Dense-dilute factorization for a class of stochastic processes and for high energy QCD

Abstract

Stochastic processes described by evolution equations in the universality class of the FKPP 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.

9 pages. v2: Eq.(4) corrected, numerics improved, various clarifying comments added. Conclusions unchanged. v3: comments and references added, many misprints fixed

References in corpus (3)

• Noisy traveling waves: effect of selection on genealogies
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• The Yin and Yang of High Energy Chromodynamics: Scattering in Black and White

Cited by in corpus (6)

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• On possible implications of gluon number fluctuations in DIS data
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• Total gluon shadowing due to fluctuation effects
• Soft processes at high energy without soft Pomeron: a QCD motivated model