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 (27)
- Total cross sections
- Saturation in Diffractive Deep Inelastic Scattering
- Geometric scaling for the total gamma^* p cross section in the low x region
- Shift in the velocity of a front due to a cut-off
- Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
- Geometric scaling as traveling waves
- Traveling wave fronts and the transition to saturation
- Universal behavior of QCD amplitudes at high energy from general tools of statistical physics
- Small-x physics beyond the Kovchegov equation
- A phenomenological theory giving the full statistics of the position of fluctuating pulled fronts
- A Langevin equation for high energy evolution with pomeron loops
- Interfacial Velocity Corrections due to Multiplicative Noise
- Universality and tree structure of high energy QCD
- Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
- 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
- Fluctuations effects in high-energy evolution of QCD
- On the probability distribution of the stochastic saturation scale in QCD
- Consequences of strong fluctuations on high-energy QCD evolution
- Systematic Analysis of Scaling Properties in Deep Inelastic Scattering
- The BFKL Pomeron Calculus in the dipole approach
- QCD traveling waves at non-asymptotic energies
- Parametric form of QCD travelling waves
- 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