Saturation and Traveling waves

Details Saturation and Traveling waves Saturation and Traveling waves

2004-07-09

arxiv.org/abs/hep-ph/0407115v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 2 figures, presented at the DIS 2004 Workshop, Strbske Pleso, Slovakia, 14-18 April

Scientific paper

High parton density effects with energy obey non-linear QCD evolution equations for which exact solutions are not known. The mathematical class to which the non-linear Balitsky-Kovchegov equation belongs is identified, proving the existence of asymptotic in energy traveling wave solutions which are ``universal'' i.e. independent of the initial conditions and of the precise form of the non-linearities. This has an direct impact on geometrical scaling and the diffusive transition to saturation, which is shown to be ``normal'' for constant QCD coupling and ``abnormal'' for running coupling.

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