Unified derivation of evolution equations
Hsiang-nan Li
Abstract
We derive the evolution equations of parton distribution functions appropriate in different kinematic regions in a unified and simple way using the resummation technique. They include the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi equation for large momentum transfer Q, the Balitskii-Fadin-Kuraev-Lipatov equation for a small Bjorken variable x, and the Ciafaloni-Catani-Fiorani-Marchesini equation which embodies the above two equations. The relation among these equations is explored, and possible applications of our approach are proposed.
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