Traveling wave solution of the Reggeon Field Theory
arXiv:0903.3373 · doi:10.1103/PhysRevD.79.105014
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.
20 pages, 2 figures; Postscript version incomplete
References in corpus (9)
- A QCD motivated model for soft interactions at high energies
- Soft processes at the LHC, I: Multi-component model
- Soft processes at the LHC, II: Soft-hard factorization breaking and gap survival
- On the probability distribution of the stochastic saturation scale in QCD
- Systematic Analysis of Scaling Properties in Deep Inelastic Scattering
- The BFKL Pomeron Calculus in the dipole approach
- Asymptotics of QCD traveling waves with fluctuations and running coupling effects
- Fluctuation Induced Instabilities in Front Propagation up a Co-Moving Reaction Gradient in Two Dimensions
- On the maximal noise for stochastic and QCD traveling waves