Authors: E. DEMİRCAN, Q. NIU
Abstract: We investigate the microscopic theory of collective excitations and vortex dynamics in superfluid systems. We derive an effective Gross-Pitaevskii Lagrangian for the vortex and collective excitations and obtain the dynamical equations governing their motion. We solve these equations without assuming adiabaticity of vortex motion and show that the vortex has a natural cyclotron frequency. This frequency allows us to identify the vortex mass which turns out to be finite. We also conclude that this implies the existence of a length scale due to the Berry phase associated to the vortex and that it acts as an infrared cutoff.