  We demonstrate the feasibility of a nonperturbative analysis of quantum field
theory in the worldline formalism with the help of an efficient numerical
algorithm. In particular, we compute the effective action for a
super-renormalizable field theory with cubic scalar interaction in four
dimensions in quenched approximation (small-$N_f$ expansion) to all orders in
the coupling. We observe that nonperturbative effects exert a strong influence
on the infrared behavior, rendering the massless limit well defined in contrast
to the perturbative expectation. Our numerical method is based on a direct use
of probability distributions for worldline ensembles, preserves all Euclidean
spacetime symmetries, and thus represents a new nonperturbative tool for an
investigation of continuum quantum field theory.
