QCD unitarity constraints on Reggeon Field Theory

Abstract

We point out that the $s$-channel unitarity of QCD imposes meaningful constraints on a possible form of the QCD Reggeon Field Theory. We show that neither the BFKL nor JIMWLK nor Braun's Hamiltonian satisfy the said constraints. In a toy, zero transverse dimensional case we construct a model that satisfies the analogous constraint and show that at infinite energy it indeed tends to a "black disk limit" as opposed to the model with triple Pomeron vertex only, routinely used as a toy model in the literature.

34 pages, 9 Figs; Minor clarifications on the concept of unitarity are added. JHEP version

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• Nuclei in the toy world: beyond the Pomeron in zero transverse dimensions
• Rare fluctuations of the $S$-matrix at NLO in QCD
• A new parton model for the soft interactions at high energies: the Odderon
• Dipole-dipole scattering amplitude in CGC approach
• Can $1/N_c$ corrections destroy the saturation of dipole densities?
• A new parton model for the soft interactions at high energies