Geometric Scaling as Traveling Waves

2003/09/18 by S. Munier, R. Peschanski · 16 citations
Mathematics · Physics and Astronomy · #Amplitude #Classical mechanics #Color-glass condensate #Geometry #High-Energy Particle Collisions Research #Mathematical analysis #Mathematics #Nonlinear system #Optics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Saturation (graph theory) #Scaling #Scattering #Statistical physics #cond-mat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.91.232001

published as Phys.Rev.Lett.91:232001,2003 · 4 pages, 1 figure. v2: references added

arxiv created 2003/09/18 · openalex publication_date 2003/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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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