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Related papers: Dyson-Schwinger Equations: An Instrument for Hadro…

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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. The gap…

Nuclear Theory · Physics 2010-03-04 P. Maris , C. D. Roberts

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

The phenomena of confinement and dynamical chiral symmetry breaking are basic to understanding hadron observables. They can be explored using Dyson-Schwinger equations. The existence of a systematic, nonperturbative and symmetry preserving…

Nuclear Theory · Physics 2010-03-04 Arne Hoell , Craig D. Roberts , Stewart V. Wright

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

This Dyson-Schwinger equation (DSE) aperc,u highlights recent applications to mesons. It reports features of, and results for, pseudoscalar and scalar bound-state residues in vacuum polarisations, and exhibits how a restoration of chiral…

Nuclear Theory · Physics 2008-11-26 M. S. Bhagwat , A. Holl , A. Krassnigg , C. D. Roberts

We survey contemporary studies of hadrons and strongly interacting quarks using QCD's Dyson-Schwinger equations, addressing: aspects of confinement and dynamical chiral symmetry breaking; the hadron spectrum; hadron elastic and transition…

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

We provide a glimpse of recent progress in meson physics made via QCD's Dyson-Schwinger equations with: a perspective on confinement and dynamical chiral symmetry breaking (DCSB); a pre'cis on the physics of in-hadron condensates; results…

Nuclear Theory · Physics 2011-03-02 H. L. L. Roberts , L. Chang , C. D. Roberts

A representative but not exhaustive review of the Schwinger-Dyson equation (SDE) approach to the nonperturbative study of QCD is presented. The main focus is the SDE for the quark self energy but studies of the gluon propagator and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Craig D. Roberts

The contemporary use of Dyson-Schwinger equations in hadronic physics is exemplified via applications to the calculation of pseudoscalar meson masses, and inclusive deep inelastic scattering with a determination of the pion's valence-quark…

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

In tackling QCD, a constructive feedback between theory and extant and forthcoming experiments is necessary in order to place constraints on the infrared behaviour of QCD's \beta-function, a key nonperturbative quantity in hadron physics.…

Nuclear Theory · Physics 2015-05-30 Craig D. Roberts

We provide a glimpse 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; the dynamical…

Nuclear Theory · Physics 2015-05-27 L. Chang , I. C. Cloet , C. D. Roberts , H. L. L. Roberts

In this summary of the application of Dyson-Schwinger equations to the theory and phenomenology of hadrons, some deductions following from a nonperturbative, symmetry-preserving truncation are highlighted, notable amongst which are results…

Nuclear Theory · Physics 2008-11-26 M. S. Bhagwat , A. Krassnigg , P. Maris , C. D. Roberts

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 2016-09-21 Jorge Segovia

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 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

Detailed investigations of the structure of hadrons are essential for understanding how matter is constructed from the quarks and gluons of QCD, and amongst the questions posed to modern hadron physics, three stand out. What is the…

Nuclear Theory · Physics 2007-05-23 A. Hoell , C. D. Roberts , S. V. Wright

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

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

Schwinger-Dyson equations (SDEs) provide a natural staring point to study non-perturbative phenomena such as dynamical chiral symmetry breaking in gauge field theories. We briefly review this research in the context of quenched quantum…

High Energy Physics - Phenomenology · Physics 2009-08-11 A. Bashir
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