On the equivalence of Reggeon field theory in zero transverse dimensions and reaction-diffusion processes

Abstract

The Reggeon field theory in zero transverse dimensions is investigated. Two versions of the theory are considered: one that allows at most triple pomeron interactions and the other that embodies an additional 2-->2 quartic Reggeon coupling. The behavior of the scattering amplitude at asymptotic rapidities is obtained in both cases. In an s-channel picture of the high energy scattering both models can be viewed as reaction-diffusion processes. We derive known results in Reggeon field theory rather easily using the reaction-diffusion formalism. We find that some results which are surprising from the Reggeon field theory point of view turn out to have a simple interpretation from the reaction-diffusion point of view.

19 pages, no figures

References in corpus (4)

• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• A zero-dimensional model for high-energy scattering in QCD
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• Diffractive dissociation including pomeron loops in zero transverse dimensions

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