Multiparticle production in the mean field approximation of high density QCD

2008/07/22 by Andrey Kormilitzin, Eugene Levin, E. Levin +1 · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Diffraction #Field (mathematics) #Functional equation #Generalization #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical physics #Mathematics #Mean field theory #Partial differential equation #Particle physics #Particle physics theoretical and experimental studies #Physics #Production (economics) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Statistical physics #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2008.09.006

published as Nucl.Phys.A813:1-13,2008 · 11 pages, 5 figures

arxiv created 2008/07/22 · openalex publication_date 2008/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The generating functional is suggested for multiparticle generation processes. In mean field approximation of high density QCD two equations for new generating functional are derived: linear functional equation for an arbitrary initial condition and non-linear one for a specific initial condition. The non-linear equation has the form of Kovchegov-Levin equation for diffraction production and gives its generalization on the processes with fixed multiplicities of produced particles.

Citations

• Multiple interactions and AGK rules in pQCD
• Inclusive gluon production in the dipole approach: Abramovskii-Gribov-Kancheli (AGK) cutting rules
• Saturation model in the non-Glauber approach
• Studies of unitarity at small x using the dipole formulation
• Summing pomeron loops in the dipole approach
• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large
• Inclusive gluon production in deep inelastic scattering at high parton density

Cited by

• QCD unitarity constraints on Reggeon Field Theory