2006/08/31 by S. Munier
Physics and Astronomy · #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.75.034009
published as Phys.Rev.D75:034009,2007 · 9 pages. v2: Eq.(4) corrected, numerics improved, various clarifying comments added. Conclusions unchanged. v3: comments and references added, many misprints fixed
openalex publication_date 2007/02/12 · arxiv created 2007/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Stochastic processes described by evolution equations in the universality class of the Fisher-Kolmogorov-Petrovsky-Piscounov equation may be approximately factorized into a linear stochastic part and a nonlinear deterministic part. We prove this factorization on a model with no spatial dimensions and we illustrate it numerically on a one-dimensional toy model that possesses some of the main features of high energy QCD evolution. We explain how this procedure may be applied to QCD amplitudes, by combining Salam's Monte Carlo implementation of the dipole model and a numerical solution of the Balitsky-Kovchegov equation.