The high energy asymptotics of scattering processes in QCD

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dc.creatorEnberg, R.
dc.creatorGolec-Biernat, K.
dc.creatorMunier, S.
dc.date2005-05-12
dc.date2005-10-13
dc.date.accessioned2026-07-07T10:44:18Z
dc.date.available2026-07-07T10:44:18Z
dc.descriptionHigh 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.
dc.description31 pages, 20 figures. The code for BK evolution can be downloaded from http://www.isv.uu.se/~enberg/BK/ v2: several points clarified, discussion of the solutions to the mean-field evolution enhanced through the study of a different class of initial conditions, references added; conclusions unchanged. To appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0505101
dc.identifierhttp://arxiv.org/abs/hep-ph/0505101
dc.identifierPhys.Rev.D72:074021,2005
dc.identifierdoi:10.1103/PhysRevD.72.074021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182547
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe high energy asymptotics of scattering processes in QCD
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