Fluctuation effects in high-energy QCD

The recent high-energy QCD equations including the effects of fluctuations are solved numerically. We discuss their asymptotic properties and compare them with the corresponding behaviour without fluctuations as well as with the statistical-physics model obtained in the saddle point approximation. We show by using the numerical simulation of the Langevin equation that the contribution from fluctuations have a large impact on the high-energy evolution in QCD. It modifies the rapidity-dependence of the saturation scale and introduces geometric scaling violation. Our results, obtained for physical values of the coupling, are in agreement with the predictions coming from the stochastic Fischer Kolmogorov Petrovsky Piscounov (FKPP) equation