Renormalized field theory of the Gribov process with quenched disorder

Using field theory, I show that the renormalization-group flow of the Gribov process (Reggeon field theory or directed percolation) equipped with quenched randomness does not reach a stable fixed point, and has only runaway solutions in the physical domain. This result supports recent findings of Moreira and Dickman from Monte Carlo simulations of the two-dimensional contact process with random dilution, namely, logarithmic critical spreading and no power laws.