  We study the phase diagram of the two-dimensional N=1 Wess-Zumino model on
the lattice using Wilson fermions and the fermion loop formulation. We give a
complete nonperturbative determination of the ground state structure in the
continuum and infinite volume limit. We also present a determination of the
particle spectrum in the supersymmetric phase, in the supersymmetry broken
phase and across the supersymmetry breaking phase transition. In the
supersymmetry broken phase we observe the emergence of the Goldstino particle.
