The High Energy Asymptotics of Scattering Processes in QCD

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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 ... continued below

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Enberg, Rikard; Golec-Biernat, K. & Munier, S. May 12, 2005.

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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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  • Journal Name: Physical Review, D (Particles Fields); Journal Volume: 72; Journal Issue: 7; Related Information: Journal Publication Date: October 2005

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  • Report No.: LBNL--57569
  • Report No.: hep-ph/0505101, CPHT-RR-026.0505,DFF-425/05/05
  • Grant Number: DE-AC02-05CH11231
  • DOI: 10.1103/PhysRevD.72.074021 | External Link
  • Office of Scientific & Technical Information Report Number: 885323
  • Archival Resource Key: ark:/67531/metadc876817

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  • May 12, 2005

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  • Sept. 21, 2016, 2:29 a.m.

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  • Dec. 9, 2016, 9:27 p.m.

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Enberg, Rikard; Golec-Biernat, K. & Munier, S. The High Energy Asymptotics of Scattering Processes in QCD, article, May 12, 2005; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc876817/: accessed December 16, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.