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High Energy Physics - Phenomenology

arXiv:hep-ph/0505101 (hep-ph)
[Submitted on 12 May 2005 (v1), last revised 13 Oct 2005 (this version, v2)]

Title:The high energy asymptotics of scattering processes in QCD

Authors:R. Enberg (Berkeley & Polytechnique), K. Golec-Biernat (INP Cracow), S. Munier (Polytechnique & Florence)
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Abstract: 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.
Comments: 31 pages, 20 figures. The code for BK evolution can be downloaded from this http URL 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
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: LBNL-57569, CPHT-RR-026.0505, DFF-425/05/05
Cite as: arXiv:hep-ph/0505101
  (or arXiv:hep-ph/0505101v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0505101
Journal reference: Phys.Rev.D72:074021,2005
Related DOI: https://doi.org/10.1103/PhysRevD.72.074021

Submission history

From: Stéphane Munier [view email]
[v1] Thu, 12 May 2005 10:09:02 UTC (184 KB)
[v2] Thu, 13 Oct 2005 22:00:19 UTC (182 KB)
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