  We examine some issues that arise in the q-deformation of a gauge theory. If
the deformation is carried out by replacing the equal time commutators of free
fields by the corresponding q-commutators, the resulting propagators are not
very much different from those of the undeformed theory as long as one is
dealing with weak fields; but the theory still violates causality. If one
postulates a q-deformed S matrix, the corresponding q-causal commutator has 2
poles of different strength and the result again amounts to a deformation of
the Lorentz group.
