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There have been many demonstrations of the utility of the Dyson-Schwinger equations of QCD as a systematic, phenomenological framework for describing the perturbative and non-perturbative dynamics of hadrons in terms of Euclidean Green…

Nuclear Theory · Physics 2017-08-23 M. A. Pichowsky

We review the spectrum and electromagnetic properties of baryons described as relativistic three-quark bound states within QCD. The composite nature of baryons results in a rich excitation spectrum, whilst leading to highly non-trivial…

High Energy Physics - Phenomenology · Physics 2016-10-12 Gernot Eichmann , Helios Sanchis-Alepuz , Richard Williams , Reinhard Alkofer , Christian S. Fischer

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

We summarise recent results on the spectrum of ground-state and excited baryons and their form factors in the framework of functional methods. As an improvement upon similar approaches we explicitly take into account the underlying…

High Energy Physics - Phenomenology · Physics 2017-03-08 Christian S. Fischer

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

We present a chiral constituent quark model for light and strange baryons providing a unified description of their ground states and excitation spectra. The model relies on constituent quarks and Goldstone bosons arising as effective…

High Energy Physics - Phenomenology · Physics 2009-10-30 L. Ya. Glozman , W. Plessas , K. Varga , R. F. Wagenbrunn

We use a symmetry-preserving truncation of meson and baryon bound-state equations in quantum field theory in order to develop a unified description of systems constituted from light- and heavy-quarks. In particular, we compute the spectrum…

Nuclear Theory · Physics 2018-06-20 Si-Xue Qin , Craig D. Roberts , Sebastian M. Schmidt

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

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

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…

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

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 study ground states and excitations of light octet and decuplet baryons within the framework of Dyson-Schwinger and Faddeev equations. We improve upon similar approaches by explicitly taking into account the momentum-dependent dynamics…

High Energy Physics - Phenomenology · Physics 2016-12-07 Gernot Eichmann , Christian S. Fischer , Helios Sanchis-Alepuz

The bulk of visible mass is supposed to emerge from nonperturbative dynamics within quantum chromodynamics (QCD). Following years of development and refinement, continuum and lattice Schwinger function methods have recently joined in…

High Energy Physics - Phenomenology · Physics 2026-01-15 Daniele Binosi , Craig D. Roberts , Zhao-Qian Yao

Baryons are treated as three-quark systems using QCD degrees of freedom in Poincare-covariant bound-state equations. The quark self-energy as well as the interaction between quarks are approximated by a vector-vector interaction via a…

High Energy Physics - Phenomenology · Physics 2015-06-23 Reinhard Alkofer , Gernot Eichmann , Helios Sanchis-Alepuz , Richard Williams

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

Employing an approach based on the Green functions of Landau-gauge QCD, some selected results from a calculation of meson and baryon properties are presented. A rainbow-ladder truncation to the quark Dyson-Schwinger equation is used to…

High Energy Physics - Phenomenology · Physics 2011-04-07 Reinhard Alkofer , Gernot Eichmann , Andreas Krassnigg , Diana Nicmorus

We describe a calculation of the spectrum of strange and nonstrange hadrons that simultaneously correlates the dressed-quark-core masses of meson and baryon ground- and excited-states within a single framework. The foundation for this…

Nuclear Theory · Physics 2015-06-04 Chen Chen , Lei Chang , Craig D. Roberts , Shaolong Wan , David J. Wilson

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

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

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
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