Traveling wave solution of the Reggeon Field Theory
Abstract
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.
Cite
@article{arxiv.0903.3373,
title = {Traveling wave solution of the Reggeon Field Theory},
author = {Robi Peschanski},
journal= {arXiv preprint arXiv:0903.3373},
year = {2009}
}
Comments
20 pages, 2 figures; Postscript version incomplete