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We examine the applicability and viability of methods to obtain knowledge about bound-states from information provided solely in Euclidean space. Rudimentary methods can be adequate if one only requires information about the ground and…

Nuclear Theory · Physics 2010-03-04 M. S. Bhagwat , A. Hoell , A. Krassnigg , C. D. Roberts , S. V. Wright

A calculation of the current-quark mass dependence of hadron masses can help in using observational data to place constraints on the variation of nature's fundamental parameters. A hadron's sigma-term is a measure of this dependence. The…

Nuclear Theory · Physics 2009-08-18 V. V. Flambaum , A. Hoell , P. Jaikumar , C. D. Roberts , S. V. Wright

We describe the application of Dyson-Schwinger equations to the calculation of hadron observables. The studies at zero temperature (T) and quark chemical potential (mu) provide a springboard for the extension to finite-(T,mu). Our exemplars…

Nuclear Theory · Physics 2007-05-23 Pieter Maris , Craig D. Roberts

An overview of the theory and phenomenology of hadrons and QCD is provided from a Dyson-Schwinger equation viewpoint. Following a discussion of the definition and realisation of light-quark confinement, the nonperturbative nature of the…

Nuclear Theory · Physics 2008-11-26 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

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

A synopsis exemplifying the employment of Dyson-Schwinger equations in the calculation and explanation of hadron electromagnetic form factors and related phenomena. In particular the contribution: presents the pion form factor computed…

Nuclear Theory · Physics 2009-02-19 I. C. Cloet , C. D. Roberts

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

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

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…

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

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

We give a pedagogical introduction to hadron spectroscopy and structure studies using functional methods. We explain the basic features of Dyson-Schwinger, Bethe-Salpeter and Faddeev equations, which are employed to calculate the spectra of…

High Energy Physics - Phenomenology · Physics 2025-03-14 Gernot Eichmann

The form factor for gamma pi^+ -> pi^+ pi^0 was calculated in a simple-minded constituent model with a constant quark mass parameter, as well as in the Schwinger-Dyson approach. The comparative discussion of these and various other…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dubravko Klabucar , Bojan Bistrovic

A generalization of the effective meson Lagrangian possessing the heavy quark symmetry to finite meson masses is employed to study the meson mass dependence of the spectrum of S-- and P wave baryons containing one heavy quark or anti-quark.…

High Energy Physics - Phenomenology · Physics 2010-11-01 J. Schechter , A. Subbaraman , S. Vaidya , H. Weigel

QCD lattice simulations determine hadron masses as functions of the quark masses. From the gradients of these masses and using the Feynman-Hellmann theorem the hadron sigma terms can then be determined. We use here a novel approach of…

High Energy Physics - Lattice · Physics 2013-05-30 R. Horsley , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , F. Winter , J. M. Zanotti

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

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

Recent years have brought considerable progress with studies of the bound-state problem in continuum QCD. A small part of that made with Dyson Schwinger equations is highlighted herein. Topics covered include: opportunities provided by…

Nuclear Theory · Physics 2015-06-18 Craig D. Roberts

We illustrate the contemporary application of Dyson-Schwinger equations using two examples: the calculation of pseudoscalar meson masses, an associated model-independent mass formula and the approach to the heavy-quark limit; and the study…

Nuclear Theory · Physics 2007-05-23 M. B. Hecht , C. D. Roberts , S. M. Schmidt
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