Algebraic models for the hierarchy structure of evolution equations at small x

Abstract

We explore several models of QCD evolution equations simplified by considering only the rapidity dependence of dipole scattering amplitudes, while provisionally neglecting their dependence on transverse coordinates. Our main focus is on the equations that include the processes of pomeron splittings. We examine the algebraic structures of the governing equation hierarchies, as well as the asymptotic behavior of their solutions in the large-rapidity limit.

12 pages, 5 figures; minor changes in the revised version

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Cited by in corpus (21)

• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
• Summing Pomeron loops in the dipole approach
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• On the equivalence of Reggeon field theory in zero transverse dimensions and reaction-diffusion processes
• A zero-dimensional model for high-energy scattering in QCD
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• One-dimensional model for QCD at high energy
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• QCD unitarity constraints on Reggeon Field Theory
• Diffractive dissociation including pomeron loops in zero transverse dimensions
• The BFKL Pomeron Calculus in zero transverse dimensions: diffractive processes and survival probability for central diffractive production
• Nuclei in the toy world: beyond the Pomeron in zero transverse dimensions
• On asymptotic solutions of RFT in zero transverse dimensions
• High energy scattering in Einstein-Cartan gravity
• On QCD RFT corrections to the propagator of reggeized gluons
• Dipole-dipole scattering amplitude in CGC approach
• On the anomalous dimensions of the multiple pomeron exchanges
• Running coupling and pomeron loop effects on inclusive and diffractive DIS cross sections
• Effects of gluon number fluctuations on photon - photon collisions at high energies
• Can $1/N_c$ corrections destroy the saturation of dipole densities?
• High energy QCD Lipatov's effective action in Euclidean space