  The functional flow equation and the Quantum Master equation are consistently
solved in perturbation for the chiral symmetric QED with and without four-fermi
interactions. Due to the presence of momentum cutoff, unconventional features
related to gauge symmetry are observed even in our perturbative results.
  In the absence of the four-fermi couplings, one-loop calculation gives us the
Ward identity, $Z_{1}=Z_{2}$, and the standard results of anomalous dimensions
and the beta function for the gauge coupling. It is a consequence of
regularization scheme independence in one-loop computation. We also find a
photon mass term.
  When included, four-fermi couplings contribute to the beta function and the
Ward identity is also modified, $Z_{1} \neq Z_{2}$, due to a term proportional
to the photon mass multiplied by the four-fermi couplings.
