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Quantum Chromodynamics (QCD) is a firmly established part of the Standard Model, yet its long distance properties remain challenging at a conceptual level. In recent years significant experimental and theoretical progress has been made…

High Energy Physics - Phenomenology · Physics 2009-11-07 Paul Hoyer

We review recent progress in modeling the quark-gluon content of mesons and their low-energy interactions through the Global Color Model field theory. An emphasis is placed on techniques that are shared with the approach based on…

Nuclear Theory · Physics 2009-10-30 P. C. Tandy

We provide an inkling of recent progress in hadron physics made using QCD's Dyson-Schwinger equations, reviewing: the notion of in-hadron condensates and a putative solution of a gross problem with the cosmological constant; a…

Nuclear Theory · Physics 2015-05-27 I. C. Cloet , C. D. Roberts , D. J. Wilson

QCD, the theory of the strong interactions, involves quarks interacting with non-Abelian gluon fields. This theory has many features that are difficult to impossible to see in conventional diagrammatic perturbation theory. This includes…

High Energy Physics - Phenomenology · Physics 2021-09-01 Michael Creutz

We summarise applications of Dyson-Schwinger equations to the theory and phenomenology of hadrons. Some exact results for pseudoscalar mesons are highlighted with details relating to the U_A(1) problem. We describe inferences from the gap…

Nuclear Theory · Physics 2017-08-23 M. S. Bhagwat , I. C. Cloet , C. D. Roberts

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 exploit the recent lattice results for the infrared gluon propagator with light dynamical quarks and solve the gap equation for the quark propagator. Chiral symmetry breaking and confinement (intimately tied with the analytic properties…

High Energy Physics - Phenomenology · Physics 2014-01-08 A. Bashir , A. Raya , J. Rodríguez-Quintero

We review the approach to modeling soft hadron physics observables based on the Dyson-Schwinger equations of QCD. The focus is on light quark mesons and in particular the pseudoscalar and vector ground states, their decays and…

Nuclear Theory · Physics 2015-05-20 Peter C. Tandy

We review the current status of nonperturbative studies of gauge field theory using the Dyson-Schwinger equation formalism and its application to hadronic physics. We begin with an introduction to the formalism and a discussion of…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. Roberts , A. G. Williams

This is an introduction to the study of strongly interacting matter. We survey its different possible states and discuss the transition from hadronic matter to a plasma of deconfined quarks and gluons. Following this, we summarize the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Helmut Satz

This snapshot of recent progress in hadron physics made in connection with QCD's Dyson-Schwinger equations includes: a perspective on confinement and dynamical chiral symmetry breaking (DCSB); a pre'cis on the physics of in-hadron…

Nuclear Theory · Physics 2017-08-23 H. L. L. Roberts , L. Chang , I. C. Cloet , C. D. Roberts

Why should we study mesons in 2002? Two approaches to relating quark and gluon dynamics to hadron physics, namely QCD sum rules and effective field theories, are briefly discussed. These are linked by progress in the study of strong QCD,…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. R. Pennington

An overarching scientific challenge for the coming decade is to discover the meaning of confinement, its relationship to dynamical chiral symmetry breaking (DCSB) - the origin of visible mass - and the connection between them. In…

Nuclear Theory · Physics 2016-06-22 Craig D. Roberts

In recent years, significant progress was reached in understanding of vacuum and hadronic structure. We review recent works on the {\it point-to-point correlation functions}, comparing those obtained from phenomenology, ``instanton liquid"…

High Energy Physics - Phenomenology · Physics 2016-11-03 Edward Shuryak

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

An elementary introduction to the physics of quark-gluon plasma is given. We start with a sketchy presentation of the Quantum Chromodynamics which is the fundamental theory of strong interactions. The structure of hadrons built up of quarks…

Nuclear Theory · Physics 2011-03-17 Stanislaw Mrowczynski

The real-world properties of quantum chromodynamics (QCD) - the strongly-interacting piece of the Standard Model - are dominated by two emergent phenomena: confinement; namely, the theory's elementary degrees-of-freedom - quarks and gluons…

Nuclear Theory · Physics 2012-03-27 Craig D. Roberts

Quantum Chromodynamics (QCD), the theory of strong interactions, in principle describes the interaction of quark and gluon fields. However, due to the self-coupling of the gluons, quarks and gluons are confined into hadrons and cannot exist…

High Energy Physics - Experiment · Physics 2019-08-13 Fabian Krinner

Within a chiral quark sigma model in which quarks interact via the exchange of sigma and pi-mesons, hadron properties are investigated. This model of the nucleon and delta is based on the idea that strong QCD forces on very short distances…

General Physics · Physics 2011-10-20 M. Rashdan , T. Ali , S. El-Kholy , M. Abu-Shady

We take the Dyson-Schwinger equation (DSE) approach of QCD to study the phase transition and the equation of state of cold dense matter. Besides the bare vertex and Gauss gluon model, we take into account an improved truncation scheme, the…

High Energy Physics - Phenomenology · Physics 2023-10-30 Zhan Bai , Yu-Xin Liu