Abstract
We derive the effective dynamical theory for BCS superconductors, based on the effective action formalism. Both the metallic regime T ~ TC and the superconducting regime \(T \ll {T_C}\) are studied in the clean and dirty limit. The full electrodynamics of the problem is formulated in a manifestly gauge-invariant and transparent way. Furthermore, we consider the effect of particle-hole asymmetry in the band structure, and discuss its consequences for vortex dynamics and the topological term in the effective action. The effective action is the starting point for treating (quantum-) dynamical problems involving BCS superconductors.
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