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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

A recent claim that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole, is investigated analytically and numerically. This picture is shown to be…

High Energy Physics - Phenomenology · Physics 2009-01-14 D. Atkinson , J. C. R. Bloch

The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo-Ojima confinement criterion and the Gribov-Zwanziger horizon condition result from quite general properties of the ghost Dyson-Schwinger…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

A simple formal computation, and a variation on an old thought experiment, both indicate that QCD with light quarks may confine fundamental color magnetic charges, giving an explicit as well as elegant resolution to the `global color'…

High Energy Physics - Theory · Physics 2015-06-26 Alfred Scharff Goldhaber

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

In this article, we investigate the structures of the pseudoscalar mesons ($\pi$, $K$, $D$, $D_s$, $B$ and $B_s$) in the framework of the coupled rainbow Schwinger-Dyson equation and ladder Bethe-Salpeter equation with the confining…

High Energy Physics - Phenomenology · Physics 2016-09-06 Z. G. Wang , Wei-Min Yang , Shao-Long Wan

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

We solve a truncated system of coupled Dyson-Schwinger equations for the gluon and ghost propagators in SU($N_c$) Yang-Mills theories in Faddeev-Popov quantization on a four-torus. This compact space-time manifold provides an efficient mean…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , R. Alkofer , H. Reinhardt

We employ the Dyson-Schwinger equations for quark and gluon propagators in order to study QCD with 2+1 flavours at finite temperature and density. In a suitable truncation for these equations, we determine the position of the critical…

High Energy Physics - Phenomenology · Physics 2013-08-22 Jan Luecker , Christian S. Fischer , Leonard Fister , Jan M. Pawlowski

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

I review some key aspects of the ongoing progress in our understanding of the infrared dynamics of the QCD Green's functions, derived from the close synergy between Schwinger-Dyson equations and lattice simulations. Particular attention is…

High Energy Physics - Phenomenology · Physics 2015-09-02 J. Papavassiliou

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

The light-cone Hamiltonian is derived from the general gauge -- and Lorentz -- invariant expression for the $q\bar{q}$ Green's function, containing confinement via the area law for the Wilson loop.The resulting Hamiltonian contains in a…

High Energy Physics - Phenomenology · Physics 2010-11-01 A. Yu. Dubin , A. B. Kaidalov , Yu. A. Simonov

The Dyson-Schwinger equations arising from minimizing the vacuum energy density in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge are solved numerically. A new solution is presented which gives rise to a strictly linearly…

High Energy Physics - Theory · Physics 2008-11-26 D. Epple , H. Reinhardt , W. Schleifenbaum

We study the QCD equation of state and other thermodynamic observables including the isentropic trajectories and the speed of sound. These observables are of eminent importance for the understanding of experimental results in heavy ion…

High Energy Physics - Phenomenology · Physics 2023-10-31 Yi Lu , Fei Gao , Yu-Xin Liu , Jan M. Pawlowski

We summarize recent progress in soft QCD modeling based on the set of Dyson--Schwinger equations truncated to ladder-rainbow level. This covariant approach to hadron physics accommodates quark confinement and implements the QCD one-loop…

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

The generation of a momentum-dependent gluon mass proceeds through a sophisticated implementation, at the level of the Schwinger-Dyson equation for the gluon propagator, of the Schwinger mechanism, whose central dynamical ingredient is the…

High Energy Physics - Phenomenology · Physics 2011-12-02 Joannis Papavassiliou

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

Employing scalar QCD we study the gluon emission of heavy quarks created by the interaction with light quarks considered as dynamical scattering centers. We develop approximation formulas for the high energy limit and study when the full…

High Energy Physics - Phenomenology · Physics 2014-05-13 Joerg Aichelin , Pol Bernard Gossiaux , Thierry Gousset

This work employs the approach based on the Bethe-Salpeter and Dyson-Schwinger equations to study the light meson spectrum. The Dyson-Schwinger equation of the quark propagator is truncated using the Maris-Tandy model for the dressed gluon…

High Energy Physics - Phenomenology · Physics 2025-11-05 Iqra Liaqat , Faisal Akram