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The quark-gluon vertex in Landau gauge QCD is investigated in the Dyson-Schwinger approach. The aim is to obtain a fully self-consistent solution of the quark propagator and the quark-gluon vertex Dyson-Schwinger equation (DSE) in the…

High Energy Physics - Phenomenology · Physics 2012-11-01 Andreas Windisch , Markus Hopfer , Reinhard Alkofer

The coupled system of the quark-gluon vertex and quark propagator Dyson-Schwinger equations (DSEs) is investigated within Landau gauge QCD. The aim is to get a deeper insight into the mechanisms of quark confinement and dynamical chiral…

High Energy Physics - Phenomenology · Physics 2013-01-17 Markus Hopfer , Andreas Windisch , Reinhard Alkofer

We report on the first self-consistent solution of the Dyson-Schwinger equation (DSE) for the three-gluon vertex. Based on earlier results for the propagators which match data from lattice Monte-Carlo simulations, we obtain results for the…

High Energy Physics - Phenomenology · Physics 2014-04-02 Adrian L. Blum , Markus Q. Huber , Mario Mitter , Lorenz von Smekal

Recent lattice-QCD results for the dressed-gluon propagator are used within the quark Dyson-Schwinger equation to determine the gluon-quark vertex dressing necessary to reproduce the lattice-QCD results for the dressed-quark propagator.…

Nuclear Theory · Physics 2009-11-11 M. S. Bhagwat , P. C. Tandy

We extend recent studies of the effects of quark-gluon vertex dressing upon the solutions of the Dyson-Schwinger equation for the quark propagator. A momentum delta function is used to represent the dominant infrared strength of the…

Nuclear Theory · Physics 2008-11-26 Hrayr H. Matevosyan , Anthony W. Thomas , Peter C. Tandy

Within the framework of the Dyson-Schwinger equations in the axial gauge, we study the effect that non-perturbative glue has on the quark propagator. We show that Ward-Takahashi identities, combined with the requirement of matching…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. R. Cudell , A. J. Gentles , D. A. Ross

We investigate the universality of truncation schemes for Dyson-Schwinger equations developed for quantum chromodynamics in theories which differ from quantum chromodynamics only in the gauge group. Our specific choices are the gauge groups…

High Energy Physics - Phenomenology · Physics 2017-10-11 Romain Contant , Markus Q. Huber

Using the previously derived confining gluon propagator, the corresponding system of equations determining the quark propagator is derived. The system of equations consists of the Schwinger-Dyson equation for the quark propagator itself,…

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

With decades of years development, although important progresses have been made by the pioneers of this field, providing a sophisticated truncation scheme is still a great challenge up to now if the Dyson-Schwinger Equations(DSEs) of both…

Nuclear Theory · Physics 2021-10-29 Bin Wang

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 investigate the dressed quark-gluon vertex combining two established non-perturbative approaches to QCD: the Dyson-Schwinger equation (DSE) for the quark propagator and lattice-regularized simulations for the quark, gluon and ghost…

High Energy Physics - Phenomenology · Physics 2015-06-16 E. Rojas , J. P. B. C. de Melo , B. El-Bennich , O. Oliveira , T. Frederico

We propose a chemical potential dependent effective gluon propagator and study the chiral quark condensate in strongly interacting matter in the framework of Dyson-Schwinger equation approach. The obtained results manifest that, as the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lei Chang , Huan Chen , Bin Wang , Wei Yuan , Yu-xin Liu

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

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

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

The Dyson-Schwinger equation for the quark self energy is solved in rainbow approximation using an infrared (IR) vanishing gluon propagator that introduces an IR mass scale $b$. There exists a $b$ dependent critical coupling indicating the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Axel Bender , Reinhard Alkofer

We investigate the impact of unquenching effects on QCD Green's functions, in the form of quark-loop contributions to both the gluon propagator and three-gluon vertex, in a three-loop inspired truncation of the three-particle irreducible…

High Energy Physics - Phenomenology · Physics 2016-02-24 Richard Williams , Christian S. Fischer , Walter Heupel

Based on a suitable basis system for the quark-gluon vertex' transverse tensor structures and on carefully chosen kinematical variables, the transverse part of the quark-gluon vertex in quenched QCD in the Landau gauge is obtained from a…

High Energy Physics - Phenomenology · Physics 2026-04-23 Georg Wieland , Reinhard Alkofer

Recently the quark-gluon vertex has been investigated in Landau gauge using a combined Dyson-Schwinger and nPI effective action approach. We present here a numerical analysis of a simpler system where the quarks have been replaced by…

High Energy Physics - Phenomenology · Physics 2013-04-17 Markus Hopfer , Reinhard Alkofer

A representative but not exhaustive review of the Schwinger-Dyson equation (SDE) approach to the nonperturbative study of QCD is presented. The main focus is the SDE for the quark self energy but studies of the gluon propagator and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Craig D. Roberts
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