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In this article we use the Schwinger-Dyson equations to compute the nonperturbative modifications caused to the infrared finite gluon propagator (in the Landau gauge) by the inclusion of a small number of quark families. Our basic operating…

High Energy Physics - Phenomenology · Physics 2015-06-04 A. C. Aguilar , D. Binosi , J. Papavassiliou

We solve the coupled Dyson-Schwinger equations for quark propagator and quark gluon vertex in the Nambu-Gorkov basis which is widely applied to study the color superconductivity. After considering the non-Abelian feature in the off-diagonal…

High Energy Physics - Phenomenology · Physics 2024-03-26 Fei Gao , Yi Lu , Yu-Xin Liu

We study abelian dominance and monopole condensation for the quark confinement physics using the lattice QCD simulations in the MA gauge. These phenomena are closely related to the dual superconductor picture of the QCD vacuum, and enable…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Koma , H. Suganuma , K. Amemiya , M. Fukushima , H. Toki

In this contribution to the proceedings, we analyze the transition from perturbative and non- perturbative QCD embedded in the coupling constant. In the study of quark-hadron duality, we suggest that the realization of the latter is related…

High Energy Physics - Phenomenology · Physics 2013-12-04 A. Courtoy

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. It can be proven that the ghost Dyson-Schwinger equation implies the Gribov-Zwanziger horizon condition. Its relation to the Kugo-Ojima…

High Energy Physics - Phenomenology · Physics 2008-11-26 Reinhard Alkofer

An effective Lagrangian approach to describe the dynamics of confinement and symmetry breaking in the process of quark-gluon to hadron conversion is proposed. The deconfined quark and gluon degrees of freedom of the perturbative QCD vacuum…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Geiger

Employing functional approaches the infrared behaviour of Landau gauge QCD vertex functions is investigated. Results for the ghost-gluon, three-gluon and quark-gluon vertex functions are presented. As can be analytically shown a linear…

High Energy Physics - Phenomenology · Physics 2008-11-26 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada , Kai Schwenzer

We study the self-consistency problem of the generalized Feynman rule (nonperturbatively modified vertex of zeroth perturbative order) for the 4-gluon vertex function in the framework of an extended perturbation scheme accounting for…

High Energy Physics - Theory · Physics 2009-10-31 L. Driesen , M. Stingl

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 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

Motivated by the gluon condensate in QCD we study the perturbative expansion of a gauge theory in the presence of gauge bosons of vanishing momentum, in the specific case of an abelian theory. The background is characterised by a…

High Energy Physics - Phenomenology · Physics 2010-10-27 Dennis D. Dietrich , Paul Hoyer , Matti Jarvinen , Stephane Peigne

We investigate the perturbative and non-perturbative aspects of heavy quark transport in a thermal QCD medium. Based on the Soft-Hard Factorized Model (SHFM), we extend the original perturbative framework to the near-critical temperature…

High Energy Physics - Phenomenology · Physics 2025-10-14 Jiazhen Peng , Jiale Lou , Fei Sun , Kejun Wu , Wei Xie , Zuman Zhang , Shuang Li , Sa Wang

We summarize recent results on the nonperturbative quark-gluon interaction in Landau gauge QCD. Our analytical analysis of the infrared behaviour of the quark-gluon vertex reveals infrared singularities, which lead to an infrared divergent…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer , Felipe J. Llanes-Estrada , Kai Schwenzer

This PhD dissertation is devoted to a non-perturbative study of QCD correlators. The main tool that we use is lattice QCD. We concentrated our efforts on the study of the main correlators of the pure Yang - Mills theory in the Landau gauge,…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov

I introduce and explore a range of topics of contemporary interest in hadronic physics: from what drives the formation of a nonzero quark condensate to the effect that mechanism has on light and heavy meson form factors, and the properties…

Nuclear Theory · Physics 2007-05-23 Craig D. Roberts

We present a practical method for the solution of the quark-gluon vertex for use in Bethe--Salpeter and Dyson--Schwinger calculations. The efficient decomposition into the necessary covariants is detailed, with the numerical algorithm…

High Energy Physics - Phenomenology · Physics 2015-06-11 Richard Williams

We present results for the QCD running coupling obtained from measuring the quark-gluon vertex in Landau gauge with suitable renormalisation conditions. The issue of discretisation errors arising from the fermion action is discussed.

High Energy Physics - Lattice · Physics 2008-11-26 J. I. Skullerud

2-color QCD, i. e. QCD with the gauge group SU(2), is the simplest non-Abelian gauge theory without sign problem at finite quark density. Therefore its study on the lattice is a benchmark for other non-perturbative approaches at finite…

High Energy Physics - Lattice · Physics 2018-04-18 Ouraman Hajizadeh , Tamer Boz , Axel Maas , Jon-Ivar Skullerud

Lattice-based investigations of two fundamental QCD quantities are described, namely the gluon and quark propagators in Landau gauge. We have studied the Landau gauge gluon propagator using a variety of lattices with spacings from a = 0.17…

High Energy Physics - Phenomenology · Physics 2017-08-23 Anthony G. Williams , Frederic D. R. Bonnet , Patrick O. Bowman , Derek B. Leinweber , Jon Ivar Skullerud , James M. Zanotti

We compute the quark-gluon vertex in quenched QCD, in the Landau gauge using an off-shell mean-field O(a)-improved fermion action. The running coupling is calculated in an `asymmetric' momentum subtraction scheme (MOM~). We obtain a crude…

High Energy Physics - Lattice · Physics 2010-03-04 J. Skullerud , A. Kizilersu , A. G. Williams

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