Hadron Properties and Dyson-Schwinger Equations
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 realisation 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.
Cite
@article{arxiv.0712.0633,
title = {Hadron Properties and Dyson-Schwinger Equations},
author = {C. D. Roberts},
journal= {arXiv preprint arXiv:0712.0633},
year = {2008}
}
Comments
18 pages, 2 figures. Contribution to the Proceedings of the International School of Nuclear Physics, Erice-Sicily -- 29th Course: Quarks in Hadrons and Nuclei, 16-24 September, 2007