  The critical fluctuations of superconductors are discussed in a fixed
dimension scaling suited to describe the type II regime. The gauge dependence
of the anomalous dimension of the scalar field is stablished exactly from the
Ward-Takahashi identities. Its fixed point value gives the $\eta$ critical
exponent and it is shown that $\eta$ is gauge independent, as expected on
physical grounds. In the scaling considered, $\eta$ is found to be zero at
1-loop order, while $\nu\approx 0.63$. This result is just the 1-loop values
for the XY model obtained in the fixed dimension renormalization group
approach. It is shown that this XY behavior holds at all orders. The result
$\eta=\eta_{XY}$ should be contrasted with the negative values frequently
reported in the literature.
