One-dimensional model for QCD at high energy

In these proceedings a stochastic particle (1+1)-dimensional model which mimics high energy evolution and scattering in QCD at fixed impact parameter is presented. The model exhibits a saturation mechanism similar to gluon saturation in QCD as well as all the qualitative features expected in QCD at fixed impact parameter, concerning both the mean-field aspects and the effects of fluctuations, and appears to be in the universality class of the reaction-diffusion process, as also expected for QCD. The evolution equations for the scattering amplitude generated by this model appear as a natural generalization of the Balitsky-JIMWLK equations in which both target and projectile are symmetrically treated. The structural aspects of the model may inspire future searches for corresponding structures in QCD.