Numerical signs for a transition in the two-dimensional random field Ising model atT=0

Intensive numerical studies of exact ground states of the two-dimensional ferromagnetic random field Ising model at $T=0,$ with a Gaussian distribution of fields, are presented. Standard finite size scaling analysis of the data suggests the existence of a transition at ${\sigma }_c=0.64\mathrm{}\pm \mathrm{0.08.}$ Results are compared with existing theories and with the study of metastable avalanches in the same model.