Finite-temperature time-dependent effective theory for the phase field in two-dimensional d-wave neutral superconductors - art. no. 134519

We derive finite-temperature time-dependent effective actions for the phase of the pairing field, which are appropriate for a two-dimensional electron system with both nonretarded d- and s-wave attraction. As for s-wave pairi ng, the d-wave effective action contains terms with Landau damping, but the ir structure appears to be different from the s-wave case due to the fact t hat the Landau damping is determined by the quasiparticle group velocity v( g), which for d-wave pairing does not have the same direction its the nonin teracting Fermi velocity V-F. we show that for d-wave pairing the Landau te rm has a linear low-temperature dependence and in contrast to the s-wave ca se is important for all finite temperatures. A possible experimental observ ation of the phase excitations is discussed.