2009/12/14 by R. Peschanski, Robi Peschanski
Mathematics · Physics and Astronomy · #Computer science #Coupling (piping) #Diffusion #Dimension (graph theory) #Domain (mathematical analysis) #Geometry #High-Energy Particle Collisions Research #Image (mathematics) #Mathematical analysis #Mathematics #Noise (video) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Range (aeronautics) #Scaling #Statistical physics #Variable (mathematics) #cond-mat.stat-mech #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.81.054014
published as Phys.Rev.D81:054014,2010 · 10 pages, no figure, misprints corrected and reference added
arxiv created 2009/12/14 · openalex publication_date 2010/03/15 · arxiv updated 2010/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We define a mapping of the QCD Balitsky-Kovchegov equation in the diffusive approximation with noise and a generalized coupling allowing a common treatment of the fixed and running QCD couplings. It corresponds to the extension of the stochastic Fisher and Kolmogorov-Petrovskii-Piscounov equation to the radial wave propagation in a medium with negative-gradient absorption responsible for anomalous diffusion, noninteger dimension, and damped noise fluctuations. We obtain its analytic traveling-wave solutions with a new scaling curve and for running coupling a new scaling variable allowing to extend the range and validity of the geometric-scaling QCD prediction beyond the previously known domain.