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We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD. We use a non-Gaussian vacuum wave functional which includes the coupling of the quarks to the spatial gluons. The expectation…

High Energy Physics - Phenomenology · Physics 2020-01-08 Davide Campagnari , Hugo Reinhardt

We relate quark confinement, as measured by the Polyakov-loop order parameter, to color confinement, as described by the Kugo-Ojima/Gribov-Zwanziger scenario. We identify a simple criterion for quark confinement based on the IR behaviour of…

High Energy Physics - Theory · Physics 2010-02-17 Jens Braun , Holger Gies , Jan M. Pawlowski

After introducing essential, qualitative concepts and results, we discuss the application of Dyson-Schwinger equations to QCD at finite T and mu. We summarise the calculation of the critical exponents of two-light-flavour QCD using the…

Nuclear Theory · Physics 2010-03-04 David Blaschke , Craig D. Roberts

As has been recently realized, a certain two-point function $\Lambda$ -- and its associated form factors G and L -- play a prominent role in the PT-BFM formulation of the Schwinger-Dyson equations used to study gauge-invariantly the gluon…

High Energy Physics - Phenomenology · Physics 2015-05-20 Daniele Binosi

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon and ghost propagators of Landau gauge QCD is solved within truncation schemes. These employ bare as well as non-perturbative ansaetze for the vertices such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer

We deliver a new scheme to compute the quark propagator and the quark-gluon interaction vertex through the coupled Dyson-Schwinger equations (DSEs) of QCD. We take the three-gluon vertex into account in our calculations, and implement the…

High Energy Physics - Phenomenology · Physics 2019-09-11 Can Tang , Fei Gao , Yu-xin Liu

Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions; and the transition to, and…

Nuclear Theory · Physics 2016-05-25 C. D. Roberts , S. M. Schmidt

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

Using a system of the corresponding Schwinger-Dyson equations of motion, a pure dynamical theory of quark confinement and spontaneous breakdown of chiral symmetry is formulated. It is based on dominated in the QCD vacuum self-interaction of…

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

In this review paper the QCD vacuum properties and the structure of color fields in hadrons are studied using the complete set of gauge-invariant correlators of gluon fields. Confinement in QCD is produced by the correlators of some certain…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. S. Kuzmenko , V. I. Shevchenko , Yu. A. Simonov

Physics is an experimental science; and a constructive feedback between theory and extant and forthcoming experiments is necessary if an understanding of nonperturbative QCD is to be achieved. The Dyson-Schwinger equations connect…

Nuclear Theory · Physics 2012-01-20 Lei Chang , Craig D. Roberts , David J. Wilson

This is the second of the two last papers by V. N. Gribov concluding his 20 year long study of the problem of quark confinement in QCD. In this paper the analytic structure of quark and gluon Green's functions is investigated in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. N. Gribov

An overview of the theory and phenomenology of hadrons and QCD is provided from a Dyson-Schwinger equation viewpoint. Following a discussion of the definition and realisation of light-quark confinement, the nonperturbative nature of the…

Nuclear Theory · Physics 2008-11-26 C. D. Roberts

The infrared behavior of the gluon propagator is directly related to confinement in QCD. Indeed, the Gribov-Zwanziger scenario of confinement predicts an infrared vanishing (transverse) gluon propagator in Landau-like gauges, implying…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Axel Maas , Tereza Mendes

The effective coupling of QCD is measured by using the gauge configurations produced by the MILC collaboration in which the Kogut Susskind (KS) fermion is incorporated and by using that produced by the QCDOC collaboration in which the…

High Energy Physics - Lattice · Physics 2008-11-26 Sadataka Furui , Hideo Nakajima

The low momentum behavior of the Landau gauge Gribov-Zwanziger action is investigated using the respective Dyson-Schwinger equations. Because of the mixing of the gluon and the auxiliary fields four scenarios can be distinguished for the…

High Energy Physics - Theory · Physics 2010-04-06 Markus Q. Huber , Reinhard Alkofer , Silvio P. Sorella

QCD perturbation theory ignores the compact nature of $SU(3)$ gauge group that gives rise to the periodic $\theta$-vacuum of the theory. We propose to modify the gluon propagator to reconcile perturbation theory with the anomalous Ward…

High Energy Physics - Phenomenology · Physics 2015-06-24 Dmitri E. Kharzeev , Eugene M. Levin

We study the non-perturbative behavior of two versions of the QCD effective charge, one obtained from the pinch technique gluon self-energy, and one from the ghost-gluon vertex. Despite their distinct theoretical origin, due to a…

High Energy Physics - Phenomenology · Physics 2009-10-29 A. C. Aguilar , D. Binosi , J. Papavassiliou , J. Rodriguez-Quintero

Color confinement and chiral symmetry specify some important territory for the study of hadronic physics. Any hadron can be defined as a color-singlet composite system of qurks and gluons, the fundamental fields of qcd, while the landscape…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dennis Sivers

Analytical functions for the propagators of QCD, including a set of chiral quarks, are derived by a one-loop massive expansion in the Landau gauge, deep in the infrared. By analytic continuation, the spectral functions are studied in…

High Energy Physics - Phenomenology · Physics 2017-01-04 Fabio Siringo
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