The superconducting order parameter and gauge dependence

Details The superconducting order parameter and gauge dependence The superconducting order parameter and gauge dependence

1999-05-19

arxiv.org/abs/cond-mat/9905276v1

Physics

Condensed Matter

Superconductivity

RevTex, 12 pages, 1 figure

Scientific paper

The gauge dependence of the renormalization group functions of the Ginzburg-Landau model is investigated. The analysis is done by means of the Ward-Takahashi identities. After defining the superconducting order parameter, it is shown that its exponent $\beta$ is in fact gauge independent. This happens because in d=3 the Landau gauge is the only gauge having a physical meaning, a property not shared by the four-dimensional model where any gauge choice is possible. The analysis is done in both the context of the $\epsilon$-expansion and in the fixed dimension approach. It is pointed out the differences that arise in both of these approaches concerning the gauge dependence.

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