Hadron properties and Dyson–Schwinger equations

By Craig D. Roberts. 2007

144 citations recorded by the source corpus.

Abstract 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 realization of light-quark confinement, the nonperturbative nature of the running mass in QCD and inferences from the gap equation relating to the radius of convergence for expansions of observables in the current-quark mass are described. Some exact results for pseudoscalar mesons are also highlighted, with details relating to the U A ( 1 ) problem, and calculated masses of the lightest J = 0 , 1 states are discussed. Studies of nucleon properties are recapitulated upon and illustrated: through a comparison of the ln -weighted ratios of Pauli and Dirac form factors for the neutron and proton; and a perspective on the contribution of quark orbital angular momentum to the spin of a nucleon at rest. Comments on prospects for the future of the study of quarks in hadrons and nuclei round out the contribution.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f04d5fa2fe3f7830fbc7643adff402cbc651040e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. Guy F. de Téramond
2. S. Brodsky
3. Huey-Wen Lin
4. I. Cloet
5. C. Roberts
6. R. V. D. Water
7. P. Kroll
8. C. Bernard

Citations in the corpus

• Nonperturbative QCD Simulations with 2+1 Flavors of Improved Staggered Quarks (2009, background): “They are often treated semi-analytically in the context of Dyson-Schwinger equations, see Roberts (2008) and Fischer (2006) for recent reviews.”
• STUDIES OF NUCLEON RESONANCE STRUCTURE IN EXCLUSIVE MESON ELECTROPRODUCTION (2012, methodology): “The DSEQCD helps to understand the transition between the perturbative regime of 70 QCD and the lowQ2 regime, where the quarks acquire masses and structure dynamically due to the gluon dressing, although the meson degrees of freedom are not included till the moment [16].”