  Unlike an earlier theory, by avoiding both the electromagnetic gauge field
shift and the assumption of the zero average of electromagnetic field
fluctuation the fermion Chern-Simons gauge theory is reformulated to obtain
mean field solutions and a self-consistent expression of the electromagnetic
polarization tensor in terms of the composite fermion picture for the systems
of fractional quantum Hall effect. Thus the newly derived electromagnetic
polarization tensor is shown to depend on the residual (effective) magnetic
field `seen' by composite fermions rather than the statistical field, which
differs from the earlier theory. The present theory reproduces the Hall
conductance of fractional quantum Hall effect. The self-consistent picture of
the composite fermion is maintained in all of our derivations: both the mean
field solutions and the electromagnetic polarization tensor are described by
the residual magnetic field seen by the composite fermions.
