The gauge-transformation properties of the actions of certain scalar and Ch
ern-Simons theories are investigated, including contributions from the boun
dary. By imposing chirality constraints on the fields, these types of theor
ies can be used to describe the quantum Hall effect. It is shown that the c
orresponding equation of motion for the associated current for the theory g
enerates an anomaly, which can be related directly to the Hall conductivity
.