Quantized vortices in two-dimensional superfluids and generalized Hamiltonian dynamics

Using the functional integral for many-boson systems, we propose a new formulation of quantum vortices in two-dimensional superfluids. The motion of vortices is described by a generalized Hamiltonian dynamics in which the equation of motion is governed by a deformed canonical structure. The quantum correspondence of this unusual feature is realized by the anomalous commutators for vortex coordinates. In terms of a semiclassical language, this anomaly yields a consequence that vortex quanta behave like ``anyons.''