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

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

2006-08-03

arxiv.org/abs/hep-ph/0608036v3

Phys.Rev.D75:034009,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.75.034009

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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