The high energy asymptotics of scattering processes in QCD

Details The high energy asymptotics of scattering processes in QCD The high energy asymptotics of scattering processes in QCD

2005-05-12

arxiv.org/abs/hep-ph/0505101v2

Phys.Rev.D72:074021,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, 20 figures. The code for BK evolution can be downloaded from http://www.isv.uu.se/~enberg/BK/ v2: several points cla

Scientific paper

10.1103/PhysRevD.72.074021

High energy scattering in the QCD parton model was recently shown to be a reaction-diffusion process, and thus to lie in the universality class of the stochastic Fisher-Kolmogorov-Petrovsky-Piscounov equation. We recall that the latter appears naturally in the context of the parton model. We provide a thorough numerical analysis of the mean field approximation, given in QCD by the Balitsky-Kovchegov equation. In the framework of a simple stochastic toy model that captures the relevant features of QCD, we discuss and illustrate the universal properties of such stochastic models. We investigate in particular the validity of the mean field approximation and how it is broken by fluctuations. We find that the mean field approximation is a good approximation in the initial stages of the evolution in rapidity.

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