  The possibility that nonlocal operators might be added to the Yang-Mills
action is investigated. We point out that there exists a class of nonlocal
operators which lead to renormalizable gauge theories. These operators turn out
to be localizable by means of the introduction of auxiliary fields. The
renormalizability is thus ensured by the symmetry content exhibited by the
resulting local theory. The example of the nonlocal operator $\int A
\frac{1}{D^2} A $ is analysed in detail. A few remarks on the possible role
that these operators might have for confining theories are outlined.
