The superconducting phase transition and gauge dependence

Details The superconducting phase transition and gauge dependence The superconducting phase transition and gauge dependence

1999-09-03

arxiv.org/abs/cond-mat/9909045v1

Phys. Rev. B 60, 11929 (1999)

Physics

Condensed Matter

Superconductivity

RevTex, 3 pages, no figures; accepted for publication in PRB; this paper is a short version of cond-mat/9905276

Scientific paper

10.1103/PhysRevB.60.11929

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 local 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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