Traveling wave solution of the Reggeon Field Theory

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Peschanski, Robi
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Abstract
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We identify the nonlinear evolution equation in impact-parameter space for the "Supercritical Pomeron" in Reggeon Field Theory as a 2-dimensional stochastic Fisher-Kolmogorov-Petrovski-Piscounov equation. It exactly preserves unitarity and leads in its radial form to an high energy traveling wave solution corresponding to an ""universal" behaviour of the impact-parameter front profile of the elastic amplitude; Its rapidity dependence and form depend only on one parameter, the noise strength, independently of the initial conditions and of the non-linear terms restoring unitarity. Theoretical predictions are presented for the three typical distinct regimes corresponding to zero, weak and strong noise.
Comment: 20 pages, 2 figures; Postscript version incomplete
Keywords
High Energy Physics - Phenomenology, Condensed Matter - Statistical Mechanics
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