2005/12/19 by B. Blok, L. Frankfurt
Physics and Astronomy · #Asymptotic freedom #Classical mechanics #Hadron #High-Energy Particle Collisions Research #Limit (mathematics) #Mathematical analysis #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Tachyon #hep-ph #hep-th
paper · pdf · doi:10.1142/s021773230601975x
published as Mod.Phys.Lett. A21 (2006) 549-558 · 11 pages, 2 figures
arxiv created 2005/12/19 · openalex publication_date 2006/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the effective field theory (EFT) which gives the approximate description of the scattering of two hard small dipoles in the small x processes in QCD near the black disc limit (BDL). We argue that the perturbative QCD approaches predict the existence of tachyon and visualize it in the approximation where α′ P =0. We demonstrate that the high energy behavior of the cross-section depends strongly on the diffusion law in the impact parameter plane. On the other hand, almost threshold behavior of the cross section of the hard processes and multiplicities, i.e. fast increase of cross sections (color inflation), melting of ladders into color network and softening of the longitudinal distributions of hadrons are qualitatively insensitive to the value of diffusion in the impact parameter space. We evaluate α′ P near the black disk limit and find significant α′ P as the consequence of the probability conservation.