2004/02/27 by A.H. Mueller, A. H. Mueller, Arif I. Shoshi +1 · 2 citations
Mathematics · Physics and Astronomy · #Boundary (topology) #Boundary value problem #Geometry #High-Energy Particle Collisions Research #Limit (mathematics) #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #Scattering #Statistical physics #Unitarity #hep-ph
paper · pdf · doi:10.1016/j.nuclphysb.2004.05.016
published as Nucl.Phys.B692:175-208,2004 · 38 pages, 8 figures, typos corrected
arxiv created 2004/02/27 · openalex publication_date 2004/05/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We note the differences between the Kovchegov equation and the Balitsky-JIMWLK equations as methods of evaluating high energy hard scattering near the unitarity limit. We attempt to simulate some of the correlations absent in the Kovchegov equation by introducing two boundaries rather than the single boundary which effectively approximates the unitarity limit guaranteed in the Kovchegov equation. We solve the problem of BFKL evolution in the presence of two boundaries and note that the resulting T-matrix now is the same in different frames, which was not the case in the single boundary case. The scaling behavior of the solution to the Kovchegov equation is apparently now lost.