  In an earlier paper it has been shown that the ultra violet divergence
structure of anomalous U(1) axial vector gauge model in the stochastic
quantization scheme is different from that in the conventional quantum field
theory. Also it has been shown that the model is expected to be renormalizable.
Based on the operator formalism of the stochastic quantization, a new approach
to anomalous U(1) axial vector gauge model is proposed. The operator formalism
provides a convenient framework for analysis of ultra violet divergences, but
the computations in a realistic model become complicated. In this paper a new
approach to do computations in the model is formulated directly in four
dimensions. The suggestions put forward here will lead to simplification in the
study of applications of the axial vector gauge theory, as well as those of
other similar models
