Traveling wave solution of the Reggeon Field Theory

Details Traveling wave solution of the Reggeon Field Theory Traveling wave solution of the Reggeon Field Theory

2009-03-19

arxiv.org/abs/0903.3373v3

Phys.Rev.D79:105014,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 2 figures; Postscript version incomplete

Scientific paper

10.1103/PhysRevD.79.105014

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.

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