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The last five years have brought considerable progress in the study of the bound-state problem in continuum quantum field theory. We highlight a subset of that progress; viz., that made within the context of Dyson Schwinger equation…

Nuclear Theory · Physics 2015-06-17 Ian C. Cloet , 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

Modern and anticipated facilities will deliver data that promises to reveal the innermost workings of quantum chromodynamics (QCD). In order to fulfill that promise, phenomenology and theory must reach a new level, limiting and overcoming…

High Energy Physics - Phenomenology · Physics 2021-02-03 Si-Xue Qin , Craig D. Roberts

Quantum Chromodynamics (QCD) is a firmly established part of the Standard Model, yet its long distance properties remain challenging at a conceptual level. In recent years significant experimental and theoretical progress has been made…

High Energy Physics - Phenomenology · Physics 2009-11-07 Paul Hoyer

These lectures are divided into two parts. In Part 1 I discuss bound state topics at the level of a basic course in field theory: The derivation of the Schr\"odinger and Dirac equations from the QED Lagrangian, by summing Feynman diagrams…

High Energy Physics - Phenomenology · Physics 2014-02-28 Paul Hoyer

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 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…

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

In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD simulations. In this review I focus on the developments in the last two years. Especially the addition of external influences or new…

High Energy Physics - Lattice · Physics 2021-02-17 Jana N. Guenther

One of the greatest challenges within the Standard Model is to discover the source of visible mass. Indeed, this is the focus of a "Millennium Problem", posed by the Clay Mathematics Institute. The answer is hidden within quantum…

Nuclear Theory · Physics 2019-09-26 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

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

Relativistic bound state problem in hadron physics is studied. Mesons and their resonance excitations in the framework of Relativistic Quantum Mechanics (RQM) are investigated. Two-particle wave equation for the Lorentz scalar QCD inspired…

High Energy Physics - Phenomenology · Physics 2017-12-08 M. N. Sergeenko

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 explore the viability of using solely spacelike information about a Schwinger function to extract properties of bound states. In a concrete example it is not possible to determine properties of states with masses \gsim 1.2 GeV. Modern…

Nuclear Theory · Physics 2008-11-26 A. Hoell , P. Maris , C. D. Roberts , S. V. Wright

The electromagnetic form factors of hadrons at large momentum transfer have been the subject of intense theoretical and experimental scrutiny over the past two decades, yet there is still not a universally-accepted framework for their…

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman , Paul Stoler

An overarching scientific challenge for the coming decade is to discover the meaning of confinement, its relationship to dynamical chiral symmetry breaking (DCSB) - the origin of visible mass - and the connection between them. In…

Nuclear Theory · Physics 2016-06-22 Craig D. Roberts

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

We review the recent progress in the applications of QCD sum rules to hadron properties with the emphasis on the following selected problems: (i) development of new algorithms for the extraction of ground-state parameters from two-point…

High Energy Physics - Phenomenology · Physics 2016-01-26 Dmitri Melikhov

In attempting to match QCD with Nature, it is necessary to confront the many complexities of strong, nonlinear dynamics in relativistic quantum field theory, e.g. the loss of particle number conservation, the frame and scale dependence of…

Nuclear Theory · Physics 2018-05-23 Craig D. Roberts
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