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Relating different approaches to nonlinear QCD evolution at finite gluon density

2000/04/03 by Alex Kovner, José Guilherme Milhano, J. Guilherme Milhano +1 · 5 citations
Mathematics · Physics and Astronomy · #Charge (physics) #Color-glass condensate #Eikonal approximation #Eikonal equation #Evolution equation #Gluon #High-Energy Particle Collisions Research #Limit (mathematics) #Mathematical analysis #Mathematics #Nonlinear system #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Statistical physics #hep-ph

paper · pdf · doi:10.1103/physrevd.62.114005

published as Phys.Rev. D62 (2000) 114005

arxiv created 2000/04/03 · openalex publication_date 2000/10/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the relation between evolution equations at low x that have been derived in different approaches in the last several years. We show that the equation derived by Balitsky and Kovchegov is obtained from the Jalilian-Marian--Kovner--Leonidov--Weigert (JKLW) equation in the limit of small induced charge density. We argue that the higher nonlinearities resummed by the JKLW equation correspond, in physical terms, to the breakdown of the eikonal approximation when the gluon fields in the target are large.

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