QCD Short-distance Constraints and Hadronic Approximations

Details QCD Short-distance Constraints and Hadronic Approximations QCD Short-distance Constraints and Hadronic Approximations

2003-04-23

arxiv.org/abs/hep-ph/0304222v1

JHEP 0304 (2003) 055

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages

Scientific paper

10.1088/1126-6708/2003/04/055

This paper discusses a general class of ladder resummation inspired hadronic approximations. It is found that this approach naturally reproduces many successes of single meson per channel saturation models (e.g. VMD) and NJL based models. In particular the existence of a constituent quark mass and a gap equation follows naturally. We construct an approximation that satisfies a large set of QCD short-distance and large $N_c$ constraints and reproduces many hadronic observables. We show how there exists in general a problem between QCD short-distance constraints for Green Functions and those for form factors and cross-sections following from the quark-counting rule. This problem while expected for Green functions that do not vanish in purely perturbative QCD also persists for many Green functions that are order parameters.

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