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

S. Munier
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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.

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S. Munier. 2007-02-14. Dense-dilute factorization for a class of stochastic processes and for high energy QCD. https://doi.org/10.1103/physrevd.75.034009

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