Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schrödinger equation

We present a rigorous derivation of the point vortex model from the two-dimensional nonlinear Schrödinger equation, from the Hamiltonian perspective, in the limit of well-separated vortices on the background of a strong condensate. As a corollary, we calculate to high accuracy the self-energy of an isolated elementary Pitaevskii vortex for the first time.