Constituent Quarks from QCD

Details Constituent Quarks from QCD Constituent Quarks from QCD

1995-09-20

arxiv.org/abs/hep-ph/9509344v2

Phys.Rept. 279 (1997) 1-65

Physics

High Energy Physics

High Energy Physics - Phenomenology

91 pages, plain TeX, 3 figures, needs epsf.tex. Published version. Small changes. Figures now supplied. Some extra references

Scientific paper

10.1016/S0370-1573(96)00019-1

Starting from the observation that colour charge is only well defined on gauge invariant states, we construct perturbatively gauge invariant, dynamical dressings for individual quarks. Explicit calculations show that an infra-red finite mass-shell renormalisation of the gauge invariant, dressed propagator is possible and, further, that operator product effects, which generate a running mass, may be included in a gauge invariant way in the propagator. We explain how these fields may be combined to form hadrons and show how the interquark potential can now be directly calculated. The onset of confinement is identified with an obstruction to building a non-perturbative dressing. We propose several methods to extract the hadronic scale from the interquark potential. Various extensions are discussed.

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