Reaction-diffusion processes in zero transverse dimensions as toy models for high-energy QCD

Abstract

We examine numerically different zero-dimensional reaction-diffusion processes as candidate toy models for high-energy QCD evolution. Of the models examined -- Reggeon Field Theory, Directed Percolation and Reversible Processes -- only the latter shows the behaviour commonly expected, namely an increase of the scattering amplitude with increasing rapidity. Further, we find that increasing recombination terms, quantum loops and the heuristic inclusion of a running of the couplings, generically slow down the evolution.

17 pages, 7 figures

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Cited by in corpus (12)

• One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
• QCD unitarity constraints on Reggeon Field Theory
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons
• The JIMWLK evolution and the s-channel unitarity
• 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
• Dipole-dipole scattering amplitude in CGC approach
• High energy QCD Lipatov's effective action in Euclidean space
• On the maximal noise for stochastic and QCD traveling waves
• Can $1/N_c$ corrections destroy the saturation of dipole densities?