Extended Time-Dependent Ginzburg–Landau Theory

We formulate the gauge invariant Lorentz covariant Ginzburg–Landau theory which describes nonstationary regimes: relaxation of a superconducting system accompanied by eigen oscillations internal degrees freedom (Higgs mode and Goldstone mode) also forced under action an external field. The electrodynamics superconductors where Anderson–Higgs mechanism occurs, at same time dynamics conduction electrons remains non-relativistic. It is demonstrated that cannot be charge density they generate transverse field only. In addition, we consider modes features in two-band superconductors. study dissipative processes, are caused movement normal component electron liquid violate covariance, on examples damped order parameter skin-effect for electromagnetic waves. An experimental consequence extended time-dependent regarding penetration into superconductor proposed.