Quantum meaning of classical (field) theory for Fermi systems

We give a path integral reconstruction of two quantum problems: the Fermi oscillator and the chiral invariant Gross-Neveu model. Integrations are carried out with respect to genuine (i.e. c-number, non-Grassmann) paths, so that one is able to identify explicitly contributions of the c-number classical models to the transition amplitudes of their quantized Fermi partners. Stationarity ''points'' of the respective actions are verified to coincide with the classical trajectories: of the classical oscillator and of the classical chiral invariant Gross-Neveu field. (orig.)