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Related papers: Strong QCD and Dyson-Schwinger Equations

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On a bounded, measurable domain of non-negative current-quark mass, realistic models of QCD's gap equation can simultaneously admit two inequivalent dynamical chiral symmetry breaking (DCSB) solutions and a solution that is unambiguously…

Nuclear Theory · Physics 2008-11-26 Lei Chang , Yu-Xin Liu , Mandar S. Bhagwat , Craig D. Roberts , Stewart V. Wright

Charge symmetry breaking (CSB) in the strong interaction occurs because of the difference between the masses of the up and down quarks. The use of effective field theories allows us to follow this influence of confined quarks in hadronic…

Nuclear Experiment · Physics 2008-11-26 Gerald A Miller , Allena K. Opper , Edward J. Stephenson

These lectures provide an overview of Quantum Chromodynamics (QCD), the $SU(3)_C$ gauge theory of the strong interactions. After briefly reviewing the empirical considerations which lead to the introduction of {\it colour}, the QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

A confining quantum chromodynamics (QCD) model is formulated on the basis of a new general Yang-Mills $SU_3$ symmetry. The general Yang-Mills transformations involve arbitrary vector gauge functions $\omega_\mu(x)$ and Hamilton's…

General Physics · Physics 2019-11-26 Jong-Ping Hsu

Dedicated to the memory of our colleague, Harald Fritzsch, who, together with Murray Gell-Mann, introduced the color quantum number as the exact symmetry responsible for the strong interaction, thus establishing quantum chromodynamics (QCD)…

High Energy Physics - Phenomenology · Physics 2024-04-23 Guy F. de Teramond , Stanley J. Brodsky

We study in this Letter the origin of the confinement in QCD by analyzing the colour charge of physics states. We derive the colour charge operator in QCD and compare it with the electromagnetic charge operator in QED. It shows that the two…

High Energy Physics - Phenomenology · Physics 2018-02-23 Fei Gao , Chong-yao Chen , Yu-xin Liu

We undertake the challenging task to reveal the properties of dressed light-quarks in the space- and time-like regions. For that aim, we solved the Dyson-Schwinger equation (DSE) in Minkowski space for the quark propagator in a QCD inspired…

High Energy Physics - Phenomenology · Physics 2022-07-13 Dyana C. Duarte , Tobias Frederico , Wayne de Paula , Emanuel Ydrefors

We demonstrate that the restoration of chiral symmetry at finite-T in a class of confining Dyson-Schwinger equation (DSE) models of QCD is a mean field transition, and that an accurate determination of the critical exponents using the…

Nuclear Theory · Physics 2010-03-04 Arne Hoell , Pieter Maris , Craig D. Roberts

The Schwinger-Dyson, Bethe-Salpeter system of equations are the link between coloured quarks and gluons, and colourless hadrons and their properties. This talk reviews some aspects of these studies from the infrared behaviour of ghosts to…

Nuclear Theory · Physics 2015-03-19 M. R. Pennington

The interactions of quarks and gluons are strong at non-perturbative region. The equation of state (EoS) of a strongly-interacting quantum chromodynamics (QCD) medium can only be studied using the first-principle lattice QCD calculations.…

High Energy Physics - Phenomenology · Physics 2023-10-03 Fu-Peng Li , Hong-Liang Lü , Long-Gang Pang , Guang-You Qin

The propagation of colored quarks through strongly interacting systems, and their subsequent evolution into color-singlet hadrons, are phenomena that showcase unique facets of Quantum Chromodynamics (QCD). Medium-stimulated gluon…

High Energy Physics - Phenomenology · Physics 2014-04-21 W. K. Brooks , H. Hakobyan , M. Arratia , C. Peña

Colormagnetic confinement as a natural component of the QCD confinement is explained and treated in the framework of the Field Correlator Method. For quarks and gluons in hadrons the effects of the colormagnetic confinement are discussed at…

High Energy Physics - Phenomenology · Physics 2023-03-29 Yu. A. Simonov

In an informal way some kind of Ising Lattice QCD is introduced which allows to interprete and discuss the well-known theory of quantum chromodynamics (confinement, quarks and gluons, etc.) from simple phenomena of magnetism and polymer…

Disordered Systems and Neural Networks · Physics 2010-02-11 U. Krey

We provide a brief review of recent progress in the study of mesons using QCD's Dyson-Schwinger equations. Along the way we touch on aspects of confinement and dynamical chiral symmetry breaking but in the main focus upon: exact results for…

Nuclear Theory · Physics 2011-11-23 Lei Chang , Craig D. Roberts , Peter C. Tandy

Two basic motivations for an upgraded JLab facility are the needs: to determine the essential nature of light-quark confinement and dynamical chiral symmetry breaking (DCSB); and to understand nucleon structure and spectroscopy in terms of…

Nuclear Theory · Physics 2010-11-02 Lei Chang , Ian C. Cloet , Bruno El-Bennich , Thomas Klahn , Craig D. Roberts

Quantum chromodynamics (QCD) with a general number of colors, $\Nc$, provides a powerful theoretical laboratory to explore the dynamics of non-Abelian gauge theories. Although $\Nc =3$ does not look a large number, the $1/\Nc$ expansion…

High Energy Physics - Phenomenology · Physics 2026-01-21 Toru Kojo

The standard model of strong interactions invokes the quantum chromodynamics (QCD) of quarks and gluons interacting within a fluid. At sufficiently small length scales, the effective interactions between the color charged particles within…

High Energy Physics - Theory · Physics 2009-11-19 Y. N. Srivastava , O. Panella , A. Widom

In quantum chromodynamics with static quarks the confinement-deconfinement phase transition is connected to the spontaneous breaking of the global Z3 center symmetry. This symmetry is lost when one considers dynamical quarks. Owing to the…

High Energy Physics - Lattice · Physics 2013-11-18 Philipp Scior , Sam R. Edwards , Lorenz von Smekal

Within the framework of Dyson-Schwinger equations(DSEs) and by means of the Multiple Reflection Expansion approximation, we study the finite volume effects of the constituent quark mass in a strong external magnetic field. Since the…

High Energy Physics - Phenomenology · Physics 2025-08-19 Li-Juan Zhou , De-Xian Wei , Zhong-Yi Liu , Hong-Wei Zhong

We develop a framework for deriving Dyson-Schwinger Equations (DSEs) and Bethe-Salpeter Equation (BSE) in QCD at large $N_c$ limit. The starting point is a modified form (with auxiliary fields) of QCD generating functional. This framework…

High Energy Physics - Theory · Physics 2017-12-06 Hui-Feng Fu , Qing Wang , Libo Jiang