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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

Employing a symmetry-preserving contact-interaction formulation of the Dyson-Schwinger equations in quantum chromodynamics (QCD), we examine the identity of the $\sigma$ meson and its implications for the gravitational structure of hadrons.…

High Energy Physics - Phenomenology · Physics 2025-12-16 Zanbin Xing , Khépani Raya , Yu-xin Liu , Lei Chang

This conference proceedings contribution emphasizes the emergent hadron mass paradigm, which accounts for the majority of the visible mass in the universe, beyond the Higgs boson mechanism. The study delves into the Landau gauge gluon…

High Energy Physics - Phenomenology · Physics 2024-09-05 Jorge Segovia

Dynamical chiral symmetry breaking is a nonperturbative phenomenon that may be studied using QCD's gap equation. Model-independent results can be obtained with a nonperturbative and symmetry preserving truncation. The gap equation yields…

Nuclear Theory · Physics 2017-08-23 C. D. Roberts

A valuable approach to the analysis of hadron physics observables is provided by QCD's equations-of-motion; namely, the Dyson-Schwinger equations. Drawing from a diverse collection of predictions, we revisit: $\gamma \gamma^* \to$ neutral…

Nuclear Theory · Physics 2019-12-12 Khépani Raya , Lei Chang , Minghui Ding , Daniele Binosi , Craig D. Roberts

We study dynamical chiral symmetry breaking (DCSB) in an effective QED$_{3}$ theory of d-wave high temperature cuprate superconductors under a uniform magnetic field. At zero temperature, the external magnetic field induces a mixed state by…

Superconductivity · Physics 2015-06-04 Jian-Feng Li , Hong-Tao Feng , Yu Jiang , Wei-Min Sun , Hong-Shi Zong

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

A symmetry preserving framework for the study of continuum Quantum Chromodynamics (QCD) is obtained from a truncated solution of the QCD equations of motion or QCD's Dyson-Schwinger equations (DSEs). A nonperturbative solution of the DSEs…

Nuclear Theory · Physics 2016-04-20 Jorge Segovia

With discovery of the Higgs boson, the Standard Model of Particle Physics became complete. Its formulation is a remarkable story; and the process of verification is continuing, with the most important chapter being the least well…

Nuclear Theory · Physics 2015-02-03 Craig D. Roberts

A condensate of $\pvec = 0$ partons in the perturbative vacuum gives rise to a term $\propto\delta^4(p)$ in the free PQCD propagators. The leading condensate contribution to the quark propagator can be exactly summed since there is a factor…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Hoyer , Stephane Peigne

Dyson-Schwinger equations furnish a Poincare' covariant approach to hadron physics. They reveal that dynamical chiral symmetry breaking is tied to the long-range behaviour of the strong interaction and make predictions corroborated by…

Nuclear Theory · Physics 2010-03-04 A. Krassnigg , C. D. Roberts

We provide a snapshot of Dyson-Schwinger equation applications to the theory and phenomenology of hadrons. Exact results for pseudoscalar mesons are highlighted, with details relating to the U_A(1) problem. Calculated masses of the lightest…

Nuclear Theory · Physics 2010-03-04 I. C. Cloet , A. Krassnigg , C. D. Roberts

A basic understanding of the relevant features of hadron properties from first principles QCD has remained elusive, and should be understood as emergent phenomena which depend critically on the number of dimensions of physical spacetime.…

High Energy Physics - Phenomenology · Physics 2022-12-29 Guy F. de Teramond

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

A Poincare' covariant Faddeev equation is presented, which enables the simultaneous prediction of meson and baryon observables using the leading-order in a truncation of the Dyson-Schwinger equations that can systematically be improved. The…

Nuclear Theory · Physics 2010-04-15 G. Eichmann , I. C. Cloet , R. Alkofer , A. Krassnigg , C. D. Roberts

Quark model with potentials derived from QCD, including the quark-diquark model for excited hadrons gives mass formulae in very good agreement with experiment and goes a long way in explaining the approximate symmetries and supersymmetries…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sultan Catto

The structure of the hadron spectrum is discussed in connection with the main phenomena of nonperturbative QCD: confinement and chiral symmetry breaking (CSB). For the higher part of the spectrum ($M \ge 2 GeV$) spin and chiral effects are…

High Energy Physics - Phenomenology · Physics 2009-07-28 Yu. A. Simonov

This thesis presents an investigation of meson and baryon properties in the framework of covariant bound-state equations based on the Dyson-Schwinger equations of QCD. Pion and rho-meson, diquark, nucleon and delta-baryon masses are…

High Energy Physics - Phenomenology · Physics 2009-09-07 Gernot Eichmann

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

Charge symmetry breaking (CSB) effects associated with the $u$ and $d$ quark mass difference are investigated in the quark distribution functions and spacelike electromagnetic form factors of the pion and kaon. We use a confining version of…

Nuclear Theory · Physics 2018-05-23 Parada T. P. Hutauruk , Wolfgang Bentz , Ian C. Cloët , Anthony W. Thomas