Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-04-12
Acta Phys.Polon. B34 (2003) 3103
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, 3 figs. To appear in the special issue of Acta Physica Polonica to celebrate the 65th Birthday of Professor Jan Kwie
Scientific paper
I give an account of the definitions of parton densities, both the conventional ones, integrated over parton transverse momentum, and unintegrated transverse-momentum-dependent densities. The aim is to get a precise and correct definition of a parton density as the target expectation value of a suitable quantum mechanical operator, so that a clear connection to non-perturbative QCD is provided. Starting from the intuitive ideas in the parton model that predate QCD, we will see how the simplest operator definitions suffer from divergences. Corrections to the definition are needed to eliminate the divergences. An improved definition of unintegrated parton densities is proposed.
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