  We apply the standard Wilson-Kadanoff (WK) momentum-space Renormalization
Group (RG) scheme for the g-ology model of one-dimensional fermions. By
explicitly carrying out calculations at the two-loop level, we show how the RG
flow equations can be derived from the summation of the cascades of
contractions generated by the effective action's mode elimination at each
infinitesimal step of the WK procedure. The rules for selecting these series of
cascades appear naturally as a consequence of the WK scheme ``on-shell''
kinematic constraints and conservation laws. The relation between the present
RG approach and the field-theoretic schemes used in earlier related studies is
analysed. Generalizations for other models and/or higher dimensions are
formulated.
