Parton Distributions, Logarithmic Expansions and Kinetic Evolution

Details Parton Distributions, Logarithmic Expansions and Kinetic Evolution Parton Distributions, Logarithmic Expansions and Kinetic Evolution

2006-02-20

arxiv.org/abs/hep-ph/0602173v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Review article to appear in Lecture Notes of SIM (S. Dragomir ed.) 32 pages, 1 figure

Scientific paper

Aspects of the QCD parton densities are briefly reviewed, drawing some parallels to the density matrix formulation of quantum mechanics, exemplified by Wigner functions. We elaborate on the solution of their evolution equations using logarithmic expansions and overview their kinetic interpretation. We illustrate how a Fokker-Planck equation can be derived using the master formulation of the same equations and its construction in the case of the transverse spin distributions. A simple connection of the leading order DGLAP equation to fractional diffusion using fractional calculus is also briefly outlined.

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