2014/01/24 by H. Kowalski, Henri Kowalski, L.N. Lipatov +3 · 16 citations
Physics and Astronomy · #Asymptotic freedom #Coupling (piping) #DGLAP #Distribution function #Evolution equation #Function (biology) #Gluon #High-Energy Particle Collisions Research #Limit (mathematics) #Mathematical analysis #Mathematical physics #Momentum (technical analysis) #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Pomeron #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Transverse plane #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-014-2919-y
published in The European Physical Journal C 74(6) (Springer Science+Business Media) · 14 pages, 2 figures
arxiv created 2014/01/24 · openalex publication_date 2014/06/01 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the (process-independent) Green function for the BFKL equation with running coupling, and explain how, within the semi-classical approximation, it is related to Green function of the Airy equation. The unique Green function is obtained from a combination of its required ultraviolet behaviour compatible with asymptotic freedom and an infrared limit phase imposed by the non-perturbative sector of QCD. We show that at sufficiently large gluon transverse momenta the corresponding gluon density matches that of the DGLAP analysis, whereas for relatively small values of the gluon transverse momentum the gluon distribution is sensitive to the Regge poles, whose positions are determined both by the non-perturbative QCD dynamics and physics at large transverse momenta.