Summing pomeron loops in the dipole approach

2007/06/30 by E. Levin, J. Miller, Alex Prygarin +1 · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Classical mechanics #Dipole #Geometry #Gravitational singularity #High-Energy Particle Collisions Research #Kernel (algebra) #Kinematics #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pomeron #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Range (aeronautics) #Resummation #Scaling #Theoretical physics #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2008.03.007

published as Nucl.Phys.A806:245-286,2008 · 31 pages, 12 figures in eps files

arxiv created 2007/10/23 · openalex publication_date 2008/03/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper we argue that in the kinematic range given by 1 ≪ ln(1/\as²) ≪ \as Y ≪ (1)/(\as), we can reduce the Pomeron calculus to the exchange of non-interacting Pomerons with the renormalized amplitude of their interaction with the target. Therefore, the summation of the Pomeron loops can be performed using the improved Mueller, Patel, Salam and Iancu approximation and this leads to the geometrical scaling solution. This solution is found for the simplified BFKL kernel. We reproduce the findings of Hatta and Mueller that there are overlapping singularities. We suggest a way of dealing with these singularities.

Citations

• Diffusion into infrared and unitarization of the Balitskiĭ-Fadin-Kuraev-Lipatov Pomeron
• Diffractive η_c photo-and electroproduction with the perturbative QCD Odderon
• Solution for the BFKL pomeron calculus in zero transverse dimensions
• Langevin equation in effective theory of interacting QCD pomerons in the limit of large
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• The BFKL equation from the Wilson renormalization group
• Phenomenological theory giving the full statistics of the position of fluctuating pulled fronts
• Impact parameter dipole saturation model
• Small-x physics beyond the Kovchegov equation
• Scaling of the Conductivity with Temperature and Uniaxial Stress in Si:B at the Metal-Insulator Transition
• Dense-dilute factorization for a class of stochastic processes and for high energy QCD
• Algebraic models for the hierarchy structure of evolution equations at small x
• Geometric Scaling as Traveling Waves
• Saturation effects in deep inelastic scattering at lowQ2and its implications on diffraction
• Relating different approaches to nonlinear QCD evolution at finite gluon density
• BFKL pomeron in the next-to-leading approximation
• Quark loop contribution to BFKL evolution: Running coupling and leading- NLO intercept
• The unintegrated gluon distribution from the modified BK equation

Cited by

• Multiparticle production in the mean field approximation of high density QCD