Geometric scaling as traveling waves

Details Geometric scaling as traveling waves Geometric scaling as traveling waves

2003-09-16

arxiv.org/abs/hep-ph/0309177v2

Phys.Rev.Lett.91:232001,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 1 figure. v2: references added

Scientific paper

10.1103/PhysRevLett.91.232001

We show the relevance of the nonlinear Fisher and Kolmogorov-Petrovsky- Piscounov (KPP) equation to the problem of high energy evolution of the QCD amplitudes. We explain how the traveling wave solutions of this equation are related to geometric scaling, a phenomenon observed in deep-inelastic scattering experiments. Geometric scaling is for the first time shown to result from an exact solution of nonlinear QCD evolution equations. Using general results on the KPP equation, we compute the velocity of the wave front, which gives the full high energy dependence of the saturation scale.

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