Abstract
A systematic method for expanding the action of the BCS-theory in terms of the order parameter and its derivatives is described. It is shown that for a constant gap the Ginzburg-Landau expansion is recovered. The gradient terms up to second order yield the dispersion relation of the Nambu-Goldstone mode. Results of Schakel are discussed which show that the terms up to fourth order exactly reproduce the effective Lagrangian recently proposed by Greiter, Wilczek and Witten for the description of s-wave superconductors. The extension to p-wave superfluids will be indicated.
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