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

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I illustrate the phenomenological application of Dyson-Schwinger equations to the calculation of meson properties observable at TJNAF. Particular emphasis is given to this framework's ability to unify long-range effects constrained by…

Nuclear Theory · Physics 2010-03-04 Craig Roberts

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. Herein I provide a…

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

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

The nonperturbative, Dyson-Schwinger equation approach to solving QCD provides a straightforward, microscopic description of dynamical chiral symmetry breaking and confinement. It is an ideal tool for the study of pion observables. This is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Craig D. Roberts

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

Dyson--Schwinger equations are an established, powerful non-perturbative tool for QCD. In the Hamiltonian formulation of a quantum field theory they can be used to perform variational calculations with non-Gaussian wave functionals. By…

High Energy Physics - Theory · Physics 2017-04-05 Davide R. Campagnari , Hugo Reinhardt , Markus Q. Huber , Peter Vastag , Ehsan Ebadati

The real-world properties of quantum chromodynamics (QCD) - the strongly-interacting piece of the Standard Model - are dominated by two emergent phenomena: confinement; namely, the theory's elementary degrees-of-freedom - quarks and gluons…

Nuclear Theory · Physics 2012-03-27 Craig D. Roberts

These lectures explain that comparisons between experiment and theory can expose the impact of running couplings and masses on hadron observables and thereby aid materially in charting the momentum dependence of the interaction that…

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

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

Dynamical chiral symmetry breaking (DCSB) is a remarkably effective mass generating mechanism. It is also, amongst other things, the foundation for a successful application of chiral effective field theories, the origin of constituent-quark…

Nuclear Theory · Physics 2011-09-28 Lei Chang , Craig D. Roberts

The theory of the magnetic catalysis of chiral symmetry breaking in QED is developed. An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e., it is shown that there exists a consistent…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

We study chiral symmetry breaking in quenched strong-coupling QED$_4$ in arbitrary covariant gauge within the Dyson-Schwinger equation formalism. A recently developed numerical renormalization program is fully implemented. Results are…

High Energy Physics - Lattice · Physics 2008-11-26 A. G. Williams , F. T. Hawes

The ladder-rainbow truncation of the set of Dyson-Schwinger equations is used to study light mesons. The parameters in the effective interaction are constrained by the chiral condensate and f_\pi; the current quark masses are fitted to…

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

Mixed dimensional theories have been used to describe condensed matter systems where fermions are constrained to a plane while the gauge fields they interact with remain four-dimensional. Here we investigate dynamical breaking of chiral…

High Energy Physics - Phenomenology · Physics 2020-09-21 Juan Angel Casimiro Olivares , Luis Albino , Ana Julia Mizher , Alfredo Raya

I report on recent progress in the study of mass generation in non-abelian gauge theories, and concentrate on the origin of constituent masses in QCD. I argue that a consistent formalism has been developed to describe chiral symmetry…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. R. Cudell

Dyson-Schwinger equations provide a prominent approach to physics of strong interactions. To reproduce the hadronic phenomenology well, the Dyson-Schwinger approach in the rainbow-ladder approximation must employ an effective interaction…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dalibor Kekez , Dubravko Klabucar

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 strongly momentum-dependent dressed-quark mass function is basic to QCD. It is central to the appearance of a constituent-quark mass-scale and an existential prerequisite for Goldstone modes. Dyson-Schwinger equation (DSE) studies have…

Nuclear Theory · Physics 2007-05-23 M. S. Bhagwat , C. D. Roberts

We project onto the light-front the pion's Poincare'-covariant Bethe-Salpeter wave-function, obtained using two different approximations to the kernels of QCD's Dyson-Schwinger equations. At an hadronic scale both computed results are…

Nuclear Theory · Physics 2015-06-12 Lei Chang , I. C. Cloet , J. J. Cobos-Martinez , C. D. Roberts , S. M. Schmidt , P. C. Tandy

In theoretical hadron physics mesons are a center of attention. Constructed in a simpler way than baryons in the quark model, they still present a considerable challenge if one aims at an understanding of all their aspects in terms of…

Nuclear Theory · Physics 2009-06-25 A. Krassnigg