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Superconducting phase transition and gauge dependence

1999/09/03 by Claude de Calan, C. de Calan, Flavio S. Nogueira · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.60.11929

published as Phys. Rev. B 60, 11929 (1999) · RevTex, 3 pages, no figures; accepted for publication in PRB; this paper is a short version of cond-mat/9905276

arxiv created 1999/09/03 · openalex publication_date 1999/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 \ensuremathβ 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 \ensuremathε 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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