Physics – Condensed Matter – Superconductivity
Scientific paper
1998-08-10
Europhys.Lett.45:612,1999
Physics
Condensed Matter
Superconductivity
EuroLaTex, 7 pages, 2 figures, reference updated; version to be published in Europhysics Letters
Scientific paper
10.1209/epl/i1999-00211-3
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.
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