Traveling wave fronts and the transition to saturation

2003/10/31 by S. Munier, R. Peschanski · 24 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #cond-mat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.69.034008

published as Phys.Rev.D69:034008,2004 · 9 pages, 3 figures, references added

arxiv created 2003/11/06 · openalex publication_date 2004/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a general method to study the solutions to nonlinear QCD evolution equations, based on a deep analogy with the physics of traveling waves. In particular, we show that the transition to the saturation regime of high energy QCD is identical to the formation of the front of a traveling wave. Within this physical picture, we provide the expressions for the saturation scale and the gluon density profile as a function of the total rapidity and the transverse momentum. The application to the Balitski\ifmmode \breve\imath\else \u\i\fi-Kovchegov equation for both fixed and running coupling constants confirms the effectiveness of this method.

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