mondal , Xingbo Zhao , james P. Vary

The scalar isovector meson propagator is studied in quenched QCD. For the lightest quark masses used, this propagator is dominated by a quenched chiral loop effect associated with the $\eta'$-$\pi$ two-meson intermediate state. Both the…

High Energy Physics - Lattice · Physics 2014-11-17 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

Nuclear Theory · Physics 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal