vix.ing · top · new · best · stats · spec

The superconducting order parameter and gauge dependence

1999/05/19 by Claude de Calan, C. de Calan, de Calan, Claude +2
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #Superconductivity (cond-mat.supr-con) #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/9905276

RevTex, 12 pages, 1 figure

arxiv created 1999/05/19 · openalex publication_date 1999/05/19 · 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 superconducting order parameter, it is shown that its exponent β 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 ε-expansion and in the fixed dimension approach. It is pointed out the differences that arise in both of these approaches concerning the gauge dependence.

Related