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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

The ladder-rainbow truncation of the set of Dyson-Schwinger equations is used to study the pion and kaon electromagnetic form factors and the $\gamma^\star \pi^0 \gamma$ transition form factor in impulse approximation. With model parameters…

Nuclear Theory · Physics 2009-11-06 P. Maris

An hallmark of present-day Dyson-Schwinger equation applications in hadron physics is the existence of a systematic and symmetry preserving truncation scheme. This enables the proof of exact results; e.g., the leptonic decay constant of…

Nuclear Theory · Physics 2007-05-23 A. Hoell , A. Krassnigg , C. D. Roberts

Recently, a theoretical framework was set up in [1], which allows for the symmetry-preserving inclusion of full quark-gluon vertices in the description of the meson dynamics. In the present work, we develop a special truncation within this…

High Energy Physics - Phenomenology · Physics 2025-12-05 Mauricio N. Ferreira , Angel S. Miramontes , Jose M. Morgado , Joannis Papavassiliou , Jan M. Pawlowski

Dyson-Schwinger equations furnish a Poincare' covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. Key to the…

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

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

We review applications of Dyson-Schwinger equations at nonzero temperature, T, and chemical potential, mu, touching topics such as: deconfinement and chiral symmetry restoration; the behaviour of bulk thermodynamic quantities; the…

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

We study hadronic decays of mesons and baryons in the context of the Dyson-Schwinger equations of QCD. Starting from a well-established effective interaction in rainbow-ladder truncation, we consistently calculate all ingredients of the…

High Energy Physics - Phenomenology · Physics 2011-09-07 Valentin Mader , Gernot Eichmann , Martina Blank , Andreas Krassnigg

A novel approach towards the hadronic contributions to the anomalous magnetic moment of the muon $a_{\mu}$ is presented, namely the Dyson-Schwinger equations of QCD. It has the advantage of being valid for all momentum scales and has the…

High Energy Physics - Phenomenology · Physics 2015-05-20 Tobias Goecke , Christian S. Fischer , Richard Williams

The ladder-rainbow truncation of the set of Dyson-Schwinger equations is used to study a variety of electroweak and strong processes involving light mesons. The parameters in the effective interaction are constrained by the chiral…

Nuclear Theory · Physics 2007-05-23 P. Maris

The dichotomy of the pion as QCD's Goldstone mode and a bound state of massive constituents is easily understood using the Dyson-Schwinger equations. That provides the foundation for an efficacious phenomenology, which correlates the pion's…

Nuclear Theory · Physics 2010-03-04 M. B. Hecht , C. D. Roberts

Strange quark contributions to the proton magnetic moment are estimated from a consideration of baryon magnetic moment sum rules. The environment sensitivity of quark contributions to baryon moments is emphasized. Pion cloud contributions…

High Energy Physics - Phenomenology · Physics 2009-10-28 Derek B. Leinweber

Effective Chiral Lagrangian is derived from QCD in the framework of Field Correlator Method. It contains the effects of both confinement and chiral symmetry breaking due to a special structure of the resulting quark mass operator. It is…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. M. Fedorov , Yu. A. Simonov

We provide a snapshot of recent progress in hadron physics made using QCD's Dyson-Schwinger equations, reviewing the generation of a quark anomalous chromomagnetic moment, which may explain the longstanding puzzle of the $a_1$-$\rho$ mass…

Nuclear Theory · Physics 2014-11-20 Lei Chang , Craig D. Roberts

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

I briefly summarize the application of the Dyson-Schwinger/Faddeev approach to baryon form factors. Recent results for nucleon electromagnetic and axial form factors as well as N-Delta-Gamma electromagnetic transition form factors are…

High Energy Physics - Phenomenology · Physics 2011-12-22 Gernot Eichmann

The mass gap equation for spontaneous chiral symmetry breaking is studied directly in Minkowsky space. In hadronic physics, spontaneous chiral symmetry breaking is crucial to generate a constituent mass for the quarks, and to produce the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Pedro Bicudo

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

The electromagnetic corrections to the masses of the pseudoscalar mesons $\pi$ and $K$ are considered. We calculate in chiral perturbation theory the contributions which arise from resonances within a photon loop at order $O(e^2 m_q)$.…

High Energy Physics - Phenomenology · Physics 2009-10-28 Robert Baur , Res Urech

Prompted by the recent surprising results in QCD spectroscopy, we extend the treatment of the constituent quark model showing that mass differences and ratios have the same values when obtained from mesons and baryons. We obtain several new…

High Energy Physics - Phenomenology · Physics 2008-11-26 Marek Karliner , Harry J. Lipkin