Ginzburg-Landau effective action for a fluctuating holographic superconductor

TL;DR

This paper derives a time-dependent Ginzburg-Landau effective action for fluctuating order parameters in a holographic superconductor model near the critical point, incorporating non-equilibrium effects via the Schwinger-Keldysh formalism.

Contribution

It provides a semi-analytical derivation of the TDLG action up to quartic order and first order in time derivative for holographic superconductors.

Findings

Derived the TDLG effective action near the critical point.

Incorporated non-equilibrium fluctuations using Schwinger-Keldysh formalism.

Computed the action up to quartic order and first order in time derivative.

Abstract

Under holographic prescription for Schwinger-Keldysh closed time contour for non-equilibrium system, we consider fluctuation effect of the order parameter in a holographic superconductor model. Near the critical point, we derive the time-dependent Ginzburg-Landau effective action governing dynamics of the fluctuating order parameter. In a semi-analytical approach, the time-dependent Ginzburg-Landau action is computed up to quartic order of the fluctuating order parameter, and first order in time derivative.