To a gauge invariant model of superconductors

Abstract

A scalar self-interacting charged field for the Lagrangian invariant under local gauge transformations is used for the relativistic description of superconductivity. The unique boundary of a charge density and a relativistic chemical potential of superconducting carriers makes it possible to consider the scalar field with a real mass which differs from the usual Goldstone-Higgs model. The magnetic flux quantization in three-dimensional superconducting loops is independent of stationary gravity or inertia fields while superconducting phases are coherent in the four-dimensional space.